Datasets:
facebook
/
BigOBench

Dataset card Data Studio Files Community
2
problem_name
stringlengths
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9
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3.45k
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11 values
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p02899 AtCoder Beginner Contest 142 - Go to School
1421
1421_89
Takahashi is a teacher responsible for a class of N students. The students are given distinct student numbers from 1 to N. Today, all the students entered the classroom at different times. According to Takahashi's record, there were A_i students in the classroom when student number i entered the classroom (including student number i). From these records, reconstruct the order in which the students entered the classroom. Constraints * 1 \le N \le 10^5 * 1 \le A_i \le N * A_i \neq A_j (i \neq j) * All values in input are integers. Input Input is given from Standard Input in the following format: N A_1 A_2 \ldots A_N Output Print the student numbers of the students in the order the students entered the classroom. Examples Input 3 2 3 1 Output 3 1 2 Input 5 1 2 3 4 5 Output 1 2 3 4 5 Input 8 8 2 7 3 4 5 6 1 Output 8 2 4 5 6 7 3 1
n = int(input()) a = map(int, input().split()) for i, x in sorted(enumerate(a), key=lambda x:x[1]): print(i+1)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list])
5 1 2 3 4 5
O(nlogn)
0.000104
{ "public_tests": [ { "input": "5\n1 2 3 4 5", "output": "1 2 3 4 5" }, { "input": "3\n2 3 1", "output": "3 1 2" }, { "input": "8\n8 2 7 3 4 5 6 1", "output": "8 2 4 5 6 7 3 1" } ], "private_tests": [], "generated_tests": [ { "input": "3\n1 3 2", "output": "1 3 2 \n" }, { "input": "5\n2 1 3 4 5", "output": "2 1 3 4 5 \n" }, { "input": "3\n1 2 3", "output": "1 2 3 \n" }, { "input": "3\n3 2 1", "output": "3 2 1 \n" }, { "input": "3\n2 1 3", "output": "2 1 3 \n" }, { "input": "3\n3 1 2", "output": "2 3 1 \n" }, { "input": "3\n-1 3 -2", "output": "3 1 2 \n" }, { "input": "8\n8 2 7 3 5 4 6 1", "output": "8 2 4 6 5 7 3 1 \n" }, { "input": "3\n-2 2 3", "output": "1 2 3 \n" }, { "input": "3\n-2 3 2", "output": "1 3 2 \n" }, { "input": "3\n-2 -1 3", "output": "1 2 3 \n" }, { "input": "3\n-1 -2 0", "output": "2 1 3 \n" }, { "input": "3\n-2 3 -1", "output": "1 3 2 \n" }, { "input": "3\n0 -2 -1", "output": "2 3 1 \n" }, { "input": "3\n-2 0 -1", "output": "1 3 2 \n" }, { "input": "3\n-1 -2 3", "output": "2 1 3 \n" }, { "input": "3\n0 -1 -2", "output": "3 2 1 \n" }, { "input": "3\n-2 -1 0", "output": "1 2 3 \n" }, { "input": "3\n-1 0 -2", "output": "3 1 2 \n" }, { "input": "3\n3 -2 -1", "output": "2 3 1 \n" }, { "input": "3\n2 3 -2", "output": "3 1 2 \n" }, { "input": "3\n3 -2 2", "output": "2 3 1 \n" }, { "input": "5\n2 1 3 4 5", "output": "2 1 3 4 5 \n" }, { "input": "3\n1 3 2", "output": "1 3 2 \n" }, { "input": "3\n1 2 3", "output": "1 2 3 \n" }, { "input": "3\n3 1 2", "output": "2 3 1 \n" }, { "input": "3\n3 2 1", "output": "3 2 1 \n" }, { "input": "3\n2 1 3", "output": "2 1 3 \n" }, { "input": "3\n-2 -1 3", "output": "1 2 3 \n" }, { "input": "3\n-1 -2 3", "output": "2 1 3 \n" }, { "input": "3\n0 -2 -1", "output": "2 3 1 \n" }, { "input": "3\n3 2 -2", "output": "3 2 1 \n" }, { "input": "3\n-1 -2 0", "output": "2 1 3 \n" }, { "input": "3\n-2 -1 0", "output": "1 2 3 \n" }, { "input": "3\n0 -1 -2", "output": "3 2 1 \n" }, { "input": "3\n3 -2 -1", "output": "2 3 1 \n" }, { "input": "3\n-2 0 -1", "output": "1 3 2 \n" }, { "input": "3\n-1 0 -2", "output": "3 1 2 \n" }, { "input": "3\n2 -2 3", "output": "2 1 3 \n" } ] }
[ 0.00011759309000764862, 0.00010762189335664335, 0.0001037254084353147, 0.0001034024000628278, 0.0000208774658882254, 0.000020848019753668598, 0.000020826956090857764, 0.000020826729944745263, 0.000020722941474005343, 0.000020700992328922824, 0.00001620422760435549, 0.000016145646689415423, 0.00001597787063434592, 0.00001577178041078178, 0.000015631375284486294, 0.000015505305812424186, 0.00001545414997286469, 0.00001533314262364069, 0.00001528136446539107, 0.000015242445760561903, 0.00001523987570094464, 0.000015184911117748035, 9.644061004537447e-7, 9.564792253792001e-7 ]
998_A. Balloons
2225
2225_120
There are quite a lot of ways to have fun with inflatable balloons. For example, you can fill them with water and see what happens. Grigory and Andrew have the same opinion. So, once upon a time, they went to the shop and bought n packets with inflatable balloons, where i-th of them has exactly a_i balloons inside. They want to divide the balloons among themselves. In addition, there are several conditions to hold: * Do not rip the packets (both Grigory and Andrew should get unbroken packets); * Distribute all packets (every packet should be given to someone); * Give both Grigory and Andrew at least one packet; * To provide more fun, the total number of balloons in Grigory's packets should not be equal to the total number of balloons in Andrew's packets. Help them to divide the balloons or determine that it's impossible under these conditions. Input The first line of input contains a single integer n (1 ≤ n ≤ 10) — the number of packets with balloons. The second line contains n integers: a_1, a_2, …, a_n (1 ≤ a_i ≤ 1000) — the number of balloons inside the corresponding packet. Output If it's impossible to divide the balloons satisfying the conditions above, print -1. Otherwise, print an integer k — the number of packets to give to Grigory followed by k distinct integers from 1 to n — the indices of those. The order of packets doesn't matter. If there are multiple ways to divide balloons, output any of them. Examples Input 3 1 2 1 Output 2 1 2 Input 2 5 5 Output -1 Input 1 10 Output -1 Note In the first test Grigory gets 3 balloons in total while Andrey gets 1. In the second test there's only one way to divide the packets which leads to equal numbers of balloons. In the third test one of the boys won't get a packet at all.
n = int(input()) a = [int(i) for i in input().split()] res = [] if n == 2 and a[0] == a[1]: print("-1") elif n == 1: print("-1") else: for i in range(n): if a[i] != sum(a)-a[i]: #print("1") res.append(i+1) break if len(res)!=0: print("1") print(*res)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int dimensions: List[int] @classmethod def from_str(cls, input_: str): n, dimensions, _ = input_.split('\n') n = int(n) dimensions = [int(x) for x in dimensions.split(' ')] return cls(n, dimensions) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.dimensions]) + '\n'
2 5 5
O(n)
0.000001
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998_A. Balloons
2225
2225_154
There are quite a lot of ways to have fun with inflatable balloons. For example, you can fill them with water and see what happens. Grigory and Andrew have the same opinion. So, once upon a time, they went to the shop and bought n packets with inflatable balloons, where i-th of them has exactly a_i balloons inside. They want to divide the balloons among themselves. In addition, there are several conditions to hold: * Do not rip the packets (both Grigory and Andrew should get unbroken packets); * Distribute all packets (every packet should be given to someone); * Give both Grigory and Andrew at least one packet; * To provide more fun, the total number of balloons in Grigory's packets should not be equal to the total number of balloons in Andrew's packets. Help them to divide the balloons or determine that it's impossible under these conditions. Input The first line of input contains a single integer n (1 ≤ n ≤ 10) — the number of packets with balloons. The second line contains n integers: a_1, a_2, …, a_n (1 ≤ a_i ≤ 1000) — the number of balloons inside the corresponding packet. Output If it's impossible to divide the balloons satisfying the conditions above, print -1. Otherwise, print an integer k — the number of packets to give to Grigory followed by k distinct integers from 1 to n — the indices of those. The order of packets doesn't matter. If there are multiple ways to divide balloons, output any of them. Examples Input 3 1 2 1 Output 2 1 2 Input 2 5 5 Output -1 Input 1 10 Output -1 Note In the first test Grigory gets 3 balloons in total while Andrey gets 1. In the second test there's only one way to divide the packets which leads to equal numbers of balloons. In the third test one of the boys won't get a packet at all.
n=int(input()) l=list(map(int,input().split())) z=sorted(l) for i in range(n): if(l[i]==z[0]): mi=i if(n>2): print(1) print(mi+1) else: if(n==2): if(l[0]==l[1]): print(-1) else: print(1) print(1) else: print(-1)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int dimensions: List[int] @classmethod def from_str(cls, input_: str): n, dimensions, _ = input_.split('\n') n = int(n) dimensions = [int(x) for x in dimensions.split(' ')] return cls(n, dimensions) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.dimensions]) + '\n'
2 5 5
O(nlogn)
0.000005
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554_A. Kyoya and Photobooks
208
208_189
Kyoya Ootori is selling photobooks of the Ouran High School Host Club. He has 26 photos, labeled "a" to "z", and he has compiled them into a photo booklet with some photos in some order (possibly with some photos being duplicated). A photo booklet can be described as a string of lowercase letters, consisting of the photos in the booklet in order. He now wants to sell some "special edition" photobooks, each with one extra photo inserted anywhere in the book. He wants to make as many distinct photobooks as possible, so he can make more money. He asks Haruhi, how many distinct photobooks can he make by inserting one extra photo into the photobook he already has? Please help Haruhi solve this problem. Input The first line of input will be a single string s (1 ≤ |s| ≤ 20). String s consists only of lowercase English letters. Output Output a single integer equal to the number of distinct photobooks Kyoya Ootori can make. Examples Input a Output 51 Input hi Output 76 Note In the first case, we can make 'ab','ac',...,'az','ba','ca',...,'za', and 'aa', producing a total of 51 distinct photo booklets.
s = input() d = set() for i in range(len(s)): for a in range(26): c = chr(ord('a') + a) d.add(s[:i] + c + s[i:]) for a in range(26): c = chr(ord('a') + a) d.add(s + c) print(len(d))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): s, _ = input_.split('\n') return cls(s) def __repr__(self): return self.s + '\n'
hi
O(n**2)
0
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554_A. Kyoya and Photobooks
208
208_290
Kyoya Ootori is selling photobooks of the Ouran High School Host Club. He has 26 photos, labeled "a" to "z", and he has compiled them into a photo booklet with some photos in some order (possibly with some photos being duplicated). A photo booklet can be described as a string of lowercase letters, consisting of the photos in the booklet in order. He now wants to sell some "special edition" photobooks, each with one extra photo inserted anywhere in the book. He wants to make as many distinct photobooks as possible, so he can make more money. He asks Haruhi, how many distinct photobooks can he make by inserting one extra photo into the photobook he already has? Please help Haruhi solve this problem. Input The first line of input will be a single string s (1 ≤ |s| ≤ 20). String s consists only of lowercase English letters. Output Output a single integer equal to the number of distinct photobooks Kyoya Ootori can make. Examples Input a Output 51 Input hi Output 76 Note In the first case, we can make 'ab','ac',...,'az','ba','ca',...,'za', and 'aa', producing a total of 51 distinct photo booklets.
q=input() print((26*(len(q)+1))-len(q))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): s, _ = input_.split('\n') return cls(s) def __repr__(self): return self.s + '\n'
hi
O(1)
0.000002
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p03346 AtCoder Grand Contest 024 - Backfront
785
785_12
You are given a sequence (P_1,P_2,...,P_N) which is a permutation of the integers from 1 through N. You would like to sort this sequence in ascending order by repeating the following operation: * Choose an element in the sequence and move it to the beginning or the end of the sequence. Find the minimum number of operations required. It can be proved that it is actually possible to sort the sequence using this operation. Constraints * 1 \leq N \leq 2\times 10^5 * (P_1,P_2,...,P_N) is a permutation of (1,2,...,N). * All values in input are integers. Input Input is given from Standard Input in the following format: N P_1 : P_N Output Print the minimum number of operations required. Examples Input 4 1 3 2 4 Output 2 Input 6 3 2 5 1 4 6 Output 4 Input 8 6 3 1 2 7 4 8 5 Output 5
n = int(input()) P = list(int(input()) for _ in range(n)) tmp = [0]*(n+1) for p in P: tmp[p] = tmp[p-1] + 1 print(n-max(tmp))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int numbers: List[int] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) numbers = [int(line) for line in lines[1:]] assert len(numbers) == n return cls(n, numbers) def __repr__(self): return str(self.n) + '\n' + '\n'.join(map(str, self.numbers))
4 1 3 2 4
O(n)
0.000007
{ "public_tests": [ { "input": "4\n1\n3\n2\n4", "output": "2" }, { "input": "6\n3\n2\n5\n1\n4\n6", "output": "4" }, { "input": "8\n6\n3\n1\n2\n7\n4\n8\n5", "output": "5" } ], "private_tests": [], "generated_tests": [ { "input": "6\n2\n3\n5\n1\n4\n6", "output": "3\n" }, { "input": "8\n6\n3\n2\n1\n7\n4\n8\n5", "output": "5\n" }, { "input": "4\n1\n4\n2\n3", "output": "1\n" }, { "input": "6\n3\n1\n5\n2\n4\n6", "output": "4\n" }, { "input": "4\n3\n1\n2\n4", "output": "2\n" }, { "input": "8\n6\n3\n1\n2\n5\n4\n8\n7", "output": "6\n" }, { "input": "4\n2\n4\n1\n3", "output": "2\n" }, { "input": "8\n6\n3\n2\n1\n4\n7\n8\n5", "output": "5\n" }, { "input": "6\n2\n5\n3\n1\n4\n6", "output": "3\n" }, { "input": "8\n6\n3\n2\n1\n7\n4\n5\n8", "output": "5\n" }, { "input": "4\n1\n3\n4\n2", "output": "2\n" }, { "input": "8\n6\n3\n2\n1\n7\n4\n8\n5", "output": "5\n" }, { "input": "6\n2\n3\n5\n1\n4\n6", "output": "3\n" }, { "input": "8\n6\n3\n2\n1\n5\n4\n8\n7", "output": "6\n" }, { "input": "6\n1\n3\n5\n2\n4\n6", "output": "4\n" }, { "input": "6\n5\n2\n3\n1\n4\n6", "output": "3\n" }, { "input": "4\n1\n3\n4\n2", "output": "2\n" }, { "input": "8\n6\n5\n2\n1\n3\n4\n8\n7", "output": "5\n" }, { "input": "6\n3\n1\n5\n2\n4\n6", "output": "4\n" } ] }
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p03346 AtCoder Grand Contest 024 - Backfront
785
785_75
You are given a sequence (P_1,P_2,...,P_N) which is a permutation of the integers from 1 through N. You would like to sort this sequence in ascending order by repeating the following operation: * Choose an element in the sequence and move it to the beginning or the end of the sequence. Find the minimum number of operations required. It can be proved that it is actually possible to sort the sequence using this operation. Constraints * 1 \leq N \leq 2\times 10^5 * (P_1,P_2,...,P_N) is a permutation of (1,2,...,N). * All values in input are integers. Input Input is given from Standard Input in the following format: N P_1 : P_N Output Print the minimum number of operations required. Examples Input 4 1 3 2 4 Output 2 Input 6 3 2 5 1 4 6 Output 4 Input 8 6 3 1 2 7 4 8 5 Output 5
N = int(input()) P = [int(input()) for i in range(N)] Q = sorted([(p, i) for i, p in enumerate(P, start=1)]) Q = [i for p, i in Q] dp = [1] * (N + 1) for i in range(1, N): if Q[i] > Q[i - 1]: dp[i] = dp[i - 1] + 1 print(N - max(dp))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int numbers: List[int] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) numbers = [int(line) for line in lines[1:]] assert len(numbers) == n return cls(n, numbers) def __repr__(self): return str(self.n) + '\n' + '\n'.join(map(str, self.numbers))
4 1 3 2 4
O(nlogn)
0.000013
{ "public_tests": [ { "input": "4\n1\n3\n2\n4", "output": "2" }, { "input": "6\n3\n2\n5\n1\n4\n6", "output": "4" }, { "input": "8\n6\n3\n1\n2\n7\n4\n8\n5", "output": "5" } ], "private_tests": [], "generated_tests": [ { "input": "6\n2\n3\n5\n1\n4\n6", "output": "3\n" }, { "input": "8\n6\n3\n2\n1\n7\n4\n8\n5", "output": "5\n" }, { "input": "4\n1\n4\n2\n3", "output": "1\n" }, { "input": "6\n3\n1\n5\n2\n4\n6", "output": "4\n" }, { "input": "4\n3\n1\n2\n4", "output": "2\n" }, { "input": "8\n6\n3\n1\n2\n5\n4\n8\n7", "output": "6\n" }, { "input": "4\n2\n4\n1\n3", "output": "2\n" }, { "input": "8\n6\n3\n2\n1\n4\n7\n8\n5", "output": "5\n" }, { "input": "6\n2\n5\n3\n1\n4\n6", "output": "3\n" }, { "input": "8\n6\n3\n2\n1\n7\n4\n5\n8", "output": "5\n" }, { "input": "4\n1\n3\n4\n2", "output": "2\n" }, { "input": "8\n6\n3\n2\n1\n7\n4\n8\n5", "output": "5\n" }, { "input": "6\n2\n3\n5\n1\n4\n6", "output": "3\n" }, { "input": "8\n6\n3\n2\n1\n5\n4\n8\n7", "output": "6\n" }, { "input": "6\n1\n3\n5\n2\n4\n6", "output": "4\n" }, { "input": "6\n5\n2\n3\n1\n4\n6", "output": "3\n" }, { "input": "4\n1\n3\n4\n2", "output": "2\n" }, { "input": "8\n6\n5\n2\n1\n3\n4\n8\n7", "output": "5\n" }, { "input": "6\n3\n1\n5\n2\n4\n6", "output": "4\n" } ] }
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1038_D. Slime
241
241_47
There are n slimes in a row. Each slime has an integer value (possibly negative or zero) associated with it. Any slime can eat its adjacent slime (the closest slime to its left or to its right, assuming that this slime exists). When a slime with a value x eats a slime with a value y, the eaten slime disappears, and the value of the remaining slime changes to x - y. The slimes will eat each other until there is only one slime left. Find the maximum possible value of the last slime. Input The first line of the input contains an integer n (1 ≤ n ≤ 500 000) denoting the number of slimes. The next line contains n integers a_i (-10^9 ≤ a_i ≤ 10^9), where a_i is the value of i-th slime. Output Print an only integer — the maximum possible value of the last slime. Examples Input 4 2 1 2 1 Output 4 Input 5 0 -1 -1 -1 -1 Output 4 Note In the first example, a possible way of getting the last slime with value 4 is: * Second slime eats the third slime, the row now contains slimes 2, -1, 1 * Second slime eats the third slime, the row now contains slimes 2, -2 * First slime eats the second slime, the row now contains 4 In the second example, the first slime can keep eating slimes to its right to end up with a value of 4.
n=int(input()) a=list(map(int,input().split())) if n==1: print(a[0]) elif all(ele>0 for ele in a): s=sum(a)-2*min(a) print(s) elif all(ele<0 for ele in a): s=abs(sum(a))-2*abs(max(a)) print(s) else: ans=0 for ele in a: ans+=abs(ele) print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 0 -1 -1 -1 -1
O(n)
0.000003
{ "public_tests": [ { "input": "5\n0 -1 -1 -1 -1\n", "output": "4\n" }, { "input": "4\n2 1 2 1\n", "output": "4\n" } ], "private_tests": [ { "input": "2\n-4 -5\n", "output": "1\n" }, { "input": "10\n-20 0 3 -5 -18 15 -3 -9 -7 9\n", "output": "89\n" }, { "input": "2\n-2 -2\n", "output": "0\n" }, { "input": "8\n-1 5 -19 4 -12 20 1 -12\n", "output": "74\n" }, { "input": "1\n-10\n", "output": "-10\n" }, { "input": "3\n-2 -4 -6\n", "output": "8\n" }, { "input": "2\n10 8\n", "output": "2\n" }, { "input": "9\n2 4 -4 15 1 11 15 -7 -20\n", "output": "79\n" }, { "input": "2\n-2 -3\n", "output": "1\n" }, { "input": "2\n-1 -5\n", "output": "4\n" }, { "input": "3\n-1 -2 -3\n", "output": "4\n" }, { "input": "2\n-1 -1\n", "output": "0\n" }, { "input": "1\n11\n", "output": "11\n" }, { "input": "2\n-10 -5\n", "output": "5\n" }, { "input": "2\n-1 -2\n", "output": "1\n" }, { "input": "3\n17 4 -1\n", "output": "22\n" }, { "input": "4\n20 3 -15 7\n", "output": "45\n" }, { "input": "3\n-1 -1 -1\n", "output": "1\n" }, { "input": "5\n-7 -1 -1 -1 -1\n", "output": "9\n" }, { "input": "4\n-1 -2 -3 -4\n", "output": "8\n" }, { "input": "2\n-2 -1\n", "output": "1\n" }, { "input": "4\n-1 -1 -1 -1\n", "output": "2\n" }, { "input": "5\n-14 -2 0 -19 -12\n", "output": "47\n" }, { "input": "2\n1 2\n", "output": "1\n" }, { "input": "2\n-5 -5\n", "output": "0\n" }, { "input": "2\n-2 -4\n", "output": "2\n" }, { "input": "5\n-1 -2 -3 -2 -1\n", "output": "7\n" }, { "input": "7\n-8 9 0 -10 -20 -8 3\n", "output": "58\n" }, { "input": "5\n-1 -1 -1 -1 -1\n", "output": "3\n" }, { "input": "6\n-15 2 -19 20 0 9\n", "output": "65\n" }, { "input": "2\n-9 -3\n", "output": "6\n" }, { "input": "1\n-1000000000\n", "output": "-1000000000\n" } ], "generated_tests": [ { "input": "2\n-2 -5\n", "output": "3\n" }, { "input": "10\n-20 0 3 -5 -27 15 -3 -9 -7 9\n", "output": "98\n" }, { "input": "2\n-1 -3\n", "output": "2\n" }, { "input": "8\n-1 5 -19 4 -8 20 1 -12\n", "output": "70\n" }, { "input": "1\n-8\n", "output": 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1038_D. Slime
241
241_101
There are n slimes in a row. Each slime has an integer value (possibly negative or zero) associated with it. Any slime can eat its adjacent slime (the closest slime to its left or to its right, assuming that this slime exists). When a slime with a value x eats a slime with a value y, the eaten slime disappears, and the value of the remaining slime changes to x - y. The slimes will eat each other until there is only one slime left. Find the maximum possible value of the last slime. Input The first line of the input contains an integer n (1 ≤ n ≤ 500 000) denoting the number of slimes. The next line contains n integers a_i (-10^9 ≤ a_i ≤ 10^9), where a_i is the value of i-th slime. Output Print an only integer — the maximum possible value of the last slime. Examples Input 4 2 1 2 1 Output 4 Input 5 0 -1 -1 -1 -1 Output 4 Note In the first example, a possible way of getting the last slime with value 4 is: * Second slime eats the third slime, the row now contains slimes 2, -1, 1 * Second slime eats the third slime, the row now contains slimes 2, -2 * First slime eats the second slime, the row now contains 4 In the second example, the first slime can keep eating slimes to its right to end up with a value of 4.
n=int(input()) a=list(map(int, input().split())) a.sort() if n==1: print(a[0]) else: i=0 while i<n and a[i]<=0: i+=1 if i==0: print(sum(a)-2*a[0]) elif i==n: print(2*a[-1]-sum(a)) else: print(sum(a[i:])-sum(a[:i]))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 0 -1 -1 -1 -1
O(nlogn)
0.000014
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1111_A. Superhero Transformation
2436
2436_325
We all know that a superhero can transform to certain other superheroes. But not all Superheroes can transform to any other superhero. A superhero with name s can transform to another superhero with name t if s can be made equal to t by changing any vowel in s to any other vowel and any consonant in s to any other consonant. Multiple changes can be made. In this problem, we consider the letters 'a', 'e', 'i', 'o' and 'u' to be vowels and all the other letters to be consonants. Given the names of two superheroes, determine if the superhero with name s can be transformed to the Superhero with name t. Input The first line contains the string s having length between 1 and 1000, inclusive. The second line contains the string t having length between 1 and 1000, inclusive. Both strings s and t are guaranteed to be different and consist of lowercase English letters only. Output Output "Yes" (without quotes) if the superhero with name s can be transformed to the superhero with name t and "No" (without quotes) otherwise. You can print each letter in any case (upper or lower). Examples Input a u Output Yes Input abc ukm Output Yes Input akm ua Output No Note In the first sample, since both 'a' and 'u' are vowels, it is possible to convert string s to t. In the third sample, 'k' is a consonant, whereas 'a' is a vowel, so it is not possible to convert string s to t.
cons=['b', 'c', 'd','f', 'g', 'h', 'j', 'k', 'l', 'm', 'n', 'p', 'q', 'r', 's', 't','v', 'w', 'x', 'y', 'z'] vow=['a','e','i','o','u'] a=input() b=input() n=len(a) a=list(a) b=list(b) i=0 while(i<n): if (n!=len(b)): print('No') break if ((a[i] in cons) and (b[i] in vow)) or ((a[i] in vow) and (b[i] in cons)): print("No") break i=i+1 if (i==n): print("Yes")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: a: str b: str @classmethod def from_str(cls, input_: str): a, b, _ = input_.split('\n') return cls(a, b) def __repr__(self): return self.a + '\n' + self.b + '\n'
akm ua
O(n+m)
0
{ "public_tests": [ { "input": "akm\nua\n", "output": "No\n" }, { "input": "a\nu\n", "output": "YES\n" }, { "input": "abc\nukm\n", "output": "YES\n" } ], "private_tests": [ { "input": "b\na\n", "output": "NO\n" }, { "input": "abcdef\ncdabef\n", "output": "NO\n" }, { "input": "ka\nak\n", "output": "NO\n" }, { "input": "aabcd\nbcaad\n", "output": "NO\n" }, { "input": "aabb\nabab\n", "output": "NO\n" }, { "input": "zenudggmyopddhszhrbmftgzmjorabhgojdtfnzxjkayjlkgczsyshczutkdchiytqlfsevymipufxkxojlvkkqxvjhpjmcxeiluua\nblcdiwjphlpzwvknsyvbcodpyktizgatrlieiikktghixbikehsiknjuateltwkyyhgabygwtclyeyquaoiqnypoxnvyzvyhfejole\n", "output": "NO\n" }, { "input": "oihjee\naedcouklbbbcccvfgjkl\n", "output": "No\n" }, { "input": "abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\nbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\n", "output": "NO\n" }, { "input": "am\nma\n", "output": "NO\n" }, { "input": "aaa\naa\n", "output": "No\n" }, { "input": "abcdefghikl\njhg\n", "output": "No\n" }, { "input": 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"zenudggmyopddhszhrbmftgzmjorabhgojdtfnzxjkayjlkgczsyshczutkdchiytqlfsevymipufxkxojlvkkqxvjhpjmcxeiluua\nelojefhyvzyvnxopynqioauqyeylctwgybaghyykwtlesaujnkishekibxihgtkkiieilrtagzitkypdocbvysnkvwzplhpjwidclb\n", "output": "No\n" }, { "input": "oehjeh\naedcouklbbbcccvfgjkl\n", "output": "No\n" }, { "input": "abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcbbbbbbbbbbbbb\nbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbb\n", "output": "No\n" }, { "input": "ma\nam\n", "output": "No\n" }, { "input": "aab\naa\n", "output": "No\n" }, { "input": "abceeeghikl\njhg\n", "output": "No\n" }, { "input": "bcc\niea\n", "output": "No\n" }, { "input": "abac\nbbaa\n", "output": "No\n" }, { "input": "cdba\na\n", "output": "No\n" }, { "input": "eieoiiieaiuiiauieeuoueeoudljpjrpxdtqkrdfmhktpqrnkmyggywglpfpfmhrbaiioeuaieaouaoioaiuoiuueuaoouaeeoaaaueauueeiuaueuaeouiaaaieeaeiuouoiooauuoeauaiaoouuauuuuocqschpcxrxrgrcsjmwcbyfvtdxqtwha\naoeaoaoueieeioooiapoeoeoitvplxwkprykbhvxylcnxrhpgqclyjgfpzdpqwlcvpuooeueoouieioeuouieoaaueuiiiaeoiaeueoiaioaioauiuuuuiaieauaeaieeeueouaeoaoeouuoioaaooaeiiopwbyvkywxvqqtxnzpswdwtzywfpslju\n", "output": "No\n" }, { "input": "aa`\naaabb\n", "output": "No\n" }, { "input": "acab\naaba\n", "output": "No\n" }, { "input": "bca\ncde\n", "output": "Yes\n" }, { "input": "mbu\nua\n", "output": "No\n" }, { "input": "aaaaaeeeeeiiiihooooouuuuu\nuoieauoieauoieauoieauoiea\n", "output": "No\n" }, { "input": "baaa\nbbaa\n", "output": "No\n" }, { "input": "abacbb\nbbbaaa\n", "output": "No\n" }, { "input": "aaa\ncaa\n", "output": "No\n" }, { "input": "f\nj\n", "output": "Yes\n" }, { "input": "`ba\nba`\n", "output": "No\n" }, { "input": "bcaa\naaabbb\n", "output": "No\n" }, { "input": "bc\na\n", "output": "No\n" }, { "input": "cba\ncab\n", "output": "No\n" }, { "input": "uuuuuoooooiiiiieeeeeaaaaa\nqwstysdfghjklzxcvbnmplmjk\n", "output": "No\n" }, { "input": "bbd\ncab\n", "output": "No\n" }, { "input": "ighjuo\nabklpoooeitididisicmdmscdcdsa\n", "output": "No\n" }, { "input": "bk\nkb\n", "output": "Yes\n" }, { "input": "anne\nnena\n", "output": "No\n" }, { "input": "b\n`a\n", "output": "No\n" }, { "input": "abcdef\nfdaebd\n", "output": "No\n" }, { "input": "aabb\nabaa\n", "output": "No\n" }, { "input": "aq\nap\n", "output": "Yes\n" }, { "input": "apt\ntor\n", "output": "No\n" }, { "input": "eeiaoouoouaiaiizjgkmwdqsgvqltfylymtdfrggphtfcaieiuueouaeieeiuuieuieaaeueiaeuaaiuiauueuiuieeaaoudymrtstxqsa\nuttwfbdhrmgeeiueeiauoioeiueeoooeoeoiueuoiueuuaeauiiuaaeoeoeuewhrhdykcyqqmyqljwkpcslxcnspfzteeuaieia`auiiuo\n", "output": "No\n" }, { "input": "bb\n`\n", "output": "No\n" }, { "input": "ba\naa\n", "output": "No\n" }, { "input": "abc\nee\n", "output": "No\n" }, { "input": "cef\ncba\n", "output": "No\n" }, { "input": "abcde\ndfacb\n", "output": "No\n" }, { "input": "za\nzb\n", "output": "No\n" }, { "input": "cba\ndff\n", "output": "No\n" }, { "input": "v\ne\n", "output": "No\n" } ] }
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1111_A. Superhero Transformation
2436
2436_612
We all know that a superhero can transform to certain other superheroes. But not all Superheroes can transform to any other superhero. A superhero with name s can transform to another superhero with name t if s can be made equal to t by changing any vowel in s to any other vowel and any consonant in s to any other consonant. Multiple changes can be made. In this problem, we consider the letters 'a', 'e', 'i', 'o' and 'u' to be vowels and all the other letters to be consonants. Given the names of two superheroes, determine if the superhero with name s can be transformed to the Superhero with name t. Input The first line contains the string s having length between 1 and 1000, inclusive. The second line contains the string t having length between 1 and 1000, inclusive. Both strings s and t are guaranteed to be different and consist of lowercase English letters only. Output Output "Yes" (without quotes) if the superhero with name s can be transformed to the superhero with name t and "No" (without quotes) otherwise. You can print each letter in any case (upper or lower). Examples Input a u Output Yes Input abc ukm Output Yes Input akm ua Output No Note In the first sample, since both 'a' and 'u' are vowels, it is possible to convert string s to t. In the third sample, 'k' is a consonant, whereas 'a' is a vowel, so it is not possible to convert string s to t.
a={*'aeiou'} i=input x,y=i(),i() print('YNEOS'[len(x)!=len(y) or any((u in a)^(v in a) for u,v in zip(x,y))::2])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: a: str b: str @classmethod def from_str(cls, input_: str): a, b, _ = input_.split('\n') return cls(a, b) def __repr__(self): return self.a + '\n' + self.b + '\n'
akm ua
O(1)
0.000001
{ "public_tests": [ { "input": "akm\nua\n", "output": "No\n" }, { "input": "a\nu\n", "output": "YES\n" }, { "input": "abc\nukm\n", "output": "YES\n" } ], "private_tests": [ { "input": "b\na\n", "output": "NO\n" }, { "input": "abcdef\ncdabef\n", "output": "NO\n" }, { "input": "ka\nak\n", "output": "NO\n" }, { "input": "aabcd\nbcaad\n", "output": "NO\n" }, { "input": "aabb\nabab\n", "output": "NO\n" }, { "input": "zenudggmyopddhszhrbmftgzmjorabhgojdtfnzxjkayjlkgczsyshczutkdchiytqlfsevymipufxkxojlvkkqxvjhpjmcxeiluua\nblcdiwjphlpzwvknsyvbcodpyktizgatrlieiikktghixbikehsiknjuateltwkyyhgabygwtclyeyquaoiqnypoxnvyzvyhfejole\n", "output": "NO\n" }, { "input": "oihjee\naedcouklbbbcccvfgjkl\n", "output": "No\n" }, { "input": "abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\nbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\n", "output": "NO\n" }, { "input": "am\nma\n", "output": "NO\n" }, { "input": "aaa\naa\n", "output": "No\n" }, { "input": "abcdefghikl\njhg\n", "output": "No\n" }, { "input": "bcd\naei\n", "output": "NO\n" }, { "input": "abab\naabb\n", "output": "NO\n" }, { "input": "abcd\na\n", "output": "No\n" }, { "input": "eieoiiieaiuiiauieeuoueeoudljpjrpxdtqkrdfmhktpqrnkmyggywglpfpfmhrbaiioeuaieaouaoioaiuoiuueuaoouaeeoaaaueauueeiuaueuaeouiaaaieeaeiuouoiooauuoeauaiaoouuauuuuocqschpcxrxrgrcsjmwcbyfvtdxqtwha\naoeaoaoueieeioooiaooeoeoitvplxwkprykbhvxylcnxrhpgqclyjgfpzdpqwlcvouooeueoouieioeuouieoaaueuiiiaeoiaeueoiaioaioauiuuuuiaieauaeaieeeueouaeoaoeouuoioaaooaeiiopwbyvkywxvqqtxnzpswdwtzywfpslju\n", "output": "YES\n" }, { "input": "abc\nkmu\n", "output": "NO\n" }, { "input": "aaa\naaabb\n", "output": "No\n" }, { "input": "abaa\naaba\n", "output": "NO\n" }, { "input": "abc\ncde\n", "output": "NO\n" }, { "input": "uam\nua\n", "output": "No\n" }, { "input": "aaaaaeeeeeiiiiiooooouuuuu\naeiouaeiouaeiouaeiouaeiou\n", "output": "YES\n" }, { "input": "aabb\nbbaa\n", "output": "NO\n" }, { "input": "aaabbb\nbbbaaa\n", "output": "NO\n" }, { "input": "aab\nbaa\n", "output": "NO\n" }, { "input": "f\nk\n", "output": "YES\n" }, { "input": "aba\nbaa\n", "output": "NO\n" }, { "input": "ba\nab\n", "output": "NO\n" }, { "input": "aabb\naaabbb\n", "output": "No\n" }, { "input": "bb\nb\n", "output": "No\n" }, { "input": "abc\nbca\n", "output": "NO\n" }, { "input": "aaaaaeeeeeiiiiiooooouuuuu\nqwrtysdfghjklzxcvbnmplmjk\n", "output": "NO\n" }, { "input": "abc\ncab\n", "output": "NO\n" }, { "input": "oujhgi\nabklpoooeisididisicmdmscdcdsa\n", "output": "No\n" }, { "input": "ak\nka\n", "output": "NO\n" }, { "input": "anne\nnnae\n", "output": "NO\n" }, { "input": "a\naa\n", "output": "No\n" }, { "input": "abcdef\ncdaebf\n", "output": "NO\n" }, { "input": "aaba\nabaa\n", "output": "NO\n" }, { "input": "aq\nqa\n", "output": "NO\n" }, { "input": "art\ntor\n", "output": "NO\n" }, { "input": "eeiaoouoouaiaiizjgkmwdqsgvqltfylymtdfrggphtfcaieiuueouaeieeiuuieuieaaeueiaeuaaiuiauueuiuieeaaoudymrtstxqsa\nouiiuaaaieiaueetzfpsncxlscpkwjlqymqqyckydhrhweueoeoeaauiiuaeauueuioueuioeoeoooeeuieoiouaieeuieegmrhdbfwttu\n", "output": "YES\n" }, { "input": "ab\na\n", "output": "No\n" }, { "input": "ab\nba\n", "output": "NO\n" }, { "input": "abc\ned\n", "output": "No\n" }, { "input": "def\nabc\n", "output": "NO\n" }, { "input": "abcde\nbcaed\n", "output": "NO\n" }, { "input": "az\nza\n", "output": "NO\n" }, { "input": "abc\ndef\n", "output": "NO\n" }, { "input": "u\nd\n", "output": "NO\n" }, { "input": "z\no\n", "output": "NO\n" }, { "input": "zdfouibgjjjkjkkkklllllalllalas\nrtgaoufk\n", "output": "No\n" }, { "input": "dkjsafhdlgfkjhdsgklhfjaghlfkdfjghfjhgldhfgkjlhksdhgkjdshfhgkjashgfshah\ndkjsafhdlgfkjhdsgklhfjaghlfkdfjghfjhgldhfgkjlhksdhgkjdshfhgkjashgfsha\n", "output": "No\n" }, { "input": "abab\nbaba\n", "output": "NO\n" } ], "generated_tests": [ { "input": "a\na\n", "output": "Yes\n" }, { "input": "`bcdef\ncdabef\n", "output": "No\n" }, { "input": "ka\n`k\n", "output": "No\n" }, { "input": "dcbaa\nbcaad\n", "output": "No\n" }, { "input": "abab\nabab\n", "output": "Yes\n" }, { "input": "zenudggmyopddhszhrbmftgzmjorabhgojdtfnzxjkayjlkgczsyshczutkdchiytqlfsevymipufxkxojlvkkqxvjhpjmcxeiluua\nblcdiwjphlpzwvknsyvbcodpyktizgatrlieiikktghixbikehsiknjuaseltwkyyhgabygwtclyeyquaoiqnypoxnvyzvyhfejole\n", "output": "No\n" }, { "input": "oehjei\naedcouklbbbcccvfgjkl\n", "output": "No\n" }, { "input": "abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcbbbbbbbbbbbbb\nbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\n", "output": "No\n" }, { "input": "am\nam\n", "output": "Yes\n" }, { "input": "baa\naa\n", "output": "No\n" }, { "input": "abcdeeghikl\njhg\n", "output": "No\n" }, { "input": "bcd\niea\n", "output": "No\n" }, { "input": "abab\nbbaa\n", "output": "No\n" }, { "input": "abdc\na\n", "output": "No\n" }, { "input": "eieoiiieaiuiiauieeuoueeoudljpjrpxdtqkrdfmhktpqrnkmyggywglpfpfmhrbaiioeuaieaouaoioaiuoiuueuaoouaeeoaaaueauueeiuaueuaeouiaaaieeaeiuouoiooauuoeauaiaoouuauuuuocqschpcxrxrgrcsjmwcbyfvtdxqtwha\naoeaoaoueieeioooiapoeoeoitvplxwkprykbhvxylcnxrhpgqclyjgfpzdpqwlcvouooeueoouieioeuouieoaaueuiiiaeoiaeueoiaioaioauiuuuuiaieauaeaieeeueouaeoaoeouuoioaaooaeiiopwbyvkywxvqqtxnzpswdwtzywfpslju\n", "output": "No\n" }, { "input": "abc\nkmv\n", "output": "No\n" }, { "input": "`aa\naaabb\n", "output": "No\n" }, { "input": "acaa\naaba\n", "output": "No\n" }, { "input": "bac\ncde\n", "output": "No\n" }, { "input": "mau\nua\n", "output": "No\n" }, { "input": "aaaaaeeeeeiiiihooooouuuuu\naeiouaeiouaeiouaeiouaeiou\n", "output": "No\n" }, { "input": "aaab\nbbaa\n", "output": "No\n" }, { "input": "aaacbb\nbbbaaa\n", "output": "No\n" }, { "input": "aab\ncaa\n", "output": "No\n" }, { "input": "g\nk\n", "output": "Yes\n" }, { "input": "aba\nba`\n", "output": "No\n" }, { "input": "b`\nab\n", "output": "No\n" }, { "input": "bbaa\naaabbb\n", "output": "No\n" }, { "input": "bb\na\n", "output": "No\n" }, { "input": "abc\nacb\n", "output": "Yes\n" }, { "input": "uuuuuoooooiiiiieeeeeaaaaa\nqwrtysdfghjklzxcvbnmplmjk\n", "output": "No\n" }, { "input": "abd\ncab\n", "output": "No\n" }, { "input": "oujhgi\nabklpoooeitididisicmdmscdcdsa\n", "output": "No\n" }, { "input": "bk\nka\n", "output": "No\n" }, { "input": "anne\nnnea\n", "output": "No\n" }, { "input": "b\naa\n", "output": "No\n" }, { "input": "abcdef\nddaebf\n", "output": "No\n" }, { "input": "aaab\nabaa\n", "output": "No\n" }, { "input": "aq\naq\n", "output": "Yes\n" }, { "input": "aqt\ntor\n", "output": "No\n" }, { "input": "eeiaoouoouaiaiizjgkmwdqsgvqltfylymtdfrggphtfcaieiuueouaeieeiuuieuieaaeueiaeuaaiuiauueuiuieeaaoudymrtstxqsa\nuttwfbdhrmgeeiueeiauoioeiueeoooeoeoiueuoiueuuaeauiiuaaeoeoeuewhrhdykcyqqmyqljwkpcslxcnspfzteeuaieiaaauiiuo\n", "output": "No\n" }, { "input": "ab\n`\n", "output": "No\n" }, { "input": "ab\naa\n", "output": "No\n" }, { "input": "abc\nde\n", "output": "No\n" }, { "input": "def\ncba\n", "output": "No\n" }, { "input": "abcde\nbcafd\n", "output": "No\n" }, { "input": "az\nzb\n", "output": "No\n" }, { "input": "cba\ndef\n", "output": "No\n" }, { "input": "u\ne\n", "output": "Yes\n" }, { "input": "z\nn\n", "output": "Yes\n" }, { "input": "zdfouibgjjjkjkkkklllllalllalas\nkfuoagtr\n", "output": "No\n" }, { "input": "dkjsafhdlgfkjhdsgklhfjaghlfkdfjghfjhgldhfgkjlhksdhgkjdshfhgkjashgfshah\nahsfghsajkghfhsdjkghdskhljkgfhdlghjfhgjfdkflhgajfhlkgsdhjkfgldhfasjkd\n", "output": "No\n" }, { "input": "baba\nbaba\n", "output": "Yes\n" }, { "input": "`km\nua\n", "output": "No\n" }, { "input": "abc\nmku\n", "output": "No\n" }, { "input": "`acdef\ncdabef\n", "output": "No\n" }, { "input": "dcbaa\ndaacb\n", "output": "No\n" }, { "input": "abba\nabab\n", "output": "No\n" }, { "input": "zenudggmyopddhszhrbmftgzmjorabhgojdtfnzxjkayjlkgczsyshczutkdchiytqlfsevymipufxkxojlvkkqxvjhpjmcxeiluua\nelojefhyvzyvnxopynqioauqyeylctwgybaghyykwtlesaujnkishekibxihgtkkiieilrtagzitkypdocbvysnkvwzplhpjwidclb\n", "output": "No\n" }, { "input": "oehjeh\naedcouklbbbcccvfgjkl\n", "output": "No\n" }, { "input": "abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcbbbbbbbbbbbbb\nbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbb\n", "output": "No\n" }, { "input": "ma\nam\n", "output": "No\n" }, { "input": "aab\naa\n", "output": "No\n" }, { "input": "abceeeghikl\njhg\n", "output": "No\n" }, { "input": "bcc\niea\n", "output": "No\n" }, { "input": "abac\nbbaa\n", "output": "No\n" }, { "input": "cdba\na\n", "output": "No\n" }, { "input": "eieoiiieaiuiiauieeuoueeoudljpjrpxdtqkrdfmhktpqrnkmyggywglpfpfmhrbaiioeuaieaouaoioaiuoiuueuaoouaeeoaaaueauueeiuaueuaeouiaaaieeaeiuouoiooauuoeauaiaoouuauuuuocqschpcxrxrgrcsjmwcbyfvtdxqtwha\naoeaoaoueieeioooiapoeoeoitvplxwkprykbhvxylcnxrhpgqclyjgfpzdpqwlcvpuooeueoouieioeuouieoaaueuiiiaeoiaeueoiaioaioauiuuuuiaieauaeaieeeueouaeoaoeouuoioaaooaeiiopwbyvkywxvqqtxnzpswdwtzywfpslju\n", "output": "No\n" }, { "input": "aa`\naaabb\n", "output": "No\n" }, { "input": "acab\naaba\n", "output": "No\n" }, { "input": "bca\ncde\n", "output": "Yes\n" }, { "input": "mbu\nua\n", "output": "No\n" }, { "input": "aaaaaeeeeeiiiihooooouuuuu\nuoieauoieauoieauoieauoiea\n", "output": "No\n" }, { "input": "baaa\nbbaa\n", "output": "No\n" }, { "input": "abacbb\nbbbaaa\n", "output": "No\n" }, { "input": "aaa\ncaa\n", "output": "No\n" }, { "input": "f\nj\n", "output": "Yes\n" }, { "input": "`ba\nba`\n", "output": "No\n" }, { "input": "bcaa\naaabbb\n", "output": "No\n" }, { "input": "bc\na\n", "output": "No\n" }, { "input": "cba\ncab\n", "output": "No\n" }, { "input": "uuuuuoooooiiiiieeeeeaaaaa\nqwstysdfghjklzxcvbnmplmjk\n", "output": "No\n" }, { "input": "bbd\ncab\n", "output": "No\n" }, { "input": "ighjuo\nabklpoooeitididisicmdmscdcdsa\n", "output": "No\n" }, { "input": "bk\nkb\n", "output": "Yes\n" }, { "input": "anne\nnena\n", "output": "No\n" }, { "input": "b\n`a\n", "output": "No\n" }, { "input": "abcdef\nfdaebd\n", "output": "No\n" }, { "input": "aabb\nabaa\n", "output": "No\n" }, { "input": "aq\nap\n", "output": "Yes\n" }, { "input": "apt\ntor\n", "output": "No\n" }, { "input": "eeiaoouoouaiaiizjgkmwdqsgvqltfylymtdfrggphtfcaieiuueouaeieeiuuieuieaaeueiaeuaaiuiauueuiuieeaaoudymrtstxqsa\nuttwfbdhrmgeeiueeiauoioeiueeoooeoeoiueuoiueuuaeauiiuaaeoeoeuewhrhdykcyqqmyqljwkpcslxcnspfzteeuaieia`auiiuo\n", "output": "No\n" }, { "input": "bb\n`\n", "output": "No\n" }, { "input": "ba\naa\n", "output": "No\n" }, { "input": "abc\nee\n", "output": "No\n" }, { "input": "cef\ncba\n", "output": "No\n" }, { "input": "abcde\ndfacb\n", "output": "No\n" }, { "input": "za\nzb\n", "output": "No\n" }, { "input": "cba\ndff\n", "output": "No\n" }, { "input": "v\ne\n", "output": "No\n" } ] }
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66_D. Petya and His Friends
2926
2926_54
Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, where d represents such a maximal positive number that each ai (1 ≤ i ≤ k) is evenly divisible by d. At that, we assume that all ai's are greater than zero. Knowing that Petya is keen on programming, his friends has agreed beforehand that the 1-st friend gives a1 sweets, the 2-nd one gives a2 sweets, ..., the n-th one gives an sweets. At the same time, for any i and j (1 ≤ i, j ≤ n) they want the GCD(ai, aj) not to be equal to 1. However, they also want the following condition to be satisfied: GCD(a1, a2, ..., an) = 1. One more: all the ai should be distinct. Help the friends to choose the suitable numbers a1, ..., an. Input The first line contains an integer n (2 ≤ n ≤ 50). Output If there is no answer, print "-1" without quotes. Otherwise print a set of n distinct positive numbers a1, a2, ..., an. Each line must contain one number. Each number must consist of not more than 100 digits, and must not contain any leading zeros. If there are several solutions to that problem, print any of them. Do not forget, please, that all of the following conditions must be true: * For every i and j (1 ≤ i, j ≤ n): GCD(ai, aj) ≠ 1 * GCD(a1, a2, ..., an) = 1 * For every i and j (1 ≤ i, j ≤ n, i ≠ j): ai ≠ aj Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d). Examples Input 3 Output 99 55 11115 Input 4 Output 385 360 792 8360
isprime = [1 for i in range(2003)] isprime[0] = 0 isprime[1] = 0 for i in range(2,2000,1): if(isprime[i]): j = i*i while j < 2000: isprime[j] = 0 j += i prime = [] for i in range(2,2000,1): if(isprime[i]): prime.append(i) n = int(input()) if(n==2): print('-1') exit(0) for i in range(n): val = 1 for j in range(n): if i==j : continue val *= prime[j] print(val)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int @classmethod def from_str(cls, input_: str): n = int(input_.strip()) return cls(n) def __repr__(self): return str(self.n) + '\n'
4
O(n**2)
0.000005
{ "public_tests": [ { "input": "4\n", "output": "105\n70\n42\n30\n" }, { "input": "3\n", "output": "15\n10\n6\n" } ], "private_tests": [ { "input": "8\n", "output": "4849845\n3233230\n1939938\n1385670\n881790\n746130\n570570\n510510\n" }, { "input": "34\n", "output": 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66_D. Petya and His Friends
2926
2926_50
Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, where d represents such a maximal positive number that each ai (1 ≤ i ≤ k) is evenly divisible by d. At that, we assume that all ai's are greater than zero. Knowing that Petya is keen on programming, his friends has agreed beforehand that the 1-st friend gives a1 sweets, the 2-nd one gives a2 sweets, ..., the n-th one gives an sweets. At the same time, for any i and j (1 ≤ i, j ≤ n) they want the GCD(ai, aj) not to be equal to 1. However, they also want the following condition to be satisfied: GCD(a1, a2, ..., an) = 1. One more: all the ai should be distinct. Help the friends to choose the suitable numbers a1, ..., an. Input The first line contains an integer n (2 ≤ n ≤ 50). Output If there is no answer, print "-1" without quotes. Otherwise print a set of n distinct positive numbers a1, a2, ..., an. Each line must contain one number. Each number must consist of not more than 100 digits, and must not contain any leading zeros. If there are several solutions to that problem, print any of them. Do not forget, please, that all of the following conditions must be true: * For every i and j (1 ≤ i, j ≤ n): GCD(ai, aj) ≠ 1 * GCD(a1, a2, ..., an) = 1 * For every i and j (1 ≤ i, j ≤ n, i ≠ j): ai ≠ aj Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d). Examples Input 3 Output 99 55 11115 Input 4 Output 385 360 792 8360
l=[2 ,3 ,5 ,7 ,11 ,13 ,17 ,19 ,23 ,29 ,31 ,37 ,41 ,43 ,47 ,53 ,59 ,61 ,67 ,71 ,73 ,79 ,83 ,89 ,97 ,101 ,103 ,107 ,109 ,113 ,127 ,131 ,137 ,139 ,149 ,151 ,157 ,163 ,167 ,173 ,179 ,181 ,191 ,193 ,197 ,199 ,211 ,223 ,227 ,229 ,233 ,239 ,241] n=int(input()) l1=[1 for i in range(n)] if n==2 : print("-1") exit() for i in range(n-1) : l1[i]=2*l[i+1] l1[-1]*=l[i+1] for x in l1 : print(x)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int @classmethod def from_str(cls, input_: str): n = int(input_.strip()) return cls(n) def __repr__(self): return str(self.n) + '\n'
4
O(n)
0.000007
{ "public_tests": [ { "input": "4\n", "output": "105\n70\n42\n30\n" }, { "input": "3\n", "output": "15\n10\n6\n" } ], "private_tests": [ { "input": "8\n", "output": "4849845\n3233230\n1939938\n1385670\n881790\n746130\n570570\n510510\n" }, { "input": "34\n", "output": 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355_A. Vasya and Digital Root
457
457_38
Vasya has recently found out what a digital root of a number is and he decided to share his knowledge with you. Let's assume that S(n) is the sum of digits of number n, for example, S(4098) = 4 + 0 + 9 + 8 = 21. Then the digital root of number n equals to: 1. dr(n) = S(n), if S(n) < 10; 2. dr(n) = dr( S(n) ), if S(n) ≥ 10. For example, dr(4098) = dr(21) = 3. Vasya is afraid of large numbers, so the numbers he works with are at most 101000. For all such numbers, he has proved that dr(n) = S( S( S( S(n) ) ) ) (n ≤ 101000). Now Vasya wants to quickly find numbers with the given digital root. The problem is, he hasn't learned how to do that and he asked you to help him. You task is, given numbers k and d, find the number consisting of exactly k digits (the leading zeroes are not allowed), with digital root equal to d, or else state that such number does not exist. Input The first line contains two integers k and d (1 ≤ k ≤ 1000; 0 ≤ d ≤ 9). Output In a single line print either any number that meets the requirements (without the leading zeroes) or "No solution" (without the quotes), if the corresponding number does not exist. The chosen number must consist of exactly k digits. We assume that number 0 doesn't contain any leading zeroes. Examples Input 4 4 Output 5881 Input 5 1 Output 36172 Input 1 0 Output 0 Note For the first test sample dr(5881) = dr(22) = 4. For the second test sample dr(36172) = dr(19) = dr(10) = 1.
l=input().split() k=int(l[0]) d=int(l[1]) if(k==1 and d==0): print(0) elif(k!=1 and d==0): print('No solution') else: i=1 n=d while len(str(n))!=k: n+=9**(i) i+=1 print(n)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int m: int @classmethod def from_str(cls, input_: str): n, m = input_.split('\n')[0].split(' ') n = int(n) m = int(m) return cls(n, m) def __repr__(self): return str(self.n) + ' ' + str(self.m) + '\n'
4 4
O(n**2)
0
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355_A. Vasya and Digital Root
457
457_27
Vasya has recently found out what a digital root of a number is and he decided to share his knowledge with you. Let's assume that S(n) is the sum of digits of number n, for example, S(4098) = 4 + 0 + 9 + 8 = 21. Then the digital root of number n equals to: 1. dr(n) = S(n), if S(n) < 10; 2. dr(n) = dr( S(n) ), if S(n) ≥ 10. For example, dr(4098) = dr(21) = 3. Vasya is afraid of large numbers, so the numbers he works with are at most 101000. For all such numbers, he has proved that dr(n) = S( S( S( S(n) ) ) ) (n ≤ 101000). Now Vasya wants to quickly find numbers with the given digital root. The problem is, he hasn't learned how to do that and he asked you to help him. You task is, given numbers k and d, find the number consisting of exactly k digits (the leading zeroes are not allowed), with digital root equal to d, or else state that such number does not exist. Input The first line contains two integers k and d (1 ≤ k ≤ 1000; 0 ≤ d ≤ 9). Output In a single line print either any number that meets the requirements (without the leading zeroes) or "No solution" (without the quotes), if the corresponding number does not exist. The chosen number must consist of exactly k digits. We assume that number 0 doesn't contain any leading zeroes. Examples Input 4 4 Output 5881 Input 5 1 Output 36172 Input 1 0 Output 0 Note For the first test sample dr(5881) = dr(22) = 4. For the second test sample dr(36172) = dr(19) = dr(10) = 1.
k, d = map(int, input().split(' ')) if d == 0: if k == 1: print(0) else: print('No solution') else: print(d, end = '') for i in range(k - 1): print("0", end = '')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int m: int @classmethod def from_str(cls, input_: str): n, m = input_.split('\n')[0].split(' ') n = int(n) m = int(m) return cls(n, m) def __repr__(self): return str(self.n) + ' ' + str(self.m) + '\n'
4 4
O(n)
0.000003
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672_A. Summer Camp
1467
1467_233
Every year, hundreds of people come to summer camps, they learn new algorithms and solve hard problems. This is your first year at summer camp, and you are asked to solve the following problem. All integers starting with 1 are written in one line. The prefix of these line is "123456789101112131415...". Your task is to print the n-th digit of this string (digits are numbered starting with 1. Input The only line of the input contains a single integer n (1 ≤ n ≤ 1000) — the position of the digit you need to print. Output Print the n-th digit of the line. Examples Input 3 Output 3 Input 11 Output 0 Note In the first sample the digit at position 3 is '3', as both integers 1 and 2 consist on one digit. In the second sample, the digit at position 11 is '0', it belongs to the integer 10.
n=int(input()) t='' for i in range(n+100): t+=str(i) print(t[n])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: N: int @classmethod def from_str(cls, input_: str): N = int(input_.strip()) return cls(N) def __repr__(self): return str(self.N) + '\n'
11
O(n)
0.000008
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672_A. Summer Camp
1467
1467_532
Every year, hundreds of people come to summer camps, they learn new algorithms and solve hard problems. This is your first year at summer camp, and you are asked to solve the following problem. All integers starting with 1 are written in one line. The prefix of these line is "123456789101112131415...". Your task is to print the n-th digit of this string (digits are numbered starting with 1. Input The only line of the input contains a single integer n (1 ≤ n ≤ 1000) — the position of the digit you need to print. Output Print the n-th digit of the line. Examples Input 3 Output 3 Input 11 Output 0 Note In the first sample the digit at position 3 is '3', as both integers 1 and 2 consist on one digit. In the second sample, the digit at position 11 is '0', it belongs to the integer 10.
n = int(input()) if n <= 9: print(n) elif n <= 189: num = (n - 10) / 2 + 10 mod = (n - 10) % 2 s = str(num) print(s[mod]) else: num = (n - 10 - 90 * 2) / 3 + 100 mod = (n - 10 - 90 * 2) % 3 s = str(num) print(s[mod])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: N: int @classmethod def from_str(cls, input_: str): N = int(input_.strip()) return cls(N) def __repr__(self): return str(self.N) + '\n'
11
O(1)
0.000004
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385_B. Bear and Strings
1511
1511_9
The bear has a string s = s1s2... s|s| (record |s| is the string's length), consisting of lowercase English letters. The bear wants to count the number of such pairs of indices i, j (1 ≤ i ≤ j ≤ |s|), that string x(i, j) = sisi + 1... sj contains at least one string "bear" as a substring. String x(i, j) contains string "bear", if there is such index k (i ≤ k ≤ j - 3), that sk = b, sk + 1 = e, sk + 2 = a, sk + 3 = r. Help the bear cope with the given problem. Input The first line contains a non-empty string s (1 ≤ |s| ≤ 5000). It is guaranteed that the string only consists of lowercase English letters. Output Print a single number — the answer to the problem. Examples Input bearbtear Output 6 Input bearaabearc Output 20 Note In the first sample, the following pairs (i, j) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9). In the second sample, the following pairs (i, j) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 10), (2, 11), (3, 10), (3, 11), (4, 10), (4, 11), (5, 10), (5, 11), (6, 10), (6, 11), (7, 10), (7, 11).
s=input() if len(s) < 4: print(0) else: a=0 for i in range(len(s)): d=s.find("bear", i) if d>=0: a+=len(s)-d-3 print(a)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: string: str @classmethod def from_str(cls, input_: str): string = input_.rstrip() return cls(string) def __repr__(self): return self.string + '\n'
bearaabearc
O(n**2)
0
{ "public_tests": [ { "input": "bearaabearc\n", "output": "20\n" }, { "input": "bearbtear\n", "output": "6\n" } ], "private_tests": [ { "input": "be\n", "output": "0\n" }, { "input": "bear\n", "output": "1\n" }, { "input": "pbearbearhbearzqbearjkterasjhy\n", "output": "291\n" }, { "input": "pbearjbearbebearnbabcffbearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoaftrsebearzsnqb\n", "output": "4419\n" }, { "input": "a\n", "output": "0\n" } ], "generated_tests": [ { "input": "ce\n", "output": "0\n" }, { "input": "pbearbearhbearzqbearjktdrasjhy\n", "output": "291\n" }, { "input": "pbearjbearbebfarnbabcffbearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoaftrsebearzsnqb\n", "output": "4353\n" }, { "input": "bearaabeasc\n", "output": "8\n" }, { "input": "pbearjbearbebfarnbabcfftearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoafbrsebearzsnqb\n", "output": "4285\n" }, { "input": "pbearbearhbeaq{qbearjktdrasjhy\n", "output": "261\n" }, { "input": "pbearjbeaabebfrrnbabcfftearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoafbrsebearzsnqb\n", "output": "4180\n" }, { "input": "pbearjbeaabebfrrnbabcfftearbfarwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoafbrsebearzsnqb\n", "output": "4024\n" }, { "input": "pbearjbeaabebfrrnbabcfftbarbfarwubearjezpiorrbearbearjbdlbearbearqbearjeearwipmsbearoafbrsebearzsnqb\n", "output": "3979\n" }, { "input": "paearbearhbeaq{qbearsltdqajjhy\n", "output": "253\n" }, { "input": "pbearjbebabebfrrnbbbcfftbarbfaqwubearjezpiorrbearcearjbdlbearbearqaearjeearwipmsbearoafbrsebearzsnqb\n", "output": "3877\n" }, { "input": "paearbearhbe`q{qreabsltdqajjhy\n", "output": "132\n" }, { "input": "raeb\n", "output": "0\n" }, { "input": "`\n", "output": "0\n" }, { "input": "beerbtaar\n", "output": "0\n" }, { "input": "ec\n", "output": "0\n" }, { "input": "saeb\n", "output": "0\n" }, { "input": "pbearbearhbear{qbearjktdrasjhy\n", "output": "291\n" }, { "input": "_\n", "output": "0\n" }, { "input": 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"dbabaaesesb\n", "output": "0\n" }, { "input": "bedsaatbr\n", "output": "0\n" }, { "input": "`f\n", "output": "0\n" }, { "input": "s`dc\n", "output": "0\n" }, { "input": "yhjjaqdtlsraebq{qaebhraebraeap\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraebqraebraebldbjraecraebrroipzejraebuwqafbrabtffcbabnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "X\n", "output": "0\n" }, { "input": "dbebaaasesb\n", "output": "0\n" }, { "input": "rbtaasdeb\n", "output": "0\n" }, { "input": "f`\n", "output": "0\n" }, { "input": "sadc\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraebraebldbjraecraebrroipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "W\n", "output": "0\n" }, { "input": "bsesaaabebd\n", "output": "0\n" }, { "input": "debsaatbr\n", "output": "0\n" }, { "input": "fa\n", "output": "0\n" }, { "input": "sacd\n", "output": "0\n" }, { "input": "paearbearhbe`q{qbearsltdqajjhy\n", "output": "253\n" }, { "input": "V\n", "output": "0\n" }, { "input": "bsesa`abebd\n", "output": "0\n" }, { "input": "debsa`tbr\n", "output": "0\n" }, { "input": "_f\n", "output": "0\n" }, { "input": "dcas\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraeoraebldbjraecraebrrbipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "U\n", "output": "0\n" }, { "input": "beesa`absbd\n", "output": "0\n" }, { "input": "debsa`ubr\n", "output": "0\n" }, { "input": "f_\n", "output": "0\n" }, { "input": "dcsa\n", "output": "0\n" }, { "input": "yhjjaqdtlsbaerq{q`ebhraebraeap\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraeoraebldbjraecraecrrbipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "T\n", "output": "0\n" }, { "input": "beasa`ebsbd\n", "output": "0\n" }, { "input": "debs``ubr\n", "output": "0\n" }, { "input": "_e\n", "output": "0\n" }, { "input": "dcta\n", "output": "0\n" }, { "input": "zhjjaqdtlsbaerq{q`ebhraebraeap\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraeorbebldbjraecraecrrbipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "S\n", "output": "0\n" }, { "input": "dbsbe`asaeb\n", "output": "0\n" }, { "input": "rbu``sbed\n", "output": "0\n" }, { "input": "e_\n", "output": "0\n" }, { "input": "atcd\n", "output": "0\n" } ] }
[ 0.00004990831701116254, 0.00004671612324675571, 0.00004217574229180291, 0.000041984313116514274, 0.000011462927084499968, 7.550782987154286e-8, 5.3915988311372204e-8, 5.343402673123192e-8, 5.2016733514734166e-8, 5.1905104990395134e-8, 5.187531659707348e-8, 5.185815234809896e-8, 5.184032330942587e-8, 5.183635133140671e-8, 5.181783407553815e-8, 5.180698573723204e-8, 5.1746381361611095e-8, 5.130695150627031e-8, 5.128441263318354e-8, 5.11864842461599e-8, 5.101430333775943e-8, 5.0909465063658e-8, 5.071755105042055e-8, 5.061606137421109e-8, 5.023497521484018e-8, 4.5527943521501113e-8, 4.5471227994600844e-8, 4.544240059813467e-8, 4.5395096603852794e-8, 4.538629688978291e-8, 7.727840933392092e-9 ]
385_B. Bear and Strings
1511
1511_65
The bear has a string s = s1s2... s|s| (record |s| is the string's length), consisting of lowercase English letters. The bear wants to count the number of such pairs of indices i, j (1 ≤ i ≤ j ≤ |s|), that string x(i, j) = sisi + 1... sj contains at least one string "bear" as a substring. String x(i, j) contains string "bear", if there is such index k (i ≤ k ≤ j - 3), that sk = b, sk + 1 = e, sk + 2 = a, sk + 3 = r. Help the bear cope with the given problem. Input The first line contains a non-empty string s (1 ≤ |s| ≤ 5000). It is guaranteed that the string only consists of lowercase English letters. Output Print a single number — the answer to the problem. Examples Input bearbtear Output 6 Input bearaabearc Output 20 Note In the first sample, the following pairs (i, j) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9). In the second sample, the following pairs (i, j) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 10), (2, 11), (3, 10), (3, 11), (4, 10), (4, 11), (5, 10), (5, 11), (6, 10), (6, 11), (7, 10), (7, 11).
