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The dataset generation failed because of a cast error
Error code: DatasetGenerationCastError
Exception: DatasetGenerationCastError
Message: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 7 new columns ({'longest_seq_token_count', 'sub_call_count', 'sub_call_beam_size', 'avg_seq_token_count', 'trace_dict', 'avg_sub_seq_token_count', 'promising_threshold'})
This happened while the json dataset builder was generating data using
hf://datasets/LM-Parallel/all-v3n5/val_hsp.json (at revision 917cff84bd54f5f216b539692e425182e284faef)
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback: Traceback (most recent call last):
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1871, in _prepare_split_single
writer.write_table(table)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/arrow_writer.py", line 643, in write_table
pa_table = table_cast(pa_table, self._schema)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2293, in table_cast
return cast_table_to_schema(table, schema)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2241, in cast_table_to_schema
raise CastError(
datasets.table.CastError: Couldn't cast
nums: list<item: int64>
child 0, item: int64
target: int64
solution: list<item: string>
child 0, item: string
optimal_path: string
start_size: int64
search_path: string
rating: double
search_type: string
heuristic: string
promising_threshold: double
beam_size: int64
sub_call_beam_size: int64
trace_dict: struct<main_calls: list<item: string>, sub_calls: list<item: list<item: struct<main_calls: list<item: string>, sub_calls: list<item: null>>>>>
child 0, main_calls: list<item: string>
child 0, item: string
child 1, sub_calls: list<item: list<item: struct<main_calls: list<item: string>, sub_calls: list<item: null>>>>
child 0, item: list<item: struct<main_calls: list<item: string>, sub_calls: list<item: null>>>
child 0, item: struct<main_calls: list<item: string>, sub_calls: list<item: null>>
child 0, main_calls: list<item: string>
child 0, item: string
child 1, sub_calls: list<item: null>
child 0, item: null
token_count: int64
longest_seq_token_count: int64
avg_seq_token_count: double
avg_sub_seq_token_count: double
sub_call_count: double
-- schema metadata --
pandas: '{"index_columns": [], "column_indexes": [], "columns": [{"name":' + 2447
to
{'nums': Sequence(feature=Value(dtype='int64', id=None), length=-1, id=None), 'target': Value(dtype='int64', id=None), 'solution': Sequence(feature=Value(dtype='string', id=None), length=-1, id=None), 'optimal_path': Value(dtype='string', id=None), 'start_size': Value(dtype='int64', id=None), 'search_path': Value(dtype='string', id=None), 'rating': Value(dtype='float64', id=None), 'search_type': Value(dtype='string', id=None), 'heuristic': Value(dtype='string', id=None), 'beam_size': Value(dtype='int64', id=None), 'token_count': Value(dtype='int64', id=None)}
because column names don't match
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1436, in compute_config_parquet_and_info_response
parquet_operations = convert_to_parquet(builder)
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1053, in convert_to_parquet
builder.download_and_prepare(
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 925, in download_and_prepare
self._download_and_prepare(
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1001, in _download_and_prepare
self._prepare_split(split_generator, **prepare_split_kwargs)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1742, in _prepare_split
for job_id, done, content in self._prepare_split_single(
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1873, in _prepare_split_single
raise DatasetGenerationCastError.from_cast_error(
datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 7 new columns ({'longest_seq_token_count', 'sub_call_count', 'sub_call_beam_size', 'avg_seq_token_count', 'trace_dict', 'avg_sub_seq_token_count', 'promising_threshold'})
This happened while the json dataset builder was generating data using
hf://datasets/LM-Parallel/all-v3n5/val_hsp.json (at revision 917cff84bd54f5f216b539692e425182e284faef)
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
nums
sequence | target
int64 | solution
sequence | optimal_path
string | start_size
int64 | search_path
string | rating
float64 | search_type
string | heuristic
string | beam_size
int64 | token_count
int64 |
|---|---|---|---|---|---|---|---|---|---|---|
[
28,
62,
45,
43,
34
] | 79 | [
"28+62=90",
"45-43=2",
"90/2=45",
"34+45=79"
] | Current State: 79:[28, 62, 45, 43, 34], Operations: []
Exploring Operation: 28+62=90, Resulting Numbers: [45, 43, 34, 90]
Generated Node #2: [45, 43, 34, 90] from Operation: 28+62=90
Current State: 79:[45, 43, 34, 90], Operations: ['28+62=90']
Exploring Operation: 45-43=2, Resulting Numbers: [34, 90, 2]
Generated Node #3: [34, 90, 2] from Operation: 45-43=2
Current State: 79:[34, 90, 2], Operations: ['28+62=90', '45-43=2']
Exploring Operation: 90/2=45, Resulting Numbers: [34, 45]
Generated Node #4: [34, 45] from Operation: 90/2=45
Current State: 79:[34, 45], Operations: ['28+62=90', '45-43=2', '90/2=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 5 | Current State: 79:[28, 62, 45, 43, 34], Operations: []
Exploring Operation: 28+45=73, Resulting Numbers: [62, 43, 34, 73]
Generated Node #0,0: 79:[62, 43, 34, 73] Operation: 28+45=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[62, 43, 34, 73], Operations: ['28+45=73']
Exploring Operation: 43+34=77, Resulting Numbers: [62, 73, 77]
Generated Node #0,0,0: 79:[62, 73, 77] Operation: 43+34=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[62, 73, 77], Operations: ['28+45=73', '43+34=77']
Exploring Operation: 62+73=135, Resulting Numbers: [77, 135]
Generated Node #0,0,0,0: 79:[77, 135] Operation: 62+73=135
Start Sub Search at level 3: Moving to Node #0,0,0,0
Current State: 79:[77, 135], Operations: ['28+45=73', '43+34=77', '62+73=135']
Exploring Operation: 135-77=58, Resulting Numbers: [58]
58,79 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic | 1 | 532 |
[
90,
52,
66,
48,
2
] | 57 | [
"52-48=4",
"66*2=132",
"132/4=33",
"90-33=57"
] | Current State: 57:[90, 52, 66, 48, 2], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [90, 66, 2, 4]
Generated Node #2: [90, 66, 2, 4] from Operation: 52-48=4
Current State: 57:[90, 66, 2, 4], Operations: ['52-48=4']
Exploring Operation: 66*2=132, Resulting Numbers: [90, 4, 132]
Generated Node #3: [90, 4, 132] from Operation: 66*2=132
Current State: 57:[90, 4, 132], Operations: ['52-48=4', '66*2=132']
Exploring Operation: 132/4=33, Resulting Numbers: [90, 33]
Generated Node #4: [90, 33] from Operation: 132/4=33
Current State: 57:[90, 33], Operations: ['52-48=4', '66*2=132', '132/4=33']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 5 | Current State: 57:[90, 52, 66, 48, 2], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [52, 66, 2, 42]
Generated Node #0,0: 57:[52, 66, 2, 42] Operation: 90-48=42
Exploring Operation: 90/2=45, Resulting Numbers: [52, 66, 48, 45]
Generated Node #0,1: 57:[52, 66, 48, 45] Operation: 90/2=45
Exploring Operation: 90-66=24, Resulting Numbers: [52, 48, 2, 24]
Generated Node #0,2: 57:[52, 48, 2, 24] Operation: 90-66=24
Exploring Operation: 90-52=38, Resulting Numbers: [66, 48, 2, 38]
Generated Node #0,3: 57:[66, 48, 2, 38] Operation: 90-52=38
Moving to Node #0,2
Current State: 57:[52, 48, 2, 24], Operations: ['90-66=24']
Exploring Operation: 52-48=4, Resulting Numbers: [2, 24, 4]
Generated Node #0,2,0: 57:[2, 24, 4] Operation: 52-48=4
Exploring Operation: 48-24=24, Resulting Numbers: [52, 2, 24]
Generated Node #0,2,1: 57:[52, 2, 24] Operation: 48-24=24
Exploring Operation: 48/24=2, Resulting Numbers: [52, 2, 2]
Generated Node #0,2,2: 57:[52, 2, 2] Operation: 48/24=2
Exploring Operation: 48/2=24, Resulting Numbers: [52, 24, 24]
Generated Node #0,2,3: 57:[52, 24, 24] Operation: 48/2=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[2, 24, 4], Operations: ['90-66=24', '52-48=4']
Exploring Operation: 24-4=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0,0: 57:[2, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [2, 6]
Generated Node #0,2,0,1: 57:[2, 6] Operation: 24/4=6
Exploring Operation: 4-2=2, Resulting Numbers: [24, 2]
Generated Node #0,2,0,2: 57:[24, 2] Operation: 4-2=2
Exploring Operation: 24-2=22, Resulting Numbers: [4, 22]
Generated Node #0,2,0,3: 57:[4, 22] Operation: 24-2=22
Moving to Node #0,2,0,0
Current State: 57:[2, 20], Operations: ['90-66=24', '52-48=4', '24-4=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,57 unequal: No Solution
Moving to Node #0,2,0,3
Current State: 57:[4, 22], Operations: ['90-66=24', '52-48=4', '24-2=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,57 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Moving to Node #0,2,0,1
Current State: 57:[2, 6], Operations: ['90-66=24', '52-48=4', '24/4=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,57 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Moving to Node #0,2,0,2
Current State: 57:[24, 2], Operations: ['90-66=24', '52-48=4', '4-2=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,57 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[52, 2, 2], Operations: ['90-66=24', '48/24=2']
Exploring Operation: 2+2=4, Resulting Numbers: [52, 4]
Generated Node #0,2,2,0: 57:[52, 4] Operation: 2+2=4
Exploring Operation: 52+2=54, Resulting Numbers: [2, 54]
Generated Node #0,2,2,1: 57:[2, 54] Operation: 52+2=54
Exploring Operation: 52+2=54, Resulting Numbers: [2, 54]
Generated Node #0,2,2,2: 57:[2, 54] Operation: 52+2=54
Exploring Operation: 2*2=4, Resulting Numbers: [52, 4]
Generated Node #0,2,2,3: 57:[52, 4] Operation: 2*2=4
Start Sub Search at level 2: Moving to Node #0,2,2,1
Current State: 57:[2, 54], Operations: ['90-66=24', '48/24=2', '52+2=54']
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,57 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,2
Current State: 57:[2, 54], Operations: ['90-66=24', '48/24=2', '52+2=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,0
Current State: 57:[52, 4], Operations: ['90-66=24', '48/24=2', '2+2=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,57 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,3
Current State: 57:[52, 4], Operations: ['90-66=24', '48/24=2', '2*2=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,57 unequal: No Solution
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,57 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[52, 2, 24], Operations: ['90-66=24', '48-24=24']
Exploring Operation: 52+2=54, Resulting Numbers: [24, 54]
Generated Node #0,2,1,0: 57:[24, 54] Operation: 52+2=54
Exploring Operation: 24-2=22, Resulting Numbers: [52, 22]
Generated Node #0,2,1,1: 57:[52, 22] Operation: 24-2=22
Exploring Operation: 52-2=50, Resulting Numbers: [24, 50]
Generated Node #0,2,1,2: 57:[24, 50] Operation: 52-2=50
Exploring Operation: 52-24=28, Resulting Numbers: [2, 28]
Generated Node #0,2,1,3: 57:[2, 28] Operation: 52-24=28
Moving to Node #0,2,1,0
Current State: 57:[24, 54], Operations: ['90-66=24', '48-24=24', '52+2=54']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,57 unequal: No Solution
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Moving to Node #0,2,1,1
Current State: 57:[52, 22], Operations: ['90-66=24', '48-24=24', '24-2=22']
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,57 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Moving to Node #0,2,1,3
Current State: 57:[2, 28], Operations: ['90-66=24', '48-24=24', '52-24=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Moving to Node #0,2,1,2
Current State: 57:[24, 50], Operations: ['90-66=24', '48-24=24', '52-2=50']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,57 unequal: No Solution
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 57:[52, 24, 24], Operations: ['90-66=24', '48/2=24']
Exploring Operation: 24/24=1, Resulting Numbers: [52, 1]
Generated Node #0,2,3,0: 57:[52, 1] Operation: 24/24=1
Exploring Operation: 52-24=28, Resulting Numbers: [24, 28]
Generated Node #0,2,3,1: 57:[24, 28] Operation: 52-24=28
Exploring Operation: 52-24=28, Resulting Numbers: [24, 28]
Generated Node #0,2,3,2: 57:[24, 28] Operation: 52-24=28
Exploring Operation: 24-24=0, Resulting Numbers: [52, 0]
Generated Node #0,2,3,3: 57:[52, 0] Operation: 24-24=0
Start Sub Search at level 2: Moving to Node #0,2,3,0
Current State: 57:[52, 1], Operations: ['90-66=24', '48/2=24', '24/24=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,57 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3,3
Current State: 57:[52, 0], Operations: ['90-66=24', '48/2=24', '24-24=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 52*0=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 52-0=52, Resulting Numbers: [52]
52,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3,1
Current State: 57:[24, 28], Operations: ['90-66=24', '48/2=24', '52-24=28']
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,57 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3,2
Current State: 57:[24, 28], Operations: ['90-66=24', '48/2=24', '52-24=28']
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,57 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 57:[52, 66, 2, 42], Operations: ['90-48=42']
Exploring Operation: 52-42=10, Resulting Numbers: [66, 2, 10]
Generated Node #0,0,0: 57:[66, 2, 10] Operation: 52-42=10
Exploring Operation: 66-52=14, Resulting Numbers: [2, 42, 14]
Generated Node #0,0,1: 57:[2, 42, 14] Operation: 66-52=14
Exploring Operation: 66-42=24, Resulting Numbers: [52, 2, 24]
Generated Node #0,0,2: 57:[52, 2, 24] Operation: 66-42=24
Exploring Operation: 42/2=21, Resulting Numbers: [52, 66, 21]
Generated Node #0,0,3: 57:[52, 66, 21] Operation: 42/2=21
Moving to Node #0,1
Current State: 57:[52, 66, 48, 45], Operations: ['90/2=45']
Exploring Operation: 52-48=4, Resulting Numbers: [66, 45, 4]
Generated Node #0,1,0: 57:[66, 45, 4] Operation: 52-48=4
Exploring Operation: 66-45=21, Resulting Numbers: [52, 48, 21]
Generated Node #0,1,1: 57:[52, 48, 21] Operation: 66-45=21
Exploring Operation: 48-45=3, Resulting Numbers: [52, 66, 3]
Generated Node #0,1,2: 57:[52, 66, 3] Operation: 48-45=3
Exploring Operation: 66-48=18, Resulting Numbers: [52, 45, 18]
Generated Node #0,1,3: 57:[52, 45, 18] Operation: 66-48=18
Moving to Node #0,3
Current State: 57:[66, 48, 2, 38], Operations: ['90-52=38']
Exploring Operation: 48-38=10, Resulting Numbers: [66, 2, 10]
Generated Node #0,3,0: 57:[66, 2, 10] Operation: 48-38=10
Exploring Operation: 38/2=19, Resulting Numbers: [66, 48, 19]
Generated Node #0,3,1: 57:[66, 48, 19] Operation: 38/2=19
Exploring Operation: 66-38=28, Resulting Numbers: [48, 2, 28]
Generated Node #0,3,2: 57:[48, 2, 28] Operation: 66-38=28
Exploring Operation: 66-48=18, Resulting Numbers: [2, 38, 18]
Generated Node #0,3,3: 57:[2, 38, 18] Operation: 66-48=18
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 57:[66, 2, 10], Operations: ['90-52=38', '48-38=10']
Exploring Operation: 66-2=64, Resulting Numbers: [10, 64]
Generated Node #0,3,0,0: 57:[10, 64] Operation: 66-2=64
Exploring Operation: 10/2=5, Resulting Numbers: [66, 5]
Generated Node #0,3,0,1: 57:[66, 5] Operation: 10/2=5
Exploring Operation: 66-10=56, Resulting Numbers: [2, 56]
Generated Node #0,3,0,2: 57:[2, 56] Operation: 66-10=56
Exploring Operation: 2*10=20, Resulting Numbers: [66, 20]
Generated Node #0,3,0,3: 57:[66, 20] Operation: 2*10=20
Moving to Node #0,3,0,2
Current State: 57:[2, 56], Operations: ['90-52=38', '48-38=10', '66-10=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,57 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Moving to Node #0,3,0,3
Current State: 57:[66, 20], Operations: ['90-52=38', '48-38=10', '2*10=20']
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,57 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,57 unequal: No Solution
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,57 unequal: No Solution
Moving to Node #0,3,0,1
Current State: 57:[66, 5], Operations: ['90-52=38', '48-38=10', '10/2=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,57 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,57 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 57:[10, 64], Operations: ['90-52=38', '48-38=10', '66-2=64']
Exploring Operation: 10*64=640, Resulting Numbers: [640]
640,57 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 57:[66, 48, 19], Operations: ['90-52=38', '38/2=19']
