Dataset Viewer
prompt
listlengths 2
2
| completion
listlengths 18
18
| answer
dict | reward
float64 0.16
1
| task
stringclasses 1
value | format_reward_func
float64 0.78
1
| check_answer_reward_func
float64 0
1
|
|---|---|---|---|---|---|---|
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: o and m. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the start and there is no memory, I will make an educated guess based on the fact that 'o' and 'm' are both common letters. I will start with 'o'.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with a common letter ('o'), but it was incorrect. Need to consider less common or more specific patterns in future rounds. The secret rule might involve less frequent letters or a pattern not immediately obvious.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with a common letter ('o'), but it was incorrect. Need to consider less common or more specific patterns in future rounds. The secret rule might involve less frequent letters or a pattern not immediately obvious.\n</MEMORY>\n\nYour 2 letters are: o and r. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous guess was 'o' and it was incorrect, I should consider a letter that is less common or might have a specific pattern. 'r' seems to be a more common letter, so I will guess 'o' again but ensure it's the less obvious one in case the rule involves uncommon letters or specific sequences.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with 'o' again, which was incorrect, indicating that the secret rule might not be based on simple frequency or common usage. Need to explore less common letters or specific patterns that might involve combinations or sequences. The rule could involve less frequent letters or a pattern that is not immediately obvious from common usage.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with 'o' again, which was incorrect, indicating that the secret rule might not be based on simple frequency or common usage. Need to explore less common letters or specific patterns that might involve combinations or sequences. The rule could involve less frequent letters or a pattern that is not immediately obvious from common usage.\n</MEMORY>\n\nYour 2 letters are: a and k. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince 'o' was incorrect and the rule isn't based on simple frequency, I should consider less common letters. 'a' is one of the most common letters, so if the rule involves uncommonness, 'k' might be the better guess.\n</think>\n\n<guess>\nk\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with a less common letter 'k' and was correct. This indicates that the secret rule might involve the less frequent usage of letters. Moving forward, I should focus on less common letters rather than common ones. Additionally, I should keep track of the frequency of my guesses and the correctness to identify any emerging patterns.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with a less common letter 'k' and was correct. This indicates that the secret rule might involve the less frequent usage of letters. Moving forward, I should focus on less common letters rather than common ones. Additionally, I should keep track of the frequency of my guesses and the correctness to identify any emerging patterns.\n</MEMORY>\n\nYour 2 letters are: a and v. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that 'k' was the correct guess before, and considering it's a less common letter, I should stick to this strategy. 'a' is a very common letter, whereas 'v' is less common. Given the previous success with 'k', I'll guess 'v'.\n</think>\n\n<guess>\nv\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with a less common letter 'k' and was correct, indicating that the secret rule might involve the less frequent usage of letters. This round, guessing 'v', another less common letter, was also correct. The secret rule seems to favor less frequently used letters. I should continue to prioritize guessing less common letters in future rounds to improve performance. Additionally, tracking the frequency of my guesses and their correctness will help identify any emerging patterns more effectively.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with a less common letter 'k' and was correct, indicating that the secret rule might involve the less frequent usage of letters. This round, guessing 'v', another less common letter, was also correct. The secret rule seems to favor less frequently used letters. I should continue to prioritize guessing less common letters in future rounds to improve performance. Additionally, tracking the frequency of my guesses and their correctness will help identify any emerging patterns more effectively.\n</MEMORY>\n\nYour 2 letters are: u and j. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous success with guessing less common letters, 'u' and 'j' are both less common. However, 'u' appears more frequently in English than 'j'. Nevertheless, the rule leans towards less common letters. I should stick with 'u'.\n</think>\n\n<guess>\nu\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"m",
"r",
"k",
"v",
"j"
],
"pair": [
[
"o",
"m"
],
[
"o",
"r"
],
[
"a",
"k"
],
[
"a",
"v"
],
[
"u",
"j"
]
]
}
| 0.484444 |
default