def f(s): n = len(s) c = 0 ll = 0 for i in range(n-3): if s[i:i+4] == 'bear': l = i-ll+1 r = n-i-3 c += l*r ll = i+1 return c s = input() print(f(s))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: string: str @classmethod def from_str(cls, input_: str): string = input_.rstrip() return cls(string) def __repr__(self): return self.string + '\n'
bearaabearc
O(n)
0.000008
{ "public_tests": [ { "input": "bearaabearc\n", "output": "20\n" }, { "input": "bearbtear\n", "output": "6\n" } ], "private_tests": [ { "input": "be\n", "output": "0\n" }, { "input": "bear\n", "output": "1\n" }, { "input": "pbearbearhbearzqbearjkterasjhy\n", "output": "291\n" }, { "input": "pbearjbearbebearnbabcffbearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoaftrsebearzsnqb\n", "output": "4419\n" }, { "input": "a\n", "output": "0\n" } ], "generated_tests": [ { "input": "ce\n", "output": "0\n" }, { "input": "pbearbearhbearzqbearjktdrasjhy\n", "output": "291\n" }, { "input": "pbearjbearbebfarnbabcffbearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoaftrsebearzsnqb\n", "output": "4353\n" }, { "input": "bearaabeasc\n", "output": "8\n" }, { "input": "pbearjbearbebfarnbabcfftearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoafbrsebearzsnqb\n", "output": "4285\n" }, { "input": "pbearbearhbeaq{qbearjktdrasjhy\n", "output": "261\n" }, { "input": "pbearjbeaabebfrrnbabcfftearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoafbrsebearzsnqb\n", "output": "4180\n" }, { "input": "pbearjbeaabebfrrnbabcfftearbfarwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoafbrsebearzsnqb\n", "output": "4024\n" }, { "input": "pbearjbeaabebfrrnbabcfftbarbfarwubearjezpiorrbearbearjbdlbearbearqbearjeearwipmsbearoafbrsebearzsnqb\n", "output": "3979\n" }, { "input": "paearbearhbeaq{qbearsltdqajjhy\n", "output": "253\n" }, { "input": "pbearjbebabebfrrnbbbcfftbarbfaqwubearjezpiorrbearcearjbdlbearbearqaearjeearwipmsbearoafbrsebearzsnqb\n", "output": "3877\n" }, { "input": "paearbearhbe`q{qreabsltdqajjhy\n", "output": "132\n" }, { "input": "raeb\n", "output": "0\n" }, { "input": "`\n", "output": "0\n" }, { "input": "beerbtaar\n", "output": "0\n" }, { "input": "ec\n", "output": "0\n" }, { "input": "saeb\n", "output": "0\n" }, { "input": "pbearbearhbear{qbearjktdrasjhy\n", "output": "291\n" }, { "input": "_\n", "output": "0\n" }, { "input": "cearaabeasb\n", "output": "0\n" }, { "input": "raatbreeb\n", "output": "0\n" }, { "input": "eb\n", "output": "0\n" }, { "input": "sadb\n", "output": "0\n" }, { "input": "^\n", "output": "0\n" }, { "input": "cearaaebasb\n", "output": "0\n" }, { "input": "beesbtaar\n", "output": "0\n" }, { "input": "fb\n", "output": "0\n" }, { "input": "tadb\n", "output": "0\n" }, { "input": "yhjsardtkjraebq{qaebhraebraebp\n", "output": "0\n" }, { "input": "]\n", "output": "0\n" }, { "input": "cearaaebbsb\n", "output": "0\n" }, { "input": "raatbseeb\n", "output": "0\n" }, { "input": "gb\n", "output": "0\n" }, { "input": "tadc\n", "output": "0\n" }, { "input": "yhjsardtljraebq{qaebhraebraebp\n", "output": "0\n" }, { "input": "\\\n", "output": "0\n" }, { "input": "ceabaaerbsb\n", "output": "0\n" }, { "input": "aeesbtabr\n", "output": "0\n" }, { "input": "bg\n", "output": "0\n" }, { "input": "cdat\n", "output": "0\n" }, { "input": "yhjjardtlsraebq{qaebhraebraebp\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraebqraebraebldbjraebraebrroipzejraebuwrafbrabtffcbabnrrfbebaaebjraebp\n", "output": "0\n" }, { "input": "[\n", "output": "0\n" }, { "input": "ceabaaesbsb\n", "output": "0\n" }, { "input": "aedsbtabr\n", "output": "0\n" }, { "input": "ag\n", "output": "0\n" }, { "input": "cd`t\n", "output": "0\n" }, { "input": "pbearbearhbeaq{qbearsltdrajjhy\n", "output": "261\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraebqraebraebldbjraebraebrroipzejraebuwqafbrabtffcbabnrrfbebaaebjraebp\n", "output": "0\n" }, { "input": "Z\n", "output": "0\n" }, { "input": "cbabaaesesb\n", "output": "0\n" }, { "input": "bedsatabr\n", "output": "0\n" }, { "input": "`g\n", "output": "0\n" }, { "input": "t`dc\n", "output": "0\n" }, { "input": "yhjjaqdtlsraebq{qaebhraebraebp\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraebqraebraebldbjraecraebrroipzejraebuwqafbrabtffcbabnrrfbebaaebjraebp\n", "output": "0\n" }, { "input": "Y\n", "output": "0\n" }, { "input": "dbabaaesesb\n", "output": "0\n" }, { "input": "bedsaatbr\n", "output": "0\n" }, { "input": "`f\n", "output": "0\n" }, { "input": "s`dc\n", "output": "0\n" }, { "input": "yhjjaqdtlsraebq{qaebhraebraeap\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraebqraebraebldbjraecraebrroipzejraebuwqafbrabtffcbabnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "X\n", "output": "0\n" }, { "input": "dbebaaasesb\n", "output": "0\n" }, { "input": "rbtaasdeb\n", "output": "0\n" }, { "input": "f`\n", "output": "0\n" }, { "input": "sadc\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraebraebldbjraecraebrroipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "W\n", "output": "0\n" }, { "input": "bsesaaabebd\n", "output": "0\n" }, { "input": "debsaatbr\n", "output": "0\n" }, { "input": "fa\n", "output": "0\n" }, { "input": "sacd\n", "output": "0\n" }, { "input": "paearbearhbe`q{qbearsltdqajjhy\n", "output": "253\n" }, { "input": "V\n", "output": "0\n" }, { "input": "bsesa`abebd\n", "output": "0\n" }, { "input": "debsa`tbr\n", "output": "0\n" }, { "input": "_f\n", "output": "0\n" }, { "input": "dcas\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraeoraebldbjraecraebrrbipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "U\n", "output": "0\n" }, { "input": "beesa`absbd\n", "output": "0\n" }, { "input": "debsa`ubr\n", "output": "0\n" }, { "input": "f_\n", "output": "0\n" }, { "input": "dcsa\n", "output": "0\n" }, { "input": "yhjjaqdtlsbaerq{q`ebhraebraeap\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraeoraebldbjraecraecrrbipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "T\n", "output": "0\n" }, { "input": "beasa`ebsbd\n", "output": "0\n" }, { "input": "debs``ubr\n", "output": "0\n" }, { "input": "_e\n", "output": "0\n" }, { "input": "dcta\n", "output": "0\n" }, { "input": "zhjjaqdtlsbaerq{q`ebhraebraeap\n", "output": "0\n" }, { "input": "bqnszraebesrbfaoraebsmpiwraeejraeaqraeorbebldbjraecraecrrbipzejraebuwqafbrabtffcbbbnrrfbebabebjraebp\n", "output": "0\n" }, { "input": "S\n", "output": "0\n" }, { "input": "dbsbe`asaeb\n", "output": "0\n" }, { "input": "rbu``sbed\n", "output": "0\n" }, { "input": "e_\n", "output": "0\n" }, { "input": "atcd\n", "output": "0\n" } ] }
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59_B. Fortune Telling
384
384_34
Marina loves Sasha. But she keeps wondering whether Sasha loves her. Of course, the best way to know it is fortune telling. There are many ways of telling fortune, but Marina has picked the easiest one. She takes in her hand one or several camomiles and tears off the petals one by one. After each petal she pronounces alternatively "Loves" and "Doesn't love", at that Marina always starts with "Loves". There are n camomiles growing in the field, possessing the numbers of petals equal to a1, a2, ... an. Marina wants to pick a bouquet with the maximal possible total number of petals so that the result would still be "Loves". Help her do that; find the maximal number of petals possible in the bouquet. Input The first line contains an integer n (1 ≤ n ≤ 100), which is the number of flowers growing in the field. The second line contains n integers ai (1 ≤ ai ≤ 100) which represent the number of petals on a given i-th camomile. Output Print a single number which is the maximal number of petals in the bouquet, the fortune telling on which would result in "Loves". If there are no such bouquet, print 0 instead. The bouquet may consist of a single flower. Examples Input 1 1 Output 1 Input 1 2 Output 0 Input 3 5 6 7 Output 13
f = int(input()) petals = list(map(int,input().split())) #print(f'suma: {sum(petals)}') while True: if sum(petals)%2 == 1: print(sum(petals)) break else: try: m = min(i for i in petals if i%2) except: m = min(petals) #print(f'removed: {m} ') petals.remove(m) #print(sum(petals)) #print(petals) if petals == []: print(0) break
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: v_0: int v_1: List[int] @classmethod def from_str(cls, input_: str): v_0, v_1, _ = input_.split('\n') v_0 = int(v_0) v_1 = [int(x) for x in v_1.split(' ')] return cls(v_0, v_1) def __repr__(self): return str(self.v_0) + '\n' + ' '.join([str(x) for x in self.v_1]) + '\n'
3 5 6 7
O(n**2)
0
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[ 0.0000017913326458697555, 1.3388056373050804e-7, 7.303697817125517e-8, 5.09150893456265e-8, 4.854985888271668e-8, 4.839174362901866e-8, 4.832112268825582e-8, 4.8105491842649096e-8, 2.565875501790101e-8, 8.406946605553238e-10 ]
59_B. Fortune Telling
384
384_38
Marina loves Sasha. But she keeps wondering whether Sasha loves her. Of course, the best way to know it is fortune telling. There are many ways of telling fortune, but Marina has picked the easiest one. She takes in her hand one or several camomiles and tears off the petals one by one. After each petal she pronounces alternatively "Loves" and "Doesn't love", at that Marina always starts with "Loves". There are n camomiles growing in the field, possessing the numbers of petals equal to a1, a2, ... an. Marina wants to pick a bouquet with the maximal possible total number of petals so that the result would still be "Loves". Help her do that; find the maximal number of petals possible in the bouquet. Input The first line contains an integer n (1 ≤ n ≤ 100), which is the number of flowers growing in the field. The second line contains n integers ai (1 ≤ ai ≤ 100) which represent the number of petals on a given i-th camomile. Output Print a single number which is the maximal number of petals in the bouquet, the fortune telling on which would result in "Loves". If there are no such bouquet, print 0 instead. The bouquet may consist of a single flower. Examples Input 1 1 Output 1 Input 1 2 Output 0 Input 3 5 6 7 Output 13
n = int(input()) input_list = list(map(int,input().split())) input_list.sort() x = sum(input_list) if(x%2 ==1): print(x) else: for i in range(n): if(input_list[i]%2 == 1): print(x-input_list[i]) break else: print(0)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: v_0: int v_1: List[int] @classmethod def from_str(cls, input_: str): v_0, v_1, _ = input_.split('\n') v_0 = int(v_0) v_1 = [int(x) for x in v_1.split(' ')] return cls(v_0, v_1) def __repr__(self): return str(self.v_0) + '\n' + ' '.join([str(x) for x in self.v_1]) + '\n'
3 5 6 7
O(nlogn)
0.000008
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1077_A. Frog Jumping
2124
2124_138
A frog is currently at the point 0 on a coordinate axis Ox. It jumps by the following algorithm: the first jump is a units to the right, the second jump is b units to the left, the third jump is a units to the right, the fourth jump is b units to the left, and so on. Formally: * if the frog has jumped an even number of times (before the current jump), it jumps from its current position x to position x+a; * otherwise it jumps from its current position x to position x-b. Your task is to calculate the position of the frog after k jumps. But... One more thing. You are watching t different frogs so you have to answer t independent queries. Input The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of queries. Each of the next t lines contain queries (one query per line). The query is described as three space-separated integers a, b, k (1 ≤ a, b, k ≤ 10^9) — the lengths of two types of jumps and the number of jumps, respectively. Output Print t integers. The i-th integer should be the answer for the i-th query. Example Input 6 5 2 3 100 1 4 1 10 5 1000000000 1 6 1 1 1000000000 1 1 999999999 Output 8 198 -17 2999999997 0 1 Note In the first query frog jumps 5 to the right, 2 to the left and 5 to the right so the answer is 5 - 2 + 5 = 8. In the second query frog jumps 100 to the right, 1 to the left, 100 to the right and 1 to the left so the answer is 100 - 1 + 100 - 1 = 198. In the third query the answer is 1 - 10 + 1 - 10 + 1 = -17. In the fourth query the answer is 10^9 - 1 + 10^9 - 1 + 10^9 - 1 = 2999999997. In the fifth query all frog's jumps are neutralized by each other so the answer is 0. The sixth query is the same as the fifth but without the last jump so the answer is 1.
t = int(input()) all_data = [] for i in range(t): data = [int(i) for i in input().split(" ")] all_data.append(data) for i in all_data: right = i[0] left = i[1] k = i[2] jump = right-left if k % 2 == 0: print(jump*(k//2)) else: print(jump*(k//2)+right)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int queries: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) queries = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(queries) == n return cls(n, queries) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join(map(str, query)) for query in self.queries]) + '\n'
6 5 2 3 100 1 4 1 10 5 1000000000 1 6 1 1 1000000000 1 1 999999999
O(n*m)
0.000008
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1077_A. Frog Jumping
2124
2124_2
A frog is currently at the point 0 on a coordinate axis Ox. It jumps by the following algorithm: the first jump is a units to the right, the second jump is b units to the left, the third jump is a units to the right, the fourth jump is b units to the left, and so on. Formally: * if the frog has jumped an even number of times (before the current jump), it jumps from its current position x to position x+a; * otherwise it jumps from its current position x to position x-b. Your task is to calculate the position of the frog after k jumps. But... One more thing. You are watching t different frogs so you have to answer t independent queries. Input The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of queries. Each of the next t lines contain queries (one query per line). The query is described as three space-separated integers a, b, k (1 ≤ a, b, k ≤ 10^9) — the lengths of two types of jumps and the number of jumps, respectively. Output Print t integers. The i-th integer should be the answer for the i-th query. Example Input 6 5 2 3 100 1 4 1 10 5 1000000000 1 6 1 1 1000000000 1 1 999999999 Output 8 198 -17 2999999997 0 1 Note In the first query frog jumps 5 to the right, 2 to the left and 5 to the right so the answer is 5 - 2 + 5 = 8. In the second query frog jumps 100 to the right, 1 to the left, 100 to the right and 1 to the left so the answer is 100 - 1 + 100 - 1 = 198. In the third query the answer is 1 - 10 + 1 - 10 + 1 = -17. In the fourth query the answer is 10^9 - 1 + 10^9 - 1 + 10^9 - 1 = 2999999997. In the fifth query all frog's jumps are neutralized by each other so the answer is 0. The sixth query is the same as the fifth but without the last jump so the answer is 1.
t = int(input()) answer = [] for i in range(t): a, b, k = map(int, input().split()) if k % 2 == 1: answer.append(k // 2 * (a - b) + a) else: answer.append(k // 2 * (a - b)) for i in range(t): print(answer[i])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int queries: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) queries = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(queries) == n return cls(n, queries) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join(map(str, query)) for query in self.queries]) + '\n'
6 5 2 3 100 1 4 1 10 5 1000000000 1 6 1 1 1000000000 1 1 999999999
O(n)
0
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1005_C. Summarize to the Power of Two
788
788_22
A sequence a_1, a_2, ..., a_n is called good if, for each element a_i, there exists an element a_j (i ≠ j) such that a_i+a_j is a power of two (that is, 2^d for some non-negative integer d). For example, the following sequences are good: * [5, 3, 11] (for example, for a_1=5 we can choose a_2=3. Note that their sum is a power of two. Similarly, such an element can be found for a_2 and a_3), * [1, 1, 1, 1023], * [7, 39, 89, 25, 89], * []. Note that, by definition, an empty sequence (with a length of 0) is good. For example, the following sequences are not good: * [16] (for a_1=16, it is impossible to find another element a_j such that their sum is a power of two), * [4, 16] (for a_1=4, it is impossible to find another element a_j such that their sum is a power of two), * [1, 3, 2, 8, 8, 8] (for a_3=2, it is impossible to find another element a_j such that their sum is a power of two). You are given a sequence a_1, a_2, ..., a_n. What is the minimum number of elements you need to remove to make it good? You can delete an arbitrary set of elements. Input The first line contains the integer n (1 ≤ n ≤ 120000) — the length of the given sequence. The second line contains the sequence of integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9). Output Print the minimum number of elements needed to be removed from the given sequence in order to make it good. It is possible that you need to delete all n elements, make it empty, and thus get a good sequence. Examples Input 6 4 7 1 5 4 9 Output 1 Input 5 1 2 3 4 5 Output 2 Input 1 16 Output 1 Input 4 1 1 1 1023 Output 0 Note In the first example, it is enough to delete one element a_4=5. The remaining elements form the sequence [4, 7, 1, 4, 9], which is good.
import math from collections import defaultdict getInputList = lambda : list(input().split()) getInputIntList = lambda : list(map(int,input().split())) n = input() arr = getInputIntList() myset = defaultdict(lambda:0) for i in arr: myset[i] += 1 nset = set([]) for i in arr: cb = '1'+'0'*(len(bin(i))-3) if bin(i) == '0b'+cb : if myset[i] > 1: nset.add(i) elif int(cb+'0',2)-i in myset : #print(i,int(cb+'0',2)-i) nset.add(i) nset.add(int(cb+'0',2)-i) count = 0 for i in arr: if i not in nset: count += 1 print(count)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
6 4 7 1 5 4 9
O(n)
0.000025
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1005_C. Summarize to the Power of Two
788
788_76
A sequence a_1, a_2, ..., a_n is called good if, for each element a_i, there exists an element a_j (i ≠ j) such that a_i+a_j is a power of two (that is, 2^d for some non-negative integer d). For example, the following sequences are good: * [5, 3, 11] (for example, for a_1=5 we can choose a_2=3. Note that their sum is a power of two. Similarly, such an element can be found for a_2 and a_3), * [1, 1, 1, 1023], * [7, 39, 89, 25, 89], * []. Note that, by definition, an empty sequence (with a length of 0) is good. For example, the following sequences are not good: * [16] (for a_1=16, it is impossible to find another element a_j such that their sum is a power of two), * [4, 16] (for a_1=4, it is impossible to find another element a_j such that their sum is a power of two), * [1, 3, 2, 8, 8, 8] (for a_3=2, it is impossible to find another element a_j such that their sum is a power of two). You are given a sequence a_1, a_2, ..., a_n. What is the minimum number of elements you need to remove to make it good? You can delete an arbitrary set of elements. Input The first line contains the integer n (1 ≤ n ≤ 120000) — the length of the given sequence. The second line contains the sequence of integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9). Output Print the minimum number of elements needed to be removed from the given sequence in order to make it good. It is possible that you need to delete all n elements, make it empty, and thus get a good sequence. Examples Input 6 4 7 1 5 4 9 Output 1 Input 5 1 2 3 4 5 Output 2 Input 1 16 Output 1 Input 4 1 1 1 1023 Output 0 Note In the first example, it is enough to delete one element a_4=5. The remaining elements form the sequence [4, 7, 1, 4, 9], which is good.
n = int(input()) l = [int(x) for x in input().split()] l.sort() if n == 0: print (0) elif n == 1: print(1) else: Dict = {} for x in l: try: Dict[x] += 1 except KeyError: Dict[x] = 1 cnt, book =0, {} for x in l: if book.__contains__(x) : continue flag = False t = 1 << 30 while t >= 1: if t <= x: break if 2 * x == t and Dict[x] == 1: t >>= 1 continue if Dict.__contains__(t - x): flag , book[x], book[t-x] = True, True, True break t >>= 1 if not flag: cnt += 1 print(cnt)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
6 4 7 1 5 4 9
O(nlogn)
0.000223
{ "public_tests": [ { "input": "6\n4 7 1 5 4 9\n", "output": "1" }, { "input": "5\n1 2 3 4 5\n", "output": "2" }, { "input": "1\n16\n", "output": "1" }, { "input": "4\n1 1 1 1023\n", "output": "0" } ], "private_tests": [ { "input": "3\n1 2 3\n", "output": "1" }, { "input": "3\n1 3 3\n", "output": "0" }, { "input": "2\n2 2\n", "output": "0" }, { "input": "2\n3 3\n", "output": "2" }, { "input": "1\n1\n", "output": "1" }, { "input": "2\n1 6\n", "output": "2" }, { "input": "3\n1 3 2\n", "output": "1" }, { "input": "3\n1 2 2\n", "output": "1" }, { "input": "6\n1 7 7 7 7 7\n", "output": "0" }, { "input": "2\n3 1\n", "output": "0" }, { "input": "3\n1 1 3\n", "output": "0" }, { "input": "3\n1 1 2\n", "output": "1" }, { "input": "2\n2 1\n", "output": "2" }, { "input": "10\n2 10 9 1 10 4 7 8 5 4\n", "output": "5" }, { "input": "2\n1 1\n", "output": "0" } ], "generated_tests": [ { "input": "3\n1 2 4\n", "output": "3\n" }, { "input": "3\n1 3 6\n", "output": "1\n" }, { "input": "2\n4 2\n", "output": "2\n" }, { "input": "2\n3 5\n", "output": "0\n" }, { "input": "10\n2 10 9 1 10 4 5 8 5 4\n", "output": "8\n" }, { "input": "10\n3 10 9 1 10 8 5 8 5 4\n", "output": "4\n" }, { "input": "10\n3 10 9 1 10 8 5 16 5 2\n", "output": "6\n" }, { "input": "1\n2\n", "output": "1\n" }, { "input": "2\n1 9\n", "output": "2\n" }, { "input": "6\n1 7 9 7 7 7\n", "output": "0\n" }, { "input": "3\n1 1 6\n", "output": "1\n" }, { "input": "3\n2 2 2\n", "output": "0\n" }, { "input": "6\n6 7 1 5 4 9\n", "output": "3\n" }, { "input": "5\n2 2 3 4 5\n", "output": "1\n" }, { "input": "1\n31\n", "output": "1\n" }, { "input": "4\n1 2 1 1023\n", "output": "1\n" }, { "input": "3\n2 2 4\n", "output": "1\n" }, { "input": "2\n4 1\n", "output": "2\n" }, { "input": "2\n2 5\n", "output": "2\n" }, { "input": "2\n2 9\n", "output": "2\n" }, { "input": "3\n2 1 2\n", "output": "1\n" }, { "input": "10\n2 10 9 1 10 8 5 8 5 4\n", "output": "8\n" }, { "input": "6\n6 7 1 5 5 9\n", "output": "3\n" }, { "input": "1\n47\n", "output": "1\n" }, { "input": "4\n2 2 1 1023\n", "output": "0\n" }, { "input": "3\n1 2 8\n", "output": "3\n" }, { "input": "2\n1 2\n", "output": "2\n" }, { "input": "2\n3 10\n", "output": "2\n" }, { "input": "2\n2 15\n", "output": "2\n" }, { "input": "3\n2 1 4\n", "output": "3\n" }, { "input": "6\n6 7 1 5 4 1\n", "output": "3\n" }, { "input": "1\n81\n", "output": "1\n" }, { "input": "3\n2 2 8\n", "output": "1\n" }, { "input": "2\n5 10\n", "output": "2\n" }, { "input": "2\n3 15\n", "output": "2\n" }, { "input": "10\n3 10 9 1 10 8 5 8 5 2\n", "output": "4\n" }, { "input": "6\n6 7 1 5 8 1\n", "output": "3\n" }, { "input": "1\n76\n", "output": "1\n" }, { "input": "3\n1 3 8\n", "output": "1\n" }, { "input": "2\n5 13\n", "output": "2\n" }, { "input": "2\n3 19\n", "output": "2\n" }, { "input": "6\n1 7 1 5 8 1\n", "output": "2\n" }, { "input": "1\n61\n", "output": "1\n" }, { "input": "2\n7 13\n", "output": "2\n" }, { "input": "2\n6 19\n", "output": "2\n" }, { "input": "10\n3 10 14 1 10 8 5 16 5 2\n", "output": "4\n" }, { "input": "6\n1 7 1 5 12 1\n", "output": "2\n" }, { "input": "1\n5\n", "output": "1\n" }, { "input": "2\n4 13\n", "output": "2\n" }, { "input": "2\n6 25\n", "output": "2\n" }, { "input": "10\n3 10 14 1 10 12 5 16 5 2\n", "output": "4\n" }, { "input": "6\n1 12 1 5 12 1\n", "output": "3\n" }, { "input": "1\n4\n", "output": "1\n" }, { "input": "2\n6 1\n", "output": "2\n" }, { "input": "2\n9 25\n", "output": "2\n" }, { "input": "6\n1 12 1 5 17 1\n", "output": "3\n" }, { "input": "1\n6\n", "output": "1\n" }, { "input": "2\n5 1\n", "output": "2\n" }, { "input": "2\n11 25\n", "output": "2\n" }, { "input": "6\n1 12 1 5 10 1\n", "output": "3\n" }, { "input": "2\n7 1\n", "output": "0\n" }, { "input": "2\n1 25\n", "output": "2\n" }, { "input": "6\n1 18 1 5 10 1\n", "output": "3\n" }, { "input": "2\n7 2\n", "output": "2\n" }, { "input": "2\n1 12\n", "output": "2\n" }, { "input": "6\n2 18 1 5 10 1\n", "output": "4\n" }, { "input": "2\n10 2\n", "output": "2\n" }, { "input": "2\n1 5\n", "output": "2\n" }, { "input": "6\n2 18 2 5 10 1\n", "output": "4\n" }, { "input": "2\n10 1\n", "output": "2\n" }, { "input": "2\n1 4\n", "output": "2\n" }, { "input": "3\n1 2 5\n", "output": "3\n" }, { "input": "2\n2 4\n", "output": "2\n" }, { "input": "2\n2 6\n", "output": "0\n" }, { "input": "3\n1 3 1\n", "output": "0\n" }, { "input": "3\n2 3 2\n", "output": "1\n" }, { "input": "6\n1 7 7 7 7 13\n", "output": "1\n" }, { "input": "2\n3 2\n", "output": "2\n" }, { "input": "3\n2 2 5\n", "output": "1\n" }, { "input": "10\n2 10 9 1 10 4 7 8 5 1\n", "output": "6\n" }, { "input": "6\n4 7 1 4 4 9\n", "output": "0\n" }, { "input": "5\n1 2 3 3 5\n", "output": "1\n" } ] }
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854_A. Fraction
1739
1739_170
Petya is a big fan of mathematics, especially its part related to fractions. Recently he learned that a fraction <image> is called proper iff its numerator is smaller than its denominator (a < b) and that the fraction is called irreducible if its numerator and its denominator are coprime (they do not have positive common divisors except 1). During his free time, Petya thinks about proper irreducible fractions and converts them to decimals using the calculator. One day he mistakenly pressed addition button ( + ) instead of division button (÷) and got sum of numerator and denominator that was equal to n instead of the expected decimal notation. Petya wanted to restore the original fraction, but soon he realized that it might not be done uniquely. That's why he decided to determine maximum possible proper irreducible fraction <image> such that sum of its numerator and denominator equals n. Help Petya deal with this problem. Input In the only line of input there is an integer n (3 ≤ n ≤ 1000), the sum of numerator and denominator of the fraction. Output Output two space-separated positive integers a and b, numerator and denominator of the maximum possible proper irreducible fraction satisfying the given sum. Examples Input 3 Output 1 2 Input 4 Output 1 3 Input 12 Output 5 7
import math n=int(input()) if (n%2)!=0: a=1 while a < math.floor(n/2): a+=1 b=n-a print(f"{a} {b}") else: a=1 while a < math.floor(n/2)-1: a+=1 b=n-a if a%2==0 and b%2==0: a=a-1 b=b+1 print(f"{a} {b}")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: number: int @classmethod def from_str(cls, input_: str): number = int(input_.strip()) return cls(number) def __repr__(self): return str(self.number) + '\n'
12
O(n)
0.000004
{ "public_tests": [ { "input": "12\n", "output": "5 7\n" }, { "input": "4\n", "output": "1 3\n" }, { "input": "3\n", "output": "1 2\n" } ], "private_tests": [ { "input": "998\n", "output": "497 501\n" }, { "input": "69\n", "output": "34 35\n" }, { "input": "9\n", "output": "4 5\n" }, { "input": "1000\n", "output": "499 501\n" }, { "input": "5\n", "output": "2 3\n" }, { "input": "10\n", "output": "3 7\n" }, { "input": "8\n", "output": "3 5\n" }, { "input": "994\n", "output": "495 499\n" }, { "input": "100\n", "output": "49 51\n" }, { "input": "423\n", "output": "211 212\n" }, { "input": "999\n", "output": "499 500\n" }, { "input": "997\n", "output": "498 499\n" }, { "input": "57\n", "output": "28 29\n" }, { "input": "34\n", "output": "15 19\n" }, { "input": "13\n", "output": "6 7\n" }, { "input": "6\n", "output": "1 5\n" }, { "input": "876\n", "output": "437 439\n" }, { "input": "995\n", "output": "497 498\n" }, { "input": "29\n", "output": "14 15\n" }, { "input": "24\n", "output": "11 13\n" }, { "input": "11\n", "output": "5 6\n" }, { "input": "996\n", "output": "497 499\n" }, { "input": "17\n", "output": "8 9\n" } ], "generated_tests": [ { "input": "1120\n", "output": "559 561\n" }, { "input": "16\n", "output": "7 9\n" }, { "input": "1010\n", "output": "503 507\n" }, { "input": "7\n", "output": "3 4\n" }, { "input": "1200\n", "output": "599 601\n" }, { "input": "110\n", "output": "53 57\n" }, { "input": "685\n", "output": "342 343\n" }, { "input": "359\n", "output": "179 180\n" }, { "input": "1764\n", "output": "881 883\n" }, { "input": "52\n", "output": "25 27\n" }, { "input": "26\n", "output": "11 15\n" }, { "input": "1729\n", "output": "864 865\n" }, { "input": "109\n", "output": "54 55\n" }, { "input": "47\n", "output": "23 24\n" }, { "input": "28\n", "output": "13 15\n" }, { "input": "524\n", "output": "261 263\n" }, { "input": "27\n", "output": "13 14\n" }, { "input": "22\n", "output": "9 13\n" }, { "input": "19\n", "output": "9 10\n" }, { "input": "744\n", "output": "371 373\n" }, { "input": "14\n", "output": "5 9\n" }, { "input": "1041\n", "output": "520 521\n" }, { "input": "597\n", "output": "298 299\n" }, { "input": "345\n", "output": "172 173\n" }, { "input": "66\n", "output": "31 35\n" }, { "input": "51\n", "output": "25 26\n" }, { "input": "977\n", "output": "488 489\n" }, { "input": "20\n", "output": "9 11\n" }, { "input": "39\n", "output": "19 20\n" }, { "input": "660\n", "output": "329 331\n" }, { "input": "33\n", "output": "16 17\n" }, { "input": "406\n", "output": "201 205\n" }, { "input": "23\n", "output": "11 12\n" }, { "input": "1285\n", "output": "642 643\n" }, { "input": "297\n", "output": "148 149\n" }, { "input": "258\n", "output": "127 131\n" }, { "input": "102\n", "output": "49 53\n" }, { "input": "62\n", "output": "29 33\n" }, { "input": "48\n", "output": "23 25\n" }, { "input": "21\n", "output": "10 11\n" }, { "input": "32\n", "output": "15 17\n" }, { "input": "201\n", "output": "100 101\n" }, { "input": "18\n", "output": "7 11\n" }, { "input": "208\n", "output": "103 105\n" }, { "input": "38\n", "output": "17 21\n" }, { "input": "1962\n", "output": "979 983\n" }, { "input": "473\n", "output": "236 237\n" }, { "input": "357\n", "output": "178 179\n" }, { "input": "112\n", "output": "55 57\n" }, { "input": "31\n", "output": "15 16\n" }, { "input": "42\n", "output": "19 23\n" }, { "input": "58\n", "output": "27 31\n" }, { "input": "331\n", "output": "165 166\n" }, { "input": "215\n", "output": "107 108\n" }, { "input": "63\n", "output": "31 32\n" }, { "input": "396\n", "output": "197 199\n" }, { "input": "495\n", "output": "247 248\n" }, { "input": "121\n", "output": "60 61\n" }, { "input": "25\n", "output": "12 13\n" }, { "input": "36\n", "output": "17 19\n" }, { "input": "101\n", "output": "50 51\n" }, { "input": "129\n", "output": "64 65\n" }, { "input": "67\n", "output": "33 34\n" }, { "input": "35\n", "output": "17 18\n" }, { "input": "169\n", "output": "84 85\n" }, { "input": "383\n", "output": "191 192\n" }, { "input": "237\n", "output": "118 119\n" }, { "input": "56\n", "output": "27 29\n" }, { "input": "111\n", "output": "55 56\n" }, { "input": "46\n", "output": "21 25\n" }, { "input": "83\n", "output": "41 42\n" }, { "input": "30\n", "output": "13 17\n" }, { "input": "133\n", "output": "66 67\n" }, { "input": "446\n", "output": "221 225\n" }, { "input": "68\n", "output": "33 35\n" }, { "input": "55\n", "output": "27 28\n" }, { "input": "40\n", "output": "19 21\n" }, { "input": "123\n", "output": "61 62\n" }, { "input": "94\n", "output": "45 49\n" }, { "input": "463\n", "output": "231 232\n" }, { "input": "120\n", "output": "59 61\n" }, { "input": "85\n", "output": "42 43\n" }, { "input": "50\n", "output": "23 27\n" }, { "input": "151\n", "output": "75 76\n" }, { "input": "170\n", "output": "83 87\n" }, { "input": "834\n", "output": "415 419\n" }, { "input": "216\n", "output": "107 109\n" }, { "input": "174\n", "output": "85 89\n" }, { "input": "53\n", "output": "26 27\n" }, { "input": "281\n", "output": "140 141\n" }, { "input": "45\n", "output": "22 23\n" }, { "input": "773\n", "output": "386 387\n" }, { "input": "234\n", "output": "115 119\n" }, { "input": "272\n", "output": "135 137\n" }, { "input": "15\n", "output": "7 8\n" }, { "input": "78\n", "output": "37 41\n" }, { "input": "1402\n", "output": "699 703\n" }, { "input": "302\n", "output": "149 153\n" }, { "input": "149\n", "output": "74 75\n" } ] }
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854_A. Fraction
1739
1739_447
Petya is a big fan of mathematics, especially its part related to fractions. Recently he learned that a fraction <image> is called proper iff its numerator is smaller than its denominator (a < b) and that the fraction is called irreducible if its numerator and its denominator are coprime (they do not have positive common divisors except 1). During his free time, Petya thinks about proper irreducible fractions and converts them to decimals using the calculator. One day he mistakenly pressed addition button ( + ) instead of division button (÷) and got sum of numerator and denominator that was equal to n instead of the expected decimal notation. Petya wanted to restore the original fraction, but soon he realized that it might not be done uniquely. That's why he decided to determine maximum possible proper irreducible fraction <image> such that sum of its numerator and denominator equals n. Help Petya deal with this problem. Input In the only line of input there is an integer n (3 ≤ n ≤ 1000), the sum of numerator and denominator of the fraction. Output Output two space-separated positive integers a and b, numerator and denominator of the maximum possible proper irreducible fraction satisfying the given sum. Examples Input 3 Output 1 2 Input 4 Output 1 3 Input 12 Output 5 7
n = int(input()) if n%4 == 0: x = n//2 print(x-1,x+1) elif n % 4 == 2: x = n//2 print(x-2,x+2) else: x = n//2 print(x,x+1)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: number: int @classmethod def from_str(cls, input_: str): number = int(input_.strip()) return cls(number) def __repr__(self): return str(self.number) + '\n'
12
O(1)
0.000003
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p04012 AtCoder Beginner Contest 044 - Beautiful Strings
2389
2389_139
Let w be a string consisting of lowercase letters. We will call w beautiful if the following condition is satisfied: * Each lowercase letter of the English alphabet occurs even number of times in w. You are given the string w. Determine if w is beautiful. Constraints * 1 \leq |w| \leq 100 * w consists of lowercase letters (`a`-`z`). Input The input is given from Standard Input in the following format: w Output Print `Yes` if w is beautiful. Print `No` otherwise. Examples Input abaccaba Output Yes Input hthth Output No
s=input() ch=0 for i in s: if s.count(i)%2 ==1: ch=1 print("YNeos"[ch::2])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): return cls(input_.strip()) def __repr__(self): return self.s + '\n'
abaccaba
O(n**2)
0
{ "public_tests": [ { "input": "abaccaba", "output": "Yes" }, { "input": "hthth", "output": "No" } ], "private_tests": [], "generated_tests": [ { "input": "ab`ccaba", "output": "No\n" }, { "input": "ab`cc`ba", "output": "Yes\n" }, { "input": "hthtg", "output": "No\n" }, { "input": "hghtt", "output": "No\n" }, { "input": "`b`cc`ba", "output": "No\n" }, { "input": "hgtth", "output": "No\n" }, { "input": "ab`cc`b`", "output": "No\n" }, { "input": "hgtuh", "output": "No\n" }, { "input": "`b`cc`ca", "output": "No\n" }, { "input": "hgsth", "output": "No\n" }, { "input": "`b_cc`ca", "output": "No\n" }, { "input": "hfsth", "output": "No\n" }, { "input": "`b_dc`ca", "output": "No\n" }, { "input": "hfsti", "output": "No\n" }, { "input": "`b_dc`da", "output": "No\n" }, { "input": "hgsti", "output": "No\n" }, { "input": "ad`cd_b`", "output": "No\n" }, { "input": "hgssi", "output": "No\n" }, { "input": "ad`cd_a`", "output": "No\n" }, { "input": "issgh", "output": "No\n" }, { "input": "`a_dc`da", "output": "No\n" }, { "input": "igssh", "output": "No\n" }, { "input": "ad`cc_a`", "output": "No\n" }, { "input": "ihssh", "output": "No\n" }, { "input": "a``cc_ad", "output": "No\n" }, { "input": "ihsrh", "output": "No\n" }, { "input": "a`_cc_ad", "output": "No\n" }, { "input": "ihsri", "output": "No\n" }, { "input": "a__cc`ad", "output": "No\n" }, { "input": "irshi", "output": "No\n" }, { "input": "a__cd`ad", "output": "No\n" }, { "input": "rishi", "output": "No\n" }, { "input": "da`dc__a", "output": "No\n" }, { "input": "rjshi", "output": "No\n" }, { "input": "da`dc_`a", "output": "No\n" }, { "input": "rjshj", "output": "No\n" }, { "input": "da_dc_`a", "output": "No\n" }, { "input": "rjsij", "output": "No\n" }, { "input": "a`_cd_ad", "output": "No\n" }, { "input": "jisjr", "output": "No\n" }, { "input": "da^dc_`a", "output": "No\n" }, { "input": "ijsjr", "output": "No\n" }, { "input": "a`_cd^ad", "output": "No\n" }, { "input": "ijskr", "output": "No\n" }, { "input": "`a_cd^ad", "output": "No\n" }, { "input": "ijsrk", "output": "No\n" }, { "input": "`ac_d^ad", "output": "No\n" }, { "input": "ijsrj", "output": "No\n" }, { "input": "da^d_ca`", "output": "No\n" }, { "input": "ijrrj", "output": "No\n" }, { "input": "`^c_daad", "output": "No\n" }, { "input": "jrrji", "output": "No\n" }, { "input": "`^c`daad", "output": "No\n" }, { "input": "jrsji", "output": "No\n" }, { "input": "daad`c^`", "output": "No\n" }, { "input": "jrsjj", "output": "No\n" }, { "input": "daac`c^`", "output": "No\n" }, { "input": "jjsrj", "output": "No\n" }, { "input": "d^ac`ca`", "output": "No\n" }, { "input": "krsjj", "output": "No\n" }, { "input": "d^bc`ca`", "output": "No\n" }, { "input": "krtjj", "output": "No\n" }, { "input": "d^bc_ca`", "output": "No\n" }, { "input": "krtij", "output": "No\n" }, { "input": "`ac_cb^d", "output": "No\n" }, { "input": "kjtjr", "output": "No\n" }, { "input": "c^bd_ca`", "output": "No\n" }, { "input": "tjkjr", "output": "No\n" }, { "input": "`ac_db^c", "output": "No\n" }, { "input": "tikjr", "output": "No\n" }, { "input": "`ac_db_c", "output": "No\n" }, { "input": "rjkit", "output": "No\n" }, { "input": "c_bd_ca`", "output": "No\n" }, { "input": "rjkti", "output": "No\n" }, { "input": "`accdb__", "output": "No\n" }, { "input": "rkkti", "output": "No\n" }, { "input": "__bdcca`", "output": "No\n" }, { "input": "rkkui", "output": "No\n" }, { "input": "__bdc`ac", "output": "No\n" }, { "input": "iukkr", "output": "No\n" }, { "input": "`_bdc`ac", "output": "No\n" }, { "input": "krkui", "output": "No\n" }, { "input": "ca`cdb_`", "output": "No\n" }, { "input": "iukrk", "output": "No\n" }, { "input": "c``cdb_a", "output": "No\n" }, { "input": "itkrk", "output": "No\n" }, { "input": "ca`cdb_a", "output": "No\n" }, { "input": "htkrk", "output": "No\n" }, { "input": "a_bdc`ac", "output": "No\n" }, { "input": "hrktk", "output": "No\n" }, { "input": "a_b`cdac", "output": "No\n" }, { "input": "ktkrh", "output": "No\n" }, { "input": "a_a`cdac", "output": "No\n" }, { "input": "kthrk", "output": "No\n" }, { "input": "cadc`a_a", "output": "No\n" }, { "input": "kthqk", "output": "No\n" }, { "input": "dadc`a_a", "output": "No\n" }, { "input": "kqhtk", "output": "No\n" }, { "input": "dadc`b_a", "output": "No\n" }, { "input": "kphtk", "output": "No\n" } ] }
[ 5.614901186803347e-7, 5.077652154749582e-7, 5.039715916293619e-7, 5.018778828625395e-7, 5.007632688571911e-7, 5.001823433693283e-7, 4.996661628841393e-7, 3.328163722988904e-7, 3.1904387393607225e-7, 3.18571080463486e-7, 5.494063678006962e-8, 5.488274539075067e-8, 5.4810744183893074e-8, 5.480525754727744e-8, 5.473528772847747e-8, 5.4733615422856495e-8, 5.470830022331517e-8, 5.469645433805415e-8, 5.436787463015983e-8, 5.436511791839604e-8, 5.435662080555284e-8, 5.435616571298534e-8, 5.435431250355898e-8, 5.4344601209395766e-8, 5.434362411995321e-8, 5.434285680716477e-8, 5.4338992377167015e-8, 5.433773145118211e-8, 5.433072353790414e-8, 5.432346031595391e-8, 5.4321408253676374e-8, 5.432081620840758e-8, 5.4311635432342825e-8, 5.4311525673456515e-8, 3.593323112889203e-8, 3.582136423989442e-8, 3.5764151006645966e-8, 3.5764035754473776e-8, 3.5648805890598655e-8, 3.5641197619864244e-8, 3.555599722655013e-8, 3.554533822773796e-8, 3.5536619300206407e-8, 3.5531454535794524e-8, 3.5501331261065664e-8, 3.5482351334530986e-8, 3.541411354830507e-8, 3.5257623859258795e-8, 3.516417780853525e-8, 3.5158757088819335e-8, 3.5136916294041206e-8, 3.513501515680704e-8, 3.51017017127288e-8, 3.507610272566651e-8, 3.507345581953579e-8, 3.506759472309938e-8, 3.50527489572123e-8, 3.499162895355998e-8, 3.494860989067072e-8, 3.487618815186941e-8, 3.4024064496736154e-8 ]
p04012 AtCoder Beginner Contest 044 - Beautiful Strings
2389
2389_42
Let w be a string consisting of lowercase letters. We will call w beautiful if the following condition is satisfied: * Each lowercase letter of the English alphabet occurs even number of times in w. You are given the string w. Determine if w is beautiful. Constraints * 1 \leq |w| \leq 100 * w consists of lowercase letters (`a`-`z`). Input The input is given from Standard Input in the following format: w Output Print `Yes` if w is beautiful. Print `No` otherwise. Examples Input abaccaba Output Yes Input hthth Output No
word = input() wset = set(word) a = 'Yes' for w in wset: if word.count(w) % 2 != 0: a = 'No' print(a)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): return cls(input_.strip()) def __repr__(self): return self.s + '\n'
abaccaba
O(n)
0
{ "public_tests": [ { "input": "abaccaba", "output": "Yes" }, { "input": "hthth", "output": "No" } ], "private_tests": [], "generated_tests": [ { "input": "ab`ccaba", "output": "No\n" }, { "input": "ab`cc`ba", "output": "Yes\n" }, { "input": "hthtg", "output": "No\n" }, { "input": "hghtt", "output": "No\n" }, { "input": "`b`cc`ba", "output": "No\n" }, { "input": "hgtth", "output": "No\n" }, { "input": "ab`cc`b`", "output": "No\n" }, { "input": "hgtuh", "output": "No\n" }, { "input": "`b`cc`ca", "output": "No\n" }, { "input": "hgsth", "output": "No\n" }, { "input": "`b_cc`ca", "output": "No\n" }, { "input": "hfsth", "output": "No\n" }, { "input": "`b_dc`ca", "output": "No\n" }, { "input": "hfsti", "output": "No\n" }, { "input": "`b_dc`da", "output": "No\n" }, { "input": "hgsti", "output": "No\n" }, { "input": "ad`cd_b`", "output": "No\n" }, { "input": "hgssi", "output": "No\n" }, { "input": "ad`cd_a`", "output": "No\n" }, { "input": "issgh", "output": "No\n" }, { "input": "`a_dc`da", "output": "No\n" }, { "input": "igssh", "output": "No\n" }, { "input": "ad`cc_a`", "output": "No\n" }, { "input": "ihssh", "output": "No\n" }, { "input": "a``cc_ad", "output": "No\n" }, { "input": "ihsrh", "output": "No\n" }, { "input": "a`_cc_ad", "output": "No\n" }, { "input": "ihsri", "output": "No\n" }, { "input": "a__cc`ad", "output": "No\n" }, { "input": "irshi", "output": "No\n" }, { "input": "a__cd`ad", "output": "No\n" }, { "input": "rishi", "output": "No\n" }, { "input": "da`dc__a", "output": "No\n" }, { "input": "rjshi", "output": "No\n" }, { "input": "da`dc_`a", "output": "No\n" }, { "input": "rjshj", "output": "No\n" }, { "input": "da_dc_`a", "output": "No\n" }, { "input": "rjsij", "output": "No\n" }, { "input": "a`_cd_ad", "output": "No\n" }, { "input": "jisjr", "output": "No\n" }, { "input": "da^dc_`a", "output": "No\n" }, { "input": "ijsjr", "output": "No\n" }, { "input": "a`_cd^ad", "output": "No\n" }, { "input": "ijskr", "output": "No\n" }, { "input": "`a_cd^ad", "output": "No\n" }, { "input": "ijsrk", "output": "No\n" }, { "input": "`ac_d^ad", "output": "No\n" }, { "input": "ijsrj", "output": "No\n" }, { "input": "da^d_ca`", "output": "No\n" }, { "input": "ijrrj", "output": "No\n" }, { "input": "`^c_daad", "output": "No\n" }, { "input": "jrrji", "output": "No\n" }, { "input": "`^c`daad", "output": "No\n" }, { "input": "jrsji", "output": "No\n" }, { "input": "daad`c^`", "output": "No\n" }, { "input": "jrsjj", "output": "No\n" }, { "input": "daac`c^`", "output": "No\n" }, { "input": "jjsrj", "output": "No\n" }, { "input": "d^ac`ca`", "output": "No\n" }, { "input": "krsjj", "output": "No\n" }, { "input": "d^bc`ca`", "output": "No\n" }, { "input": "krtjj", "output": "No\n" }, { "input": "d^bc_ca`", "output": "No\n" }, { "input": "krtij", "output": "No\n" }, { "input": "`ac_cb^d", "output": "No\n" }, { "input": "kjtjr", "output": "No\n" }, { "input": "c^bd_ca`", "output": "No\n" }, { "input": "tjkjr", "output": "No\n" }, { "input": "`ac_db^c", "output": "No\n" }, { "input": "tikjr", "output": "No\n" }, { "input": "`ac_db_c", "output": "No\n" }, { "input": "rjkit", "output": "No\n" }, { "input": "c_bd_ca`", "output": "No\n" }, { "input": "rjkti", "output": "No\n" }, { "input": "`accdb__", "output": "No\n" }, { "input": "rkkti", "output": "No\n" }, { "input": "__bdcca`", "output": "No\n" }, { "input": "rkkui", "output": "No\n" }, { "input": "__bdc`ac", "output": "No\n" }, { "input": "iukkr", "output": "No\n" }, { "input": "`_bdc`ac", "output": "No\n" }, { "input": "krkui", "output": "No\n" }, { "input": "ca`cdb_`", "output": "No\n" }, { "input": "iukrk", "output": "No\n" }, { "input": "c``cdb_a", "output": "No\n" }, { "input": "itkrk", "output": "No\n" }, { "input": "ca`cdb_a", "output": "No\n" }, { "input": "htkrk", "output": "No\n" }, { "input": "a_bdc`ac", "output": "No\n" }, { "input": "hrktk", "output": "No\n" }, { "input": "a_b`cdac", "output": "No\n" }, { "input": "ktkrh", "output": "No\n" }, { "input": "a_a`cdac", "output": "No\n" }, { "input": "kthrk", "output": "No\n" }, { "input": "cadc`a_a", "output": "No\n" }, { "input": "kthqk", "output": "No\n" }, { "input": "dadc`a_a", "output": "No\n" }, { "input": "kqhtk", "output": "No\n" }, { "input": "dadc`b_a", "output": "No\n" }, { "input": "kphtk", "output": "No\n" } ] }
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637_A. Voting for Photos
2947
2947_115
After celebrating the midcourse the students of one of the faculties of the Berland State University decided to conduct a vote for the best photo. They published the photos in the social network and agreed on the rules to choose a winner: the photo which gets most likes wins. If multiple photoes get most likes, the winner is the photo that gets this number first. Help guys determine the winner photo by the records of likes. Input The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the total likes to the published photoes. The second line contains n positive integers a1, a2, ..., an (1 ≤ ai ≤ 1 000 000), where ai is the identifier of the photo which got the i-th like. Output Print the identifier of the photo which won the elections. Examples Input 5 1 3 2 2 1 Output 2 Input 9 100 200 300 200 100 300 300 100 200 Output 300 Note In the first test sample the photo with id 1 got two likes (first and fifth), photo with id 2 got two likes (third and fourth), and photo with id 3 got one like (second). Thus, the winner is the photo with identifier 2, as it got: * more likes than the photo with id 3; * as many likes as the photo with id 1, but the photo with the identifier 2 got its second like earlier.
n = int(input()) a = input().split() b = set(a) maximum = -1 maximum_id = [] for i in b: x = a.count(i) if x > maximum: maximum_id = [int(i)] maximum = x elif x == maximum: maximum_id.append(int(i)) a = a[::-1] maximum = -1 answer = -1 for i in maximum_id: x = a.index(str(i)) if x > maximum: answer = i maximum = x print(answer)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
9 100 200 300 200 100 300 300 100 200
O(n**2)
0.000001
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637_A. Voting for Photos
2947
2947_125
After celebrating the midcourse the students of one of the faculties of the Berland State University decided to conduct a vote for the best photo. They published the photos in the social network and agreed on the rules to choose a winner: the photo which gets most likes wins. If multiple photoes get most likes, the winner is the photo that gets this number first. Help guys determine the winner photo by the records of likes. Input The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the total likes to the published photoes. The second line contains n positive integers a1, a2, ..., an (1 ≤ ai ≤ 1 000 000), where ai is the identifier of the photo which got the i-th like. Output Print the identifier of the photo which won the elections. Examples Input 5 1 3 2 2 1 Output 2 Input 9 100 200 300 200 100 300 300 100 200 Output 300 Note In the first test sample the photo with id 1 got two likes (first and fifth), photo with id 2 got two likes (third and fourth), and photo with id 3 got one like (second). Thus, the winner is the photo with identifier 2, as it got: * more likes than the photo with id 3; * as many likes as the photo with id 1, but the photo with the identifier 2 got its second like earlier.
n = int(input()) a = [int(x) for x in input().split()] score = dict() sup, winner = -2**31, None for v in a: score[v] = score[v] + 1 if v in score else 1 if score[v] > sup: sup, winner = score[v], v print(winner)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
9 100 200 300 200 100 300 300 100 200
O(n)
0.000007
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801_A. Vicious Keyboard
2589
2589_115
Tonio has a keyboard with only two letters, "V" and "K". One day, he has typed out a string s with only these two letters. He really likes it when the string "VK" appears, so he wishes to change at most one letter in the string (or do no changes) to maximize the number of occurrences of that string. Compute the maximum number of times "VK" can appear as a substring (i. e. a letter "K" right after a letter "V") in the resulting string. Input The first line will contain a string s consisting only of uppercase English letters "V" and "K" with length not less than 1 and not greater than 100. Output Output a single integer, the maximum number of times "VK" can appear as a substring of the given string after changing at most one character. Examples Input VK Output 1 Input VV Output 1 Input V Output 0 Input VKKKKKKKKKVVVVVVVVVK Output 3 Input KVKV Output 1 Note For the first case, we do not change any letters. "VK" appears once, which is the maximum number of times it could appear. For the second case, we can change the second character from a "V" to a "K". This will give us the string "VK". This has one occurrence of the string "VK" as a substring. For the fourth case, we can change the fourth character from a "K" to a "V". This will give us the string "VKKVKKKKKKVVVVVVVVVK". This has three occurrences of the string "VK" as a substring. We can check no other moves can give us strictly more occurrences.
s = input() import copy result = s.count('vk') for i in range(len(s)): news = copy.copy(s) news = list(news) news[i] = 'V' news = ''.join(news) result = max(result, news.count('VK')) for i in range(len(s)): news = copy.copy(s) news = list(news) news[i] = 'K' news = ''.join(news) result = max(result, news.count('VK')) print(result)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: string: str @classmethod def from_str(cls, input_: str): string = input_.strip() return cls(string) def __repr__(self): return self.string + '\n'
VK
O(n**2)
0
{ "public_tests": [ { "input": "VK\n", "output": "1\n" }, { "input": "V\n", "output": "0\n" }, { "input": "VKKKKKKKKKVVVVVVVVVK\n", "output": "3\n" }, { "input": "VV\n", "output": "1\n" }, { "input": "KVKV\n", "output": "1\n" } ], "private_tests": [ { "input": "VKVK\n", "output": "2\n" }, { "input": "KVV\n", "output": "1\n" }, { "input": "VVVKK\n", "output": "2\n" }, { "input": "VKVVVKKKVKVVKVKVKVKVKVV\n", "output": "9\n" }, { "input": "VKVVKVV\n", "output": "3\n" }, { "input": "KK\n", "output": "1\n" }, { "input": "KVVKKVKVKVKVKVKKVKVKVVKVKVVKVVKVKKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVVKVKVVKKVKVKK\n", "output": "32\n" }, { "input": "KKKKVKKVKVKVKKKVVVVKK\n", "output": "6\n" }, { "input": "VVVKVKVKVKVKVKVK\n", "output": "8\n" }, { "input": "VKVKVV\n", "output": "3\n" }, { "input": "KKVKV\n", "output": "2\n" }, { "input": "KKV\n", "output": "1\n" }, { "input": "VKKK\n", "output": "2\n" }, { "input": "KVKVKVKVKVKVKVKVKVKVVKVKVKVKVKVKVKVVKVKVKKVKVKVKVKVVKVKVKVKVKVKVKVKVKKVKVKVV\n", "output": "35\n" }, { "input": "KKVVKVVKVVKKVVKKVKVVKKV\n", "output": "7\n" }, { "input": "VVKKVKVKKKVVVKVVVKVKKVKKKVVVKVVKVKKVKKVKVKVVKKVVKKVKVVKKKVVKKVVVKVKVVVKVKVVKVKKVKKV\n", "output": "26\n" }, { "input": "VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV\n", "output": "1\n" }, { "input": "VKVVKKVKKVVKVKKVKKKVKKVKVKK\n", "output": "10\n" }, { "input": "KKKK\n", "output": "1\n" }, { "input": "VKVV\n", "output": "2\n" }, { "input": "KV\n", "output": "0\n" }, { "input": "KKVK\n", "output": "2\n" }, { "input": "KKVV\n", "output": "1\n" }, { "input": "KVVVK\n", "output": "2\n" }, { "input": "VKVVKVKVVKVKKKKVVVVVVVVKVKVVVVVVKKVKKVKVVKVKKVVVVKV\n", "output": "14\n" }, { "input": "KKVVKKVVVKKVKKVKKVVVKVVVKKVKKVVVKKVVVKVVVKVVVKKVVVKKVVVKVVVKKVVVKVVKKVVVKKVVVKKVVKVVVKKVVKKVKKVVVKKV\n", "output": "24\n" }, { "input": "VKKKVK\n", "output": "3\n" }, { "input": "VVKKKKKKVKK\n", "output": "3\n" }, { "input": "VVKKVV\n", "output": "2\n" }, { "input": "VVVVVKKVKVKVKVVKVVKKVVKVKKKKKKKVKKKVVVVVVKKVVVKVKVVKVKKVVKVVVKKKKKVVVVVKVVVVKVVVKKVKKVKKKVKKVKKVVKKV\n", "output": "25\n" }, { "input": "KVKVKVV\n", "output": "3\n" }, { "input": "VKVKVKVKVKVKVKVKVKVKVVKVKVKVKVKVK\n", "output": "16\n" }, { "input": "KKVKVVVKKVV\n", "output": "3\n" }, { "input": "K\n", "output": "0\n" }, { "input": "VKVKKK\n", "output": "3\n" }, { "input": "VVKVV\n", "output": "2\n" }, { "input": "VKKV\n", "output": "1\n" }, { "input": "KKKKK\n", "output": "1\n" }, { "input": "VVVVVV\n", "output": "1\n" }, { "input": "KKK\n", "output": "1\n" }, { "input": "VVK\n", "output": "1\n" }, { "input": "VKKVK\n", "output": "2\n" }, { "input": "VKKVVVKVKVK\n", "output": "5\n" }, { "input": "KVVVVVKKVKVVKVVVKVVVKKKVKKKVVKVKKKVKKKKVKVVVVVKKKVVVVKKVVVVKKKVKVVVVVVVKKVKVKKKVVKVVVKVVKK\n", "output": "21\n" }, { "input": "VKKVV\n", "output": "2\n" }, { "input": "VVKVKKVVKKVVKKVVKKVVKKVKKVVKVKKVVKKVVKKVVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVKKVVKVVKKVVKVVKKVV\n", "output": "26\n" }, { "input": "VKVVKVVKKKVVKVKKKVVKKKVVKVVKVVKKVKKKVKVKKKVVKVKKKVVKVVKKKVVKKKVKKKVVKKVVKKKVKVKKKVKKKVKKKVKVKKKVVKVK\n", "output": "29\n" }, { "input": "VVV\n", "output": "1\n" }, { "input": "KKKKKKK\n", "output": "1\n" }, { "input": "VVKKVKKVVKKVKKVKVVKKVKKVVKKVKVVKKVKKVKVVKKVVKKVKVVKKVKVVKKVVKVVKKVKKVKKVKKVKKVKVVKKVKKVKKVKKVKKVVKVK\n", "output": "32\n" }, { "input": "VVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVV\n", "output": "13\n" }, { "input": "KVKVKKVVVVVVKKKVKKKKVVVVKVKKVKVVK\n", "output": "9\n" }, { "input": "KKVKVK\n", "output": "3\n" }, { "input": "VVVKVKVKVVVVVKVVVKKVVVKVVVVVKKVVKVVVKVVVKVKKKVVKVVVVVKVVVVKKVVKVKKVVKKKVKVVKVKKKKVVKVVVKKKVKVKKKKKK\n", "output": "25\n" }, { "input": "KKVVV\n", "output": "1\n" }, { "input": "KKVVKKV\n", "output": "2\n" }, { "input": "KKVKKVKKKVKKKVKKKVKVVVKKVVVVKKKVKKVVKVKKVKVKVKVVVKKKVKKKKKVVKVVKVVVKKVVKVVKKKKKVK\n", "output": "22\n" }, { "input": "KKKV\n", "output": "1\n" } ], "generated_tests": [ { "input": "VKV\n", "output": "1\n" }, { "input": "VVKVVKV\n", "output": "2\n" }, { "input": "KVKVKVKVKVKVKVVV\n", "output": "7\n" }, { "input": "VVKVKVKKVKVKVKVKVKVKVKVKVVKVKVKVKVKKVKVKVVKVKVKVKVKVKVKVVKVKVKVKVKVKVKVKVKVK\n", "output": "35\n" }, { "input": "VKKVKKVKVVKVKVVVKVKVVVKKVVKKKVVKVKKVVKKVVKVKVKKVKKVKVVKVVVKKKVKKVKVVVKVVVKKKVKVKKVV\n", "output": "26\n" }, { "input": "VKVVVVKKVKVVKVKKVKKVVVVVVKVKVVVVVVVVKKKKVKVVKVKVVKV\n", "output": "14\n" }, { "input": "KVVKKKKKVKK\n", "output": "3\n" }, { "input": "VVVVVKKVKKKVKVVKVVKKVVKVKKKKKKKVKKKVVVVVVKKVVVKVKVVKVKKVVKVVVVKKKKVVVVVKVVVVKVVVKKVKKVKKKVKKVKKVVKKV\n", "output": "24\n" }, { "input": "KKVVKVVVKVVKKKVKVKKVVVVVVVKVKKKVVVVKKVVVVKKKVVVVVKVKKKKVKKKVKVVKKKVKKKVVVKVVVKVVKVKKVVVVVK\n", "output": "21\n" }, { "input": "KVKKKKKVVKVVKKVVVKVVKVVKKKKKVKKKVVVKVKVKVKKVKVVKKVKKKVVVVKKVVVKVKKKVKKKVKKKVKKVKK\n", "output": "22\n" }, { "input": "LVKVKKKVKVVVKVVV\n", "output": "5\n" }, { "input": "KKVKKKVKKVK\n", "output": "4\n" }, { "input": "KVVKKVKVKVKVKVKKVKVKVVVVKVVKVVKVKKVKVKVKVKVKVKVKKKVKVKVKVKVKVKVVKVKVVKKVKVKK\n", "output": "31\n" }, { "input": "KKKKVKKVKVKVVKKVVVKKK\n", "output": "6\n" }, { "input": "KVKVKVKVKVKVKVKVKVKVVKVKVKVKVKVVVKVKKVKVKKVKVKVKVKVVKVKVKVKVKVKVKVKVKKVKVKVV\n", "output": "34\n" }, { "input": "VVVVVKKVKVKVKVVKVVKKVVKVKKKKKKKVKKKVVVVVVKKVVVKVKVVKVKKVVKVVVKKKKKVVVVVKVVVVKVVVKJVKKVKKKVKKVKKVVKKV\n", "output": "25\n" }, { "input": "KVKVKVKVKVKVVKVKVKVKVKVKVKVKVKVKV\n", "output": "15\n" }, { "input": "KVVKVKKVKVVVVKKKKVKKKVVVVVVKKVKVK\n", "output": "9\n" }, { "input": "KVKKKKKVVKVVKKVVVKVVKVVKKKKKVKKKVVVKVKVVVKKVKVVKKKKKKVVVVKKVVVKVKKKVKKKVKKKVKKVKK\n", "output": "20\n" }, { "input": "KKVKVKKVVKVVVVKVKVKVKVKVKVKKKVKVKVKVKVKVKVKKVKVVKVVKKVVVKVKVKKVKVKVKVKVKKVVK\n", "output": "30\n" }, { "input": "KKKVV\n", "output": "1\n" }, { "input": "KKVVKVVKVVKKVVKJVKVVKKV\n", "output": "7\n" }, { "input": "VVKV\n", "output": "1\n" }, { "input": "KVKK\n", "output": "1\n" }, { "input": "VVKK\n", "output": "1\n" }, { "input": "KVKKKV\n", "output": "2\n" }, { "input": "KKVKKVVVKVV\n", "output": "3\n" }, { "input": "KKKVKV\n", "output": "2\n" }, { "input": "UVKVV\n", "output": "2\n" }, { "input": "VVKKV\n", "output": "1\n" }, { "input": "VVKVKKVVKKVVKKVVKKVVKLVKKVVKVKKVVKKVVKKVVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVKKVVKVVKKVVKVVKKVV\n", "output": "26\n" }, { "input": "KKVVKJV\n", "output": "2\n" }, { "input": "VKKKKKKKKKWVVVVVVVVK\n", "output": "3\n" }, { "input": "LVKVKVKVKVKVKVVV\n", "output": "7\n" }, { "input": "LVKKKV\n", "output": "2\n" }, { "input": "KKVKKKKKVVK\n", "output": "3\n" }, { "input": "VKKVVKKVKKVKKKVKKVKKVVVKVVVVKVVVVVKKKKVVVVKVVKKVKVVKVKVVVKKVVVVVVKKKVKKKKKKKVKVVKKVVKVVKVKKKVKKVVVVV\n", "output": "24\n" }, { "input": "KKVKKWVVKVV\n", "output": "3\n" }, { "input": "KKVKKWVVKWV\n", "output": "3\n" }, { "input": "KKKKKVVKKVK\n", "output": "3\n" }, { "input": "KVKKVVKKKKK\n", "output": "3\n" }, { "input": "KKVVKVVVVVKKVVKKVKKVKKV\n", "output": "6\n" }, { "input": "UVKKVKVKKKVVVKVVVKVKKVKKKVVVKVVKVKKVKKVKVKVVKKVVKKVKVVKKKVVKKVVVKVKVVVKVKVVKVKKVKKV\n", "output": "26\n" }, { "input": "KKVKKKKKKVV\n", "output": "2\n" }, { "input": "VVKKVVVKVKK\n", "output": "4\n" }, { "input": "KKKKJ\n", "output": "1\n" }, { "input": "WVVVVV\n", "output": "1\n" }, { "input": "KVKVKVVVKKV\n", "output": "4\n" }, { "input": "KVVVVVKKVKVVKVVVKVVVKKKVKKKVVKVKKKVKKKKVKVVVVVKKKVVVVKKVVVVKKVVKVVVVVKVKKVKVKKKVVKVVVKVVKK\n", "output": "22\n" }, { "input": "VVKKVVKVVKKVVKVVKKVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVVKKVVKKVVKKVKVVKKVKKVVKKVVKKVVKKVVKKVKVV\n", "output": "26\n" }, { "input": "KJVVV\n", "output": "1\n" }, { "input": "KKKWV\n", "output": "1\n" }, { "input": "KKVVKVVKVVKKVKKJVKVVKVV\n", "output": "7\n" }, { "input": "KKVVKVVVKVVKKKVKVKKVVVVVVVKVKKKVVVVKKVVVVKKKVKVVVKVKKKVVKKKVKVVKKKVKKKVVVKVVVKVVKVKKVVVVVK\n", "output": "22\n" }, { "input": "KVKVV\n", "output": "2\n" }, { "input": "VKKVVKK\n", "output": "2\n" }, { "input": "KVKKKKKWVKVVKKVVVKVVKVVKKKKKVKKKVVVKVKVKVKKVKVVKKVKKKVVVVKKVVVKVKKKVKKKVKKKVKKVKK\n", "output": "22\n" }, { "input": "VKKKKKKKKKWWVVVVVVVK\n", "output": "3\n" }, { "input": "VKKVVKKVKKVKKKVKKVKJVVVKVVVVKVVVVVKKKKVVVVKVVKKVKVVKVKVVVKKVVVVVVKKKVKKKKKKKVKVVKKVVKVVKVKKKVKKVVVVV\n", "output": "24\n" }, { "input": "KLVKKWVVKVV\n", "output": "3\n" }, { "input": "LVKVKKJVKVVVKVVV\n", "output": "5\n" }, { "input": "KKKKKWVKKVK\n", "output": "3\n" }, { "input": "KKVKVKKVVKVKVVKVKVKVKVKVKVKKKVKVKVKVKVKVKVKKVKVVKVVKVVVVKVKVKKVKVKVKVKVKKVVK\n", "output": "31\n" }, { "input": "KKKVVVKKVVKVKVKKVKKKK\n", "output": "6\n" }, { "input": "VKKVKKVKKVVKKVVVVVKVVKK\n", "output": "7\n" }, { "input": "KVKVKVVVKKU\n", "output": "4\n" }, { "input": "KKVVKVVVKVVKKKVKVKKVKVVVVVKVVKKVVVVKKVVVVKKKVVVVVKVKKKKVKKKVKVVKKKVKKKVVVKVVVKVVKVKKVVVVVK\n", "output": "22\n" }, { "input": "VVKKVVKVVKKVVKVVKKVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVVKKVVKKVVKKVKVVKKVKKVVKKVVKKVVKKWVKKVKVV\n", "output": "26\n" }, { "input": "KVKVKKVVVVVVKKKVKKVKVVVVKVKKKKVVK\n", "output": "9\n" }, { "input": "KKVKKVKKKVKKKVKKKVKVVVKKVVVVKKKKKKVVKVKKVVVKVKVVVKKKVKKKKKVVKVVKVVVKKVVKVVKKKKKVK\n", "output": "20\n" }, { "input": "VVKVK\n", "output": "2\n" }, { "input": "KKKKKWVVKKK\n", "output": "2\n" }, { "input": "VKKVVVKKKVKVKVKKVKKKK\n", "output": "7\n" } ] }
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801_A. Vicious Keyboard
2589
2589_26
Tonio has a keyboard with only two letters, "V" and "K". One day, he has typed out a string s with only these two letters. He really likes it when the string "VK" appears, so he wishes to change at most one letter in the string (or do no changes) to maximize the number of occurrences of that string. Compute the maximum number of times "VK" can appear as a substring (i. e. a letter "K" right after a letter "V") in the resulting string. Input The first line will contain a string s consisting only of uppercase English letters "V" and "K" with length not less than 1 and not greater than 100. Output Output a single integer, the maximum number of times "VK" can appear as a substring of the given string after changing at most one character. Examples Input VK Output 1 Input VV Output 1 Input V Output 0 Input VKKKKKKKKKVVVVVVVVVK Output 3 Input KVKV Output 1 Note For the first case, we do not change any letters. "VK" appears once, which is the maximum number of times it could appear. For the second case, we can change the second character from a "V" to a "K". This will give us the string "VK". This has one occurrence of the string "VK" as a substring. For the fourth case, we can change the fourth character from a "K" to a "V". This will give us the string "VKKVKKKKKKVVVVVVVVVK". This has three occurrences of the string "VK" as a substring. We can check no other moves can give us strictly more occurrences.