Exploring Operation: 66-48=18, Resulting Numbers: [19, 18]
Generated Node #0,3,1,0: 57:[19, 18] Operation: 66-48=18
Exploring Operation: 48+19=67, Resulting Numbers: [66, 67]
Generated Node #0,3,1,1: 57:[66, 67] Operation: 48+19=67
Exploring Operation: 66-19=47, Resulting Numbers: [48, 47]
Generated Node #0,3,1,2: 57:[48, 47] Operation: 66-19=47
Exploring Operation: 48-19=29, Resulting Numbers: [66, 29]
Generated Node #0,3,1,3: 57:[66, 29] Operation: 48-19=29
Start Sub Search at level 2: Moving to Node #0,3,1,0
Current State: 57:[19, 18], Operations: ['90-52=38', '38/2=19', '66-48=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,57 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1,1
Current State: 57:[66, 67], Operations: ['90-52=38', '38/2=19', '48+19=67']
Exploring Operation: 66*67=4422, Resulting Numbers: [4422]
4422,57 unequal: No Solution
Exploring Operation: 66+67=133, Resulting Numbers: [133]
133,57 unequal: No Solution
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1,2
Current State: 57:[48, 47], Operations: ['90-52=38', '38/2=19', '66-19=47']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1,3
Current State: 57:[66, 29], Operations: ['90-52=38', '38/2=19', '48-19=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,57 unequal: No Solution
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 57:[48, 2, 28], Operations: ['90-52=38', '66-38=28']
Exploring Operation: 48/2=24, Resulting Numbers: [28, 24]
Generated Node #0,3,2,0: 57:[28, 24] Operation: 48/2=24
Exploring Operation: 28/2=14, Resulting Numbers: [48, 14]
Generated Node #0,3,2,1: 57:[48, 14] Operation: 28/2=14
Exploring Operation: 48-28=20, Resulting Numbers: [2, 20]
Generated Node #0,3,2,2: 57:[2, 20] Operation: 48-28=20
Exploring Operation: 2*28=56, Resulting Numbers: [48, 56]
Generated Node #0,3,2,3: 57:[48, 56] Operation: 2*28=56
Moving to Node #0,3,2,2
Current State: 57:[2, 20], Operations: ['90-52=38', '66-38=28', '48-28=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,57 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Moving to Node #0,3,2,3
Current State: 57:[48, 56], Operations: ['90-52=38', '66-38=28', '2*28=56']
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,57 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,57 unequal: No Solution
Moving to Node #0,3,2,1
Current State: 57:[48, 14], Operations: ['90-52=38', '66-38=28', '28/2=14']
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,57 unequal: No Solution
Exploring Operation: 48*14=672, Resulting Numbers: [672]
672,57 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,57 unequal: No Solution
Moving to Node #0,3,2,0
Current State: 57:[28, 24], Operations: ['90-52=38', '66-38=28', '48/2=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 57:[2, 38, 18], Operations: ['90-52=38', '66-48=18']
Exploring Operation: 38-18=20, Resulting Numbers: [2, 20]
Generated Node #0,3,3,0: 57:[2, 20] Operation: 38-18=20
Exploring Operation: 2+38=40, Resulting Numbers: [18, 40]
Generated Node #0,3,3,1: 57:[18, 40] Operation: 2+38=40
Exploring Operation: 38+18=56, Resulting Numbers: [2, 56]
Generated Node #0,3,3,2: 57:[2, 56] Operation: 38+18=56
Exploring Operation: 38/2=19, Resulting Numbers: [18, 19]
Generated Node #0,3,3,3: 57:[18, 19] Operation: 38/2=19
Start Sub Search at level 2: Moving to Node #0,3,3,3
Current State: 57:[18, 19], Operations: ['90-52=38', '66-48=18', '38/2=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,57 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3,0
Current State: 57:[2, 20], Operations: ['90-52=38', '66-48=18', '38-18=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,57 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3,2
Current State: 57:[2, 56], Operations: ['90-52=38', '66-48=18', '38+18=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3,1
Current State: 57:[18, 40], Operations: ['90-52=38', '66-48=18', '2+38=40']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,57 unequal: No Solution
Exploring Operation: 18*40=720, Resulting Numbers: [720]
720,57 unequal: No Solution
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 57:[52, 2, 24], Operations: ['90-48=42', '66-42=24']
Exploring Operation: 52+2=54, Resulting Numbers: [24, 54]
Generated Node #0,0,2,0: 57:[24, 54] Operation: 52+2=54
Exploring Operation: 52-24=28, Resulting Numbers: [2, 28]
Generated Node #0,0,2,1: 57:[2, 28] Operation: 52-24=28
Exploring Operation: 52-2=50, Resulting Numbers: [24, 50]
Generated Node #0,0,2,2: 57:[24, 50] Operation: 52-2=50
Exploring Operation: 24-2=22, Resulting Numbers: [52, 22]
Generated Node #0,0,2,3: 57:[52, 22] Operation: 24-2=22
Start Sub Search at level 1: Moving to Node #0,0,2,0
Current State: 57:[24, 54], Operations: ['90-48=42', '66-42=24', '52+2=54']
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,57 unequal: No Solution
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,3
Current State: 57:[52, 22], Operations: ['90-48=42', '66-42=24', '24-2=22']
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,57 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,1
Current State: 57:[2, 28], Operations: ['90-48=42', '66-42=24', '52-24=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,2
Current State: 57:[24, 50], Operations: ['90-48=42', '66-42=24', '52-2=50']
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,57 unequal: No Solution
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 57:[52, 66, 3], Operations: ['90/2=45', '48-45=3']
Exploring Operation: 66-52=14, Resulting Numbers: [3, 14]
Generated Node #0,1,2,0: 57:[3, 14] Operation: 66-52=14
Exploring Operation: 66-3=63, Resulting Numbers: [52, 63]
Generated Node #0,1,2,1: 57:[52, 63] Operation: 66-3=63
Exploring Operation: 52+3=55, Resulting Numbers: [66, 55]
Generated Node #0,1,2,2: 57:[66, 55] Operation: 52+3=55
Exploring Operation: 66/3=22, Resulting Numbers: [52, 22]
Generated Node #0,1,2,3: 57:[52, 22] Operation: 66/3=22
Start Sub Search at level 1: Moving to Node #0,1,2,0
Current State: 57:[3, 14], Operations: ['90/2=45', '48-45=3', '66-52=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,57 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,57 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2,3
Current State: 57:[52, 22], Operations: ['90/2=45', '48-45=3', '66/3=22']
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,57 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2,1
Current State: 57:[52, 63], Operations: ['90/2=45', '48-45=3', '66-3=63']
Exploring Operation: 52+63=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 52*63=3276, Resulting Numbers: [3276]
3276,57 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2,2
Current State: 57:[66, 55], Operations: ['90/2=45', '48-45=3', '52+3=55']
Exploring Operation: 66+55=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,57 unequal: No Solution
Exploring Operation: 66*55=3630, Resulting Numbers: [3630]
3630,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 57:[52, 48, 21], Operations: ['90/2=45', '66-45=21']
Exploring Operation: 52-48=4, Resulting Numbers: [21, 4]
Generated Node #0,1,1,0: 57:[21, 4] Operation: 52-48=4
Exploring Operation: 52-21=31, Resulting Numbers: [48, 31]
Generated Node #0,1,1,1: 57:[48, 31] Operation: 52-21=31
Exploring Operation: 48-21=27, Resulting Numbers: [52, 27]
Generated Node #0,1,1,2: 57:[52, 27] Operation: 48-21=27
Exploring Operation: 48+21=69, Resulting Numbers: [52, 69]
Generated Node #0,1,1,3: 57:[52, 69] Operation: 48+21=69
Start Sub Search at level 1: Moving to Node #0,1,1,0
Current State: 57:[21, 4], Operations: ['90/2=45', '66-45=21', '52-48=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1,2
Current State: 57:[52, 27], Operations: ['90/2=45', '66-45=21', '48-21=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1,3
Current State: 57:[52, 69], Operations: ['90/2=45', '66-45=21', '48+21=69']
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 52+69=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 52*69=3588, Resulting Numbers: [3588]
3588,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1,1
Current State: 57:[48, 31], Operations: ['90/2=45', '66-45=21', '52-21=31']
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,57 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 57:[52, 66, 21], Operations: ['90-48=42', '42/2=21']
Exploring Operation: 66-21=45, Resulting Numbers: [52, 45]
Generated Node #0,0,3,0: 57:[52, 45] Operation: 66-21=45
Exploring Operation: 66-52=14, Resulting Numbers: [21, 14]
Generated Node #0,0,3,1: 57:[21, 14] Operation: 66-52=14
Exploring Operation: 52+21=73, Resulting Numbers: [66, 73]
Generated Node #0,0,3,2: 57:[66, 73] Operation: 52+21=73
Exploring Operation: 52-21=31, Resulting Numbers: [66, 31]
Generated Node #0,0,3,3: 57:[66, 31] Operation: 52-21=31
Moving to Node #0,0,3,1
Current State: 57:[21, 14], Operations: ['90-48=42', '42/2=21', '66-52=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,57 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Moving to Node #0,0,3,0
Current State: 57:[52, 45], Operations: ['90-48=42', '42/2=21', '66-21=45']
Exploring Operation: 52-45=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 52+45=97, Resulting Numbers: [97]
97,57 unequal: No Solution
Exploring Operation: 52*45=2340, Resulting Numbers: [2340]
2340,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[66, 2, 10], Operations: ['90-48=42', '52-42=10']
Exploring Operation: 66-2=64, Resulting Numbers: [10, 64]
Generated Node #0,0,0,0: 57:[10, 64] Operation: 66-2=64
Exploring Operation: 66-10=56, Resulting Numbers: [2, 56]
Generated Node #0,0,0,1: 57:[2, 56] Operation: 66-10=56
Exploring Operation: 2*10=20, Resulting Numbers: [66, 20]
Generated Node #0,0,0,2: 57:[66, 20] Operation: 2*10=20
Exploring Operation: 10/2=5, Resulting Numbers: [66, 5]
Generated Node #0,0,0,3: 57:[66, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,0,0,1
Current State: 57:[2, 56], Operations: ['90-48=42', '52-42=10', '66-10=56']
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,57 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,2
Current State: 57:[66, 20], Operations: ['90-48=42', '52-42=10', '2*10=20']
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,57 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,57 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,3
Current State: 57:[66, 5], Operations: ['90-48=42', '52-42=10', '10/2=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,57 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,0
Current State: 57:[10, 64], Operations: ['90-48=42', '52-42=10', '66-2=64']
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 10*64=640, Resulting Numbers: [640]
640,57 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 57:[52, 45, 18], Operations: ['90/2=45', '66-48=18']
Exploring Operation: 52-45=7, Resulting Numbers: [18, 7]
Generated Node #0,1,3,0: 57:[18, 7] Operation: 52-45=7
Exploring Operation: 45-18=27, Resulting Numbers: [52, 27]
Generated Node #0,1,3,1: 57:[52, 27] Operation: 45-18=27
Exploring Operation: 52+18=70, Resulting Numbers: [45, 70]
Generated Node #0,1,3,2: 57:[45, 70] Operation: 52+18=70
Exploring Operation: 45+18=63, Resulting Numbers: [52, 63]
Generated Node #0,1,3,3: 57:[52, 63] Operation: 45+18=63
Moving to Node #0,1,3,0
Current State: 57:[18, 7], Operations: ['90/2=45', '66-48=18', '52-45=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,57 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,57 unequal: No Solution
Moving to Node #0,1,3,3
Current State: 57:[52, 63], Operations: ['90/2=45', '66-48=18', '45+18=63']
Exploring Operation: 52*63=3276, Resulting Numbers: [3276]
3276,57 unequal: No Solution
Exploring Operation: 52+63=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,57 unequal: No Solution
Moving to Node #0,1,3,1
Current State: 57:[52, 27], Operations: ['90/2=45', '66-48=18', '45-18=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,57 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,57 unequal: No Solution
Moving to Node #0,0,3,3
Current State: 57:[66, 31], Operations: ['90-48=42', '42/2=21', '52-21=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 66*31=2046, Resulting Numbers: [2046]
2046,57 unequal: No Solution
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[2, 42, 14], Operations: ['90-48=42', '66-52=14']
Exploring Operation: 42-14=28, Resulting Numbers: [2, 28]
Generated Node #0,0,1,0: 57:[2, 28] Operation: 42-14=28
Exploring Operation: 42+14=56, Resulting Numbers: [2, 56]
Generated Node #0,0,1,1: 57:[2, 56] Operation: 42+14=56
Exploring Operation: 42/2=21, Resulting Numbers: [14, 21]
Generated Node #0,0,1,2: 57:[14, 21] Operation: 42/2=21
Exploring Operation: 42/14=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1,3: 57:[2, 3] Operation: 42/14=3
Start Sub Search at level 1: Moving to Node #0,0,1,3
Current State: 57:[2, 3], Operations: ['90-48=42', '66-52=14', '42/14=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1,1
Current State: 57:[2, 56], Operations: ['90-48=42', '66-52=14', '42+14=56']
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,57 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1,2
Current State: 57:[14, 21], Operations: ['90-48=42', '66-52=14', '42/2=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,57 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,57 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1,0
Current State: 57:[2, 28], Operations: ['90-48=42', '66-52=14', '42-14=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 57:[66, 45, 4], Operations: ['90/2=45', '52-48=4']
Exploring Operation: 45+4=49, Resulting Numbers: [66, 49]
Generated Node #0,1,0,0: 57:[66, 49] Operation: 45+4=49
Exploring Operation: 66-4=62, Resulting Numbers: [45, 62]
Generated Node #0,1,0,1: 57:[45, 62] Operation: 66-4=62
Exploring Operation: 66-45=21, Resulting Numbers: [4, 21]
Generated Node #0,1,0,2: 57:[4, 21] Operation: 66-45=21
Exploring Operation: 66+4=70, Resulting Numbers: [45, 70]
Generated Node #0,1,0,3: 57:[45, 70] Operation: 66+4=70
Moving to Node #0,1,3,2
Current State: 57:[45, 70], Operations: ['90/2=45', '66-48=18', '52+18=70']
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,57 unequal: No Solution
Moving to Node #0,0,3,2
Current State: 57:[66, 73], Operations: ['90-48=42', '42/2=21', '52+21=73']
Exploring Operation: 66+73=139, Resulting Numbers: [139]
139,57 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 66*73=4818, Resulting Numbers: [4818]
4818,57 unequal: No Solution
Moving to Node #0,1,0,2
Current State: 57:[4, 21], Operations: ['90/2=45', '52-48=4', '66-45=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Moving to Node #0,1,0,1
Current State: 57:[45, 62], Operations: ['90/2=45', '52-48=4', '66-4=62']
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,57 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,57 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 57:[66, 49], Operations: ['90/2=45', '52-48=4', '45+4=49']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 66+49=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 66*49=3234, Resulting Numbers: [3234]
3234,57 unequal: No Solution
Moving to Node #0,1,0,3
Current State: 57:[45, 70], Operations: ['90/2=45', '52-48=4', '66+4=70']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,57 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic | 4 | 18,922 |
[
5,
3,
17,
73,
4
] | 93 | [
"5+4=9",
"9/3=3",
"17+73=90",
"3+90=93"
] | Current State: 93:[5, 3, 17, 73, 4], Operations: []
Exploring Operation: 5+4=9, Resulting Numbers: [3, 17, 73, 9]
Generated Node #2: [3, 17, 73, 9] from Operation: 5+4=9
Current State: 93:[3, 17, 73, 9], Operations: ['5+4=9']
Exploring Operation: 9/3=3, Resulting Numbers: [17, 73, 3]
Generated Node #3: [17, 73, 3] from Operation: 9/3=3
Current State: 93:[17, 73, 3], Operations: ['5+4=9', '9/3=3']
Exploring Operation: 17+73=90, Resulting Numbers: [3, 90]
Generated Node #4: [3, 90] from Operation: 17+73=90
Current State: 93:[3, 90], Operations: ['5+4=9', '9/3=3', '17+73=90']
Exploring Operation: 3+90=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 5 | Current State: 93:[5, 3, 17, 73, 4], Operations: []
Exploring Operation: 17+73=90, Resulting Numbers: [5, 3, 4, 90]
Generated Node #0,0: 93:[5, 3, 4, 90] Operation: 17+73=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[5, 3, 4, 90], Operations: ['17+73=90']
Exploring Operation: 5+90=95, Resulting Numbers: [3, 4, 95]
Generated Node #0,0,0: 93:[3, 4, 95] Operation: 5+90=95