| 0.822222 | 0.4 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: s and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round and there's no previous memory, I'll need to make an educated guess. The rule could be anything, but a simple rule might be alphabetical order, where the letter comes after the other in the alphabet. 's' comes after 'a' in the alphabet.\n\nIf the rule is alphabetical order, the correct letter would be 's'.\n</think>\n\n<guess>\ns\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nMy initial guess was based on the alphabetical order rule, which is a common and simple pattern. However, it seems I was incorrect, indicating that the rule might not be as straightforward. Next time, I should consider more complex patterns or rules that might apply. I should also keep track of incorrect guesses to identify any recurring themes in the secret rule.\n</think>\n\n<write>\nWhen guessing the hidden letter, start with simple rules like alphabetical order but be prepared to consider more complex patterns. Keep a record of incorrect guesses to identify any recurring themes in the secret rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen guessing the hidden letter, start with simple rules like alphabetical order but be prepared to consider more complex patterns. Keep a record of incorrect guesses to identify any recurring themes in the secret rule.\n</MEMORY>\n\nYour 2 letters are: t and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 't' and 'a', the simplest rule to consider is alphabetical order. In that case, 'a' would come first. However, considering the hint to keep a record of incorrect guesses, I should also think about any recurring themes in the rule.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess was correct with 'a'. This supports the idea that the secret rule might be as simple as alphabetical order. Given that the rule is consistent across rounds, it is crucial to keep a record of previous guesses and outcomes to identify any recurring patterns. Simple rules should be tested first, as they often work. However, the game also highlighted the importance of considering more complex patterns if simpler rules fail to produce correct guesses.\n</think>\n\n<write>\nStart with simple rules like alphabetical order. Record incorrect guesses to identify recurring themes in the secret rule. Test more complex patterns if initial simple rules fail.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStart with simple rules like alphabetical order. Record incorrect guesses to identify recurring themes in the secret rule. Test more complex patterns if initial simple rules fail.\n</MEMORY>\n\nYour 2 letters are: h and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 'h' and 'i', the secret rule should be simple and consistent. Since 'h' and 'i' are consecutive in the alphabet, the rule might be alphabetical order. If not, we need to consider other possibilities like reverse alphabetical order or other sequences.\n</think>\n\n<guess>\nh\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with the assumption of alphabetical order, which was incorrect. Need to test other simple sequences like reverse alphabetical order or middle-out patterns. Recording incorrect guesses to identify recurring themes in the secret rule is crucial.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with the assumption of alphabetical order, which was incorrect. Need to test other simple sequences like reverse alphabetical order or middle-out patterns. Recording incorrect guesses to identify recurring themes in the secret rule is crucial.\n</MEMORY>\n\nYour 2 letters are: y and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous rule was alphabetical order and that was incorrect, I should test the reverse alphabetical order. If the hidden rule is reverse alphabetical, 'y' would be before 'e'.\n</think>\n\n<guess>\ny\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess 'y' was incorrect, indicating that the secret rule is not reverse alphabetical order. Other simple sequences like reverse alphabetical order should be tested systematically to identify the correct one. I should consider middle-out patterns or other sequential methods systematically to narrow down the possibilities.\n</think>\n\n<write>\nStarted testing with reverse alphabetical order but was incorrect. Need to methodically test other simple sequences like middle-out or sequential patterns. Recording and analyzing incorrect guesses is crucial to identify the correct rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted testing with reverse alphabetical order but was incorrect. Need to methodically test other simple sequences like middle-out or sequential patterns. Recording and analyzing incorrect guesses is crucial to identify the correct rule.\n</MEMORY>\n\nYour 2 letters are: x and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous strategy of testing reverse alphabetical order and being incorrect, I should consider other simple sequences. Middle-out would involve guessing the letter that is in the middle of the alphabet between 'x' and 'e'. The middle letter between 'x' (24th) and 'e' (5th) is 'q' (17th).\n\nIf the rule is sequential, I should guess 'f' (6th), as it is the next letter after 'e' in alphabetical order. Given the previous incorrect guess, I will start with 'q' as it seems more likely to be the middle point.\n</think>\n\n<guess>\nq\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"a",
"a",
"i",
"e",
"e"
],
"pair": [
[
"s",
"a"
],
[
"t",
"a"
],
[
"h",
"i"
],
[
"y",
"e"
],
[
"x",
"e"
]
]
}
| 0.351111 |
default