s=input() n=len(s) v=0 k=0 count=0 flag=0 fl=0 for i in range(n): if(s[i]=='V' and not(i==len(s)-1)): if(s[i+1]=='K'): count+=1 v=0 k=0 fl=1 else: v+=1 k=0 elif(s[i]=='V' and (i==len(s)-1)): v+=1 elif(fl==0 and s[i]=='K'): k+=1 elif(fl==1 and s[i]=='K'): fl=0 if((v>=2 or k>=2) and flag==0): count+=1 flag=1 print(count)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: string: str @classmethod def from_str(cls, input_: str): string = input_.strip() return cls(string) def __repr__(self): return self.string + '\n'
VK
O(n)
0.000001
{ "public_tests": [ { "input": "VK\n", "output": "1\n" }, { "input": "V\n", "output": "0\n" }, { "input": "VKKKKKKKKKVVVVVVVVVK\n", "output": "3\n" }, { "input": "VV\n", "output": "1\n" }, { "input": "KVKV\n", "output": "1\n" } ], "private_tests": [ { "input": "VKVK\n", "output": "2\n" }, { "input": "KVV\n", "output": "1\n" }, { "input": "VVVKK\n", "output": "2\n" }, { "input": "VKVVVKKKVKVVKVKVKVKVKVV\n", "output": "9\n" }, { "input": "VKVVKVV\n", "output": "3\n" }, { "input": "KK\n", "output": "1\n" }, { "input": "KVVKKVKVKVKVKVKKVKVKVVKVKVVKVVKVKKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVVKVKVVKKVKVKK\n", "output": "32\n" }, { "input": "KKKKVKKVKVKVKKKVVVVKK\n", "output": "6\n" }, { "input": "VVVKVKVKVKVKVKVK\n", "output": "8\n" }, { "input": "VKVKVV\n", "output": "3\n" }, { "input": "KKVKV\n", "output": "2\n" }, { "input": "KKV\n", "output": "1\n" }, { "input": "VKKK\n", "output": "2\n" }, { "input": "KVKVKVKVKVKVKVKVKVKVVKVKVKVKVKVKVKVVKVKVKKVKVKVKVKVVKVKVKVKVKVKVKVKVKKVKVKVV\n", "output": "35\n" }, { "input": "KKVVKVVKVVKKVVKKVKVVKKV\n", "output": "7\n" }, { "input": "VVKKVKVKKKVVVKVVVKVKKVKKKVVVKVVKVKKVKKVKVKVVKKVVKKVKVVKKKVVKKVVVKVKVVVKVKVVKVKKVKKV\n", "output": "26\n" }, { "input": "VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV\n", "output": "1\n" }, { "input": "VKVVKKVKKVVKVKKVKKKVKKVKVKK\n", "output": "10\n" }, { "input": "KKKK\n", "output": "1\n" }, { "input": "VKVV\n", "output": "2\n" }, { "input": "KV\n", "output": "0\n" }, { "input": "KKVK\n", "output": "2\n" }, { "input": "KKVV\n", "output": "1\n" }, { "input": "KVVVK\n", "output": "2\n" }, { "input": "VKVVKVKVVKVKKKKVVVVVVVVKVKVVVVVVKKVKKVKVVKVKKVVVVKV\n", "output": "14\n" }, { "input": "KKVVKKVVVKKVKKVKKVVVKVVVKKVKKVVVKKVVVKVVVKVVVKKVVVKKVVVKVVVKKVVVKVVKKVVVKKVVVKKVVKVVVKKVVKKVKKVVVKKV\n", "output": "24\n" }, { "input": "VKKKVK\n", "output": "3\n" }, { "input": "VVKKKKKKVKK\n", "output": "3\n" }, { "input": "VVKKVV\n", "output": "2\n" }, { "input": "VVVVVKKVKVKVKVVKVVKKVVKVKKKKKKKVKKKVVVVVVKKVVVKVKVVKVKKVVKVVVKKKKKVVVVVKVVVVKVVVKKVKKVKKKVKKVKKVVKKV\n", "output": "25\n" }, { "input": "KVKVKVV\n", "output": "3\n" }, { "input": "VKVKVKVKVKVKVKVKVKVKVVKVKVKVKVKVK\n", "output": "16\n" }, { "input": "KKVKVVVKKVV\n", "output": "3\n" }, { "input": "K\n", "output": "0\n" }, { "input": "VKVKKK\n", "output": "3\n" }, { "input": "VVKVV\n", "output": "2\n" }, { "input": "VKKV\n", "output": "1\n" }, { "input": "KKKKK\n", "output": "1\n" }, { "input": "VVVVVV\n", "output": "1\n" }, { "input": "KKK\n", "output": "1\n" }, { "input": "VVK\n", "output": "1\n" }, { "input": "VKKVK\n", "output": "2\n" }, { "input": "VKKVVVKVKVK\n", "output": "5\n" }, { "input": "KVVVVVKKVKVVKVVVKVVVKKKVKKKVVKVKKKVKKKKVKVVVVVKKKVVVVKKVVVVKKKVKVVVVVVVKKVKVKKKVVKVVVKVVKK\n", "output": "21\n" }, { "input": "VKKVV\n", "output": "2\n" }, { "input": "VVKVKKVVKKVVKKVVKKVVKKVKKVVKVKKVVKKVVKKVVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVKKVVKVVKKVVKVVKKVV\n", "output": "26\n" }, { "input": "VKVVKVVKKKVVKVKKKVVKKKVVKVVKVVKKVKKKVKVKKKVVKVKKKVVKVVKKKVVKKKVKKKVVKKVVKKKVKVKKKVKKKVKKKVKVKKKVVKVK\n", "output": "29\n" }, { "input": "VVV\n", "output": "1\n" }, { "input": "KKKKKKK\n", "output": "1\n" }, { "input": "VVKKVKKVVKKVKKVKVVKKVKKVVKKVKVVKKVKKVKVVKKVVKKVKVVKKVKVVKKVVKVVKKVKKVKKVKKVKKVKVVKKVKKVKKVKKVKKVVKVK\n", "output": "32\n" }, { "input": "VVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVVKKKVV\n", "output": "13\n" }, { "input": "KVKVKKVVVVVVKKKVKKKKVVVVKVKKVKVVK\n", "output": "9\n" }, { "input": "KKVKVK\n", "output": "3\n" }, { "input": "VVVKVKVKVVVVVKVVVKKVVVKVVVVVKKVVKVVVKVVVKVKKKVVKVVVVVKVVVVKKVVKVKKVVKKKVKVVKVKKKKVVKVVVKKKVKVKKKKKK\n", "output": "25\n" }, { "input": "KKVVV\n", "output": "1\n" }, { "input": "KKVVKKV\n", "output": "2\n" }, { "input": "KKVKKVKKKVKKKVKKKVKVVVKKVVVVKKKVKKVVKVKKVKVKVKVVVKKKVKKKKKVVKVVKVVVKKVVKVVKKKKKVK\n", "output": "22\n" }, { "input": "KKKV\n", "output": "1\n" } ], "generated_tests": [ { "input": "VKV\n", "output": "1\n" }, { "input": "VVKVVKV\n", "output": "2\n" }, { "input": "KVKVKVKVKVKVKVVV\n", "output": "7\n" }, { "input": "VVKVKVKKVKVKVKVKVKVKVKVKVVKVKVKVKVKKVKVKVVKVKVKVKVKVKVKVVKVKVKVKVKVKVKVKVKVK\n", "output": "35\n" }, { "input": "VKKVKKVKVVKVKVVVKVKVVVKKVVKKKVVKVKKVVKKVVKVKVKKVKKVKVVKVVVKKKVKKVKVVVKVVVKKKVKVKKVV\n", "output": "26\n" }, { "input": "VKVVVVKKVKVVKVKKVKKVVVVVVKVKVVVVVVVVKKKKVKVVKVKVVKV\n", "output": "14\n" }, { "input": "KVVKKKKKVKK\n", "output": "3\n" }, { "input": "VVVVVKKVKKKVKVVKVVKKVVKVKKKKKKKVKKKVVVVVVKKVVVKVKVVKVKKVVKVVVVKKKKVVVVVKVVVVKVVVKKVKKVKKKVKKVKKVVKKV\n", "output": "24\n" }, { "input": "KKVVKVVVKVVKKKVKVKKVVVVVVVKVKKKVVVVKKVVVVKKKVVVVVKVKKKKVKKKVKVVKKKVKKKVVVKVVVKVVKVKKVVVVVK\n", "output": "21\n" }, { "input": "KVKKKKKVVKVVKKVVVKVVKVVKKKKKVKKKVVVKVKVKVKKVKVVKKVKKKVVVVKKVVVKVKKKVKKKVKKKVKKVKK\n", "output": "22\n" }, { "input": "LVKVKKKVKVVVKVVV\n", "output": "5\n" }, { "input": "KKVKKKVKKVK\n", "output": "4\n" }, { "input": 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"input": "KVKKKV\n", "output": "2\n" }, { "input": "KKVKKVVVKVV\n", "output": "3\n" }, { "input": "KKKVKV\n", "output": "2\n" }, { "input": "UVKVV\n", "output": "2\n" }, { "input": "VVKKV\n", "output": "1\n" }, { "input": "VVKVKKVVKKVVKKVVKKVVKLVKKVVKVKKVVKKVVKKVVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVKKVVKVVKKVVKVVKKVV\n", "output": "26\n" }, { "input": "KKVVKJV\n", "output": "2\n" }, { "input": "VKKKKKKKKKWVVVVVVVVK\n", "output": "3\n" }, { "input": "LVKVKVKVKVKVKVVV\n", "output": "7\n" }, { "input": "LVKKKV\n", "output": "2\n" }, { "input": "KKVKKKKKVVK\n", "output": "3\n" }, { "input": "VKKVVKKVKKVKKKVKKVKKVVVKVVVVKVVVVVKKKKVVVVKVVKKVKVVKVKVVVKKVVVVVVKKKVKKKKKKKVKVVKKVVKVVKVKKKVKKVVVVV\n", "output": "24\n" }, { "input": "KKVKKWVVKVV\n", "output": "3\n" }, { "input": "KKVKKWVVKWV\n", "output": "3\n" }, { "input": "KKKKKVVKKVK\n", "output": "3\n" }, { "input": "KVKKVVKKKKK\n", "output": "3\n" }, { "input": "KKVVKVVVVVKKVVKKVKKVKKV\n", "output": "6\n" }, { "input": "UVKKVKVKKKVVVKVVVKVKKVKKKVVVKVVKVKKVKKVKVKVVKKVVKKVKVVKKKVVKKVVVKVKVVVKVKVVKVKKVKKV\n", "output": "26\n" }, { "input": "KKVKKKKKKVV\n", "output": "2\n" }, { "input": "VVKKVVVKVKK\n", "output": "4\n" }, { "input": "KKKKJ\n", "output": "1\n" }, { "input": "WVVVVV\n", "output": "1\n" }, { "input": "KVKVKVVVKKV\n", "output": "4\n" }, { "input": "KVVVVVKKVKVVKVVVKVVVKKKVKKKVVKVKKKVKKKKVKVVVVVKKKVVVVKKVVVVKKVVKVVVVVKVKKVKVKKKVVKVVVKVVKK\n", "output": "22\n" }, { "input": "VVKKVVKVVKKVVKVVKKVKKVVKKVVKVVKKVVKVVKKVVKVVKKVVKKVVKKVVKKVVKKVKVVKKVKKVVKKVVKKVVKKVVKKVKVV\n", "output": "26\n" }, { "input": "KJVVV\n", "output": "1\n" }, { "input": "KKKWV\n", "output": "1\n" }, { "input": "KKVVKVVKVVKKVKKJVKVVKVV\n", "output": "7\n" }, { "input": "KKVVKVVVKVVKKKVKVKKVVVVVVVKVKKKVVVVKKVVVVKKKVKVVVKVKKKVVKKKVKVVKKKVKKKVVVKVVVKVVKVKKVVVVVK\n", "output": "22\n" }, { "input": "KVKVV\n", "output": "2\n" }, { "input": "VKKVVKK\n", "output": "2\n" }, { "input": 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1244_A. Pens and Pencils
89
89_463
Tomorrow is a difficult day for Polycarp: he has to attend a lectures and b practical classes at the university! Since Polycarp is a diligent student, he is going to attend all of them. While preparing for the university, Polycarp wonders whether he can take enough writing implements to write all of the lectures and draw everything he has to during all of the practical classes. Polycarp writes lectures using a pen (he can't use a pencil to write lectures!); he can write down c lectures using one pen, and after that it runs out of ink. During practical classes Polycarp draws blueprints with a pencil (he can't use a pen to draw blueprints!); one pencil is enough to draw all blueprints during d practical classes, after which it is unusable. Polycarp's pencilcase can hold no more than k writing implements, so if Polycarp wants to take x pens and y pencils, they will fit in the pencilcase if and only if x + y ≤ k. Now Polycarp wants to know how many pens and pencils should he take. Help him to determine it, or tell that his pencilcase doesn't have enough room for all the implements he needs tomorrow! Note that you don't have to minimize the number of writing implements (though their total number must not exceed k). Input The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is described by one line containing five integers a, b, c, d and k, separated by spaces (1 ≤ a, b, c, d, k ≤ 100) — the number of lectures Polycarp has to attend, the number of practical classes Polycarp has to attend, the number of lectures which can be written down using one pen, the number of practical classes for which one pencil is enough, and the number of writing implements that can fit into Polycarp's pencilcase, respectively. In hacks it is allowed to use only one test case in the input, so t = 1 should be satisfied. Output For each test case, print the answer as follows: If the pencilcase can't hold enough writing implements to use them during all lectures and practical classes, print one integer -1. Otherwise, print two non-negative integers x and y — the number of pens and pencils Polycarp should put in his pencilcase. If there are multiple answers, print any of them. Note that you don't have to minimize the number of writing implements (though their total number must not exceed k). Example Input 3 7 5 4 5 8 7 5 4 5 2 20 53 45 26 4 Output 7 1 -1 1 3 Note There are many different answers for the first test case; x = 7, y = 1 is only one of them. For example, x = 3, y = 1 is also correct. x = 1, y = 3 is the only correct answer for the third test case.
n=int(input()) for i in range(n): k=list(map(int,input().split())) if k[0]%k[2]==0: x=k[0]//k[2] else: x=k[0]//k[2]+1 if k[1]%k[3]==0: y=k[1]//k[3] else: y=k[1]//k[3]+1 if (x+y)<=k[-1]: print(x,y) else: print('-1')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int lists: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) lists = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(lists) == n return cls(n, lists) def __repr__(self): lists_str = '\n'.join(' '.join(map(str, lst)) for lst in self.lists) return str(self.n) + '\n' + lists_str + '\n'
3 7 5 4 5 8 7 5 4 5 2 20 53 45 26 4
O(n*m)
0.000006
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1244_A. Pens and Pencils
89
89_909
Tomorrow is a difficult day for Polycarp: he has to attend a lectures and b practical classes at the university! Since Polycarp is a diligent student, he is going to attend all of them. While preparing for the university, Polycarp wonders whether he can take enough writing implements to write all of the lectures and draw everything he has to during all of the practical classes. Polycarp writes lectures using a pen (he can't use a pencil to write lectures!); he can write down c lectures using one pen, and after that it runs out of ink. During practical classes Polycarp draws blueprints with a pencil (he can't use a pen to draw blueprints!); one pencil is enough to draw all blueprints during d practical classes, after which it is unusable. Polycarp's pencilcase can hold no more than k writing implements, so if Polycarp wants to take x pens and y pencils, they will fit in the pencilcase if and only if x + y ≤ k. Now Polycarp wants to know how many pens and pencils should he take. Help him to determine it, or tell that his pencilcase doesn't have enough room for all the implements he needs tomorrow! Note that you don't have to minimize the number of writing implements (though their total number must not exceed k). Input The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is described by one line containing five integers a, b, c, d and k, separated by spaces (1 ≤ a, b, c, d, k ≤ 100) — the number of lectures Polycarp has to attend, the number of practical classes Polycarp has to attend, the number of lectures which can be written down using one pen, the number of practical classes for which one pencil is enough, and the number of writing implements that can fit into Polycarp's pencilcase, respectively. In hacks it is allowed to use only one test case in the input, so t = 1 should be satisfied. Output For each test case, print the answer as follows: If the pencilcase can't hold enough writing implements to use them during all lectures and practical classes, print one integer -1. Otherwise, print two non-negative integers x and y — the number of pens and pencils Polycarp should put in his pencilcase. If there are multiple answers, print any of them. Note that you don't have to minimize the number of writing implements (though their total number must not exceed k). Example Input 3 7 5 4 5 8 7 5 4 5 2 20 53 45 26 4 Output 7 1 -1 1 3 Note There are many different answers for the first test case; x = 7, y = 1 is only one of them. For example, x = 3, y = 1 is also correct. x = 1, y = 3 is the only correct answer for the third test case.
n = input() n = int(n) for i in range(0,n): l= input() a,b,c,d,k = l.split() a= int(a) b= int(b) c= int(c) d= int(d) k= int(k) if (a%c!=0): pens = int(a/c) + 1 else: pens = int(a/c) if (b%d!=0): pins = int(b/d) + 1 else: pins = int(b/d) if ((pins+pens)>k): print(-1) else: print(pens,pins)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int lists: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) lists = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(lists) == n return cls(n, lists) def __repr__(self): lists_str = '\n'.join(' '.join(map(str, lst)) for lst in self.lists) return str(self.n) + '\n' + lists_str + '\n'
3 7 5 4 5 8 7 5 4 5 2 20 53 45 26 4
O(n)
0
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389_A. Fox and Number Game
281
281_12
Fox Ciel is playing a game with numbers now. Ciel has n positive integers: x1, x2, ..., xn. She can do the following operation as many times as needed: select two different indexes i and j such that xi > xj hold, and then apply assignment xi = xi - xj. The goal is to make the sum of all numbers as small as possible. Please help Ciel to find this minimal sum. Input The first line contains an integer n (2 ≤ n ≤ 100). Then the second line contains n integers: x1, x2, ..., xn (1 ≤ xi ≤ 100). Output Output a single integer — the required minimal sum. Examples Input 2 1 2 Output 2 Input 3 2 4 6 Output 6 Input 2 12 18 Output 12 Input 5 45 12 27 30 18 Output 15 Note In the first example the optimal way is to do the assignment: x2 = x2 - x1. In the second example the optimal sequence of operations is: x3 = x3 - x2, x2 = x2 - x1.
n = eval(input()) no = list(map(eval,input().split())) while True: flag = False for i in no: if i<=0: continue for j in range(n): if no[j]>i: flag = True if no[j]%i == 0: no[j] = i else: no[j] = no[j]%i if flag == False: break # print(no) sum = 0 for i in no: sum += i print(int(sum))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
2 12 18
O(n**2)
0.000002
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389_A. Fox and Number Game
281
281_250
Fox Ciel is playing a game with numbers now. Ciel has n positive integers: x1, x2, ..., xn. She can do the following operation as many times as needed: select two different indexes i and j such that xi > xj hold, and then apply assignment xi = xi - xj. The goal is to make the sum of all numbers as small as possible. Please help Ciel to find this minimal sum. Input The first line contains an integer n (2 ≤ n ≤ 100). Then the second line contains n integers: x1, x2, ..., xn (1 ≤ xi ≤ 100). Output Output a single integer — the required minimal sum. Examples Input 2 1 2 Output 2 Input 3 2 4 6 Output 6 Input 2 12 18 Output 12 Input 5 45 12 27 30 18 Output 15 Note In the first example the optimal way is to do the assignment: x2 = x2 - x1. In the second example the optimal sequence of operations is: x3 = x3 - x2, x2 = x2 - x1.
#CF389A n,q=int(input()),0 import math for i in map(int,input().split()):q=math.gcd(q,i) print(q*n)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
2 12 18
O(n)
0.000001
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389_A. Fox and Number Game
281
281_138
Fox Ciel is playing a game with numbers now. Ciel has n positive integers: x1, x2, ..., xn. She can do the following operation as many times as needed: select two different indexes i and j such that xi > xj hold, and then apply assignment xi = xi - xj. The goal is to make the sum of all numbers as small as possible. Please help Ciel to find this minimal sum. Input The first line contains an integer n (2 ≤ n ≤ 100). Then the second line contains n integers: x1, x2, ..., xn (1 ≤ xi ≤ 100). Output Output a single integer — the required minimal sum. Examples Input 2 1 2 Output 2 Input 3 2 4 6 Output 6 Input 2 12 18 Output 12 Input 5 45 12 27 30 18 Output 15 Note In the first example the optimal way is to do the assignment: x2 = x2 - x1. In the second example the optimal sequence of operations is: x3 = x3 - x2, x2 = x2 - x1.
n = int(input()) x = list(sorted(map(int, input().split()))) def gcd(a, b): while b > 0: a, b = b, a % b return a tgcd = x.pop(0) for i in x: tgcd = gcd(tgcd, i) print(tgcd * n)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
2 12 18
O(nlogn)
0.000005
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1463_A. Dungeon
2870
2870_46
You are playing a new computer game in which you have to fight monsters. In a dungeon you are trying to clear, you met three monsters; the first of them has a health points, the second has b health points, and the third has c. To kill the monsters, you can use a cannon that, when fired, deals 1 damage to the selected monster. Every 7-th (i. e. shots with numbers 7, 14, 21 etc.) cannon shot is enhanced and deals 1 damage to all monsters, not just one of them. If some monster's current amount of health points is 0, it can't be targeted by a regular shot and does not receive damage from an enhanced shot. You want to pass the dungeon beautifully, i. e., kill all the monsters with the same enhanced shot (i. e. after some enhanced shot, the health points of each of the monsters should become equal to 0 for the first time). Each shot must hit a monster, i. e. each shot deals damage to at least one monster. Input The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases. Each test case consists of a single line that contains three integers a, b and c (1 ≤ a, b, c ≤ 10^8) — the number of health points each monster has. Output For each test case, print YES if you can kill all the monsters with the same enhanced shot. Otherwise, print NO. You may print each letter in any case (for example, YES, Yes, yes, yEs will all be recognized as positive answer). Example Input 3 3 2 4 1 1 1 10 1 7 Output YES NO NO Note In the first test case, you can do as follows: 1-th shot to the first monster, 2-th shot to the second monster, 3-th shot to the third monster, 4-th shot to the first monster, 5-th shot to the third monster, 6-th shot to the third monster, and 7-th enhanced shot will kill all the monsters. In the second test case, you can't kill monsters with the same enhanced shot, because the total number of health points of monsters is 3, and you will kill them in the first 3 shots.
n = int(input()) for i in range(n): s = list(map(int, input().split())) d = sum(s) if min(s) >= d // 9 and d % 9 == 0: print('YES') else: print('NO')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int values_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) values_list = [list(map(int, line.split(' '))) for line in lines[1:n+1]] assert len(values_list) == n return cls(n, values_list) def __repr__(self): values_str = '\n'.join([' '.join(map(str, values)) for values in self.values_list]) return str(self.n) + '\n' + values_str + '\n'
3 3 2 4 1 1 1 10 1 7
O(n*m)
0.000004
{ "public_tests": [ { "input": "3\n3 2 4\n1 1 1\n10 1 7\n", "output": "\nYES\nNO\nNO\n" } ], "private_tests": [ { "input": "1\n5999999 2000000 2000000\n", "output": "YES\n" }, { "input": "1\n3 9 15\n", "output": "YES\n" }, { "input": "1\n17 7 3\n", "output": "YES\n" }, { "input": "1\n9 3 15\n", "output": "YES\n" }, { "input": "1\n7 49 7\n", "output": "YES\n" }, { "input": "1\n2 14 2\n", "output": "YES\n" }, { "input": "1\n3 10 14\n", "output": "YES\n" }, { "input": "1\n3 8 16\n", "output": "YES\n" }, { "input": "1\n3 3 21\n", "output": "YES\n" }, { "input": "1\n14 2 2\n", "output": "YES\n" }, { "input": "2\n18 3 6\n2 2 14\n", "output": "YES\nYES\n" }, { "input": "1\n4 1 4\n", "output": "YES\n" }, { "input": "1\n3 15 9\n", "output": "YES\n" }, { "input": "1\n3 2 13\n", "output": "YES\n" }, { "input": "10\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n12 20 4\n", "output": "YES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\n" }, { "input": "1\n17 3 7\n", 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1463_A. Dungeon
2870
2870_71
You are playing a new computer game in which you have to fight monsters. In a dungeon you are trying to clear, you met three monsters; the first of them has a health points, the second has b health points, and the third has c. To kill the monsters, you can use a cannon that, when fired, deals 1 damage to the selected monster. Every 7-th (i. e. shots with numbers 7, 14, 21 etc.) cannon shot is enhanced and deals 1 damage to all monsters, not just one of them. If some monster's current amount of health points is 0, it can't be targeted by a regular shot and does not receive damage from an enhanced shot. You want to pass the dungeon beautifully, i. e., kill all the monsters with the same enhanced shot (i. e. after some enhanced shot, the health points of each of the monsters should become equal to 0 for the first time). Each shot must hit a monster, i. e. each shot deals damage to at least one monster. Input The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases. Each test case consists of a single line that contains three integers a, b and c (1 ≤ a, b, c ≤ 10^8) — the number of health points each monster has. Output For each test case, print YES if you can kill all the monsters with the same enhanced shot. Otherwise, print NO. You may print each letter in any case (for example, YES, Yes, yes, yEs will all be recognized as positive answer). Example Input 3 3 2 4 1 1 1 10 1 7 Output YES NO NO Note In the first test case, you can do as follows: 1-th shot to the first monster, 2-th shot to the second monster, 3-th shot to the third monster, 4-th shot to the first monster, 5-th shot to the third monster, 6-th shot to the third monster, and 7-th enhanced shot will kill all the monsters. In the second test case, you can't kill monsters with the same enhanced shot, because the total number of health points of monsters is 3, and you will kill them in the first 3 shots.
T = int(input()) for i in range(0, T) : a, b, c = input().split() a = int(a) b = int(b) c = int(c) Sum = a + b + c if Sum % 9 == 0 and Sum / 9 <= min(a, min(b, c)) : print("YES") else : print("NO")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int values_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) values_list = [list(map(int, line.split(' '))) for line in lines[1:n+1]] assert len(values_list) == n return cls(n, values_list) def __repr__(self): values_str = '\n'.join([' '.join(map(str, values)) for values in self.values_list]) return str(self.n) + '\n' + values_str + '\n'
3 3 2 4 1 1 1 10 1 7
O(n)
0
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"NO\n" }, { "input": "1\n120 94 4\n", "output": "NO\n" }, { "input": "1\n5 5 36\n", "output": "NO\n" }, { "input": "1\n6 25 16\n", "output": "NO\n" }, { "input": "1\n5 0 2\n", "output": "NO\n" }, { "input": "1\n14 0 9\n", "output": "NO\n" }, { "input": "1\n13 2 7\n", "output": "NO\n" }, { "input": "1\n9 0 8\n", "output": "NO\n" }, { "input": "1\n13 33 24\n", "output": "NO\n" }, { "input": "1\n1 9 2\n", "output": "NO\n" }, { "input": "1\n5 2 6\n", "output": "NO\n" }, { "input": "1\n1 1 8\n", "output": "NO\n" }, { "input": "1\n9 16 20\n", "output": "YES\n" }, { "input": "1\n12 3 6\n", "output": "NO\n" }, { "input": "1\n1 3 3\n", "output": "NO\n" }, { "input": "1\n7 1 3\n", "output": "NO\n" }, { "input": "1\n18 3 4\n", "output": "NO\n" }, { "input": "10\n24 95 98\n46 4 96\n82 82 90\n24 1 17\n19 10 62\n70 82 85\n64 19 24\n5 18 22\n56 17 13\n99 52 74\n", "output": "NO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nYES\n" }, { "input": "1\n4 6 5\n", "output": "NO\n" }, { "input": "1\n4 3 12\n", "output": "NO\n" }, { "input": "1\n0 5 0\n", "output": "NO\n" }, { "input": "2\n3 13 15\n5 3 1\n", "output": "NO\nYES\n" }, { "input": "1\n27 178 108\n", "output": "NO\n" }, { "input": "1\n35 8 2\n", "output": "NO\n" }, { "input": "1\n9 42 9\n", "output": "NO\n" }, { "input": "3\n17 11 1\n17 7 3\n17 8 4\n", "output": "NO\nYES\nNO\n" }, { "input": "1\n0 3 4\n", "output": "NO\n" }, { "input": "3\n3 5 4\n1 1 1\n10 1 7\n", "output": "NO\nNO\nNO\n" }, { "input": "1\n5999999 79824 2000000\n", "output": "NO\n" }, { "input": "1\n2 7 6\n", "output": "NO\n" }, { "input": "1\n8 6 5\n", "output": "NO\n" }, { "input": "1\n9 0 53\n", "output": "NO\n" }, { "input": "1\n8 2 7\n", "output": "NO\n" }, { "input": "1\n2 20 0\n", "output": "NO\n" }, { "input": "1\n6 9 16\n", "output": "NO\n" }, { "input": "1\n2 8 21\n", "output": "NO\n" }, { "input": "1\n5 0 21\n", "output": "NO\n" }, { "input": "1\n13 2 2\n", "output": "NO\n" }, { "input": "1\n1 2 4\n", "output": "NO\n" }, { "input": "1\n1 25 0\n", "output": "NO\n" }, { "input": "1\n5 1 13\n", "output": "NO\n" }, { "input": "1\n23 0 1\n", "output": "NO\n" }, { "input": "1\n6 4 9\n", "output": "NO\n" }, { "input": "2\n4 18 2\n9 3 5\n", "output": "NO\nNO\n" }, { "input": "1\n6 23 20\n", "output": "NO\n" }, { "input": "1\n12 2 4\n", "output": "YES\n" }, { "input": "1\n11 2 4\n", "output": "NO\n" }, { "input": "1\n2 3 42\n", "output": "NO\n" }, { "input": "1\n-1 0 11\n", "output": "NO\n" }, { "input": "1\n1 6 5\n", "output": "NO\n" }, { "input": "1\n1110101 2947146 6666666\n", "output": "NO\n" }, { "input": "1\n7 5 17\n", "output": "NO\n" }, { "input": "3\n3 4 2\n2 0 9\n3 4 20\n", "output": "YES\nNO\nYES\n" }, { "input": "1\n5 48 15\n", "output": "NO\n" }, { "input": "1\n6 5 6\n", "output": "NO\n" } ] }
[ 0.00005410254295509178, 0.00005111214069329109, 0.00005028434429632867, 0.00002110209373634178, 0.000020329396224868882, 0.00001866408728966346, 0.000018509689535074304, 0.00001796545401278409, 0.000016228266499125872, 0.000015890499508304198, 0.000014714541862434442, 0.000014470460896525349, 0.000014313169812609268, 0.00001396109380463287, 0.000013953157520214163, 0.000013801937172202798, 0.00001364029691597465, 0.000012915186407342657, 0.000012879293037041084, 0.000012790962617460663, 0.000012601432405485141, 0.000012328021907779721, 0.00001232115358664773, 1.1915127840909098e-8, 6.7123989291958134e-9, 4.788584462412589e-9, 4.028764204545456e-9, 3.747541520979025e-9, 3.6476862980769245e-9, 3.6322525131118877e-9, 3.2396129261363628e-9, 3.028122268356642e-9, 2.9655676354895123e-9, 2.9164117132867122e-9, 2.852477600524475e-9, 2.8177925590034962e-9, 2.7461142373251763e-9, 2.7042996066433565e-9, 2.639614291958041e-9, 2.609784746503496e-9, 2.578828398164335e-9, 2.4999317089160837e-9, 2.4612994427447567e-9, 2.3392427884615376e-9, 2.24350551791958e-9, 2.239237325174825e-9, 2.2098994755244758e-9, 2.1537983500874124e-9, 2.078739619755246e-9, 2.0171205747377593e-9, 1.9835623361013996e-9, 1.9755722792832143e-9, 1.8937459025349652e-9, 1.8375491695804213e-9, 1.8039294689685332e-9, 1.794225305944056e-9, 1.7626406796328674e-9, 1.7542203889860141e-9, 1.7117160183566417e-9, 1.6950393356643373e-9, 1.6530130026223776e-9, 1.652548623251747e-9, 1.620233282342656e-9, 1.5880203780594398e-9, 1.5583410729895114e-9, 1.1779119318181817e-9 ]
1409_C. Yet Another Array Restoration
794
794_215
We have a secret array. You don't know this array and you have to restore it. However, you know some facts about this array: * The array consists of n distinct positive (greater than 0) integers. * The array contains two elements x and y (these elements are known for you) such that x < y. * If you sort the array in increasing order (such that a_1 < a_2 < … < a_n), differences between all adjacent (consecutive) elements are equal (i.e. a_2 - a_1 = a_3 - a_2 = … = a_n - a_{n-1}). It can be proven that such an array always exists under the constraints given below. Among all possible arrays that satisfy the given conditions, we ask you to restore one which has the minimum possible maximum element. In other words, you have to minimize max(a_1, a_2, ..., a_n). You have to answer t independent test cases. Input The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow. The only line of the test case contains three integers n, x and y (2 ≤ n ≤ 50; 1 ≤ x < y ≤ 50) — the length of the array and two elements that are present in the array, respectively. Output For each test case, print the answer: n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the i-th element of the required array. If there are several answers, you can print any (it also means that the order of elements doesn't matter). It can be proven that such an array always exists under the given constraints. Example Input 5 2 1 49 5 20 50 6 20 50 5 3 8 9 13 22 Output 1 49 20 40 30 50 10 26 32 20 38 44 50 8 23 18 13 3 1 10 13 4 19 22 25 16 7
t=int(input()) for _ in range(t): n,x,y=list(map(int,input().split())) d=y-x for i in range(1,n): if (y-x)%i==0: d=min(d,(y-x)//i) ans=[] p=x while p<=y and n>0: ans.append(p) p=p+d n=n-1 if p>y: break p=x-d while p>0 and n>0: ans.append(p) p=p-d n=n-1 p=y+d while n>0: ans.append(p) p=p+d n=n-1 print(*ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List, Tuple @dataclass class Input: n: int data: List[Tuple[int, int, int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) data = [] for line in lines[1:]: if not line: continue row = tuple(int(x) for x in line.split(' ')) assert len(row) == 3 data.append(row) assert len(data) == n return cls(n, data) def __repr__(self): lines = [str(self.n)] for row in self.data: lines.append(' '.join(str(x) for x in row)) return '\n'.join(lines) + '\n'
5 2 1 49 5 20 50 6 20 50 5 3 8 9 13 22
O(n**2)
0.00007
{ "public_tests": [ { "input": "5\n2 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49\n10 20 30 40 50\n20 26 32 38 44 50\n3 8 13 18 23\n1 4 7 10 13 16 19 22 25\n" } ], "private_tests": [ { "input": "1\n2 1 49\n", "output": "1 49\n" }, { "input": "5\n2 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49\n10 20 30 40 50\n20 26 32 38 44 50\n3 8 13 18 23\n1 4 7 10 13 16 19 22 25\n" } ], "generated_tests": [ { "input": "1\n3 1 49\n", "output": "1 25 49 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n3 1 59\n", "output": "1 30 59 \n" }, { "input": "5\n4 1 25\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n6 20 50\n5 3 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n2 1 20\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 20 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 49\n5 20 55\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49 \n20 55 90 125 160 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 8\n9 13 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 20\n5 20 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 20 \n10 20 30 40 50 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 39 50\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n6 17 28 39 50 61 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n2 1 20\n5 19 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 20 \n19 50 81 112 143 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 5\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 1 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n1 8 15 22 29 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "1\n2 2 49\n", "output": "2 49 \n" }, { "input": "5\n4 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 17 33 49 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 49\n5 20 50\n6 20 67\n5 3 8\n9 13 22\n", "output": "1 49 \n10 20 30 40 50 \n20 67 114 161 208 255 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n3 1 35\n", "output": "1 18 35 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 3 8\n15 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 \n" }, { "input": "5\n4 1 25\n6 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 9 17 25 \n20 26 32 38 44 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 63\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 63 106 149 192 235 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 36 50\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n15 22 29 36 43 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 2 25\n5 20 50\n11 20 50\n5 3 8\n9 12 22\n", "output": "2 25 48 71 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n3 1 20\n5 19 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 20 39 \n19 50 81 112 143 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 51\n11 20 50\n5 1 5\n9 12 22\n", "output": "1 9 17 25 \n20 51 82 113 144 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n2 1 49\n5 20 50\n6 20 67\n3 3 8\n9 13 22\n", "output": "1 49 \n10 20 30 40 50 \n20 67 114 161 208 255 \n3 8 13 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n4 1 35\n", "output": "1 18 35 52 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 3 8\n29 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 \n" }, { "input": "5\n4 2 25\n6 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "2 25 48 71 \n20 26 32 38 44 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 63\n5 3 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0.00005857923695714109, 0.000058542211569287076, 0.000058373153455217295, 0.000058164732449084715, 0.00005791704998431606, 0.000057871342977763325, 0.0000576922224127958, 0.00005768374768985493, 0.00005755223106342935, 0.00005747117140686468, 0.000057468774979927426, 0.00005743730941698874, 0.000057428534520517196, 0.00005739096565358904, 0.00005713002697063792, 0.00005681337350247059, 0.000056755366610166075, 0.0000567447511863685, 0.000055703776533933454, 0.00005527066375914058, 0.00005420036454103583, 0.00005389726141546927, 0.000053656310786816274, 0.000052708262727741016, 0.000052571049077812535, 0.000052075503719542205, 0.00005161037556872304, 0.00005023871145561443, 0.00004953545481151921, 3.945649911115992e-7, 3.9179146987443316e-7, 2.1438925757493903e-7, 1.9023995976882592e-7, 1.5655085193360252e-7, 1.5458153566791108e-7, 1.340337659340403e-7, 3.920973557692307e-9, 6.597058441143518e-12, 5.7588558492856035e-12 ]
1409_C. Yet Another Array Restoration
794
794_794
We have a secret array. You don't know this array and you have to restore it. However, you know some facts about this array: * The array consists of n distinct positive (greater than 0) integers. * The array contains two elements x and y (these elements are known for you) such that x < y. * If you sort the array in increasing order (such that a_1 < a_2 < … < a_n), differences between all adjacent (consecutive) elements are equal (i.e. a_2 - a_1 = a_3 - a_2 = … = a_n - a_{n-1}). It can be proven that such an array always exists under the constraints given below. Among all possible arrays that satisfy the given conditions, we ask you to restore one which has the minimum possible maximum element. In other words, you have to minimize max(a_1, a_2, ..., a_n). You have to answer t independent test cases. Input The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow. The only line of the test case contains three integers n, x and y (2 ≤ n ≤ 50; 1 ≤ x < y ≤ 50) — the length of the array and two elements that are present in the array, respectively. Output For each test case, print the answer: n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the i-th element of the required array. If there are several answers, you can print any (it also means that the order of elements doesn't matter). It can be proven that such an array always exists under the given constraints. Example Input 5 2 1 49 5 20 50 6 20 50 5 3 8 9 13 22 Output 1 49 20 40 30 50 10 26 32 20 38 44 50 8 23 18 13 3 1 10 13 4 19 22 25 16 7
import sys input = sys.stdin.readline def solve(): n,x,y=map(int,input().split()) arr = [] for i in range(1,n): if (y-x)%i==0: step = (y-x)//i smol = x%step if smol == 0: smol+=step total = smol+step*(n-1) arr.append((max(total,y),step)) total,step = min(arr) print(*range(total-step*(n-1),total+1,step)) if __name__=="__main__": for _ in range(int(input())): solve()
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List, Tuple @dataclass class Input: n: int data: List[Tuple[int, int, int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) data = [] for line in lines[1:]: if not line: continue row = tuple(int(x) for x in line.split(' ')) assert len(row) == 3 data.append(row) assert len(data) == n return cls(n, data) def __repr__(self): lines = [str(self.n)] for row in self.data: lines.append(' '.join(str(x) for x in row)) return '\n'.join(lines) + '\n'
5 2 1 49 5 20 50 6 20 50 5 3 8 9 13 22
O(n)
0
{ "public_tests": [ { "input": "5\n2 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49\n10 20 30 40 50\n20 26 32 38 44 50\n3 8 13 18 23\n1 4 7 10 13 16 19 22 25\n" } ], "private_tests": [ { "input": "1\n2 1 49\n", "output": "1 49\n" }, { "input": "5\n2 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49\n10 20 30 40 50\n20 26 32 38 44 50\n3 8 13 18 23\n1 4 7 10 13 16 19 22 25\n" } ], "generated_tests": [ { "input": "1\n3 1 49\n", "output": "1 25 49 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n3 1 59\n", "output": "1 30 59 \n" }, { "input": "5\n4 1 25\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n6 20 50\n5 3 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n2 1 20\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 20 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 49\n5 20 55\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49 \n20 55 90 125 160 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 8\n9 13 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 20\n5 20 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 20 \n10 20 30 40 50 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 39 50\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n6 17 28 39 50 61 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n2 1 20\n5 19 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 20 \n19 50 81 112 143 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 5\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 1 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n1 8 15 22 29 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "1\n2 2 49\n", "output": "2 49 \n" }, { "input": "5\n4 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 17 33 49 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 49\n5 20 50\n6 20 67\n5 3 8\n9 13 22\n", "output": "1 49 \n10 20 30 40 50 \n20 67 114 161 208 255 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n3 1 35\n", "output": "1 18 35 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 3 8\n15 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 \n" }, { "input": "5\n4 1 25\n6 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 9 17 25 \n20 26 32 38 44 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 63\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 63 106 149 192 235 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 36 50\n5 3 8\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n15 22 29 36 43 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 2 25\n5 20 50\n11 20 50\n5 3 8\n9 12 22\n", "output": "2 25 48 71 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n3 1 20\n5 19 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 20 39 \n19 50 81 112 143 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 51\n11 20 50\n5 1 5\n9 12 22\n", "output": "1 9 17 25 \n20 51 82 113 144 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n2 1 49\n5 20 50\n6 20 67\n3 3 8\n9 13 22\n", "output": "1 49 \n10 20 30 40 50 \n20 67 114 161 208 255 \n3 8 13 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n4 1 35\n", "output": "1 18 35 52 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 3 8\n29 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 \n" }, { "input": "5\n4 2 25\n6 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "2 25 48 71 \n20 26 32 38 44 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 63\n5 3 16\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 63 106 149 192 235 \n3 16 29 42 55 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 2 25\n5 20 46\n11 20 50\n5 3 8\n9 12 22\n", "output": "2 25 48 71 \n7 20 33 46 59 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n3 1 25\n5 20 51\n11 20 50\n5 1 5\n9 12 22\n", "output": "1 13 25 \n20 51 82 113 144 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "1\n4 1 61\n", "output": "1 21 41 61 \n" }, { "input": "5\n2 1 25\n5 5 50\n6 20 50\n5 3 8\n29 13 22\n", "output": "1 25 \n5 20 35 50 65 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 \n" }, { "input": "5\n4 2 25\n6 20 50\n6 20 50\n5 3 11\n9 13 22\n", "output": "2 25 48 71 \n20 26 32 38 44 50 \n20 26 32 38 44 50 \n3 5 7 9 11 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 63\n5 3 16\n13 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 63 106 149 192 235 \n3 16 29 42 55 \n10 11 12 13 14 15 16 17 18 19 20 21 22 \n" }, { "input": "5\n3 1 25\n5 25 51\n11 20 50\n5 1 5\n9 12 22\n", "output": "1 13 25 \n12 25 38 51 64 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "1\n4 1 19\n", "output": "1 7 13 19 \n" }, { "input": "5\n4 1 25\n6 20 50\n6 20 50\n5 3 11\n9 13 22\n", "output": "1 9 17 25 \n20 26 32 38 44 50 \n20 26 32 38 44 50 \n3 5 7 9 11 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 63\n5 6 16\n13 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 63 106 149 192 235 \n1 6 11 16 21 \n10 11 12 13 14 15 16 17 18 19 20 21 22 \n" }, { "input": "5\n3 1 25\n5 25 51\n11 20 50\n5 1 5\n9 2 22\n", "output": "1 13 25 \n12 25 38 51 64 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n2 6 10 14 18 22 26 30 34 \n" }, { "input": "5\n2 1 25\n5 5 50\n2 20 50\n5 3 8\n29 9 22\n", "output": "1 25 \n5 20 35 50 65 \n20 50 \n3 8 13 18 23 \n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 \n" }, { "input": "5\n4 1 25\n6 20 50\n6 20 62\n5 3 11\n9 13 22\n", "output": "1 9 17 25 \n20 26 32 38 44 50 \n6 20 34 48 62 76 \n3 5 7 9 11 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 25\n5 7 50\n2 20 50\n5 3 8\n29 9 22\n", "output": "1 25 \n7 50 93 136 179 \n20 50 \n3 8 13 18 23 \n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 \n" }, { "input": "5\n4 1 25\n6 20 50\n12 20 62\n5 3 11\n9 13 22\n", "output": "1 9 17 25 \n20 26 32 38 44 50 \n2 8 14 20 26 32 38 44 50 56 62 68 \n3 5 7 9 11 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n6 27 50\n12 20 62\n5 3 11\n9 1 22\n", "output": "1 9 17 25 \n4 27 50 73 96 119 \n2 8 14 20 26 32 38 44 50 56 62 68 \n3 5 7 9 11 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n6 27 50\n23 20 62\n5 3 11\n9 1 22\n", "output": "1 9 17 25 \n4 27 50 73 96 119 \n18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 \n3 5 7 9 11 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n6 27 50\n23 20 62\n5 3 11\n9 1 23\n", "output": "1 9 17 25 \n4 27 50 73 96 119 \n18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 \n3 5 7 9 11 \n1 12 23 34 45 56 67 78 89 \n" }, { "input": "5\n4 1 25\n6 27 50\n32 20 62\n5 3 11\n9 1 23\n", "output": "1 9 17 25 \n4 27 50 73 96 119 \n2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 \n3 5 7 9 11 \n1 12 23 34 45 56 67 78 89 \n" }, { "input": "5\n4 1 5\n6 27 50\n32 20 62\n5 3 11\n9 1 23\n", "output": "1 3 5 7 \n4 27 50 73 96 119 \n2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 \n3 5 7 9 11 \n1 12 23 34 45 56 67 78 89 \n" }, { "input": "5\n4 1 5\n6 27 50\n32 20 62\n5 2 11\n9 1 23\n", "output": "1 3 5 7 \n4 27 50 73 96 119 \n2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 \n2 5 8 11 14 \n1 12 23 34 45 56 67 78 89 \n" }, { "input": "5\n4 1 5\n6 27 50\n32 20 62\n8 2 11\n9 1 23\n", "output": "1 3 5 7 \n4 27 50 73 96 119 \n2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 \n2 5 8 11 14 17 20 23 \n1 12 23 34 45 56 67 78 89 \n" }, { "input": "5\n3 1 49\n5 20 50\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 25 49 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n3 1 63\n", "output": "1 32 63 \n" }, { "input": "5\n2 1 25\n5 20 50\n6 20 50\n5 2 8\n9 13 22\n", "output": "1 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n2 4 6 8 10 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "1\n6 1 59\n", "output": "1 30 59 88 117 146 \n" }, { "input": "5\n4 1 25\n5 20 50\n6 20 50\n5 3 8\n9 9 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 8 13 18 23 \n9 22 35 48 61 74 87 100 113 \n" }, { "input": "5\n2 1 49\n10 20 55\n6 20 50\n5 3 8\n9 13 22\n", "output": "1 49 \n10 15 20 25 30 35 40 45 50 55 \n20 26 32 38 44 50 \n3 8 13 18 23 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n2 1 26\n5 20 50\n6 20 50\n5 3 15\n9 13 22\n", "output": "1 26 \n10 20 30 40 50 \n20 26 32 38 44 50 \n3 6 9 12 15 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 15\n9 13 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 6 9 12 15 \n1 4 7 10 13 16 19 22 25 \n" }, { "input": "5\n4 1 25\n3 20 50\n11 20 50\n5 3 8\n9 12 22\n", "output": "1 9 17 25 \n20 35 50 \n20 23 26 29 32 35 38 41 44 47 50 \n3 8 13 18 23 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n5 3 5\n9 2 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n1 2 3 4 5 \n2 6 10 14 18 22 26 30 34 \n" }, { "input": "5\n4 1 25\n5 20 50\n11 20 50\n3 1 5\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 23 26 29 32 35 38 41 44 47 50 \n1 3 5 \n6 8 10 12 14 16 18 20 22 \n" }, { "input": "5\n4 1 25\n5 20 50\n6 20 50\n5 1 8\n9 12 22\n", "output": "1 9 17 25 \n10 20 30 40 50 \n20 26 32 38 44 50 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1206_B. Make Product Equal One
499
499_359
You are given n numbers a_1, a_2, ..., a_n. With a cost of one coin you can perform the following operation: Choose one of these numbers and add or subtract 1 from it. In particular, we can apply this operation to the same number several times. We want to make the product of all these numbers equal to 1, in other words, we want a_1 ⋅ a_2 ... ⋅ a_n = 1. For example, for n = 3 and numbers [1, -3, 0] we can make product equal to 1 in 3 coins: add 1 to second element, add 1 to second element again, subtract 1 from third element, so that array becomes [1, -1, -1]. And 1⋅ (-1) ⋅ (-1) = 1. What is the minimum cost we will have to pay to do that? Input The first line contains a single integer n (1 ≤ n ≤ 10^5) — the number of numbers. The second line contains n integers a_1, a_2, ..., a_n (-10^9 ≤ a_i ≤ 10^9) — the numbers. Output Output a single number — the minimal number of coins you need to pay to make the product equal to 1. Examples Input 2 -1 1 Output 2 Input 4 0 0 0 0 Output 4 Input 5 -5 -3 5 3 0 Output 13 Note In the first example, you can change 1 to -1 or -1 to 1 in 2 coins. In the second example, you have to apply at least 4 operations for the product not to be 0. In the third example, you can change -5 to -1 in 4 coins, -3 to -1 in 2 coins, 5 to 1 in 4 coins, 3 to 1 in 2 coins, 0 to 1 in 1 coin.
n = input() #the number of numbers a = list(map(int, input().split())) #the numbers answer = 0 #initial value of answer cnt_minus = 0 #the number of (-) cnt_0 = 0 #the number of 0 for i in a: if i<0: answer +=abs(i+1) cnt_minus += 1 if i==0: answer += 1 cnt_0 += 1 if i>0: answer +=abs(i-1) if cnt_0 == 0: if cnt_minus%2 == 0: print(answer) else: print(answer+2) else: print(answer)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join(map(str, self.a_list)) + '\n'
5 -5 -3 5 3 0
O(n)
0.000005
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1206_B. Make Product Equal One
499
499_82
You are given n numbers a_1, a_2, ..., a_n. With a cost of one coin you can perform the following operation: Choose one of these numbers and add or subtract 1 from it. In particular, we can apply this operation to the same number several times. We want to make the product of all these numbers equal to 1, in other words, we want a_1 ⋅ a_2 ... ⋅ a_n = 1. For example, for n = 3 and numbers [1, -3, 0] we can make product equal to 1 in 3 coins: add 1 to second element, add 1 to second element again, subtract 1 from third element, so that array becomes [1, -1, -1]. And 1⋅ (-1) ⋅ (-1) = 1. What is the minimum cost we will have to pay to do that? Input The first line contains a single integer n (1 ≤ n ≤ 10^5) — the number of numbers. The second line contains n integers a_1, a_2, ..., a_n (-10^9 ≤ a_i ≤ 10^9) — the numbers. Output Output a single number — the minimal number of coins you need to pay to make the product equal to 1. Examples Input 2 -1 1 Output 2 Input 4 0 0 0 0 Output 4 Input 5 -5 -3 5 3 0 Output 13 Note In the first example, you can change 1 to -1 or -1 to 1 in 2 coins. In the second example, you have to apply at least 4 operations for the product not to be 0. In the third example, you can change -5 to -1 in 4 coins, -3 to -1 in 2 coins, 5 to 1 in 4 coins, 3 to 1 in 2 coins, 0 to 1 in 1 coin.
n=int(input()) a=list(map(int,input().split())) a.sort() ans=0 for i in range(0,n-1,2): ans+=min(abs(-1-a[i+1])+abs(-1-a[i]),abs(1-a[i+1])+abs(1-a[i])) if (n%2==1): ans+=abs(1-a[n-1]) print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join(map(str, self.a_list)) + '\n'
5 -5 -3 5 3 0
O(nlogn)
0.000015
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1234_B1. Social Network (easy version)
64
64_609
The only difference between easy and hard versions are constraints on n and k. You are messaging in one of the popular social networks via your smartphone. Your smartphone can show at most k most recent conversations with your friends. Initially, the screen is empty (i.e. the number of displayed conversations equals 0). Each conversation is between you and some of your friends. There is at most one conversation with any of your friends. So each conversation is uniquely defined by your friend. You (suddenly!) have the ability to see the future. You know that during the day you will receive n messages, the i-th message will be received from the friend with ID id_i (1 ≤ id_i ≤ 10^9). If you receive a message from id_i in the conversation which is currently displayed on the smartphone then nothing happens: the conversations of the screen do not change and do not change their order, you read the message and continue waiting for new messages. Otherwise (i.e. if there is no conversation with id_i on the screen): * Firstly, if the number of conversations displayed on the screen is k, the last conversation (which has the position k) is removed from the screen. * Now the number of conversations on the screen is guaranteed to be less than k and the conversation with the friend id_i is not displayed on the screen. * The conversation with the friend id_i appears on the first (the topmost) position on the screen and all the other displayed conversations are shifted one position down. Your task is to find the list of conversations (in the order they are displayed on the screen) after processing all n messages. Input The first line of the input contains two integers n and k (1 ≤ n, k ≤ 200) — the number of messages and the number of conversations your smartphone can show. The second line of the input contains n integers id_1, id_2, ..., id_n (1 ≤ id_i ≤ 10^9), where id_i is the ID of the friend which sends you the i-th message. Output In the first line of the output print one integer m (1 ≤ m ≤ min(n, k)) — the number of conversations shown after receiving all n messages. In the second line print m integers ids_1, ids_2, ..., ids_m, where ids_i should be equal to the ID of the friend corresponding to the conversation displayed on the position i after receiving all n messages. Examples Input 7 2 1 2 3 2 1 3 2 Output 2 2 1 Input 10 4 2 3 3 1 1 2 1 2 3 3 Output 3 1 3 2 Note In the first example the list of conversations will change in the following way (in order from the first to last message): * []; * [1]; * [2, 1]; * [3, 2]; * [3, 2]; * [1, 3]; * [1, 3]; * [2, 1]. In the second example the list of conversations will change in the following way: * []; * [2]; * [3, 2]; * [3, 2]; * [1, 3, 2]; * and then the list will not change till the end.
n, k = map(int, input().split()) a = [0] * k l = 0 curr = set() ids = map(int, input().split()) for id in ids: if id not in curr: curr.add(id) if a[-1] != 0: curr.remove(a[-1]) a[1:] = a[:-1] a[0] = id l = min(l + 1, k) print(l) print(' '.join(map(str, a[:l])))
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10 4 2 3 3 1 1 2 1 2 3 3
O(n**2)
0.000203
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1234_B1. Social Network (easy version)
64
64_1063
The only difference between easy and hard versions are constraints on n and k. You are messaging in one of the popular social networks via your smartphone. Your smartphone can show at most k most recent conversations with your friends. Initially, the screen is empty (i.e. the number of displayed conversations equals 0). Each conversation is between you and some of your friends. There is at most one conversation with any of your friends. So each conversation is uniquely defined by your friend. You (suddenly!) have the ability to see the future. You know that during the day you will receive n messages, the i-th message will be received from the friend with ID id_i (1 ≤ id_i ≤ 10^9). If you receive a message from id_i in the conversation which is currently displayed on the smartphone then nothing happens: the conversations of the screen do not change and do not change their order, you read the message and continue waiting for new messages. Otherwise (i.e. if there is no conversation with id_i on the screen): * Firstly, if the number of conversations displayed on the screen is k, the last conversation (which has the position k) is removed from the screen. * Now the number of conversations on the screen is guaranteed to be less than k and the conversation with the friend id_i is not displayed on the screen. * The conversation with the friend id_i appears on the first (the topmost) position on the screen and all the other displayed conversations are shifted one position down. Your task is to find the list of conversations (in the order they are displayed on the screen) after processing all n messages. Input The first line of the input contains two integers n and k (1 ≤ n, k ≤ 200) — the number of messages and the number of conversations your smartphone can show. The second line of the input contains n integers id_1, id_2, ..., id_n (1 ≤ id_i ≤ 10^9), where id_i is the ID of the friend which sends you the i-th message. Output In the first line of the output print one integer m (1 ≤ m ≤ min(n, k)) — the number of conversations shown after receiving all n messages. In the second line print m integers ids_1, ids_2, ..., ids_m, where ids_i should be equal to the ID of the friend corresponding to the conversation displayed on the position i after receiving all n messages. Examples Input 7 2 1 2 3 2 1 3 2 Output 2 2 1 Input 10 4 2 3 3 1 1 2 1 2 3 3 Output 3 1 3 2 Note In the first example the list of conversations will change in the following way (in order from the first to last message): * []; * [1]; * [2, 1]; * [3, 2]; * [3, 2]; * [1, 3]; * [1, 3]; * [2, 1]. In the second example the list of conversations will change in the following way: * []; * [2]; * [3, 2]; * [3, 2]; * [1, 3, 2]; * and then the list will not change till the end.
from collections import deque n,k=map(int,input().split()) inp=list(map(int,input().split())) listt=deque() dictt={} for i in inp: dictt[i]=False for i in inp: if len(listt)<k: if dictt[i]==False: listt.appendleft(i) # listt=[i]+listt dictt[i]=True if len(listt)==k: if dictt[i]==False: dictt[i]=True dictt[listt[-1]]=False # listt=[i]+listt listt.appendleft(i) # listt=listt[:-1] listt.pop() # print(listt) # print(dictt) print(len(listt)) print(*listt)
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10 4 2 3 3 1 1 2 1 2 3 3
O(n)
0.00002
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p03388 AtCoder Beginner Contest 093 - Worst Case
810
810_131
10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
q=int(input()) ab=[list(map(int,input().split())) for _ in range(q)] from math import floor for a,b in ab: if a==b: print(2*a-2) continue t=floor((a*b)**0.5) # t,t+1 組み合わせの積がa*bで抑えられているかどうか if t*t>=a*b: # t*tもだめ print(2*t-3) elif t*(t+1)>=a*b: # t*(t+1)はだめ print(2*t-2) else: # t*tもt*(t+1)もOK print(2*t-1)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int pairs: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) pairs = [[int(x) for x in line.split(' ')] for line in lines[1:n+1]] assert len(pairs) == n return cls(n, pairs) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join([str(x) for x in pair]) for pair in self.pairs]) + '\n'
8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323
O(n)
0.000052
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p03388 AtCoder Beginner Contest 093 - Worst Case
810
810_98
10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
q=int(input()) def check(t,a,b): k=(2*a+t)//2 return k*(2*a+t-k)<a*b for i in range(q): a,b=sorted(map(int,input().split())) if a==b or a==b-1: print(2*a-2) continue l,r=1,b-a while l+1<r: t=(l+r)//2 if check(t,a,b): l=t else: r=t if check(r,a,b): print(2*a-2+r) elif check(l,a,b): print(2*a-2+l) else: print(2*a-1)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int pairs: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) pairs = [[int(x) for x in line.split(' ')] for line in lines[1:n+1]] assert len(pairs) == n return cls(n, pairs) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join([str(x) for x in pair]) for pair in self.pairs]) + '\n'
8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323
O(nlogn)
0.000036
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1228_A. Distinct Digits
2892
2892_1216
You have two integers l and r. Find an integer x which satisfies the conditions below: * l ≤ x ≤ r. * All digits of x are different. If there are multiple answers, print any of them. Input The first line contains two integers l and r (1 ≤ l ≤ r ≤ 10^{5}). Output If an answer exists, print any of them. Otherwise, print -1. Examples Input 121 130 Output 123 Input 98766 100000 Output -1 Note In the first example, 123 is one of the possible answers. However, 121 can't be the answer, because there are multiple 1s on different digits. In the second example, there is no valid answer.
x,y=map(int,input().split()) for i in range(x,y+1,1): l=[] temp=i while temp>0: r=temp%10 l.append(r) temp=temp//10 s=set(l) a=len(s) b=len(l) if a==b: print(i) break if a!=b: print('-1')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: """Class to represent the input data.""" a: int b: int @classmethod def from_str(cls, input_: str): """ Parse the input string format and return an instance of `Input`. Args: input_ (str): The input string in the standard format. Returns: Input: An instance of `Input`. """ a, b = input_.split('\n')[0].split(' ') a = int(a) b = int(b) return cls(a, b) def __repr__(self): """ Return the parsed input in input string format. Returns: str: The parsed input in input string format. """ return str(self.a) + ' ' + str(self.b) + '\n'
98766 100000
O(n**2)
0.000001
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1228_A. Distinct Digits
2892
2892_914
You have two integers l and r. Find an integer x which satisfies the conditions below: * l ≤ x ≤ r. * All digits of x are different. If there are multiple answers, print any of them. Input The first line contains two integers l and r (1 ≤ l ≤ r ≤ 10^{5}). Output If an answer exists, print any of them. Otherwise, print -1. Examples Input 121 130 Output 123 Input 98766 100000 Output -1 Note In the first example, 123 is one of the possible answers. However, 121 can't be the answer, because there are multiple 1s on different digits. In the second example, there is no valid answer.
a,b=map(int,input().split()) r=[] flag=0 for i in range(a,b+1): tmp=i r=[int(d) for d in str(i)] s=set(r) if(len(r)==len(s)): flag=1 break if(flag): print(tmp) else: print("-1")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: """Class to represent the input data.""" a: int b: int @classmethod def from_str(cls, input_: str): """ Parse the input string format and return an instance of `Input`. Args: input_ (str): The input string in the standard format. Returns: Input: An instance of `Input`. """ a, b = input_.split('\n')[0].split(' ') a = int(a) b = int(b) return cls(a, b) def __repr__(self): """ Return the parsed input in input string format. Returns: str: The parsed input in input string format. """ return str(self.a) + ' ' + str(self.b) + '\n'
98766 100000
O(n)
0.000314
{ "public_tests": [ { "input": "98766 100000\n", "output": "-1\n" }, { "input": "121 130\n", "output": "123\n" } ], "private_tests": [ { "input": "10 10\n", "output": "10\n" }, { "input": "25139 86116\n", "output": "25139\n" }, { "input": "23452 23456\n", "output": "23456\n" }, { "input": "8563 90197\n", "output": "8563\n" }, { "input": "25610 80988\n", "output": "25610\n" }, { "input": "111 121\n", "output": "120\n" }, { "input": "999 1002\n", "output": "-1\n" }, { "input": "5 5\n", "output": "5\n" }, { "input": "76330 80769\n", "output": "76340\n" }, { "input": "112 112\n", "output": "-1\n" }, { "input": "47142 47149\n", "output": "-1\n" }, { "input": "99 101\n", "output": "-1\n" }, { "input": "1 1\n", "output": "1\n" }, { "input": "9878 9999\n", "output": "-1\n" }, { "input": "22 22\n", "output": "-1\n" }, { "input": "99 1000\n", "output": "102\n" }, { "input": "1 100000\n", "output": "1\n" } ], "generated_tests": [ { "input": "7 10\n", "output": "7\n" }, { "input": "27525 86116\n", "output": "27530\n" }, { "input": "23452 43686\n", "output": "23456\n" }, { "input": "8729 90197\n", "output": "8729\n" }, { "input": "25610 59397\n", "output": "25610\n" }, { "input": "101 121\n", "output": "102\n" }, { "input": "9 112\n", "output": "9\n" }, { "input": "47142 57545\n", "output": "47150\n" }, { "input": "0 1\n", "output": "0\n" }, { "input": "1 100010\n", "output": "1\n" }, { "input": "98766 110000\n", "output": "102345\n" }, { "input": "121 141\n", "output": "123\n" }, { "input": "38912 86116\n", "output": "38912\n" }, { "input": "4185 90197\n", "output": "4185\n" }, { "input": "18449 57545\n", "output": "18450\n" }, { "input": "78 1001\n", "output": "78\n" }, { "input": "2 100010\n", "output": "2\n" }, { "input": "33426 60048\n", "output": "34012\n" }, { "input": "3049 90197\n", "output": "3049\n" }, { "input": "3 191\n", "output": "3\n" }, { "input": "152 160\n", "output": "152\n" }, { "input": "72073 145777\n", "output": "72081\n" }, { "input": "4228 90197\n", "output": "4230\n" }, { "input": "11097 145777\n", "output": "12034\n" }, { "input": "4191 90197\n", "output": "4192\n" }, { "input": "49951 59374\n", "output": "50123\n" }, { "input": "6 39\n", "output": "6\n" }, { "input": "1767 59374\n", "output": "1768\n" }, { "input": "562 59374\n", "output": "562\n" }, { "input": "700 59374\n", "output": "701\n" }, { "input": "910 59374\n", "output": "910\n" }, { "input": "1339 59374\n", "output": "1340\n" }, { "input": "806 17526\n", "output": "806\n" }, { "input": "4 001111\n", "output": "4\n" }, { "input": "8 7092\n", "output": "8\n" }, { "input": "10 001101\n", "output": "10\n" }, { "input": "99 111\n", "output": "102\n" }, { "input": "99 1001\n", "output": "102\n" }, { "input": "23452 60048\n", "output": "23456\n" }, { "input": "25610 35660\n", "output": "25610\n" }, { "input": "9 191\n", "output": "9\n" }, { "input": "0 0\n", "output": "0\n" }, { "input": "98766 110010\n", "output": "102345\n" }, { "input": "121 160\n", "output": "123\n" }, { "input": "38912 145777\n", "output": "38912\n" }, { "input": "25610 64209\n", "output": "25610\n" }, { "input": "18449 59273\n", "output": "18450\n" }, { "input": "1 110010\n", "output": "1\n" }, { "input": "33426 44116\n", "output": "34012\n" }, { "input": "25610 59374\n", "output": "25610\n" }, { "input": "3 39\n", "output": "3\n" }, { "input": "0 110010\n", "output": "0\n" }, { "input": "33426 67348\n", "output": "34012\n" }, { "input": "1 111010\n", "output": "1\n" }, { "input": "11097 157931\n", "output": "12034\n" }, { "input": "33426 71451\n", "output": "34012\n" }, { "input": "4191 65352\n", "output": "4192\n" }, { "input": "6 25\n", "output": "6\n" }, { "input": "1 111110\n", "output": "1\n" }, { "input": "11097 53980\n", "output": "12034\n" }, { "input": "4191 7122\n", "output": "4192\n" }, { "input": "0 25\n", "output": "0\n" }, { "input": "1 110110\n", "output": "1\n" }, { "input": "11097 75141\n", "output": "12034\n" }, { "input": "0 41\n", "output": "0\n" }, { "input": "1 011110\n", "output": "1\n" }, { "input": "11097 28810\n", "output": "12034\n" }, { "input": "0 10\n", "output": "0\n" }, { "input": "1 001110\n", "output": "1\n" }, { "input": "11097 51224\n", "output": "12034\n" }, { "input": "1 001010\n", "output": "1\n" }, { "input": "11097 12307\n", "output": "12034\n" }, { "input": "1339 58757\n", "output": "1340\n" }, { "input": "2 001110\n", "output": "2\n" }, { "input": "1339 17526\n", "output": "1340\n" }, { "input": "2 001111\n", "output": "2\n" }, { "input": "806 7092\n", "output": "806\n" }, { "input": "4 000111\n", "output": "4\n" }, { "input": "4 000101\n", "output": "4\n" }, { "input": "1 7092\n", "output": "1\n" }, { "input": "8 000101\n", "output": "8\n" }, { "input": "1 5535\n", "output": "1\n" }, { "input": "8 001101\n", "output": "8\n" }, { "input": "1 5424\n", "output": "1\n" } ] }
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1203_F1. Complete the Projects (easy version)
2128
2128_34
The only difference between easy and hard versions is that you should complete all the projects in easy version but this is not necessary in hard version. Polycarp is a very famous freelancer. His current rating is r units. Some very rich customers asked him to complete some projects for their companies. To complete the i-th project, Polycarp needs to have at least a_i units of rating; after he completes this project, his rating will change by b_i (his rating will increase or decrease by b_i) (b_i can be positive or negative). Polycarp's rating should not fall below zero because then people won't trust such a low rated freelancer. Is it possible to complete all the projects? Formally, write a program to check if such an order of the projects exists, that Polycarp has enough rating before starting each project, and he has non-negative rating after completing each project. In other words, you have to check that there exists such an order of projects in which Polycarp will complete them, so he has enough rating before starting each project, and has non-negative rating after completing each project. Input The first line of the input contains two integers n and r (1 ≤ n ≤ 100, 1 ≤ r ≤ 30000) — the number of projects and the initial rating of Polycarp, respectively. The next n lines contain projects, one per line. The i-th project is represented as a pair of integers a_i and b_i (1 ≤ a_i ≤ 30000, -300 ≤ b_i ≤ 300) — the rating required to complete the i-th project and the rating change after the project completion. Output Print "YES" or "NO". Examples Input 3 4 4 6 10 -2 8 -1 Output YES Input 3 5 4 -5 4 -2 1 3 Output YES Input 4 4 5 2 5 -3 2 1 4 -2 Output YES Input 3 10 10 0 10 -10 30 0 Output NO Note In the first example, the possible order is: 1, 2, 3. In the second example, the possible order is: 2, 3, 1. In the third example, the possible order is: 3, 1, 4, 2.