Moving to Node #0,0,0
Current State: 93:[3, 4, 95], Operations: ['17+73=90', '5+90=95']
Exploring Operation: 95-3=92, Resulting Numbers: [4, 92]
Generated Node #0,0,0,0: 93:[4, 92] Operation: 95-3=92
Moving to Node #0,0,0,0
Current State: 93:[4, 92], Operations: ['17+73=90', '5+90=95', '95-3=92']
Exploring Operation: 4+92=96, Resulting Numbers: [96]
96,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic | 1 | 440 |
[
2,
36,
57,
68,
67
] | 57 | [
"2*57=114",
"36+68=104",
"114-67=47",
"104-47=57"
] | Current State: 57:[2, 36, 57, 68, 67], Operations: []
Exploring Operation: 2*57=114, Resulting Numbers: [36, 68, 67, 114]
Generated Node #2: [36, 68, 67, 114] from Operation: 2*57=114
Current State: 57:[36, 68, 67, 114], Operations: ['2*57=114']
Exploring Operation: 36+68=104, Resulting Numbers: [67, 114, 104]
Generated Node #3: [67, 114, 104] from Operation: 36+68=104
Current State: 57:[67, 114, 104], Operations: ['2*57=114', '36+68=104']
Exploring Operation: 114-67=47, Resulting Numbers: [104, 47]
Generated Node #4: [104, 47] from Operation: 114-67=47
Current State: 57:[104, 47], Operations: ['2*57=114', '36+68=104', '114-67=47']
Exploring Operation: 104-47=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 5 | Current State: 57:[2, 36, 57, 68, 67], Operations: []
Exploring Operation: 68-67=1, Resulting Numbers: [2, 36, 57, 1]
Generated Node #0,0: 57:[2, 36, 57, 1] Operation: 68-67=1
Exploring Operation: 36/2=18, Resulting Numbers: [57, 68, 67, 18]
Generated Node #0,1: 57:[57, 68, 67, 18] Operation: 36/2=18
Moving to Node #0,0
Current State: 57:[2, 36, 57, 1], Operations: ['68-67=1']
Exploring Operation: 57-36=21, Resulting Numbers: [2, 1, 21]
Generated Node #0,0,0: 57:[2, 1, 21] Operation: 57-36=21
Exploring Operation: 36/2=18, Resulting Numbers: [57, 1, 18]
Generated Node #0,0,1: 57:[57, 1, 18] Operation: 36/2=18
Moving to Node #0,1
Current State: 57:[57, 68, 67, 18], Operations: ['36/2=18']
Exploring Operation: 68-67=1, Resulting Numbers: [57, 18, 1]
Generated Node #0,1,0: 57:[57, 18, 1] Operation: 68-67=1
Exploring Operation: 68-18=50, Resulting Numbers: [57, 67, 50]
Generated Node #0,1,1: 57:[57, 67, 50] Operation: 68-18=50
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[57, 18, 1], Operations: ['36/2=18', '68-67=1']
Exploring Operation: 18+1=19, Resulting Numbers: [57, 19]
Generated Node #0,1,0,0: 57:[57, 19] Operation: 18+1=19
Exploring Operation: 57*1=57, Resulting Numbers: [18, 57]
Generated Node #0,1,0,1: 57:[18, 57] Operation: 57*1=57
Start Sub Search at level 2: Moving to Node #0,1,0,0
Current State: 57:[57, 19], Operations: ['36/2=18', '68-67=1', '18+1=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,57 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0,1
Current State: 57:[18, 57], Operations: ['36/2=18', '68-67=1', '57*1=57']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,57 unequal: No Solution
Exploring Operation: 18+57=75, Resulting Numbers: [75]
75,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[57, 67, 50], Operations: ['36/2=18', '68-18=50']
Exploring Operation: 67-57=10, Resulting Numbers: [50, 10]
Generated Node #0,1,1,0: 57:[50, 10] Operation: 67-57=10
Exploring Operation: 67-50=17, Resulting Numbers: [57, 17]
Generated Node #0,1,1,1: 57:[57, 17] Operation: 67-50=17
Moving to Node #0,1,1,1
Current State: 57:[57, 17], Operations: ['36/2=18', '68-18=50', '67-50=17']
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,57 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,57 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 57:[50, 10], Operations: ['36/2=18', '68-18=50', '67-57=10']
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,57 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 57:[57, 1, 18], Operations: ['68-67=1', '36/2=18']
Exploring Operation: 1+18=19, Resulting Numbers: [57, 19]
Generated Node #0,0,1,0: 57:[57, 19] Operation: 1+18=19
Exploring Operation: 57*1=57, Resulting Numbers: [18, 57]
Generated Node #0,0,1,1: 57:[18, 57] Operation: 57*1=57
Moving to Node #0,0,0
Current State: 57:[2, 1, 21], Operations: ['68-67=1', '57-36=21']
Exploring Operation: 21-2=19, Resulting Numbers: [1, 19]
Generated Node #0,0,0,0: 57:[1, 19] Operation: 21-2=19
Exploring Operation: 2+1=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0,1: 57:[21, 3] Operation: 2+1=3
Start Sub Search at level 1: Moving to Node #0,0,0,0
Current State: 57:[1, 19], Operations: ['68-67=1', '57-36=21', '21-2=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,1
Current State: 57:[21, 3], Operations: ['68-67=1', '57-36=21', '2+1=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1,0
Current State: 57:[57, 19], Operations: ['68-67=1', '36/2=18', '1+18=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,57 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Moving to Node #0,0,1,1
Current State: 57:[18, 57], Operations: ['68-67=1', '36/2=18', '57*1=57']
Exploring Operation: 18+57=75, Resulting Numbers: [75]
75,57 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,57 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic | 2 | 2,410 |
[
75,
3,
49,
7,
82
] | 16 | [
"75+7=82",
"82/82=1",
"49-1=48",
"48/3=16"
] | Current State: 16:[75, 3, 49, 7, 82], Operations: []
Exploring Operation: 75+7=82, Resulting Numbers: [3, 49, 82, 82]
Generated Node #2: [3, 49, 82, 82] from Operation: 75+7=82
Current State: 16:[3, 49, 82, 82], Operations: ['75+7=82']
Exploring Operation: 82/82=1, Resulting Numbers: [3, 49, 1]
Generated Node #3: [3, 49, 1] from Operation: 82/82=1
Current State: 16:[3, 49, 1], Operations: ['75+7=82', '82/82=1']
Exploring Operation: 49-1=48, Resulting Numbers: [3, 48]
Generated Node #4: [3, 48] from Operation: 49-1=48
Current State: 16:[3, 48], Operations: ['75+7=82', '82/82=1', '49-1=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 5 | Current State: 16:[75, 3, 49, 7, 82], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [3, 49, 7, 7]
Generated Node #0,0: 16:[3, 49, 7, 7] Operation: 82-75=7
Exploring Operation: 75-49=26, Resulting Numbers: [3, 7, 82, 26]
Generated Node #0,1: 16:[3, 7, 82, 26] Operation: 75-49=26
Exploring Operation: 82-49=33, Resulting Numbers: [75, 3, 7, 33]
Generated Node #0,2: 16:[75, 3, 7, 33] Operation: 82-49=33
Moving to Node #0,0
Current State: 16:[3, 49, 7, 7], Operations: ['82-75=7']
Exploring Operation: 49/7=7, Resulting Numbers: [3, 7, 7]
Generated Node #0,0,0: 16:[3, 7, 7] Operation: 49/7=7
Exploring Operation: 49/7=7, Resulting Numbers: [3, 7, 7]
Generated Node #0,0,1: 16:[3, 7, 7] Operation: 49/7=7
Exploring Operation: 49-7=42, Resulting Numbers: [3, 7, 42]
Generated Node #0,0,2: 16:[3, 7, 42] Operation: 49-7=42
Moving to Node #0,1
Current State: 16:[3, 7, 82, 26], Operations: ['75-49=26']
Exploring Operation: 26-7=19, Resulting Numbers: [3, 82, 19]
Generated Node #0,1,0: 16:[3, 82, 19] Operation: 26-7=19
Exploring Operation: 82-7=75, Resulting Numbers: [3, 26, 75]
Generated Node #0,1,1: 16:[3, 26, 75] Operation: 82-7=75
Exploring Operation: 82-26=56, Resulting Numbers: [3, 7, 56]
Generated Node #0,1,2: 16:[3, 7, 56] Operation: 82-26=56
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[3, 7, 56], Operations: ['75-49=26', '82-26=56']
Exploring Operation: 56-3=53, Resulting Numbers: [7, 53]
Generated Node #0,1,2,0: 16:[7, 53] Operation: 56-3=53
Exploring Operation: 56-7=49, Resulting Numbers: [3, 49]
Generated Node #0,1,2,1: 16:[3, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [3, 8]
Generated Node #0,1,2,2: 16:[3, 8] Operation: 56/7=8
Start Sub Search at level 2: Moving to Node #0,1,2,2
Current State: 16:[3, 8], Operations: ['75-49=26', '82-26=56', '56/7=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2,1
Current State: 16:[3, 49], Operations: ['75-49=26', '82-26=56', '56-7=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2,0
Current State: 16:[7, 53], Operations: ['75-49=26', '82-26=56', '56-3=53']
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 7*53=371, Resulting Numbers: [371]
371,16 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[3, 82, 19], Operations: ['75-49=26', '26-7=19']
Exploring Operation: 82-19=63, Resulting Numbers: [3, 63]
Generated Node #0,1,0,0: 16:[3, 63] Operation: 82-19=63
Exploring Operation: 19-3=16, Resulting Numbers: [82, 16]
Generated Node #0,1,0,1: 16:[82, 16] Operation: 19-3=16
Exploring Operation: 82-3=79, Resulting Numbers: [19, 79]
Generated Node #0,1,0,2: 16:[19, 79] Operation: 82-3=79
Start Sub Search at level 2: Moving to Node #0,1,0,0
Current State: 16:[3, 63], Operations: ['75-49=26', '26-7=19', '82-19=63']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0,1
Current State: 16:[82, 16], Operations: ['75-49=26', '26-7=19', '19-3=16']
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,16 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,16 unequal: No Solution
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0,2
Current State: 16:[19, 79], Operations: ['75-49=26', '26-7=19', '82-3=79']
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 19*79=1501, Resulting Numbers: [1501]
1501,16 unequal: No Solution
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[3, 26, 75], Operations: ['75-49=26', '82-7=75']
Exploring Operation: 26-3=23, Resulting Numbers: [75, 23]
Generated Node #0,1,1,0: 16:[75, 23] Operation: 26-3=23
Exploring Operation: 75/3=25, Resulting Numbers: [26, 25]
Generated Node #0,1,1,1: 16:[26, 25] Operation: 75/3=25
Exploring Operation: 75-26=49, Resulting Numbers: [3, 49]
Generated Node #0,1,1,2: 16:[3, 49] Operation: 75-26=49
Moving to Node #0,1,1,1
Current State: 16:[26, 25], Operations: ['75-49=26', '82-7=75', '75/3=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,16 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Moving to Node #0,1,1,2
Current State: 16:[3, 49], Operations: ['75-49=26', '82-7=75', '75-26=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,16 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 16:[75, 23], Operations: ['75-49=26', '82-7=75', '26-3=23']
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 75*23=1725, Resulting Numbers: [1725]
1725,16 unequal: No Solution
Exploring Operation: 75+23=98, Resulting Numbers: [98]
98,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 16:[75, 3, 7, 33], Operations: ['82-49=33']
Exploring Operation: 75/3=25, Resulting Numbers: [7, 33, 25]
Generated Node #0,2,0: 16:[7, 33, 25] Operation: 75/3=25
Exploring Operation: 75-33=42, Resulting Numbers: [3, 7, 42]
Generated Node #0,2,1: 16:[3, 7, 42] Operation: 75-33=42
Exploring Operation: 33/3=11, Resulting Numbers: [75, 7, 11]
Generated Node #0,2,2: 16:[75, 7, 11] Operation: 33/3=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[7, 33, 25], Operations: ['82-49=33', '75/3=25']
Exploring Operation: 25-7=18, Resulting Numbers: [33, 18]
Generated Node #0,2,0,0: 16:[33, 18] Operation: 25-7=18
Exploring Operation: 33-25=8, Resulting Numbers: [7, 8]
Generated Node #0,2,0,1: 16:[7, 8] Operation: 33-25=8
Exploring Operation: 33-7=26, Resulting Numbers: [25, 26]
Generated Node #0,2,0,2: 16:[25, 26] Operation: 33-7=26
Moving to Node #0,2,0,1
Current State: 16:[7, 8], Operations: ['82-49=33', '75/3=25', '33-25=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 16:[33, 18], Operations: ['82-49=33', '75/3=25', '25-7=18']
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,16 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Moving to Node #0,2,0,2
Current State: 16:[25, 26], Operations: ['82-49=33', '75/3=25', '33-7=26']
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[3, 7, 42], Operations: ['82-49=33', '75-33=42']
Exploring Operation: 42/3=14, Resulting Numbers: [7, 14]
Generated Node #0,2,1,0: 16:[7, 14] Operation: 42/3=14
Exploring Operation: 42-7=35, Resulting Numbers: [3, 35]
Generated Node #0,2,1,1: 16:[3, 35] Operation: 42-7=35
Exploring Operation: 42/7=6, Resulting Numbers: [3, 6]
Generated Node #0,2,1,2: 16:[3, 6] Operation: 42/7=6
Moving to Node #0,2,1,0
Current State: 16:[7, 14], Operations: ['82-49=33', '75-33=42', '42/3=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Moving to Node #0,2,1,2
Current State: 16:[3, 6], Operations: ['82-49=33', '75-33=42', '42/7=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Moving to Node #0,2,1,1
Current State: 16:[3, 35], Operations: ['82-49=33', '75-33=42', '42-7=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[75, 7, 11], Operations: ['82-49=33', '33/3=11']
Exploring Operation: 11-7=4, Resulting Numbers: [75, 4]
Generated Node #0,2,2,0: 16:[75, 4] Operation: 11-7=4
Exploring Operation: 75-7=68, Resulting Numbers: [11, 68]
Generated Node #0,2,2,1: 16:[11, 68] Operation: 75-7=68
Exploring Operation: 75-11=64, Resulting Numbers: [7, 64]
Generated Node #0,2,2,2: 16:[7, 64] Operation: 75-11=64
Start Sub Search at level 2: Moving to Node #0,2,2,2
Current State: 16:[7, 64], Operations: ['82-49=33', '33/3=11', '75-11=64']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 7*64=448, Resulting Numbers: [448]
448,16 unequal: No Solution
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,1
Current State: 16:[11, 68], Operations: ['82-49=33', '33/3=11', '75-7=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 11*68=748, Resulting Numbers: [748]
748,16 unequal: No Solution
Exploring Operation: 11+68=79, Resulting Numbers: [79]
79,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,0
Current State: 16:[75, 4], Operations: ['82-49=33', '33/3=11', '11-7=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 16:[3, 7, 7], Operations: ['82-75=7', '49/7=7']
Exploring Operation: 7-3=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0,0: 16:[7, 4] Operation: 7-3=4
Exploring Operation: 7-3=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0,1: 16:[7, 4] Operation: 7-3=4
Exploring Operation: 7/7=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0,2: 16:[3, 1] Operation: 7/7=1
Moving to Node #0,0,1
Current State: 16:[3, 7, 7], Operations: ['82-75=7', '49/7=7']
Exploring Operation: 7/7=1, Resulting Numbers: [3, 1]
Generated Node #0,0,1,0: 16:[3, 1] Operation: 7/7=1
Exploring Operation: 7-3=4, Resulting Numbers: [7, 4]
Generated Node #0,0,1,1: 16:[7, 4] Operation: 7-3=4
Exploring Operation: 7-3=4, Resulting Numbers: [7, 4]
Generated Node #0,0,1,2: 16:[7, 4] Operation: 7-3=4
Moving to Node #0,0,2
Current State: 16:[3, 7, 42], Operations: ['82-75=7', '49-7=42']
Exploring Operation: 42-7=35, Resulting Numbers: [3, 35]
Generated Node #0,0,2,0: 16:[3, 35] Operation: 42-7=35
Exploring Operation: 42/7=6, Resulting Numbers: [3, 6]
Generated Node #0,0,2,1: 16:[3, 6] Operation: 42/7=6
Exploring Operation: 42/3=14, Resulting Numbers: [7, 14]
Generated Node #0,0,2,2: 16:[7, 14] Operation: 42/3=14
Start Sub Search at level 1: Moving to Node #0,0,2,1
Current State: 16:[3, 6], Operations: ['82-75=7', '49-7=42', '42/7=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,2
Current State: 16:[7, 14], Operations: ['82-75=7', '49-7=42', '42/3=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,0
Current State: 16:[3, 35], Operations: ['82-75=7', '49-7=42', '42-7=35']
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0,0
Current State: 16:[7, 4], Operations: ['82-75=7', '49/7=7', '7-3=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,0,0,1
Current State: 16:[7, 4], Operations: ['82-75=7', '49/7=7', '7-3=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Moving to Node #0,0,1,2
Current State: 16:[7, 4], Operations: ['82-75=7', '49/7=7', '7-3=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,0,1,1
Current State: 16:[7, 4], Operations: ['82-75=7', '49/7=7', '7-3=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 16:[3, 1], Operations: ['82-75=7', '49/7=7', '7/7=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Moving to Node #0,0,0,2
Current State: 16:[3, 1], Operations: ['82-75=7', '49/7=7', '7/7=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,16 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic | 3 | 7,804 |
[
31,
43,
16,
85,
62
] | 84 | [
"43-31=12",
"85-16=69",
"69-62=7",
"12*7=84"
] | Current State: 84:[31, 43, 16, 85, 62], Operations: []
Exploring Operation: 43-31=12, Resulting Numbers: [16, 85, 62, 12]
Generated Node #2: [16, 85, 62, 12] from Operation: 43-31=12
Current State: 84:[16, 85, 62, 12], Operations: ['43-31=12']
Exploring Operation: 85-16=69, Resulting Numbers: [62, 12, 69]
Generated Node #3: [62, 12, 69] from Operation: 85-16=69
Current State: 84:[62, 12, 69], Operations: ['43-31=12', '85-16=69']
Exploring Operation: 69-62=7, Resulting Numbers: [12, 7]