n,r=map(int,input().split()) a=[list(map(int,input().split())) for i in range(n)] pos = [] neg = [] ans=0 for x in a: if x[1]>0: pos.append(x) else: neg.append(x) pos.sort(key=lambda k: k[0]) flag=True for x in pos: if r>=x[0]: r+=x[1] ans+=1 neg.sort(key=lambda i: i[0]+i[1],reverse=True) arr=[0]*(r+1) for i in range(len(neg)): for j in range(neg[i][0],r+1): if j+neg[i][1]>=0: arr[j+neg[i][1]]=max(arr[j+neg[i][1]],arr[j]+1) ans+=max(arr) print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int m: int data_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.strip().split('\n') n, m = map(int, lines[0].split()) data_list = [list(map(int, line.split())) for line in lines[1:]] assert len(data_list) == n assert all(len(data) == 2 for data in data_list) return cls(n, m, data_list) def __repr__(self): lines = [f"{self.n} {self.m}"] lines.extend(f"{x} {y}" for x, y in self.data_list) return "\n".join(lines) + "\n"
3 5 4 -5 4 -2 1 3
O(n**2)
0.000013
{ "public_tests": [ { "input": "3 5\n4 -5\n4 -2\n1 3\n", "output": "YES\n" }, { "input": "3 4\n4 6\n10 -2\n8 -1\n", "output": "YES\n" }, { "input": "3 10\n10 0\n10 -10\n30 0\n", "output": "NO\n" }, { "input": "4 4\n5 2\n5 -3\n2 1\n4 -2\n", "output": "YES\n" } ], "private_tests": [ { "input": "2 10\n10 -1\n10 -1\n", "output": "NO\n" }, { "input": "11 1\n6 -8\n4 11\n5 -10\n5 2\n8 7\n9 -1\n7 -10\n3 -10\n2 6\n3 4\n7 8\n", "output": "NO\n" }, { "input": "50 1000\n48 74\n684 197\n134 237\n37 -20\n79 37\n197 -212\n370 54\n577 -195\n329 -50\n963 -81\n85 135\n365 93\n293 -178\n503 -31\n126 -136\n709 -52\n118 153\n19 -260\n305 -260\n619 -35\n72 29\n352 163\n366 -175\n1186 101\n147 268\n235 -225\n591 195\n317 57\n102 244\n255 -204\n135 -21\n9 296\n164 185\n310 -70\n168 -212\n712 24\n299 -224\n401 193\n98 117\n168 -217\n476 -76\n273 -135\n45 61\n55 -40\n1137 84\n278 -89\n120 184\n105 265\n414 152\n69 204\n", "output": "YES\n" }, { "input": "17 3\n12 -6\n7 -8\n14 -2\n4 -5\n8 0\n7 9\n17 -12\n10 -4\n2 -8\n16 -14\n4 1\n8 4\n14 -15\n3 13\n17 -1\n9 8\n11 -9\n", "output": "NO\n" }, { "input": "50 30000\n287 135\n119 48\n148 -252\n20 123\n16 16\n63 -232\n452 -25\n716 280\n367 165\n623 244\n247 249\n105 -61\n59 251\n1201 -266\n67 -298\n666 -216\n206 -91\n95 -229\n768 -229\n338 146\n194 271\n52 -252\n442 -68\n203 80\n314 99\n375 -120\n190 -286\n177 269\n343 264\n98 172\n688 -51\n76 -138\n98 -114\n591 172\n9 -27\n1137 -195\n372 273\n623 -11\n190 -265\n1 -17\n132 159\n141 -38\n103 45\n291 -162\n175 85\n125 -143\n124 -87\n182 173\n3 -259\n320 -70\n", "output": "YES\n" }, { "input": "3 10\n7 6\n9 -13\n4 -3\n", "output": "YES\n" }, { "input": "56 15\n2 -20\n9 14\n33 14\n18 -29\n36 -32\n13 -32\n19 26\n18 -4\n8 -32\n25 -32\n20 -9\n34 -14\n4 -1\n7 -12\n32 -36\n30 -30\n10 -35\n17 -18\n11 -32\n30 -7\n25 30\n1 -11\n13 -6\n15 -1\n38 29\n19 -23\n38 -2\n2 10\n36 23\n12 -28\n36 -38\n15 -33\n25 -34\n7 2\n38 -13\n16 -5\n5 -37\n1 -24\n15 -36\n6 -8\n23 22\n31 13\n37 29\n8 0\n14 28\n34 -30\n24 31\n20 -16\n1 -21\n12 24\n8 -15\n21 16\n4 12\n11 8\n7 -10\n17 -10\n", "output": "NO\n" }, { "input": "1 1\n1 0\n", "output": "YES\n" }, { "input": "20 15000\n61 65\n160 -175\n40 -283\n285 278\n58 -298\n3 20\n232 146\n226 -97\n349 37\n462 -37\n372 13\n1949 -122\n58 233\n306 -29\n327 -213\n306 134\n136 259\n398 101\n794 -90\n613 232\n", "output": "YES\n" }, { "input": "6 104\n100 -99\n99 -1\n98 -1\n97 -1\n96 -1\n95 -1\n", "output": "NO\n" }, { "input": "20 30000\n29682 295\n29376 294\n29917 298\n29992 296\n29841 298\n29984 297\n29986 298\n29728 293\n29986 285\n29862 300\n29533 300\n29685 291\n29217 292\n28980 295\n29941 295\n29854 298\n29937 294\n29907 295\n29978 300\n29927 295\n", "output": "YES\n" }, { "input": "52 276\n303 6\n222 -6\n28 0\n93 6\n96 7\n223 0\n154 -4\n309 -7\n329 6\n94 3\n11 -3\n126 0\n210 2\n101 7\n154 4\n54 6\n33 5\n324 -4\n86 5\n220 -2\n137 -1\n49 -4\n109 6\n107 4\n270 2\n209 -2\n235 -5\n39 1\n110 5\n116 4\n155 1\n37 -1\n193 0\n356 -1\n320 -6\n261 -7\n316 6\n137 2\n165 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"output": "NO\n" }, { "input": "19 11\n12 -10\n17 -18\n8 15\n5 4\n16 -6\n11 9\n10 -2\n2 -6\n8 -10\n8 -8\n8 13\n3 -12\n18 -11\n3 19\n16 19\n12 8\n15 4\n8 -16\n18 -14\n", "output": "NO\n" }, { "input": "20 30000\n636 -231\n284 -28\n154 -175\n90 -127\n277 159\n272 -87\n136 -253\n233 181\n488 275\n56 -90\n280 132\n340 12\n151 117\n150 -232\n92 -284\n328 -113\n248 -53\n99 211\n609 166\n13 -35\n", "output": "YES\n" }, { "input": "20 1000\n543 293\n215 297\n472 294\n8 295\n74 295\n183 300\n205 296\n361 290\n129 300\n237 298\n494 299\n798 299\n324 297\n37 294\n195 287\n164 295\n90 292\n6 299\n1486 299\n533 291\n", "output": "YES\n" }, { "input": "3 100\n96 -50\n50 -2\n50 -2\n", "output": "YES\n" }, { "input": "13 11\n11 -7\n9 -11\n12 8\n12 4\n11 -12\n6 -4\n11 5\n5 -13\n5 -8\n10 2\n11 -8\n13 -11\n7 -10\n", "output": "NO\n" }, { "input": "20 30000\n23518 297\n5050 298\n20780 288\n27784 296\n6581 300\n6070 296\n20219 282\n3658 293\n29433 296\n26723 276\n1985 294\n4954 296\n22409 295\n7859 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41\n29746 293\n29817 105\n", "output": "YES\n" }, { "input": "15 11\n5 1\n1 -7\n14 6\n5 -7\n9 -3\n12 10\n0 -8\n8 -11\n8 12\n3 -1\n2 -1\n13 3\n13 -12\n3 12\n3 -5\n", "output": "YES\n" }, { "input": "50 15000\n796 297\n44 293\n32 298\n262 297\n81 298\n236 289\n40 291\n501 293\n318 291\n608 285\n85 294\n47 296\n377 295\n13 297\n890 294\n70 300\n370 293\n125 280\n175 296\n1904 295\n157 298\n23 300\n98 300\n110 299\n178 293\n400 287\n130 295\n44 295\n423 295\n248 291\n203 297\n327 296\n19 299\n522 294\n289 293\n106 289\n116 291\n124 300\n53 298\n495 298\n466 292\n15 284\n72 297\n288 299\n548 299\n251 300\n314 287\n374 289\n525 297\n63 275\n", "output": "YES\n" }, { "input": "7 6\n2 3\n5 3\n7 2\n7 -1\n4 -4\n3 -4\n6 -5\n", "output": "YES\n" }, { "input": "20 15000\n29875 -256\n29935 9\n29852 30\n29474 -175\n29880 -244\n29642 245\n29962 79\n29800 84\n29328 277\n29410 268\n29269 -86\n29280 -30\n29854 89\n29953 -190\n29987 194\n29747 -18\n29694 21\n29972 -268\n29923 75\n29782 187\n", "output": "NO\n" }, { "input": "5 1\n7 5\n2 3\n4 5\n2 1\n5 3\n", "output": "NO\n" }, { "input": "20 15000\n30000 288\n29729 296\n29760 292\n29654 300\n29735 293\n29987 297\n29800 299\n29638 300\n29928 300\n29543 290\n29934 528\n29326 299\n29975 296\n29992 300\n29855 293\n29369 298\n29991 300\n29625 300\n29822 298\n29908 295\n", "output": "NO\n" }, { "input": "8 1\n2 8\n2 -6\n6 -5\n7 5\n6 8\n6 8\n1 5\n1 -2\n", "output": "YES\n" }, { "input": "14 7\n4 -12\n5 -5\n4 -10\n14 3\n1 6\n4 -5\n6 -10\n4 -8\n5 -2\n2 -10\n9 -6\n1 6\n7 -4\n11 9\n", "output": "NO\n" }, { "input": "20 30000\n29889 -298\n29133 -283\n29949 -296\n29323 -297\n29642 -287\n29863 -299\n29962 -300\n29906 -594\n29705 -295\n29967 -296\n29804 -295\n29886 -295\n29984 -297\n29943 -298\n29711 -300\n29685 -295\n29805 -293\n29994 -292\n29472 -297\n29909 -296\n", "output": "NO\n" }, { "input": "20 1000\n9691 -32\n1732 -46\n18638 155\n14421 -125\n14839 244\n2249 77\n13780 4\n2467 232\n1673 -239\n19626 202\n8133 251\n21885 25\n1555 0\n2851 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1203_F1. Complete the Projects (easy version)
2128
2128_3
The only difference between easy and hard versions is that you should complete all the projects in easy version but this is not necessary in hard version. Polycarp is a very famous freelancer. His current rating is r units. Some very rich customers asked him to complete some projects for their companies. To complete the i-th project, Polycarp needs to have at least a_i units of rating; after he completes this project, his rating will change by b_i (his rating will increase or decrease by b_i) (b_i can be positive or negative). Polycarp's rating should not fall below zero because then people won't trust such a low rated freelancer. Is it possible to complete all the projects? Formally, write a program to check if such an order of the projects exists, that Polycarp has enough rating before starting each project, and he has non-negative rating after completing each project. In other words, you have to check that there exists such an order of projects in which Polycarp will complete them, so he has enough rating before starting each project, and has non-negative rating after completing each project. Input The first line of the input contains two integers n and r (1 ≤ n ≤ 100, 1 ≤ r ≤ 30000) — the number of projects and the initial rating of Polycarp, respectively. The next n lines contain projects, one per line. The i-th project is represented as a pair of integers a_i and b_i (1 ≤ a_i ≤ 30000, -300 ≤ b_i ≤ 300) — the rating required to complete the i-th project and the rating change after the project completion. Output Print "YES" or "NO". Examples Input 3 4 4 6 10 -2 8 -1 Output YES Input 3 5 4 -5 4 -2 1 3 Output YES Input 4 4 5 2 5 -3 2 1 4 -2 Output YES Input 3 10 10 0 10 -10 30 0 Output NO Note In the first example, the possible order is: 1, 2, 3. In the second example, the possible order is: 2, 3, 1. In the third example, the possible order is: 3, 1, 4, 2.
n,r=map(int,input().split()) a=[] b=[] for _ in range(n): c,d=map(int,input().split()) if d<0: b.append([c,d]) else: a.append([c,d]) a.sort(key = lambda x: x[0]) b.sort(key = lambda x: x[0]+x[1],reverse=True) z=1 for i in a: if i[0]>r: z=0 break r+=i[1] for i in b: if i[0]>r: z=0 break r+=i[1] if z==0 or r<0: print('NO') else: print('YES') #print(a,b)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int m: int data_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.strip().split('\n') n, m = map(int, lines[0].split()) data_list = [list(map(int, line.split())) for line in lines[1:]] assert len(data_list) == n assert all(len(data) == 2 for data in data_list) return cls(n, m, data_list) def __repr__(self): lines = [f"{self.n} {self.m}"] lines.extend(f"{x} {y}" for x, y in self.data_list) return "\n".join(lines) + "\n"
3 5 4 -5 4 -2 1 3
O(nlogn)
0.000009
{ "public_tests": [ { "input": "3 5\n4 -5\n4 -2\n1 3\n", "output": "YES\n" }, { "input": "3 4\n4 6\n10 -2\n8 -1\n", "output": "YES\n" }, { "input": "3 10\n10 0\n10 -10\n30 0\n", "output": "NO\n" }, { "input": "4 4\n5 2\n5 -3\n2 1\n4 -2\n", "output": "YES\n" } ], "private_tests": [ { "input": "2 10\n10 -1\n10 -1\n", "output": "NO\n" }, { "input": "11 1\n6 -8\n4 11\n5 -10\n5 2\n8 7\n9 -1\n7 -10\n3 -10\n2 6\n3 4\n7 8\n", "output": "NO\n" }, { "input": "50 1000\n48 74\n684 197\n134 237\n37 -20\n79 37\n197 -212\n370 54\n577 -195\n329 -50\n963 -81\n85 135\n365 93\n293 -178\n503 -31\n126 -136\n709 -52\n118 153\n19 -260\n305 -260\n619 -35\n72 29\n352 163\n366 -175\n1186 101\n147 268\n235 -225\n591 195\n317 57\n102 244\n255 -204\n135 -21\n9 296\n164 185\n310 -70\n168 -212\n712 24\n299 -224\n401 193\n98 117\n168 -217\n476 -76\n273 -135\n45 61\n55 -40\n1137 84\n278 -89\n120 184\n105 265\n414 152\n69 204\n", "output": "YES\n" }, { "input": "17 3\n12 -6\n7 -8\n14 -2\n4 -5\n8 0\n7 9\n17 -12\n10 -4\n2 -8\n16 -14\n4 1\n8 4\n14 -15\n3 13\n17 -1\n9 8\n11 -9\n", "output": "NO\n" }, { "input": "50 30000\n287 135\n119 48\n148 -252\n20 123\n16 16\n63 -232\n452 -25\n716 280\n367 165\n623 244\n247 249\n105 -61\n59 251\n1201 -266\n67 -298\n666 -216\n206 -91\n95 -229\n768 -229\n338 146\n194 271\n52 -252\n442 -68\n203 80\n314 99\n375 -120\n190 -286\n177 269\n343 264\n98 172\n688 -51\n76 -138\n98 -114\n591 172\n9 -27\n1137 -195\n372 273\n623 -11\n190 -265\n1 -17\n132 159\n141 -38\n103 45\n291 -162\n175 85\n125 -143\n124 -87\n182 173\n3 -259\n320 -70\n", "output": "YES\n" }, { "input": "3 10\n7 6\n9 -13\n4 -3\n", "output": "YES\n" }, { "input": "56 15\n2 -20\n9 14\n33 14\n18 -29\n36 -32\n13 -32\n19 26\n18 -4\n8 -32\n25 -32\n20 -9\n34 -14\n4 -1\n7 -12\n32 -36\n30 -30\n10 -35\n17 -18\n11 -32\n30 -7\n25 30\n1 -11\n13 -6\n15 -1\n38 29\n19 -23\n38 -2\n2 10\n36 23\n12 -28\n36 -38\n15 -33\n25 -34\n7 2\n38 -13\n16 -5\n5 -37\n1 -24\n15 -36\n6 -8\n23 22\n31 13\n37 29\n8 0\n14 28\n34 -30\n24 31\n20 -16\n1 -21\n12 24\n8 -15\n21 16\n4 12\n11 8\n7 -10\n17 -10\n", "output": "NO\n" }, { "input": "1 1\n1 0\n", "output": "YES\n" }, { "input": "20 15000\n61 65\n160 -175\n40 -283\n285 278\n58 -298\n3 20\n232 146\n226 -97\n349 37\n462 -37\n372 13\n1949 -122\n58 233\n306 -29\n327 -213\n306 134\n136 259\n398 101\n794 -90\n613 232\n", "output": "YES\n" }, { "input": "6 104\n100 -99\n99 -1\n98 -1\n97 -1\n96 -1\n95 -1\n", "output": "NO\n" }, { "input": "20 30000\n29682 295\n29376 294\n29917 298\n29992 296\n29841 298\n29984 297\n29986 298\n29728 293\n29986 285\n29862 300\n29533 300\n29685 291\n29217 292\n28980 295\n29941 295\n29854 298\n29937 294\n29907 295\n29978 300\n29927 295\n", "output": "YES\n" }, { "input": "52 276\n303 6\n222 -6\n28 0\n93 6\n96 7\n223 0\n154 -4\n309 -7\n329 6\n94 3\n11 -3\n126 0\n210 2\n101 7\n154 4\n54 6\n33 5\n324 -4\n86 5\n220 -2\n137 -1\n49 -4\n109 6\n107 4\n270 2\n209 -2\n235 -5\n39 1\n110 5\n116 4\n155 1\n37 -1\n193 0\n356 -1\n320 -6\n261 -7\n316 6\n137 2\n165 2\n350 7\n224 6\n89 3\n149 7\n348 3\n271 3\n52 -5\n186 -5\n13 0\n173 -6\n285 2\n20 -5\n152 -5\n", "output": "YES\n" }, { "input": "20 15000\n57 -299\n354 -298\n156 -298\n102 -298\n862 -300\n134 -300\n1446 -289\n23 -298\n1012 -298\n901 -300\n97 -300\n172 -297\n108 -265\n209 -294\n307 -300\n28 -295\n1021 -295\n666 -296\n83 -298\n469 -298\n", "output": "YES\n" }, { "input": "11 12\n10 -10\n19 12\n19 -10\n5 -14\n18 -1\n8 -17\n4 -1\n19 0\n13 2\n8 2\n6 -3\n", "output": "NO\n" }, { "input": "3 1\n3 -4\n3 4\n3 4\n", "output": "NO\n" }, { "input": "20 30000\n21211 -289\n17405 -277\n15448 -296\n24657 -299\n9058 -293\n24218 -299\n2418 -290\n25590 -289\n6026 -299\n13401 -296\n23863 -297\n6650 -297\n22253 -294\n19099 -300\n14879 -286\n3074 -299\n12613 -293\n21154 -297\n11003 -295\n6709 -294\n", "output": "YES\n" }, { "input": "20 15000\n74 292\n68 300\n384 296\n1788 297\n58 292\n39 296\n160 278\n155 297\n106 299\n100 289\n137 295\n629 298\n387 284\n320 295\n252 300\n12 294\n103 300\n143 298\n247 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839_A. Arya and Bran
2019
2019_311
Bran and his older sister Arya are from the same house. Bran like candies so much, so Arya is going to give him some Candies. At first, Arya and Bran have 0 Candies. There are n days, at the i-th day, Arya finds ai candies in a box, that is given by the Many-Faced God. Every day she can give Bran at most 8 of her candies. If she don't give him the candies at the same day, they are saved for her and she can give them to him later. Your task is to find the minimum number of days Arya needs to give Bran k candies before the end of the n-th day. Formally, you need to output the minimum day index to the end of which k candies will be given out (the days are indexed from 1 to n). Print -1 if she can't give him k candies during n given days. Input The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 10000). The second line contains n integers a1, a2, a3, ..., an (1 ≤ ai ≤ 100). Output If it is impossible for Arya to give Bran k candies within n days, print -1. Otherwise print a single integer — the minimum number of days Arya needs to give Bran k candies before the end of the n-th day. Examples Input 2 3 1 2 Output 2 Input 3 17 10 10 10 Output 3 Input 1 9 10 Output -1 Note In the first sample, Arya can give Bran 3 candies in 2 days. In the second sample, Arya can give Bran 17 candies in 3 days, because she can give him at most 8 candies per day. In the third sample, Arya can't give Bran 9 candies, because she can give him at most 8 candies per day and she must give him the candies within 1 day.
n, k = map(int, input().split()) a = list(map(int, input().split())) count = tank = 0 for i in range(n): tank+=a[i] if tank>=8: count+=1 tank-=8 k-=8 else: count+=1 k-=tank tank=0 if k<=0: break if k>0: print(-1) else: print(count)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: a: int b: int c_list: List[str] @classmethod def from_str(cls, input_: str): a, b = input_.split('\n')[0].split(' ') a = int(a) b = int(b) c_list = input_.split('\n')[1].split(' ') return cls(a, b, c_list) def __repr__(self): return str(self.a) + ' ' + str(self.b) + '\n' + ' '.join(self.c_list) + '\n'
1 9 10
O(n**2)
0
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839_A. Arya and Bran
2019
2019_392
Bran and his older sister Arya are from the same house. Bran like candies so much, so Arya is going to give him some Candies. At first, Arya and Bran have 0 Candies. There are n days, at the i-th day, Arya finds ai candies in a box, that is given by the Many-Faced God. Every day she can give Bran at most 8 of her candies. If she don't give him the candies at the same day, they are saved for her and she can give them to him later. Your task is to find the minimum number of days Arya needs to give Bran k candies before the end of the n-th day. Formally, you need to output the minimum day index to the end of which k candies will be given out (the days are indexed from 1 to n). Print -1 if she can't give him k candies during n given days. Input The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 10000). The second line contains n integers a1, a2, a3, ..., an (1 ≤ ai ≤ 100). Output If it is impossible for Arya to give Bran k candies within n days, print -1. Otherwise print a single integer — the minimum number of days Arya needs to give Bran k candies before the end of the n-th day. Examples Input 2 3 1 2 Output 2 Input 3 17 10 10 10 Output 3 Input 1 9 10 Output -1 Note In the first sample, Arya can give Bran 3 candies in 2 days. In the second sample, Arya can give Bran 17 candies in 3 days, because she can give him at most 8 candies per day. In the third sample, Arya can't give Bran 9 candies, because she can give him at most 8 candies per day and she must give him the candies within 1 day.
_, k = map(int, input().split()) acc = 0 result = -1 for i, v in enumerate(map(int, input().split())): acc += v d = min(acc, 8) k -= d acc -= d if k <= 0: result = i + 1 break print(result)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: a: int b: int c_list: List[str] @classmethod def from_str(cls, input_: str): a, b = input_.split('\n')[0].split(' ') a = int(a) b = int(b) c_list = input_.split('\n')[1].split(' ') return cls(a, b, c_list) def __repr__(self): return str(self.a) + ' ' + str(self.b) + '\n' + ' '.join(self.c_list) + '\n'
1 9 10
O(n+m)
0.000001
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758_B. Blown Garland
2072
2072_257
Nothing is eternal in the world, Kostya understood it on the 7-th of January when he saw partially dead four-color garland. Now he has a goal to replace dead light bulbs, however he doesn't know how many light bulbs for each color are required. It is guaranteed that for each of four colors at least one light is working. It is known that the garland contains light bulbs of four colors: red, blue, yellow and green. The garland is made as follows: if you take any four consecutive light bulbs then there will not be light bulbs with the same color among them. For example, the garland can look like "RYBGRYBGRY", "YBGRYBGRYBG", "BGRYB", but can not look like "BGRYG", "YBGRYBYGR" or "BGYBGY". Letters denote colors: 'R' — red, 'B' — blue, 'Y' — yellow, 'G' — green. Using the information that for each color at least one light bulb still works count the number of dead light bulbs of each four colors. Input The first and the only line contains the string s (4 ≤ |s| ≤ 100), which describes the garland, the i-th symbol of which describes the color of the i-th light bulb in the order from the beginning of garland: * 'R' — the light bulb is red, * 'B' — the light bulb is blue, * 'Y' — the light bulb is yellow, * 'G' — the light bulb is green, * '!' — the light bulb is dead. The string s can not contain other symbols except those five which were described. It is guaranteed that in the given string at least once there is each of four letters 'R', 'B', 'Y' and 'G'. It is guaranteed that the string s is correct garland with some blown light bulbs, it means that for example the line "GRBY!!!B" can not be in the input data. Output In the only line print four integers kr, kb, ky, kg — the number of dead light bulbs of red, blue, yellow and green colors accordingly. Examples Input RYBGRYBGR Output 0 0 0 0 Input !RGYB Output 0 1 0 0 Input !!!!YGRB Output 1 1 1 1 Input !GB!RG!Y! Output 2 1 1 0 Note In the first example there are no dead light bulbs. In the second example it is obvious that one blue bulb is blown, because it could not be light bulbs of other colors on its place according to the statements.
s=input() d={} n=len(s) for i in range(n): if(s[i]!='!'): d[i%4]=s[i] l={'R':0,'B':0,'Y':0,'G':0} for i in range(n): if(s[i]=='!'): l[d[i%4]]+=1 print(*list(l.values()))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): s = input_.split('\n')[0] return cls(s) def __repr__(self): return self.s + '\n'
!RGYB
O(n)
0.000002
{ "public_tests": [ { "input": "!RGYB\n", "output": "0 1 0 0\n" }, { "input": "!!!!YGRB\n", "output": "1 1 1 1\n" }, { "input": "RYBGRYBGR\n", "output": "0 0 0 0\n" }, { "input": "!GB!RG!Y!\n", "output": "2 1 1 0\n" } ], "private_tests": [ { "input": "G!!!!Y!!!!R!!!!B\n", "output": "3 3 3 3\n" }, { "input": "GBYRG\n", "output": "0 0 0 0\n" }, { "input": "RBYGR\n", "output": "0 0 0 0\n" }, { "input": "GY!!!!R!!Y!B\n", "output": "2 2 1 2\n" }, { "input": "!!GYRBGY!BGY!BGY!BGYR!G!RBGYRBGYR!G!RBGY!BGY!!GY!BGY!BGYRBGYR!GYRBGYR!G!!BGY!!GY!!GY!BGY!!GY!BG\n", "output": "14 9 3 0\n" }, { "input": "!!!!!!!!!!!!!!!!!!Y!!!!!!!!!!!!!!!!!!B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!G!!R!!!!!!!!!!!!\n", "output": "24 24 24 24\n" }, { "input": "RYBG\n", "output": "0 0 0 0\n" }, { "input": "!!G!!!!!Y!!RYBGRY!!R!!!R!!!!!!!R!B!!!!!R!!!R!!!R!!!R!!!R!!!!\n", "output": "5 13 12 13\n" }, { "input": "RBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGYRBGY\n", "output": "0 0 0 0\n" }, { "input": "!Y!!!Y!!G!!!G!!B!!R!!!!B!!!!!Y!!G!R!!!!!!!!!!!!B!!!!GY!B!!!!!YR!G!!!!!!B!Y!B!!!!!!R!G!!!!!!!G!R!!!!B\n", "output": "20 18 19 18\n" }, { "input": "!!BG!!B!!RBG!!B!YRB!!!B!YRBG!!BG!!B!!!BG!!BG!RB!Y!!!!!B!Y!B!Y!!!!!B!!!\n", "output": "14 2 13 11\n" }, { "input": "R!G!R!GBR!!BR!GB!!!B!!!BR!GBRYG!R!!!R!GBRYGBR!GBR!!BR!GBR!GBRY!B!!!!R!!BR!!BR!!!!!!B!!!BR!\n", "output": "5 5 20 12\n" }, { "input": "R!!BRYG!!YG!R!!!R!!!!!G!R!!!!!\n", "output": "3 6 6 4\n" }, { "input": "!B!!!B!!!B!!!B!!!B!!!B!G!B!!!B!!!B!!!B!!!B!!!B!!!BR!!B!!!B!!!B!!!B!!!B!!YB!!!B!!!B!!!B!!!B!!!B!!!B!!\n", "output": "24 0 24 24\n" }, { "input": "!R!!Y!G!!!!BYR!!!!G!!!!!!R!!!!!!!!!B!!!B!R!BY!!B!!GB!!G!!!G!!!G!!!!!!R!!!!G!!!!!Y!!BY!!!!!!!Y!!!\n", "output": "19 17 18 17\n" }, { "input": "Y!!GYB!G!!!!YB!G!!RG\n", "output": "4 3 2 1\n" }, { "input": "R!!Y!!B!!G!\n", "output": "2 2 1 2\n" }, { "input": "!R!GBRYG!RYGB!!G!!YG!!Y!!\n", "output": "3 5 2 1\n" }, { "input": "R!!!!B!!!!Y!!!!G\n", "output": "3 3 3 3\n" }, { "input": "RBYGRBYGRBYGRB!\n", "output": "0 0 1 0\n" }, { "input": "YR!!!R!!!RB!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!G!R!!!R!!!R!!!R!!\n", "output": "0 24 24 24\n" }, { "input": "B!RG!!R!B!R!B!R!B!R!!!R!B!RG!!RGB!R!!!RGB!!!!YR!B!!!!!RGB!R!B!R!B!!!!!RGBY!!B!RG!Y!GB!!!B!!GB!RGB!R!\n", "output": "7 8 22 15\n" }, { "input": "!!YR!!YR!!YR!!YR!!YR!BYR!!YR!!YR!!YRG!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR!!YR\n", "output": "0 24 0 24\n" }, { "input": "GYRB!\n", "output": "0 0 0 1\n" }, { "input": "R!YBRGY!R!\n", "output": "0 1 0 2\n" }, { "input": "!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!YR!!Y!!!Y!B!Y!!!Y!!!Y!!!Y!!!Y!!GY!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!\n", "output": "24 24 0 24\n" }, { "input": "R!!!!B!!!!Y!!!!G!!!!\n", "output": "4 4 4 4\n" }, { "input": "!Y!!!!!!!!!!!!!!!!!GB!!!!!!!!!!!!Y!!!!!!!!!!!!!!!!!!!!!!!!!!!!R!!!!!!!!!!!!!!!!!!!!!!!!!!!R!!!!!!!\n", "output": "22 24 23 23\n" }, { "input": "G!!!GY!!GYBRGYB!GY!RG!B!GYBRGY!!GY!!GYBRGYBRGY!RGY!!GYBRGY!!G!BRGYB!GYBRGYB!GY!!G!!RGYB!GYB!G!B!GYB!\n", "output": "15 10 5 0\n" }, { "input": "!!!!!R!!!!G!!!!B!!!!!!!!Y!!!!!!!!!\n", "output": "8 7 8 7\n" }, { "input": "R!!!!!!Y!B!!!!!!!!!!!!!!R!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Y!!G!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\n", "output": "23 24 23 24\n" }, { "input": "!B!!Y!!GY!RGY!!!!!!!!!!!Y!!!!!!!!!!!!!!!!!RG!BR!!!!!!!!G!!!!!B!!!!R!!B!G!B!!YB!!Y!!!!BRG!!!G\n", "output": "18 16 17 16\n" }, { "input": "!R!B!!!!G!Y\n", "output": "2 1 2 2\n" }, { "input": "!B!YR!!YR!!YRB!Y!B!Y!B!Y!!!YR!GYR!!YRB!YR!!Y!!!YR!!YRB!YR!!Y!B!Y!!!Y!!!YR!!Y!B!YRB!YR!!YR!!Y!B!Y!B!Y\n", "output": "11 14 0 24\n" }, { "input": "!!!!!!!!R!!!!!!!!B!!!!!!!!G!!!!!!!!Y!!!!!!!!\n", "output": "10 10 10 10\n" }, { "input": "BRYGB\n", "output": "0 0 0 0\n" }, { "input": "!!!!!!!!!GBYRGBY\n", "output": "3 2 2 2\n" }, { "input": "!!!BRYG!!\n", "output": "2 1 1 1\n" }, { "input": "!!!!!!!!Y!!!!!!!!!GR!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!B!!!!!!Y!!!!!!R!!!!!!!!!!!!!!!!!!!!!!!!!!\n", "output": "21 23 22 22\n" }, { "input": "BRG!!RGYBRGYBRG!B!GY!!GYB!GY!!G!BRGY!RGYB!G!!RGYBRGYB!GY!!GYB!GYBRGY!!GYB!GY!!GYB!GY!!GYBRGY!!GYB!G\n", "output": "15 10 4 0\n" }, { "input": "GBYR!!!!\n", "output": "1 1 1 1\n" }, { "input": "!!!!B!!!!G!!B!R!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!YB!R!!!!!!G!!!!!!!!\n", "output": "20 20 21 21\n" }, { "input": "YB!!Y!GR!B!!YB!RYBG!!!!RY!GR!!!R!B!R!B!R!!!R!B!R!B!!!B!!YB!R!!G!YB!!Y!!R!BG!!!!!!B!!!!!R!!!\n", "output": "10 10 15 18\n" }, { "input": "!RBYGRBYGRBY!!!!GRBYGRB!GRBY!R!YGRBYG!BYGRBYG!!Y!!BYGRB!G!B!G!!!G!BY!RBYGRB!!R!!GR!YG!BY!!B!GR!Y!!!!\n", "output": "10 8 9 8\n" }, { "input": "R!GBRYGBRYGBRYG!RY!BRYGBRYGBRYGBRYGBRYGBRYGBRYGBRYGBR!GBRY!BRY!BRYGBRYGBRYGBRYGB\n", "output": "0 1 2 3\n" }, { "input": "R!!!R!!!R!!!R!B!RGB!!G!!R!B!R!B!RG!YR!B!\n", "output": "1 5 9 7\n" }, { "input": "!!!YR!B!!!B!R!!!R!!YR!BY!G!YR!B!R!BYRG!!!!BY!!!!!!B!!!B!R!!Y!!B!!GB!R!B!!!!!!G!!RG!!R!BYR!!!!!B!!!!!\n", "output": "13 12 17 20\n" }, { "input": "YRB!Y!B!YRB!Y!!!Y!B!YR!!YR!!Y!!!YRB!YR!!YRB!Y!B!YRB!YR!!Y!!!YR!!YRB!YR!!Y!B!YRB!Y!!GYR!!Y\n", "output": "8 11 0 21\n" }, { "input": "!!G!!!G!!!G!!!G!!!GB!!G!!!G!!YG!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!R!G!!!G!\n", "output": "24 24 24 0\n" }, { "input": "!Y!!!!!!G!!!!!!!!!B!!!!!!!!!!!!R\n", "output": "7 7 7 7\n" }, { "input": "YRGBY\n", "output": "0 0 0 0\n" }, { "input": "RGBYRGBYRGBY\n", "output": "0 0 0 0\n" }, { "input": "!!!!BR!!!!GY\n", "output": "2 2 2 2\n" }, { "input": "R!!!!!!!!!!!!!!!!!!!!!!!!Y!!!!!!!!!!!!!!!!!!!!!!!!G!!!!!!!!!!!!!!!!!!!!!!!!B!!!!!!!!!!!!!!!!!!!!!!!!\n", "output": "24 24 24 24\n" }, { "input": "!!!YBGR!!!\n", "output": "1 2 1 2\n" }, { "input": "!!!!!R!!!!G!!!!B!!!!Y!!!!!!!!!\n", "output": "7 6 7 6\n" }, { "input": "B!RGB!!GBYR!B!R\n", "output": "1 0 3 1\n" }, { "input": "R!!!!!!!!!!!!B!!!!!!!!!!!!Y!!!!!!!!!!!!G\n", "output": "9 9 9 9\n" }, { "input": "!!GBRY!!!YG!R!GBR!G!RY!B!YGB!!G!RYGBRYGB!Y!BR!G!RYGBRYGBRYGBRYGBRYGBRYGB!Y!B!YGBR!!BRYGB\n", "output": "7 5 6 5\n" }, { "input": "!Y!R!Y!RB!G!BY!!!!!R!YG!!YGRB!!!!!!!BYGR!!!RBYGRBY\n", "output": "5 7 5 7\n" }, { "input": "R!!!!G!!!!B!!!!Y\n", "output": "3 3 3 3\n" } ], "generated_tests": [ { "input": "RBYG\n", "output": "0 0 0 0 " }, { "input": "!RB!!!B!!!!!!RB!!RB!!R!!!!B!YRBG!RBG!RB!!RBG!RBGYRBG!R!!!R!GYRBG!RB!!!B!!!BG!RB!!RBG!R!G!R\n", "output": "5 5 20 12 " }, { "input": "!!Y!!GY!!G!!BGYR!GYRBG!R!\n", "output": "3 5 2 1 " }, { "input": "!BRGYBRGYBRGYBR\n", "output": "0 0 1 0 " }, { "input": "!!R!!!R!!!R!!!R!G!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!!R!!BR!!!R!!!RY\n", "output": "0 24 24 24 " }, { "input": "!R!BGR!BG!!B!!!BG!Y!GR!B!!YBGR!!!!!B!R!B!R!BGR!!!!!B!RY!!!!BGR!!!R!BGR!!GR!B!R!!!R!B!R!B!R!B!R!!GR!B\n", "output": "7 8 22 15 " }, { "input": "!BRYG\n", "output": "0 0 0 1 " }, { "input": "!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!!YG!!Y!!!Y!!!Y!!!Y!!!Y!B!Y!!!Y!!RY!!!Y!!!Y!!!Y!!!Y!!!Y!!!Y!!\n", "output": "24 24 0 24 " }, { "input": "!!!!G!!!!Y!!!!B!!!!R\n", "output": "4 4 4 4 " }, { "input": "!!!!!!!R!!!!!!!!!!!!!!!!!!!!!!!!!!!R!!!!!!!!!!!!!!!!!!!!!!!!!!!!Y!!!!!!!!!!!!BG!!!!!!!!!!!!!!!!!Y!\n", "output": "22 24 23 23 " }, { "input": "!!!!!!!!!Y!!!!!!!!B!!!!G!!!!R!!!!!\n", "output": "8 7 8 7 " }, { "input": "!!!!!!!!!!!!!!!!!!!!!!!!!!!!!G!!Y!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!R!!!!!!!!!!!!!!B!Y!!!!!!R\n", "output": "23 24 23 24 " }, { "input": "Y!G!!!!B!R!\n", "output": "2 1 2 2 " }, { "input": "YG!!!!RB!!!!\n", "output": "2 2 2 2 " }, { "input": "!!!!!!!!!!!!!!!!!!!!!!!!B!!!!!!!!!!!!!!!!!!!!!!!!G!!!!!!!!!!!!!!!!!!!!!!!!Y!!!!!!!!!!!!!!!!!!!!!!!!R\n", "output": "24 24 24 24 " }, { "input": "Y!!!!B!!!!G!!!!R\n", "output": "3 3 3 3 " }, { "input": "!!!!R!!!R!!!R!!!R!!!R!!!!!B!R!!!!!!!R!!!R!!YRGBYR!!Y!!!!!G!!\n", "output": "5 13 12 13 " }, { "input": "!!B!!!B!!!B!!!B!!!B!!!B!!!BY!!B!!!B!!!B!!!B!!!B!!RB!!!B!!!B!!!B!!!B!!!B!!!B!G!B!!!B!!!B!!!B!!!B!!!B!\n", "output": "24 0 24 24 " }, { "input": "GR!!G!BY!!!!G!BYG!!Y\n", "output": "4 3 2 1 " }, { "input": "!G!!B!!Y!!R\n", "output": "2 2 1 2 " }, { "input": "Y!B!Y!B!Y!!RY!!RY!BRY!B!Y!!RY!!!Y!!!Y!B!Y!!RY!BRY!!RY!!!Y!!RY!BRY!!RYG!RY!!!Y!B!Y!B!Y!BRY!!RY!!RY!B!\n", "output": "11 14 0 24 " }, { "input": "!!!!!!!!!!!!!!!!!!!!!!!!!!R!!!!!!Y!!!!!!B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!RG!!!!!!!!!Y!!!!!!!!\n", "output": "21 23 22 22 " }, { "input": "!!!!RYBG\n", "output": "1 1 1 1 " }, { "input": "!!!!!!!!G!!!!!!R!BY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!R!B!!G!!!!B!!!!\n", "output": "20 20 21 21 " }, { "input": "Y!!RYG!!Y!BRY!B!Y!!RY!BRY!!RY!!!Y!!RY!BRY!B!Y!BRY!!RY!BRY!!!Y!!RY!!RY!B!Y!!!Y!BRY!B!Y!BRY\n", "output": "8 11 0 21 " }, { "input": "!G!!!G!R!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!G!!!GY!!G!!!G!!BG!!!G!!!G!!!G!!!G!!\n", "output": "24 24 24 0 " }, { "input": "R!YBR!Y!RG\n", "output": "0 1 0 2 " }, { "input": "YBGRYBG!!!!!!!!!\n", "output": "3 2 2 2 " }, { "input": "!!!R!!!!!B!!!!!!GB!R!!Y!!BY!G!!R!BY!!B!!!B!R!B!R!!!R!B!R!B!R!!!RG!YR!!!!GBYR!BY!!B!RG!Y!!BY\n", "output": "10 10 15 18 " }, { "input": "R!GBRYGBRYGBRYGBRY!BRYGBRYGBRYGBRYGBRYG!RYGBRYGBRYGBR!GBRY!BRY!BRYGBRYGBRYGBRYGB\n", "output": "0 1 2 3 " }, { "input": "!B!RY!GR!B!R!B!R!!G!!BGR!B!R!!!R!!!R!!!R\n", "output": "1 5 9 7 " }, { "input": "!!!!!B!!!!!RYB!R!!GR!!G!!!!!!B!R!BG!!B!!Y!!R!B!!!B!!!!!!YB!!!!GRYB!R!B!RY!G!YB!RY!!R!!!R!B!!!B!RY!!!\n", "output": "13 12 17 20 " }, { "input": "G!!!!!!!!!!!!Y!!!!!!!!!!!!B!!!!!!!!!!!!R\n", "output": "9 9 9 9 " }, { "input": "BYGR!\n", "output": "0 1 0 0 " }, { "input": "B!!!!R!G!!!!!!!G!R!!!!!!B!Y!B!!!!!!G!RY!!!!!B!YG!!!!B!!!!!!!!!!!!R!G!!Y!!!!!B!!!!R!!B!!G!!!G!!Y!!!Y!\n", "output": "20 18 19 18 " }, { "input": "!!BG!!B!!RBG!!B!YRB!!!B!YRBG!!BG!!B!!!B!!!BG!RB!Y!!G!!B!Y!B!Y!!!!!B!!!\n", "output": "14 2 13 11 " }, { "input": "!!!Y!!!!!!!YB!!Y!!!!!G!!!!R!!!!!!G!!!G!!!G!!BG!!B!!YB!R!B!!!B!!!!!!!!!R!!!!!!G!!!!RYB!!!!G!Y!!R!\n", "output": "19 17 18 17 " }, { "input": "!BYG!B!G!BYG!BYGR!!G!!YG!BYGRBYG!BYGRB!G!!YGRBYG!!YGR!YGRBYGRBYG!!YG!!YGRBYG!B!GR!YG!BYGRBYG!!YG!!!G\n", "output": "15 10 5 0 " }, { "input": "G!!!GRB!!!!Y!!BY!!B!G!B!!R!!!!B!!!!!G!!!!!!!!RB!GR!!!!!!!!!!!!!!!!!Y!!!!!!!!!!!YGR!YG!!Y!!B!\n", "output": "18 16 17 16 " }, { "input": "!!!!!!!!Y!!!!!!!!G!!!!!!!!B!!!!!!!!R!!!!!!!!\n", "output": "10 10 10 10 " }, { "input": "G!BYG!!YGRBYG!!YG!BYG!!YG!BYG!!YGRBYG!BYG!!YG!BYGRBYGR!!G!BYGR!YGRB!G!!YG!BYG!!YG!B!GRBYGRBYGR!!GRB\n", "output": "15 10 4 0 " }, { "input": "!!!!!!!!!Y!!!!B!!!!G!!!!R!!!!!\n", "output": "7 6 7 6 " }, { "input": "!R!BGR!BG!!B!!!BG!Y!GR!B!!YBGR!!!!!B!R!B!R!B!R!!!!!B!RY!G!!BGR!!!R!BGR!!GR!B!R!!!R!B!R!B!R!B!R!!GR!B\n", "output": "7 8 22 15 " }, { "input": "!R!B!!!!Y!G\n", "output": "2 1 2 2 " }, { "input": 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"BRGY!!!!\n", "output": "1 1 1 1 " }, { "input": "GBYR\n", "output": "0 0 0 0 " }, { "input": "YG!!!!BR!!!!\n", "output": "2 2 2 2 " }, { "input": "R!!!!YBG\n", "output": "1 1 1 1 " }, { "input": "!RYBG\n", "output": "0 0 0 1 " }, { "input": "YG!!!!RB\n", "output": "1 1 1 1 " }, { "input": "GR!Y!RBY!R\n", "output": "0 1 0 2 " }, { "input": "G!!!!Y!!!!!!!!!!!!!!!!!!!!B!!!!!!!!!!!!R\n", "output": "9 9 9 9 " }, { "input": "GBY!!!!R\n", "output": "1 1 1 1 " }, { "input": "BR!!!!GY\n", "output": "1 1 1 1 " }, { "input": "G!!!!B!!!!R!!!!Y\n", "output": "3 3 3 3 " }, { "input": "RBYGRB!GRBYGRBY\n", "output": "0 0 1 0 " }, { "input": "!GRBY\n", "output": "0 0 1 0 " }, { "input": "!!!!RB!!!!GY\n", "output": "2 2 2 2 " }, { "input": "Y!!!!R!!!!B!!!!G\n", "output": "3 3 3 3 " }, { "input": "!!!Y!!!!!!!YB!!Y!!!!!G!!!!R!!!!!!G!!!G!!!G!!BG!!B!!YB!R!B!!!B!!!!!!!!!R!!!!!!G!!!!!YB!R!!G!Y!!R!\n", "output": "19 17 18 17 " }, { "input": "YBRGYBRG!BRGYBR\n", "output": "0 0 1 0 " }, { "input": "YBRG!\n", "output": "0 0 1 0 " }, { "input": "!!!!!!!!!!!!R!!G!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!B!!!!!!!!!!!!!!!!!!Y!!!!!!!!!!!!!!!!!!\n", "output": "24 24 24 24 " }, { "input": "!Y!!!Y!!G!!!G!!B!!R!!!!B!!!!!Y!!G!R!!!!!!!!!!!!!!!!!GY!B!!!!!YR!G!!!!!!B!Y!B!!!!!!R!G!!!!!!BG!R!!!!B\n", "output": "20 18 19 18 " } ] }
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758_B. Blown Garland
2072
2072_40
Nothing is eternal in the world, Kostya understood it on the 7-th of January when he saw partially dead four-color garland. Now he has a goal to replace dead light bulbs, however he doesn't know how many light bulbs for each color are required. It is guaranteed that for each of four colors at least one light is working. It is known that the garland contains light bulbs of four colors: red, blue, yellow and green. The garland is made as follows: if you take any four consecutive light bulbs then there will not be light bulbs with the same color among them. For example, the garland can look like "RYBGRYBGRY", "YBGRYBGRYBG", "BGRYB", but can not look like "BGRYG", "YBGRYBYGR" or "BGYBGY". Letters denote colors: 'R' — red, 'B' — blue, 'Y' — yellow, 'G' — green. Using the information that for each color at least one light bulb still works count the number of dead light bulbs of each four colors. Input The first and the only line contains the string s (4 ≤ |s| ≤ 100), which describes the garland, the i-th symbol of which describes the color of the i-th light bulb in the order from the beginning of garland: * 'R' — the light bulb is red, * 'B' — the light bulb is blue, * 'Y' — the light bulb is yellow, * 'G' — the light bulb is green, * '!' — the light bulb is dead. The string s can not contain other symbols except those five which were described. It is guaranteed that in the given string at least once there is each of four letters 'R', 'B', 'Y' and 'G'. It is guaranteed that the string s is correct garland with some blown light bulbs, it means that for example the line "GRBY!!!B" can not be in the input data. Output In the only line print four integers kr, kb, ky, kg — the number of dead light bulbs of red, blue, yellow and green colors accordingly. Examples Input RYBGRYBGR Output 0 0 0 0 Input !RGYB Output 0 1 0 0 Input !!!!YGRB Output 1 1 1 1 Input !GB!RG!Y! Output 2 1 1 0 Note In the first example there are no dead light bulbs. In the second example it is obvious that one blue bulb is blown, because it could not be light bulbs of other colors on its place according to the statements.
arr = input() n = len(arr) r, b, y, g = 0, 0, 0, 0 for i in range(4): if i >= n: break ltrs = sorted(arr[i::4]) let = ltrs[len(ltrs) - 1] a = ltrs.count('!') if let == 'R': r += a elif let == 'B': b += a elif let == 'Y': y += a elif let == 'G': g += a print(r, b, y, g)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): s = input_.split('\n')[0] return cls(s) def __repr__(self): return self.s + '\n'
!RGYB
O(nlogn)
0.000012
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[ 0.000011798656360561355, 8.026087269338059e-7, 5.695991190133869e-7, 2.129953563823989e-7, 1.7758687974233147e-7, 1.7627807195206996e-7, 1.7088755649253602e-7, 1.6919437756637566e-7, 1.632920901784676e-7, 1.6160115432691157e-7, 1.5834082526442378e-7, 1.5788755569472381e-7, 1.5715980275160728e-7, 1.5690840499499547e-7, 1.564909025064984e-7, 1.5643421141073068e-7, 1.546095242909869e-7, 1.5445769959197834e-7, 1.5409589023779532e-7, 1.5393743889110162e-7, 1.536105786163535e-7, 1.5165640406816326e-7, 1.5095673757056205e-7, 1.4814757476054233e-7, 1.481220172226543e-7, 1.4796702137432275e-7, 1.4678043193941502e-7, 1.4570349333903397e-7, 1.439413548515724e-7, 1.433920246512939e-7, 1.4302520182290933e-7, 1.421817729309765e-7, 1.4129607008402867e-7, 1.3967052369556937e-7, 1.395371942308518e-7, 1.39360744966922e-7, 5.747998458983777e-8, 4.099292009819165e-8, 3.102249302395446e-8, 3.053665046039674e-8 ]
788_A. Functions again
2198
2198_50
Something happened in Uzhlyandia again... There are riots on the streets... Famous Uzhlyandian superheroes Shean the Sheep and Stas the Giraffe were called in order to save the situation. Upon the arriving, they found that citizens are worried about maximum values of the Main Uzhlyandian Function f, which is defined as follows: <image> In the above formula, 1 ≤ l < r ≤ n must hold, where n is the size of the Main Uzhlyandian Array a, and |x| means absolute value of x. But the heroes skipped their math lessons in school, so they asked you for help. Help them calculate the maximum value of f among all possible values of l and r for the given array a. Input The first line contains single integer n (2 ≤ n ≤ 105) — the size of the array a. The second line contains n integers a1, a2, ..., an (-109 ≤ ai ≤ 109) — the array elements. Output Print the only integer — the maximum value of f. Examples Input 5 1 4 2 3 1 Output 3 Input 4 1 5 4 7 Output 6 Note In the first sample case, the optimal value of f is reached on intervals [1, 2] and [2, 5]. In the second case maximal value of f is reachable only on the whole array.
n=int(input()) a=list(map(int,input().split())) dp=[[0,0] for i in range(n)] dp[0][1]=abs(a[1]-a[0]) maxi=abs(a[1]-a[0]) for i in range(1,n-1): dp[i][0]=max(0,dp[i-1][1]-abs(a[i]-a[i+1])) dp[i][1]=max(0,dp[i-1][0]+abs(a[i]-a[i+1])) maxi=max(maxi,dp[i][0],dp[i][1]) print(maxi)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 1 4 2 3 1
O(n)
0.000014
{ "public_tests": [ { "input": "5\n1 4 2 3 1\n", "output": "3\n" }, { "input": "4\n1 5 4 7\n", "output": "6\n" } ], "private_tests": [ { "input": "4\n1000000000 0 0 -1000000000\n", "output": "2000000000\n" }, { "input": "10\n1000000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000\n", "output": "10000000000\n" }, { "input": "5\n0 10 20 30 40\n", "output": "10\n" }, { "input": "9\n1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000\n", "output": "4000000000\n" }, { "input": "2\n1 2\n", "output": "1\n" }, { "input": "2\n1 1\n", "output": "0\n" }, { "input": "100\n23 64 60 -45 -36 -64 -59 15 -75 69 -30 -7 -20 17 -77 58 93 -76 -98 -22 -31 16 -50 6 -20 -85 1 64 -88 -8 -15 -6 -57 25 91 10 2 -90 74 -66 -42 73 28 49 -85 59 96 79 -25 49 -59 -89 -75 12 -96 -33 -65 -8 -100 -81 17 99 -91 -5 7 -21 1 85 63 86 -26 85 -31 11 -75 35 -82 15 98 93 -55 66 70 36 -38 8 92 -63 -5 60 -78 -7 -22 -1 4 54 36 16 32 -20\n", "output": "632\n" }, { "input": "2\n1000000000 -1000000000\n", "output": "2000000000\n" }, { "input": "2\n-1000000000 1000000000\n", "output": "2000000000\n" }, { "input": "8\n16 14 12 10 8 100 50 0\n", "output": "92\n" }, { "input": "4\n1000000000 -1000000000 -1000000000 1000000000\n", "output": "4000000000\n" }, { "input": "50\n-5 -9 0 44 -10 37 34 -49 11 -22 -26 44 8 -13 23 -46 34 12 -24 2 -40 -15 -28 38 -40 -42 -42 7 -43 5 2 -11 10 43 9 49 -13 36 2 24 46 50 -15 -26 -6 -6 8 4 -44 -3\n", "output": "208\n" }, { "input": "6\n1000000000 0 0 1000000000 1000000000 0\n", "output": "3000000000\n" }, { "input": "5\n1000000000 0 0 1000000000 -1000000000\n", "output": "2000000000\n" }, { "input": "11\n1000000000 0 1 1000000000 999999999 1 0 1000000000 999999999 1 1000000000\n", "output": "4999999991\n" }, { "input": "4\n1 0 1 0\n", "output": "1\n" }, { "input": "16\n-1000000000 1000000000 1000000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000\n", "output": "16000000000\n" }, { "input": "3\n0 0 0\n", "output": "0\n" }, { "input": "3\n0 1 -1\n", "output": "2\n" }, { "input": "17\n1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000\n", "output": "8000000000\n" } ], "generated_tests": [ { "input": "4\n1000000000 0 1 -1000000000\n", "output": "2000000000\n" }, { "input": "5\n0 10 20 30 20\n", "output": "10\n" }, { "input": "9\n1000000000 0 0 1000000000 1000000000 0 0 1000000100 1000000000\n", "output": "4000000100\n" }, { "input": "2\n1 3\n", "output": "2\n" }, { "input": "2\n2 1\n", "output": "1\n" }, { "input": "100\n23 64 60 -45 -36 -64 -59 15 -75 69 -30 -7 -20 17 -77 58 93 -76 -98 -22 -31 16 -50 6 -20 -85 1 64 -88 -8 -15 -6 -57 25 91 10 2 -90 74 -66 -42 73 28 49 -85 59 96 79 -25 49 -59 -89 -75 14 -96 -33 -65 -8 -100 -81 17 99 -91 -5 7 -21 1 85 63 86 -26 85 -31 11 -75 35 -82 15 98 93 -55 66 70 36 -38 8 92 -63 -5 60 -78 -7 -22 -1 4 54 36 16 32 -20\n", "output": "632\n" }, { "input": "2\n1000000000 -301104655\n", "output": "1301104655\n" }, { "input": "2\n-1000000000 1000001000\n", "output": "2000001000\n" }, { "input": "8\n16 14 12 13 8 100 50 0\n", "output": "92\n" }, { "input": "4\n1000000000 -932564530 -1000000000 1000000000\n", "output": "3865129060\n" }, { "input": "50\n-5 -9 0 44 -10 37 34 -49 11 -22 -26 44 8 -13 23 -46 34 12 -24 2 -40 -15 -28 38 -40 -42 -42 7 -43 5 2 -11 10 43 9 49 -13 36 2 24 46 50 -15 -26 -4 -6 8 4 -44 -3\n", "output": "208\n" }, { "input": "6\n1000000000 0 0 1000000000 1000000000 1\n", "output": "2999999999\n" }, { "input": "11\n1000000000 0 1 1000010000 999999999 1 0 1000000000 999999999 1 1000000000\n", "output": "4999999991\n" }, { "input": "16\n-1000000000 1000000000 1000000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000 -1000000000 1000000000 1010000000 -1000000000 -1000000000 1000000000 1000000000 -1000000000\n", "output": "16000000000\n" }, { "input": "3\n0 1 -2\n", "output": "3\n" }, { "input": "17\n1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000100 0 0 1000000000 1000000000\n", "output": "8000000000\n" }, { "input": "5\n0 4 2 3 1\n", "output": "4\n" }, { "input": "4\n1 5 4 9\n", "output": "8\n" }, { "input": "4\n1000000000 0 1 -595471605\n", "output": "1595471605\n" }, { "input": "5\n0 10 20 30 5\n", "output": "25\n" }, { "input": "2\n1000010000 -301104655\n", "output": "1301114655\n" }, { "input": "2\n-432244458 1000001000\n", "output": "1432245458\n" }, { "input": "8\n0 14 12 13 8 100 50 0\n", "output": "100\n" }, { "input": "4\n1000000000 -932564530 -841290034 1000000000\n", "output": "3682580068\n" }, { "input": "50\n-5 -9 0 44 -10 37 34 -49 11 -22 -26 44 8 -13 23 -46 34 12 -24 2 -40 -15 -28 38 -40 -42 -42 7 -43 5 2 -11 10 43 9 49 -13 36 2 24 46 50 -15 -26 -4 -6 8 0 -44 -3\n", "output": "200\n" }, { "input": "11\n1000000000 0 2 1000010000 999999999 1 0 1000000000 999999999 1 1000000000\n", "output": "4999999989\n" }, { "input": "2\n1000010000 -552710958\n", "output": "1552720958\n" }, { "input": "2\n-311602853 1000001000\n", "output": "1311603853\n" }, { "input": "4\n1000000000 -511596498 -841290034 1000000000\n", "output": "3023192996\n" }, { "input": "5\n0000000000 0 1 1000000000 -522606768\n", "output": "1522606768\n" }, { "input": "17\n1000000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000 0 0 1000000000 1100000100 0 1 1000000000 1000000000\n", "output": "7999999998\n" }, { "input": "4\n1 6 7 9\n", "output": "6\n" }, { "input": "4\n1000000000 0 2 -849351056\n", "output": "1849351056\n" }, { "input": "5\n0 10 20 22 1\n", "output": "29\n" }, { "input": "9\n1000000000 1 0 1000000000 1000000000 -2 0 1000000100 1000000000\n", "output": "4000000098\n" }, { "input": "2\n1000010000 -1066576956\n", "output": "2066586956\n" }, { "input": "2\n-311602853 1000001100\n", "output": "1311603953\n" }, { "input": "8\n0 14 12 17 8 110 50 0\n", "output": "110\n" }, { "input": "4\n1000000000 -464898743 -841290034 1000000000\n", "output": "2929797486\n" }, { "input": "6\n1001000000 0 0 1000011000 1000000000 1\n", "output": "3000999999\n" }, { "input": "11\n1000100000 0 2 1000010000 999999999 1 -1 1000000000 999999999 1 1000000000\n", "output": "5000099989\n" }, { "input": "17\n1001000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000 0 0 1000000000 1100000100 0 1 1000000000 1000000000\n", "output": "8000999998\n" }, { "input": "2\n4 -1\n", "output": "5\n" }, { "input": "2\n0 0\n", "output": "0\n" }, { "input": "100\n23 64 60 -45 -36 -64 -59 15 -75 69 -30 -7 -20 17 -77 58 93 -76 -121 -34 -31 16 -50 6 -20 -85 1 64 -88 -8 -15 -6 -57 25 91 10 2 -90 74 -66 -42 73 28 49 -85 30 96 79 -25 49 -59 -89 -75 14 -96 -33 -65 -8 -100 -81 17 99 -91 -5 7 -21 1 85 63 86 -26 85 -31 11 -75 35 -82 15 98 93 -55 24 70 36 -38 8 92 -63 -5 60 -78 -7 -22 -1 4 54 36 16 32 -20\n", "output": "626\n" }, { "input": "2\n1000010000 -730740397\n", "output": "1730750397\n" }, { "input": "2\n-536554607 1000001100\n", "output": "1536555707\n" }, { "input": "6\n1001000000 0 0 1000011000 1000000000 0\n", "output": "3001000000\n" }, { "input": "5\n0000000000 0 0 1000000100 -522606768\n", "output": "1522606868\n" }, { "input": "11\n1000100000 0 2 1000010000 1700086927 1 -1 1000000000 999999999 1 1000000000\n", "output": "5000119991\n" }, { "input": "17\n1001000000 0 0 1000000000 1000000000 0 0 1000000000 1000000000 0 1 1000000000 1100000100 0 1 1000000000 1000000000\n", "output": "8000999996\n" }, { "input": "4\n1001000000 1 2 -849351056\n", "output": "1850351056\n" }, { "input": "5\n1 10 20 36 1\n", "output": "35\n" }, { "input": "5\n0000000000 0 0 1000000000 -1000000000\n", "output": "2000000000\n" }, { "input": "4\n1 -1 1 0\n", "output": "2\n" }, { "input": "3\n-1 0 0\n", "output": "1\n" }, { "input": "9\n1000000000 0 0 1000000000 1000000000 -1 0 1000000100 1000000000\n", "output": "4000000100\n" }, { "input": "2\n1 0\n", "output": "1\n" }, { "input": "2\n3 1\n", 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788_A. Functions again
2198
2198_52
Something happened in Uzhlyandia again... There are riots on the streets... Famous Uzhlyandian superheroes Shean the Sheep and Stas the Giraffe were called in order to save the situation. Upon the arriving, they found that citizens are worried about maximum values of the Main Uzhlyandian Function f, which is defined as follows: <image> In the above formula, 1 ≤ l < r ≤ n must hold, where n is the size of the Main Uzhlyandian Array a, and |x| means absolute value of x. But the heroes skipped their math lessons in school, so they asked you for help. Help them calculate the maximum value of f among all possible values of l and r for the given array a. Input The first line contains single integer n (2 ≤ n ≤ 105) — the size of the array a. The second line contains n integers a1, a2, ..., an (-109 ≤ ai ≤ 109) — the array elements. Output Print the only integer — the maximum value of f. Examples Input 5 1 4 2 3 1 Output 3 Input 4 1 5 4 7 Output 6 Note In the first sample case, the optimal value of f is reached on intervals [1, 2] and [2, 5]. In the second case maximal value of f is reachable only on the whole array.
n = int(input()) a = list(map(int, input().split())) b = [] for i in range(n - 1): b.append(abs(a[i] - a[i + 1])) c = [] s = 1 summ = 0 for i in range(n - 1): summ += s * b[i] s = -s c.append(summ) c.sort() if c[0] < 0: print(c[n - 2] - c[0]) else: print(c[n - 2])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 1 4 2 3 1
O(nlogn)
0.000016
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[ 0.000016066367945243452, 0.00001573955347278111, 0.000004727532439371315, 0.000003151924854887149, 0.0000030248685290517987, 0.0000029075874591393588, 0.000002693118168129859, 0.000002546620133313186, 0.000002462292255541546, 0.0000022645636256309463, 0.000002181316534670727, 0.000002095006128025373, 0.0000019408977939126825, 0.000001929159837542731, 0.0000019010498478761308, 0.0000018892603134504674, 0.0000017951905458802886, 0.0000017916784411597332, 0.0000016242045884446165, 0.000001498900208448625, 0.0000014716075990177413, 0.0000014328169133665494, 0.0000013898321118693844, 9.88424469204949e-10, 3.72159090909091e-10, 1.7248279064685315e-10, 8.614558016035182e-11 ]
1165_A. Remainder
1622
1622_305
You are given a huge decimal number consisting of n digits. It is guaranteed that this number has no leading zeros. Each digit of this number is either 0 or 1. You may perform several (possibly zero) operations with this number. During each operation you are allowed to change any digit of your number; you may change 0 to 1 or 1 to 0. It is possible that after some operation you can obtain a number with leading zeroes, but it does not matter for this problem. You are also given two integers 0 ≤ y < x < n. Your task is to calculate the minimum number of operations you should perform to obtain the number that has remainder 10^y modulo 10^x. In other words, the obtained number should have remainder 10^y when divided by 10^x. Input The first line of the input contains three integers n, x, y (0 ≤ y < x < n ≤ 2 ⋅ 10^5) — the length of the number and the integers x and y, respectively. The second line of the input contains one decimal number consisting of n digits, each digit of this number is either 0 or 1. It is guaranteed that the first digit of the number is 1. Output Print one integer — the minimum number of operations you should perform to obtain the number having remainder 10^y modulo 10^x. In other words, the obtained number should have remainder 10^y when divided by 10^x. Examples Input 11 5 2 11010100101 Output 1 Input 11 5 1 11010100101 Output 3 Note In the first example the number will be 11010100100 after performing one operation. It has remainder 100 modulo 100000. In the second example the number will be 11010100010 after performing three operations. It has remainder 10 modulo 100000.
def main(): n, x, y = map(int, input().split()) number = list(input()) count = 0 i = 0 while i < y: if number[-i - 1] != '0': count += 1 number[-i - 1] = '0' i += 1 i += 1 if number[-y - 1] == "0": number[-y -1] = "1" count += 1 while i < x: if number[-i - 1] != '0': count += 1 number[-i - 1] = '0' i += 1 print(count) main()
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int k: int d: int binary_list: List[str] @classmethod def from_str(cls, input_: str): n, k, d = input_.split('\n')[0].split(' ') n, k, d = int(n), int(k), int(d) binary_list = list(input_.split('\n')[1]) return cls(n, k, d, binary_list) def __repr__(self): return ' '.join([str(self.n), str(self.k), str(self.d)]) + '\n' + ''.join(self.binary_list) + '\n'
11 5 2 11010100101
O(n**2)
0
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1165_A. Remainder
1622
1622_48
You are given a huge decimal number consisting of n digits. It is guaranteed that this number has no leading zeros. Each digit of this number is either 0 or 1. You may perform several (possibly zero) operations with this number. During each operation you are allowed to change any digit of your number; you may change 0 to 1 or 1 to 0. It is possible that after some operation you can obtain a number with leading zeroes, but it does not matter for this problem. You are also given two integers 0 ≤ y < x < n. Your task is to calculate the minimum number of operations you should perform to obtain the number that has remainder 10^y modulo 10^x. In other words, the obtained number should have remainder 10^y when divided by 10^x. Input The first line of the input contains three integers n, x, y (0 ≤ y < x < n ≤ 2 ⋅ 10^5) — the length of the number and the integers x and y, respectively. The second line of the input contains one decimal number consisting of n digits, each digit of this number is either 0 or 1. It is guaranteed that the first digit of the number is 1. Output Print one integer — the minimum number of operations you should perform to obtain the number having remainder 10^y modulo 10^x. In other words, the obtained number should have remainder 10^y when divided by 10^x. Examples Input 11 5 2 11010100101 Output 1 Input 11 5 1 11010100101 Output 3 Note In the first example the number will be 11010100100 after performing one operation. It has remainder 100 modulo 100000. In the second example the number will be 11010100010 after performing three operations. It has remainder 10 modulo 100000.
n,x,y = map(int,input().split()) s = input() c=0 for i in range(n-x,n): if(i == n-y-1): #print(1) if(s[i]=='0'): c = c + 1 else: if(s[i]=='1'): c=c+1 print(c)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int k: int d: int binary_list: List[str] @classmethod def from_str(cls, input_: str): n, k, d = input_.split('\n')[0].split(' ') n, k, d = int(n), int(k), int(d) binary_list = list(input_.split('\n')[1]) return cls(n, k, d, binary_list) def __repr__(self): return ' '.join([str(self.n), str(self.k), str(self.d)]) + '\n' + ''.join(self.binary_list) + '\n'
11 5 2 11010100101
O(n)
0.000003
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1395_A. Boboniu Likes to Color Balls
1235
1235_318
Boboniu gives you * r red balls, * g green balls, * b blue balls, * w white balls. He allows you to do the following operation as many times as you want: * Pick a red ball, a green ball, and a blue ball and then change their color to white. You should answer if it's possible to arrange all the balls into a palindrome after several (possibly zero) number of described operations. Input The first line contains one integer T (1≤ T≤ 100) denoting the number of test cases. For each of the next T cases, the first line contains four integers r, g, b and w (0≤ r,g,b,w≤ 10^9). Output For each test case, print "Yes" if it's possible to arrange all the balls into a palindrome after doing several (possibly zero) number of described operations. Otherwise, print "No". Example Input 4 0 1 1 1 8 1 9 3 0 0 0 0 1000000000 1000000000 1000000000 1000000000 Output No Yes Yes Yes Note In the first test case, you're not able to do any operation and you can never arrange three balls of distinct colors into a palindrome. In the second test case, after doing one operation, changing (8,1,9,3) to (7,0,8,6), one of those possible palindromes may be "rrrwwwbbbbrbbbbwwwrrr". A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. For example, "rggbwbggr", "b", "gg" are palindromes while "rgbb", "gbbgr" are not. Notice that an empty word, phrase, or sequence is palindrome.