Generated Node #4: [12, 7] from Operation: 69-62=7
Current State: 84:[12, 7], Operations: ['43-31=12', '85-16=69', '69-62=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 5 | Current State: 84:[31, 43, 16, 85, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [43, 16, 85, 2]
Generated Node #0,0: 84:[43, 16, 85, 2] Operation: 62/31=2
Exploring Operation: 85-62=23, Resulting Numbers: [31, 43, 16, 23]
Generated Node #0,1: 84:[31, 43, 16, 23] Operation: 85-62=23
Exploring Operation: 62-43=19, Resulting Numbers: [31, 16, 85, 19]
Generated Node #0,2: 84:[31, 16, 85, 19] Operation: 62-43=19
Exploring Operation: 62-31=31, Resulting Numbers: [43, 16, 85, 31]
Generated Node #0,3: 84:[43, 16, 85, 31] Operation: 62-31=31
Exploring Operation: 62-16=46, Resulting Numbers: [31, 43, 85, 46]
Generated Node #0,4: 84:[31, 43, 85, 46] Operation: 62-16=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[43, 16, 85, 2], Operations: ['62/31=2']
Exploring Operation: 16-2=14, Resulting Numbers: [43, 85, 14]
Generated Node #0,0,0: 84:[43, 85, 14] Operation: 16-2=14
Exploring Operation: 85-43=42, Resulting Numbers: [16, 2, 42]
Generated Node #0,0,1: 84:[16, 2, 42] Operation: 85-43=42
Exploring Operation: 43-2=41, Resulting Numbers: [16, 85, 41]
Generated Node #0,0,2: 84:[16, 85, 41] Operation: 43-2=41
Exploring Operation: 43-16=27, Resulting Numbers: [85, 2, 27]
Generated Node #0,0,3: 84:[85, 2, 27] Operation: 43-16=27
Exploring Operation: 16/2=8, Resulting Numbers: [43, 85, 8]
Generated Node #0,0,4: 84:[43, 85, 8] Operation: 16/2=8
Moving to Node #0,0,0
Current State: 84:[43, 85, 14], Operations: ['62/31=2', '16-2=14']
Exploring Operation: 85+14=99, Resulting Numbers: [43, 99]
Generated Node #0,0,0,0: 84:[43, 99] Operation: 85+14=99
Exploring Operation: 43+14=57, Resulting Numbers: [85, 57]
Generated Node #0,0,0,1: 84:[85, 57] Operation: 43+14=57
Exploring Operation: 85-14=71, Resulting Numbers: [43, 71]
Generated Node #0,0,0,2: 84:[43, 71] Operation: 85-14=71
Exploring Operation: 85-43=42, Resulting Numbers: [14, 42]
Generated Node #0,0,0,3: 84:[14, 42] Operation: 85-43=42
Exploring Operation: 43-14=29, Resulting Numbers: [85, 29]
Generated Node #0,0,0,4: 84:[85, 29] Operation: 43-14=29
Start Sub Search at level 2: Moving to Node #0,0,0,3
Current State: 84:[14, 42], Operations: ['62/31=2', '16-2=14', '85-43=42']
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 14*42=588, Resulting Numbers: [588]
588,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,4
Current State: 84:[85, 29], Operations: ['62/31=2', '16-2=14', '43-14=29']
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,84 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,2
Current State: 84:[43, 71], Operations: ['62/31=2', '16-2=14', '85-14=71']
Exploring Operation: 43+71=114, Resulting Numbers: [114]
114,84 unequal: No Solution
Exploring Operation: 43*71=3053, Resulting Numbers: [3053]
3053,84 unequal: No Solution
Exploring Operation: 71-43=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,0
Current State: 84:[43, 99], Operations: ['62/31=2', '16-2=14', '85+14=99']
Exploring Operation: 99-43=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 43*99=4257, Resulting Numbers: [4257]
4257,84 unequal: No Solution
Exploring Operation: 43+99=142, Resulting Numbers: [142]
142,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,1
Current State: 84:[85, 57], Operations: ['62/31=2', '16-2=14', '43+14=57']
Exploring Operation: 85-57=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 85*57=4845, Resulting Numbers: [4845]
4845,84 unequal: No Solution
Exploring Operation: 85+57=142, Resulting Numbers: [142]
142,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Moving to Node #0,0,3
Current State: 84:[85, 2, 27], Operations: ['62/31=2', '43-16=27']
Exploring Operation: 27-2=25, Resulting Numbers: [85, 25]
Generated Node #0,0,3,0: 84:[85, 25] Operation: 27-2=25
Exploring Operation: 2+27=29, Resulting Numbers: [85, 29]
Generated Node #0,0,3,1: 84:[85, 29] Operation: 2+27=29
Exploring Operation: 2*27=54, Resulting Numbers: [85, 54]
Generated Node #0,0,3,2: 84:[85, 54] Operation: 2*27=54
Exploring Operation: 85+2=87, Resulting Numbers: [27, 87]
Generated Node #0,0,3,3: 84:[27, 87] Operation: 85+2=87
Exploring Operation: 85-2=83, Resulting Numbers: [27, 83]
Generated Node #0,0,3,4: 84:[27, 83] Operation: 85-2=83
Start Sub Search at level 2: Moving to Node #0,0,3,1
Current State: 84:[85, 29], Operations: ['62/31=2', '43-16=27', '2+27=29']
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,84 unequal: No Solution
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3,4
Current State: 84:[27, 83], Operations: ['62/31=2', '43-16=27', '85-2=83']
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,84 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3,0
Current State: 84:[85, 25], Operations: ['62/31=2', '43-16=27', '27-2=25']
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,84 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3,3
Current State: 84:[27, 87], Operations: ['62/31=2', '43-16=27', '85+2=87']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 27+87=114, Resulting Numbers: [114]
114,84 unequal: No Solution
Exploring Operation: 27*87=2349, Resulting Numbers: [2349]
2349,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3,2
Current State: 84:[85, 54], Operations: ['62/31=2', '43-16=27', '2*27=54']
Exploring Operation: 85+54=139, Resulting Numbers: [139]
139,84 unequal: No Solution
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 85*54=4590, Resulting Numbers: [4590]
4590,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Moving to Node #0,0,1
Current State: 84:[16, 2, 42], Operations: ['62/31=2', '85-43=42']
Exploring Operation: 42/2=21, Resulting Numbers: [16, 21]
Generated Node #0,0,1,0: 84:[16, 21] Operation: 42/2=21
Exploring Operation: 16/2=8, Resulting Numbers: [42, 8]
Generated Node #0,0,1,1: 84:[42, 8] Operation: 16/2=8
Exploring Operation: 16-2=14, Resulting Numbers: [42, 14]
Generated Node #0,0,1,2: 84:[42, 14] Operation: 16-2=14
Exploring Operation: 42-16=26, Resulting Numbers: [2, 26]
Generated Node #0,0,1,3: 84:[2, 26] Operation: 42-16=26
Exploring Operation: 2*42=84, Resulting Numbers: [16, 84]
Generated Node #0,0,1,4: 84:[16, 84] Operation: 2*42=84
Moving to Node #0,0,4
Current State: 84:[43, 85, 8], Operations: ['62/31=2', '16/2=8']
Exploring Operation: 85+8=93, Resulting Numbers: [43, 93]
Generated Node #0,0,4,0: 84:[43, 93] Operation: 85+8=93
Exploring Operation: 43-8=35, Resulting Numbers: [85, 35]
Generated Node #0,0,4,1: 84:[85, 35] Operation: 43-8=35
Exploring Operation: 85-43=42, Resulting Numbers: [8, 42]
Generated Node #0,0,4,2: 84:[8, 42] Operation: 85-43=42
Exploring Operation: 85-8=77, Resulting Numbers: [43, 77]
Generated Node #0,0,4,3: 84:[43, 77] Operation: 85-8=77
Exploring Operation: 43+8=51, Resulting Numbers: [85, 51]
Generated Node #0,0,4,4: 84:[85, 51] Operation: 43+8=51
Moving to Node #0,0,2
Current State: 84:[16, 85, 41], Operations: ['62/31=2', '43-2=41']
Exploring Operation: 16+41=57, Resulting Numbers: [85, 57]
Generated Node #0,0,2,0: 84:[85, 57] Operation: 16+41=57
Exploring Operation: 41-16=25, Resulting Numbers: [85, 25]
Generated Node #0,0,2,1: 84:[85, 25] Operation: 41-16=25
Exploring Operation: 85-41=44, Resulting Numbers: [16, 44]
Generated Node #0,0,2,2: 84:[16, 44] Operation: 85-41=44
Exploring Operation: 16+85=101, Resulting Numbers: [41, 101]
Generated Node #0,0,2,3: 84:[41, 101] Operation: 16+85=101
Exploring Operation: 85-16=69, Resulting Numbers: [41, 69]
Generated Node #0,0,2,4: 84:[41, 69] Operation: 85-16=69
Moving to Node #0,0,1,2
Current State: 84:[42, 14], Operations: ['62/31=2', '85-43=42', '16-2=14']
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 42*14=588, Resulting Numbers: [588]
588,84 unequal: No Solution
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Moving to Node #0,0,4,2
Current State: 84:[8, 42], Operations: ['62/31=2', '16/2=8', '85-43=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Moving to Node #0,0,1,1
Current State: 84:[42, 8], Operations: ['62/31=2', '85-43=42', '16/2=8']
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 84:[16, 21], Operations: ['62/31=2', '85-43=42', '42/2=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Moving to Node #0,0,1,4
Current State: 84:[16, 84], Operations: ['62/31=2', '85-43=42', '2*42=84']
Exploring Operation: 16*84=1344, Resulting Numbers: [1344]
1344,84 unequal: No Solution
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 16+84=100, Resulting Numbers: [100]
100,84 unequal: No Solution
Moving to Node #0,0,1,3
Current State: 84:[2, 26], Operations: ['62/31=2', '85-43=42', '42-16=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,84 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Moving to Node #0,0,2,2
Current State: 84:[16, 44], Operations: ['62/31=2', '43-2=41', '85-41=44']
Exploring Operation: 16*44=704, Resulting Numbers: [704]
704,84 unequal: No Solution
Exploring Operation: 16+44=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Moving to Node #0,0,2,1
Current State: 84:[85, 25], Operations: ['62/31=2', '43-2=41', '41-16=25']
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,84 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,84 unequal: No Solution
Moving to Node #0,0,4,1
Current State: 84:[85, 35], Operations: ['62/31=2', '16/2=8', '43-8=35']
Exploring Operation: 85*35=2975, Resulting Numbers: [2975]
2975,84 unequal: No Solution
Exploring Operation: 85+35=120, Resulting Numbers: [120]
120,84 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Moving to Node #0,0,4,3
Current State: 84:[43, 77], Operations: ['62/31=2', '16/2=8', '85-8=77']
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,84 unequal: No Solution
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,84 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Moving to Node #0,0,4,4
Current State: 84:[85, 51], Operations: ['62/31=2', '16/2=8', '43+8=51']
Exploring Operation: 85+51=136, Resulting Numbers: [136]
136,84 unequal: No Solution
Exploring Operation: 85*51=4335, Resulting Numbers: [4335]
4335,84 unequal: No Solution
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Moving to Node #0,0,4,0
Current State: 84:[43, 93], Operations: ['62/31=2', '16/2=8', '85+8=93']
Exploring Operation: 93-43=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 43*93=3999, Resulting Numbers: [3999]
3999,84 unequal: No Solution
Exploring Operation: 43+93=136, Resulting Numbers: [136]
136,84 unequal: No Solution
Moving to Node #0,0,2,4
Current State: 84:[41, 69], Operations: ['62/31=2', '43-2=41', '85-16=69']
Exploring Operation: 41*69=2829, Resulting Numbers: [2829]
2829,84 unequal: No Solution
Exploring Operation: 41+69=110, Resulting Numbers: [110]
110,84 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 84:[85, 57], Operations: ['62/31=2', '43-2=41', '16+41=57']
Exploring Operation: 85-57=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 85*57=4845, Resulting Numbers: [4845]
4845,84 unequal: No Solution
Exploring Operation: 85+57=142, Resulting Numbers: [142]
142,84 unequal: No Solution
Moving to Node #0,0,2,3
Current State: 84:[41, 101], Operations: ['62/31=2', '43-2=41', '16+85=101']
Exploring Operation: 41*101=4141, Resulting Numbers: [4141]
4141,84 unequal: No Solution
Exploring Operation: 101-41=60, Resulting Numbers: [60]
60,84 unequal: No Solution
Exploring Operation: 41+101=142, Resulting Numbers: [142]
142,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[43, 16, 85, 31], Operations: ['62-31=31']
Exploring Operation: 43-16=27, Resulting Numbers: [85, 31, 27]
Generated Node #0,3,0: 84:[85, 31, 27] Operation: 43-16=27
Exploring Operation: 43-31=12, Resulting Numbers: [16, 85, 12]
Generated Node #0,3,1: 84:[16, 85, 12] Operation: 43-31=12
Exploring Operation: 16+31=47, Resulting Numbers: [43, 85, 47]
Generated Node #0,3,2: 84:[43, 85, 47] Operation: 16+31=47
Exploring Operation: 31-16=15, Resulting Numbers: [43, 85, 15]
Generated Node #0,3,3: 84:[43, 85, 15] Operation: 31-16=15
Exploring Operation: 85-43=42, Resulting Numbers: [16, 31, 42]
Generated Node #0,3,4: 84:[16, 31, 42] Operation: 85-43=42
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 84:[16, 85, 12], Operations: ['62-31=31', '43-31=12']
Exploring Operation: 85-12=73, Resulting Numbers: [16, 73]
Generated Node #0,3,1,0: 84:[16, 73] Operation: 85-12=73
Exploring Operation: 85-16=69, Resulting Numbers: [12, 69]
Generated Node #0,3,1,1: 84:[12, 69] Operation: 85-16=69
Exploring Operation: 16-12=4, Resulting Numbers: [85, 4]
Generated Node #0,3,1,2: 84:[85, 4] Operation: 16-12=4
Exploring Operation: 85+12=97, Resulting Numbers: [16, 97]
Generated Node #0,3,1,3: 84:[16, 97] Operation: 85+12=97
Exploring Operation: 16+12=28, Resulting Numbers: [85, 28]
Generated Node #0,3,1,4: 84:[85, 28] Operation: 16+12=28
Start Sub Search at level 3: Moving to Node #0,3,1,2
Current State: 84:[85, 4], Operations: ['62-31=31', '43-31=12', '16-12=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,84 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,1,4
Current State: 84:[85, 28], Operations: ['62-31=31', '43-31=12', '16+12=28']
Exploring Operation: 85+28=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 85*28=2380, Resulting Numbers: [2380]
2380,84 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,1,0
Current State: 84:[16, 73], Operations: ['62-31=31', '43-31=12', '85-12=73']
Exploring Operation: 16+73=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 16*73=1168, Resulting Numbers: [1168]
1168,84 unequal: No Solution
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,1,1
Current State: 84:[12, 69], Operations: ['62-31=31', '43-31=12', '85-16=69']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,1,3
Current State: 84:[16, 97], Operations: ['62-31=31', '43-31=12', '85+12=97']
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 16*97=1552, Resulting Numbers: [1552]
1552,84 unequal: No Solution
Exploring Operation: 16+97=113, Resulting Numbers: [113]
113,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 84:[43, 85, 15], Operations: ['62-31=31', '31-16=15']
Exploring Operation: 85-43=42, Resulting Numbers: [15, 42]
Generated Node #0,3,3,0: 84:[15, 42] Operation: 85-43=42
Exploring Operation: 43+15=58, Resulting Numbers: [85, 58]
Generated Node #0,3,3,1: 84:[85, 58] Operation: 43+15=58
Exploring Operation: 43-15=28, Resulting Numbers: [85, 28]
Generated Node #0,3,3,2: 84:[85, 28] Operation: 43-15=28
Exploring Operation: 85-15=70, Resulting Numbers: [43, 70]
Generated Node #0,3,3,3: 84:[43, 70] Operation: 85-15=70
Exploring Operation: 85+15=100, Resulting Numbers: [43, 100]
Generated Node #0,3,3,4: 84:[43, 100] Operation: 85+15=100
Start Sub Search at level 3: Moving to Node #0,3,3,0
Current State: 84:[15, 42], Operations: ['62-31=31', '31-16=15', '85-43=42']
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,3,2
Current State: 84:[85, 28], Operations: ['62-31=31', '31-16=15', '43-15=28']
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 85*28=2380, Resulting Numbers: [2380]
2380,84 unequal: No Solution
Exploring Operation: 85+28=113, Resulting Numbers: [113]
113,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,3,3
Current State: 84:[43, 70], Operations: ['62-31=31', '31-16=15', '85-15=70']
Exploring Operation: 43+70=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 43*70=3010, Resulting Numbers: [3010]
3010,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,3,1
Current State: 84:[85, 58], Operations: ['62-31=31', '31-16=15', '43+15=58']
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 85+58=143, Resulting Numbers: [143]
143,84 unequal: No Solution
Exploring Operation: 85*58=4930, Resulting Numbers: [4930]
4930,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,3,4
Current State: 84:[43, 100], Operations: ['62-31=31', '31-16=15', '85+15=100']
Exploring Operation: 43+100=143, Resulting Numbers: [143]
143,84 unequal: No Solution
Exploring Operation: 43*100=4300, Resulting Numbers: [4300]
4300,84 unequal: No Solution
Exploring Operation: 100-43=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 84:[85, 31, 27], Operations: ['62-31=31', '43-16=27']
Exploring Operation: 31+27=58, Resulting Numbers: [85, 58]
Generated Node #0,3,0,0: 84:[85, 58] Operation: 31+27=58
Exploring Operation: 31-27=4, Resulting Numbers: [85, 4]
Generated Node #0,3,0,1: 84:[85, 4] Operation: 31-27=4