testcases = int(input()) for i in range(testcases): l = list(map(int , input().split())) odd = 0 for i in l: if(i%2 != 0): odd+=1 if(odd in (0,1,4)) or (odd == 3 and (0 not in (l[0],l[1],l[2]))): print("Yes") else: print("No")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int matrix: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) matrix = [[int(x) for x in line.split(' ')] for line in lines[1:-1]] assert n == len(matrix) return cls(n, matrix) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join([str(x) for x in row]) for row in self.matrix]) + '\n'
4 0 1 1 1 8 1 9 3 0 0 0 0 1000000000 1000000000 1000000000 1000000000
O(n*m)
0.00001
{ "public_tests": [ { "input": "4\n0 1 1 1\n8 1 9 3\n0 0 0 0\n1000000000 1000000000 1000000000 1000000000\n", "output": "No\nYes\nYes\nYes\n" } ], "private_tests": [ { "input": "1\n0 2 2 3\n", "output": "Yes\n" }, { "input": "1\n1 2 2 4\n", "output": "Yes\n" }, { "input": "1\n1 0 3 1\n", "output": "No\n" }, { "input": "1\n1 1 0 0\n", "output": "No\n" }, { "input": "1\n3 0 3 3\n", "output": "No\n" }, { "input": "1\n0 2 2 1\n", "output": "Yes\n" }, { "input": "1\n0 0 1 2\n", "output": "Yes\n" }, { "input": "1\n0 2 2 2\n", "output": "Yes\n" }, { "input": "1\n2 0 0 0\n", "output": "Yes\n" }, { "input": "1\n1 1 0 101\n", "output": "No\n" } ], "generated_tests": [ { "input": "1\n1 2 4 4\n", "output": "YES\n" }, { "input": "1\n1 0 3 0\n", "output": "NO\n" }, { "input": "4\n0 1 1 1\n8 1 9 6\n0 0 0 0\n1000000000 1000000000 1000000000 1000000000\n", "output": "NO\nNO\nYES\nYES\n" }, { "input": "4\n0 1 1 1\n8 1 9 5\n0 0 0 0\n1000000000 1000000000 1000000000 1000000000\n", "output": 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1395_A. Boboniu Likes to Color Balls
1235
1235_283
Boboniu gives you * r red balls, * g green balls, * b blue balls, * w white balls. He allows you to do the following operation as many times as you want: * Pick a red ball, a green ball, and a blue ball and then change their color to white. You should answer if it's possible to arrange all the balls into a palindrome after several (possibly zero) number of described operations. Input The first line contains one integer T (1≤ T≤ 100) denoting the number of test cases. For each of the next T cases, the first line contains four integers r, g, b and w (0≤ r,g,b,w≤ 10^9). Output For each test case, print "Yes" if it's possible to arrange all the balls into a palindrome after doing several (possibly zero) number of described operations. Otherwise, print "No". Example Input 4 0 1 1 1 8 1 9 3 0 0 0 0 1000000000 1000000000 1000000000 1000000000 Output No Yes Yes Yes Note In the first test case, you're not able to do any operation and you can never arrange three balls of distinct colors into a palindrome. In the second test case, after doing one operation, changing (8,1,9,3) to (7,0,8,6), one of those possible palindromes may be "rrrwwwbbbbrbbbbwwwrrr". A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. For example, "rggbwbggr", "b", "gg" are palindromes while "rgbb", "gbbgr" are not. Notice that an empty word, phrase, or sequence is palindrome.
def get_res(a, b, c, d): if a==0 or b==0 or c==0: l = [x%2 for x in [a,b,c,d]] odds = sum(l) if odds > 1: return 'No' else: return 'Yes' else: l = [x%2 for x in [a,b,c,d]] odds = sum(l) if odds == 2: return 'No' else: return 'Yes' n = int(input()) for _ in range(n): lis = list(map(lambda x: int(x), input().split())) print(get_res(*lis))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int matrix: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) matrix = [[int(x) for x in line.split(' ')] for line in lines[1:-1]] assert n == len(matrix) return cls(n, matrix) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join([str(x) for x in row]) for row in self.matrix]) + '\n'
4 0 1 1 1 8 1 9 3 0 0 0 0 1000000000 1000000000 1000000000 1000000000
O(n)
0
{ "public_tests": [ { "input": "4\n0 1 1 1\n8 1 9 3\n0 0 0 0\n1000000000 1000000000 1000000000 1000000000\n", "output": "No\nYes\nYes\nYes\n" } ], "private_tests": [ { "input": "1\n0 2 2 3\n", "output": "Yes\n" }, { "input": "1\n1 2 2 4\n", "output": "Yes\n" }, { "input": "1\n1 0 3 1\n", "output": "No\n" }, { "input": "1\n1 1 0 0\n", "output": "No\n" }, { "input": "1\n3 0 3 3\n", "output": "No\n" }, { "input": "1\n0 2 2 1\n", "output": "Yes\n" }, { "input": "1\n0 0 1 2\n", "output": "Yes\n" }, { "input": "1\n0 2 2 2\n", "output": "Yes\n" }, { "input": "1\n2 0 0 0\n", "output": "Yes\n" }, { "input": "1\n1 1 0 101\n", "output": "No\n" } ], "generated_tests": [ { "input": "1\n1 2 4 4\n", "output": "YES\n" }, { "input": "1\n1 0 3 0\n", "output": "NO\n" }, { "input": "4\n0 1 1 1\n8 1 9 6\n0 0 0 0\n1000000000 1000000000 1000000000 1000000000\n", "output": "NO\nNO\nYES\nYES\n" }, { "input": "4\n0 1 1 1\n8 1 9 5\n0 0 0 0\n1000000000 1000000000 1000000000 1000000000\n", "output": 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1216_D. Swords
1640
1640_35
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you. The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched. The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken. For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a. Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken. Input The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords. The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k. Output Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken. Examples Input 3 3 12 6 Output 5 3 Input 2 2 9 Output 1 7 Input 7 2 1000000000 4 6 8 4 2 Output 2999999987 2 Input 6 13 52 0 13 26 52 Output 12 13 Note In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type. In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
from math import gcd n = int(input()) A = list(map(int, input().split())) m = max(A) g = 0 for i in A: g = gcd(g, m - i) ans = 0 for i in A: ans += (m - i) // g print(ans, g)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
2 2 9
O(n)
0.000002
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2 0 0 0 10 1 7 4 17\n", "output": "908959 1\n" }, { "input": "5\n0 0 1 -2 -1\n", "output": "7 1\n" }, { "input": "3\n3 4 0\n", "output": "5 1\n" }, { "input": "10\n1 1000000000 0 1 2 1 2 1 1 1\n", "output": "8999999990 1\n" }, { "input": "5\n0 1 1 -1 -1\n", "output": "5 1\n" }, { "input": "10\n1 1000000000 0 1 2 1 2 2 1 1\n", "output": "8999999989 1\n" }, { "input": "2\n-1 13\n", "output": "1 14\n" }, { "input": "3\n5 6 0\n", "output": "7 1\n" }, { "input": "7\n1 1000000000 4 6 11 1 0\n", "output": "5999999977 1\n" }, { "input": "10\n1 1000000000 0 1 2 1 2 2 0 1\n", "output": "8999999990 1\n" }, { "input": "3\n5 4 0\n", "output": "6 1\n" }, { "input": "3\n5 4 -1\n", "output": "7 1\n" }, { "input": "10\n1 1000000000 0 1 3 1 2 2 -1 1\n", "output": "8999999990 1\n" }, { "input": "5\n-1 0 1 -1 -1\n", "output": "7 1\n" }, { "input": "7\n1 1000000100 5 6 10 1 0\n", "output": "6000000577 1\n" }, { "input": "10\n1 1000000000 0 0 3 1 2 2 -1 1\n", "output": "8999999991 1\n" }, { "input": "5\n0 0 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1216_D. Swords
1640
1640_36
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you. The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched. The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken. For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a. Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken. Input The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords. The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k. Output Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken. Examples Input 3 3 12 6 Output 5 3 Input 2 2 9 Output 1 7 Input 7 2 1000000000 4 6 8 4 2 Output 2999999987 2 Input 6 13 52 0 13 26 52 Output 12 13 Note In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type. In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
import math n = int(input()) lis = sorted(map(int,input().split()),reverse = True) gg = 0 aa=1 ans=0 for i in range(n): gg = math.gcd(lis[0]-lis[i],gg) for i in range(n): ans+=((lis[0]-lis[i])//gg) print(ans,gg)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
2 2 9
O(nlogn)
0.000005
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451_A. Game With Sticks
536
536_1054
After winning gold and silver in IOI 2014, Akshat and Malvika want to have some fun. Now they are playing a game on a grid made of n horizontal and m vertical sticks. An intersection point is any point on the grid which is formed by the intersection of one horizontal stick and one vertical stick. In the grid shown below, n = 3 and m = 3. There are n + m = 6 sticks in total (horizontal sticks are shown in red and vertical sticks are shown in green). There are n·m = 9 intersection points, numbered from 1 to 9. <image> The rules of the game are very simple. The players move in turns. Akshat won gold, so he makes the first move. During his/her move, a player must choose any remaining intersection point and remove from the grid all sticks which pass through this point. A player will lose the game if he/she cannot make a move (i.e. there are no intersection points remaining on the grid at his/her move). Assume that both players play optimally. Who will win the game? Input The first line of input contains two space-separated integers, n and m (1 ≤ n, m ≤ 100). Output Print a single line containing "Akshat" or "Malvika" (without the quotes), depending on the winner of the game. Examples Input 2 2 Output Malvika Input 2 3 Output Malvika Input 3 3 Output Akshat Note Explanation of the first sample: The grid has four intersection points, numbered from 1 to 4. <image> If Akshat chooses intersection point 1, then he will remove two sticks (1 - 2 and 1 - 3). The resulting grid will look like this. <image> Now there is only one remaining intersection point (i.e. 4). Malvika must choose it and remove both remaining sticks. After her move the grid will be empty. In the empty grid, Akshat cannot make any move, hence he will lose. Since all 4 intersection points of the grid are equivalent, Akshat will lose no matter which one he picks.
r, c = map(int, input().split()) t = r*c i = 0 while t !=0: r = r-1 c=c-1 t = r*c i += 1 if i%2 == 0: print("Malvika") else: print("Akshat")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: a: int b: int @classmethod def from_str(cls, input_: str): a, b = input_.split('\n')[0].split(' ') a = int(a) b = int(b) return cls(a, b) def __repr__(self): return str(self.a) + ' ' + str(self.b) + '\n'
2 3
O(n+m)
0.000001
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451_A. Game With Sticks
536
536_697
After winning gold and silver in IOI 2014, Akshat and Malvika want to have some fun. Now they are playing a game on a grid made of n horizontal and m vertical sticks. An intersection point is any point on the grid which is formed by the intersection of one horizontal stick and one vertical stick. In the grid shown below, n = 3 and m = 3. There are n + m = 6 sticks in total (horizontal sticks are shown in red and vertical sticks are shown in green). There are n·m = 9 intersection points, numbered from 1 to 9. <image> The rules of the game are very simple. The players move in turns. Akshat won gold, so he makes the first move. During his/her move, a player must choose any remaining intersection point and remove from the grid all sticks which pass through this point. A player will lose the game if he/she cannot make a move (i.e. there are no intersection points remaining on the grid at his/her move). Assume that both players play optimally. Who will win the game? Input The first line of input contains two space-separated integers, n and m (1 ≤ n, m ≤ 100). Output Print a single line containing "Akshat" or "Malvika" (without the quotes), depending on the winner of the game. Examples Input 2 2 Output Malvika Input 2 3 Output Malvika Input 3 3 Output Akshat Note Explanation of the first sample: The grid has four intersection points, numbered from 1 to 4. <image> If Akshat chooses intersection point 1, then he will remove two sticks (1 - 2 and 1 - 3). The resulting grid will look like this. <image> Now there is only one remaining intersection point (i.e. 4). Malvika must choose it and remove both remaining sticks. After her move the grid will be empty. In the empty grid, Akshat cannot make any move, hence he will lose. Since all 4 intersection points of the grid are equivalent, Akshat will lose no matter which one he picks.
#!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Mon Apr 10 15:10:38 2017 @author: lawrenceylong """ answer = min(map(int,input().split())) print("Malvika") if answer%2 == 0 else print("Akshat")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: a: int b: int @classmethod def from_str(cls, input_: str): a, b = input_.split('\n')[0].split(' ') a = int(a) b = int(b) return cls(a, b) def __repr__(self): return str(self.a) + ' ' + str(self.b) + '\n'
2 3
O(1)
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1084_B. Kvass and the Fair Nut
2514
2514_176
The Fair Nut likes kvass very much. On his birthday parents presented him n kegs of kvass. There are v_i liters of kvass in the i-th keg. Each keg has a lever. You can pour your glass by exactly 1 liter pulling this lever. The Fair Nut likes this drink very much, so he wants to pour his glass by s liters of kvass. But he wants to do it, so kvass level in the least keg is as much as possible. Help him find out how much kvass can be in the least keg or define it's not possible to pour his glass by s liters of kvass. Input The first line contains two integers n and s (1 ≤ n ≤ 10^3, 1 ≤ s ≤ 10^{12}) — the number of kegs and glass volume. The second line contains n integers v_1, v_2, …, v_n (1 ≤ v_i ≤ 10^9) — the volume of i-th keg. Output If the Fair Nut cannot pour his glass by s liters of kvass, print -1. Otherwise, print a single integer — how much kvass in the least keg can be. Examples Input 3 3 4 3 5 Output 3 Input 3 4 5 3 4 Output 2 Input 3 7 1 2 3 Output -1 Note In the first example, the answer is 3, the Fair Nut can take 1 liter from the first keg and 2 liters from the third keg. There are 3 liters of kvass in each keg. In the second example, the answer is 2, the Fair Nut can take 3 liters from the first keg and 1 liter from the second keg. In the third example, the Fair Nut can't pour his cup by 7 liters, so the answer is -1.
import math n, s = map(int, input().split()) v = list(map(int, input().split())) least = min(v) if sum(v) < s: print(-1) else: for i in v: s -= (i-least) if s > 0: least -= ((s+n-1)/n) print(math.ceil(least))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: a: int b: int c_list: List[int] @classmethod def from_str(cls, input_: str): a, b = map(int, input_.split('\n')[0].split(' ')) c_list = [int(x) for x in input_.split('\n')[1].split(' ')] return cls(a, b, c_list) def __repr__(self): return str(self.a) + ' ' + str(self.b) + '\n' + ' '.join([str(x) for x in self.c_list]) + '\n'
3 4 5 3 4
O(n)
0.000002
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1084_B. Kvass and the Fair Nut
2514
2514_221
The Fair Nut likes kvass very much. On his birthday parents presented him n kegs of kvass. There are v_i liters of kvass in the i-th keg. Each keg has a lever. You can pour your glass by exactly 1 liter pulling this lever. The Fair Nut likes this drink very much, so he wants to pour his glass by s liters of kvass. But he wants to do it, so kvass level in the least keg is as much as possible. Help him find out how much kvass can be in the least keg or define it's not possible to pour his glass by s liters of kvass. Input The first line contains two integers n and s (1 ≤ n ≤ 10^3, 1 ≤ s ≤ 10^{12}) — the number of kegs and glass volume. The second line contains n integers v_1, v_2, …, v_n (1 ≤ v_i ≤ 10^9) — the volume of i-th keg. Output If the Fair Nut cannot pour his glass by s liters of kvass, print -1. Otherwise, print a single integer — how much kvass in the least keg can be. Examples Input 3 3 4 3 5 Output 3 Input 3 4 5 3 4 Output 2 Input 3 7 1 2 3 Output -1 Note In the first example, the answer is 3, the Fair Nut can take 1 liter from the first keg and 2 liters from the third keg. There are 3 liters of kvass in each keg. In the second example, the answer is 2, the Fair Nut can take 3 liters from the first keg and 1 liter from the second keg. In the third example, the Fair Nut can't pour his cup by 7 liters, so the answer is -1.
n = list(map(int,input().split())) s = n[1] n = n[0] a = list(map(int,input().split())) a = sorted(a,reverse = True) k = min(a) su = 0 if s > sum(a): print(-1) else: for i in range(len(a)): if a[i] > k: su += (a[i]-k) a[i] = k if su >= s: break if su < s: k = (n*k-(s-su))//n print(k) else: print(k)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: a: int b: int c_list: List[int] @classmethod def from_str(cls, input_: str): a, b = map(int, input_.split('\n')[0].split(' ')) c_list = [int(x) for x in input_.split('\n')[1].split(' ')] return cls(a, b, c_list) def __repr__(self): return str(self.a) + ' ' + str(self.b) + '\n' + ' '.join([str(x) for x in self.c_list]) + '\n'
3 4 5 3 4
O(nlogn)
0.000008
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960_A. Check the string
1368
1368_109
A has a string consisting of some number of lowercase English letters 'a'. He gives it to his friend B who appends some number of letters 'b' to the end of this string. Since both A and B like the characters 'a' and 'b', they have made sure that at this point, at least one 'a' and one 'b' exist in the string. B now gives this string to C and he appends some number of letters 'c' to the end of the string. However, since C is a good friend of A and B, the number of letters 'c' he appends is equal to the number of 'a' or to the number of 'b' in the string. It is also possible that the number of letters 'c' equals both to the number of letters 'a' and to the number of letters 'b' at the same time. You have a string in your hands, and you want to check if it is possible to obtain the string in this way or not. If it is possible to obtain the string, print "YES", otherwise print "NO" (without the quotes). Input The first and only line consists of a string S ( 1 ≤ |S| ≤ 5 000 ). It is guaranteed that the string will only consist of the lowercase English letters 'a', 'b', 'c'. Output Print "YES" or "NO", according to the condition. Examples Input aaabccc Output YES Input bbacc Output NO Input aabc Output YES Note Consider first example: the number of 'c' is equal to the number of 'a'. Consider second example: although the number of 'c' is equal to the number of the 'b', the order is not correct. Consider third example: the number of 'c' is equal to the number of 'b'.
s=input() step=0 flag=1 suma=0;sumb=0;sumc=0 for i in range(len(s)): if s[i]!='a': step=i break suma+=1 for i in range(step,len(s)): if s[i]!='b': step=i break sumb+=1 for i in range(step,len(s)): if s[i]!='c': flag=0 break sumc+=1 step=i if step!=len(s)-1: flag=0 if suma>0 and sumb>0 and sumc>0 and (sumc==suma or sumc==sumb) and flag==1: print('YES') else: print('NO')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): s = input_.split('\n')[0] return cls(s) def __repr__(self): return self.s + '\n'
aabc
O(n)
0.000001
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"cdaa\n", "output": "NO\n" }, { "input": "acacbcbab\n", "output": "NO\n" }, { "input": "abb\n", "output": "NO\n" }, { "input": "cabbaaccda\n", "output": "NO\n" }, { "input": "ccb\n", "output": "NO\n" }, { "input": "bccb\n", "output": "NO\n" }, { "input": "bbba\n", "output": "NO\n" }, { "input": "ccbaa\n", "output": "NO\n" }, { "input": "caaba\n", "output": "NO\n" }, { "input": "bbcbc\n", "output": "NO\n" }, { "input": "bbbabbaaaaa\n", "output": "NO\n" }, { "input": "acb\n", "output": "NO\n" }, { "input": "caab\n", "output": "NO\n" }, { "input": "dcabba\n", "output": "NO\n" }, { "input": "cdba\n", "output": "NO\n" }, { "input": "aabdccab\n", "output": "NO\n" }, { "input": "abcbc\n", "output": "NO\n" }, { "input": "ccbca\n", "output": "NO\n" }, { "input": "ce\n", "output": "NO\n" }, { "input": "daac\n", "output": "NO\n" }, { "input": "aba\n", "output": "NO\n" }, { "input": "cccaaa\n", "output": "NO\n" }, { "input": "babbcbcc\n", "output": "NO\n" }, { "input": "cccaabbaa\n", "output": "NO\n" }, { "input": "bbabc\n", "output": "NO\n" }, { "input": "ccaacaa\n", "output": "NO\n" }, { "input": "abbcba\n", "output": "NO\n" }, { "input": "baca\n", "output": "NO\n" }, { "input": "dcba\n", "output": "NO\n" }, { "input": "bcacbcaab\n", "output": "NO\n" }, { "input": "bba\n", "output": "NO\n" }, { "input": "cabcaaccda\n", "output": "NO\n" }, { "input": "cca\n", "output": "NO\n" }, { "input": "bcbc\n", "output": "NO\n" }, { "input": "baba\n", "output": "NO\n" }, { "input": "cabac\n", "output": "NO\n" }, { "input": "caaab\n", "output": "NO\n" }, { "input": "bbdbc\n", "output": "NO\n" }, { "input": "acc\n", "output": "NO\n" }, { "input": "aacb\n", "output": "NO\n" }, { "input": "dcabaa\n", "output": "NO\n" } ] }
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960_A. Check the string
1368
1368_67
A has a string consisting of some number of lowercase English letters 'a'. He gives it to his friend B who appends some number of letters 'b' to the end of this string. Since both A and B like the characters 'a' and 'b', they have made sure that at this point, at least one 'a' and one 'b' exist in the string. B now gives this string to C and he appends some number of letters 'c' to the end of the string. However, since C is a good friend of A and B, the number of letters 'c' he appends is equal to the number of 'a' or to the number of 'b' in the string. It is also possible that the number of letters 'c' equals both to the number of letters 'a' and to the number of letters 'b' at the same time. You have a string in your hands, and you want to check if it is possible to obtain the string in this way or not. If it is possible to obtain the string, print "YES", otherwise print "NO" (without the quotes). Input The first and only line consists of a string S ( 1 ≤ |S| ≤ 5 000 ). It is guaranteed that the string will only consist of the lowercase English letters 'a', 'b', 'c'. Output Print "YES" or "NO", according to the condition. Examples Input aaabccc Output YES Input bbacc Output NO Input aabc Output YES Note Consider first example: the number of 'c' is equal to the number of 'a'. Consider second example: although the number of 'c' is equal to the number of the 'b', the order is not correct. Consider third example: the number of 'c' is equal to the number of 'b'.
from collections import defaultdict s = list(input()) t = sorted(s) flag = True if s[0] != "a": flag = False if s != t: flag = False dic = defaultdict(int) for i in s: dic[i] += 1 if dic["a"] == 0 or dic["b"] == 0: flag = False if dic["a"] != dic["c"] and dic["b"] != dic["c"]: flag = False if flag: print("YES") else: print("NO")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: s: str @classmethod def from_str(cls, input_: str): s = input_.split('\n')[0] return cls(s) def __repr__(self): return self.s + '\n'
aabc
O(nlogn)
0.000011
{ "public_tests": [ { "input": "aabc\n", "output": "YES\n" }, { "input": "aaabccc\n", "output": "YES\n" }, { "input": "bbacc\n", "output": "NO\n" } ], "private_tests": [ { "input": "aa\n", "output": "NO\n" }, { "input": "ccbcc\n", "output": "NO\n" }, { "input": "bc\n", "output": "NO\n" }, { "input": "c\n", "output": "NO\n" }, { "input": "babc\n", "output": "NO\n" }, { "input": "aaa\n", "output": "NO\n" }, { "input": "aaccaa\n", "output": "NO\n" }, { "input": "aabbcc\n", "output": "YES\n" }, { "input": "aabbcccc\n", "output": "NO\n" }, { "input": "b\n", "output": "NO\n" }, { "input": "cc\n", "output": "NO\n" }, { "input": "ccbbaa\n", "output": "NO\n" }, { "input": "abababccc\n", "output": "NO\n" }, { "input": "acbbc\n", "output": "NO\n" }, { "input": "aabb\n", "output": "NO\n" }, { "input": "aabaccc\n", "output": "NO\n" }, { "input": "bbabbc\n", "output": "NO\n" }, { "input": "ac\n", "output": "NO\n" }, { "input": "acba\n", "output": "NO\n" }, { "input": "abcb\n", "output": "NO\n" }, { "input": "aacc\n", "output": "NO\n" }, { "input": "aabcbcaca\n", "output": "NO\n" }, { "input": "bbb\n", "output": "NO\n" }, { "input": "aabbaacccc\n", "output": "NO\n" }, { "input": "bbc\n", "output": "NO\n" }, { "input": "a\n", "output": "NO\n" }, { "input": "bbcc\n", "output": "NO\n" }, { "input": "abca\n", "output": "NO\n" }, { "input": "abacc\n", "output": "NO\n" }, { "input": "ababc\n", "output": "NO\n" }, { "input": "bbbcc\n", "output": "NO\n" }, { "input": "aaaaabbbbbb\n", "output": "NO\n" }, { "input": "aaabcbc\n", "output": "NO\n" }, { "input": "abc\n", "output": "YES\n" }, { "input": "abac\n", "output": "NO\n" }, { "input": "abbacc\n", "output": "NO\n" }, { "input": "abcc\n", "output": "NO\n" }, { "input": "aaacccbb\n", "output": "NO\n" }, { "input": "bbbabacca\n", "output": "NO\n" } ], "generated_tests": [ { "input": "ab\n", "output": "NO\n" }, { "input": "aabcc\n", "output": "YES\n" }, { "input": "bcbcc\n", "output": "NO\n" }, { "input": "cb\n", "output": "NO\n" }, { "input": "bacc\n", "output": "NO\n" }, { "input": "aab\n", "output": "NO\n" }, { "input": "aadcaa\n", "output": "NO\n" }, { "input": "aabccc\n", "output": "NO\n" }, { "input": "ccccbbaa\n", "output": "NO\n" }, { "input": "dc\n", "output": "NO\n" }, { "input": "cbcbaa\n", "output": "NO\n" }, { "input": "abbbaaccc\n", "output": "NO\n" }, { "input": "bcabc\n", "output": "NO\n" }, { "input": "bbaa\n", "output": "NO\n" }, { "input": "aacabcc\n", "output": "NO\n" }, { "input": "bbcbba\n", "output": "NO\n" }, { "input": "ca\n", "output": "NO\n" }, { "input": "acaa\n", "output": "NO\n" }, { "input": "bcba\n", "output": "NO\n" }, { "input": "ccaa\n", "output": "NO\n" }, { "input": "babcbcaca\n", "output": "NO\n" }, { "input": "bab\n", "output": "NO\n" }, { "input": "cabbaaccca\n", "output": "NO\n" }, { "input": "cbb\n", "output": "NO\n" }, { "input": "bccc\n", "output": "NO\n" }, { "input": "bbca\n", "output": "NO\n" }, { "input": "abaac\n", "output": "NO\n" }, { "input": "bbbbc\n", "output": "NO\n" }, { "input": "aaaaabbabbb\n", "output": "NO\n" }, { "input": "bcb\n", "output": "NO\n" }, { "input": "baac\n", "output": "NO\n" }, { "input": "ccabba\n", "output": "NO\n" }, { "input": "ccba\n", "output": "NO\n" }, { "input": "aabcccab\n", "output": "NO\n" }, { "input": "bbbabbcca\n", "output": "NO\n" }, { "input": "cccbaaa\n", "output": "NO\n" }, { "input": "bbcac\n", "output": "NO\n" }, { "input": "bb\n", "output": "NO\n" }, { "input": "ccbcb\n", "output": "NO\n" }, { "input": "cd\n", "output": "NO\n" }, { "input": "caac\n", "output": "NO\n" }, { "input": "baa\n", "output": "NO\n" }, { "input": "cccbaa\n", "output": "NO\n" }, { "input": "babbcccc\n", "output": "NO\n" }, { "input": "cccaabbba\n", "output": "NO\n" }, { "input": "cbacb\n", "output": "NO\n" }, { "input": "aacaacc\n", "output": "NO\n" }, { "input": "abcbba\n", "output": "NO\n" }, { "input": "ba\n", "output": "NO\n" }, { "input": "acab\n", "output": "NO\n" }, { "input": "bcaa\n", "output": "NO\n" }, { "input": "cdaa\n", "output": "NO\n" }, { "input": "acacbcbab\n", "output": "NO\n" }, { "input": "abb\n", "output": "NO\n" }, { "input": "cabbaaccda\n", "output": "NO\n" }, { "input": "ccb\n", "output": "NO\n" }, { "input": "bccb\n", "output": "NO\n" }, { "input": "bbba\n", "output": "NO\n" }, { "input": "ccbaa\n", "output": "NO\n" }, { "input": "caaba\n", "output": "NO\n" }, { "input": "bbcbc\n", "output": "NO\n" }, { "input": "bbbabbaaaaa\n", "output": "NO\n" }, { "input": "acb\n", "output": "NO\n" }, { "input": "caab\n", "output": "NO\n" }, { "input": "dcabba\n", "output": "NO\n" }, { "input": "cdba\n", "output": "NO\n" }, { "input": "aabdccab\n", "output": "NO\n" }, { "input": "abcbc\n", "output": "NO\n" }, { "input": "ccbca\n", "output": "NO\n" }, { "input": "ce\n", "output": "NO\n" }, { "input": "daac\n", "output": "NO\n" }, { "input": "aba\n", "output": "NO\n" }, { "input": "cccaaa\n", "output": "NO\n" }, { "input": "babbcbcc\n", "output": "NO\n" }, { "input": "cccaabbaa\n", "output": "NO\n" }, { "input": "bbabc\n", "output": "NO\n" }, { "input": "ccaacaa\n", "output": "NO\n" }, { "input": "abbcba\n", "output": "NO\n" }, { "input": "baca\n", "output": "NO\n" }, { "input": "dcba\n", "output": "NO\n" }, { "input": "bcacbcaab\n", "output": "NO\n" }, { "input": "bba\n", "output": "NO\n" }, { "input": "cabcaaccda\n", "output": "NO\n" }, { "input": "cca\n", "output": "NO\n" }, { "input": "bcbc\n", "output": "NO\n" }, { "input": "baba\n", "output": "NO\n" }, { "input": "cabac\n", "output": "NO\n" }, { "input": "caaab\n", "output": "NO\n" }, { "input": "bbdbc\n", "output": "NO\n" }, { "input": "acc\n", "output": "NO\n" }, { "input": "aacb\n", "output": "NO\n" }, { "input": "dcabaa\n", "output": "NO\n" } ] }
[ 0.000011478800127500992, 0.00001132159700748942, 0.000011314014805851288, 0.000011196662390491169, 0.000011175635796266095, 0.000011174640038338076, 0.00001113925858729683, 0.000011137247633427017, 0.000011136440286871882, 0.000011130085606748583, 0.000011123692116204894, 0.000011110300530992106, 0.000011106481948049491, 0.000011104946888283523, 0.000011096326104867622, 0.000011081108802117604, 0.000011081083100097517, 0.000011075629996980134, 0.000011040172836688525, 0.000011033800863262738, 0.000011031901207661421, 0.000010999922297821787, 0.000010989402899818452, 0.000010976622222079158, 0.00001096467384031336, 0.000010949451449790338, 0.000010948713019521243, 0.000010945581320715275, 0.000010931799583185027, 0.000010929903157093615, 0.000010928218372046998, 0.000010926583487908667, 0.000010918094989662584, 0.000010906280336147694, 0.000010902699249047716, 0.000010874294700464437, 0.000010854917922224358 ]
p03523 CODE FESTIVAL 2017 Final - AKIBA
831
831_184
You are given a string S. Takahashi can insert the character `A` at any position in this string any number of times. Can he change S into `AKIHABARA`? Constraints * 1 \leq |S| \leq 50 * S consists of uppercase English letters. Input Input is given from Standard Input in the following format: S Output If it is possible to change S into `AKIHABARA`, print `YES`; otherwise, print `NO`. Examples Input KIHBR Output YES Input AKIBAHARA Output NO Input AAKIAHBAARA Output NO
S = list(input()) T = list("AKIHABARA") ans = "YES" i = 0 while i < len(S) and i < 9: if S[i] != T[i]: if T[i] == "A": S.insert(i,"A") i += 1 if S[-1] != "A": S += "A" if S == T: print("YES") else: print("NO")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: word: str @classmethod def from_str(cls, input_: str): word, _ = input_, None if input_.endswith('\n'): word, _ = input_.rsplit('\n', 1) return cls(word) def __repr__(self): return self.word + '\n'
AKIBAHARA
O(n)
0
{ "public_tests": [ { "input": "AKIBAHARA", "output": "NO" }, { "input": "KIHBR", "output": "YES" }, { "input": "AAKIAHBAARA", "output": "NO" } ], "private_tests": [], "generated_tests": [ { "input": "AKIBAAARH", "output": "NO\n" }, { "input": "JIHBR", "output": "NO\n" }, { "input": "ARAABHAIKAA", "output": "NO\n" }, { "input": "HRAAABIKA", "output": "NO\n" }, { "input": "RBHIJ", "output": "NO\n" }, { "input": "AR@ABHAIKAA", "output": "NO\n" }, { "input": "HRAAABHKA", "output": "NO\n" }, { "input": "QBHIJ", "output": "NO\n" }, { "input": "AR@ABHAIJAA", "output": "NO\n" }, { "input": "AKHBAAARH", "output": "NO\n" }, { "input": "PBHIJ", "output": "NO\n" }, { "input": "AAJIAHBA@RA", "output": "NO\n" }, { "input": "ALHBAAARH", "output": "NO\n" }, { "input": "JIHBP", "output": "NO\n" }, { "input": "AAIJAHBA@RA", "output": "NO\n" }, { "input": "HRAAABHLA", "output": "NO\n" }, { "input": "PBHIK", "output": "NO\n" }, { "input": "A@IJAHBA@RA", "output": "NO\n" }, { "input": "RKHBAAAAH", "output": "NO\n" }, { "input": "PBGIK", "output": "NO\n" }, { "input": "A@IKAHBA@RA", "output": "NO\n" }, { "input": "RKHB@AAAH", "output": "NO\n" }, { "input": "PBGIL", "output": "NO\n" }, { "input": "A@IKAIBA@RA", "output": "NO\n" }, { "input": "RJHB@AAAH", "output": "NO\n" }, { "input": "PBLIG", "output": "NO\n" }, { "input": "A@IKAIBB@RA", "output": "NO\n" }, { "input": "RJHBAAAAH", "output": "NO\n" }, { "input": "PILBG", "output": "NO\n" }, { "input": "A@IKAIBC@RA", "output": "NO\n" }, { "input": "RJHBAAAAI", "output": "NO\n" }, { "input": "GBLIP", "output": "NO\n" }, { "input": "AR@CBIAKI@A", "output": "NO\n" }, { "input": "RJHBAAA@I", "output": "NO\n" }, { "input": "GBKIP", "output": "NO\n" }, { "input": "AR@ABICKI@A", "output": "NO\n" }, { "input": "I@AAABHJR", "output": "NO\n" }, { "input": "HBKIP", "output": "NO\n" }, { "input": "AR@ABICIK@A", "output": "NO\n" }, { "input": "IAAAABHJR", "output": "NO\n" }, { "input": "PIKBH", "output": "NO\n" }, { "input": "A@KICIBA@RA", "output": "NO\n" }, { "input": "IAAA@BHJR", "output": "NO\n" }, { "input": "GAKIP", "output": "NO\n" }, { "input": "A@KICHBA@RA", "output": "NO\n" }, { "input": "IABA@BHJR", "output": "NO\n" }, { "input": "GAIKP", "output": "NO\n" }, { "input": "A@KICHBA@RB", "output": "NO\n" }, { "input": "IABA@CHJR", "output": "NO\n" }, { "input": "PKIAG", "output": "NO\n" }, { "input": "A@KHCHBA@RB", "output": "NO\n" }, { "input": "RJHC@ABAI", "output": "NO\n" }, { "input": "PJIAG", "output": "NO\n" }, { "input": "A@KHC@BAHRB", "output": "NO\n" }, { "input": "RJHB@ABAI", "output": "NO\n" }, { "input": "PIJAG", "output": "NO\n" }, { "input": "BRHAB@CHK@A", "output": "NO\n" }, { "input": "IAB@@BHJR", "output": "NO\n" }, { "input": "QIJAG", "output": "NO\n" }, { "input": "ARHAB@CHK@A", "output": "NO\n" }, { "input": "IAB@@BHJQ", "output": "NO\n" }, { "input": "RIJAG", "output": "NO\n" }, { "input": "ARHABC@HK@A", "output": "NO\n" }, { "input": "QJHB@@BAI", "output": "NO\n" }, { "input": "GAJIR", "output": "NO\n" }, { "input": "ARHA@C@HKBA", "output": "NO\n" }, { "input": "QJHA@@BBI", "output": "NO\n" }, { "input": "RIAJG", "output": "NO\n" }, { "input": "ARHA@C?HKBA", "output": "NO\n" }, { "input": "IBB@@AHJQ", "output": "NO\n" }, { "input": "RIAJF", "output": "NO\n" }, { "input": "AQHA@C?HKBA", "output": "NO\n" }, { "input": "QJHA@@ABI", "output": "NO\n" }, { "input": "IRAJF", "output": "NO\n" }, { "input": "AQHA@CBHK?A", "output": "NO\n" }, { "input": "QJHA@@@BI", "output": "NO\n" }, { "input": "FJARI", "output": "NO\n" }, { "input": "AQHA@CBHK>A", "output": "NO\n" }, { "input": "QIHA@@@BI", "output": "NO\n" }, { "input": "IJARF", "output": "NO\n" }, { "input": "AQHA@DBHK>A", "output": "NO\n" }, { "input": "Q@HA@I@BI", "output": "NO\n" }, { "input": "FRAJI", "output": "NO\n" }, { "input": "AQHA@DBHK>B", "output": "NO\n" }, { "input": "QH@A@I@BI", "output": "NO\n" }, { "input": "ERAJI", "output": "NO\n" }, { "input": "B>KHBD@AHQA", "output": "NO\n" }, { "input": "IB@I@A@HQ", "output": "NO\n" }, { "input": "ERBJI", "output": "NO\n" }, { "input": "B>KHBDAAHQA", "output": "NO\n" }, { "input": "IB@H@A@HQ", "output": "NO\n" }, { "input": "DRAJI", "output": "NO\n" }, { "input": "AQHAADBHK>B", "output": "NO\n" }, { "input": "IB@I@AAHQ", "output": "NO\n" }, { "input": "DSAJI", "output": "NO\n" }, { "input": "AQ>AADBHKHB", "output": "NO\n" }, { "input": "QHAA@I@BI", "output": "NO\n" }, { "input": "ESAJI", "output": "NO\n" }, { "input": "BHKHBDAA>QA", "output": "NO\n" }, { "input": "RHAA@I@BI", "output": "NO\n" } ] }
[ 0.00000536140268520542, 0.0000034470563128277976, 0.0000019225328753277977, 2.4077565013111886e-7, 1.1783619700611888e-7, 6.511386855332169e-8, 4.86566597465035e-8, 4.81149885270979e-8, 4.599830638111888e-8, 4.458059713723776e-8, 4.181501311188811e-8, 3.951454600087413e-8, 3.9187677556818184e-8, 3.90571323208042e-8, 3.892511199737763e-8, 3.882908107517483e-8, 3.854694329108392e-8, 3.7783653846153854e-8, 3.768722683566435e-8, 3.762017864947553e-8, 3.7591810533216785e-8, 3.755390898164336e-8, 3.732281195367134e-8, 3.727845006555944e-8, 3.727525404283217e-8, 3.717477054195805e-8, 3.0050098339160845e-8, 7.208492679195806e-9, 6.083164881993007e-9, 4.4761254370629425e-9, 4.25079217657343e-9, 4.246107408216784e-9, 3.4602409309440565e-9, 3.3622978583916083e-9, 3.2634123688811237e-9, 3.195039335664336e-9, 3.1859839379370632e-9, 2.874877076048953e-9, 2.261390952797203e-9 ]
p03523 CODE FESTIVAL 2017 Final - AKIBA
831
831_74
You are given a string S. Takahashi can insert the character `A` at any position in this string any number of times. Can he change S into `AKIHABARA`? Constraints * 1 \leq |S| \leq 50 * S consists of uppercase English letters. Input Input is given from Standard Input in the following format: S Output If it is possible to change S into `AKIHABARA`, print `YES`; otherwise, print `NO`. Examples Input KIHBR Output YES Input AKIBAHARA Output NO Input AAKIAHBAARA Output NO
import re S = input() print('YES' if re.match(r'^A?KIHA?BA?RA?$', S) else 'NO')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: word: str @classmethod def from_str(cls, input_: str): word, _ = input_, None if input_.endswith('\n'): word, _ = input_.rsplit('\n', 1) return cls(word) def __repr__(self): return self.word + '\n'
AKIBAHARA
O(1)
0.000001
{ "public_tests": [ { "input": "AKIBAHARA", "output": "NO" }, { "input": "KIHBR", "output": "YES" }, { "input": "AAKIAHBAARA", "output": "NO" } ], "private_tests": [], "generated_tests": [ { "input": "AKIBAAARH", "output": "NO\n" }, { "input": "JIHBR", "output": "NO\n" }, { "input": "ARAABHAIKAA", "output": "NO\n" }, { "input": "HRAAABIKA", "output": "NO\n" }, { "input": "RBHIJ", "output": "NO\n" }, { "input": "AR@ABHAIKAA", "output": "NO\n" }, { "input": "HRAAABHKA", "output": "NO\n" }, { "input": "QBHIJ", "output": "NO\n" }, { "input": "AR@ABHAIJAA", "output": "NO\n" }, { "input": "AKHBAAARH", "output": "NO\n" }, { "input": "PBHIJ", "output": "NO\n" }, { "input": "AAJIAHBA@RA", "output": "NO\n" }, { "input": "ALHBAAARH", "output": "NO\n" }, { "input": "JIHBP", "output": "NO\n" }, { "input": "AAIJAHBA@RA", "output": "NO\n" }, { "input": "HRAAABHLA", "output": "NO\n" }, { "input": "PBHIK", "output": "NO\n" }, { "input": "A@IJAHBA@RA", "output": "NO\n" }, { "input": "RKHBAAAAH", "output": "NO\n" }, { "input": "PBGIK", "output": "NO\n" }, { "input": "A@IKAHBA@RA", "output": "NO\n" }, { "input": "RKHB@AAAH", "output": "NO\n" }, { "input": "PBGIL", "output": "NO\n" }, { "input": "A@IKAIBA@RA", "output": "NO\n" }, { "input": "RJHB@AAAH", "output": "NO\n" }, { "input": "PBLIG", "output": "NO\n" }, { "input": "A@IKAIBB@RA", "output": "NO\n" }, { "input": "RJHBAAAAH", "output": "NO\n" }, { "input": "PILBG", "output": "NO\n" }, { "input": "A@IKAIBC@RA", "output": "NO\n" }, { "input": "RJHBAAAAI", "output": "NO\n" }, { "input": "GBLIP", "output": "NO\n" }, { "input": "AR@CBIAKI@A", "output": "NO\n" }, { "input": "RJHBAAA@I", "output": "NO\n" }, { "input": "GBKIP", "output": "NO\n" }, { "input": "AR@ABICKI@A", "output": "NO\n" }, { "input": "I@AAABHJR", "output": "NO\n" }, { "input": "HBKIP", "output": "NO\n" }, { "input": "AR@ABICIK@A", "output": "NO\n" }, { "input": "IAAAABHJR", "output": "NO\n" }, { "input": "PIKBH", "output": "NO\n" }, { "input": "A@KICIBA@RA", "output": "NO\n" }, { "input": "IAAA@BHJR", "output": "NO\n" }, { "input": "GAKIP", "output": "NO\n" }, { "input": "A@KICHBA@RA", "output": "NO\n" }, { "input": "IABA@BHJR", "output": "NO\n" }, { "input": "GAIKP", "output": "NO\n" }, { "input": "A@KICHBA@RB", "output": "NO\n" }, { "input": "IABA@CHJR", "output": "NO\n" }, { "input": "PKIAG", "output": "NO\n" }, { "input": "A@KHCHBA@RB", "output": "NO\n" }, { "input": "RJHC@ABAI", "output": "NO\n" }, { "input": "PJIAG", "output": "NO\n" }, { "input": "A@KHC@BAHRB", "output": "NO\n" }, { "input": "RJHB@ABAI", "output": "NO\n" }, { "input": "PIJAG", "output": "NO\n" }, { "input": "BRHAB@CHK@A", "output": "NO\n" }, { "input": "IAB@@BHJR", "output": "NO\n" }, { "input": "QIJAG", "output": "NO\n" }, { "input": "ARHAB@CHK@A", "output": "NO\n" }, { "input": "IAB@@BHJQ", "output": "NO\n" }, { "input": "RIJAG", "output": "NO\n" }, { "input": "ARHABC@HK@A", "output": "NO\n" }, { "input": "QJHB@@BAI", "output": "NO\n" }, { "input": "GAJIR", "output": "NO\n" }, { "input": "ARHA@C@HKBA", "output": "NO\n" }, { "input": "QJHA@@BBI", "output": "NO\n" }, { "input": "RIAJG", "output": "NO\n" }, { "input": "ARHA@C?HKBA", "output": "NO\n" }, { "input": "IBB@@AHJQ", "output": "NO\n" }, { "input": "RIAJF", "output": "NO\n" }, { "input": "AQHA@C?HKBA", "output": "NO\n" }, { "input": "QJHA@@ABI", "output": "NO\n" }, { "input": "IRAJF", "output": "NO\n" }, { "input": "AQHA@CBHK?A", "output": "NO\n" }, { "input": "QJHA@@@BI", "output": "NO\n" }, { "input": "FJARI", "output": "NO\n" }, { "input": "AQHA@CBHK>A", "output": "NO\n" }, { "input": "QIHA@@@BI", "output": "NO\n" }, { "input": "IJARF", "output": "NO\n" }, { "input": "AQHA@DBHK>A", "output": "NO\n" }, { "input": "Q@HA@I@BI", "output": "NO\n" }, { "input": "FRAJI", "output": "NO\n" }, { "input": "AQHA@DBHK>B", "output": "NO\n" }, { "input": "QH@A@I@BI", "output": "NO\n" }, { "input": "ERAJI", "output": "NO\n" }, { "input": "B>KHBD@AHQA", "output": "NO\n" }, { "input": "IB@I@A@HQ", "output": "NO\n" }, { "input": "ERBJI", "output": "NO\n" }, { "input": "B>KHBDAAHQA", "output": "NO\n" }, { "input": "IB@H@A@HQ", "output": "NO\n" }, { "input": "DRAJI", "output": "NO\n" }, { "input": "AQHAADBHK>B", "output": "NO\n" }, { "input": "IB@I@AAHQ", "output": "NO\n" }, { "input": "DSAJI", "output": "NO\n" }, { "input": "AQ>AADBHKHB", "output": "NO\n" }, { "input": "QHAA@I@BI", "output": "NO\n" }, { "input": "ESAJI", "output": "NO\n" }, { "input": "BHKHBDAA>QA", "output": "NO\n" }, { "input": "RHAA@I@BI", "output": "NO\n" } ] }
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1108_A. Two distinct points
936
936_203
You are given two segments [l_1; r_1] and [l_2; r_2] on the x-axis. It is guaranteed that l_1 < r_1 and l_2 < r_2. Segments may intersect, overlap or even coincide with each other. <image> The example of two segments on the x-axis. Your problem is to find two integers a and b such that l_1 ≤ a ≤ r_1, l_2 ≤ b ≤ r_2 and a ≠ b. In other words, you have to choose two distinct integer points in such a way that the first point belongs to the segment [l_1; r_1] and the second one belongs to the segment [l_2; r_2]. It is guaranteed that the answer exists. If there are multiple answers, you can print any of them. You have to answer q independent queries. Input The first line of the input contains one integer q (1 ≤ q ≤ 500) — the number of queries. Each of the next q lines contains four integers l_{1_i}, r_{1_i}, l_{2_i} and r_{2_i} (1 ≤ l_{1_i}, r_{1_i}, l_{2_i}, r_{2_i} ≤ 10^9, l_{1_i} < r_{1_i}, l_{2_i} < r_{2_i}) — the ends of the segments in the i-th query. Output Print 2q integers. For the i-th query print two integers a_i and b_i — such numbers that l_{1_i} ≤ a_i ≤ r_{1_i}, l_{2_i} ≤ b_i ≤ r_{2_i} and a_i ≠ b_i. Queries are numbered in order of the input. It is guaranteed that the answer exists. If there are multiple answers, you can print any. Example Input 5 1 2 1 2 2 6 3 4 2 4 1 3 1 2 1 3 1 4 5 8 Output 2 1 3 4 3 2 1 2 3 7
n=int(input()) for a in range(n): L=list(map(int,input().split())) if(L[0]==L[2]): print(L[0],L[2]+1) else: print(L[0],L[2])
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int grid: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) grid = [] for line in lines[1:-1]: grid.append([int(x) for x in line.split(' ')]) assert n == len(grid) return cls(n, grid) def __repr__(self): grid_str = '\n'.join([' '.join([str(x) for x in row]) for row in self.grid]) return str(self.n) + '\n' + grid_str + '\n'
5 1 2 1 2 2 6 3 4 2 4 1 3 1 2 1 3 1 4 5 8
O(n*m)
0.000009
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1108_A. Two distinct points
936
936_772
You are given two segments [l_1; r_1] and [l_2; r_2] on the x-axis. It is guaranteed that l_1 < r_1 and l_2 < r_2. Segments may intersect, overlap or even coincide with each other. <image> The example of two segments on the x-axis. Your problem is to find two integers a and b such that l_1 ≤ a ≤ r_1, l_2 ≤ b ≤ r_2 and a ≠ b. In other words, you have to choose two distinct integer points in such a way that the first point belongs to the segment [l_1; r_1] and the second one belongs to the segment [l_2; r_2]. It is guaranteed that the answer exists. If there are multiple answers, you can print any of them. You have to answer q independent queries. Input The first line of the input contains one integer q (1 ≤ q ≤ 500) — the number of queries. Each of the next q lines contains four integers l_{1_i}, r_{1_i}, l_{2_i} and r_{2_i} (1 ≤ l_{1_i}, r_{1_i}, l_{2_i}, r_{2_i} ≤ 10^9, l_{1_i} < r_{1_i}, l_{2_i} < r_{2_i}) — the ends of the segments in the i-th query. Output Print 2q integers. For the i-th query print two integers a_i and b_i — such numbers that l_{1_i} ≤ a_i ≤ r_{1_i}, l_{2_i} ≤ b_i ≤ r_{2_i} and a_i ≠ b_i. Queries are numbered in order of the input. It is guaranteed that the answer exists. If there are multiple answers, you can print any. Example Input 5 1 2 1 2 2 6 3 4 2 4 1 3 1 2 1 3 1 4 5 8 Output 2 1 3 4 3 2 1 2 3 7
q = int(input()) for i in range(q): l1,r1,l2,r2 = input().split() l1=int(l1) l2=int(l2) r1=int(r1) r2=int(r2) if l1 != l2: print (l1,l2) elif l1 != r2: print (l1,r2) elif r1 != l2: print (r1,l2) elif r1 != r2: print (r1,r2)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int grid: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) grid = [] for line in lines[1:-1]: grid.append([int(x) for x in line.split(' ')]) assert n == len(grid) return cls(n, grid) def __repr__(self): grid_str = '\n'.join([' '.join([str(x) for x in row]) for row in self.grid]) return str(self.n) + '\n' + grid_str + '\n'
5 1 2 1 2 2 6 3 4 2 4 1 3 1 2 1 3 1 4 5 8
O(n)
0
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124_A. The number of positions
1089
1089_96
Petr stands in line of n people, but he doesn't know exactly which position he occupies. He can say that there are no less than a people standing in front of him and no more than b people standing behind him. Find the number of different positions Petr can occupy. Input The only line contains three integers n, a and b (0 ≤ a, b < n ≤ 100). Output Print the single number — the number of the sought positions. Examples Input 3 1 1 Output 2 Input 5 2 3 Output 3 Note The possible positions in the first sample are: 2 and 3 (if we number the positions starting with 1). In the second sample they are 3, 4 and 5.
n, a, b = list(map(int, input().split())) ans = 0 for i in range(n): if i >= a and n - i - 1 <= b: ans += 1 print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int a: int b: int @classmethod def from_str(cls, input_: str): n, a, b = input_.split('\n')[0].split(' ') n = int(n) a = int(a) b = int(b) return cls(n, a, b) def __repr__(self): return str(self.n) + ' ' + str(self.a) + ' ' + str(self.b) + '\n'
3 1 1
O(n)
0.000002
{ "public_tests": [ { "input": "3 1 1\n", "output": "2" }, { "input": "5 2 3\n", "output": "3" } ], "private_tests": [ { "input": "23 8 14\n", "output": "15" }, { "input": "59 12 39\n", "output": "40" }, { "input": "56 43 12\n", "output": "13" }, { "input": "42 25 16\n", "output": "17" }, { "input": "49 11 37\n", "output": "38" }, { "input": "9 4 3\n", "output": "4" }, { "input": "94 5 88\n", "output": "89" }, { "input": "90 76 59\n", "output": "14" }, { "input": "58 57 28\n", "output": "1" }, { "input": "41 27 11\n", "output": "12" }, { "input": "84 0 42\n", "output": "43" }, { "input": "73 37 35\n", "output": "36" }, { "input": "96 22 72\n", "output": "73" }, { "input": "94 62 48\n", "output": "32" }, { "input": "100 81 91\n", "output": "19" }, { "input": "100 11 88\n", "output": "89" }, { "input": "47 16 17\n", "output": "18" }, { "input": "79 25 20\n", "output": "21" }, { "input": "1 0 0\n", "output": "1" }, { "input": "88 79 8\n", "output": "9" }, { "input": "14 5 5\n", "output": "6" }, { "input": "92 2 22\n", "output": "23" }, { "input": "16 6 9\n", "output": "10" }, { "input": "13 8 7\n", "output": "5" }, { "input": "20 13 17\n", "output": "7" }, { "input": "71 33 53\n", "output": "38" }, { "input": "26 18 22\n", "output": "8" }, { "input": "6 5 5\n", "output": "1" }, { "input": "37 21 15\n", "output": "16" }, { "input": "11 4 6\n", "output": "7" }, { "input": "76 69 44\n", "output": "7" }, { "input": "81 79 14\n", "output": "2" }, { "input": "51 38 39\n", "output": "13" }, { "input": "39 34 33\n", "output": "5" }, { "input": "63 29 44\n", "output": "34" }, { "input": "45 7 43\n", "output": "38" }, { "input": "62 9 52\n", "output": "53" }, { "input": "65 30 22\n", "output": "23" }, { "input": "28 6 1\n", "output": "2" }, { "input": "32 27 15\n", "output": "5" }, { "input": "22 4 8\n", "output": "9" }, { "input": "73 14 12\n", "output": "13" }, { "input": "52 29 7\n", "output": "8" }, { "input": "33 11 5\n", "output": "6" }, { "input": "5 4 0\n", "output": "1" 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124_A. The number of positions
1089
1089_174
Petr stands in line of n people, but he doesn't know exactly which position he occupies. He can say that there are no less than a people standing in front of him and no more than b people standing behind him. Find the number of different positions Petr can occupy. Input The only line contains three integers n, a and b (0 ≤ a, b < n ≤ 100). Output Print the single number — the number of the sought positions. Examples Input 3 1 1 Output 2 Input 5 2 3 Output 3 Note The possible positions in the first sample are: 2 and 3 (if we number the positions starting with 1). In the second sample they are 3, 4 and 5.
# Believe you can and you're halfway there. Theodore Roosevelt # by : Blue Edge - Create some chaos n,a,b=map(int,input().split()) print(min(n-a,b+1))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int a: int b: int @classmethod def from_str(cls, input_: str): n, a, b = input_.split('\n')[0].split(' ') n = int(n) a = int(a) b = int(b) return cls(n, a, b) def __repr__(self): return str(self.n) + ' ' + str(self.a) + ' ' + str(self.b) + '\n'
3 1 1
O(1)
0.000002
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1032_A. Kitchen Utensils
138
138_449
The king's birthday dinner was attended by k guests. The dinner was quite a success: every person has eaten several dishes (though the number of dishes was the same for every person) and every dish was served alongside with a new set of kitchen utensils. All types of utensils in the kingdom are numbered from 1 to 100. It is known that every set of utensils is the same and consist of different types of utensils, although every particular type may appear in the set at most once. For example, a valid set of utensils can be composed of one fork, one spoon and one knife. After the dinner was over and the guests were dismissed, the king wondered what minimum possible number of utensils could be stolen. Unfortunately, the king has forgotten how many dishes have been served for every guest but he knows the list of all the utensils left after the dinner. Your task is to find the minimum possible number of stolen utensils. Input The first line contains two integer numbers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 100) — the number of kitchen utensils remaining after the dinner and the number of guests correspondingly. The next line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100) — the types of the utensils remaining. Equal values stand for identical utensils while different values stand for different utensils. Output Output a single value — the minimum number of utensils that could be stolen by the guests. Examples Input 5 2 1 2 2 1 3 Output 1 Input 10 3 1 3 3 1 3 5 5 5 5 100 Output 14 Note In the first example it is clear that at least one utensil of type 3 has been stolen, since there are two guests and only one such utensil. But it is also possible that every person received only one dish and there were only six utensils in total, when every person got a set (1, 2, 3) of utensils. Therefore, the answer is 1. One can show that in the second example at least 2 dishes should have been served for every guest, so the number of utensils should be at least 24: every set contains 4 utensils and every one of the 3 guests gets two such sets. Therefore, at least 14 objects have been stolen. Please note that utensils of some types (for example, of types 2 and 4 in this example) may be not present in the set served for dishes.
from math import ceil n, m = [int(s) for s in input().split()] a = [int(s) for s in input().split()] # c, d = np.unique(a), np.unique(a, return_counts=True)[1] c = [] cnt = 0 for o in a: if o not in c: c.append(o) d = [] for i in c: d.append(a.count(i)) dishes, set = ceil(max(d) / m), len(c) #���������� ����, ������� � ����� ���� eta = dishes * set * m print(eta - n)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int k: int numbers: List[int] @classmethod def from_str(cls, input_: str): n, k = map(int, input_.split('\n')[0].split(' ')) numbers = list(map(int, input_.split('\n')[1].split(' '))) assert n == len(numbers) return cls(n, k, numbers) def __repr__(self): return f"{self.n} {self.k}\n" + " ".join(map(str, self.numbers)) + "\n"
10 3 1 3 3 1 3 5 5 5 5 100
O(n**2)
0.000001
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"output": "4800\n" }, { "input": "10 6\n35 51 91 51 69 91 51 91 91 91\n", "output": "14\n" }, { "input": "100 100\n57 4 57 4 76 57 4 57 4 57 57 76 76 4 67 76 57 76 76 64 76 57 76 4 57 57 76 57 4 76 57 76 57 76 57 57 57 57 4 57 4 57 4 57 4 11 57 57 4 76 57 57 76 6 57 4 76 57 11 57 57 76 4 57 4 4 76 76 57 59 57 95 4 4 76 76 57 4 57 4 76 76 4 76 57 99 55 57 4 57 57 57 57 69 57 57 57 76 57 4\n", "output": "1100\n" }, { "input": "100 1\n17 17 17 28 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 26 17 17 17 23 17 17 17 17 17 17 17 17 17 17\n", "output": "288\n" }, { "input": "10 8\n6 5 5 5 5 5 8 5 1 1\n", "output": "22\n" }, { "input": "100 100\n97 64 64 35 35 97 39 83 26 97 92 97 83 11 83 97 97 64 23 97 97 11 39 11 11 39 64 14 23 39 64 26 11 97 39 39 39 64 83 26 83 97 64 11 64 64 64 83 64 92 64 26 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94 40 40 40 40 42 17 17 40 40 4 40 40 40 25 96 40 40 73 73 96 4 40 40 40 40 40 4 40 41 40 94 40 73 40 40 19 25 19 71 40 40 40 94 40 99 75 42 17 40 71\n", "output": "733\n" }, { "input": "100 1\n17 17 17 28 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 30 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 26 17 17 17 23 17 17 17 17 17 17 17 17 17 17\n", "output": "380\n" }, { "input": "10 8\n6 1 5 5 5 5 8 5 1 1\n", "output": "22\n" }, { "input": "100 7\n4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 16 9 9 9 9 9 9 9 9 9 9 9 9\n", "output": "390\n" }, { "input": "100 100\n97 64 64 35 35 97 39 83 26 97 92 97 83 11 83 97 97 64 23 97 97 11 39 11 11 39 64 14 23 39 64 26 11 97 39 39 39 64 83 26 83 97 64 11 64 64 64 83 64 92 64 26 83 26 27 64 11 83 92 92 23 11 11 97 92 64 97 81 97 83 64 27 83 23 11 26 11 92 83 64 83 11 11 11 97 83 97 26 26 97 23 23 39 64 64 64 97 27 27 92\n", "output": "1100\n" }, { "input": "1 2\n1\n", "output": "1\n" }, { "input": "100 100\n50 81 93 15 34 57 92 24 54 66 18 66 22 88 76 37 47 34 39 16 93 66 34 24 97 67 44 57 79 77 32 67 17 74 42 55 45 77 77 34 66 59 93 13 92 77 44 47 24 90 70 77 17 47 24 24 34 67 67 57 75 67 74 48 51 51 66 84 34 81 61 1 67 69 24 66 18 81 38 26 74 34 74 93 17 91 44 44 34 57 49 43 27 69 44 55 53 57 10 9\n", "output": "4800\n" }, { "input": "100 100\n97 64 64 35 35 97 39 83 26 97 92 97 83 11 83 97 97 64 23 97 97 11 39 11 11 39 64 14 23 39 64 26 11 97 39 39 39 64 83 26 83 97 64 11 64 64 64 83 64 92 64 26 83 26 27 64 11 83 92 92 23 11 6 97 92 64 97 81 97 83 64 27 83 23 11 26 11 92 83 64 83 11 11 11 97 83 97 26 26 97 23 23 39 64 64 64 97 27 27 92\n", "output": "1200\n" }, { "input": "100 100\n40 45 41 12 45 33 26 45 18 45 36 45 45 45 45 12 45 45 1 61 45 45 78 45 45 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1032_A. Kitchen Utensils
138
138_360
The king's birthday dinner was attended by k guests. The dinner was quite a success: every person has eaten several dishes (though the number of dishes was the same for every person) and every dish was served alongside with a new set of kitchen utensils. All types of utensils in the kingdom are numbered from 1 to 100. It is known that every set of utensils is the same and consist of different types of utensils, although every particular type may appear in the set at most once. For example, a valid set of utensils can be composed of one fork, one spoon and one knife. After the dinner was over and the guests were dismissed, the king wondered what minimum possible number of utensils could be stolen. Unfortunately, the king has forgotten how many dishes have been served for every guest but he knows the list of all the utensils left after the dinner. Your task is to find the minimum possible number of stolen utensils. Input The first line contains two integer numbers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 100) — the number of kitchen utensils remaining after the dinner and the number of guests correspondingly. The next line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100) — the types of the utensils remaining. Equal values stand for identical utensils while different values stand for different utensils. Output Output a single value — the minimum number of utensils that could be stolen by the guests. Examples Input 5 2 1 2 2 1 3 Output 1 Input 10 3 1 3 3 1 3 5 5 5 5 100 Output 14 Note In the first example it is clear that at least one utensil of type 3 has been stolen, since there are two guests and only one such utensil. But it is also possible that every person received only one dish and there were only six utensils in total, when every person got a set (1, 2, 3) of utensils. Therefore, the answer is 1. One can show that in the second example at least 2 dishes should have been served for every guest, so the number of utensils should be at least 24: every set contains 4 utensils and every one of the 3 guests gets two such sets. Therefore, at least 14 objects have been stolen. Please note that utensils of some types (for example, of types 2 and 4 in this example) may be not present in the set served for dishes.