Exploring Operation: 85+27=112, Resulting Numbers: [31, 112]
Generated Node #0,3,0,2: 84:[31, 112] Operation: 85+27=112
Exploring Operation: 85-31=54, Resulting Numbers: [27, 54]
Generated Node #0,3,0,3: 84:[27, 54] Operation: 85-31=54
Exploring Operation: 85-27=58, Resulting Numbers: [31, 58]
Generated Node #0,3,0,4: 84:[31, 58] Operation: 85-27=58
Moving to Node #0,3,0,1
Current State: 84:[85, 4], Operations: ['62-31=31', '43-16=27', '31-27=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,84 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Moving to Node #0,3,0,3
Current State: 84:[27, 54], Operations: ['62-31=31', '43-16=27', '85-31=54']
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 27*54=1458, Resulting Numbers: [1458]
1458,84 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 84:[85, 58], Operations: ['62-31=31', '43-16=27', '31+27=58']
Exploring Operation: 85+58=143, Resulting Numbers: [143]
143,84 unequal: No Solution
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 85*58=4930, Resulting Numbers: [4930]
4930,84 unequal: No Solution
Moving to Node #0,3,0,4
Current State: 84:[31, 58], Operations: ['62-31=31', '43-16=27', '85-27=58']
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 31*58=1798, Resulting Numbers: [1798]
1798,84 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Moving to Node #0,3,0,2
Current State: 84:[31, 112], Operations: ['62-31=31', '43-16=27', '85+27=112']
Exploring Operation: 112-31=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 31+112=143, Resulting Numbers: [143]
143,84 unequal: No Solution
Exploring Operation: 31*112=3472, Resulting Numbers: [3472]
3472,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 84:[16, 31, 42], Operations: ['62-31=31', '85-43=42']
Exploring Operation: 16+31=47, Resulting Numbers: [42, 47]
Generated Node #0,3,4,0: 84:[42, 47] Operation: 16+31=47
Exploring Operation: 42-16=26, Resulting Numbers: [31, 26]
Generated Node #0,3,4,1: 84:[31, 26] Operation: 42-16=26
Exploring Operation: 31-16=15, Resulting Numbers: [42, 15]
Generated Node #0,3,4,2: 84:[42, 15] Operation: 31-16=15
Exploring Operation: 42-31=11, Resulting Numbers: [16, 11]
Generated Node #0,3,4,3: 84:[16, 11] Operation: 42-31=11
Exploring Operation: 31+42=73, Resulting Numbers: [16, 73]
Generated Node #0,3,4,4: 84:[16, 73] Operation: 31+42=73
Start Sub Search at level 3: Moving to Node #0,3,4,2
Current State: 84:[42, 15], Operations: ['62-31=31', '85-43=42', '31-16=15']
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 42*15=630, Resulting Numbers: [630]
630,84 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,4,3
Current State: 84:[16, 11], Operations: ['62-31=31', '85-43=42', '42-31=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,84 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,4,0
Current State: 84:[42, 47], Operations: ['62-31=31', '85-43=42', '16+31=47']
Exploring Operation: 42*47=1974, Resulting Numbers: [1974]
1974,84 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 42+47=89, Resulting Numbers: [89]
89,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,4,1
Current State: 84:[31, 26], Operations: ['62-31=31', '85-43=42', '42-16=26']
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 31*26=806, Resulting Numbers: [806]
806,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,4,4
Current State: 84:[16, 73], Operations: ['62-31=31', '85-43=42', '31+42=73']
Exploring Operation: 16+73=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 16*73=1168, Resulting Numbers: [1168]
1168,84 unequal: No Solution
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 84:[43, 85, 47], Operations: ['62-31=31', '16+31=47']
Exploring Operation: 43+85=128, Resulting Numbers: [47, 128]
Generated Node #0,3,2,0: 84:[47, 128] Operation: 43+85=128
Exploring Operation: 47-43=4, Resulting Numbers: [85, 4]
Generated Node #0,3,2,1: 84:[85, 4] Operation: 47-43=4
Exploring Operation: 85-43=42, Resulting Numbers: [47, 42]
Generated Node #0,3,2,2: 84:[47, 42] Operation: 85-43=42
Exploring Operation: 43+47=90, Resulting Numbers: [85, 90]
Generated Node #0,3,2,3: 84:[85, 90] Operation: 43+47=90
Exploring Operation: 85-47=38, Resulting Numbers: [43, 38]
Generated Node #0,3,2,4: 84:[43, 38] Operation: 85-47=38
Start Sub Search at level 3: Moving to Node #0,3,2,1
Current State: 84:[85, 4], Operations: ['62-31=31', '16+31=47', '47-43=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,84 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,2,2
Current State: 84:[47, 42], Operations: ['62-31=31', '16+31=47', '85-43=42']
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,84 unequal: No Solution
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,2,4
Current State: 84:[43, 38], Operations: ['62-31=31', '16+31=47', '85-47=38']
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,2,3
Current State: 84:[85, 90], Operations: ['62-31=31', '16+31=47', '43+47=90']
Exploring Operation: 85*90=7650, Resulting Numbers: [7650]
7650,84 unequal: No Solution
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 85+90=175, Resulting Numbers: [175]
175,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,3,2,0
Current State: 84:[47, 128], Operations: ['62-31=31', '16+31=47', '43+85=128']
Exploring Operation: 128-47=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 47*128=6016, Resulting Numbers: [6016]
6016,84 unequal: No Solution
Exploring Operation: 47+128=175, Resulting Numbers: [175]
175,84 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[31, 43, 16, 23], Operations: ['85-62=23']
Exploring Operation: 43-16=27, Resulting Numbers: [31, 23, 27]
Generated Node #0,1,0: 84:[31, 23, 27] Operation: 43-16=27
Exploring Operation: 43-31=12, Resulting Numbers: [16, 23, 12]
Generated Node #0,1,1: 84:[16, 23, 12] Operation: 43-31=12
Exploring Operation: 31-23=8, Resulting Numbers: [43, 16, 8]
Generated Node #0,1,2: 84:[43, 16, 8] Operation: 31-23=8
Exploring Operation: 31-16=15, Resulting Numbers: [43, 23, 15]
Generated Node #0,1,3: 84:[43, 23, 15] Operation: 31-16=15
Exploring Operation: 23-16=7, Resulting Numbers: [31, 43, 7]
Generated Node #0,1,4: 84:[31, 43, 7] Operation: 23-16=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[16, 23, 12], Operations: ['85-62=23', '43-31=12']
Exploring Operation: 23-16=7, Resulting Numbers: [12, 7]
Generated Node #0,1,1,0: 84:[12, 7] Operation: 23-16=7
Exploring Operation: 16+23=39, Resulting Numbers: [12, 39]
Generated Node #0,1,1,1: 84:[12, 39] Operation: 16+23=39
Exploring Operation: 16-12=4, Resulting Numbers: [23, 4]
Generated Node #0,1,1,2: 84:[23, 4] Operation: 16-12=4
Exploring Operation: 16+12=28, Resulting Numbers: [23, 28]
Generated Node #0,1,1,3: 84:[23, 28] Operation: 16+12=28
Exploring Operation: 23-12=11, Resulting Numbers: [16, 11]
Generated Node #0,1,1,4: 84:[16, 11] Operation: 23-12=11
Moving to Node #0,1,1,0
Current State: 84:[12, 7], Operations: ['85-62=23', '43-31=12', '23-16=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,84 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[31, 43, 16, 85, 62], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [31, 43, 16, 23]
Generated Node #0,1: 84:[31, 43, 16, 23] Operation: 85-62=23
Moving to Node #0,1
Current State: 84:[31, 43, 16, 23], Operations: ['85-62=23']
Exploring Operation: 43-31=12, Resulting Numbers: [16, 23, 12]
Generated Node #0,1,1: 84:[16, 23, 12] Operation: 43-31=12
Moving to Node #0,1,1
Current State: 84:[16, 23, 12], Operations: ['85-62=23', '43-31=12']
Exploring Operation: 23-16=7, Resulting Numbers: [12, 7]
Generated Node #0,1,1,0: 84:[12, 7] Operation: 23-16=7
Moving to Node #0,1,1,0
Current State: 84:[12, 7], Operations: ['85-62=23', '43-31=12', '23-16=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.994857 | hs_5 | mult_heuristic | 5 | 16,046 |
[
57,
14,
61,
51,
17
] | 99 | [
"57+14=71",
"61-51=10",
"17*10=170",
"170-71=99"
] | Current State: 99:[57, 14, 61, 51, 17], Operations: []
Exploring Operation: 57+14=71, Resulting Numbers: [61, 51, 17, 71]
Generated Node #2: [61, 51, 17, 71] from Operation: 57+14=71
Current State: 99:[61, 51, 17, 71], Operations: ['57+14=71']
Exploring Operation: 61-51=10, Resulting Numbers: [17, 71, 10]
Generated Node #3: [17, 71, 10] from Operation: 61-51=10
Current State: 99:[17, 71, 10], Operations: ['57+14=71', '61-51=10']
Exploring Operation: 17*10=170, Resulting Numbers: [71, 170]
Generated Node #4: [71, 170] from Operation: 17*10=170
Current State: 99:[71, 170], Operations: ['57+14=71', '61-51=10', '17*10=170']
Exploring Operation: 170-71=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 5 | Current State: 99:[57, 14, 61, 51, 17], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [57, 14, 17, 10]
Generated Node #0,0: 99:[57, 14, 17, 10] Operation: 61-51=10
Exploring Operation: 57-51=6, Resulting Numbers: [14, 61, 17, 6]
Generated Node #0,1: 99:[14, 61, 17, 6] Operation: 57-51=6
Exploring Operation: 61-57=4, Resulting Numbers: [14, 51, 17, 4]
Generated Node #0,2: 99:[14, 51, 17, 4] Operation: 61-57=4
Moving to Node #0,2
Current State: 99:[14, 51, 17, 4], Operations: ['61-57=4']
Exploring Operation: 51-17=34, Resulting Numbers: [14, 4, 34]
Generated Node #0,2,0: 99:[14, 4, 34] Operation: 51-17=34
Exploring Operation: 51-14=37, Resulting Numbers: [17, 4, 37]
Generated Node #0,2,1: 99:[17, 4, 37] Operation: 51-14=37
Exploring Operation: 51/17=3, Resulting Numbers: [14, 4, 3]
Generated Node #0,2,2: 99:[14, 4, 3] Operation: 51/17=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[14, 4, 3], Operations: ['61-57=4', '51/17=3']
Exploring Operation: 4*3=12, Resulting Numbers: [14, 12]
Generated Node #0,2,2,0: 99:[14, 12] Operation: 4*3=12
Exploring Operation: 14-4=10, Resulting Numbers: [3, 10]
Generated Node #0,2,2,1: 99:[3, 10] Operation: 14-4=10
Exploring Operation: 14-3=11, Resulting Numbers: [4, 11]
Generated Node #0,2,2,2: 99:[4, 11] Operation: 14-3=11
Start Sub Search at level 2: Moving to Node #0,2,2,1
Current State: 99:[3, 10], Operations: ['61-57=4', '51/17=3', '14-4=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,2
Current State: 99:[4, 11], Operations: ['61-57=4', '51/17=3', '14-3=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2,0
Current State: 99:[14, 12], Operations: ['61-57=4', '51/17=3', '4*3=12']
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,99 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[14, 4, 34], Operations: ['61-57=4', '51-17=34']
Exploring Operation: 14-4=10, Resulting Numbers: [34, 10]
Generated Node #0,2,0,0: 99:[34, 10] Operation: 14-4=10
Exploring Operation: 14+4=18, Resulting Numbers: [34, 18]
Generated Node #0,2,0,1: 99:[34, 18] Operation: 14+4=18
Exploring Operation: 34-4=30, Resulting Numbers: [14, 30]
Generated Node #0,2,0,2: 99:[14, 30] Operation: 34-4=30
Moving to Node #0,2,0,0
Current State: 99:[34, 10], Operations: ['61-57=4', '51-17=34', '14-4=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,99 unequal: No Solution
Moving to Node #0,2,0,2
Current State: 99:[14, 30], Operations: ['61-57=4', '51-17=34', '34-4=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,99 unequal: No Solution
Moving to Node #0,2,0,1
Current State: 99:[34, 18], Operations: ['61-57=4', '51-17=34', '14+4=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,99 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[17, 4, 37], Operations: ['61-57=4', '51-14=37']
Exploring Operation: 37-17=20, Resulting Numbers: [4, 20]
Generated Node #0,2,1,0: 99:[4, 20] Operation: 37-17=20
Exploring Operation: 37-4=33, Resulting Numbers: [17, 33]
Generated Node #0,2,1,1: 99:[17, 33] Operation: 37-4=33
Exploring Operation: 17-4=13, Resulting Numbers: [37, 13]
Generated Node #0,2,1,2: 99:[37, 13] Operation: 17-4=13
Moving to Node #0,2,1,1
Current State: 99:[17, 33], Operations: ['61-57=4', '51-14=37', '37-4=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,99 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Moving to Node #0,2,1,2
Current State: 99:[37, 13], Operations: ['61-57=4', '51-14=37', '17-4=13']
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,99 unequal: No Solution
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 99:[4, 20], Operations: ['61-57=4', '51-14=37', '37-17=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 99:[57, 14, 17, 10], Operations: ['61-51=10']
Exploring Operation: 57-10=47, Resulting Numbers: [14, 17, 47]
Generated Node #0,0,0: 99:[14, 17, 47] Operation: 57-10=47
Exploring Operation: 57-14=43, Resulting Numbers: [17, 10, 43]
Generated Node #0,0,1: 99:[17, 10, 43] Operation: 57-14=43
Exploring Operation: 57-17=40, Resulting Numbers: [14, 10, 40]
Generated Node #0,0,2: 99:[14, 10, 40] Operation: 57-17=40
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 99:[14, 10, 40], Operations: ['61-51=10', '57-17=40']
Exploring Operation: 40-10=30, Resulting Numbers: [14, 30]
Generated Node #0,0,2,0: 99:[14, 30] Operation: 40-10=30
Exploring Operation: 14-10=4, Resulting Numbers: [40, 4]
Generated Node #0,0,2,1: 99:[40, 4] Operation: 14-10=4
Exploring Operation: 40/10=4, Resulting Numbers: [14, 4]
Generated Node #0,0,2,2: 99:[14, 4] Operation: 40/10=4
Start Sub Search at level 2: Moving to Node #0,0,2,2
Current State: 99:[14, 4], Operations: ['61-51=10', '57-17=40', '40/10=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,99 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2,0
Current State: 99:[14, 30], Operations: ['61-51=10', '57-17=40', '40-10=30']
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,99 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,99 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2,1
Current State: 99:[40, 4], Operations: ['61-51=10', '57-17=40', '14-10=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[17, 10, 43], Operations: ['61-51=10', '57-14=43']
Exploring Operation: 43-10=33, Resulting Numbers: [17, 33]
Generated Node #0,0,1,0: 99:[17, 33] Operation: 43-10=33
Exploring Operation: 17-10=7, Resulting Numbers: [43, 7]
Generated Node #0,0,1,1: 99:[43, 7] Operation: 17-10=7
Exploring Operation: 43-17=26, Resulting Numbers: [10, 26]
Generated Node #0,0,1,2: 99:[10, 26] Operation: 43-17=26
Start Sub Search at level 2: Moving to Node #0,0,1,0
Current State: 99:[17, 33], Operations: ['61-51=10', '57-14=43', '43-10=33']
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,99 unequal: No Solution
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1,2
Current State: 99:[10, 26], Operations: ['61-51=10', '57-14=43', '43-17=26']
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,99 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1,1
Current State: 99:[43, 7], Operations: ['61-51=10', '57-14=43', '17-10=7']
Exploring Operation: 43*7=301, Resulting Numbers: [301]
301,99 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[14, 17, 47], Operations: ['61-51=10', '57-10=47']
Exploring Operation: 47-14=33, Resulting Numbers: [17, 33]
Generated Node #0,0,0,0: 99:[17, 33] Operation: 47-14=33
Exploring Operation: 17-14=3, Resulting Numbers: [47, 3]
Generated Node #0,0,0,1: 99:[47, 3] Operation: 17-14=3
Exploring Operation: 47-17=30, Resulting Numbers: [14, 30]
Generated Node #0,0,0,2: 99:[14, 30] Operation: 47-17=30
Start Sub Search at level 2: Moving to Node #0,0,0,0
Current State: 99:[17, 33], Operations: ['61-51=10', '57-10=47', '47-14=33']
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,99 unequal: No Solution
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,2
Current State: 99:[14, 30], Operations: ['61-51=10', '57-10=47', '47-17=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,99 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,1
Current State: 99:[47, 3], Operations: ['61-51=10', '57-10=47', '17-14=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,99 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,99 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 99:[14, 61, 17, 6], Operations: ['57-51=6']
Exploring Operation: 61+17=78, Resulting Numbers: [14, 6, 78]
Generated Node #0,1,0: 99:[14, 6, 78] Operation: 61+17=78
Exploring Operation: 61-14=47, Resulting Numbers: [17, 6, 47]
Generated Node #0,1,1: 99:[17, 6, 47] Operation: 61-14=47
Exploring Operation: 61-17=44, Resulting Numbers: [14, 6, 44]
Generated Node #0,1,2: 99:[14, 6, 44] Operation: 61-17=44
Moving to Node #0,1,2
Current State: 99:[14, 6, 44], Operations: ['57-51=6', '61-17=44']
Exploring Operation: 44-14=30, Resulting Numbers: [6, 30]
Generated Node #0,1,2,0: 99:[6, 30] Operation: 44-14=30
Exploring Operation: 14-6=8, Resulting Numbers: [44, 8]
Generated Node #0,1,2,1: 99:[44, 8] Operation: 14-6=8
Exploring Operation: 44-6=38, Resulting Numbers: [14, 38]
Generated Node #0,1,2,2: 99:[14, 38] Operation: 44-6=38
Moving to Node #0,1,1
Current State: 99:[17, 6, 47], Operations: ['57-51=6', '61-14=47']
Exploring Operation: 47-17=30, Resulting Numbers: [6, 30]
Generated Node #0,1,1,0: 99:[6, 30] Operation: 47-17=30
Exploring Operation: 47-6=41, Resulting Numbers: [17, 41]
Generated Node #0,1,1,1: 99:[17, 41] Operation: 47-6=41
Exploring Operation: 17-6=11, Resulting Numbers: [47, 11]
Generated Node #0,1,1,2: 99:[47, 11] Operation: 17-6=11
Moving to Node #0,1,0
Current State: 99:[14, 6, 78], Operations: ['57-51=6', '61+17=78']
Exploring Operation: 6+78=84, Resulting Numbers: [14, 84]
Generated Node #0,1,0,0: 99:[14, 84] Operation: 6+78=84
Exploring Operation: 14+78=92, Resulting Numbers: [6, 92]
Generated Node #0,1,0,1: 99:[6, 92] Operation: 14+78=92
Exploring Operation: 78/6=13, Resulting Numbers: [14, 13]
Generated Node #0,1,0,2: 99:[14, 13] Operation: 78/6=13
Start Sub Search at level 1: Moving to Node #0,1,0,2
Current State: 99:[14, 13], Operations: ['57-51=6', '61+17=78', '78/6=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,99 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0,1
Current State: 99:[6, 92], Operations: ['57-51=6', '61+17=78', '14+78=92']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,99 unequal: No Solution
Exploring Operation: 6*92=552, Resulting Numbers: [552]
552,99 unequal: No Solution
Exploring Operation: 6+92=98, Resulting Numbers: [98]
98,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0,0
Current State: 99:[14, 84], Operations: ['57-51=6', '61+17=78', '6+78=84']
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,99 unequal: No Solution
Exploring Operation: 14+84=98, Resulting Numbers: [98]
98,99 unequal: No Solution
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2,0
Current State: 99:[6, 30], Operations: ['57-51=6', '61-17=44', '44-14=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 99:[6, 30], Operations: ['57-51=6', '61-14=47', '47-17=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Moving to Node #0,1,2,2
Current State: 99:[14, 38], Operations: ['57-51=6', '61-17=44', '44-6=38']
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,99 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Moving to Node #0,1,2,1
Current State: 99:[44, 8], Operations: ['57-51=6', '61-17=44', '14-6=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,99 unequal: No Solution
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,99 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Moving to Node #0,1,1,2
Current State: 99:[47, 11], Operations: ['57-51=6', '61-14=47', '17-6=11']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 47+11=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 47*11=517, Resulting Numbers: [517]
517,99 unequal: No Solution
Moving to Node #0,1,1,1
Current State: 99:[17, 41], Operations: ['57-51=6', '61-14=47', '47-6=41']
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,99 unequal: No Solution
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,99 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic | 3 | 8,193 |
[
24,
74,
50,
41,
87
] | 19 | [
"41-24=17",
"87-50=37",
"74/37=2",
"17+2=19"
] | Current State: 19:[24, 74, 50, 41, 87], Operations: []
Exploring Operation: 41-24=17, Resulting Numbers: [74, 50, 87, 17]
Generated Node #2: [74, 50, 87, 17] from Operation: 41-24=17
Current State: 19:[74, 50, 87, 17], Operations: ['41-24=17']
Exploring Operation: 87-50=37, Resulting Numbers: [74, 17, 37]
Generated Node #3: [74, 17, 37] from Operation: 87-50=37
Current State: 19:[74, 17, 37], Operations: ['41-24=17', '87-50=37']
Exploring Operation: 74/37=2, Resulting Numbers: [17, 2]
Generated Node #4: [17, 2] from Operation: 74/37=2
Current State: 19:[17, 2], Operations: ['41-24=17', '87-50=37', '74/37=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 5 | Current State: 19:[24, 74, 50, 41, 87], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [24, 50, 41, 13]
Generated Node #0,0: 19:[24, 50, 41, 13] Operation: 87-74=13
Exploring Operation: 74-50=24, Resulting Numbers: [24, 41, 87, 24]
Generated Node #0,1: 19:[24, 41, 87, 24] Operation: 74-50=24
Exploring Operation: 87-50=37, Resulting Numbers: [24, 74, 41, 37]
Generated Node #0,2: 19:[24, 74, 41, 37] Operation: 87-50=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[24, 50, 41, 13], Operations: ['87-74=13']
Exploring Operation: 41-24=17, Resulting Numbers: [50, 13, 17]
Generated Node #0,0,0: 19:[50, 13, 17] Operation: 41-24=17
Exploring Operation: 50-24=26, Resulting Numbers: [41, 13, 26]
Generated Node #0,0,1: 19:[41, 13, 26] Operation: 50-24=26
Exploring Operation: 50-41=9, Resulting Numbers: [24, 13, 9]
Generated Node #0,0,2: 19:[24, 13, 9] Operation: 50-41=9
Moving to Node #0,0,2
Current State: 19:[24, 13, 9], Operations: ['87-74=13', '50-41=9']
Exploring Operation: 24-9=15, Resulting Numbers: [13, 15]
Generated Node #0,0,2,0: 19:[13, 15] Operation: 24-9=15
Exploring Operation: 13+9=22, Resulting Numbers: [24, 22]
Generated Node #0,0,2,1: 19:[24, 22] Operation: 13+9=22
Exploring Operation: 24-13=11, Resulting Numbers: [9, 11]
Generated Node #0,0,2,2: 19:[9, 11] Operation: 24-13=11
Start Sub Search at level 2: Moving to Node #0,0,2,1
Current State: 19:[24, 22], Operations: ['87-74=13', '50-41=9', '13+9=22']
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,19 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2,0
Current State: 19:[13, 15], Operations: ['87-74=13', '50-41=9', '24-9=15']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2,2
Current State: 19:[9, 11], Operations: ['87-74=13', '50-41=9', '24-13=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,19 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Moving to Node #0,0,1
Current State: 19:[41, 13, 26], Operations: ['87-74=13', '50-24=26']
Exploring Operation: 41-13=28, Resulting Numbers: [26, 28]
Generated Node #0,0,1,0: 19:[26, 28] Operation: 41-13=28
Exploring Operation: 41-26=15, Resulting Numbers: [13, 15]
Generated Node #0,0,1,1: 19:[13, 15] Operation: 41-26=15
Exploring Operation: 26-13=13, Resulting Numbers: [41, 13]
Generated Node #0,0,1,2: 19:[41, 13] Operation: 26-13=13
Start Sub Search at level 2: Moving to Node #0,0,1,1
Current State: 19:[13, 15], Operations: ['87-74=13', '50-24=26', '41-26=15']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1,0
Current State: 19:[26, 28], Operations: ['87-74=13', '50-24=26', '41-13=28']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 26+28=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 26*28=728, Resulting Numbers: [728]
728,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1,2
Current State: 19:[41, 13], Operations: ['87-74=13', '50-24=26', '26-13=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,19 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Moving to Node #0,0,0
Current State: 19:[50, 13, 17], Operations: ['87-74=13', '41-24=17']
Exploring Operation: 50-13=37, Resulting Numbers: [17, 37]
Generated Node #0,0,0,0: 19:[17, 37] Operation: 50-13=37
Exploring Operation: 13+17=30, Resulting Numbers: [50, 30]
Generated Node #0,0,0,1: 19:[50, 30] Operation: 13+17=30
Exploring Operation: 50-17=33, Resulting Numbers: [13, 33]
Generated Node #0,0,0,2: 19:[13, 33] Operation: 50-17=33
Start Sub Search at level 2: Moving to Node #0,0,0,0
Current State: 19:[17, 37], Operations: ['87-74=13', '41-24=17', '50-13=37']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,2
Current State: 19:[13, 33], Operations: ['87-74=13', '41-24=17', '50-17=33']
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,19 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0,1
Current State: 19:[50, 30], Operations: ['87-74=13', '41-24=17', '13+17=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,19 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[24, 41, 87, 24], Operations: ['74-50=24']
Exploring Operation: 87-24=63, Resulting Numbers: [24, 41, 63]
Generated Node #0,1,0: 19:[24, 41, 63] Operation: 87-24=63
Exploring Operation: 87-41=46, Resulting Numbers: [24, 24, 46]
Generated Node #0,1,1: 19:[24, 24, 46] Operation: 87-41=46
Exploring Operation: 87-24=63, Resulting Numbers: [41, 24, 63]
Generated Node #0,1,2: 19:[41, 24, 63] Operation: 87-24=63
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[24, 24, 46], Operations: ['74-50=24', '87-41=46']
Exploring Operation: 46-24=22, Resulting Numbers: [24, 22]
Generated Node #0,1,1,0: 19:[24, 22] Operation: 46-24=22
Exploring Operation: 46-24=22, Resulting Numbers: [24, 22]
Generated Node #0,1,1,1: 19:[24, 22] Operation: 46-24=22
Exploring Operation: 24/24=1, Resulting Numbers: [46, 1]
Generated Node #0,1,1,2: 19:[46, 1] Operation: 24/24=1
Start Sub Search at level 3: Moving to Node #0,1,1,0
Current State: 19:[24, 22], Operations: ['74-50=24', '87-41=46', '46-24=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,19 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,1,1,1
Current State: 19:[24, 22], Operations: ['74-50=24', '87-41=46', '46-24=22']
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,19 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,1,1,2
Current State: 19:[46, 1], Operations: ['74-50=24', '87-41=46', '24/24=1']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[24, 41, 63], Operations: ['74-50=24', '87-24=63']
Exploring Operation: 41-24=17, Resulting Numbers: [63, 17]
Generated Node #0,1,0,0: 19:[63, 17] Operation: 41-24=17
Exploring Operation: 63-24=39, Resulting Numbers: [41, 39]
Generated Node #0,1,0,1: 19:[41, 39] Operation: 63-24=39
Exploring Operation: 63-41=22, Resulting Numbers: [24, 22]
Generated Node #0,1,0,2: 19:[24, 22] Operation: 63-41=22
Moving to Node #0,1,0,2
Current State: 19:[24, 22], Operations: ['74-50=24', '87-24=63', '63-41=22']
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,19 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Moving to Node #0,1,0,1
Current State: 19:[41, 39], Operations: ['74-50=24', '87-24=63', '63-24=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,19 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,19 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 19:[63, 17], Operations: ['74-50=24', '87-24=63', '41-24=17']
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 63*17=1071, Resulting Numbers: [1071]
1071,19 unequal: No Solution
Exploring Operation: 63+17=80, Resulting Numbers: [80]
80,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[41, 24, 63], Operations: ['74-50=24', '87-24=63']
Exploring Operation: 41-24=17, Resulting Numbers: [63, 17]
Generated Node #0,1,2,0: 19:[63, 17] Operation: 41-24=17
Exploring Operation: 63-24=39, Resulting Numbers: [41, 39]
Generated Node #0,1,2,1: 19:[41, 39] Operation: 63-24=39
Exploring Operation: 63-41=22, Resulting Numbers: [24, 22]
Generated Node #0,1,2,2: 19:[24, 22] Operation: 63-41=22
Start Sub Search at level 3: Moving to Node #0,1,2,2
Current State: 19:[24, 22], Operations: ['74-50=24', '87-24=63', '63-41=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,19 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,1,2,1
Current State: 19:[41, 39], Operations: ['74-50=24', '87-24=63', '63-24=39']
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,19 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,1,2,0
Current State: 19:[63, 17], Operations: ['74-50=24', '87-24=63', '41-24=17']
Exploring Operation: 63*17=1071, Resulting Numbers: [1071]
1071,19 unequal: No Solution
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 63+17=80, Resulting Numbers: [80]
80,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[24, 74, 41, 37], Operations: ['87-50=37']
Exploring Operation: 74-37=37, Resulting Numbers: [24, 41, 37]
Generated Node #0,2,0: 19:[24, 41, 37] Operation: 74-37=37
Exploring Operation: 74/37=2, Resulting Numbers: [24, 41, 2]
Generated Node #0,2,1: 19:[24, 41, 2] Operation: 74/37=2
Exploring Operation: 74-41=33, Resulting Numbers: [24, 37, 33]
Generated Node #0,2,2: 19:[24, 37, 33] Operation: 74-41=33
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[24, 37, 33], Operations: ['87-50=37', '74-41=33']
Exploring Operation: 37-33=4, Resulting Numbers: [24, 4]
Generated Node #0,2,2,0: 19:[24, 4] Operation: 37-33=4
Exploring Operation: 33-24=9, Resulting Numbers: [37, 9]
Generated Node #0,2,2,1: 19:[37, 9] Operation: 33-24=9
Exploring Operation: 37-24=13, Resulting Numbers: [33, 13]
Generated Node #0,2,2,2: 19:[33, 13] Operation: 37-24=13
Start Sub Search at level 3: Moving to Node #0,2,2,0
Current State: 19:[24, 4], Operations: ['87-50=37', '74-41=33', '37-33=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,2,2,2
Current State: 19:[33, 13], Operations: ['87-50=37', '74-41=33', '37-24=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,2,2,1
Current State: 19:[37, 9], Operations: ['87-50=37', '74-41=33', '33-24=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,19 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[24, 41, 2], Operations: ['87-50=37', '74/37=2']
Exploring Operation: 41-24=17, Resulting Numbers: [2, 17]
Generated Node #0,2,1,0: 19:[2, 17] Operation: 41-24=17
Exploring Operation: 24-2=22, Resulting Numbers: [41, 22]
Generated Node #0,2,1,1: 19:[41, 22] Operation: 24-2=22
Exploring Operation: 41-2=39, Resulting Numbers: [24, 39]
Generated Node #0,2,1,2: 19:[24, 39] Operation: 41-2=39
Start Sub Search at level 3: Moving to Node #0,2,1,0
Current State: 19:[2, 17], Operations: ['87-50=37', '74/37=2', '41-24=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[24, 74, 50, 41, 87], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [24, 74, 41, 37]
Generated Node #0,2: 19:[24, 74, 41, 37] Operation: 87-50=37
Moving to Node #0,2
Current State: 19:[24, 74, 41, 37], Operations: ['87-50=37']
Exploring Operation: 74/37=2, Resulting Numbers: [24, 41, 2]
Generated Node #0,2,1: 19:[24, 41, 2] Operation: 74/37=2
Moving to Node #0,2,1
Current State: 19:[24, 41, 2], Operations: ['87-50=37', '74/37=2']
Exploring Operation: 41-24=17, Resulting Numbers: [2, 17]
Generated Node #0,2,1,0: 19:[2, 17] Operation: 41-24=17
Moving to Node #0,2,1,0
Current State: 19:[2, 17], Operations: ['87-50=37', '74/37=2', '41-24=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 3
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.9977 | hs_3 | mult_heuristic | 3 | 7,753 |
[
46,
74,
82,
44,
57
] | 20 | [
"74-46=28",
"57*28=1596",
"44+1596=1640",
"1640/82=20"
] | Current State: 20:[46, 74, 82, 44, 57], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [82, 44, 57, 28]
Generated Node #2: [82, 44, 57, 28] from Operation: 74-46=28
Current State: 20:[82, 44, 57, 28], Operations: ['74-46=28']
Exploring Operation: 57*28=1596, Resulting Numbers: [82, 44, 1596]
Generated Node #3: [82, 44, 1596] from Operation: 57*28=1596
Current State: 20:[82, 44, 1596], Operations: ['74-46=28', '57*28=1596']
Exploring Operation: 44+1596=1640, Resulting Numbers: [82, 1640]
Generated Node #4: [82, 1640] from Operation: 44+1596=1640
Current State: 20:[82, 1640], Operations: ['74-46=28', '57*28=1596', '44+1596=1640']
Exploring Operation: 1640/82=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 5 | Current State: 20:[46, 74, 82, 44, 57], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [46, 82, 44, 17]
Generated Node #0,0: 20:[46, 82, 44, 17] Operation: 74-57=17
Exploring Operation: 82-57=25, Resulting Numbers: [46, 74, 44, 25]
Generated Node #0,1: 20:[46, 74, 44, 25] Operation: 82-57=25
Exploring Operation: 74-46=28, Resulting Numbers: [82, 44, 57, 28]
Generated Node #0,2: 20:[82, 44, 57, 28] Operation: 74-46=28
Exploring Operation: 82-74=8, Resulting Numbers: [46, 44, 57, 8]
Generated Node #0,3: 20:[46, 44, 57, 8] Operation: 82-74=8
Moving to Node #0,3
Current State: 20:[46, 44, 57, 8], Operations: ['82-74=8']
Exploring Operation: 57-44=13, Resulting Numbers: [46, 8, 13]
Generated Node #0,3,0: 20:[46, 8, 13] Operation: 57-44=13
Exploring Operation: 46-8=38, Resulting Numbers: [44, 57, 38]
Generated Node #0,3,1: 20:[44, 57, 38] Operation: 46-8=38
Exploring Operation: 46-44=2, Resulting Numbers: [57, 8, 2]
Generated Node #0,3,2: 20:[57, 8, 2] Operation: 46-44=2
Exploring Operation: 57-46=11, Resulting Numbers: [44, 8, 11]
Generated Node #0,3,3: 20:[44, 8, 11] Operation: 57-46=11
Moving to Node #0,1
Current State: 20:[46, 74, 44, 25], Operations: ['82-57=25']
Exploring Operation: 74-46=28, Resulting Numbers: [44, 25, 28]