n, k = map(int, input().split()) arr = list(map(int, input().split())) curMax = 0 maps = {} for a in arr: if a not in maps: maps[a] = 1 else: maps[a] += 1 curMax = max(curMax, maps[a]) if curMax % k != 0: curMax = curMax - (curMax % k) + k print (curMax * len(maps) - len(arr))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int k: int numbers: List[int] @classmethod def from_str(cls, input_: str): n, k = map(int, input_.split('\n')[0].split(' ')) numbers = list(map(int, input_.split('\n')[1].split(' '))) assert n == len(numbers) return cls(n, k, numbers) def __repr__(self): return f"{self.n} {self.k}\n" + " ".join(map(str, self.numbers)) + "\n"
10 3 1 3 3 1 3 5 5 5 5 100
O(n)
0.000008
{ "public_tests": [ { "input": "10 3\n1 3 3 1 3 5 5 5 5 100\n", "output": "14\n" }, { "input": "5 2\n1 2 2 1 3\n", "output": "1\n" } ], "private_tests": [ { "input": "100 1\n17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17\n", "output": "0\n" }, { "input": "10 4\n5 5 5 5 5 5 5 5 1 1\n", "output": "6\n" }, { "input": "100 7\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n", "output": "5\n" }, { "input": "10 5\n45 58 20 18 68 1 87 15 69 73\n", "output": "40\n" }, { "input": "100 100\n55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55\n", "output": "0\n" }, { "input": "100 1\n53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 48\n", "output": "98\n" }, { "input": "100 10\n75 75 75 75 30 53 75 31 75 62 44 44 69 76 57 31 75 83 75 13 56 59 30 75 27 56 75 75 47 31 79 75 30 20 31 8 75 75 30 20 75 31 31 75 75 4 52 75 44 20 31 66 55 75 75 75 31 75 33 42 31 82 14 31 75 75 75 75 31 80 31 30 75 88 31 75 69 75 31 75 30 75 44 17 75 75 35 75 75 75 75 75 56 44 75 75 44 75 20 31\n", "output": "1400\n" }, { "input": "100 10\n49 98 34 45 45 34 49 34 34 34 49 34 34 34 34 34 34 34 45 34 34 34 34 34 49 34 34 34 45 49 45 34 45 34 49 98 34 34 49 45 34 34 34 66 34 98 34 34 34 34 98 34 34 45 34 34 34 66 98 34 34 34 34 45 34 45 34 34 34 49 34 34 34 34 34 49 98 34 34 34 45 34 34 34 98 66 98 98 66 34 49 49 34 34 34 34 34 66 34 34\n", "output": "250\n" }, { "input": "100 100\n97 64 64 35 35 97 39 83 26 97 92 97 83 11 83 97 97 64 23 97 97 11 26 11 11 39 64 11 23 39 64 26 26 97 39 39 39 64 83 26 83 97 64 11 64 64 64 83 64 92 64 26 83 26 27 64 11 83 92 92 23 11 11 97 92 64 97 64 97 83 64 27 83 23 11 26 11 92 83 64 83 11 11 11 97 83 97 26 26 97 23 23 39 64 64 64 97 27 27 92\n", "output": "900\n" }, { "input": "1 1\n14\n", "output": "0\n" }, { "input": "10 5\n63 63 63 63 63 63 63 63 63 63\n", "output": "0\n" }, { "input": "100 100\n40 45 45 12 45 33 16 45 18 45 36 45 45 45 45 12 45 45 1 61 45 45 78 45 45 45 16 61 12 45 36 45 45 61 45 33 33 16 45 45 45 33 45 45 45 45 45 45 45 45 45 45 33 12 45 45 61 12 45 78 33 61 45 45 40 78 18 45 45 45 78 45 61 45 45 45 45 33 16 45 33 45 40 45 78 45 33 45 45 33 45 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"output": "4800\n" }, { "input": "10 6\n35 51 91 51 69 91 51 91 91 91\n", "output": "14\n" }, { "input": "100 100\n57 4 57 4 76 57 4 57 4 57 57 76 76 4 67 76 57 76 76 64 76 57 76 4 57 57 76 57 4 76 57 76 57 76 57 57 57 57 4 57 4 57 4 57 4 11 57 57 4 76 57 57 76 6 57 4 76 57 11 57 57 76 4 57 4 4 76 76 57 59 57 95 4 4 76 76 57 4 57 4 76 76 4 76 57 99 55 57 4 57 57 57 57 69 57 57 57 76 57 4\n", "output": "1100\n" }, { "input": "100 1\n17 17 17 28 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 26 17 17 17 23 17 17 17 17 17 17 17 17 17 17\n", "output": "288\n" }, { "input": "10 8\n6 5 5 5 5 5 8 5 1 1\n", "output": "22\n" }, { "input": "100 100\n97 64 64 35 35 97 39 83 26 97 92 97 83 11 83 97 97 64 23 97 97 11 39 11 11 39 64 14 23 39 64 26 11 97 39 39 39 64 83 26 83 97 64 11 64 64 64 83 64 92 64 26 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94 40 40 40 40 42 17 17 40 40 4 40 40 40 25 96 40 40 73 73 96 4 40 40 40 40 40 4 40 41 40 94 40 73 40 40 19 25 19 71 40 40 40 94 40 99 75 42 17 40 71\n", "output": "733\n" }, { "input": "100 1\n17 17 17 28 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 30 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 26 17 17 17 23 17 17 17 17 17 17 17 17 17 17\n", "output": "380\n" }, { "input": "10 8\n6 1 5 5 5 5 8 5 1 1\n", "output": "22\n" }, { "input": "100 7\n4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 16 9 9 9 9 9 9 9 9 9 9 9 9\n", "output": "390\n" }, { "input": "100 100\n97 64 64 35 35 97 39 83 26 97 92 97 83 11 83 97 97 64 23 97 97 11 39 11 11 39 64 14 23 39 64 26 11 97 39 39 39 64 83 26 83 97 64 11 64 64 64 83 64 92 64 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45 16 61 12 45 36 45 45 61 45 33 33 16 45 45 45 33 45 45 45 45 45 45 45 45 45 45 33 12 45 45 61 12 45 78 33 61 45 45 40 78 18 45 45 45 78 45 71 45 45 38 45 33 16 45 33 45 40 45 78 45 33 34 45 33 45 61 45 50 45 45 78 45 45 33\n", "output": "1500\n" }, { "input": "100 7\n4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 17 9 9 9 9 9 1 9 17 9 9 9 16 9 9 9 9 9 9 9 9 9 9 9 9\n", "output": "586\n" }, { "input": "100 10\n49 98 34 45 45 34 38 34 34 34 49 34 34 34 34 34 34 34 45 34 34 34 34 34 49 34 34 34 45 49 45 34 45 34 49 98 34 34 49 45 34 34 34 66 34 98 34 34 34 46 98 34 34 45 34 34 34 51 98 34 34 34 34 45 34 31 34 34 34 49 34 34 34 34 34 49 98 34 34 34 45 20 34 34 98 66 98 98 66 34 49 49 34 34 34 34 52 75 34 34\n", "output": "740\n" }, { "input": "100 100\n50 81 93 15 34 57 92 24 54 66 18 66 22 88 76 37 47 34 39 16 93 66 34 24 97 67 44 57 79 77 32 67 20 74 42 55 45 77 77 34 66 59 93 13 25 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34 34 34 49 34 34 34 34 34 49 98 34 34 34 45 20 34 34 98 66 98 98 66 34 49 49 34 34 34 34 52 75 34 34\n", "output": "800\n" }, { "input": "100 100\n40 45 12 12 45 33 26 45 18 45 36 45 45 45 45 12 45 45 1 51 45 45 78 45 45 45 16 61 12 45 36 45 45 61 45 33 33 16 45 45 45 33 45 45 45 45 45 45 45 45 45 45 33 12 45 45 61 12 45 78 33 61 45 45 40 78 18 45 45 74 78 45 71 45 45 38 45 33 16 45 33 45 40 45 78 45 33 34 45 33 43 61 45 50 45 45 78 45 45 33\n", "output": "1700\n" } ] }
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p02922 AtCoder Beginner Contest 139 - Power Socket
2482
2482_13
Takahashi's house has only one socket. Takahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets. One power strip with A sockets can extend one empty socket into A empty sockets. Find the minimum number of power strips required. Constraints * All values in input are integers. * 2 \leq A \leq 20 * 1 \leq B \leq 20 Input Input is given from Standard Input in the following format: A B Output Print the minimum number of power strips required. Examples Input 4 10 Output 3 Input 8 9 Output 2 Input 8 8 Output 1
a,b=map(int,input().split()) n=0 while n*(a-1)+1<b:n+=1 print(n)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: N: int M: int @classmethod def from_str(cls, input_: str): N, M = input_.strip().split(' ') N = int(N) M = int(M) return cls(N, M) def __repr__(self): return str(self.N) + ' ' + str(self.M) + '\n'
4 10
O(n)
0.000002
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p02922 AtCoder Beginner Contest 139 - Power Socket
2482
2482_151
Takahashi's house has only one socket. Takahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets. One power strip with A sockets can extend one empty socket into A empty sockets. Find the minimum number of power strips required. Constraints * All values in input are integers. * 2 \leq A \leq 20 * 1 \leq B \leq 20 Input Input is given from Standard Input in the following format: A B Output Print the minimum number of power strips required. Examples Input 4 10 Output 3 Input 8 9 Output 2 Input 8 8 Output 1
A,B=map(int,input().split()) AA=A-1 BB=B-1 print((BB+AA-1)//AA)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: N: int M: int @classmethod def from_str(cls, input_: str): N, M = input_.strip().split(' ') N = int(N) M = int(M) return cls(N, M) def __repr__(self): return str(self.N) + ' ' + str(self.M) + '\n'
4 10
O(1)
0.000002
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281_B. Nearest Fraction
696
696_51
You are given three positive integers x, y, n. Your task is to find the nearest fraction to fraction <image> whose denominator is no more than n. Formally, you should find such pair of integers a, b (1 ≤ b ≤ n; 0 ≤ a) that the value <image> is as minimal as possible. If there are multiple "nearest" fractions, choose the one with the minimum denominator. If there are multiple "nearest" fractions with the minimum denominator, choose the one with the minimum numerator. Input A single line contains three integers x, y, n (1 ≤ x, y, n ≤ 105). Output Print the required fraction in the format "a/b" (without quotes). Examples Input 3 7 6 Output 2/5 Input 7 2 4 Output 7/2
from math import inf,floor,ceil x,y,n=map(float,input().split()) m=inf ans="" for b in range(1,int(n+1)): a=floor((x*b)/y) z=abs(x/y-a/b) if z<m-1e-15: m=z ans=str(a)+'/'+str(b) a=ceil((x*b)/y) z=abs(x/y-a/b) if z<m-1e-15: m=z ans=str(a)+'/'+str(b) print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: v_0: int v_1: int v_2: int @classmethod def from_str(cls, input_: str): v_0, v_1, v_2 = input_.split('\n')[0].split(' ') v_0 = int(v_0) v_1 = int(v_1) v_2 = int(v_2) return cls(v_0, v_1, v_2) def __repr__(self): return str(self.v_0) + ' ' + str(self.v_1) + ' ' + str(self.v_2) + '\n'
7 2 4
O(n)
0.000008
{ "public_tests": [ { "input": "7 2 4\n", "output": "7/2\n" }, { "input": "3 7 6\n", "output": "2/5\n" } ], "private_tests": [ { "input": "6243 60593 42244\n", "output": "3565/34601\n" }, { "input": "7487 17563 1102\n", "output": "107/251\n" }, { "input": "1 2 2\n", "output": "1/2\n" }, { "input": "43003 70913 71178\n", "output": "43003/70913\n" }, { "input": "46084 75979 30535\n", "output": "11637/19186\n" }, { "input": "60489 34395 34632\n", "output": "20163/11465\n" }, { "input": "100000 10 10\n", "output": "10000/1\n" }, { "input": "38133 49787 9840\n", "output": "3295/4302\n" }, { "input": "76730 91851 71438\n", "output": "49039/58703\n" }, { "input": "28598 12497 10464\n", "output": "23710/10361\n" }, { "input": "72657 93778 50943\n", "output": "38236/49351\n" }, { "input": "75486 2177 1983\n", "output": "58877/1698\n" }, { "input": "99999 2 1\n", "output": "49999/1\n" }, { "input": "100000 2 100000\n", "output": "50000/1\n" }, { "input": "89781 34400 19222\n", "output": 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281_B. Nearest Fraction
696
696_49
You are given three positive integers x, y, n. Your task is to find the nearest fraction to fraction <image> whose denominator is no more than n. Formally, you should find such pair of integers a, b (1 ≤ b ≤ n; 0 ≤ a) that the value <image> is as minimal as possible. If there are multiple "nearest" fractions, choose the one with the minimum denominator. If there are multiple "nearest" fractions with the minimum denominator, choose the one with the minimum numerator. Input A single line contains three integers x, y, n (1 ≤ x, y, n ≤ 105). Output Print the required fraction in the format "a/b" (without quotes). Examples Input 3 7 6 Output 2/5 Input 7 2 4 Output 7/2
from fractions import Fraction x,y,n = map(int, input().split(" ")) f=Fraction(x,y).limit_denominator(n) a=f.numerator b=f.denominator print(str(a)+"/"+str(b))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: v_0: int v_1: int v_2: int @classmethod def from_str(cls, input_: str): v_0, v_1, v_2 = input_.split('\n')[0].split(' ') v_0 = int(v_0) v_1 = int(v_1) v_2 = int(v_2) return cls(v_0, v_1, v_2) def __repr__(self): return str(self.v_0) + ' ' + str(self.v_1) + ' ' + str(self.v_2) + '\n'
7 2 4
O(1)
0.000041
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] }
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282_B. Painting Eggs
1673
1673_122
The Bitlandians are quite weird people. They have very peculiar customs. As is customary, Uncle J. wants to have n eggs painted for Bitruz (an ancient Bitland festival). He has asked G. and A. to do the work. The kids are excited because just as is customary, they're going to be paid for the job! Overall uncle J. has got n eggs. G. named his price for painting each egg. Similarly, A. named his price for painting each egg. It turns out that for each egg the sum of the money both A. and G. want for the painting equals 1000. Uncle J. wants to distribute the eggs between the children so as to give each egg to exactly one child. Also, Uncle J. wants the total money paid to A. to be different from the total money paid to G. by no more than 500. Help Uncle J. Find the required distribution of eggs or otherwise say that distributing the eggs in the required manner is impossible. Input The first line contains integer n (1 ≤ n ≤ 106) — the number of eggs. Next n lines contain two integers ai and gi each (0 ≤ ai, gi ≤ 1000; ai + gi = 1000): ai is the price said by A. for the i-th egg and gi is the price said by G. for the i-th egg. Output If it is impossible to assign the painting, print "-1" (without quotes). Otherwise print a string, consisting of n letters "G" and "A". The i-th letter of this string should represent the child who will get the i-th egg in the required distribution. Letter "A" represents A. and letter "G" represents G. If we denote the money Uncle J. must pay A. for the painting as Sa, and the money Uncle J. must pay G. for the painting as Sg, then this inequality must hold: |Sa - Sg| ≤ 500. If there are several solutions, you are allowed to print any of them. Examples Input 2 1 999 999 1 Output AG Input 3 400 600 400 600 400 600 Output AGA
eggs=int(input()) diff=0 c=['A' for i in range(eggs)] for i in range(eggs): a=int(input().split()[0]) if a+diff<501: diff+=a else: c[i]='G' diff-=1000-a print(''.join(c))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int pairs: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) pairs = [[int(x) for x in line.split(' ')] for line in lines[1:-1]] assert n == len(pairs) return cls(n, pairs) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join(map(str, pair)) for pair in self.pairs]) + '\n'
2 1 999 999 1
O(n*m)
0.000001
{ "public_tests": [ { "input": "2\n1 999\n999 1\n", "output": "AG\n" }, { "input": "3\n400 600\n400 600\n400 600\n", "output": "AGA\n" } ], "private_tests": [ { "input": "1\n500 500\n", "output": "A\n" }, { "input": "2\n500 500\n500 500\n", "output": "AG\n" }, { "input": "1\n1 999\n", "output": "A\n" }, { "input": "2\n499 501\n501 499\n", "output": "AG\n" }, { "input": "10\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n", "output": "AAAAAAAAAA\n" }, { "input": "1\n0 1000\n", "output": "A\n" }, { "input": "1\n1000 0\n", "output": "G\n" }, { "input": "3\n500 500\n1 999\n400 600\n", "output": "AGA\n" } ], "generated_tests": [ { "input": "1\n546 500\n", "output": "G\n" }, { "input": "2\n500 694\n500 500\n", "output": "AG\n" }, { "input": "1\n1 1352\n", "output": "A\n" }, { "input": "10\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 1867\n1 999\n1 999\n", "output": "AAAAAAAAAA\n" }, { "input": "3\n500 500\n1 999\n372 600\n", "output": "AGA\n" }, { "input": "2\n187 501\n501 499\n", "output": "AG\n" }, { "input": "1\n1 1000\n", "output": "A\n" }, { "input": "1\n0000 0\n", "output": "A\n" }, { "input": "2\n0 999\n999 1\n", "output": "AG\n" }, { "input": "3\n400 600\n414 600\n400 600\n", "output": "AGA\n" }, { "input": "1\n546 344\n", "output": "G\n" }, { "input": "2\n500 694\n511 500\n", "output": "AG\n" }, { "input": "1\n1 1348\n", "output": "A\n" }, { "input": "2\n187 501\n981 499\n", "output": "AG\n" }, { "input": "10\n1 956\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 1867\n1 999\n1 999\n", "output": "AAAAAAAAAA\n" }, { "input": "1\n1 1010\n", "output": "A\n" }, { "input": "2\n0 1647\n999 1\n", "output": "AG\n" }, { "input": "3\n400 600\n331 600\n400 600\n", "output": "AGA\n" }, { "input": "1\n1 1020\n", "output": "A\n" }, { "input": "2\n187 501\n981 262\n", "output": "AG\n" }, { "input": "10\n1 956\n1 999\n1 999\n1 999\n0 999\n1 999\n1 999\n1 1867\n1 999\n1 999\n", "output": "AAAAAAAAAA\n" }, { "input": "2\n-1 1647\n999 1\n", "output": 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144\n", "output": "A\n" }, { "input": "10\n1 956\n1 999\n1 784\n1 1167\n0 999\n1 999\n1 999\n1 1867\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "2\n-1 1651\n2223 1\n", "output": "AG\n" }, { "input": "3\n118 1058\n637 600\n400 212\n", "output": "AGA\n" }, { "input": "1\n1 144\n", "output": "A\n" }, { "input": "10\n1 1095\n1 999\n1 784\n1 1167\n0 999\n1 999\n1 999\n1 1867\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "2\n-1 1651\n854 1\n", "output": "AG\n" }, { "input": "3\n118 1058\n637 600\n400 301\n", "output": "AGA\n" }, { "input": "1\n1 23\n", "output": "A\n" }, { "input": "10\n1 1095\n1 999\n1 784\n1 1167\n0 999\n1 999\n1 999\n1 2940\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "2\n-1 1651\n854 2\n", "output": "AG\n" }, { "input": "1\n0 23\n", "output": "A\n" }, { "input": "10\n1 1095\n1 999\n1 784\n1 1167\n0 999\n1 999\n1 620\n1 2940\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "2\n-1 24\n854 2\n", "output": "AG\n" }, { "input": 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"output": "A\n" }, { "input": "10\n2 368\n3 1832\n2 784\n1 1167\n1 707\n1 999\n0 620\n-1 4605\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "1\n-3 100\n", "output": "A\n" }, { "input": "10\n2 368\n3 1832\n2 784\n1 1167\n1 678\n1 999\n0 620\n-1 4605\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "10\n2 368\n3 1832\n2 784\n1 884\n1 678\n1 999\n0 620\n-1 4605\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "10\n2 368\n3 1832\n2 784\n1 884\n1 678\n1 999\n0 247\n-1 4605\n1 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "10\n2 368\n3 1832\n2 784\n1 884\n1 678\n1 999\n0 247\n-1 4605\n2 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "10\n2 368\n3 1832\n2 784\n1 884\n1 678\n1 999\n0 247\n-1 4605\n0 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "10\n2 658\n3 1832\n2 784\n1 884\n1 678\n1 999\n0 247\n-1 4605\n0 999\n0 999\n", "output": "AAAAAAAAAA\n" }, { "input": "10\n2 658\n3 694\n2 784\n1 884\n1 678\n1 999\n0 247\n-1 4605\n0 999\n0 999\n", 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[ 0.0000016806470989947555, 0.000001609263931381119, 8.507869454763986e-7, 8.44927297312063e-7, 8.417066761363637e-7, 8.381770787805944e-7, 8.356788953234266e-7, 8.340022945804196e-7, 8.327397563374127e-7, 8.299883631993007e-7, 8.280243116258742e-7, 8.276574519230769e-7, 8.251342739291959e-7, 8.240677857298953e-7, 8.239091865166085e-7, 8.157766198645106e-7, 8.146600879589162e-7, 8.143375081949301e-7, 7.200873579545453e-7, 7.146824874344406e-7 ]
282_B. Painting Eggs
1673
1673_129
The Bitlandians are quite weird people. They have very peculiar customs. As is customary, Uncle J. wants to have n eggs painted for Bitruz (an ancient Bitland festival). He has asked G. and A. to do the work. The kids are excited because just as is customary, they're going to be paid for the job! Overall uncle J. has got n eggs. G. named his price for painting each egg. Similarly, A. named his price for painting each egg. It turns out that for each egg the sum of the money both A. and G. want for the painting equals 1000. Uncle J. wants to distribute the eggs between the children so as to give each egg to exactly one child. Also, Uncle J. wants the total money paid to A. to be different from the total money paid to G. by no more than 500. Help Uncle J. Find the required distribution of eggs or otherwise say that distributing the eggs in the required manner is impossible. Input The first line contains integer n (1 ≤ n ≤ 106) — the number of eggs. Next n lines contain two integers ai and gi each (0 ≤ ai, gi ≤ 1000; ai + gi = 1000): ai is the price said by A. for the i-th egg and gi is the price said by G. for the i-th egg. Output If it is impossible to assign the painting, print "-1" (without quotes). Otherwise print a string, consisting of n letters "G" and "A". The i-th letter of this string should represent the child who will get the i-th egg in the required distribution. Letter "A" represents A. and letter "G" represents G. If we denote the money Uncle J. must pay A. for the painting as Sa, and the money Uncle J. must pay G. for the painting as Sg, then this inequality must hold: |Sa - Sg| ≤ 500. If there are several solutions, you are allowed to print any of them. Examples Input 2 1 999 999 1 Output AG Input 3 400 600 400 600 400 600 Output AGA
sa,sg=0,0 ans='' for _ in range(int(input())): a,g=map(int,input().split()) if sa-sg+a<=500: ans+='A' sa+=a else: ans+='G' sg+=g print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int pairs: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) pairs = [[int(x) for x in line.split(' ')] for line in lines[1:-1]] assert n == len(pairs) return cls(n, pairs) def __repr__(self): return str(self.n) + '\n' + '\n'.join([' '.join(map(str, pair)) for pair in self.pairs]) + '\n'
2 1 999 999 1
O(n)
0.000007
{ "public_tests": [ { "input": "2\n1 999\n999 1\n", "output": "AG\n" }, { "input": "3\n400 600\n400 600\n400 600\n", "output": "AGA\n" } ], "private_tests": [ { "input": "1\n500 500\n", "output": "A\n" }, { "input": "2\n500 500\n500 500\n", "output": "AG\n" }, { "input": "1\n1 999\n", "output": "A\n" }, { "input": "2\n499 501\n501 499\n", "output": "AG\n" }, { "input": "10\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n", "output": "AAAAAAAAAA\n" }, { "input": "1\n0 1000\n", "output": "A\n" }, { "input": "1\n1000 0\n", "output": "G\n" }, { "input": "3\n500 500\n1 999\n400 600\n", "output": "AGA\n" } ], "generated_tests": [ { "input": "1\n546 500\n", "output": "G\n" }, { "input": "2\n500 694\n500 500\n", "output": "AG\n" }, { "input": "1\n1 1352\n", "output": "A\n" }, { "input": "10\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 999\n1 1867\n1 999\n1 999\n", "output": "AAAAAAAAAA\n" }, { "input": "3\n500 500\n1 999\n372 600\n", "output": "AGA\n" }, { "input": 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1047_B. Cover Points
716
716_514
There are n points on the plane, (x_1,y_1), (x_2,y_2), …, (x_n,y_n). You need to place an isosceles triangle with two sides on the coordinate axis to cover all points (a point is covered if it lies inside the triangle or on the side of the triangle). Calculate the minimum length of the shorter side of the triangle. Input First line contains one integer n (1 ≤ n ≤ 10^5). Each of the next n lines contains two integers x_i and y_i (1 ≤ x_i,y_i ≤ 10^9). Output Print the minimum length of the shorter side of the triangle. It can be proved that it's always an integer. Examples Input 3 1 1 1 2 2 1 Output 3 Input 4 1 1 1 2 2 1 2 2 Output 4 Note Illustration for the first example: <image> Illustration for the second example: <image>
d = int(input()) verts = [] for i in range(d): d = [int(x) for x in input().split(' ')] verts.append(d) maxx = 0 for v in verts: maxx = max(maxx, v[0] + v[1]) print(maxx)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int edges: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) edges = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert n == len(edges) return cls(n, edges) def __repr__(self): edges_str = '\n'.join(' '.join(map(str, edge)) for edge in self.edges) return str(self.n) + '\n' + edges_str + '\n'
3 1 1 1 2 2 1
O(n*m)
0.000003
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1047_B. Cover Points
716
716_174
There are n points on the plane, (x_1,y_1), (x_2,y_2), …, (x_n,y_n). You need to place an isosceles triangle with two sides on the coordinate axis to cover all points (a point is covered if it lies inside the triangle or on the side of the triangle). Calculate the minimum length of the shorter side of the triangle. Input First line contains one integer n (1 ≤ n ≤ 10^5). Each of the next n lines contains two integers x_i and y_i (1 ≤ x_i,y_i ≤ 10^9). Output Print the minimum length of the shorter side of the triangle. It can be proved that it's always an integer. Examples Input 3 1 1 1 2 2 1 Output 3 Input 4 1 1 1 2 2 1 2 2 Output 4 Note Illustration for the first example: <image> Illustration for the second example: <image>
n=int(input()) c=0 for i in range(n): x,y=map(int,input().split()) c=max(c,x+y) print(c)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int edges: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) edges = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert n == len(edges) return cls(n, edges) def __repr__(self): edges_str = '\n'.join(' '.join(map(str, edge)) for edge in self.edges) return str(self.n) + '\n' + edges_str + '\n'
3 1 1 1 2 2 1
O(n)
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1328_B. K-th Beautiful String
2819
2819_55
For the given integer n (n > 2) let's write down all the strings of length n which contain n-2 letters 'a' and two letters 'b' in lexicographical (alphabetical) order. Recall that the string s of length n is lexicographically less than string t of length n, if there exists such i (1 ≤ i ≤ n), that s_i < t_i, and for any j (1 ≤ j < i) s_j = t_j. The lexicographic comparison of strings is implemented by the operator < in modern programming languages. For example, if n=5 the strings are (the order does matter): 1. aaabb 2. aabab 3. aabba 4. abaab 5. ababa 6. abbaa 7. baaab 8. baaba 9. babaa 10. bbaaa It is easy to show that such a list of strings will contain exactly (n ⋅ (n-1))/(2) strings. You are given n (n > 2) and k (1 ≤ k ≤ (n ⋅ (n-1))/(2)). Print the k-th string from the list. Input The input contains one or more test cases. The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases in the test. Then t test cases follow. Each test case is written on the the separate line containing two integers n and k (3 ≤ n ≤ 10^5, 1 ≤ k ≤ min(2⋅10^9, (n ⋅ (n-1))/(2)). The sum of values n over all test cases in the test doesn't exceed 10^5. Output For each test case print the k-th string from the list of all described above strings of length n. Strings in the list are sorted lexicographically (alphabetically). Example Input 7 5 1 5 2 5 8 5 10 3 1 3 2 20 100 Output aaabb aabab baaba bbaaa abb bab aaaaabaaaaabaaaaaaaa
import sys input = sys.stdin.readline for _ in range(int(input())): n, k = map(int, input().split()) ans = ['a']*n for i, right in zip(range(n-2, -1, -1), range(1, n+1)): if k > right: k -= right continue j = n while k: k -= 1 j -= 1 ans[i] = ans[j] = 'b' break print(*ans, sep='')
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int pairs_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) pairs_list = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(pairs_list) == n return cls(n, pairs_list) def __repr__(self): pairs_str = '\n'.join([' '.join(map(str, pair)) for pair in self.pairs_list]) return str(self.n) + '\n' + pairs_str + '\n'
7 5 1 5 2 5 8 5 10 3 1 3 2 20 100
O(n**2)
0.000002
{ "public_tests": [ { "input": "7\n5 1\n5 2\n5 8\n5 10\n3 1\n3 2\n20 100\n", "output": "aaabb\naabab\nbaaba\nbbaaa\nabb\nbab\naaaaabaaaaabaaaaaaaa\n" } ], "private_tests": [ { "input": "7\n8 18\n19 11\n20 5\n15 19\n19 15\n20 6\n10 28\n", "output": "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaabbaaaa\naaaaaaaaaaaaaaaabbaa\naabbaaaaaa\n" }, { "input": "2\n64000 2000000000\n36000 600000000\n", "output": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa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} ], "generated_tests": [ { "input": "7\n8 18\n19 11\n20 5\n15 19\n19 15\n11 6\n10 28\n", "output": "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaabbaaaa\naaaaaaabbaa\naabbaaaaaa\n" }, { "input": "1\n100010 1\n", "output": 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}, { "input": "7\n5 1\n5 2\n5 8\n5 10\n3 1\n5 2\n20 100\n", "output": "aaabb\naabab\nbaaba\nbbaaa\nabb\naabab\naaaaabaaaaabaaaaaaaa\n" }, { "input": "7\n8 18\n19 11\n20 5\n15 19\n34 15\n11 6\n10 28\n", "output": "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaaaaaaaaaaaaaaaaabbaaaa\naaaaaaabbaa\naabbaaaaaa\n" }, { "input": "1\n000010 1\n", "output": "aaaaaaaabb\n" } ] }
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4.483978578246465e-12, 1.6245370053503164e-13 ]
1328_B. K-th Beautiful String
2819
2819_926
For the given integer n (n > 2) let's write down all the strings of length n which contain n-2 letters 'a' and two letters 'b' in lexicographical (alphabetical) order. Recall that the string s of length n is lexicographically less than string t of length n, if there exists such i (1 ≤ i ≤ n), that s_i < t_i, and for any j (1 ≤ j < i) s_j = t_j. The lexicographic comparison of strings is implemented by the operator < in modern programming languages. For example, if n=5 the strings are (the order does matter): 1. aaabb 2. aabab 3. aabba 4. abaab 5. ababa 6. abbaa 7. baaab 8. baaba 9. babaa 10. bbaaa It is easy to show that such a list of strings will contain exactly (n ⋅ (n-1))/(2) strings. You are given n (n > 2) and k (1 ≤ k ≤ (n ⋅ (n-1))/(2)). Print the k-th string from the list. Input The input contains one or more test cases. The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases in the test. Then t test cases follow. Each test case is written on the the separate line containing two integers n and k (3 ≤ n ≤ 10^5, 1 ≤ k ≤ min(2⋅10^9, (n ⋅ (n-1))/(2)). The sum of values n over all test cases in the test doesn't exceed 10^5. Output For each test case print the k-th string from the list of all described above strings of length n. Strings in the list are sorted lexicographically (alphabetically). Example Input 7 5 1 5 2 5 8 5 10 3 1 3 2 20 100 Output aaabb aabab baaba bbaaa abb bab aaaaabaaaaabaaaaaaaa
# Anuneet Anand import math T = int(input()) while T: n,k = map(int,input().split()) x = int(((1) + math.sqrt(1 + (8 * (k-1)))) / 2) d = int(math.floor((-1 + math.sqrt(1+ 8 * k - 8)) / 2)) b = (d * (d + 1)) / 2 + 1 y = int(k - b) A = ['a' for i in range(n)] A[n-x-1]='b' A[n-y-1]='b' R = "a"*(n-x-1)+"b"+"a"*(x-y-1)+"b" + y*"a" print(R) T = T-1
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int pairs_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') n = int(lines[0]) pairs_list = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(pairs_list) == n return cls(n, pairs_list) def __repr__(self): pairs_str = '\n'.join([' '.join(map(str, pair)) for pair in self.pairs_list]) return str(self.n) + '\n' + pairs_str + '\n'
7 5 1 5 2 5 8 5 10 3 1 3 2 20 100
O(n)
0.000001
{ "public_tests": [ { "input": "7\n5 1\n5 2\n5 8\n5 10\n3 1\n3 2\n20 100\n", "output": "aaabb\naabab\nbaaba\nbbaaa\nabb\nbab\naaaaabaaaaabaaaaaaaa\n" } ], "private_tests": [ { "input": "7\n8 18\n19 11\n20 5\n15 19\n19 15\n20 6\n10 28\n", "output": "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaabbaaaa\naaaaaaaaaaaaaaaabbaa\naabbaaaaaa\n" }, { "input": "2\n64000 2000000000\n36000 600000000\n", "output": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa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} ], "generated_tests": [ { "input": "7\n8 18\n19 11\n20 5\n15 19\n19 15\n11 6\n10 28\n", "output": "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaabbaaaa\naaaaaaabbaa\naabbaaaaaa\n" }, { "input": "1\n100010 1\n", "output": 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560_A. Currency System in Geraldion
1437
1437_284
A magic island Geraldion, where Gerald lives, has its own currency system. It uses banknotes of several values. But the problem is, the system is not perfect and sometimes it happens that Geraldionians cannot express a certain sum of money with any set of banknotes. Of course, they can use any number of banknotes of each value. Such sum is called unfortunate. Gerald wondered: what is the minimum unfortunate sum? Input The first line contains number n (1 ≤ n ≤ 1000) — the number of values of the banknotes that used in Geraldion. The second line contains n distinct space-separated numbers a1, a2, ..., an (1 ≤ ai ≤ 106) — the values of the banknotes. Output Print a single line — the minimum unfortunate sum. If there are no unfortunate sums, print - 1. Examples Input 5 1 2 3 4 5 Output -1
n=int(input()) a=map(int,input().split()) ok=False for i in a: if i==1: ok=True if ok: print(-1) else: print(1)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: s: str a_list: List[int] @classmethod def from_str(cls, input_: str): s, a_list, _ = input_.split('\n') a_list = [int(x) for x in a_list.split(' ')] return cls(s, a_list) def __repr__(self): return self.s + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 1 2 3 4 5
O(n)
0.000002
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560_A. Currency System in Geraldion
1437
1437_223
A magic island Geraldion, where Gerald lives, has its own currency system. It uses banknotes of several values. But the problem is, the system is not perfect and sometimes it happens that Geraldionians cannot express a certain sum of money with any set of banknotes. Of course, they can use any number of banknotes of each value. Such sum is called unfortunate. Gerald wondered: what is the minimum unfortunate sum? Input The first line contains number n (1 ≤ n ≤ 1000) — the number of values of the banknotes that used in Geraldion. The second line contains n distinct space-separated numbers a1, a2, ..., an (1 ≤ ai ≤ 106) — the values of the banknotes. Output Print a single line — the minimum unfortunate sum. If there are no unfortunate sums, print - 1. Examples Input 5 1 2 3 4 5 Output -1
def meuIn(num, valores): for i in valores: if(i == num): return True if(i > num): return False return False def verificaValores(valores): if(not meuIn(1, valores)): return 1 return -1 num = int(input()) entrada = input().split() valores = [int(valor) for valor in entrada] valores.sort() print(verificaValores(valores))
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: s: str a_list: List[int] @classmethod def from_str(cls, input_: str): s, a_list, _ = input_.split('\n') a_list = [int(x) for x in a_list.split(' ')] return cls(s, a_list) def __repr__(self): return self.s + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 1 2 3 4 5
O(nlogn)
0.000014
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1296_E1. String Coloring (easy version)
2394
2394_125
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different. You are given a string s consisting of n lowercase Latin letters. You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s). After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times. The goal is to make the string sorted, i.e. all characters should be in alphabetical order. Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps. Input The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s. The second line of the input contains the string s consisting of exactly n lowercase Latin letters. Output If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line. Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise). Examples Input 9 abacbecfd Output YES 001010101 Input 8 aaabbcbb Output YES 01011011 Input 7 abcdedc Output NO Input 5 abcde Output YES 00000
#code n = int(input()) s = input() fl = True dp = [1]*n for i in range(1,n): for j in range(i): if s[j] > s[i]: dp[i] = max(dp[i],1+dp[j]) for i in dp: if i>=3: fl = False break if not fl: print("NO") else: ans = "0" mx = s[0] for i in range(1,n): if s[i] >= mx: ans += "0" mx = s[i] else: ans += "1" print("YES") print(ans)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int string: str @classmethod def from_str(cls, input_: str): n, string, _ = input_.split('\n') n = int(n) return cls(n, string) def __repr__(self): return str(self.n) + '\n' + self.string + '\n'
7 abcdedc
O(n**2)
0.000008
{ "public_tests": [ { "input": "7\nabcdedc\n", "output": "NO\n" }, { "input": "9\nabacbecfd\n", "output": "YES\n001010101\n" }, { "input": "5\nabcde\n", "output": "YES\n00000\n" }, { "input": "8\naaabbcbb\n", "output": "YES\n00000011\n" } ], "private_tests": [ { "input": "6\nqdlrhw\n", "output": "NO\n" }, { "input": "500\nxwxpgalijfbdbdmluuaubobxztpkfnuparzxczfzchinxdtaevbepdxlouzfzaizkinuaufhckjvydmgnkuaneqohcqocfrsbmmohgpoacnqlgspppfogdkkbrkrhdpdlnknjyeccbqssqtaqmyamtkedlhpbjmchfnmwhxepzfrfmlrxrirbvvlryzmulxqjlthclocmiudxbtqpihlnielggjxjmvqjbeozjpskenampuszybcorplicekprqbsdkidwpgwkrpvbpcsdcngawcgeyxsjimalrrwttjjualmhypzrmyauvtothnermlednvjbpgkehxbtbpxolmaapmlcuetghikbgtaspqesjkqwxtvccphjdqpuairsaypfudwvelmupbzhxwuchnfumcxmhflkpyzeppddtczbcjrookncgtojmujyvponennuudppqwwjtnwpgapokwzvbxohrdcvcckzbcrwwvfqlbnwbnmmvh\n", "output": "NO\n" }, { "input": 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1296_E1. String Coloring (easy version)
2394
2394_227
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different. You are given a string s consisting of n lowercase Latin letters. You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s). After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times. The goal is to make the string sorted, i.e. all characters should be in alphabetical order. Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps. Input The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s. The second line of the input contains the string s consisting of exactly n lowercase Latin letters. Output If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line. Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise). Examples Input 9 abacbecfd Output YES 001010101 Input 8 aaabbcbb Output YES 01011011 Input 7 abcdedc Output NO Input 5 abcde Output YES 00000
def main(): n = int(input().strip()) s = input().strip() result = [] a, b = "", "" for c in s: if c >= a: a = c result.append("1") elif c >= b: b = c result.append("0") else: print("NO") return print("YES") print("".join(result)) main()
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int string: str @classmethod def from_str(cls, input_: str): n, string, _ = input_.split('\n') n = int(n) return cls(n, string) def __repr__(self): return str(self.n) + '\n' + self.string + '\n'
7 abcdedc
O(n)
0.000002
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1296_E1. String Coloring (easy version)
2394
2394_182
This is an easy version of the problem. The actual problems are different, but the easy version is almost a subtask of the hard version. Note that the constraints and the output format are different. You are given a string s consisting of n lowercase Latin letters. You have to color all its characters one of the two colors (each character to exactly one color, the same letters can be colored the same or different colors, i.e. you can choose exactly one color for each index in s). After coloring, you can swap any two neighboring characters of the string that are colored different colors. You can perform such an operation arbitrary (possibly, zero) number of times. The goal is to make the string sorted, i.e. all characters should be in alphabetical order. Your task is to say if it is possible to color the given string so that after coloring it can become sorted by some sequence of swaps. Note that you have to restore only coloring, not the sequence of swaps. Input The first line of the input contains one integer n (1 ≤ n ≤ 200) — the length of s. The second line of the input contains the string s consisting of exactly n lowercase Latin letters. Output If it is impossible to color the given string so that after coloring it can become sorted by some sequence of swaps, print "NO" (without quotes) in the first line. Otherwise, print "YES" in the first line and any correct coloring in the second line (the coloring is the string consisting of n characters, the i-th character should be '0' if the i-th character is colored the first color and '1' otherwise). Examples Input 9 abacbecfd Output YES 001010101 Input 8 aaabbcbb Output YES 01011011 Input 7 abcdedc Output NO Input 5 abcde Output YES 00000
def main(): n = int(input()) s = input() fst_lst = [s[0]] snd_lst = [] ans = '1' for i in range(1, len(s)): if fst_lst[-1]<=s[i]: fst_lst.append(s[i]) ans+='1' else: snd_lst.append(s[i]) ans+='0' # print (*fst_lst) # print (*snd_lst) if sorted(snd_lst)==snd_lst: print ('YES') print (ans) else: print ('NO') main()
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int string: str @classmethod def from_str(cls, input_: str): n, string, _ = input_.split('\n') n = int(n) return cls(n, string) def __repr__(self): return str(self.n) + '\n' + self.string + '\n'
7 abcdedc
O(nlogn)
0.000018
{ "public_tests": [ { "input": "7\nabcdedc\n", "output": "NO\n" }, { "input": "9\nabacbecfd\n", "output": "YES\n001010101\n" }, { "input": "5\nabcde\n", "output": "YES\n00000\n" }, { "input": "8\naaabbcbb\n", "output": "YES\n00000011\n" } ], "private_tests": [ { "input": "6\nqdlrhw\n", "output": "NO\n" }, { "input": "500\nxwxpgalijfbdbdmluuaubobxztpkfnuparzxczfzchinxdtaevbepdxlouzfzaizkinuaufhckjvydmgnkuaneqohcqocfrsbmmohgpoacnqlgspppfogdkkbrkrhdpdlnknjyeccbqssqtaqmyamtkedlhpbjmchfnmwhxepzfrfmlrxrirbvvlryzmulxqjlthclocmiudxbtqpihlnielggjxjmvqjbeozjpskenampuszybcorplicekprqbsdkidwpgwkrpvbpcsdcngawcgeyxsjimalrrwttjjualmhypzrmyauvtothnermlednvjbpgkehxbtbpxolmaapmlcuetghikbgtaspqesjkqwxtvccphjdqpuairsaypfudwvelmupbzhxwuchnfumcxmhflkpyzeppddtczbcjrookncgtojmujyvponennuudppqwwjtnwpgapokwzvbxohrdcvcckzbcrwwvfqlbnwbnmmvh\n", "output": "NO\n" }, { "input": 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"200\naaaaaabbbbbbbbbbbbbccccccccccccdddeeeeeeffffggghhhhhhhhhiiiiiiiijjjjjjjjjjkkkkklllllmmmmmmmmmnnnnnnnoooooooppppppppqqqqqqrrrrrrrrrsssssssttttttttuuuuuuuuvvvvvvvvwwwwwwxxxxxxxyyyyyyyyyyzzzzzzzzzzzeinuy\n", "output": "YES\n00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111\n" }, { "input": "200\naaaaaaabcbbbbcccccdccdcdddddeeddeeeeeeeeeefffffffggghgghghhhhhhhihhhiiiiiiiijijijjjjkjkkkkkkkklkkllllllllmmmmmmmmmmmnnnnnnnnoooppnqnnqoqroooorsoppqqstttqruuurruvrrvvtvttvvtuwvwwwwxxxwxyzzxzzyyzzyyzzzz\n", "output": "YES\n00000000011110000001101000000011000000000000000000000110100000000111000000000101000001000000000110000000000000000000000000000000010110100111100111110000110001100110010110011010000000100001001100110000\n" }, { "input": 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638_A. Home Numbers
540
540_80
The main street of Berland is a straight line with n houses built along it (n is an even number). The houses are located at both sides of the street. The houses with odd numbers are at one side of the street and are numbered from 1 to n - 1 in the order from the beginning of the street to the end (in the picture: from left to right). The houses with even numbers are at the other side of the street and are numbered from 2 to n in the order from the end of the street to its beginning (in the picture: from right to left). The corresponding houses with even and odd numbers are strictly opposite each other, that is, house 1 is opposite house n, house 3 is opposite house n - 2, house 5 is opposite house n - 4 and so on. <image> Vasya needs to get to house number a as quickly as possible. He starts driving from the beginning of the street and drives his car to house a. To get from the beginning of the street to houses number 1 and n, he spends exactly 1 second. He also spends exactly one second to drive the distance between two neighbouring houses. Vasya can park at any side of the road, so the distance between the beginning of the street at the houses that stand opposite one another should be considered the same. Your task is: find the minimum time Vasya needs to reach house a. Input The first line of the input contains two integers, n and a (1 ≤ a ≤ n ≤ 100 000) — the number of houses on the street and the number of the house that Vasya needs to reach, correspondingly. It is guaranteed that number n is even. Output Print a single integer — the minimum time Vasya needs to get from the beginning of the street to house a. Examples Input 4 2 Output 2 Input 8 5 Output 3 Note In the first sample there are only four houses on the street, two houses at each side. House 2 will be the last at Vasya's right. The second sample corresponds to picture with n = 8. House 5 is the one before last at Vasya's left.
n, a = map(int,input().split()) k = a % 2 i = 1 if k == 0: na=n while na!=a: na = na-2 i +=1 else: na = 1 while a!=na: na += 2 i+=1 print(i)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int k: int @classmethod def from_str(cls, input_: str): n, k = input_.split('\n')[0].split(' ') n = int(n) k = int(k) return cls(n, k) def __repr__(self): return str(self.n) + ' ' + str(self.k) + '\n'