Generated Node #0,1,0: 20:[44, 25, 28] Operation: 74-46=28
Exploring Operation: 46-25=21, Resulting Numbers: [74, 44, 21]
Generated Node #0,1,1: 20:[74, 44, 21] Operation: 46-25=21
Exploring Operation: 46-44=2, Resulting Numbers: [74, 25, 2]
Generated Node #0,1,2: 20:[74, 25, 2] Operation: 46-44=2
Exploring Operation: 74-44=30, Resulting Numbers: [46, 25, 30]
Generated Node #0,1,3: 20:[46, 25, 30] Operation: 74-44=30
Moving to Node #0,0
Current State: 20:[46, 82, 44, 17], Operations: ['74-57=17']
Exploring Operation: 46-17=29, Resulting Numbers: [82, 44, 29]
Generated Node #0,0,0: 20:[82, 44, 29] Operation: 46-17=29
Exploring Operation: 46-44=2, Resulting Numbers: [82, 17, 2]
Generated Node #0,0,1: 20:[82, 17, 2] Operation: 46-44=2
Exploring Operation: 82-44=38, Resulting Numbers: [46, 17, 38]
Generated Node #0,0,2: 20:[46, 17, 38] Operation: 82-44=38
Exploring Operation: 82-46=36, Resulting Numbers: [44, 17, 36]
Generated Node #0,0,3: 20:[44, 17, 36] Operation: 82-46=36
Moving to Node #0,2
Current State: 20:[82, 44, 57, 28], Operations: ['74-46=28']
Exploring Operation: 57-44=13, Resulting Numbers: [82, 28, 13]
Generated Node #0,2,0: 20:[82, 28, 13] Operation: 57-44=13
Exploring Operation: 82-57=25, Resulting Numbers: [44, 28, 25]
Generated Node #0,2,1: 20:[44, 28, 25] Operation: 82-57=25
Exploring Operation: 82-28=54, Resulting Numbers: [44, 57, 54]
Generated Node #0,2,2: 20:[44, 57, 54] Operation: 82-28=54
Exploring Operation: 82-44=38, Resulting Numbers: [57, 28, 38]
Generated Node #0,2,3: 20:[57, 28, 38] Operation: 82-44=38
Moving to Node #0,3,3
Current State: 20:[44, 8, 11], Operations: ['82-74=8', '57-46=11']
Exploring Operation: 44/11=4, Resulting Numbers: [8, 4]
Generated Node #0,3,3,0: 20:[8, 4] Operation: 44/11=4
Exploring Operation: 44-11=33, Resulting Numbers: [8, 33]
Generated Node #0,3,3,1: 20:[8, 33] Operation: 44-11=33
Exploring Operation: 8+11=19, Resulting Numbers: [44, 19]
Generated Node #0,3,3,2: 20:[44, 19] Operation: 8+11=19
Exploring Operation: 44-8=36, Resulting Numbers: [11, 36]
Generated Node #0,3,3,3: 20:[11, 36] Operation: 44-8=36
Moving to Node #0,3,0
Current State: 20:[46, 8, 13], Operations: ['82-74=8', '57-44=13']
Exploring Operation: 46-8=38, Resulting Numbers: [13, 38]
Generated Node #0,3,0,0: 20:[13, 38] Operation: 46-8=38
Exploring Operation: 8+13=21, Resulting Numbers: [46, 21]
Generated Node #0,3,0,1: 20:[46, 21] Operation: 8+13=21
Exploring Operation: 13-8=5, Resulting Numbers: [46, 5]
Generated Node #0,3,0,2: 20:[46, 5] Operation: 13-8=5
Exploring Operation: 46-13=33, Resulting Numbers: [8, 33]
Generated Node #0,3,0,3: 20:[8, 33] Operation: 46-13=33
Start Sub Search at level 1: Moving to Node #0,3,0,3
Current State: 20:[8, 33], Operations: ['82-74=8', '57-44=13', '46-13=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,20 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0,0
Current State: 20:[13, 38], Operations: ['82-74=8', '57-44=13', '46-8=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,20 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0,2
Current State: 20:[46, 5], Operations: ['82-74=8', '57-44=13', '13-8=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,20 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0,1
Current State: 20:[46, 21], Operations: ['82-74=8', '57-44=13', '8+13=21']
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 20:[44, 28, 25], Operations: ['74-46=28', '82-57=25']
Exploring Operation: 44-28=16, Resulting Numbers: [25, 16]
Generated Node #0,2,1,0: 20:[25, 16] Operation: 44-28=16
Exploring Operation: 28-25=3, Resulting Numbers: [44, 3]
Generated Node #0,2,1,1: 20:[44, 3] Operation: 28-25=3
Exploring Operation: 44-25=19, Resulting Numbers: [28, 19]
Generated Node #0,2,1,2: 20:[28, 19] Operation: 44-25=19
Exploring Operation: 44+28=72, Resulting Numbers: [25, 72]
Generated Node #0,2,1,3: 20:[25, 72] Operation: 44+28=72
Start Sub Search at level 1: Moving to Node #0,2,1,0
Current State: 20:[25, 16], Operations: ['74-46=28', '82-57=25', '44-28=16']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1,2
Current State: 20:[28, 19], Operations: ['74-46=28', '82-57=25', '44-25=19']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,20 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1,1
Current State: 20:[44, 3], Operations: ['74-46=28', '82-57=25', '28-25=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,20 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1,3
Current State: 20:[25, 72], Operations: ['74-46=28', '82-57=25', '44+28=72']
Exploring Operation: 25*72=1800, Resulting Numbers: [1800]
1800,20 unequal: No Solution
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 20:[44, 25, 28], Operations: ['82-57=25', '74-46=28']
Exploring Operation: 28-25=3, Resulting Numbers: [44, 3]
Generated Node #0,1,0,0: 20:[44, 3] Operation: 28-25=3
Exploring Operation: 44-25=19, Resulting Numbers: [28, 19]
Generated Node #0,1,0,1: 20:[28, 19] Operation: 44-25=19
Exploring Operation: 44-28=16, Resulting Numbers: [25, 16]
Generated Node #0,1,0,2: 20:[25, 16] Operation: 44-28=16
Exploring Operation: 44+25=69, Resulting Numbers: [28, 69]
Generated Node #0,1,0,3: 20:[28, 69] Operation: 44+25=69
Start Sub Search at level 1: Moving to Node #0,1,0,1
Current State: 20:[28, 19], Operations: ['82-57=25', '74-46=28', '44-25=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0,2
Current State: 20:[25, 16], Operations: ['82-57=25', '74-46=28', '44-28=16']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0,0
Current State: 20:[44, 3], Operations: ['82-57=25', '74-46=28', '28-25=3']
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,20 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0,3
Current State: 20:[28, 69], Operations: ['82-57=25', '74-46=28', '44+25=69']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 28*69=1932, Resulting Numbers: [1932]
1932,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3,0
Current State: 20:[8, 4], Operations: ['82-74=8', '57-46=11', '44/11=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,3,3,1
Current State: 20:[8, 33], Operations: ['82-74=8', '57-46=11', '44-11=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,20 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Moving to Node #0,3,3,3
Current State: 20:[11, 36], Operations: ['82-74=8', '57-46=11', '44-8=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,20 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Moving to Node #0,3,3,2
Current State: 20:[44, 19], Operations: ['82-74=8', '57-46=11', '8+11=19']
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,20 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Moving to Node #0,3,2
Current State: 20:[57, 8, 2], Operations: ['82-74=8', '46-44=2']
Exploring Operation: 8/2=4, Resulting Numbers: [57, 4]
Generated Node #0,3,2,0: 20:[57, 4] Operation: 8/2=4
Exploring Operation: 57-8=49, Resulting Numbers: [2, 49]
Generated Node #0,3,2,1: 20:[2, 49] Operation: 57-8=49
Exploring Operation: 8+2=10, Resulting Numbers: [57, 10]
Generated Node #0,3,2,2: 20:[57, 10] Operation: 8+2=10
Exploring Operation: 57-2=55, Resulting Numbers: [8, 55]
Generated Node #0,3,2,3: 20:[8, 55] Operation: 57-2=55
Moving to Node #0,1,3
Current State: 20:[46, 25, 30], Operations: ['82-57=25', '74-44=30']
Exploring Operation: 30-25=5, Resulting Numbers: [46, 5]
Generated Node #0,1,3,0: 20:[46, 5] Operation: 30-25=5
Exploring Operation: 46-25=21, Resulting Numbers: [30, 21]
Generated Node #0,1,3,1: 20:[30, 21] Operation: 46-25=21
Exploring Operation: 46+25=71, Resulting Numbers: [30, 71]
Generated Node #0,1,3,2: 20:[30, 71] Operation: 46+25=71
Exploring Operation: 46-30=16, Resulting Numbers: [25, 16]
Generated Node #0,1,3,3: 20:[25, 16] Operation: 46-30=16
Start Sub Search at level 1: Moving to Node #0,1,3,3
Current State: 20:[25, 16], Operations: ['82-57=25', '74-44=30', '46-30=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,20 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3,1
Current State: 20:[30, 21], Operations: ['82-57=25', '74-44=30', '46-25=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,20 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3,0
Current State: 20:[46, 5], Operations: ['82-57=25', '74-44=30', '30-25=5']
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3,2
Current State: 20:[30, 71], Operations: ['82-57=25', '74-44=30', '46+25=71']
Exploring Operation: 30*71=2130, Resulting Numbers: [2130]
2130,20 unequal: No Solution
Exploring Operation: 30+71=101, Resulting Numbers: [101]
101,20 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 20:[44, 17, 36], Operations: ['74-57=17', '82-46=36']
Exploring Operation: 44-17=27, Resulting Numbers: [36, 27]
Generated Node #0,0,3,0: 20:[36, 27] Operation: 44-17=27
Exploring Operation: 44-36=8, Resulting Numbers: [17, 8]
Generated Node #0,0,3,1: 20:[17, 8] Operation: 44-36=8
Exploring Operation: 44+17=61, Resulting Numbers: [36, 61]
Generated Node #0,0,3,2: 20:[36, 61] Operation: 44+17=61
Exploring Operation: 36-17=19, Resulting Numbers: [44, 19]
Generated Node #0,0,3,3: 20:[44, 19] Operation: 36-17=19
Start Sub Search at level 1: Moving to Node #0,0,3,1
Current State: 20:[17, 8], Operations: ['74-57=17', '82-46=36', '44-36=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3,0
Current State: 20:[36, 27], Operations: ['74-57=17', '82-46=36', '44-17=27']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3,3
Current State: 20:[44, 19], Operations: ['74-57=17', '82-46=36', '36-17=19']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3,2
Current State: 20:[36, 61], Operations: ['74-57=17', '82-46=36', '44+17=61']
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 36*61=2196, Resulting Numbers: [2196]
2196,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 20:[46, 17, 38], Operations: ['74-57=17', '82-44=38']
Exploring Operation: 46-38=8, Resulting Numbers: [17, 8]
Generated Node #0,0,2,0: 20:[17, 8] Operation: 46-38=8
Exploring Operation: 38-17=21, Resulting Numbers: [46, 21]
Generated Node #0,0,2,1: 20:[46, 21] Operation: 38-17=21
Exploring Operation: 46+17=63, Resulting Numbers: [38, 63]
Generated Node #0,0,2,2: 20:[38, 63] Operation: 46+17=63
Exploring Operation: 46-17=29, Resulting Numbers: [38, 29]
Generated Node #0,0,2,3: 20:[38, 29] Operation: 46-17=29
Start Sub Search at level 1: Moving to Node #0,0,2,0
Current State: 20:[17, 8], Operations: ['74-57=17', '82-44=38', '46-38=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,20 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,1
Current State: 20:[46, 21], Operations: ['74-57=17', '82-44=38', '38-17=21']
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,20 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,3
Current State: 20:[38, 29], Operations: ['74-57=17', '82-44=38', '46-17=29']
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,20 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2,2
Current State: 20:[38, 63], Operations: ['74-57=17', '82-44=38', '46+17=63']
Exploring Operation: 38+63=101, Resulting Numbers: [101]
101,20 unequal: No Solution
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 38*63=2394, Resulting Numbers: [2394]
2394,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2,1
Current State: 20:[2, 49], Operations: ['82-74=8', '46-44=2', '57-8=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,20 unequal: No Solution
Moving to Node #0,3,2,3
Current State: 20:[8, 55], Operations: ['82-74=8', '46-44=2', '57-2=55']
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,20 unequal: No Solution
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Moving to Node #0,3,2,0
Current State: 20:[57, 4], Operations: ['82-74=8', '46-44=2', '8/2=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,20 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,20 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Moving to Node #0,3,2,2
Current State: 20:[57, 10], Operations: ['82-74=8', '46-44=2', '8+2=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[74, 25, 2], Operations: ['82-57=25', '46-44=2']
Exploring Operation: 74/2=37, Resulting Numbers: [25, 37]
Generated Node #0,1,2,0: 20:[25, 37] Operation: 74/2=37
Exploring Operation: 74-25=49, Resulting Numbers: [2, 49]
Generated Node #0,1,2,1: 20:[2, 49] Operation: 74-25=49
Exploring Operation: 74-2=72, Resulting Numbers: [25, 72]
Generated Node #0,1,2,2: 20:[25, 72] Operation: 74-2=72
Exploring Operation: 25-2=23, Resulting Numbers: [74, 23]
Generated Node #0,1,2,3: 20:[74, 23] Operation: 25-2=23
Moving to Node #0,2,3
Current State: 20:[57, 28, 38], Operations: ['74-46=28', '82-44=38']
Exploring Operation: 57-38=19, Resulting Numbers: [28, 19]
Generated Node #0,2,3,0: 20:[28, 19] Operation: 57-38=19
Exploring Operation: 57-28=29, Resulting Numbers: [38, 29]
Generated Node #0,2,3,1: 20:[38, 29] Operation: 57-28=29
Exploring Operation: 57+28=85, Resulting Numbers: [38, 85]
Generated Node #0,2,3,2: 20:[38, 85] Operation: 57+28=85
Exploring Operation: 38-28=10, Resulting Numbers: [57, 10]
Generated Node #0,2,3,3: 20:[57, 10] Operation: 38-28=10
Start Sub Search at level 1: Moving to Node #0,2,3,0
Current State: 20:[28, 19], Operations: ['74-46=28', '82-44=38', '57-38=19']
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,20 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3,1
Current State: 20:[38, 29], Operations: ['74-46=28', '82-44=38', '57-28=29']
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3,3
Current State: 20:[57, 10], Operations: ['74-46=28', '82-44=38', '38-28=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,20 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3,2
Current State: 20:[38, 85], Operations: ['74-46=28', '82-44=38', '57+28=85']
Exploring Operation: 38+85=123, Resulting Numbers: [123]
123,20 unequal: No Solution
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 38*85=3230, Resulting Numbers: [3230]
3230,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 20:[82, 17, 2], Operations: ['74-57=17', '46-44=2']
Exploring Operation: 17+2=19, Resulting Numbers: [82, 19]
Generated Node #0,0,1,0: 20:[82, 19] Operation: 17+2=19
Exploring Operation: 82-17=65, Resulting Numbers: [2, 65]
Generated Node #0,0,1,1: 20:[2, 65] Operation: 82-17=65
Exploring Operation: 82/2=41, Resulting Numbers: [17, 41]
Generated Node #0,0,1,2: 20:[17, 41] Operation: 82/2=41
Exploring Operation: 82-2=80, Resulting Numbers: [17, 80]
Generated Node #0,0,1,3: 20:[17, 80] Operation: 82-2=80
Moving to Node #0,2,0
Current State: 20:[82, 28, 13], Operations: ['74-46=28', '57-44=13']
Exploring Operation: 82-28=54, Resulting Numbers: [13, 54]
Generated Node #0,2,0,0: 20:[13, 54] Operation: 82-28=54
Exploring Operation: 82-13=69, Resulting Numbers: [28, 69]
Generated Node #0,2,0,1: 20:[28, 69] Operation: 82-13=69
Exploring Operation: 28-13=15, Resulting Numbers: [82, 15]
Generated Node #0,2,0,2: 20:[82, 15] Operation: 28-13=15
Exploring Operation: 82+13=95, Resulting Numbers: [28, 95]
Generated Node #0,2,0,3: 20:[28, 95] Operation: 82+13=95
Start Sub Search at level 1: Moving to Node #0,2,0,0
Current State: 20:[13, 54], Operations: ['74-46=28', '57-44=13', '82-28=54']
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,20 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0,1
Current State: 20:[28, 69], Operations: ['74-46=28', '57-44=13', '82-13=69']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 28*69=1932, Resulting Numbers: [1932]
1932,20 unequal: No Solution
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0,2
Current State: 20:[82, 15], Operations: ['74-46=28', '57-44=13', '28-13=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0,3
Current State: 20:[28, 95], Operations: ['74-46=28', '57-44=13', '82+13=95']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 28+95=123, Resulting Numbers: [123]
123,20 unequal: No Solution
Exploring Operation: 28*95=2660, Resulting Numbers: [2660]
2660,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2,0
Current State: 20:[25, 37], Operations: ['82-57=25', '46-44=2', '74/2=37']
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,20 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,20 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Moving to Node #0,0,1,2
Current State: 20:[17, 41], Operations: ['74-57=17', '46-44=2', '82/2=41']
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,20 unequal: No Solution
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,20 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Moving to Node #0,1,2,1
Current State: 20:[2, 49], Operations: ['82-57=25', '46-44=2', '74-25=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,20 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Moving to Node #0,0,1,1
Current State: 20:[2, 65], Operations: ['74-57=17', '46-44=2', '82-17=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,20 unequal: No Solution
Moving to Node #0,1,2,2
Current State: 20:[25, 72], Operations: ['82-57=25', '46-44=2', '74-2=72']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 25*72=1800, Resulting Numbers: [1800]
1800,20 unequal: No Solution
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Moving to Node #0,1,2,3
Current State: 20:[74, 23], Operations: ['82-57=25', '46-44=2', '25-2=23']
Exploring Operation: 74*23=1702, Resulting Numbers: [1702]
1702,20 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Moving to Node #0,0,1,3
Current State: 20:[17, 80], Operations: ['74-57=17', '46-44=2', '82-2=80']
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 17*80=1360, Resulting Numbers: [1360]
1360,20 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 20:[82, 19], Operations: ['74-57=17', '46-44=2', '17+2=19']
Exploring Operation: 82*19=1558, Resulting Numbers: [1558]
1558,20 unequal: No Solution
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 82+19=101, Resulting Numbers: [101]
101,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[74, 44, 21], Operations: ['82-57=25', '46-25=21']
Exploring Operation: 74+44=118, Resulting Numbers: [21, 118]
Generated Node #0,1,1,0: 20:[21, 118] Operation: 74+44=118
Exploring Operation: 74-44=30, Resulting Numbers: [21, 30]
Generated Node #0,1,1,1: 20:[21, 30] Operation: 74-44=30
Exploring Operation: 44-21=23, Resulting Numbers: [74, 23]
Generated Node #0,1,1,2: 20:[74, 23] Operation: 44-21=23
Exploring Operation: 74-21=53, Resulting Numbers: [44, 53]
Generated Node #0,1,1,3: 20:[44, 53] Operation: 74-21=53
Moving to Node #0,3,1
Current State: 20:[44, 57, 38], Operations: ['82-74=8', '46-8=38']
Exploring Operation: 44-38=6, Resulting Numbers: [57, 6]
Generated Node #0,3,1,0: 20:[57, 6] Operation: 44-38=6
Exploring Operation: 57-44=13, Resulting Numbers: [38, 13]
Generated Node #0,3,1,1: 20:[38, 13] Operation: 57-44=13
Exploring Operation: 44+57=101, Resulting Numbers: [38, 101]
Generated Node #0,3,1,2: 20:[38, 101] Operation: 44+57=101
Exploring Operation: 57-38=19, Resulting Numbers: [44, 19]
Generated Node #0,3,1,3: 20:[44, 19] Operation: 57-38=19
Moving to Node #0,2,2
Current State: 20:[44, 57, 54], Operations: ['74-46=28', '82-28=54']
Exploring Operation: 44+57=101, Resulting Numbers: [54, 101]
Generated Node #0,2,2,0: 20:[54, 101] Operation: 44+57=101
Exploring Operation: 57-44=13, Resulting Numbers: [54, 13]
Generated Node #0,2,2,1: 20:[54, 13] Operation: 57-44=13
Exploring Operation: 54-44=10, Resulting Numbers: [57, 10]
Generated Node #0,2,2,2: 20:[57, 10] Operation: 54-44=10
Exploring Operation: 57-54=3, Resulting Numbers: [44, 3]
Generated Node #0,2,2,3: 20:[44, 3] Operation: 57-54=3
Moving to Node #0,0,0
Current State: 20:[82, 44, 29], Operations: ['74-57=17', '46-17=29']
Exploring Operation: 82+44=126, Resulting Numbers: [29, 126]
Generated Node #0,0,0,0: 20:[29, 126] Operation: 82+44=126
Exploring Operation: 82-44=38, Resulting Numbers: [29, 38]
Generated Node #0,0,0,1: 20:[29, 38] Operation: 82-44=38
Exploring Operation: 44-29=15, Resulting Numbers: [82, 15]
Generated Node #0,0,0,2: 20:[82, 15] Operation: 44-29=15
Exploring Operation: 82-29=53, Resulting Numbers: [44, 53]
Generated Node #0,0,0,3: 20:[44, 53] Operation: 82-29=53
Start Sub Search at level 1: Moving to Node #0,0,0,1
Current State: 20:[29, 38], Operations: ['74-57=17', '46-17=29', '82-44=38']
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 29*38=1102, Resulting Numbers: [1102]
1102,20 unequal: No Solution
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,3
Current State: 20:[44, 53], Operations: ['74-57=17', '46-17=29', '82-29=53']
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 44*53=2332, Resulting Numbers: [2332]
2332,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,2
Current State: 20:[82, 15], Operations: ['74-57=17', '46-17=29', '44-29=15']
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,20 unequal: No Solution
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0,0
Current State: 20:[29, 126], Operations: ['74-57=17', '46-17=29', '82+44=126']
Exploring Operation: 29*126=3654, Resulting Numbers: [3654]
3654,20 unequal: No Solution
Exploring Operation: 126-29=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 29+126=155, Resulting Numbers: [155]
155,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1,1
Current State: 20:[21, 30], Operations: ['82-57=25', '46-25=21', '74-44=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,20 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Moving to Node #0,3,1,1
Current State: 20:[38, 13], Operations: ['82-74=8', '46-8=38', '57-44=13']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,20 unequal: No Solution
Moving to Node #0,3,1,3
Current State: 20:[44, 19], Operations: ['82-74=8', '46-8=38', '57-38=19']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,20 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Moving to Node #0,2,2,3
Current State: 20:[44, 3], Operations: ['74-46=28', '82-28=54', '57-54=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,20 unequal: No Solution
Moving to Node #0,2,2,2
Current State: 20:[57, 10], Operations: ['74-46=28', '82-28=54', '54-44=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,20 unequal: No Solution
Moving to Node #0,2,2,1
Current State: 20:[54, 13], Operations: ['74-46=28', '82-28=54', '57-44=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,20 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,20 unequal: No Solution
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,20 unequal: No Solution
Moving to Node #0,3,1,0
Current State: 20:[57, 6], Operations: ['82-74=8', '46-8=38', '44-38=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,20 unequal: No Solution
Moving to Node #0,1,1,3
Current State: 20:[44, 53], Operations: ['82-57=25', '46-25=21', '74-21=53']
Exploring Operation: 44*53=2332, Resulting Numbers: [2332]
2332,20 unequal: No Solution
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Moving to Node #0,1,1,2
Current State: 20:[74, 23], Operations: ['82-57=25', '46-25=21', '44-21=23']
Exploring Operation: 74*23=1702, Resulting Numbers: [1702]
1702,20 unequal: No Solution
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 20:[21, 118], Operations: ['82-57=25', '46-25=21', '74+44=118']
Exploring Operation: 21*118=2478, Resulting Numbers: [2478]
2478,20 unequal: No Solution
Exploring Operation: 21+118=139, Resulting Numbers: [139]
139,20 unequal: No Solution
Exploring Operation: 118-21=97, Resulting Numbers: [97]
97,20 unequal: No Solution
Moving to Node #0,3,1,2
Current State: 20:[38, 101], Operations: ['82-74=8', '46-8=38', '44+57=101']
Exploring Operation: 101-38=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 38+101=139, Resulting Numbers: [139]
139,20 unequal: No Solution
Exploring Operation: 38*101=3838, Resulting Numbers: [3838]
3838,20 unequal: No Solution
Moving to Node #0,2,2,0
Current State: 20:[54, 101], Operations: ['74-46=28', '82-28=54', '44+57=101']
Exploring Operation: 54+101=155, Resulting Numbers: [155]
155,20 unequal: No Solution
Exploring Operation: 54*101=5454, Resulting Numbers: [5454]
5454,20 unequal: No Solution
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,20 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic | 4 | 18,370 |
[
77,
65,
62,
67,
68
] | 85 | [
"77-65=12",
"67-62=5",
"68+12=80",
"5+80=85"
] | Current State: 85:[77, 65, 62, 67, 68], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [62, 67, 68, 12]
Generated Node #2: [62, 67, 68, 12] from Operation: 77-65=12
Current State: 85:[62, 67, 68, 12], Operations: ['77-65=12']
Exploring Operation: 67-62=5, Resulting Numbers: [68, 12, 5]
Generated Node #3: [68, 12, 5] from Operation: 67-62=5
Current State: 85:[68, 12, 5], Operations: ['77-65=12', '67-62=5']
Exploring Operation: 68+12=80, Resulting Numbers: [5, 80]
Generated Node #4: [5, 80] from Operation: 68+12=80
Current State: 85:[5, 80], Operations: ['77-65=12', '67-62=5', '68+12=80']
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 5 | Current State: 85:[77, 65, 62, 67, 68], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [77, 65, 68, 5]
Generated Node #0,0: 85:[77, 65, 68, 5] Operation: 67-62=5
Exploring Operation: 65-62=3, Resulting Numbers: [77, 67, 68, 3]
Generated Node #0,1: 85:[77, 67, 68, 3] Operation: 65-62=3
Moving to Node #0,0
Current State: 85:[77, 65, 68, 5], Operations: ['67-62=5']
Exploring Operation: 77-65=12, Resulting Numbers: [68, 5, 12]
Generated Node #0,0,0: 85:[68, 5, 12] Operation: 77-65=12
Exploring Operation: 68-65=3, Resulting Numbers: [77, 5, 3]
Generated Node #0,0,1: 85:[77, 5, 3] Operation: 68-65=3
Moving to Node #0,1
Current State: 85:[77, 67, 68, 3], Operations: ['65-62=3']
Exploring Operation: 77-67=10, Resulting Numbers: [68, 3, 10]
Generated Node #0,1,0: 85:[68, 3, 10] Operation: 77-67=10
Exploring Operation: 68-67=1, Resulting Numbers: [77, 3, 1]
Generated Node #0,1,1: 85:[77, 3, 1] Operation: 68-67=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[77, 3, 1], Operations: ['65-62=3', '68-67=1']
Exploring Operation: 77+3=80, Resulting Numbers: [1, 80]
Generated Node #0,1,1,0: 85:[1, 80] Operation: 77+3=80
Exploring Operation: 77+1=78, Resulting Numbers: [3, 78]
Generated Node #0,1,1,1: 85:[3, 78] Operation: 77+1=78
Start Sub Search at level 2: Moving to Node #0,1,1,0
Current State: 85:[1, 80], Operations: ['65-62=3', '68-67=1', '77+3=80']
Exploring Operation: 1*80=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 1+80=81, Resulting Numbers: [81]
81,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1,1
Current State: 85:[3, 78], Operations: ['65-62=3', '68-67=1', '77+1=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[68, 3, 10], Operations: ['65-62=3', '77-67=10']
Exploring Operation: 68+3=71, Resulting Numbers: [10, 71]
Generated Node #0,1,0,0: 85:[10, 71] Operation: 68+3=71
Exploring Operation: 68+10=78, Resulting Numbers: [3, 78]
Generated Node #0,1,0,1: 85:[3, 78] Operation: 68+10=78
Moving to Node #0,1,0,1
Current State: 85:[3, 78], Operations: ['65-62=3', '77-67=10', '68+10=78']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,85 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 85:[10, 71], Operations: ['65-62=3', '77-67=10', '68+3=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 85:[77, 5, 3], Operations: ['67-62=5', '68-65=3']
Exploring Operation: 77+3=80, Resulting Numbers: [5, 80]
Generated Node #0,0,1,0: 85:[5, 80] Operation: 77+3=80
Exploring Operation: 77+5=82, Resulting Numbers: [3, 82]
Generated Node #0,0,1,1: 85:[3, 82] Operation: 77+5=82
Start Sub Search at level 1: Moving to Node #0,0,1,0
Current State: 85:[5, 80], Operations: ['67-62=5', '68-65=3', '77+3=80']
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[77, 65, 62, 67, 68], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [77, 65, 68, 5]
Generated Node #0,0: 85:[77, 65, 68, 5] Operation: 67-62=5
Moving to Node #0,0
Current State: 85:[77, 65, 68, 5], Operations: ['67-62=5']
Exploring Operation: 68-65=3, Resulting Numbers: [77, 5, 3]
Generated Node #0,0,1: 85:[77, 5, 3] Operation: 68-65=3
Moving to Node #0,0,1
Current State: 85:[77, 5, 3], Operations: ['67-62=5', '68-65=3']
Exploring Operation: 77+3=80, Resulting Numbers: [5, 80]
Generated Node #0,0,1,0: 85:[5, 80] Operation: 77+3=80
Moving to Node #0,0,1,0
Current State: 85:[5, 80], Operations: ['67-62=5', '68-65=3', '77+3=80']
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.999436 | hs_2 | mult_heuristic | 2 | 2,180 |
[
32,
26,
83,
3,
86
] | 31 | [
"83-32=51",
"86-26=60",
"60/3=20",
"51-20=31"
] | Current State: 31:[32, 26, 83, 3, 86], Operations: []
Exploring Operation: 83-32=51, Resulting Numbers: [26, 3, 86, 51]
Generated Node #2: [26, 3, 86, 51] from Operation: 83-32=51
Current State: 31:[26, 3, 86, 51], Operations: ['83-32=51']
Exploring Operation: 86-26=60, Resulting Numbers: [3, 51, 60]
Generated Node #3: [3, 51, 60] from Operation: 86-26=60
Current State: 31:[3, 51, 60], Operations: ['83-32=51', '86-26=60']
Exploring Operation: 60/3=20, Resulting Numbers: [51, 20]
Generated Node #4: [51, 20] from Operation: 60/3=20
Current State: 31:[51, 20], Operations: ['83-32=51', '86-26=60', '60/3=20']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 5 | Current State: 31:[32, 26, 83, 3, 86], Operations: []
Exploring Operation: 83-32=51, Resulting Numbers: [26, 3, 86, 51]
Generated Node #0,0: 31:[26, 3, 86, 51] Operation: 83-32=51
Exploring Operation: 86-83=3, Resulting Numbers: [32, 26, 3, 3]
Generated Node #0,1: 31:[32, 26, 3, 3] Operation: 86-83=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[32, 26, 3, 3], Operations: ['86-83=3']
Exploring Operation: 26+3=29, Resulting Numbers: [32, 3, 29]
Generated Node #0,1,0: 31:[32, 3, 29] Operation: 26+3=29
Exploring Operation: 3*3=9, Resulting Numbers: [32, 26, 9]
Generated Node #0,1,1: 31:[32, 26, 9] Operation: 3*3=9
Moving to Node #0,1,1
Current State: 31:[32, 26, 9], Operations: ['86-83=3', '3*3=9']
Exploring Operation: 32-9=23, Resulting Numbers: [26, 23]
Generated Node #0,1,1,0: 31:[26, 23] Operation: 32-9=23
Exploring Operation: 26+9=35, Resulting Numbers: [32, 35]
Generated Node #0,1,1,1: 31:[32, 35] Operation: 26+9=35
Start Sub Search at level 2: Moving to Node #0,1,1,1
Current State: 31:[32, 35], Operations: ['86-83=3', '3*3=9', '26+9=35']
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1,0
Current State: 31:[26, 23], Operations: ['86-83=3', '3*3=9', '32-9=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,31 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Moving to Node #0,1,0
Current State: 31:[32, 3, 29], Operations: ['86-83=3', '26+3=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32, 32]
Generated Node #0,1,0,0: 31:[32, 32] Operation: 3+29=32
Exploring Operation: 32-3=29, Resulting Numbers: [29, 29]
Generated Node #0,1,0,1: 31:[29, 29] Operation: 32-3=29
Moving to Node #0,1,0,0
Current State: 31:[32, 32], Operations: ['86-83=3', '26+3=29', '3+29=32']
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,31 unequal: No Solution
Moving to Node #0,1,0,1
Current State: 31:[29, 29], Operations: ['86-83=3', '26+3=29', '32-3=29']
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[26, 3, 86, 51], Operations: ['83-32=51']
Exploring Operation: 51/3=17, Resulting Numbers: [26, 86, 17]
Generated Node #0,0,0: 31:[26, 86, 17] Operation: 51/3=17
Exploring Operation: 86-51=35, Resulting Numbers: [26, 3, 35]
Generated Node #0,0,1: 31:[26, 3, 35] Operation: 86-51=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[26, 3, 35], Operations: ['83-32=51', '86-51=35']
Exploring Operation: 35-3=32, Resulting Numbers: [26, 32]
Generated Node #0,0,1,0: 31:[26, 32] Operation: 35-3=32
Exploring Operation: 26+3=29, Resulting Numbers: [35, 29]
Generated Node #0,0,1,1: 31:[35, 29] Operation: 26+3=29
Start Sub Search at level 3: Moving to Node #0,0,1,0
Current State: 31:[26, 32], Operations: ['83-32=51', '86-51=35', '35-3=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,31 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
Start Sub Search at level 3: Moving to Node #0,0,1,1
Current State: 31:[35, 29], Operations: ['83-32=51', '86-51=35', '26+3=29']
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,31 unequal: No Solution
No solution found.
Exit Sub Search at level 3
No solution found in sub search
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[26, 86, 17], Operations: ['83-32=51', '51/3=17']
Exploring Operation: 86-17=69, Resulting Numbers: [26, 69]
Generated Node #0,0,0,0: 31:[26, 69] Operation: 86-17=69
Exploring Operation: 86-26=60, Resulting Numbers: [17, 60]
Generated Node #0,0,0,1: 31:[17, 60] Operation: 86-26=60
Moving to Node #0,0,0,0
Current State: 31:[26, 69], Operations: ['83-32=51', '51/3=17', '86-17=69']
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,31 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,31 unequal: No Solution
Moving to Node #0,0,0,1
Current State: 31:[17, 60], Operations: ['83-32=51', '51/3=17', '86-26=60']
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic | 2 | 2,467 |
End of preview.
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