4 2
O(n)
0.000001
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638_A. Home Numbers
540
540_100
The main street of Berland is a straight line with n houses built along it (n is an even number). The houses are located at both sides of the street. The houses with odd numbers are at one side of the street and are numbered from 1 to n - 1 in the order from the beginning of the street to the end (in the picture: from left to right). The houses with even numbers are at the other side of the street and are numbered from 2 to n in the order from the end of the street to its beginning (in the picture: from right to left). The corresponding houses with even and odd numbers are strictly opposite each other, that is, house 1 is opposite house n, house 3 is opposite house n - 2, house 5 is opposite house n - 4 and so on. <image> Vasya needs to get to house number a as quickly as possible. He starts driving from the beginning of the street and drives his car to house a. To get from the beginning of the street to houses number 1 and n, he spends exactly 1 second. He also spends exactly one second to drive the distance between two neighbouring houses. Vasya can park at any side of the road, so the distance between the beginning of the street at the houses that stand opposite one another should be considered the same. Your task is: find the minimum time Vasya needs to reach house a. Input The first line of the input contains two integers, n and a (1 ≤ a ≤ n ≤ 100 000) — the number of houses on the street and the number of the house that Vasya needs to reach, correspondingly. It is guaranteed that number n is even. Output Print a single integer — the minimum time Vasya needs to get from the beginning of the street to house a. Examples Input 4 2 Output 2 Input 8 5 Output 3 Note In the first sample there are only four houses on the street, two houses at each side. House 2 will be the last at Vasya's right. The second sample corresponds to picture with n = 8. House 5 is the one before last at Vasya's left.
n, a = map(int, input().split()) print(a // 2 + 1 if a % 2 else (n - a + 2) // 2)
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: n: int k: int @classmethod def from_str(cls, input_: str): n, k = input_.split('\n')[0].split(' ') n = int(n) k = int(k) return cls(n, k) def __repr__(self): return str(self.n) + ' ' + str(self.k) + '\n'
4 2
O(1)
0.000002
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703_A. Mishka and Game
408
408_2
Mishka is a little polar bear. As known, little bears loves spending their free time playing dice for chocolates. Once in a wonderful sunny morning, walking around blocks of ice, Mishka met her friend Chris, and they started playing the game. Rules of the game are very simple: at first number of rounds n is defined. In every round each of the players throws a cubical dice with distinct numbers from 1 to 6 written on its faces. Player, whose value after throwing the dice is greater, wins the round. In case if player dice values are equal, no one of them is a winner. In average, player, who won most of the rounds, is the winner of the game. In case if two players won the same number of rounds, the result of the game is draw. Mishka is still very little and can't count wins and losses, so she asked you to watch their game and determine its result. Please help her! Input The first line of the input contains single integer n n (1 ≤ n ≤ 100) — the number of game rounds. The next n lines contains rounds description. i-th of them contains pair of integers mi and ci (1 ≤ mi, ci ≤ 6) — values on dice upper face after Mishka's and Chris' throws in i-th round respectively. Output If Mishka is the winner of the game, print "Mishka" (without quotes) in the only line. If Chris is the winner of the game, print "Chris" (without quotes) in the only line. If the result of the game is draw, print "Friendship is magic!^^" (without quotes) in the only line. Examples Input 3 3 5 2 1 4 2 Output Mishka Input 2 6 1 1 6 Output Friendship is magic!^^ Input 3 1 5 3 3 2 2 Output Chris Note In the first sample case Mishka loses the first round, but wins second and third rounds and thus she is the winner of the game. In the second sample case Mishka wins the first round, Chris wins the second round, and the game ends with draw with score 1:1. In the third sample case Chris wins the first round, but there is no winner of the next two rounds. The winner of the game is Chris.
n=int(input()) m=0 c=0 a=[] for i in range(n): a.append(list(map(int,input().split()))) if a[i][0]>a[i][1]: m+=1 if a[i][1]>a[i][0]: c+=1 if m>c: print("Mishka") if m<c: print("Chris") if m==c: print("Friendship is magic!^^")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: N: int pairs_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') N = int(lines[0]) pairs_list = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(pairs_list) == N return cls(N, pairs_list) def __repr__(self): return str(self.N) + '\n' + '\n'.join([' '.join(map(str, pair)) for pair in self.pairs_list]) + '\n'
2 6 1 1 6
O(n*m)
0.000002
{ "public_tests": [ { "input": "2\n6 1\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "3\n1 5\n3 3\n2 2\n", "output": "Chris\n" }, { "input": "3\n3 5\n2 1\n4 2\n", "output": "Mishka\n" } ], "private_tests": [ { "input": "55\n6 6\n6 5\n2 2\n2 2\n6 4\n5 5\n6 5\n5 3\n1 3\n2 2\n5 6\n3 3\n3 3\n6 5\n3 5\n5 5\n1 2\n1 1\n4 6\n1 2\n5 5\n6 2\n6 3\n1 2\n5 1\n1 3\n3 3\n4 4\n2 5\n1 1\n5 3\n4 3\n2 2\n4 5\n5 6\n4 5\n6 3\n1 6\n6 4\n3 6\n1 6\n5 2\n6 3\n2 3\n5 5\n4 3\n3 1\n4 2\n1 1\n2 5\n5 3\n2 2\n6 3\n4 5\n2 2\n", "output": "Mishka\n" }, { "input": "20\n5 1\n1 4\n4 3\n1 5\n4 2\n3 6\n6 2\n1 6\n4 1\n1 4\n5 2\n3 4\n5 1\n1 6\n5 1\n2 6\n6 3\n2 5\n6 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "5\n1 4\n2 5\n3 4\n2 6\n3 4\n", "output": "Chris\n" }, { "input": "59\n4 1\n5 3\n6 1\n4 2\n5 1\n4 3\n6 1\n5 1\n4 3\n4 3\n5 2\n5 3\n4 1\n6 2\n5 1\n6 3\n6 3\n5 2\n5 2\n6 1\n4 1\n6 1\n4 3\n5 3\n5 3\n4 3\n4 2\n4 2\n6 3\n6 3\n6 1\n4 3\n5 1\n6 2\n6 1\n4 1\n6 1\n5 3\n4 2\n5 1\n6 2\n6 2\n4 3\n5 3\n4 3\n6 3\n5 2\n5 2\n4 3\n5 1\n5 3\n6 1\n6 3\n6 3\n4 3\n5 2\n5 2\n5 2\n4 3\n", "output": "Mishka\n" }, { "input": "93\n4 3\n4 1\n4 2\n5 2\n5 3\n6 3\n4 3\n6 2\n6 3\n5 1\n4 2\n4 2\n5 1\n6 2\n6 3\n6 1\n4 1\n6 2\n5 3\n4 3\n4 1\n4 2\n5 2\n6 3\n5 2\n5 2\n6 3\n5 1\n6 2\n5 2\n4 1\n5 2\n5 1\n4 1\n6 1\n5 2\n4 3\n5 3\n5 3\n5 1\n4 3\n4 3\n4 2\n4 1\n6 2\n6 1\n4 1\n5 2\n5 2\n6 2\n5 3\n5 1\n6 2\n5 1\n6 3\n5 2\n6 2\n6 2\n4 2\n5 2\n6 1\n6 3\n6 3\n5 1\n5 1\n4 1\n5 1\n4 3\n5 3\n6 3\n4 1\n4 3\n6 1\n6 1\n4 2\n6 2\n4 2\n5 2\n4 1\n5 2\n4 1\n5 1\n5 2\n5 1\n4 1\n6 3\n6 2\n4 3\n4 1\n5 2\n4 3\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "50\n3 6\n2 6\n1 4\n1 4\n1 4\n2 5\n3 4\n3 5\n2 6\n1 6\n3 5\n1 5\n2 6\n2 4\n2 4\n3 5\n1 6\n1 5\n1 5\n1 4\n3 5\n1 6\n3 5\n1 4\n1 5\n1 4\n3 6\n1 6\n1 4\n1 4\n1 4\n1 5\n3 6\n1 6\n1 6\n2 4\n1 5\n2 6\n2 5\n3 5\n3 6\n3 4\n2 4\n2 6\n3 4\n2 5\n3 6\n3 5\n2 4\n2 4\n", "output": "Chris\n" }, { "input": "8\n2 4\n3 6\n1 6\n1 6\n2 4\n3 4\n3 6\n3 4\n", "output": "Chris\n" }, { "input": "79\n5 3\n4 6\n3 6\n2 1\n5 2\n2 3\n4 4\n6 2\n2 5\n1 6\n6 6\n2 6\n3 3\n4 5\n6 2\n2 1\n1 5\n5 1\n2 1\n2 6\n5 3\n6 2\n2 6\n2 3\n1 5\n4 4\n6 3\n5 2\n3 2\n1 3\n1 3\n6 3\n2 6\n3 6\n5 3\n4 5\n6 1\n3 5\n3 5\n6 5\n1 5\n4 2\n6 2\n2 3\n4 6\n3 6\n2 5\n4 4\n1 1\n4 6\n2 6\n6 4\n3 2\n4 1\n1 2\n6 4\n5 6\n1 4\n2 2\n5 4\n3 2\n1 2\n2 4\n2 5\n2 1\n3 6\n3 3\n1 1\n2 2\n4 4\n4 5\n3 3\n5 3\n6 2\n4 5\n6 5\n2 5\n5 6\n2 2\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "70\n3 4\n2 3\n2 3\n6 5\n6 6\n4 3\n2 3\n3 1\n3 5\n5 6\n1 6\n2 5\n5 3\n2 5\n4 6\n5 1\n6 1\n3 1\n3 3\n5 3\n2 1\n3 3\n6 4\n6 3\n4 3\n4 5\n3 5\n5 5\n5 2\n1 6\n3 4\n5 2\n2 4\n1 6\n4 3\n4 3\n6 2\n1 3\n1 5\n6 1\n3 1\n1 1\n1 3\n2 2\n3 2\n6 4\n1 1\n4 4\n3 1\n4 5\n4 2\n6 3\n4 4\n3 2\n1 2\n2 6\n3 3\n1 5\n1 1\n6 5\n2 2\n3 1\n5 4\n5 2\n6 4\n6 3\n6 6\n6 3\n3 3\n5 4\n", "output": "Mishka\n" }, { "input": "92\n1 5\n2 4\n3 5\n1 6\n2 5\n1 6\n3 6\n1 6\n2 4\n3 4\n3 4\n3 6\n1 5\n2 5\n1 5\n1 5\n2 6\n2 4\n3 6\n1 4\n1 6\n2 6\n3 4\n2 6\n2 6\n1 4\n3 5\n2 5\n2 6\n1 5\n1 4\n1 5\n3 6\n3 5\n2 5\n1 5\n3 5\n3 6\n2 6\n2 6\n1 5\n3 4\n2 4\n3 6\n2 5\n1 5\n2 4\n1 4\n2 6\n2 6\n2 6\n1 5\n3 6\n3 6\n2 5\n1 4\n2 4\n3 4\n1 5\n2 5\n2 4\n2 5\n3 5\n3 4\n3 6\n2 6\n3 5\n1 4\n3 4\n1 6\n3 6\n2 6\n1 4\n3 6\n3 6\n2 5\n2 6\n1 6\n2 6\n3 5\n2 5\n3 6\n2 5\n2 6\n1 5\n2 4\n1 4\n2 4\n1 5\n2 5\n2 5\n2 6\n", "output": "Chris\n" }, { "input": "44\n6 1\n1 6\n5 2\n1 4\n6 2\n2 5\n5 3\n3 6\n5 2\n1 6\n4 1\n2 4\n6 1\n3 4\n6 3\n3 6\n4 3\n2 4\n6 1\n3 4\n6 1\n1 6\n4 1\n3 5\n6 1\n3 6\n4 1\n1 4\n4 2\n2 6\n6 1\n2 4\n6 2\n1 4\n6 2\n2 4\n5 2\n3 6\n6 3\n2 6\n5 3\n3 4\n5 3\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "4\n4 1\n2 4\n5 3\n3 6\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n6 2\n2 5\n5 2\n3 6\n4 3\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "100\n4 3\n3 4\n5 1\n2 5\n5 3\n1 5\n6 3\n2 4\n5 2\n2 6\n5 2\n1 5\n6 3\n1 5\n6 3\n3 4\n5 2\n1 5\n6 1\n1 5\n4 2\n3 5\n6 3\n2 6\n6 3\n1 4\n6 2\n3 4\n4 1\n3 6\n5 1\n2 4\n5 1\n3 4\n6 2\n3 5\n4 1\n2 6\n4 3\n2 6\n5 2\n3 6\n6 2\n3 5\n4 3\n1 5\n5 3\n3 6\n4 2\n3 4\n6 1\n3 4\n5 2\n2 6\n5 2\n2 4\n6 2\n3 6\n4 3\n2 4\n4 3\n2 6\n4 2\n3 4\n6 3\n2 4\n6 3\n3 5\n5 2\n1 5\n6 3\n3 6\n4 3\n1 4\n5 2\n1 6\n4 1\n2 5\n4 1\n2 4\n4 2\n2 5\n6 1\n2 4\n6 3\n1 5\n4 3\n2 6\n6 3\n2 6\n5 3\n1 5\n4 1\n1 5\n6 2\n2 5\n5 1\n3 6\n4 3\n3 4\n", "output": "Friendship is magic!^^\n" }, { "input": "10\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "81\n4 2\n1 2\n2 3\n4 5\n6 2\n1 6\n3 6\n3 4\n4 6\n4 4\n3 5\n4 6\n3 6\n3 5\n3 1\n1 3\n5 3\n3 4\n1 1\n4 1\n1 2\n6 1\n1 3\n6 5\n4 5\n4 2\n4 5\n6 2\n1 2\n2 6\n5 2\n1 5\n2 4\n4 3\n5 4\n1 2\n5 3\n2 6\n6 4\n1 1\n1 3\n3 1\n3 1\n6 5\n5 5\n6 1\n6 6\n5 2\n1 3\n1 4\n2 3\n5 5\n3 1\n3 1\n4 4\n1 6\n6 4\n2 2\n4 6\n4 4\n2 6\n2 4\n2 4\n4 1\n1 6\n1 4\n1 3\n6 5\n5 1\n1 3\n5 1\n1 4\n3 5\n2 6\n1 3\n5 6\n3 5\n4 4\n5 5\n5 6\n4 3\n", "output": "Chris\n" }, { "input": "9\n5 2\n4 1\n4 1\n5 1\n6 2\n6 1\n5 3\n6 1\n6 2\n", "output": "Mishka\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "6\n5 2\n5 1\n6 1\n5 2\n4 2\n5 1\n", "output": "Mishka\n" }, { "input": "1\n1 1\n", "output": "Friendship is magic!^^\n" }, { "input": "8\n2 4\n1 4\n1 5\n2 6\n2 5\n2 5\n2 4\n2 5\n", "output": "Chris\n" }, { "input": "6\n6 3\n5 1\n6 3\n4 3\n4 3\n5 2\n", "output": "Mishka\n" }, { "input": "94\n2 4\n6 4\n1 6\n1 4\n5 1\n3 3\n4 3\n6 1\n6 5\n3 2\n2 3\n5 1\n5 3\n1 2\n4 3\n3 2\n2 3\n4 6\n1 3\n6 3\n1 1\n3 2\n4 3\n1 5\n4 6\n3 2\n6 3\n1 6\n1 1\n1 2\n3 5\n1 3\n3 5\n4 4\n4 2\n1 4\n4 5\n1 3\n1 2\n1 1\n5 4\n5 5\n6 1\n2 1\n2 6\n6 6\n4 2\n3 6\n1 6\n6 6\n1 5\n3 2\n1 2\n4 4\n6 4\n4 1\n1 5\n3 3\n1 3\n3 4\n4 4\n1 1\n2 5\n4 5\n3 1\n3 1\n3 6\n3 2\n1 4\n1 6\n6 3\n2 4\n1 1\n2 2\n2 2\n2 1\n5 4\n1 2\n6 6\n2 2\n3 3\n6 3\n6 3\n1 6\n2 3\n2 4\n2 3\n6 6\n2 6\n6 3\n3 5\n1 4\n1 1\n3 5\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "84\n6 1\n6 3\n6 3\n4 1\n4 3\n4 2\n6 3\n5 3\n6 1\n6 3\n4 3\n5 2\n5 3\n5 1\n6 2\n6 2\n6 1\n4 1\n6 3\n5 2\n4 1\n5 3\n6 3\n4 2\n6 2\n6 3\n4 3\n4 1\n4 3\n5 1\n5 1\n5 1\n4 1\n6 1\n4 3\n6 2\n5 1\n5 1\n6 2\n5 2\n4 1\n6 1\n6 1\n6 3\n6 2\n4 3\n6 3\n6 2\n5 2\n5 1\n4 3\n6 2\n4 1\n6 2\n6 1\n5 2\n5 1\n6 2\n6 1\n5 3\n5 2\n6 1\n6 3\n5 2\n6 1\n6 3\n4 3\n5 1\n6 3\n6 1\n5 3\n4 3\n5 2\n5 1\n6 2\n5 3\n6 1\n5 1\n4 1\n5 1\n5 1\n5 2\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "6\n5 3\n3 6\n6 2\n1 6\n5 1\n3 5\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n6 2\n1 5\n6 2\n2 3\n5 5\n1 2\n3 4\n3 4\n6 5\n6 4\n2 5\n4 1\n1 2\n1 1\n1 4\n2 5\n5 6\n6 3\n2 4\n5 5\n2 6\n3 4\n5 1\n3 3\n5 5\n4 6\n4 6\n2 4\n4 1\n5 2\n2 2\n3 6\n3 3\n4 6\n1 1\n2 4\n6 5\n5 2\n6 5\n5 5\n2 5\n6 4\n1 1\n6 2\n3 6\n6 5\n4 4\n1 5\n5 6\n4 4\n3 5\n6 1\n3 4\n1 5\n4 6\n4 6\n4 1\n3 6\n6 2\n1 1\n4 5\n5 4\n5 3\n3 4\n6 4\n1 1\n5 2\n6 5\n6 1\n2 2\n2 4\n3 3\n4 6\n1 3\n6 6\n5 2\n1 6\n6 2\n6 6\n4 1\n3 6\n6 4\n2 3\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n3 4\n5 1\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "76\n4 1\n5 2\n4 3\n5 2\n5 3\n5 2\n6 1\n4 2\n6 2\n5 3\n4 2\n6 2\n4 1\n4 2\n5 1\n5 1\n6 2\n5 2\n5 3\n6 3\n5 2\n4 3\n6 3\n6 1\n4 3\n6 2\n6 1\n4 1\n6 1\n5 3\n4 1\n5 3\n4 2\n5 2\n4 3\n6 1\n6 2\n5 2\n6 1\n5 3\n4 3\n5 1\n5 3\n4 3\n5 1\n5 1\n4 1\n4 1\n4 1\n4 3\n5 3\n6 3\n6 3\n5 2\n6 2\n6 3\n5 1\n6 3\n5 3\n6 1\n5 3\n4 1\n5 3\n6 1\n4 2\n6 2\n4 3\n4 1\n6 2\n4 3\n5 3\n5 2\n5 3\n5 1\n6 3\n5 2\n", "output": "Mishka\n" }, { "input": "7\n3 4\n1 4\n2 5\n1 6\n1 6\n1 5\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n2 4\n4 2\n3 6\n", "output": "Friendship is magic!^^\n" }, { "input": "42\n5 3\n5 1\n5 2\n4 1\n6 3\n6 1\n6 2\n4 1\n4 3\n4 1\n5 1\n5 3\n5 1\n4 1\n4 2\n6 1\n6 3\n5 1\n4 1\n4 1\n6 3\n4 3\n6 3\n5 2\n6 1\n4 1\n5 3\n4 3\n5 2\n6 3\n6 1\n5 1\n4 2\n4 3\n5 2\n5 3\n6 3\n5 2\n5 1\n5 3\n6 2\n6 1\n", "output": "Mishka\n" }, { "input": "100\n6 3\n4 5\n4 3\n5 4\n5 1\n6 3\n4 2\n4 6\n3 1\n2 4\n2 2\n4 6\n5 3\n5 5\n4 2\n6 2\n2 3\n4 4\n6 4\n3 5\n2 4\n2 2\n5 2\n3 5\n2 4\n4 4\n3 5\n6 5\n1 3\n1 6\n2 2\n2 4\n3 2\n5 4\n1 6\n3 4\n4 1\n1 5\n1 4\n5 3\n2 2\n4 5\n6 3\n4 4\n1 1\n4 1\n2 4\n4 1\n4 5\n5 3\n1 1\n1 6\n5 6\n6 6\n4 2\n4 3\n3 4\n3 6\n3 4\n6 5\n3 4\n5 4\n5 1\n5 3\n5 1\n1 2\n2 6\n3 4\n6 5\n4 3\n1 1\n5 5\n5 1\n3 3\n5 2\n1 3\n6 6\n5 6\n1 4\n4 4\n1 4\n3 6\n6 5\n3 3\n3 6\n1 5\n1 2\n3 6\n3 6\n4 1\n5 2\n1 2\n5 2\n3 3\n4 4\n4 2\n6 2\n5 4\n6 1\n6 3\n", "output": "Mishka\n" }, { "input": "78\n4 3\n3 5\n4 3\n1 5\n5 1\n1 5\n4 3\n1 4\n6 3\n1 5\n4 1\n2 4\n4 3\n2 4\n5 1\n3 6\n4 2\n3 6\n6 3\n3 4\n4 3\n3 6\n5 3\n1 5\n4 1\n2 6\n4 2\n2 4\n4 1\n3 5\n5 2\n3 6\n4 3\n2 4\n6 3\n1 6\n4 3\n3 5\n6 3\n2 6\n4 1\n2 4\n6 2\n1 6\n4 2\n1 4\n4 3\n1 4\n4 3\n2 4\n6 2\n3 5\n6 1\n3 6\n5 3\n1 6\n6 1\n2 6\n4 2\n1 5\n6 2\n2 6\n6 3\n2 4\n4 2\n3 5\n6 1\n2 5\n5 3\n2 6\n5 1\n3 6\n4 3\n3 6\n6 3\n2 5\n6 1\n2 6\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n3 6\n3 4\n2 5\n2 4\n1 6\n3 4\n1 5\n1 6\n3 5\n1 6\n2 4\n2 6\n2 6\n2 4\n3 5\n1 5\n3 6\n3 6\n3 4\n3 4\n2 6\n1 6\n1 6\n3 5\n3 4\n1 6\n3 4\n3 5\n2 4\n2 5\n2 5\n3 5\n1 6\n3 4\n2 6\n2 6\n3 4\n3 4\n2 5\n2 5\n2 4\n3 4\n2 5\n3 4\n3 4\n2 6\n2 6\n1 6\n2 4\n1 5\n3 4\n2 5\n2 5\n3 4\n2 4\n2 6\n2 6\n1 4\n3 5\n3 5\n2 4\n2 5\n3 4\n1 5\n1 5\n2 6\n1 5\n3 5\n2 4\n2 5\n3 4\n2 6\n1 6\n2 5\n3 5\n3 5\n3 4\n2 5\n2 6\n3 4\n1 6\n2 5\n2 6\n1 4\n", "output": "Chris\n" }, { "input": "67\n6 5\n3 6\n1 6\n5 3\n5 4\n5 1\n1 6\n1 1\n3 2\n4 4\n3 1\n4 1\n1 5\n5 3\n3 3\n6 4\n2 4\n2 2\n4 3\n1 4\n1 4\n6 1\n1 2\n2 2\n5 1\n6 2\n3 5\n5 5\n2 2\n6 5\n6 2\n4 4\n3 1\n4 2\n6 6\n6 4\n5 1\n2 2\n4 5\n5 5\n4 6\n1 5\n6 3\n4 4\n1 5\n6 4\n3 6\n3 4\n1 6\n2 4\n2 1\n2 5\n6 5\n6 4\n4 1\n3 2\n1 2\n5 1\n5 6\n1 5\n3 5\n3 1\n5 3\n3 2\n5 1\n4 6\n6 6\n", "output": "Mishka\n" }, { "input": "8\n6 1\n5 3\n4 3\n4 1\n5 1\n4 2\n4 2\n4 1\n", "output": "Mishka\n" }, { "input": "70\n6 1\n3 6\n4 3\n2 5\n5 2\n1 4\n6 2\n1 6\n4 3\n1 4\n5 3\n2 4\n5 3\n1 6\n5 1\n3 5\n4 2\n2 4\n5 1\n3 5\n6 2\n1 5\n4 2\n2 5\n5 3\n1 5\n4 2\n1 4\n5 2\n2 6\n4 3\n1 5\n6 2\n3 4\n4 2\n3 5\n6 3\n3 4\n5 1\n1 4\n4 2\n1 4\n6 3\n2 6\n5 2\n1 6\n6 1\n2 6\n5 3\n1 5\n5 1\n1 6\n4 1\n1 5\n4 2\n2 4\n5 1\n2 5\n6 3\n1 4\n6 3\n3 6\n5 1\n1 4\n5 3\n3 5\n4 2\n3 4\n6 2\n1 4\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n4 1\n4 2\n5 3\n5 1\n5 3\n4 1\n", "output": "Mishka\n" }, { "input": "8\n4 1\n2 6\n4 2\n2 5\n5 2\n3 5\n5 2\n1 5\n", "output": "Friendship is magic!^^\n" }, { "input": "5\n3 6\n3 5\n3 5\n1 6\n3 5\n", "output": "Chris\n" }, { "input": "65\n1 1\n5 1\n2 2\n5 4\n4 5\n2 5\n3 2\n5 6\n6 3\n1 1\n6 1\n1 5\n1 1\n5 2\n6 4\n1 6\n1 1\n4 3\n2 3\n5 6\n4 4\n6 2\n1 3\n4 3\n1 3\n6 3\n3 5\n4 2\n4 1\n6 1\n3 2\n2 6\n3 2\n3 5\n6 3\n4 3\n1 5\n2 6\n1 3\n4 1\n4 1\n2 5\n2 5\n6 2\n5 3\n3 1\n3 3\n5 1\n2 4\n5 3\n3 3\n1 1\n6 3\n3 3\n5 1\n1 6\n4 5\n6 6\n5 5\n2 5\n4 1\n2 2\n1 4\n1 6\n6 5\n", "output": "Mishka\n" }, { "input": "100\n4 3\n4 3\n4 2\n4 3\n4 1\n4 3\n5 2\n5 2\n6 2\n4 2\n5 1\n4 2\n5 2\n6 1\n4 1\n6 3\n5 3\n5 1\n5 1\n5 1\n5 3\n6 1\n6 1\n4 1\n5 2\n5 2\n6 1\n6 3\n4 2\n4 1\n5 3\n4 1\n5 3\n5 1\n6 3\n6 3\n6 1\n5 2\n5 3\n5 3\n6 1\n4 1\n6 2\n6 1\n6 2\n6 3\n4 3\n4 3\n6 3\n4 2\n4 2\n5 3\n5 2\n5 2\n4 3\n5 3\n5 2\n4 2\n5 1\n4 2\n5 1\n5 3\n6 3\n5 3\n5 3\n4 2\n4 1\n4 2\n4 3\n6 3\n4 3\n6 2\n6 1\n5 3\n5 2\n4 1\n6 1\n5 2\n6 2\n4 2\n6 3\n4 3\n5 1\n6 3\n5 2\n4 3\n5 3\n5 3\n4 3\n6 3\n4 3\n4 1\n5 1\n6 2\n6 3\n5 3\n6 1\n6 3\n5 3\n6 1\n", "output": "Mishka\n" }, { "input": "100\n4 1\n3 4\n4 6\n4 5\n6 5\n5 3\n6 2\n6 3\n5 2\n4 5\n1 5\n5 4\n1 4\n4 5\n4 6\n1 6\n4 4\n5 1\n6 4\n6 4\n4 6\n2 3\n6 2\n4 6\n1 4\n2 3\n4 3\n1 3\n6 2\n3 1\n3 4\n2 6\n4 5\n5 4\n2 2\n2 5\n4 1\n2 2\n3 3\n1 4\n5 6\n6 4\n4 2\n6 1\n5 5\n4 1\n2 1\n6 4\n4 4\n4 3\n5 3\n4 5\n5 3\n3 5\n6 3\n1 1\n3 4\n6 3\n6 1\n5 1\n2 4\n4 3\n2 2\n5 5\n1 5\n5 3\n4 6\n1 4\n6 3\n4 3\n2 4\n3 2\n2 4\n3 4\n6 2\n5 6\n1 2\n1 5\n5 5\n2 6\n5 1\n1 6\n5 3\n3 5\n2 6\n4 6\n6 2\n3 1\n5 5\n6 1\n3 6\n4 4\n1 1\n4 6\n5 3\n4 2\n5 1\n3 3\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "42\n1 5\n1 6\n1 6\n1 4\n2 5\n3 6\n1 6\n3 4\n2 5\n2 5\n2 4\n1 4\n3 4\n2 4\n2 6\n1 5\n3 6\n2 6\n2 6\n3 5\n1 4\n1 5\n2 6\n3 6\n1 4\n3 4\n2 4\n1 6\n3 4\n2 4\n2 6\n1 6\n1 4\n1 6\n1 6\n2 4\n1 5\n1 6\n2 5\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "8\n4 1\n6 2\n4 1\n5 3\n4 1\n5 3\n6 2\n5 3\n", "output": "Mishka\n" }, { "input": "86\n6 3\n2 4\n6 3\n3 5\n6 3\n1 5\n5 2\n2 4\n4 3\n2 6\n4 1\n2 6\n5 2\n1 4\n5 1\n2 4\n4 1\n1 4\n6 2\n3 5\n4 2\n2 4\n6 2\n1 5\n5 3\n2 5\n5 1\n1 6\n6 1\n1 4\n4 3\n3 4\n5 2\n2 4\n5 3\n2 5\n4 3\n3 4\n4 1\n1 5\n6 3\n3 4\n4 3\n3 4\n4 1\n3 4\n5 1\n1 6\n4 2\n1 6\n5 1\n2 4\n5 1\n3 6\n4 1\n1 5\n5 2\n1 4\n4 3\n2 5\n5 1\n1 5\n6 2\n2 6\n4 2\n2 4\n4 1\n2 5\n5 3\n3 4\n5 1\n3 4\n6 3\n3 4\n4 3\n2 6\n6 2\n2 5\n5 2\n3 5\n4 2\n3 6\n6 2\n3 4\n4 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "9\n2 5\n2 5\n1 4\n2 6\n2 4\n2 5\n2 6\n1 5\n2 5\n", "output": "Chris\n" }, { "input": "11\n1 6\n1 6\n2 4\n2 5\n3 4\n1 5\n1 6\n1 5\n1 6\n2 6\n3 4\n", "output": "Chris\n" }, { "input": "56\n6 4\n3 4\n6 1\n3 3\n1 4\n2 3\n1 5\n2 5\n1 5\n5 5\n2 3\n1 1\n3 2\n3 5\n4 6\n4 4\n5 2\n4 3\n3 1\n3 6\n2 3\n3 4\n5 6\n5 2\n5 6\n1 5\n1 5\n4 1\n6 3\n2 2\n2 1\n5 5\n2 1\n4 1\n5 4\n2 5\n4 1\n6 2\n3 4\n4 2\n6 4\n5 4\n4 2\n4 3\n6 2\n6 2\n3 1\n1 4\n3 6\n5 1\n5 5\n3 6\n6 4\n2 3\n6 5\n3 3\n", "output": "Mishka\n" }, { "input": "100\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "92\n2 3\n1 3\n2 6\n5 1\n5 5\n3 2\n5 6\n2 5\n3 1\n3 6\n4 5\n2 5\n1 2\n2 3\n6 5\n3 6\n4 4\n6 2\n4 5\n4 4\n5 1\n6 1\n3 4\n3 5\n6 6\n3 2\n6 4\n2 2\n3 5\n6 4\n6 3\n6 6\n3 4\n3 3\n6 1\n5 4\n6 2\n2 6\n5 6\n1 4\n4 6\n6 3\n3 1\n4 1\n6 6\n3 5\n6 3\n6 1\n1 6\n3 2\n6 6\n4 3\n3 4\n1 3\n3 5\n5 3\n6 5\n4 3\n5 5\n4 1\n1 5\n6 4\n2 3\n2 3\n1 5\n1 2\n5 2\n4 3\n3 6\n5 5\n5 4\n1 4\n3 3\n1 6\n5 6\n5 4\n5 3\n1 1\n6 2\n5 5\n2 5\n4 3\n6 6\n5 1\n1 1\n4 6\n4 6\n3 1\n6 4\n2 4\n2 2\n2 1\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "99\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "100\n2 4\n6 6\n3 2\n1 5\n5 2\n1 5\n1 5\n3 1\n6 5\n4 3\n1 1\n5 1\n3 3\n2 4\n1 5\n3 4\n5 1\n5 5\n2 5\n2 1\n4 3\n6 5\n1 1\n2 1\n1 3\n1 1\n6 4\n4 6\n6 4\n2 1\n2 5\n6 2\n3 4\n5 5\n1 4\n4 6\n3 4\n1 6\n5 1\n4 3\n3 4\n2 2\n1 2\n2 3\n1 3\n4 4\n5 5\n4 5\n4 4\n3 1\n4 5\n2 3\n2 6\n6 5\n6 1\n6 6\n2 3\n6 4\n3 3\n2 5\n4 4\n3 1\n2 4\n6 1\n3 2\n1 3\n5 4\n6 6\n2 5\n5 1\n1 1\n2 5\n6 5\n3 6\n5 6\n4 3\n3 4\n3 4\n6 5\n5 2\n4 2\n1 1\n3 1\n2 6\n1 6\n1 2\n6 1\n3 4\n1 6\n3 1\n5 3\n1 3\n5 6\n2 1\n6 4\n3 1\n1 6\n6 3\n3 3\n4 3\n", "output": "Chris\n" }, { "input": "9\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "100\n1 5\n1 4\n1 5\n2 4\n2 6\n3 6\n3 5\n1 5\n2 5\n3 6\n3 5\n1 6\n1 4\n1 5\n1 6\n2 6\n1 5\n3 5\n3 4\n2 6\n2 6\n2 5\n3 4\n1 6\n1 4\n2 4\n1 5\n1 6\n3 5\n1 6\n2 6\n3 5\n1 6\n3 4\n3 5\n1 6\n3 6\n2 4\n2 4\n3 5\n2 6\n1 5\n3 5\n3 6\n2 4\n2 4\n2 6\n3 4\n3 4\n1 5\n1 4\n2 5\n3 4\n1 4\n2 6\n2 5\n2 4\n2 4\n2 5\n1 5\n1 6\n1 5\n1 5\n1 5\n1 6\n3 4\n2 4\n3 5\n3 5\n1 6\n3 5\n1 5\n1 6\n3 6\n3 4\n1 5\n3 5\n3 6\n1 4\n3 6\n1 5\n3 5\n3 6\n3 5\n1 4\n3 4\n2 4\n2 4\n2 5\n3 6\n3 5\n1 5\n2 4\n1 4\n3 4\n1 5\n3 4\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n1 3\n", "output": "Mishka\n" } ], "generated_tests": [ { "input": "55\n6 6\n4 5\n2 2\n2 2\n6 4\n5 5\n6 5\n5 3\n1 3\n2 2\n5 6\n3 3\n3 3\n6 5\n3 5\n5 5\n1 2\n1 1\n4 6\n1 2\n5 5\n6 2\n6 3\n1 2\n5 1\n1 3\n3 3\n4 4\n2 5\n1 1\n5 3\n4 3\n2 2\n4 5\n5 6\n4 5\n6 3\n1 6\n6 4\n3 6\n1 6\n5 2\n6 3\n2 3\n5 5\n4 3\n3 1\n4 2\n1 1\n2 5\n5 3\n2 2\n6 3\n4 5\n2 2\n", "output": "Chris\n" }, { "input": "20\n3 1\n1 4\n4 3\n1 5\n4 2\n3 6\n6 2\n1 6\n4 1\n1 4\n5 2\n3 4\n5 1\n1 6\n5 1\n2 6\n6 3\n2 5\n6 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 2\n1 4\n", "output": "Mishka\n" }, { "input": "5\n1 4\n2 5\n3 4\n2 6\n3 8\n", "output": "Chris\n" }, { "input": "59\n4 1\n5 3\n6 1\n4 2\n5 1\n4 3\n6 1\n5 1\n4 3\n4 3\n5 2\n5 3\n4 1\n6 2\n5 1\n6 3\n6 3\n5 2\n5 2\n6 1\n4 1\n6 1\n4 3\n5 3\n5 3\n4 3\n4 2\n4 2\n6 3\n6 3\n6 1\n4 3\n5 1\n6 2\n6 1\n4 1\n6 1\n5 3\n4 2\n5 1\n6 2\n6 2\n4 3\n5 3\n4 3\n6 3\n5 2\n5 2\n4 3\n5 1\n5 3\n6 1\n6 3\n6 3\n4 4\n5 2\n5 2\n5 2\n4 3\n", "output": "Mishka\n" }, { "input": "93\n4 3\n4 1\n4 2\n5 2\n5 3\n6 3\n4 3\n6 2\n6 3\n5 1\n4 2\n4 2\n5 1\n6 2\n6 3\n6 1\n4 1\n6 2\n5 3\n4 3\n4 0\n4 2\n5 2\n6 3\n5 2\n5 2\n6 3\n5 1\n6 2\n5 2\n4 1\n5 2\n5 1\n4 1\n6 1\n5 2\n4 3\n5 3\n5 3\n5 1\n4 3\n4 3\n4 2\n4 1\n6 2\n6 1\n4 1\n5 2\n5 2\n6 2\n5 3\n5 1\n6 2\n5 1\n6 3\n5 2\n6 2\n6 2\n4 2\n5 2\n6 1\n6 3\n6 3\n5 1\n5 1\n4 1\n5 1\n4 3\n5 3\n6 3\n4 1\n4 3\n6 1\n6 1\n4 2\n6 2\n4 2\n5 2\n4 1\n5 2\n4 1\n5 1\n5 2\n5 1\n4 1\n6 3\n6 2\n4 3\n4 1\n5 2\n4 3\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "50\n3 6\n2 6\n1 4\n1 4\n1 4\n2 5\n3 4\n3 5\n2 6\n1 6\n3 5\n1 5\n2 6\n2 4\n2 4\n3 5\n1 6\n1 5\n1 5\n1 4\n3 5\n1 6\n3 5\n1 4\n1 5\n1 4\n3 6\n1 6\n0 4\n1 4\n1 4\n1 5\n3 6\n1 6\n1 6\n2 4\n1 5\n2 6\n2 5\n3 5\n3 6\n3 4\n2 4\n2 6\n3 4\n2 5\n3 6\n3 5\n2 4\n2 4\n", "output": "Chris\n" }, { "input": "8\n2 6\n3 6\n1 6\n1 6\n2 4\n3 4\n3 6\n3 4\n", "output": "Chris\n" }, { "input": "79\n5 3\n4 6\n3 6\n2 1\n5 2\n2 3\n4 4\n6 2\n2 5\n1 6\n6 6\n2 4\n3 3\n4 5\n6 2\n2 1\n1 5\n5 1\n2 1\n2 6\n5 3\n6 2\n2 6\n2 3\n1 5\n4 4\n6 3\n5 2\n3 2\n1 3\n1 3\n6 3\n2 6\n3 6\n5 3\n4 5\n6 1\n3 5\n3 5\n6 5\n1 5\n4 2\n6 2\n2 3\n4 6\n3 6\n2 5\n4 4\n1 1\n4 6\n2 6\n6 4\n3 2\n4 1\n1 2\n6 4\n5 6\n1 4\n2 2\n5 4\n3 2\n1 2\n2 4\n2 5\n2 1\n3 6\n3 3\n1 1\n2 2\n4 4\n4 5\n3 3\n5 3\n6 2\n4 5\n6 5\n2 5\n5 6\n2 2\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "70\n3 4\n2 3\n2 3\n6 5\n6 6\n4 3\n2 3\n3 1\n3 5\n5 6\n1 6\n2 5\n5 3\n2 5\n4 6\n5 1\n6 1\n3 1\n3 3\n5 3\n2 1\n3 3\n6 4\n6 3\n4 3\n4 5\n3 5\n5 5\n5 2\n1 6\n3 4\n5 2\n2 4\n1 6\n4 3\n4 3\n6 2\n1 3\n1 5\n6 1\n3 1\n1 1\n1 3\n2 2\n3 2\n6 4\n1 1\n4 4\n3 1\n4 3\n4 2\n6 3\n4 4\n3 2\n1 2\n2 6\n3 3\n1 5\n1 1\n6 5\n2 2\n3 1\n5 4\n5 2\n6 4\n6 3\n6 6\n6 3\n3 3\n5 4\n", "output": "Mishka\n" }, { "input": "92\n1 5\n2 4\n3 5\n1 6\n2 5\n1 6\n3 6\n1 6\n2 4\n3 6\n3 4\n3 6\n1 5\n2 5\n1 5\n1 5\n2 6\n2 4\n3 6\n1 4\n1 6\n2 6\n3 4\n2 6\n2 6\n1 4\n3 5\n2 5\n2 6\n1 5\n1 4\n1 5\n3 6\n3 5\n2 5\n1 5\n3 5\n3 6\n2 6\n2 6\n1 5\n3 4\n2 4\n3 6\n2 5\n1 5\n2 4\n1 4\n2 6\n2 6\n2 6\n1 5\n3 6\n3 6\n2 5\n1 4\n2 4\n3 4\n1 5\n2 5\n2 4\n2 5\n3 5\n3 4\n3 6\n2 6\n3 5\n1 4\n3 4\n1 6\n3 6\n2 6\n1 4\n3 6\n3 6\n2 5\n2 6\n1 6\n2 6\n3 5\n2 5\n3 6\n2 5\n2 6\n1 5\n2 4\n1 4\n2 4\n1 5\n2 5\n2 5\n2 6\n", "output": "Chris\n" }, { "input": "44\n6 1\n1 6\n5 2\n1 4\n6 2\n2 5\n5 3\n3 6\n5 2\n1 6\n4 1\n2 4\n6 1\n3 4\n6 3\n3 6\n4 3\n2 4\n6 1\n3 4\n6 1\n1 6\n4 1\n3 5\n6 1\n3 6\n4 1\n1 4\n4 2\n2 6\n6 0\n2 4\n6 2\n1 4\n6 2\n2 4\n5 2\n3 6\n6 3\n2 6\n5 3\n3 4\n5 3\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "4\n4 1\n2 4\n5 3\n6 6\n", "output": "Mishka\n" }, { "input": "6\n6 2\n2 5\n5 2\n3 6\n4 6\n1 6\n", "output": "Chris\n" }, { "input": "100\n4 3\n3 4\n5 1\n2 5\n5 3\n1 5\n6 3\n2 4\n5 2\n2 6\n5 2\n1 5\n6 3\n1 5\n6 3\n3 4\n5 2\n1 5\n6 1\n1 5\n4 2\n3 5\n6 3\n2 6\n6 3\n1 4\n6 2\n3 4\n4 1\n3 6\n5 1\n2 4\n5 1\n3 4\n6 2\n3 5\n4 1\n2 6\n4 3\n2 6\n5 2\n3 6\n6 2\n3 5\n4 3\n1 5\n5 3\n3 6\n4 2\n3 4\n6 1\n3 4\n5 2\n2 6\n5 2\n2 4\n6 2\n3 6\n4 3\n2 4\n4 3\n2 6\n4 2\n3 4\n6 3\n2 4\n6 3\n3 5\n5 2\n1 5\n6 3\n3 6\n4 3\n1 4\n5 2\n1 6\n4 1\n2 5\n4 1\n2 4\n4 2\n2 5\n6 1\n2 4\n6 3\n1 5\n4 3\n2 6\n6 3\n2 6\n5 3\n1 5\n4 1\n1 5\n6 2\n2 5\n5 1\n3 6\n4 3\n3 7\n", "output": "Friendship is magic!^^\n" }, { "input": "10\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 0\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "81\n4 2\n1 2\n2 3\n4 5\n6 2\n1 6\n3 6\n3 4\n4 6\n4 4\n3 5\n4 6\n3 6\n3 5\n3 1\n1 3\n5 3\n3 4\n1 1\n4 1\n1 2\n6 1\n1 3\n6 5\n4 5\n4 2\n4 5\n6 2\n1 2\n2 6\n5 2\n1 5\n2 4\n4 3\n5 4\n1 2\n5 3\n2 6\n6 4\n1 1\n1 3\n3 1\n5 1\n6 5\n5 5\n6 1\n6 6\n5 2\n1 3\n1 4\n2 3\n5 5\n3 1\n3 1\n4 4\n1 6\n6 4\n2 2\n4 6\n4 4\n2 6\n2 4\n2 4\n4 1\n1 6\n1 4\n1 3\n6 5\n5 1\n1 3\n5 1\n1 4\n3 5\n2 6\n1 3\n5 6\n3 5\n4 4\n5 5\n5 6\n4 3\n", "output": "Chris\n" }, { "input": "9\n5 2\n4 1\n4 0\n5 1\n6 2\n6 1\n5 3\n6 1\n6 2\n", "output": "Mishka\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n5 2\n2 1\n6 1\n5 2\n4 2\n5 1\n", "output": "Mishka\n" }, { "input": "1\n1 0\n", "output": "Mishka\n" }, { "input": "8\n2 4\n1 4\n1 5\n2 6\n2 5\n2 5\n2 4\n2 10\n", "output": "Chris\n" }, { "input": "6\n4 3\n5 1\n6 3\n4 3\n4 3\n5 2\n", "output": "Mishka\n" }, { "input": "94\n2 4\n6 4\n1 6\n1 4\n5 1\n3 3\n4 3\n6 1\n6 5\n3 2\n2 3\n5 1\n5 3\n1 2\n4 3\n3 2\n3 3\n4 6\n1 3\n6 3\n1 1\n3 2\n4 3\n1 5\n4 6\n3 2\n6 3\n1 6\n1 1\n1 2\n3 5\n1 3\n3 5\n4 4\n4 2\n1 4\n4 5\n1 3\n1 2\n1 1\n5 4\n5 5\n6 1\n2 1\n2 6\n6 6\n4 2\n3 6\n1 6\n6 6\n1 5\n3 2\n1 2\n4 4\n6 4\n4 1\n1 5\n3 3\n1 3\n3 4\n4 4\n1 1\n2 5\n4 5\n3 1\n3 1\n3 6\n3 2\n1 4\n1 6\n6 3\n2 4\n1 1\n2 2\n2 2\n2 1\n5 4\n1 2\n6 6\n2 2\n3 3\n6 3\n6 3\n1 6\n2 3\n2 4\n2 3\n6 6\n2 6\n6 3\n3 5\n1 4\n1 1\n3 5\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 4\n", "output": "Mishka\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "84\n6 1\n6 3\n6 3\n4 1\n4 3\n4 2\n6 3\n5 3\n6 1\n6 3\n4 3\n5 2\n5 3\n5 1\n6 2\n6 2\n6 1\n4 1\n6 3\n5 2\n4 1\n5 3\n6 3\n4 2\n6 2\n6 3\n4 3\n4 1\n4 3\n5 1\n5 1\n5 1\n4 1\n9 1\n4 3\n6 2\n5 1\n5 1\n6 2\n5 2\n4 1\n6 1\n6 1\n6 3\n6 2\n4 3\n6 3\n6 2\n5 2\n5 1\n4 3\n6 2\n4 1\n6 2\n6 1\n5 2\n5 1\n6 2\n6 1\n5 3\n5 2\n6 1\n6 3\n5 2\n6 1\n6 3\n4 3\n5 1\n6 3\n6 1\n5 3\n4 3\n5 2\n5 1\n6 2\n5 3\n6 1\n5 1\n4 1\n5 1\n5 1\n5 2\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "6\n5 3\n0 6\n6 2\n1 6\n5 1\n3 5\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n6 2\n1 5\n6 2\n2 3\n5 5\n1 2\n3 4\n3 4\n6 5\n6 4\n2 5\n4 1\n1 2\n1 1\n1 4\n2 5\n5 6\n6 3\n2 4\n5 5\n2 6\n3 4\n5 1\n3 3\n5 5\n4 6\n4 6\n2 4\n4 1\n5 2\n2 2\n3 6\n3 3\n4 6\n1 1\n2 4\n6 5\n5 2\n6 5\n5 5\n2 5\n6 4\n1 1\n6 2\n3 6\n6 5\n4 4\n1 5\n5 6\n4 4\n3 5\n6 1\n3 4\n1 5\n4 6\n4 6\n4 1\n3 6\n6 2\n1 1\n4 5\n5 4\n5 3\n3 4\n6 4\n1 1\n5 2\n6 5\n6 1\n2 2\n2 4\n3 3\n4 6\n1 3\n6 6\n5 2\n1 3\n6 2\n6 6\n4 1\n3 6\n6 4\n2 3\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 0\n3 4\n5 1\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "76\n4 1\n5 2\n4 3\n5 2\n5 3\n5 2\n6 1\n4 2\n6 2\n5 3\n4 2\n6 2\n4 1\n4 2\n5 1\n5 1\n6 2\n5 2\n5 3\n6 3\n5 2\n4 3\n6 3\n6 1\n4 3\n6 2\n6 1\n4 1\n6 1\n5 3\n4 1\n5 3\n4 2\n5 2\n4 3\n6 1\n6 2\n5 2\n6 1\n5 3\n4 3\n5 1\n5 3\n4 3\n5 1\n0 1\n4 1\n4 1\n4 1\n4 3\n5 3\n6 3\n6 3\n5 2\n6 2\n6 3\n5 1\n6 3\n5 3\n6 1\n5 3\n4 1\n5 3\n6 1\n4 2\n6 2\n4 3\n4 1\n6 2\n4 3\n5 3\n5 2\n5 3\n5 1\n6 3\n5 2\n", "output": "Mishka\n" }, { "input": "7\n3 4\n1 3\n2 5\n1 6\n1 6\n1 5\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n2 4\n5 2\n3 6\n", "output": "Friendship is magic!^^\n" }, { "input": "42\n5 3\n5 1\n5 2\n4 1\n6 3\n6 1\n6 2\n4 1\n4 3\n4 1\n5 1\n5 3\n5 1\n4 1\n4 2\n6 1\n6 3\n5 1\n3 1\n4 1\n6 3\n4 3\n6 3\n5 2\n6 1\n4 1\n5 3\n4 3\n5 2\n6 3\n6 1\n5 1\n4 2\n4 3\n5 2\n5 3\n6 3\n5 2\n5 1\n5 3\n6 2\n6 1\n", "output": "Mishka\n" }, { "input": "100\n6 3\n4 5\n4 3\n5 4\n5 1\n6 3\n4 2\n4 6\n3 1\n2 4\n2 2\n4 6\n5 3\n5 5\n4 2\n6 2\n2 3\n4 4\n6 4\n3 5\n2 4\n2 2\n5 2\n3 5\n2 4\n4 4\n3 5\n6 5\n1 3\n1 6\n2 4\n2 4\n3 2\n5 4\n1 6\n3 4\n4 1\n1 5\n1 4\n5 3\n2 2\n4 5\n6 3\n4 4\n1 1\n4 1\n2 4\n4 1\n4 5\n5 3\n1 1\n1 6\n5 6\n6 6\n4 2\n4 3\n3 4\n3 6\n3 4\n6 5\n3 4\n5 4\n5 1\n5 3\n5 1\n1 2\n2 6\n3 4\n6 5\n4 3\n1 1\n5 5\n5 1\n3 3\n5 2\n1 3\n6 6\n5 6\n1 4\n4 4\n1 4\n3 6\n6 5\n3 3\n3 6\n1 5\n1 2\n3 6\n3 6\n4 1\n5 2\n1 2\n5 2\n3 3\n4 4\n4 2\n6 2\n5 4\n6 1\n6 3\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n3 6\n3 4\n2 5\n2 4\n1 6\n3 8\n1 5\n1 6\n3 5\n1 6\n2 4\n2 6\n2 6\n2 4\n3 5\n1 5\n3 6\n3 6\n3 4\n3 4\n2 6\n1 6\n1 6\n3 5\n3 4\n1 6\n3 4\n3 5\n2 4\n2 5\n2 5\n3 5\n1 6\n3 4\n2 6\n2 6\n3 4\n3 4\n2 5\n2 5\n2 4\n3 4\n2 5\n3 4\n3 4\n2 6\n2 6\n1 6\n2 4\n1 5\n3 4\n2 5\n2 5\n3 4\n2 4\n2 6\n2 6\n1 4\n3 5\n3 5\n2 4\n2 5\n3 4\n1 5\n1 5\n2 6\n1 5\n3 5\n2 4\n2 5\n3 4\n2 6\n1 6\n2 5\n3 5\n3 5\n3 4\n2 5\n2 6\n3 4\n1 6\n2 5\n2 6\n1 4\n", "output": "Chris\n" }, { "input": "67\n6 5\n3 6\n1 6\n5 3\n5 4\n5 1\n1 6\n1 1\n3 2\n4 4\n3 1\n4 1\n1 5\n5 3\n3 3\n6 4\n2 4\n2 2\n4 3\n1 4\n1 4\n6 1\n1 2\n2 2\n5 1\n6 2\n3 5\n5 5\n2 2\n6 5\n6 2\n4 4\n6 1\n4 2\n6 6\n6 4\n5 1\n2 2\n4 5\n5 5\n4 6\n1 5\n6 3\n4 4\n1 5\n6 4\n3 6\n3 4\n1 6\n2 4\n2 1\n2 5\n6 5\n6 4\n4 1\n3 2\n1 2\n5 1\n5 6\n1 5\n3 5\n3 1\n5 3\n3 2\n5 1\n4 6\n6 6\n", "output": "Mishka\n" }, { "input": "8\n6 1\n5 3\n4 3\n4 1\n5 1\n4 2\n4 0\n4 1\n", "output": "Mishka\n" }, { "input": "70\n6 1\n3 6\n4 3\n2 5\n5 2\n1 4\n6 2\n1 6\n4 3\n1 4\n5 3\n2 4\n5 3\n1 6\n5 1\n3 5\n4 2\n2 4\n5 1\n3 5\n6 2\n1 5\n4 2\n2 5\n5 3\n1 5\n4 2\n1 4\n5 2\n2 6\n4 3\n1 5\n6 2\n3 4\n4 2\n3 5\n6 3\n3 4\n5 1\n1 4\n4 2\n1 4\n6 3\n2 6\n5 2\n1 6\n6 1\n2 6\n5 3\n1 5\n5 1\n1 6\n4 1\n1 5\n4 2\n2 4\n5 1\n2 5\n6 3\n1 4\n6 3\n3 6\n5 1\n1 4\n5 3\n3 5\n4 2\n3 4\n6 2\n0 4\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n4 1\n3 2\n5 3\n5 1\n5 3\n4 1\n", "output": "Mishka\n" }, { "input": "8\n4 1\n2 6\n4 2\n2 5\n5 0\n3 5\n5 2\n1 5\n", "output": "Friendship is magic!^^\n" }, { "input": "5\n3 6\n3 5\n4 5\n1 6\n3 5\n", "output": "Chris\n" }, { "input": "65\n1 1\n5 1\n2 2\n5 4\n4 5\n2 6\n3 2\n5 6\n6 3\n1 1\n6 1\n1 5\n1 1\n5 2\n6 4\n1 6\n1 1\n4 3\n2 3\n5 6\n4 4\n6 2\n1 3\n4 3\n1 3\n6 3\n3 5\n4 2\n4 1\n6 1\n3 2\n2 6\n3 2\n3 5\n6 3\n4 3\n1 5\n2 6\n1 3\n4 1\n4 1\n2 5\n2 5\n6 2\n5 3\n3 1\n3 3\n5 1\n2 4\n5 3\n3 3\n1 1\n6 3\n3 3\n5 1\n1 6\n4 5\n6 6\n5 5\n2 5\n4 1\n2 2\n1 4\n1 6\n6 5\n", "output": "Mishka\n" }, { "input": "100\n4 3\n4 3\n4 2\n4 3\n4 1\n4 3\n5 2\n7 2\n6 2\n4 2\n5 1\n4 2\n5 2\n6 1\n4 1\n6 3\n5 3\n5 1\n5 1\n5 1\n5 3\n6 1\n6 1\n4 1\n5 2\n5 2\n6 1\n6 3\n4 2\n4 1\n5 3\n4 1\n5 3\n5 1\n6 3\n6 3\n6 1\n5 2\n5 3\n5 3\n6 1\n4 1\n6 2\n6 1\n6 2\n6 3\n4 3\n4 3\n6 3\n4 2\n4 2\n5 3\n5 2\n5 2\n4 3\n5 3\n5 2\n4 2\n5 1\n4 2\n5 1\n5 3\n6 3\n5 3\n5 3\n4 2\n4 1\n4 2\n4 3\n6 3\n4 3\n6 2\n6 1\n5 3\n5 2\n4 1\n6 1\n5 2\n6 2\n4 2\n6 3\n4 3\n5 1\n6 3\n5 2\n4 3\n5 3\n5 3\n4 3\n6 3\n4 3\n4 1\n5 1\n6 2\n6 3\n5 3\n6 1\n6 3\n5 3\n6 1\n", "output": "Mishka\n" }, { "input": "100\n4 1\n3 4\n4 6\n4 5\n6 5\n5 3\n6 2\n6 3\n5 2\n4 5\n1 5\n5 4\n1 4\n4 5\n4 6\n1 6\n4 4\n5 1\n6 4\n6 4\n4 6\n2 3\n6 2\n4 6\n1 4\n2 3\n4 3\n1 3\n6 2\n3 1\n3 4\n2 6\n4 5\n5 4\n2 2\n2 5\n4 1\n2 2\n3 3\n1 4\n5 6\n6 4\n4 2\n6 1\n5 5\n4 1\n2 1\n6 4\n4 4\n6 3\n5 3\n4 5\n5 3\n3 5\n6 3\n1 1\n3 4\n6 3\n6 1\n5 1\n2 4\n4 3\n2 2\n5 5\n1 5\n5 3\n4 6\n1 4\n6 3\n4 3\n2 4\n3 2\n2 4\n3 4\n6 2\n5 6\n1 2\n1 5\n5 5\n2 6\n5 1\n1 6\n5 3\n3 5\n2 6\n4 6\n6 2\n3 1\n5 5\n6 1\n3 6\n4 4\n1 1\n4 6\n5 3\n4 2\n5 1\n3 3\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "42\n1 5\n1 6\n1 6\n1 4\n2 5\n3 6\n1 6\n3 4\n2 5\n2 5\n2 4\n1 4\n3 4\n2 4\n2 6\n1 5\n3 6\n2 6\n2 6\n3 5\n1 4\n1 5\n2 6\n3 6\n1 4\n3 4\n2 0\n1 6\n3 4\n2 4\n2 6\n1 6\n1 4\n1 6\n1 6\n2 4\n1 5\n1 6\n2 5\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "8\n4 1\n6 2\n4 1\n5 3\n4 2\n5 3\n6 2\n5 3\n", "output": "Mishka\n" }, { "input": "86\n6 3\n2 4\n6 3\n3 5\n6 3\n1 5\n5 2\n2 4\n4 3\n2 6\n4 1\n2 6\n5 2\n1 4\n5 1\n2 4\n4 1\n1 4\n6 2\n3 5\n4 2\n2 4\n6 4\n1 5\n5 3\n2 5\n5 1\n1 6\n6 1\n1 4\n4 3\n3 4\n5 2\n2 4\n5 3\n2 5\n4 3\n3 4\n4 1\n1 5\n6 3\n3 4\n4 3\n3 4\n4 1\n3 4\n5 1\n1 6\n4 2\n1 6\n5 1\n2 4\n5 1\n3 6\n4 1\n1 5\n5 2\n1 4\n4 3\n2 5\n5 1\n1 5\n6 2\n2 6\n4 2\n2 4\n4 1\n2 5\n5 3\n3 4\n5 1\n3 4\n6 3\n3 4\n4 3\n2 6\n6 2\n2 5\n5 2\n3 5\n4 2\n3 6\n6 2\n3 4\n4 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "9\n2 5\n2 3\n1 4\n2 6\n2 4\n2 5\n2 6\n1 5\n2 5\n", "output": "Chris\n" }, { "input": "11\n1 7\n1 6\n2 4\n2 5\n3 4\n1 5\n1 6\n1 5\n1 6\n2 6\n3 4\n", "output": "Chris\n" }, { "input": "56\n6 4\n3 4\n6 1\n3 3\n1 4\n2 3\n1 5\n2 5\n1 5\n5 5\n2 3\n1 1\n3 2\n3 5\n4 6\n4 4\n5 2\n4 3\n3 1\n3 6\n2 3\n3 4\n5 6\n5 4\n5 6\n1 5\n1 5\n4 1\n6 3\n2 2\n2 1\n5 5\n2 1\n4 1\n5 4\n2 5\n4 1\n6 2\n3 4\n4 2\n6 4\n5 4\n4 2\n4 3\n6 2\n6 2\n3 1\n1 4\n3 6\n5 1\n5 5\n3 6\n6 4\n2 3\n6 5\n3 3\n", "output": "Mishka\n" }, { "input": "100\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "92\n2 3\n1 3\n2 6\n5 1\n5 5\n3 2\n5 6\n2 5\n3 1\n3 6\n4 5\n2 5\n1 2\n2 3\n6 5\n3 6\n4 4\n6 2\n4 5\n4 4\n5 1\n6 1\n3 4\n3 5\n6 6\n3 2\n6 4\n2 2\n3 5\n6 4\n6 3\n6 6\n3 4\n3 3\n6 1\n5 4\n6 2\n2 6\n5 6\n1 4\n4 6\n6 3\n3 1\n4 1\n6 6\n3 5\n6 3\n6 1\n1 6\n3 2\n6 6\n4 3\n3 4\n1 3\n3 5\n5 3\n6 5\n4 3\n5 5\n4 1\n1 5\n6 4\n2 3\n2 3\n1 5\n1 2\n5 2\n4 3\n3 6\n5 5\n5 4\n1 4\n3 3\n1 6\n5 6\n5 4\n5 3\n1 1\n6 2\n5 5\n2 5\n4 3\n6 6\n5 1\n1 1\n4 6\n4 6\n3 1\n6 5\n2 4\n2 2\n2 1\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n0 6\n1 6\n", "output": "Mishka\n" }, { "input": "99\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "100\n2 4\n6 6\n3 2\n1 5\n5 2\n1 5\n1 5\n3 1\n6 5\n4 3\n1 1\n5 1\n3 3\n2 4\n1 5\n3 4\n5 1\n9 5\n2 5\n2 1\n4 3\n6 5\n1 1\n2 1\n1 3\n1 1\n6 4\n4 6\n6 4\n2 1\n2 5\n6 2\n3 4\n5 5\n1 4\n4 6\n3 4\n1 6\n5 1\n4 3\n3 4\n2 2\n1 2\n2 3\n1 3\n4 4\n5 5\n4 5\n4 4\n3 1\n4 5\n2 3\n2 6\n6 5\n6 1\n6 6\n2 3\n6 4\n3 3\n2 5\n4 4\n3 1\n2 4\n6 1\n3 2\n1 3\n5 4\n6 6\n2 5\n5 1\n1 1\n2 5\n6 5\n3 6\n5 6\n4 3\n3 4\n3 4\n6 5\n5 2\n4 2\n1 1\n3 1\n2 6\n1 6\n1 2\n6 1\n3 4\n1 6\n3 1\n5 3\n1 3\n5 6\n2 1\n6 4\n3 1\n1 6\n6 3\n3 3\n4 3\n", "output": "Chris\n" }, { "input": "9\n1 2\n0 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n0 1\n1 6\n1 6\n1 6\n1 6\n", "output": "Chris\n" }, { "input": "100\n1 5\n1 4\n1 5\n2 4\n2 6\n3 6\n3 5\n1 5\n2 5\n3 6\n3 5\n1 6\n1 4\n1 5\n1 6\n2 6\n1 5\n3 5\n3 4\n2 6\n2 6\n2 5\n3 4\n1 6\n1 4\n2 4\n1 5\n1 6\n3 5\n1 6\n2 6\n3 5\n1 6\n3 4\n3 5\n1 6\n3 6\n2 4\n2 4\n3 5\n2 6\n1 5\n3 5\n3 6\n2 4\n2 4\n2 6\n3 4\n3 4\n1 5\n1 4\n2 5\n3 4\n1 4\n2 6\n2 5\n2 4\n2 4\n2 10\n1 5\n1 6\n1 5\n1 5\n1 5\n1 6\n3 4\n2 4\n3 5\n3 5\n1 6\n3 5\n1 5\n1 6\n3 6\n3 4\n1 5\n3 5\n3 6\n1 4\n3 6\n1 5\n3 5\n3 6\n3 5\n1 4\n3 4\n2 4\n2 4\n2 5\n3 6\n3 5\n1 5\n2 4\n1 4\n3 4\n1 5\n3 4\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n0 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "2\n6 1\n1 8\n", "output": "Friendship is magic!^^\n" }, { "input": "3\n1 5\n4 3\n2 2\n", "output": "Friendship is magic!^^\n" }, { "input": "3\n3 5\n2 2\n4 2\n", "output": "Friendship is magic!^^\n" }, { "input": "55\n6 6\n4 5\n2 2\n2 2\n6 4\n5 5\n6 5\n5 3\n1 3\n2 2\n5 6\n3 3\n3 3\n6 5\n3 5\n5 5\n1 2\n0 1\n4 6\n1 2\n5 5\n6 2\n6 3\n1 2\n5 1\n1 3\n3 3\n4 4\n2 5\n1 1\n5 3\n4 3\n2 2\n4 5\n5 6\n4 5\n6 3\n1 6\n6 4\n3 6\n1 6\n5 2\n6 3\n2 3\n5 5\n4 3\n3 1\n4 2\n1 1\n2 5\n5 3\n2 2\n6 3\n4 5\n2 2\n", "output": "Chris\n" }, { "input": "20\n3 1\n1 4\n4 4\n1 5\n4 2\n3 6\n6 2\n1 6\n4 1\n1 4\n5 2\n3 4\n5 1\n1 6\n5 1\n2 6\n6 3\n2 5\n6 2\n2 4\n", "output": "Chris\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n1 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 2\n1 4\n", "output": "Mishka\n" }, { "input": "5\n1 4\n2 5\n3 4\n2 1\n3 8\n", "output": "Chris\n" }, { "input": "59\n4 1\n5 3\n6 1\n4 2\n5 1\n4 3\n6 1\n5 1\n4 3\n3 3\n5 2\n5 3\n4 1\n6 2\n5 1\n6 3\n6 3\n5 2\n5 2\n6 1\n4 1\n6 1\n4 3\n5 3\n5 3\n4 3\n4 2\n4 2\n6 3\n6 3\n6 1\n4 3\n5 1\n6 2\n6 1\n4 1\n6 1\n5 3\n4 2\n5 1\n6 2\n6 2\n4 3\n5 3\n4 3\n6 3\n5 2\n5 2\n4 3\n5 1\n5 3\n6 1\n6 3\n6 3\n4 4\n5 2\n5 2\n5 2\n4 3\n", "output": "Mishka\n" }, { "input": "93\n4 3\n4 1\n4 2\n5 2\n5 3\n6 3\n4 3\n6 2\n6 4\n5 1\n4 2\n4 2\n5 1\n6 2\n6 3\n6 1\n4 1\n6 2\n5 3\n4 3\n4 0\n4 2\n5 2\n6 3\n5 2\n5 2\n6 3\n5 1\n6 2\n5 2\n4 1\n5 2\n5 1\n4 1\n6 1\n5 2\n4 3\n5 3\n5 3\n5 1\n4 3\n4 3\n4 2\n4 1\n6 2\n6 1\n4 1\n5 2\n5 2\n6 2\n5 3\n5 1\n6 2\n5 1\n6 3\n5 2\n6 2\n6 2\n4 2\n5 2\n6 1\n6 3\n6 3\n5 1\n5 1\n4 1\n5 1\n4 3\n5 3\n6 3\n4 1\n4 3\n6 1\n6 1\n4 2\n6 2\n4 2\n5 2\n4 1\n5 2\n4 1\n5 1\n5 2\n5 1\n4 1\n6 3\n6 2\n4 3\n4 1\n5 2\n4 3\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "50\n3 6\n2 6\n1 4\n1 4\n1 4\n2 5\n3 4\n3 5\n2 6\n1 6\n3 5\n1 5\n2 6\n2 4\n2 4\n2 5\n1 6\n1 5\n1 5\n1 4\n3 5\n1 6\n3 5\n1 4\n1 5\n1 4\n3 6\n1 6\n0 4\n1 4\n1 4\n1 5\n3 6\n1 6\n1 6\n2 4\n1 5\n2 6\n2 5\n3 5\n3 6\n3 4\n2 4\n2 6\n3 4\n2 5\n3 6\n3 5\n2 4\n2 4\n", "output": "Chris\n" }, { "input": "8\n2 6\n3 6\n1 6\n1 6\n2 4\n5 4\n3 6\n3 4\n", "output": "Chris\n" }, { "input": "79\n5 3\n4 6\n3 6\n2 1\n5 2\n2 3\n4 4\n6 2\n2 5\n1 6\n6 6\n2 4\n3 3\n4 5\n6 2\n2 1\n1 5\n5 1\n2 1\n2 6\n5 3\n6 2\n2 6\n2 3\n1 5\n4 4\n6 4\n5 2\n3 2\n1 3\n1 3\n6 3\n2 6\n3 6\n5 3\n4 5\n6 1\n3 5\n3 5\n6 5\n1 5\n4 2\n6 2\n2 3\n4 6\n3 6\n2 5\n4 4\n1 1\n4 6\n2 6\n6 4\n3 2\n4 1\n1 2\n6 4\n5 6\n1 4\n2 2\n5 4\n3 2\n1 2\n2 4\n2 5\n2 1\n3 6\n3 3\n1 1\n2 2\n4 4\n4 5\n3 3\n5 3\n6 2\n4 5\n6 5\n2 5\n5 6\n2 2\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 2\n2 1\n2 1\n1 6\n1 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "70\n3 4\n2 3\n2 3\n6 5\n6 6\n4 3\n2 3\n3 1\n3 5\n5 6\n1 6\n2 5\n5 3\n2 5\n4 6\n5 1\n6 1\n3 1\n3 3\n5 3\n2 1\n3 3\n6 4\n6 3\n4 3\n4 5\n3 5\n5 5\n5 2\n1 6\n3 4\n5 2\n2 4\n1 6\n4 3\n4 3\n6 2\n1 3\n1 5\n6 1\n3 1\n1 1\n1 3\n2 2\n3 2\n6 4\n1 1\n4 4\n3 1\n4 3\n4 2\n6 3\n4 4\n3 2\n1 2\n2 6\n3 3\n1 5\n1 1\n6 5\n2 2\n3 1\n5 4\n5 2\n6 4\n6 3\n6 6\n6 3\n3 3\n5 3\n", "output": "Mishka\n" }, { "input": "92\n1 5\n2 4\n3 5\n1 6\n2 5\n1 6\n3 6\n1 6\n2 4\n3 6\n3 4\n3 6\n1 5\n2 5\n1 5\n1 5\n2 6\n2 4\n3 6\n1 4\n1 6\n2 6\n3 4\n2 6\n2 6\n1 4\n3 5\n2 5\n2 6\n1 5\n1 4\n1 5\n3 6\n3 5\n2 5\n1 5\n3 5\n3 6\n2 6\n4 6\n1 5\n3 4\n2 4\n3 6\n2 5\n1 5\n2 4\n1 4\n2 6\n2 6\n2 6\n1 5\n3 6\n3 6\n2 5\n1 4\n2 4\n3 4\n1 5\n2 5\n2 4\n2 5\n3 5\n3 4\n3 6\n2 6\n3 5\n1 4\n3 4\n1 6\n3 6\n2 6\n1 4\n3 6\n3 6\n2 5\n2 6\n1 6\n2 6\n3 5\n2 5\n3 6\n2 5\n2 6\n1 5\n2 4\n1 4\n2 4\n1 5\n2 5\n2 5\n2 6\n", "output": "Chris\n" }, { "input": "4\n2 1\n2 4\n5 3\n6 6\n", "output": "Mishka\n" }, { "input": "6\n6 2\n2 5\n5 2\n3 6\n4 6\n0 6\n", "output": "Chris\n" }, { "input": "100\n4 3\n3 4\n5 1\n2 5\n5 3\n1 5\n6 3\n2 4\n5 2\n2 6\n5 2\n1 5\n6 3\n1 5\n6 3\n3 4\n5 2\n1 5\n6 1\n1 5\n4 2\n3 5\n6 3\n2 6\n6 3\n1 4\n6 2\n3 4\n4 1\n3 6\n5 1\n2 4\n5 1\n3 4\n6 2\n3 5\n4 1\n2 6\n4 3\n2 6\n5 2\n3 6\n6 2\n3 5\n4 3\n1 5\n5 3\n3 6\n4 2\n3 4\n6 1\n3 4\n5 2\n2 6\n5 2\n2 4\n6 2\n3 6\n4 3\n2 4\n4 3\n2 6\n4 2\n3 4\n6 3\n2 4\n6 3\n3 5\n5 2\n1 5\n6 3\n3 6\n4 3\n1 4\n5 2\n1 6\n4 1\n2 5\n4 1\n2 4\n4 2\n2 5\n6 1\n2 4\n4 3\n1 5\n4 3\n2 6\n6 3\n2 6\n5 3\n1 5\n4 1\n1 5\n6 2\n2 5\n5 1\n3 6\n4 3\n3 7\n", "output": "Friendship is magic!^^\n" }, { "input": "10\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n2 0\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "81\n4 2\n1 2\n2 3\n4 5\n6 2\n1 6\n3 6\n3 4\n4 6\n4 4\n3 5\n4 6\n3 6\n3 5\n6 1\n1 3\n5 3\n3 4\n1 1\n4 1\n1 2\n6 1\n1 3\n6 5\n4 5\n4 2\n4 5\n6 2\n1 2\n2 6\n5 2\n1 5\n2 4\n4 3\n5 4\n1 2\n5 3\n2 6\n6 4\n1 1\n1 3\n3 1\n5 1\n6 5\n5 5\n6 1\n6 6\n5 2\n1 3\n1 4\n2 3\n5 5\n3 1\n3 1\n4 4\n1 6\n6 4\n2 2\n4 6\n4 4\n2 6\n2 4\n2 4\n4 1\n1 6\n1 4\n1 3\n6 5\n5 1\n1 3\n5 1\n1 4\n3 5\n2 6\n1 3\n5 6\n3 5\n4 4\n5 5\n5 6\n4 3\n", "output": "Chris\n" }, { "input": "9\n5 2\n4 1\n4 0\n5 1\n6 2\n6 2\n5 3\n6 1\n6 2\n", "output": "Mishka\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 9\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n5 2\n3 1\n6 1\n5 2\n4 2\n5 1\n", "output": "Mishka\n" }, { "input": "1\n2 1\n", "output": "Mishka\n" }, { "input": "8\n2 4\n1 4\n1 5\n2 6\n2 5\n2 5\n2 8\n2 10\n", "output": "Chris\n" }, { "input": "6\n4 3\n5 1\n6 3\n0 3\n4 3\n5 2\n", "output": "Mishka\n" }, { "input": "94\n2 4\n6 4\n1 6\n1 4\n5 1\n3 3\n4 3\n6 1\n6 5\n3 2\n2 3\n5 1\n5 3\n1 2\n4 3\n3 2\n3 3\n4 6\n2 3\n6 3\n1 1\n3 2\n4 3\n1 5\n4 6\n3 2\n6 3\n1 6\n1 1\n1 2\n3 5\n1 3\n3 5\n4 4\n4 2\n1 4\n4 5\n1 3\n1 2\n1 1\n5 4\n5 5\n6 1\n2 1\n2 6\n6 6\n4 2\n3 6\n1 6\n6 6\n1 5\n3 2\n1 2\n4 4\n6 4\n4 1\n1 5\n3 3\n1 3\n3 4\n4 4\n1 1\n2 5\n4 5\n3 1\n3 1\n3 6\n3 2\n1 4\n1 6\n6 3\n2 4\n1 1\n2 2\n2 2\n2 1\n5 4\n1 2\n6 6\n2 2\n3 3\n6 3\n6 3\n1 6\n2 3\n2 4\n2 3\n6 6\n2 6\n6 3\n3 5\n1 4\n1 1\n3 5\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 2\n2 1\n2 4\n", "output": "Mishka\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n3 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "84\n6 1\n6 3\n6 3\n4 1\n4 3\n4 2\n6 3\n5 3\n6 1\n6 3\n4 3\n5 2\n5 3\n5 1\n6 2\n6 2\n6 1\n4 1\n6 3\n5 2\n4 1\n5 3\n6 3\n4 2\n6 2\n6 3\n4 3\n4 1\n4 3\n5 1\n5 1\n5 1\n4 1\n9 1\n4 3\n6 2\n5 1\n5 1\n6 2\n5 2\n4 1\n6 1\n6 1\n6 3\n6 2\n4 3\n6 3\n6 2\n5 2\n5 1\n4 3\n6 2\n4 1\n6 2\n6 1\n5 2\n5 1\n6 2\n6 1\n5 3\n5 2\n6 1\n6 3\n5 2\n6 1\n6 3\n4 3\n5 1\n6 3\n6 1\n5 3\n4 3\n5 2\n5 1\n1 2\n5 3\n6 1\n5 1\n4 1\n5 1\n5 1\n5 2\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "6\n5 3\n0 6\n6 2\n1 6\n5 0\n3 5\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n6 2\n1 5\n6 2\n2 3\n5 5\n1 2\n3 4\n3 4\n6 5\n6 4\n2 5\n4 1\n1 2\n1 1\n1 4\n2 5\n5 6\n6 3\n2 4\n5 5\n2 6\n3 4\n5 1\n3 3\n5 5\n4 6\n4 6\n2 4\n4 1\n5 2\n2 2\n3 6\n3 3\n4 6\n1 1\n2 4\n6 5\n5 2\n6 5\n5 5\n2 5\n6 4\n1 1\n6 2\n3 6\n6 5\n4 4\n1 5\n5 6\n4 4\n3 5\n6 1\n3 4\n1 5\n4 6\n4 6\n4 1\n3 6\n6 0\n1 1\n4 5\n5 4\n5 3\n3 4\n6 4\n1 1\n5 2\n6 5\n6 1\n2 2\n2 4\n3 3\n4 6\n1 3\n6 6\n5 2\n1 3\n6 2\n6 6\n4 1\n3 6\n6 4\n2 3\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 0\n3 4\n5 0\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "76\n4 1\n5 2\n4 3\n5 2\n5 3\n5 2\n6 1\n4 2\n6 2\n5 3\n4 2\n6 2\n4 1\n4 2\n5 1\n5 1\n6 2\n5 2\n5 3\n6 3\n5 2\n4 3\n6 3\n6 1\n4 3\n6 2\n6 1\n4 1\n6 1\n5 3\n4 1\n5 3\n4 2\n5 2\n4 3\n6 1\n6 2\n5 2\n6 1\n7 3\n4 3\n5 1\n5 3\n4 3\n5 1\n0 1\n4 1\n4 1\n4 1\n4 3\n5 3\n6 3\n6 3\n5 2\n6 2\n6 3\n5 1\n6 3\n5 3\n6 1\n5 3\n4 1\n5 3\n6 1\n4 2\n6 2\n4 3\n4 1\n6 2\n4 3\n5 3\n5 2\n5 3\n5 1\n6 3\n5 2\n", "output": "Mishka\n" }, { "input": "7\n3 4\n1 3\n2 5\n1 1\n1 6\n1 5\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n0 4\n5 2\n3 6\n", "output": "Friendship is magic!^^\n" } ] }
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703_A. Mishka and Game
408
408_1572
Mishka is a little polar bear. As known, little bears loves spending their free time playing dice for chocolates. Once in a wonderful sunny morning, walking around blocks of ice, Mishka met her friend Chris, and they started playing the game. Rules of the game are very simple: at first number of rounds n is defined. In every round each of the players throws a cubical dice with distinct numbers from 1 to 6 written on its faces. Player, whose value after throwing the dice is greater, wins the round. In case if player dice values are equal, no one of them is a winner. In average, player, who won most of the rounds, is the winner of the game. In case if two players won the same number of rounds, the result of the game is draw. Mishka is still very little and can't count wins and losses, so she asked you to watch their game and determine its result. Please help her! Input The first line of the input contains single integer n n (1 ≤ n ≤ 100) — the number of game rounds. The next n lines contains rounds description. i-th of them contains pair of integers mi and ci (1 ≤ mi, ci ≤ 6) — values on dice upper face after Mishka's and Chris' throws in i-th round respectively. Output If Mishka is the winner of the game, print "Mishka" (without quotes) in the only line. If Chris is the winner of the game, print "Chris" (without quotes) in the only line. If the result of the game is draw, print "Friendship is magic!^^" (without quotes) in the only line. Examples Input 3 3 5 2 1 4 2 Output Mishka Input 2 6 1 1 6 Output Friendship is magic!^^ Input 3 1 5 3 3 2 2 Output Chris Note In the first sample case Mishka loses the first round, but wins second and third rounds and thus she is the winner of the game. In the second sample case Mishka wins the first round, Chris wins the second round, and the game ends with draw with score 1:1. In the third sample case Chris wins the first round, but there is no winner of the next two rounds. The winner of the game is Chris.
n=int(input()) h=k=0 for i in range(n): a,b=map(int,input().split()) if(a>b): h+=1 elif(a<b): k+=1 if(h>k): print("Mishka") elif(h==k): print("Friendship is magic!^^") else: print("Chris")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: N: int pairs_list: List[List[int]] @classmethod def from_str(cls, input_: str): lines = input_.split('\n') N = int(lines[0]) pairs_list = [list(map(int, line.split(' '))) for line in lines[1:-1]] assert len(pairs_list) == N return cls(N, pairs_list) def __repr__(self): return str(self.N) + '\n' + '\n'.join([' '.join(map(str, pair)) for pair in self.pairs_list]) + '\n'
2 6 1 1 6
O(n)
0.000006
{ "public_tests": [ { "input": "2\n6 1\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "3\n1 5\n3 3\n2 2\n", "output": "Chris\n" }, { "input": "3\n3 5\n2 1\n4 2\n", "output": "Mishka\n" } ], "private_tests": [ { "input": "55\n6 6\n6 5\n2 2\n2 2\n6 4\n5 5\n6 5\n5 3\n1 3\n2 2\n5 6\n3 3\n3 3\n6 5\n3 5\n5 5\n1 2\n1 1\n4 6\n1 2\n5 5\n6 2\n6 3\n1 2\n5 1\n1 3\n3 3\n4 4\n2 5\n1 1\n5 3\n4 3\n2 2\n4 5\n5 6\n4 5\n6 3\n1 6\n6 4\n3 6\n1 6\n5 2\n6 3\n2 3\n5 5\n4 3\n3 1\n4 2\n1 1\n2 5\n5 3\n2 2\n6 3\n4 5\n2 2\n", "output": "Mishka\n" }, { "input": "20\n5 1\n1 4\n4 3\n1 5\n4 2\n3 6\n6 2\n1 6\n4 1\n1 4\n5 2\n3 4\n5 1\n1 6\n5 1\n2 6\n6 3\n2 5\n6 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "5\n1 4\n2 5\n3 4\n2 6\n3 4\n", "output": "Chris\n" }, { "input": "59\n4 1\n5 3\n6 1\n4 2\n5 1\n4 3\n6 1\n5 1\n4 3\n4 3\n5 2\n5 3\n4 1\n6 2\n5 1\n6 3\n6 3\n5 2\n5 2\n6 1\n4 1\n6 1\n4 3\n5 3\n5 3\n4 3\n4 2\n4 2\n6 3\n6 3\n6 1\n4 3\n5 1\n6 2\n6 1\n4 1\n6 1\n5 3\n4 2\n5 1\n6 2\n6 2\n4 3\n5 3\n4 3\n6 3\n5 2\n5 2\n4 3\n5 1\n5 3\n6 1\n6 3\n6 3\n4 3\n5 2\n5 2\n5 2\n4 3\n", "output": "Mishka\n" }, { "input": "93\n4 3\n4 1\n4 2\n5 2\n5 3\n6 3\n4 3\n6 2\n6 3\n5 1\n4 2\n4 2\n5 1\n6 2\n6 3\n6 1\n4 1\n6 2\n5 3\n4 3\n4 1\n4 2\n5 2\n6 3\n5 2\n5 2\n6 3\n5 1\n6 2\n5 2\n4 1\n5 2\n5 1\n4 1\n6 1\n5 2\n4 3\n5 3\n5 3\n5 1\n4 3\n4 3\n4 2\n4 1\n6 2\n6 1\n4 1\n5 2\n5 2\n6 2\n5 3\n5 1\n6 2\n5 1\n6 3\n5 2\n6 2\n6 2\n4 2\n5 2\n6 1\n6 3\n6 3\n5 1\n5 1\n4 1\n5 1\n4 3\n5 3\n6 3\n4 1\n4 3\n6 1\n6 1\n4 2\n6 2\n4 2\n5 2\n4 1\n5 2\n4 1\n5 1\n5 2\n5 1\n4 1\n6 3\n6 2\n4 3\n4 1\n5 2\n4 3\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "50\n3 6\n2 6\n1 4\n1 4\n1 4\n2 5\n3 4\n3 5\n2 6\n1 6\n3 5\n1 5\n2 6\n2 4\n2 4\n3 5\n1 6\n1 5\n1 5\n1 4\n3 5\n1 6\n3 5\n1 4\n1 5\n1 4\n3 6\n1 6\n1 4\n1 4\n1 4\n1 5\n3 6\n1 6\n1 6\n2 4\n1 5\n2 6\n2 5\n3 5\n3 6\n3 4\n2 4\n2 6\n3 4\n2 5\n3 6\n3 5\n2 4\n2 4\n", "output": "Chris\n" }, { "input": "8\n2 4\n3 6\n1 6\n1 6\n2 4\n3 4\n3 6\n3 4\n", "output": "Chris\n" }, { "input": "79\n5 3\n4 6\n3 6\n2 1\n5 2\n2 3\n4 4\n6 2\n2 5\n1 6\n6 6\n2 6\n3 3\n4 5\n6 2\n2 1\n1 5\n5 1\n2 1\n2 6\n5 3\n6 2\n2 6\n2 3\n1 5\n4 4\n6 3\n5 2\n3 2\n1 3\n1 3\n6 3\n2 6\n3 6\n5 3\n4 5\n6 1\n3 5\n3 5\n6 5\n1 5\n4 2\n6 2\n2 3\n4 6\n3 6\n2 5\n4 4\n1 1\n4 6\n2 6\n6 4\n3 2\n4 1\n1 2\n6 4\n5 6\n1 4\n2 2\n5 4\n3 2\n1 2\n2 4\n2 5\n2 1\n3 6\n3 3\n1 1\n2 2\n4 4\n4 5\n3 3\n5 3\n6 2\n4 5\n6 5\n2 5\n5 6\n2 2\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "70\n3 4\n2 3\n2 3\n6 5\n6 6\n4 3\n2 3\n3 1\n3 5\n5 6\n1 6\n2 5\n5 3\n2 5\n4 6\n5 1\n6 1\n3 1\n3 3\n5 3\n2 1\n3 3\n6 4\n6 3\n4 3\n4 5\n3 5\n5 5\n5 2\n1 6\n3 4\n5 2\n2 4\n1 6\n4 3\n4 3\n6 2\n1 3\n1 5\n6 1\n3 1\n1 1\n1 3\n2 2\n3 2\n6 4\n1 1\n4 4\n3 1\n4 5\n4 2\n6 3\n4 4\n3 2\n1 2\n2 6\n3 3\n1 5\n1 1\n6 5\n2 2\n3 1\n5 4\n5 2\n6 4\n6 3\n6 6\n6 3\n3 3\n5 4\n", "output": "Mishka\n" }, { "input": "92\n1 5\n2 4\n3 5\n1 6\n2 5\n1 6\n3 6\n1 6\n2 4\n3 4\n3 4\n3 6\n1 5\n2 5\n1 5\n1 5\n2 6\n2 4\n3 6\n1 4\n1 6\n2 6\n3 4\n2 6\n2 6\n1 4\n3 5\n2 5\n2 6\n1 5\n1 4\n1 5\n3 6\n3 5\n2 5\n1 5\n3 5\n3 6\n2 6\n2 6\n1 5\n3 4\n2 4\n3 6\n2 5\n1 5\n2 4\n1 4\n2 6\n2 6\n2 6\n1 5\n3 6\n3 6\n2 5\n1 4\n2 4\n3 4\n1 5\n2 5\n2 4\n2 5\n3 5\n3 4\n3 6\n2 6\n3 5\n1 4\n3 4\n1 6\n3 6\n2 6\n1 4\n3 6\n3 6\n2 5\n2 6\n1 6\n2 6\n3 5\n2 5\n3 6\n2 5\n2 6\n1 5\n2 4\n1 4\n2 4\n1 5\n2 5\n2 5\n2 6\n", "output": "Chris\n" }, { "input": "44\n6 1\n1 6\n5 2\n1 4\n6 2\n2 5\n5 3\n3 6\n5 2\n1 6\n4 1\n2 4\n6 1\n3 4\n6 3\n3 6\n4 3\n2 4\n6 1\n3 4\n6 1\n1 6\n4 1\n3 5\n6 1\n3 6\n4 1\n1 4\n4 2\n2 6\n6 1\n2 4\n6 2\n1 4\n6 2\n2 4\n5 2\n3 6\n6 3\n2 6\n5 3\n3 4\n5 3\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "4\n4 1\n2 4\n5 3\n3 6\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n6 2\n2 5\n5 2\n3 6\n4 3\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "100\n4 3\n3 4\n5 1\n2 5\n5 3\n1 5\n6 3\n2 4\n5 2\n2 6\n5 2\n1 5\n6 3\n1 5\n6 3\n3 4\n5 2\n1 5\n6 1\n1 5\n4 2\n3 5\n6 3\n2 6\n6 3\n1 4\n6 2\n3 4\n4 1\n3 6\n5 1\n2 4\n5 1\n3 4\n6 2\n3 5\n4 1\n2 6\n4 3\n2 6\n5 2\n3 6\n6 2\n3 5\n4 3\n1 5\n5 3\n3 6\n4 2\n3 4\n6 1\n3 4\n5 2\n2 6\n5 2\n2 4\n6 2\n3 6\n4 3\n2 4\n4 3\n2 6\n4 2\n3 4\n6 3\n2 4\n6 3\n3 5\n5 2\n1 5\n6 3\n3 6\n4 3\n1 4\n5 2\n1 6\n4 1\n2 5\n4 1\n2 4\n4 2\n2 5\n6 1\n2 4\n6 3\n1 5\n4 3\n2 6\n6 3\n2 6\n5 3\n1 5\n4 1\n1 5\n6 2\n2 5\n5 1\n3 6\n4 3\n3 4\n", "output": "Friendship is magic!^^\n" }, { "input": "10\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "81\n4 2\n1 2\n2 3\n4 5\n6 2\n1 6\n3 6\n3 4\n4 6\n4 4\n3 5\n4 6\n3 6\n3 5\n3 1\n1 3\n5 3\n3 4\n1 1\n4 1\n1 2\n6 1\n1 3\n6 5\n4 5\n4 2\n4 5\n6 2\n1 2\n2 6\n5 2\n1 5\n2 4\n4 3\n5 4\n1 2\n5 3\n2 6\n6 4\n1 1\n1 3\n3 1\n3 1\n6 5\n5 5\n6 1\n6 6\n5 2\n1 3\n1 4\n2 3\n5 5\n3 1\n3 1\n4 4\n1 6\n6 4\n2 2\n4 6\n4 4\n2 6\n2 4\n2 4\n4 1\n1 6\n1 4\n1 3\n6 5\n5 1\n1 3\n5 1\n1 4\n3 5\n2 6\n1 3\n5 6\n3 5\n4 4\n5 5\n5 6\n4 3\n", "output": "Chris\n" }, { "input": "9\n5 2\n4 1\n4 1\n5 1\n6 2\n6 1\n5 3\n6 1\n6 2\n", "output": "Mishka\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "6\n5 2\n5 1\n6 1\n5 2\n4 2\n5 1\n", "output": "Mishka\n" }, { "input": "1\n1 1\n", "output": "Friendship is magic!^^\n" }, { "input": "8\n2 4\n1 4\n1 5\n2 6\n2 5\n2 5\n2 4\n2 5\n", "output": "Chris\n" }, { "input": "6\n6 3\n5 1\n6 3\n4 3\n4 3\n5 2\n", "output": "Mishka\n" }, { "input": "94\n2 4\n6 4\n1 6\n1 4\n5 1\n3 3\n4 3\n6 1\n6 5\n3 2\n2 3\n5 1\n5 3\n1 2\n4 3\n3 2\n2 3\n4 6\n1 3\n6 3\n1 1\n3 2\n4 3\n1 5\n4 6\n3 2\n6 3\n1 6\n1 1\n1 2\n3 5\n1 3\n3 5\n4 4\n4 2\n1 4\n4 5\n1 3\n1 2\n1 1\n5 4\n5 5\n6 1\n2 1\n2 6\n6 6\n4 2\n3 6\n1 6\n6 6\n1 5\n3 2\n1 2\n4 4\n6 4\n4 1\n1 5\n3 3\n1 3\n3 4\n4 4\n1 1\n2 5\n4 5\n3 1\n3 1\n3 6\n3 2\n1 4\n1 6\n6 3\n2 4\n1 1\n2 2\n2 2\n2 1\n5 4\n1 2\n6 6\n2 2\n3 3\n6 3\n6 3\n1 6\n2 3\n2 4\n2 3\n6 6\n2 6\n6 3\n3 5\n1 4\n1 1\n3 5\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "84\n6 1\n6 3\n6 3\n4 1\n4 3\n4 2\n6 3\n5 3\n6 1\n6 3\n4 3\n5 2\n5 3\n5 1\n6 2\n6 2\n6 1\n4 1\n6 3\n5 2\n4 1\n5 3\n6 3\n4 2\n6 2\n6 3\n4 3\n4 1\n4 3\n5 1\n5 1\n5 1\n4 1\n6 1\n4 3\n6 2\n5 1\n5 1\n6 2\n5 2\n4 1\n6 1\n6 1\n6 3\n6 2\n4 3\n6 3\n6 2\n5 2\n5 1\n4 3\n6 2\n4 1\n6 2\n6 1\n5 2\n5 1\n6 2\n6 1\n5 3\n5 2\n6 1\n6 3\n5 2\n6 1\n6 3\n4 3\n5 1\n6 3\n6 1\n5 3\n4 3\n5 2\n5 1\n6 2\n5 3\n6 1\n5 1\n4 1\n5 1\n5 1\n5 2\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "6\n5 3\n3 6\n6 2\n1 6\n5 1\n3 5\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n6 2\n1 5\n6 2\n2 3\n5 5\n1 2\n3 4\n3 4\n6 5\n6 4\n2 5\n4 1\n1 2\n1 1\n1 4\n2 5\n5 6\n6 3\n2 4\n5 5\n2 6\n3 4\n5 1\n3 3\n5 5\n4 6\n4 6\n2 4\n4 1\n5 2\n2 2\n3 6\n3 3\n4 6\n1 1\n2 4\n6 5\n5 2\n6 5\n5 5\n2 5\n6 4\n1 1\n6 2\n3 6\n6 5\n4 4\n1 5\n5 6\n4 4\n3 5\n6 1\n3 4\n1 5\n4 6\n4 6\n4 1\n3 6\n6 2\n1 1\n4 5\n5 4\n5 3\n3 4\n6 4\n1 1\n5 2\n6 5\n6 1\n2 2\n2 4\n3 3\n4 6\n1 3\n6 6\n5 2\n1 6\n6 2\n6 6\n4 1\n3 6\n6 4\n2 3\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n3 4\n5 1\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "76\n4 1\n5 2\n4 3\n5 2\n5 3\n5 2\n6 1\n4 2\n6 2\n5 3\n4 2\n6 2\n4 1\n4 2\n5 1\n5 1\n6 2\n5 2\n5 3\n6 3\n5 2\n4 3\n6 3\n6 1\n4 3\n6 2\n6 1\n4 1\n6 1\n5 3\n4 1\n5 3\n4 2\n5 2\n4 3\n6 1\n6 2\n5 2\n6 1\n5 3\n4 3\n5 1\n5 3\n4 3\n5 1\n5 1\n4 1\n4 1\n4 1\n4 3\n5 3\n6 3\n6 3\n5 2\n6 2\n6 3\n5 1\n6 3\n5 3\n6 1\n5 3\n4 1\n5 3\n6 1\n4 2\n6 2\n4 3\n4 1\n6 2\n4 3\n5 3\n5 2\n5 3\n5 1\n6 3\n5 2\n", "output": "Mishka\n" }, { "input": "7\n3 4\n1 4\n2 5\n1 6\n1 6\n1 5\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n2 4\n4 2\n3 6\n", "output": "Friendship is magic!^^\n" }, { "input": "42\n5 3\n5 1\n5 2\n4 1\n6 3\n6 1\n6 2\n4 1\n4 3\n4 1\n5 1\n5 3\n5 1\n4 1\n4 2\n6 1\n6 3\n5 1\n4 1\n4 1\n6 3\n4 3\n6 3\n5 2\n6 1\n4 1\n5 3\n4 3\n5 2\n6 3\n6 1\n5 1\n4 2\n4 3\n5 2\n5 3\n6 3\n5 2\n5 1\n5 3\n6 2\n6 1\n", "output": "Mishka\n" }, { "input": "100\n6 3\n4 5\n4 3\n5 4\n5 1\n6 3\n4 2\n4 6\n3 1\n2 4\n2 2\n4 6\n5 3\n5 5\n4 2\n6 2\n2 3\n4 4\n6 4\n3 5\n2 4\n2 2\n5 2\n3 5\n2 4\n4 4\n3 5\n6 5\n1 3\n1 6\n2 2\n2 4\n3 2\n5 4\n1 6\n3 4\n4 1\n1 5\n1 4\n5 3\n2 2\n4 5\n6 3\n4 4\n1 1\n4 1\n2 4\n4 1\n4 5\n5 3\n1 1\n1 6\n5 6\n6 6\n4 2\n4 3\n3 4\n3 6\n3 4\n6 5\n3 4\n5 4\n5 1\n5 3\n5 1\n1 2\n2 6\n3 4\n6 5\n4 3\n1 1\n5 5\n5 1\n3 3\n5 2\n1 3\n6 6\n5 6\n1 4\n4 4\n1 4\n3 6\n6 5\n3 3\n3 6\n1 5\n1 2\n3 6\n3 6\n4 1\n5 2\n1 2\n5 2\n3 3\n4 4\n4 2\n6 2\n5 4\n6 1\n6 3\n", "output": "Mishka\n" }, { "input": "78\n4 3\n3 5\n4 3\n1 5\n5 1\n1 5\n4 3\n1 4\n6 3\n1 5\n4 1\n2 4\n4 3\n2 4\n5 1\n3 6\n4 2\n3 6\n6 3\n3 4\n4 3\n3 6\n5 3\n1 5\n4 1\n2 6\n4 2\n2 4\n4 1\n3 5\n5 2\n3 6\n4 3\n2 4\n6 3\n1 6\n4 3\n3 5\n6 3\n2 6\n4 1\n2 4\n6 2\n1 6\n4 2\n1 4\n4 3\n1 4\n4 3\n2 4\n6 2\n3 5\n6 1\n3 6\n5 3\n1 6\n6 1\n2 6\n4 2\n1 5\n6 2\n2 6\n6 3\n2 4\n4 2\n3 5\n6 1\n2 5\n5 3\n2 6\n5 1\n3 6\n4 3\n3 6\n6 3\n2 5\n6 1\n2 6\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n3 6\n3 4\n2 5\n2 4\n1 6\n3 4\n1 5\n1 6\n3 5\n1 6\n2 4\n2 6\n2 6\n2 4\n3 5\n1 5\n3 6\n3 6\n3 4\n3 4\n2 6\n1 6\n1 6\n3 5\n3 4\n1 6\n3 4\n3 5\n2 4\n2 5\n2 5\n3 5\n1 6\n3 4\n2 6\n2 6\n3 4\n3 4\n2 5\n2 5\n2 4\n3 4\n2 5\n3 4\n3 4\n2 6\n2 6\n1 6\n2 4\n1 5\n3 4\n2 5\n2 5\n3 4\n2 4\n2 6\n2 6\n1 4\n3 5\n3 5\n2 4\n2 5\n3 4\n1 5\n1 5\n2 6\n1 5\n3 5\n2 4\n2 5\n3 4\n2 6\n1 6\n2 5\n3 5\n3 5\n3 4\n2 5\n2 6\n3 4\n1 6\n2 5\n2 6\n1 4\n", "output": "Chris\n" }, { "input": "67\n6 5\n3 6\n1 6\n5 3\n5 4\n5 1\n1 6\n1 1\n3 2\n4 4\n3 1\n4 1\n1 5\n5 3\n3 3\n6 4\n2 4\n2 2\n4 3\n1 4\n1 4\n6 1\n1 2\n2 2\n5 1\n6 2\n3 5\n5 5\n2 2\n6 5\n6 2\n4 4\n3 1\n4 2\n6 6\n6 4\n5 1\n2 2\n4 5\n5 5\n4 6\n1 5\n6 3\n4 4\n1 5\n6 4\n3 6\n3 4\n1 6\n2 4\n2 1\n2 5\n6 5\n6 4\n4 1\n3 2\n1 2\n5 1\n5 6\n1 5\n3 5\n3 1\n5 3\n3 2\n5 1\n4 6\n6 6\n", "output": "Mishka\n" }, { "input": "8\n6 1\n5 3\n4 3\n4 1\n5 1\n4 2\n4 2\n4 1\n", "output": "Mishka\n" }, { "input": "70\n6 1\n3 6\n4 3\n2 5\n5 2\n1 4\n6 2\n1 6\n4 3\n1 4\n5 3\n2 4\n5 3\n1 6\n5 1\n3 5\n4 2\n2 4\n5 1\n3 5\n6 2\n1 5\n4 2\n2 5\n5 3\n1 5\n4 2\n1 4\n5 2\n2 6\n4 3\n1 5\n6 2\n3 4\n4 2\n3 5\n6 3\n3 4\n5 1\n1 4\n4 2\n1 4\n6 3\n2 6\n5 2\n1 6\n6 1\n2 6\n5 3\n1 5\n5 1\n1 6\n4 1\n1 5\n4 2\n2 4\n5 1\n2 5\n6 3\n1 4\n6 3\n3 6\n5 1\n1 4\n5 3\n3 5\n4 2\n3 4\n6 2\n1 4\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n4 1\n4 2\n5 3\n5 1\n5 3\n4 1\n", "output": "Mishka\n" }, { "input": "8\n4 1\n2 6\n4 2\n2 5\n5 2\n3 5\n5 2\n1 5\n", "output": "Friendship is magic!^^\n" }, { "input": "5\n3 6\n3 5\n3 5\n1 6\n3 5\n", "output": "Chris\n" }, { "input": "65\n1 1\n5 1\n2 2\n5 4\n4 5\n2 5\n3 2\n5 6\n6 3\n1 1\n6 1\n1 5\n1 1\n5 2\n6 4\n1 6\n1 1\n4 3\n2 3\n5 6\n4 4\n6 2\n1 3\n4 3\n1 3\n6 3\n3 5\n4 2\n4 1\n6 1\n3 2\n2 6\n3 2\n3 5\n6 3\n4 3\n1 5\n2 6\n1 3\n4 1\n4 1\n2 5\n2 5\n6 2\n5 3\n3 1\n3 3\n5 1\n2 4\n5 3\n3 3\n1 1\n6 3\n3 3\n5 1\n1 6\n4 5\n6 6\n5 5\n2 5\n4 1\n2 2\n1 4\n1 6\n6 5\n", "output": "Mishka\n" }, { "input": "100\n4 3\n4 3\n4 2\n4 3\n4 1\n4 3\n5 2\n5 2\n6 2\n4 2\n5 1\n4 2\n5 2\n6 1\n4 1\n6 3\n5 3\n5 1\n5 1\n5 1\n5 3\n6 1\n6 1\n4 1\n5 2\n5 2\n6 1\n6 3\n4 2\n4 1\n5 3\n4 1\n5 3\n5 1\n6 3\n6 3\n6 1\n5 2\n5 3\n5 3\n6 1\n4 1\n6 2\n6 1\n6 2\n6 3\n4 3\n4 3\n6 3\n4 2\n4 2\n5 3\n5 2\n5 2\n4 3\n5 3\n5 2\n4 2\n5 1\n4 2\n5 1\n5 3\n6 3\n5 3\n5 3\n4 2\n4 1\n4 2\n4 3\n6 3\n4 3\n6 2\n6 1\n5 3\n5 2\n4 1\n6 1\n5 2\n6 2\n4 2\n6 3\n4 3\n5 1\n6 3\n5 2\n4 3\n5 3\n5 3\n4 3\n6 3\n4 3\n4 1\n5 1\n6 2\n6 3\n5 3\n6 1\n6 3\n5 3\n6 1\n", "output": "Mishka\n" }, { "input": "100\n4 1\n3 4\n4 6\n4 5\n6 5\n5 3\n6 2\n6 3\n5 2\n4 5\n1 5\n5 4\n1 4\n4 5\n4 6\n1 6\n4 4\n5 1\n6 4\n6 4\n4 6\n2 3\n6 2\n4 6\n1 4\n2 3\n4 3\n1 3\n6 2\n3 1\n3 4\n2 6\n4 5\n5 4\n2 2\n2 5\n4 1\n2 2\n3 3\n1 4\n5 6\n6 4\n4 2\n6 1\n5 5\n4 1\n2 1\n6 4\n4 4\n4 3\n5 3\n4 5\n5 3\n3 5\n6 3\n1 1\n3 4\n6 3\n6 1\n5 1\n2 4\n4 3\n2 2\n5 5\n1 5\n5 3\n4 6\n1 4\n6 3\n4 3\n2 4\n3 2\n2 4\n3 4\n6 2\n5 6\n1 2\n1 5\n5 5\n2 6\n5 1\n1 6\n5 3\n3 5\n2 6\n4 6\n6 2\n3 1\n5 5\n6 1\n3 6\n4 4\n1 1\n4 6\n5 3\n4 2\n5 1\n3 3\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "42\n1 5\n1 6\n1 6\n1 4\n2 5\n3 6\n1 6\n3 4\n2 5\n2 5\n2 4\n1 4\n3 4\n2 4\n2 6\n1 5\n3 6\n2 6\n2 6\n3 5\n1 4\n1 5\n2 6\n3 6\n1 4\n3 4\n2 4\n1 6\n3 4\n2 4\n2 6\n1 6\n1 4\n1 6\n1 6\n2 4\n1 5\n1 6\n2 5\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "8\n4 1\n6 2\n4 1\n5 3\n4 1\n5 3\n6 2\n5 3\n", "output": "Mishka\n" }, { "input": "86\n6 3\n2 4\n6 3\n3 5\n6 3\n1 5\n5 2\n2 4\n4 3\n2 6\n4 1\n2 6\n5 2\n1 4\n5 1\n2 4\n4 1\n1 4\n6 2\n3 5\n4 2\n2 4\n6 2\n1 5\n5 3\n2 5\n5 1\n1 6\n6 1\n1 4\n4 3\n3 4\n5 2\n2 4\n5 3\n2 5\n4 3\n3 4\n4 1\n1 5\n6 3\n3 4\n4 3\n3 4\n4 1\n3 4\n5 1\n1 6\n4 2\n1 6\n5 1\n2 4\n5 1\n3 6\n4 1\n1 5\n5 2\n1 4\n4 3\n2 5\n5 1\n1 5\n6 2\n2 6\n4 2\n2 4\n4 1\n2 5\n5 3\n3 4\n5 1\n3 4\n6 3\n3 4\n4 3\n2 6\n6 2\n2 5\n5 2\n3 5\n4 2\n3 6\n6 2\n3 4\n4 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "9\n2 5\n2 5\n1 4\n2 6\n2 4\n2 5\n2 6\n1 5\n2 5\n", "output": "Chris\n" }, { "input": "11\n1 6\n1 6\n2 4\n2 5\n3 4\n1 5\n1 6\n1 5\n1 6\n2 6\n3 4\n", "output": "Chris\n" }, { "input": "56\n6 4\n3 4\n6 1\n3 3\n1 4\n2 3\n1 5\n2 5\n1 5\n5 5\n2 3\n1 1\n3 2\n3 5\n4 6\n4 4\n5 2\n4 3\n3 1\n3 6\n2 3\n3 4\n5 6\n5 2\n5 6\n1 5\n1 5\n4 1\n6 3\n2 2\n2 1\n5 5\n2 1\n4 1\n5 4\n2 5\n4 1\n6 2\n3 4\n4 2\n6 4\n5 4\n4 2\n4 3\n6 2\n6 2\n3 1\n1 4\n3 6\n5 1\n5 5\n3 6\n6 4\n2 3\n6 5\n3 3\n", "output": "Mishka\n" }, { "input": "100\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "92\n2 3\n1 3\n2 6\n5 1\n5 5\n3 2\n5 6\n2 5\n3 1\n3 6\n4 5\n2 5\n1 2\n2 3\n6 5\n3 6\n4 4\n6 2\n4 5\n4 4\n5 1\n6 1\n3 4\n3 5\n6 6\n3 2\n6 4\n2 2\n3 5\n6 4\n6 3\n6 6\n3 4\n3 3\n6 1\n5 4\n6 2\n2 6\n5 6\n1 4\n4 6\n6 3\n3 1\n4 1\n6 6\n3 5\n6 3\n6 1\n1 6\n3 2\n6 6\n4 3\n3 4\n1 3\n3 5\n5 3\n6 5\n4 3\n5 5\n4 1\n1 5\n6 4\n2 3\n2 3\n1 5\n1 2\n5 2\n4 3\n3 6\n5 5\n5 4\n1 4\n3 3\n1 6\n5 6\n5 4\n5 3\n1 1\n6 2\n5 5\n2 5\n4 3\n6 6\n5 1\n1 1\n4 6\n4 6\n3 1\n6 4\n2 4\n2 2\n2 1\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "99\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "100\n2 4\n6 6\n3 2\n1 5\n5 2\n1 5\n1 5\n3 1\n6 5\n4 3\n1 1\n5 1\n3 3\n2 4\n1 5\n3 4\n5 1\n5 5\n2 5\n2 1\n4 3\n6 5\n1 1\n2 1\n1 3\n1 1\n6 4\n4 6\n6 4\n2 1\n2 5\n6 2\n3 4\n5 5\n1 4\n4 6\n3 4\n1 6\n5 1\n4 3\n3 4\n2 2\n1 2\n2 3\n1 3\n4 4\n5 5\n4 5\n4 4\n3 1\n4 5\n2 3\n2 6\n6 5\n6 1\n6 6\n2 3\n6 4\n3 3\n2 5\n4 4\n3 1\n2 4\n6 1\n3 2\n1 3\n5 4\n6 6\n2 5\n5 1\n1 1\n2 5\n6 5\n3 6\n5 6\n4 3\n3 4\n3 4\n6 5\n5 2\n4 2\n1 1\n3 1\n2 6\n1 6\n1 2\n6 1\n3 4\n1 6\n3 1\n5 3\n1 3\n5 6\n2 1\n6 4\n3 1\n1 6\n6 3\n3 3\n4 3\n", "output": "Chris\n" }, { "input": "9\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "100\n1 5\n1 4\n1 5\n2 4\n2 6\n3 6\n3 5\n1 5\n2 5\n3 6\n3 5\n1 6\n1 4\n1 5\n1 6\n2 6\n1 5\n3 5\n3 4\n2 6\n2 6\n2 5\n3 4\n1 6\n1 4\n2 4\n1 5\n1 6\n3 5\n1 6\n2 6\n3 5\n1 6\n3 4\n3 5\n1 6\n3 6\n2 4\n2 4\n3 5\n2 6\n1 5\n3 5\n3 6\n2 4\n2 4\n2 6\n3 4\n3 4\n1 5\n1 4\n2 5\n3 4\n1 4\n2 6\n2 5\n2 4\n2 4\n2 5\n1 5\n1 6\n1 5\n1 5\n1 5\n1 6\n3 4\n2 4\n3 5\n3 5\n1 6\n3 5\n1 5\n1 6\n3 6\n3 4\n1 5\n3 5\n3 6\n1 4\n3 6\n1 5\n3 5\n3 6\n3 5\n1 4\n3 4\n2 4\n2 4\n2 5\n3 6\n3 5\n1 5\n2 4\n1 4\n3 4\n1 5\n3 4\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n1 3\n", "output": "Mishka\n" } ], "generated_tests": [ { "input": "55\n6 6\n4 5\n2 2\n2 2\n6 4\n5 5\n6 5\n5 3\n1 3\n2 2\n5 6\n3 3\n3 3\n6 5\n3 5\n5 5\n1 2\n1 1\n4 6\n1 2\n5 5\n6 2\n6 3\n1 2\n5 1\n1 3\n3 3\n4 4\n2 5\n1 1\n5 3\n4 3\n2 2\n4 5\n5 6\n4 5\n6 3\n1 6\n6 4\n3 6\n1 6\n5 2\n6 3\n2 3\n5 5\n4 3\n3 1\n4 2\n1 1\n2 5\n5 3\n2 2\n6 3\n4 5\n2 2\n", "output": "Chris\n" }, { "input": "20\n3 1\n1 4\n4 3\n1 5\n4 2\n3 6\n6 2\n1 6\n4 1\n1 4\n5 2\n3 4\n5 1\n1 6\n5 1\n2 6\n6 3\n2 5\n6 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 2\n1 4\n", "output": "Mishka\n" }, { "input": "5\n1 4\n2 5\n3 4\n2 6\n3 8\n", "output": "Chris\n" }, { "input": "59\n4 1\n5 3\n6 1\n4 2\n5 1\n4 3\n6 1\n5 1\n4 3\n4 3\n5 2\n5 3\n4 1\n6 2\n5 1\n6 3\n6 3\n5 2\n5 2\n6 1\n4 1\n6 1\n4 3\n5 3\n5 3\n4 3\n4 2\n4 2\n6 3\n6 3\n6 1\n4 3\n5 1\n6 2\n6 1\n4 1\n6 1\n5 3\n4 2\n5 1\n6 2\n6 2\n4 3\n5 3\n4 3\n6 3\n5 2\n5 2\n4 3\n5 1\n5 3\n6 1\n6 3\n6 3\n4 4\n5 2\n5 2\n5 2\n4 3\n", "output": "Mishka\n" }, { "input": "93\n4 3\n4 1\n4 2\n5 2\n5 3\n6 3\n4 3\n6 2\n6 3\n5 1\n4 2\n4 2\n5 1\n6 2\n6 3\n6 1\n4 1\n6 2\n5 3\n4 3\n4 0\n4 2\n5 2\n6 3\n5 2\n5 2\n6 3\n5 1\n6 2\n5 2\n4 1\n5 2\n5 1\n4 1\n6 1\n5 2\n4 3\n5 3\n5 3\n5 1\n4 3\n4 3\n4 2\n4 1\n6 2\n6 1\n4 1\n5 2\n5 2\n6 2\n5 3\n5 1\n6 2\n5 1\n6 3\n5 2\n6 2\n6 2\n4 2\n5 2\n6 1\n6 3\n6 3\n5 1\n5 1\n4 1\n5 1\n4 3\n5 3\n6 3\n4 1\n4 3\n6 1\n6 1\n4 2\n6 2\n4 2\n5 2\n4 1\n5 2\n4 1\n5 1\n5 2\n5 1\n4 1\n6 3\n6 2\n4 3\n4 1\n5 2\n4 3\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "50\n3 6\n2 6\n1 4\n1 4\n1 4\n2 5\n3 4\n3 5\n2 6\n1 6\n3 5\n1 5\n2 6\n2 4\n2 4\n3 5\n1 6\n1 5\n1 5\n1 4\n3 5\n1 6\n3 5\n1 4\n1 5\n1 4\n3 6\n1 6\n0 4\n1 4\n1 4\n1 5\n3 6\n1 6\n1 6\n2 4\n1 5\n2 6\n2 5\n3 5\n3 6\n3 4\n2 4\n2 6\n3 4\n2 5\n3 6\n3 5\n2 4\n2 4\n", "output": "Chris\n" }, { "input": "8\n2 6\n3 6\n1 6\n1 6\n2 4\n3 4\n3 6\n3 4\n", "output": "Chris\n" }, { "input": "79\n5 3\n4 6\n3 6\n2 1\n5 2\n2 3\n4 4\n6 2\n2 5\n1 6\n6 6\n2 4\n3 3\n4 5\n6 2\n2 1\n1 5\n5 1\n2 1\n2 6\n5 3\n6 2\n2 6\n2 3\n1 5\n4 4\n6 3\n5 2\n3 2\n1 3\n1 3\n6 3\n2 6\n3 6\n5 3\n4 5\n6 1\n3 5\n3 5\n6 5\n1 5\n4 2\n6 2\n2 3\n4 6\n3 6\n2 5\n4 4\n1 1\n4 6\n2 6\n6 4\n3 2\n4 1\n1 2\n6 4\n5 6\n1 4\n2 2\n5 4\n3 2\n1 2\n2 4\n2 5\n2 1\n3 6\n3 3\n1 1\n2 2\n4 4\n4 5\n3 3\n5 3\n6 2\n4 5\n6 5\n2 5\n5 6\n2 2\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "70\n3 4\n2 3\n2 3\n6 5\n6 6\n4 3\n2 3\n3 1\n3 5\n5 6\n1 6\n2 5\n5 3\n2 5\n4 6\n5 1\n6 1\n3 1\n3 3\n5 3\n2 1\n3 3\n6 4\n6 3\n4 3\n4 5\n3 5\n5 5\n5 2\n1 6\n3 4\n5 2\n2 4\n1 6\n4 3\n4 3\n6 2\n1 3\n1 5\n6 1\n3 1\n1 1\n1 3\n2 2\n3 2\n6 4\n1 1\n4 4\n3 1\n4 3\n4 2\n6 3\n4 4\n3 2\n1 2\n2 6\n3 3\n1 5\n1 1\n6 5\n2 2\n3 1\n5 4\n5 2\n6 4\n6 3\n6 6\n6 3\n3 3\n5 4\n", "output": "Mishka\n" }, { "input": "92\n1 5\n2 4\n3 5\n1 6\n2 5\n1 6\n3 6\n1 6\n2 4\n3 6\n3 4\n3 6\n1 5\n2 5\n1 5\n1 5\n2 6\n2 4\n3 6\n1 4\n1 6\n2 6\n3 4\n2 6\n2 6\n1 4\n3 5\n2 5\n2 6\n1 5\n1 4\n1 5\n3 6\n3 5\n2 5\n1 5\n3 5\n3 6\n2 6\n2 6\n1 5\n3 4\n2 4\n3 6\n2 5\n1 5\n2 4\n1 4\n2 6\n2 6\n2 6\n1 5\n3 6\n3 6\n2 5\n1 4\n2 4\n3 4\n1 5\n2 5\n2 4\n2 5\n3 5\n3 4\n3 6\n2 6\n3 5\n1 4\n3 4\n1 6\n3 6\n2 6\n1 4\n3 6\n3 6\n2 5\n2 6\n1 6\n2 6\n3 5\n2 5\n3 6\n2 5\n2 6\n1 5\n2 4\n1 4\n2 4\n1 5\n2 5\n2 5\n2 6\n", "output": "Chris\n" }, { "input": "44\n6 1\n1 6\n5 2\n1 4\n6 2\n2 5\n5 3\n3 6\n5 2\n1 6\n4 1\n2 4\n6 1\n3 4\n6 3\n3 6\n4 3\n2 4\n6 1\n3 4\n6 1\n1 6\n4 1\n3 5\n6 1\n3 6\n4 1\n1 4\n4 2\n2 6\n6 0\n2 4\n6 2\n1 4\n6 2\n2 4\n5 2\n3 6\n6 3\n2 6\n5 3\n3 4\n5 3\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "4\n4 1\n2 4\n5 3\n6 6\n", "output": "Mishka\n" }, { "input": "6\n6 2\n2 5\n5 2\n3 6\n4 6\n1 6\n", "output": "Chris\n" }, { "input": "100\n4 3\n3 4\n5 1\n2 5\n5 3\n1 5\n6 3\n2 4\n5 2\n2 6\n5 2\n1 5\n6 3\n1 5\n6 3\n3 4\n5 2\n1 5\n6 1\n1 5\n4 2\n3 5\n6 3\n2 6\n6 3\n1 4\n6 2\n3 4\n4 1\n3 6\n5 1\n2 4\n5 1\n3 4\n6 2\n3 5\n4 1\n2 6\n4 3\n2 6\n5 2\n3 6\n6 2\n3 5\n4 3\n1 5\n5 3\n3 6\n4 2\n3 4\n6 1\n3 4\n5 2\n2 6\n5 2\n2 4\n6 2\n3 6\n4 3\n2 4\n4 3\n2 6\n4 2\n3 4\n6 3\n2 4\n6 3\n3 5\n5 2\n1 5\n6 3\n3 6\n4 3\n1 4\n5 2\n1 6\n4 1\n2 5\n4 1\n2 4\n4 2\n2 5\n6 1\n2 4\n6 3\n1 5\n4 3\n2 6\n6 3\n2 6\n5 3\n1 5\n4 1\n1 5\n6 2\n2 5\n5 1\n3 6\n4 3\n3 7\n", "output": "Friendship is magic!^^\n" }, { "input": "10\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n6 0\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "81\n4 2\n1 2\n2 3\n4 5\n6 2\n1 6\n3 6\n3 4\n4 6\n4 4\n3 5\n4 6\n3 6\n3 5\n3 1\n1 3\n5 3\n3 4\n1 1\n4 1\n1 2\n6 1\n1 3\n6 5\n4 5\n4 2\n4 5\n6 2\n1 2\n2 6\n5 2\n1 5\n2 4\n4 3\n5 4\n1 2\n5 3\n2 6\n6 4\n1 1\n1 3\n3 1\n5 1\n6 5\n5 5\n6 1\n6 6\n5 2\n1 3\n1 4\n2 3\n5 5\n3 1\n3 1\n4 4\n1 6\n6 4\n2 2\n4 6\n4 4\n2 6\n2 4\n2 4\n4 1\n1 6\n1 4\n1 3\n6 5\n5 1\n1 3\n5 1\n1 4\n3 5\n2 6\n1 3\n5 6\n3 5\n4 4\n5 5\n5 6\n4 3\n", "output": "Chris\n" }, { "input": "9\n5 2\n4 1\n4 0\n5 1\n6 2\n6 1\n5 3\n6 1\n6 2\n", "output": "Mishka\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n5 2\n2 1\n6 1\n5 2\n4 2\n5 1\n", "output": "Mishka\n" }, { "input": "1\n1 0\n", "output": "Mishka\n" }, { "input": "8\n2 4\n1 4\n1 5\n2 6\n2 5\n2 5\n2 4\n2 10\n", "output": "Chris\n" }, { "input": "6\n4 3\n5 1\n6 3\n4 3\n4 3\n5 2\n", "output": "Mishka\n" }, { "input": "94\n2 4\n6 4\n1 6\n1 4\n5 1\n3 3\n4 3\n6 1\n6 5\n3 2\n2 3\n5 1\n5 3\n1 2\n4 3\n3 2\n3 3\n4 6\n1 3\n6 3\n1 1\n3 2\n4 3\n1 5\n4 6\n3 2\n6 3\n1 6\n1 1\n1 2\n3 5\n1 3\n3 5\n4 4\n4 2\n1 4\n4 5\n1 3\n1 2\n1 1\n5 4\n5 5\n6 1\n2 1\n2 6\n6 6\n4 2\n3 6\n1 6\n6 6\n1 5\n3 2\n1 2\n4 4\n6 4\n4 1\n1 5\n3 3\n1 3\n3 4\n4 4\n1 1\n2 5\n4 5\n3 1\n3 1\n3 6\n3 2\n1 4\n1 6\n6 3\n2 4\n1 1\n2 2\n2 2\n2 1\n5 4\n1 2\n6 6\n2 2\n3 3\n6 3\n6 3\n1 6\n2 3\n2 4\n2 3\n6 6\n2 6\n6 3\n3 5\n1 4\n1 1\n3 5\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 4\n", "output": "Mishka\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Mishka\n" }, { "input": "84\n6 1\n6 3\n6 3\n4 1\n4 3\n4 2\n6 3\n5 3\n6 1\n6 3\n4 3\n5 2\n5 3\n5 1\n6 2\n6 2\n6 1\n4 1\n6 3\n5 2\n4 1\n5 3\n6 3\n4 2\n6 2\n6 3\n4 3\n4 1\n4 3\n5 1\n5 1\n5 1\n4 1\n9 1\n4 3\n6 2\n5 1\n5 1\n6 2\n5 2\n4 1\n6 1\n6 1\n6 3\n6 2\n4 3\n6 3\n6 2\n5 2\n5 1\n4 3\n6 2\n4 1\n6 2\n6 1\n5 2\n5 1\n6 2\n6 1\n5 3\n5 2\n6 1\n6 3\n5 2\n6 1\n6 3\n4 3\n5 1\n6 3\n6 1\n5 3\n4 3\n5 2\n5 1\n6 2\n5 3\n6 1\n5 1\n4 1\n5 1\n5 1\n5 2\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "6\n5 3\n0 6\n6 2\n1 6\n5 1\n3 5\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n6 2\n1 5\n6 2\n2 3\n5 5\n1 2\n3 4\n3 4\n6 5\n6 4\n2 5\n4 1\n1 2\n1 1\n1 4\n2 5\n5 6\n6 3\n2 4\n5 5\n2 6\n3 4\n5 1\n3 3\n5 5\n4 6\n4 6\n2 4\n4 1\n5 2\n2 2\n3 6\n3 3\n4 6\n1 1\n2 4\n6 5\n5 2\n6 5\n5 5\n2 5\n6 4\n1 1\n6 2\n3 6\n6 5\n4 4\n1 5\n5 6\n4 4\n3 5\n6 1\n3 4\n1 5\n4 6\n4 6\n4 1\n3 6\n6 2\n1 1\n4 5\n5 4\n5 3\n3 4\n6 4\n1 1\n5 2\n6 5\n6 1\n2 2\n2 4\n3 3\n4 6\n1 3\n6 6\n5 2\n1 3\n6 2\n6 6\n4 1\n3 6\n6 4\n2 3\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 0\n3 4\n5 1\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "76\n4 1\n5 2\n4 3\n5 2\n5 3\n5 2\n6 1\n4 2\n6 2\n5 3\n4 2\n6 2\n4 1\n4 2\n5 1\n5 1\n6 2\n5 2\n5 3\n6 3\n5 2\n4 3\n6 3\n6 1\n4 3\n6 2\n6 1\n4 1\n6 1\n5 3\n4 1\n5 3\n4 2\n5 2\n4 3\n6 1\n6 2\n5 2\n6 1\n5 3\n4 3\n5 1\n5 3\n4 3\n5 1\n0 1\n4 1\n4 1\n4 1\n4 3\n5 3\n6 3\n6 3\n5 2\n6 2\n6 3\n5 1\n6 3\n5 3\n6 1\n5 3\n4 1\n5 3\n6 1\n4 2\n6 2\n4 3\n4 1\n6 2\n4 3\n5 3\n5 2\n5 3\n5 1\n6 3\n5 2\n", "output": "Mishka\n" }, { "input": "7\n3 4\n1 3\n2 5\n1 6\n1 6\n1 5\n3 4\n", "output": "Chris\n" }, { "input": "4\n6 2\n2 4\n5 2\n3 6\n", "output": "Friendship is magic!^^\n" }, { "input": "42\n5 3\n5 1\n5 2\n4 1\n6 3\n6 1\n6 2\n4 1\n4 3\n4 1\n5 1\n5 3\n5 1\n4 1\n4 2\n6 1\n6 3\n5 1\n3 1\n4 1\n6 3\n4 3\n6 3\n5 2\n6 1\n4 1\n5 3\n4 3\n5 2\n6 3\n6 1\n5 1\n4 2\n4 3\n5 2\n5 3\n6 3\n5 2\n5 1\n5 3\n6 2\n6 1\n", "output": "Mishka\n" }, { "input": "100\n6 3\n4 5\n4 3\n5 4\n5 1\n6 3\n4 2\n4 6\n3 1\n2 4\n2 2\n4 6\n5 3\n5 5\n4 2\n6 2\n2 3\n4 4\n6 4\n3 5\n2 4\n2 2\n5 2\n3 5\n2 4\n4 4\n3 5\n6 5\n1 3\n1 6\n2 4\n2 4\n3 2\n5 4\n1 6\n3 4\n4 1\n1 5\n1 4\n5 3\n2 2\n4 5\n6 3\n4 4\n1 1\n4 1\n2 4\n4 1\n4 5\n5 3\n1 1\n1 6\n5 6\n6 6\n4 2\n4 3\n3 4\n3 6\n3 4\n6 5\n3 4\n5 4\n5 1\n5 3\n5 1\n1 2\n2 6\n3 4\n6 5\n4 3\n1 1\n5 5\n5 1\n3 3\n5 2\n1 3\n6 6\n5 6\n1 4\n4 4\n1 4\n3 6\n6 5\n3 3\n3 6\n1 5\n1 2\n3 6\n3 6\n4 1\n5 2\n1 2\n5 2\n3 3\n4 4\n4 2\n6 2\n5 4\n6 1\n6 3\n", "output": "Friendship is magic!^^\n" }, { "input": "84\n3 6\n3 4\n2 5\n2 4\n1 6\n3 8\n1 5\n1 6\n3 5\n1 6\n2 4\n2 6\n2 6\n2 4\n3 5\n1 5\n3 6\n3 6\n3 4\n3 4\n2 6\n1 6\n1 6\n3 5\n3 4\n1 6\n3 4\n3 5\n2 4\n2 5\n2 5\n3 5\n1 6\n3 4\n2 6\n2 6\n3 4\n3 4\n2 5\n2 5\n2 4\n3 4\n2 5\n3 4\n3 4\n2 6\n2 6\n1 6\n2 4\n1 5\n3 4\n2 5\n2 5\n3 4\n2 4\n2 6\n2 6\n1 4\n3 5\n3 5\n2 4\n2 5\n3 4\n1 5\n1 5\n2 6\n1 5\n3 5\n2 4\n2 5\n3 4\n2 6\n1 6\n2 5\n3 5\n3 5\n3 4\n2 5\n2 6\n3 4\n1 6\n2 5\n2 6\n1 4\n", "output": "Chris\n" }, { "input": "67\n6 5\n3 6\n1 6\n5 3\n5 4\n5 1\n1 6\n1 1\n3 2\n4 4\n3 1\n4 1\n1 5\n5 3\n3 3\n6 4\n2 4\n2 2\n4 3\n1 4\n1 4\n6 1\n1 2\n2 2\n5 1\n6 2\n3 5\n5 5\n2 2\n6 5\n6 2\n4 4\n6 1\n4 2\n6 6\n6 4\n5 1\n2 2\n4 5\n5 5\n4 6\n1 5\n6 3\n4 4\n1 5\n6 4\n3 6\n3 4\n1 6\n2 4\n2 1\n2 5\n6 5\n6 4\n4 1\n3 2\n1 2\n5 1\n5 6\n1 5\n3 5\n3 1\n5 3\n3 2\n5 1\n4 6\n6 6\n", "output": "Mishka\n" }, { "input": "8\n6 1\n5 3\n4 3\n4 1\n5 1\n4 2\n4 0\n4 1\n", "output": "Mishka\n" }, { "input": "70\n6 1\n3 6\n4 3\n2 5\n5 2\n1 4\n6 2\n1 6\n4 3\n1 4\n5 3\n2 4\n5 3\n1 6\n5 1\n3 5\n4 2\n2 4\n5 1\n3 5\n6 2\n1 5\n4 2\n2 5\n5 3\n1 5\n4 2\n1 4\n5 2\n2 6\n4 3\n1 5\n6 2\n3 4\n4 2\n3 5\n6 3\n3 4\n5 1\n1 4\n4 2\n1 4\n6 3\n2 6\n5 2\n1 6\n6 1\n2 6\n5 3\n1 5\n5 1\n1 6\n4 1\n1 5\n4 2\n2 4\n5 1\n2 5\n6 3\n1 4\n6 3\n3 6\n5 1\n1 4\n5 3\n3 5\n4 2\n3 4\n6 2\n0 4\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n4 1\n3 2\n5 3\n5 1\n5 3\n4 1\n", "output": "Mishka\n" }, { "input": "8\n4 1\n2 6\n4 2\n2 5\n5 0\n3 5\n5 2\n1 5\n", "output": "Friendship is magic!^^\n" }, { "input": "5\n3 6\n3 5\n4 5\n1 6\n3 5\n", "output": "Chris\n" }, { "input": "65\n1 1\n5 1\n2 2\n5 4\n4 5\n2 6\n3 2\n5 6\n6 3\n1 1\n6 1\n1 5\n1 1\n5 2\n6 4\n1 6\n1 1\n4 3\n2 3\n5 6\n4 4\n6 2\n1 3\n4 3\n1 3\n6 3\n3 5\n4 2\n4 1\n6 1\n3 2\n2 6\n3 2\n3 5\n6 3\n4 3\n1 5\n2 6\n1 3\n4 1\n4 1\n2 5\n2 5\n6 2\n5 3\n3 1\n3 3\n5 1\n2 4\n5 3\n3 3\n1 1\n6 3\n3 3\n5 1\n1 6\n4 5\n6 6\n5 5\n2 5\n4 1\n2 2\n1 4\n1 6\n6 5\n", "output": "Mishka\n" }, { "input": "100\n4 3\n4 3\n4 2\n4 3\n4 1\n4 3\n5 2\n7 2\n6 2\n4 2\n5 1\n4 2\n5 2\n6 1\n4 1\n6 3\n5 3\n5 1\n5 1\n5 1\n5 3\n6 1\n6 1\n4 1\n5 2\n5 2\n6 1\n6 3\n4 2\n4 1\n5 3\n4 1\n5 3\n5 1\n6 3\n6 3\n6 1\n5 2\n5 3\n5 3\n6 1\n4 1\n6 2\n6 1\n6 2\n6 3\n4 3\n4 3\n6 3\n4 2\n4 2\n5 3\n5 2\n5 2\n4 3\n5 3\n5 2\n4 2\n5 1\n4 2\n5 1\n5 3\n6 3\n5 3\n5 3\n4 2\n4 1\n4 2\n4 3\n6 3\n4 3\n6 2\n6 1\n5 3\n5 2\n4 1\n6 1\n5 2\n6 2\n4 2\n6 3\n4 3\n5 1\n6 3\n5 2\n4 3\n5 3\n5 3\n4 3\n6 3\n4 3\n4 1\n5 1\n6 2\n6 3\n5 3\n6 1\n6 3\n5 3\n6 1\n", "output": "Mishka\n" }, { "input": "100\n4 1\n3 4\n4 6\n4 5\n6 5\n5 3\n6 2\n6 3\n5 2\n4 5\n1 5\n5 4\n1 4\n4 5\n4 6\n1 6\n4 4\n5 1\n6 4\n6 4\n4 6\n2 3\n6 2\n4 6\n1 4\n2 3\n4 3\n1 3\n6 2\n3 1\n3 4\n2 6\n4 5\n5 4\n2 2\n2 5\n4 1\n2 2\n3 3\n1 4\n5 6\n6 4\n4 2\n6 1\n5 5\n4 1\n2 1\n6 4\n4 4\n6 3\n5 3\n4 5\n5 3\n3 5\n6 3\n1 1\n3 4\n6 3\n6 1\n5 1\n2 4\n4 3\n2 2\n5 5\n1 5\n5 3\n4 6\n1 4\n6 3\n4 3\n2 4\n3 2\n2 4\n3 4\n6 2\n5 6\n1 2\n1 5\n5 5\n2 6\n5 1\n1 6\n5 3\n3 5\n2 6\n4 6\n6 2\n3 1\n5 5\n6 1\n3 6\n4 4\n1 1\n4 6\n5 3\n4 2\n5 1\n3 3\n2 1\n1 4\n", "output": "Mishka\n" }, { "input": "42\n1 5\n1 6\n1 6\n1 4\n2 5\n3 6\n1 6\n3 4\n2 5\n2 5\n2 4\n1 4\n3 4\n2 4\n2 6\n1 5\n3 6\n2 6\n2 6\n3 5\n1 4\n1 5\n2 6\n3 6\n1 4\n3 4\n2 0\n1 6\n3 4\n2 4\n2 6\n1 6\n1 4\n1 6\n1 6\n2 4\n1 5\n1 6\n2 5\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "8\n4 1\n6 2\n4 1\n5 3\n4 2\n5 3\n6 2\n5 3\n", "output": "Mishka\n" }, { "input": "86\n6 3\n2 4\n6 3\n3 5\n6 3\n1 5\n5 2\n2 4\n4 3\n2 6\n4 1\n2 6\n5 2\n1 4\n5 1\n2 4\n4 1\n1 4\n6 2\n3 5\n4 2\n2 4\n6 4\n1 5\n5 3\n2 5\n5 1\n1 6\n6 1\n1 4\n4 3\n3 4\n5 2\n2 4\n5 3\n2 5\n4 3\n3 4\n4 1\n1 5\n6 3\n3 4\n4 3\n3 4\n4 1\n3 4\n5 1\n1 6\n4 2\n1 6\n5 1\n2 4\n5 1\n3 6\n4 1\n1 5\n5 2\n1 4\n4 3\n2 5\n5 1\n1 5\n6 2\n2 6\n4 2\n2 4\n4 1\n2 5\n5 3\n3 4\n5 1\n3 4\n6 3\n3 4\n4 3\n2 6\n6 2\n2 5\n5 2\n3 5\n4 2\n3 6\n6 2\n3 4\n4 2\n2 4\n", "output": "Friendship is magic!^^\n" }, { "input": "9\n2 5\n2 3\n1 4\n2 6\n2 4\n2 5\n2 6\n1 5\n2 5\n", "output": "Chris\n" }, { "input": "11\n1 7\n1 6\n2 4\n2 5\n3 4\n1 5\n1 6\n1 5\n1 6\n2 6\n3 4\n", "output": "Chris\n" }, { "input": "56\n6 4\n3 4\n6 1\n3 3\n1 4\n2 3\n1 5\n2 5\n1 5\n5 5\n2 3\n1 1\n3 2\n3 5\n4 6\n4 4\n5 2\n4 3\n3 1\n3 6\n2 3\n3 4\n5 6\n5 4\n5 6\n1 5\n1 5\n4 1\n6 3\n2 2\n2 1\n5 5\n2 1\n4 1\n5 4\n2 5\n4 1\n6 2\n3 4\n4 2\n6 4\n5 4\n4 2\n4 3\n6 2\n6 2\n3 1\n1 4\n3 6\n5 1\n5 5\n3 6\n6 4\n2 3\n6 5\n3 3\n", "output": "Mishka\n" }, { "input": "100\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "92\n2 3\n1 3\n2 6\n5 1\n5 5\n3 2\n5 6\n2 5\n3 1\n3 6\n4 5\n2 5\n1 2\n2 3\n6 5\n3 6\n4 4\n6 2\n4 5\n4 4\n5 1\n6 1\n3 4\n3 5\n6 6\n3 2\n6 4\n2 2\n3 5\n6 4\n6 3\n6 6\n3 4\n3 3\n6 1\n5 4\n6 2\n2 6\n5 6\n1 4\n4 6\n6 3\n3 1\n4 1\n6 6\n3 5\n6 3\n6 1\n1 6\n3 2\n6 6\n4 3\n3 4\n1 3\n3 5\n5 3\n6 5\n4 3\n5 5\n4 1\n1 5\n6 4\n2 3\n2 3\n1 5\n1 2\n5 2\n4 3\n3 6\n5 5\n5 4\n1 4\n3 3\n1 6\n5 6\n5 4\n5 3\n1 1\n6 2\n5 5\n2 5\n4 3\n6 6\n5 1\n1 1\n4 6\n4 6\n3 1\n6 5\n2 4\n2 2\n2 1\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n0 6\n1 6\n", "output": "Mishka\n" }, { "input": "99\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "100\n2 4\n6 6\n3 2\n1 5\n5 2\n1 5\n1 5\n3 1\n6 5\n4 3\n1 1\n5 1\n3 3\n2 4\n1 5\n3 4\n5 1\n9 5\n2 5\n2 1\n4 3\n6 5\n1 1\n2 1\n1 3\n1 1\n6 4\n4 6\n6 4\n2 1\n2 5\n6 2\n3 4\n5 5\n1 4\n4 6\n3 4\n1 6\n5 1\n4 3\n3 4\n2 2\n1 2\n2 3\n1 3\n4 4\n5 5\n4 5\n4 4\n3 1\n4 5\n2 3\n2 6\n6 5\n6 1\n6 6\n2 3\n6 4\n3 3\n2 5\n4 4\n3 1\n2 4\n6 1\n3 2\n1 3\n5 4\n6 6\n2 5\n5 1\n1 1\n2 5\n6 5\n3 6\n5 6\n4 3\n3 4\n3 4\n6 5\n5 2\n4 2\n1 1\n3 1\n2 6\n1 6\n1 2\n6 1\n3 4\n1 6\n3 1\n5 3\n1 3\n5 6\n2 1\n6 4\n3 1\n1 6\n6 3\n3 3\n4 3\n", "output": "Chris\n" }, { "input": "9\n1 2\n0 2\n1 2\n1 2\n1 2\n6 1\n6 1\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 1\n2 1\n0 1\n1 6\n1 6\n1 6\n1 6\n", "output": "Chris\n" }, { "input": "100\n1 5\n1 4\n1 5\n2 4\n2 6\n3 6\n3 5\n1 5\n2 5\n3 6\n3 5\n1 6\n1 4\n1 5\n1 6\n2 6\n1 5\n3 5\n3 4\n2 6\n2 6\n2 5\n3 4\n1 6\n1 4\n2 4\n1 5\n1 6\n3 5\n1 6\n2 6\n3 5\n1 6\n3 4\n3 5\n1 6\n3 6\n2 4\n2 4\n3 5\n2 6\n1 5\n3 5\n3 6\n2 4\n2 4\n2 6\n3 4\n3 4\n1 5\n1 4\n2 5\n3 4\n1 4\n2 6\n2 5\n2 4\n2 4\n2 10\n1 5\n1 6\n1 5\n1 5\n1 5\n1 6\n3 4\n2 4\n3 5\n3 5\n1 6\n3 5\n1 5\n1 6\n3 6\n3 4\n1 5\n3 5\n3 6\n1 4\n3 6\n1 5\n3 5\n3 6\n3 5\n1 4\n3 4\n2 4\n2 4\n2 5\n3 6\n3 5\n1 5\n2 4\n1 4\n3 4\n1 5\n3 4\n3 6\n3 5\n3 4\n", "output": "Chris\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n0 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "2\n6 1\n1 8\n", "output": "Friendship is magic!^^\n" }, { "input": "3\n1 5\n4 3\n2 2\n", "output": "Friendship is magic!^^\n" }, { "input": "3\n3 5\n2 2\n4 2\n", "output": "Friendship is magic!^^\n" }, { "input": "55\n6 6\n4 5\n2 2\n2 2\n6 4\n5 5\n6 5\n5 3\n1 3\n2 2\n5 6\n3 3\n3 3\n6 5\n3 5\n5 5\n1 2\n0 1\n4 6\n1 2\n5 5\n6 2\n6 3\n1 2\n5 1\n1 3\n3 3\n4 4\n2 5\n1 1\n5 3\n4 3\n2 2\n4 5\n5 6\n4 5\n6 3\n1 6\n6 4\n3 6\n1 6\n5 2\n6 3\n2 3\n5 5\n4 3\n3 1\n4 2\n1 1\n2 5\n5 3\n2 2\n6 3\n4 5\n2 2\n", "output": "Chris\n" }, { "input": "20\n3 1\n1 4\n4 4\n1 5\n4 2\n3 6\n6 2\n1 6\n4 1\n1 4\n5 2\n3 4\n5 1\n1 6\n5 1\n2 6\n6 3\n2 5\n6 2\n2 4\n", "output": "Chris\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n1 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 1\n2 2\n1 4\n", "output": "Mishka\n" }, { "input": "5\n1 4\n2 5\n3 4\n2 1\n3 8\n", "output": "Chris\n" }, { "input": "59\n4 1\n5 3\n6 1\n4 2\n5 1\n4 3\n6 1\n5 1\n4 3\n3 3\n5 2\n5 3\n4 1\n6 2\n5 1\n6 3\n6 3\n5 2\n5 2\n6 1\n4 1\n6 1\n4 3\n5 3\n5 3\n4 3\n4 2\n4 2\n6 3\n6 3\n6 1\n4 3\n5 1\n6 2\n6 1\n4 1\n6 1\n5 3\n4 2\n5 1\n6 2\n6 2\n4 3\n5 3\n4 3\n6 3\n5 2\n5 2\n4 3\n5 1\n5 3\n6 1\n6 3\n6 3\n4 4\n5 2\n5 2\n5 2\n4 3\n", "output": "Mishka\n" }, { "input": "93\n4 3\n4 1\n4 2\n5 2\n5 3\n6 3\n4 3\n6 2\n6 4\n5 1\n4 2\n4 2\n5 1\n6 2\n6 3\n6 1\n4 1\n6 2\n5 3\n4 3\n4 0\n4 2\n5 2\n6 3\n5 2\n5 2\n6 3\n5 1\n6 2\n5 2\n4 1\n5 2\n5 1\n4 1\n6 1\n5 2\n4 3\n5 3\n5 3\n5 1\n4 3\n4 3\n4 2\n4 1\n6 2\n6 1\n4 1\n5 2\n5 2\n6 2\n5 3\n5 1\n6 2\n5 1\n6 3\n5 2\n6 2\n6 2\n4 2\n5 2\n6 1\n6 3\n6 3\n5 1\n5 1\n4 1\n5 1\n4 3\n5 3\n6 3\n4 1\n4 3\n6 1\n6 1\n4 2\n6 2\n4 2\n5 2\n4 1\n5 2\n4 1\n5 1\n5 2\n5 1\n4 1\n6 3\n6 2\n4 3\n4 1\n5 2\n4 3\n5 2\n5 1\n", "output": "Mishka\n" }, { "input": "50\n3 6\n2 6\n1 4\n1 4\n1 4\n2 5\n3 4\n3 5\n2 6\n1 6\n3 5\n1 5\n2 6\n2 4\n2 4\n2 5\n1 6\n1 5\n1 5\n1 4\n3 5\n1 6\n3 5\n1 4\n1 5\n1 4\n3 6\n1 6\n0 4\n1 4\n1 4\n1 5\n3 6\n1 6\n1 6\n2 4\n1 5\n2 6\n2 5\n3 5\n3 6\n3 4\n2 4\n2 6\n3 4\n2 5\n3 6\n3 5\n2 4\n2 4\n", "output": "Chris\n" }, { "input": "8\n2 6\n3 6\n1 6\n1 6\n2 4\n5 4\n3 6\n3 4\n", "output": "Chris\n" }, { "input": "79\n5 3\n4 6\n3 6\n2 1\n5 2\n2 3\n4 4\n6 2\n2 5\n1 6\n6 6\n2 4\n3 3\n4 5\n6 2\n2 1\n1 5\n5 1\n2 1\n2 6\n5 3\n6 2\n2 6\n2 3\n1 5\n4 4\n6 4\n5 2\n3 2\n1 3\n1 3\n6 3\n2 6\n3 6\n5 3\n4 5\n6 1\n3 5\n3 5\n6 5\n1 5\n4 2\n6 2\n2 3\n4 6\n3 6\n2 5\n4 4\n1 1\n4 6\n2 6\n6 4\n3 2\n4 1\n1 2\n6 4\n5 6\n1 4\n2 2\n5 4\n3 2\n1 2\n2 4\n2 5\n2 1\n3 6\n3 3\n1 1\n2 2\n4 4\n4 5\n3 3\n5 3\n6 2\n4 5\n6 5\n2 5\n5 6\n2 2\n", "output": "Chris\n" }, { "input": "9\n2 1\n2 1\n2 2\n2 1\n2 1\n1 6\n1 1\n2 1\n1 3\n", "output": "Mishka\n" }, { "input": "70\n3 4\n2 3\n2 3\n6 5\n6 6\n4 3\n2 3\n3 1\n3 5\n5 6\n1 6\n2 5\n5 3\n2 5\n4 6\n5 1\n6 1\n3 1\n3 3\n5 3\n2 1\n3 3\n6 4\n6 3\n4 3\n4 5\n3 5\n5 5\n5 2\n1 6\n3 4\n5 2\n2 4\n1 6\n4 3\n4 3\n6 2\n1 3\n1 5\n6 1\n3 1\n1 1\n1 3\n2 2\n3 2\n6 4\n1 1\n4 4\n3 1\n4 3\n4 2\n6 3\n4 4\n3 2\n1 2\n2 6\n3 3\n1 5\n1 1\n6 5\n2 2\n3 1\n5 4\n5 2\n6 4\n6 3\n6 6\n6 3\n3 3\n5 3\n", "output": "Mishka\n" }, { "input": "92\n1 5\n2 4\n3 5\n1 6\n2 5\n1 6\n3 6\n1 6\n2 4\n3 6\n3 4\n3 6\n1 5\n2 5\n1 5\n1 5\n2 6\n2 4\n3 6\n1 4\n1 6\n2 6\n3 4\n2 6\n2 6\n1 4\n3 5\n2 5\n2 6\n1 5\n1 4\n1 5\n3 6\n3 5\n2 5\n1 5\n3 5\n3 6\n2 6\n4 6\n1 5\n3 4\n2 4\n3 6\n2 5\n1 5\n2 4\n1 4\n2 6\n2 6\n2 6\n1 5\n3 6\n3 6\n2 5\n1 4\n2 4\n3 4\n1 5\n2 5\n2 4\n2 5\n3 5\n3 4\n3 6\n2 6\n3 5\n1 4\n3 4\n1 6\n3 6\n2 6\n1 4\n3 6\n3 6\n2 5\n2 6\n1 6\n2 6\n3 5\n2 5\n3 6\n2 5\n2 6\n1 5\n2 4\n1 4\n2 4\n1 5\n2 5\n2 5\n2 6\n", "output": "Chris\n" }, { "input": "4\n2 1\n2 4\n5 3\n6 6\n", "output": "Mishka\n" }, { "input": "6\n6 2\n2 5\n5 2\n3 6\n4 6\n0 6\n", "output": "Chris\n" }, { "input": "100\n4 3\n3 4\n5 1\n2 5\n5 3\n1 5\n6 3\n2 4\n5 2\n2 6\n5 2\n1 5\n6 3\n1 5\n6 3\n3 4\n5 2\n1 5\n6 1\n1 5\n4 2\n3 5\n6 3\n2 6\n6 3\n1 4\n6 2\n3 4\n4 1\n3 6\n5 1\n2 4\n5 1\n3 4\n6 2\n3 5\n4 1\n2 6\n4 3\n2 6\n5 2\n3 6\n6 2\n3 5\n4 3\n1 5\n5 3\n3 6\n4 2\n3 4\n6 1\n3 4\n5 2\n2 6\n5 2\n2 4\n6 2\n3 6\n4 3\n2 4\n4 3\n2 6\n4 2\n3 4\n6 3\n2 4\n6 3\n3 5\n5 2\n1 5\n6 3\n3 6\n4 3\n1 4\n5 2\n1 6\n4 1\n2 5\n4 1\n2 4\n4 2\n2 5\n6 1\n2 4\n4 3\n1 5\n4 3\n2 6\n6 3\n2 6\n5 3\n1 5\n4 1\n1 5\n6 2\n2 5\n5 1\n3 6\n4 3\n3 7\n", "output": "Friendship is magic!^^\n" }, { "input": "10\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n6 1\n2 0\n6 1\n6 1\n", "output": "Chris\n" }, { "input": "81\n4 2\n1 2\n2 3\n4 5\n6 2\n1 6\n3 6\n3 4\n4 6\n4 4\n3 5\n4 6\n3 6\n3 5\n6 1\n1 3\n5 3\n3 4\n1 1\n4 1\n1 2\n6 1\n1 3\n6 5\n4 5\n4 2\n4 5\n6 2\n1 2\n2 6\n5 2\n1 5\n2 4\n4 3\n5 4\n1 2\n5 3\n2 6\n6 4\n1 1\n1 3\n3 1\n5 1\n6 5\n5 5\n6 1\n6 6\n5 2\n1 3\n1 4\n2 3\n5 5\n3 1\n3 1\n4 4\n1 6\n6 4\n2 2\n4 6\n4 4\n2 6\n2 4\n2 4\n4 1\n1 6\n1 4\n1 3\n6 5\n5 1\n1 3\n5 1\n1 4\n3 5\n2 6\n1 3\n5 6\n3 5\n4 4\n5 5\n5 6\n4 3\n", "output": "Chris\n" }, { "input": "9\n5 2\n4 1\n4 0\n5 1\n6 2\n6 2\n5 3\n6 1\n6 2\n", "output": "Mishka\n" }, { "input": "99\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 9\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n", "output": "Friendship is magic!^^\n" }, { "input": "6\n5 2\n3 1\n6 1\n5 2\n4 2\n5 1\n", "output": "Mishka\n" }, { "input": "1\n2 1\n", "output": "Mishka\n" }, { "input": "8\n2 4\n1 4\n1 5\n2 6\n2 5\n2 5\n2 8\n2 10\n", "output": "Chris\n" }, { "input": "6\n4 3\n5 1\n6 3\n0 3\n4 3\n5 2\n", "output": "Mishka\n" }, { "input": "94\n2 4\n6 4\n1 6\n1 4\n5 1\n3 3\n4 3\n6 1\n6 5\n3 2\n2 3\n5 1\n5 3\n1 2\n4 3\n3 2\n3 3\n4 6\n2 3\n6 3\n1 1\n3 2\n4 3\n1 5\n4 6\n3 2\n6 3\n1 6\n1 1\n1 2\n3 5\n1 3\n3 5\n4 4\n4 2\n1 4\n4 5\n1 3\n1 2\n1 1\n5 4\n5 5\n6 1\n2 1\n2 6\n6 6\n4 2\n3 6\n1 6\n6 6\n1 5\n3 2\n1 2\n4 4\n6 4\n4 1\n1 5\n3 3\n1 3\n3 4\n4 4\n1 1\n2 5\n4 5\n3 1\n3 1\n3 6\n3 2\n1 4\n1 6\n6 3\n2 4\n1 1\n2 2\n2 2\n2 1\n5 4\n1 2\n6 6\n2 2\n3 3\n6 3\n6 3\n1 6\n2 3\n2 4\n2 3\n6 6\n2 6\n6 3\n3 5\n1 4\n1 1\n3 5\n", "output": "Chris\n" }, { "input": "10\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n2 1\n2 2\n2 1\n2 4\n", "output": "Mishka\n" }, { "input": "100\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 2\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n3 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n2 1\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 6\n1 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p02417 Counting Characters
3005
3005_182
Write a program which counts and reports the number of each alphabetical letter. Ignore the case of characters. Constraints * The number of characters in the sentence < 1200 Input A sentence in English is given in several lines. Output Prints the number of alphabetical letters in the following format: a : The number of 'a' b : The number of 'b' c : The number of 'c' . . z : The number of 'z' Example Input This is a pen. Output a : 1 b : 0 c : 0 d : 0 e : 1 f : 0 g : 0 h : 1 i : 2 j : 0 k : 0 l : 0 m : 0 n : 1 o : 0 p : 1 q : 0 r : 0 s : 2 t : 1 u : 0 v : 0 w : 0 x : 0 y : 0 z : 0
import string a = "" while True: try: a += input().lower() except Exception: break for i in string.ascii_lowercase: print(f"{i} : {a.count(i)}")
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: text: str @classmethod def from_str(cls, input_: str): text = input_.strip() return cls(text) def __repr__(self): return self.text + '\n'
This is a pen.
O(n)
0
{ "public_tests": [ { "input": "This is a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0" } ], "private_tests": [], "generated_tests": [ { "input": "This is ` pen.", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "This si a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTit si a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 2\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ir a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ri a pdn.", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ri a odn.", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ri a odo.", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hsiT rh a od.o", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 2\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Tsih is a od-o", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Tsih is ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ihsT it ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 1\nt : 2\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ihsU it ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 1\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ihrU it ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Uirh it ` p-do", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Uirh ti a p-do", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "iUrh ti a q-do", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "iUrh ti ` q-do", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hrUi is ` q-do", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hrUi is ` q-eo", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hrVi si ` q-eo", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hhrV si ` oq-e", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 2\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hgrV si ` e-qo", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hgrV is ` e-ro", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vgrh ti ` eoq-", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vgrh ti ` eor-", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vgrh it a e-ro", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh it a e-ro", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh ti ` e-or", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh ti ` dro-", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh ti ` drn-", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vrfh ht ` -ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vrfh ht a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vrfh ti a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vqfh it a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vqfh iu a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vqfh iu ` -ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hfqV hu _ -ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hfpV uh _ ,ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vpfh uh ^ ,ncr", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vofh uh ^ ,ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vofi uh ^ ,ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ifoV vh ^ dn+r", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ifoV hv ^ cn+r", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Voif hv ^ co+r", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Voif iv ] co+r", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Viof iv ] r+od", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "foiV jv ] r+od", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "foiV jv ] r+oe", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "fojV jv ] reo+", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 0\nj : 2\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "fojV iw ] reo+", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "jofV wi ] +per", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "jogV wi ] +per", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "jogV vi ] +per", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "iogV vi \\ rep+", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "foiV vi [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "fniV vi [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "finV iw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW wi [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW iw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW hw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW gw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 0\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "fhnW gw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "Whnf wg [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "hnfX gw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "hnfY gw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "hnfY hw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "Yfmh wh [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "Yfmh wh Z rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 1\n" }, { "input": "Yfmh wh Y rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 2\nz : 0\n" }, { "input": "hmfY wh X rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "fmhY wi X rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "Yhmf iw W re*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 1\nz : 0\n" }, { "input": "Yhmf wi X rf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 0\nf : 2\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "Yhme wi X sf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "mhYe vi X sf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYe vi X sf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYe vi X se*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 2\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYd vi X se*p", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYd wi X p*es", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYd wi W p*es", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhYd wi W p*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhYd wi V p*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhYd wi U p*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhXd iw V re*p", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhXd iw U re*p", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhXd wi V re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhXd iw U re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl iw T re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 1\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl jw T re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 0\nj : 1\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 1\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl iw S o*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl ix S o*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "dXhl ix S o*dr", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "dXhl ix R o*dr", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "dXhl hx R rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "chlX hx R rd)o", "output": "a : 0\nb : 0\nc : 1\nd : 1\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "chlX hw R rd)o", "output": "a : 0\nb : 0\nc : 1\nd : 1\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dhlX hw R rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dhlX iw R rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhdX iw Q rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhcX iw Q dr)o", "output": "a : 0\nb : 0\nc : 1\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" } ] }
[ 0.000004617569943728147, 0.0000030373234948645106, 0.000003027382552993881, 0.000002864512743116259, 0.0000027620989674388113, 0.0000020012250191215033, 4.0619886363636365e-7, 4.059851125437064e-7, 3.0647060751748255e-7, 3.06244454763986e-7, 3.0565719241695803e-7, 3.0532199246066433e-7, 3.0510037423513987e-7, 3.0501264750874125e-7, 3.0483709844842663e-7, 3.0426917613636366e-7, 3.0417732462849654e-7, 3.040620356206294e-7, 3.038750273164336e-7, 3.038384369536713e-7, 3.0377663352272727e-7, 3.035038379589161e-7, 3.0330000273164337e-7, 3.03101630791084e-7, 3.030876038024476e-7, 3.0299657178758744e-7, 3.0294245793269233e-7, 3.0271179796765737e-7, 3.0265215253496504e-7, 3.025692061844406e-7, 3.0233621066433573e-7, 3.022649694055944e-7, 3.022226152753497e-7, 3.0218396252185313e-7, 3.018413188374126e-7, 3.017776032561189e-7, 3.009980332167833e-7, 3.007482790646853e-7, 3.0043012456293706e-7, 3.0036186079545456e-7 ]
p02417 Counting Characters
3005
3005_13
Write a program which counts and reports the number of each alphabetical letter. Ignore the case of characters. Constraints * The number of characters in the sentence < 1200 Input A sentence in English is given in several lines. Output Prints the number of alphabetical letters in the following format: a : The number of 'a' b : The number of 'b' c : The number of 'c' . . z : The number of 'z' Example Input This is a pen. Output a : 1 b : 0 c : 0 d : 0 e : 1 f : 0 g : 0 h : 1 i : 2 j : 0 k : 0 l : 0 m : 0 n : 1 o : 0 p : 1 q : 0 r : 0 s : 2 t : 1 u : 0 v : 0 w : 0 x : 0 y : 0 z : 0
import sys s=sys.stdin.read().lower() a=[print(i,':',s.count(i)) for i in map(chr,range(97,123))]
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass @dataclass class Input: text: str @classmethod def from_str(cls, input_: str): text = input_.strip() return cls(text) def __repr__(self): return self.text + '\n'
This is a pen.
O(1)
0.000002
{ "public_tests": [ { "input": "This is a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0" } ], "private_tests": [], "generated_tests": [ { "input": "This is ` pen.", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "This si a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTit si a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 2\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ir a pen.", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ri a pdn.", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ri a odn.", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hTis ri a odo.", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hsiT rh a od.o", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 2\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 1\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Tsih is a od-o", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Tsih is ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 2\nt : 1\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ihsT it ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 1\nt : 2\nu : 0\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ihsU it ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 0\ns : 1\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ihrU it ` od-o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Uirh it ` p-do", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Uirh ti a p-do", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "iUrh ti a q-do", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "iUrh ti ` q-do", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hrUi is ` q-do", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hrUi is ` q-eo", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 1\nv : 0\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hrVi si ` q-eo", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 1\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hhrV si ` oq-e", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 0\nh : 2\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hgrV si ` e-qo", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hgrV is ` e-ro", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vgrh ti ` eoq-", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vgrh ti ` eor-", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vgrh it a e-ro", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh it a e-ro", "output": "a : 1\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh ti ` e-or", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh ti ` dro-", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vfrh ti ` drn-", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vrfh ht ` -ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vrfh ht a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vrfh ti a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 0\nr : 2\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vqfh it a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 1\nu : 0\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vqfh iu a -ndr", "output": "a : 1\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vqfh iu ` -ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hfqV hu _ -ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "hfpV uh _ ,ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vpfh uh ^ ,ncr", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vofh uh ^ ,ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Vofi uh ^ ,ndr", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 1\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ifoV vh ^ dn+r", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "ifoV hv ^ cn+r", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Voif hv ^ co+r", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Voif iv ] co+r", "output": "a : 0\nb : 0\nc : 1\nd : 0\ne : 0\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "Viof iv ] r+od", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "foiV jv ] r+od", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 0\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "foiV jv ] r+oe", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "fojV jv ] reo+", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 0\nj : 2\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "fojV iw ] reo+", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 2\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "jofV wi ] +per", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "jogV wi ] +per", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "jogV vi ] +per", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 0\ni : 1\nj : 1\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "iogV vi \\ rep+", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 0\ng : 1\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "foiV vi [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 0\no : 1\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "fniV vi [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 2\nw : 0\nx : 0\ny : 0\nz : 0\n" }, { "input": "finV iw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW wi [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW iw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 0\ni : 2\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW hw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "finW gw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 0\ni : 1\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "fhnW gw [ qep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 1\nr : 0\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "Whnf wg [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 0\nz : 0\n" }, { "input": "hnfX gw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "hnfY gw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 1\nh : 1\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "hnfY hw [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 0\nn : 1\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "Yfmh wh [ rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "Yfmh wh Z rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 1\nz : 1\n" }, { "input": "Yfmh wh Y rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 0\ny : 2\nz : 0\n" }, { "input": "hmfY wh X rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "fmhY wi X rep*", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "Yhmf iw W re*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 1\nz : 0\n" }, { "input": "Yhmf wi X rf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 0\nf : 2\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "Yhme wi X sf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "mhYe vi X sf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 0\nm : 1\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYe vi X sf*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 1\nf : 1\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYe vi X se*p", "output": "a : 0\nb : 0\nc : 0\nd : 0\ne : 2\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYd vi X se*p", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 1\nw : 0\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYd wi X p*es", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 1\nz : 0\n" }, { "input": "lhYd wi W p*es", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 0\ns : 1\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhYd wi W p*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 2\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhYd wi V p*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhYd wi U p*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 0\nw : 1\nx : 0\ny : 1\nz : 0\n" }, { "input": "lhXd iw V re*p", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhXd iw U re*p", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 0\np : 1\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhXd wi V re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 0\nv : 1\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhXd iw U re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 0\nu : 1\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl iw T re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 1\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl jw T re*o", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 0\nj : 1\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 0\nt : 1\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl iw S o*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dXhl ix S o*er", "output": "a : 0\nb : 0\nc : 0\nd : 1\ne : 1\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "dXhl ix S o*dr", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 1\ns : 1\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "dXhl ix R o*dr", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "dXhl hx R rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "chlX hx R rd)o", "output": "a : 0\nb : 0\nc : 1\nd : 1\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 0\nx : 2\ny : 0\nz : 0\n" }, { "input": "chlX hw R rd)o", "output": "a : 0\nb : 0\nc : 1\nd : 1\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dhlX hw R rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 2\ni : 0\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "dhlX iw R rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 0\nr : 2\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhdX iw Q rd)o", "output": "a : 0\nb : 0\nc : 0\nd : 2\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" }, { "input": "lhcX iw Q dr)o", "output": "a : 0\nb : 0\nc : 1\nd : 1\ne : 0\nf : 0\ng : 0\nh : 1\ni : 1\nj : 0\nk : 0\nl : 1\nm : 0\nn : 0\no : 1\np : 0\nq : 1\nr : 1\ns : 0\nt : 0\nu : 0\nv : 0\nw : 1\nx : 1\ny : 0\nz : 0\n" } ] }
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651_B. Beautiful Paintings
1054
1054_216
There are n pictures delivered for the new exhibition. The i-th painting has beauty ai. We know that a visitor becomes happy every time he passes from a painting to a more beautiful one. We are allowed to arranged pictures in any order. What is the maximum possible number of times the visitor may become happy while passing all pictures from first to last? In other words, we are allowed to rearrange elements of a in any order. What is the maximum possible number of indices i (1 ≤ i ≤ n - 1), such that ai + 1 > ai. Input The first line of the input contains integer n (1 ≤ n ≤ 1000) — the number of painting. The second line contains the sequence a1, a2, ..., an (1 ≤ ai ≤ 1000), where ai means the beauty of the i-th painting. Output Print one integer — the maximum possible number of neighbouring pairs, such that ai + 1 > ai, after the optimal rearrangement. Examples Input 5 20 30 10 50 40 Output 4 Input 4 200 100 100 200 Output 2 Note In the first sample, the optimal order is: 10, 20, 30, 40, 50. In the second sample, the optimal order is: 100, 200, 100, 200.
# -*- codeing:utf-8 -*- class A(object): def __init__(self): self.AC() def GetData(self): self.m_N = int(input()) self.m_X = [int(x) for x in input().split()] def AC(self): self.GetData() ans = 0 while self.m_X: self.m_Y = [] for x in self.m_X: if x not in self.m_Y: self.m_Y.append(x) ans += (len(self.m_Y)-1) for x in self.m_Y: self.m_X.remove(x) print(ans) A()
import sys import time import itertools from itertools import accumulate, product, permutations, combinations import collections from collections import Counter, OrderedDict, deque, defaultdict, ChainMap from functools import lru_cache import math from math import sqrt, sin, cos, tan, ceil, fabs, floor, gcd, exp, log, log2 import fractions from typing import List, Tuple import numpy as np import random import heapq from heapq import * from dataclasses import dataclass import builtins import re def strip(s, characters = None): if characters is None: characters = [' ', '\t', '\n', '\r', '\v', '\f'] else: characters = list(characters) characters = [x for x in characters if len(x) > 0] i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in characters: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True i += len(sep_candidate) break if not found_sep_candidate: break j = len(s) - 1 while j >= 0: found_sep_candidate = False for sep_candidate in characters: if s[j + 1 - len(sep_candidate):j+1] == sep_candidate: found_sep_candidate = True j -= len(sep_candidate) break if not found_sep_candidate: break return s[i:j+1] def split(s, sep=None, maxsplit=-1): if sep == '': raise builtins.ValueError('empty separator') if type(sep) == list and '' in sep: raise builtins.ValueError('empty separator') if sep is None: sep = [' ', '\t', '\n', '\r', '\v', '\f'] result = [] word = '' count_split = 0 if maxsplit == -1: maxsplit = len(s) * 1000 i = 0 while i < len(s): found_sep_candidate = False for sep_candidate in sep: if s[i:i + len(sep_candidate)] == sep_candidate: found_sep_candidate = True if word: result.append(word) count_split += 1 word = '' i += len(sep_candidate) break if not found_sep_candidate and count_split < maxsplit: word += s[i] i += 1 elif not found_sep_candidate and count_split >= maxsplit: word += s[i:] i = len(s) if word: result.append(word) return result if type(sep) == str: sep = [sep] if maxsplit == -1: maxsplit = 0 elif maxsplit == 0: maxsplit = -1 return re.split(re.compile("|".join([re.escape(x) for x in sep])), s, maxsplit=maxsplit) class str_escaped(str): def split(self, sep=None, maxsplit=-1): return split(self, sep=sep, maxsplit=maxsplit) def strip(self, chars=None): return strip(self, characters = chars) from dataclasses import dataclass from typing import List @dataclass class Input: n: int a_list: List[int] @classmethod def from_str(cls, input_: str): n, a_list, _ = input_.split('\n') n = int(n) a_list = [int(x) for x in a_list.split(' ')] assert n == len(a_list) return cls(n, a_list) def __repr__(self): return str(self.n) + '\n' + ' '.join([str(x) for x in self.a_list]) + '\n'
5 20 30 10 50 40
O(n**2)
0
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