| 0.955556 | 0.2 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: a and k. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round and there's no memory, I need to make an initial guess. There's no specific rule known yet, so I'll just guess one of the letters.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nSince this is the first round and there was no specific rule to go by, I made an initial guess without any strategic reasoning. Given that the guess was wrong, it suggests that the hidden rule might not be based on a simple random selection. For the next round, I should start by systematically testing each letter to try and deduce the rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nSince this is the first round and there was no specific rule to go by, I made an initial guess without any strategic reasoning. Given that the guess was wrong, it suggests that the hidden rule might not be based on a simple random selection. For the next round, I should start by systematically testing each letter to try and deduce the rule.\n</MEMORY>\n\nYour 2 letters are: o and v. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nI need to start with a systematic approach to deduce the rule. The first step is to test 'o' as a potential rule. If 'o' is the correct letter, then the rule might be based on some characteristic of 'o'. Since I don't have additional context, I will start by guessing 'o'.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nMy initial guess was 'o', but it was incorrect. This suggests that the rule is not simply based on the letter 'o'. Since the rule is consistent across all rounds, I need to consider other possible rules. The next step is to test the other letter 'v'. If 'v' is the correct letter, the rule might be based on some characteristic or position of 'v' relative to 'o'. For example, it could be related to alphabetical order or some other characteristic.\n</think>\n\n<write>\nStart by systematically testing each letter to deduce the rule. If the first guess is incorrect, test the other letter to see if it follows a consistent pattern. Consider characteristics like alphabetical order, symmetry, or any other logical rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStart by systematically testing each letter to deduce the rule. If the first guess is incorrect, test the other letter to see if it follows a consistent pattern. Consider characteristics like alphabetical order, symmetry, or any other logical rule.\n</MEMORY>\n\nYour 2 letters are: o and l. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nI will start by guessing 'o' to see if it follows the secret rule.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted by guessing 'o' and it was incorrect. This indicates that the rule is not based on alphabetical order or the first letter. Next time, I should systematically test each letter while keeping in mind possible symmetrical or positional characteristics. For instance, I can test if the rule is related to the position of the letter in the alphabet or any symmetry in the letters provided.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted by guessing 'o' and it was incorrect. This indicates that the rule is not based on alphabetical order or the first letter. Next time, I should systematically test each letter while keeping in mind possible symmetrical or positional characteristics. For instance, I can test if the rule is related to the position of the letter in the alphabet or any symmetry in the letters provided.\n</MEMORY>\n\nYour 2 letters are: a and r. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous guess of 'o' was incorrect, I need to test systematically. The letters 'a' and 'r' are on opposite ends of the alphabet. The rule might be related to symmetry or the midpoint of the alphabet. Since 'a' is the first letter and 'r' is the 18th, the midpoint is around the 9th letter, which is 'i'. Testing 'i' might help.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted by testing the midpoint of the alphabet between 'a' and 'r', which is 'i'. Given that 'i' was incorrect, the rule seems not to be based on the midpoint. Next time, I should consider other positional or symmetrical properties of the letters, such as the distance from the beginning or end of the alphabet, or any other unique characteristics. For instance, testing letters like 'm' (middle of alphabet) or 'a' and 'r' themselves might be more direct.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted by testing the midpoint of the alphabet between 'a' and 'r', which is 'i'. Given that 'i' was incorrect, the rule seems not to be based on the midpoint. Next time, I should consider other positional or symmetrical properties of the letters, such as the distance from the beginning or end of the alphabet, or any other unique characteristics. For instance, testing letters like 'm' (middle of alphabet) or 'a' and 'r' themselves might be more direct.\n</MEMORY>\n\nYour 2 letters are: o and w. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince the previous guess 'i' was incorrect, I need to consider other positions. 'o' and 'w' are quite far apart in the alphabet. Let's try the midpoint between them, which is 'u'. This might help narrow down the rule.\n</think>\n\n<guess>\nu\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"k",
"v",
"l",
"r",
"w"
],
"pair": [
[
"a",
"k"
],
[
"o",
"v"
],
[
"o",
"l"
],
[
"a",
"r"
],
[
"o",
"w"
]
]
}
| 0.173333 |
default
| 0.866667 | 0 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: e and r. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince there is no previous memory to guide me and it's the first guess, I will start by guessing 'e'.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarting with a random guess ('e') was a reasonable approach since there was no prior information. However, for future rounds, it would be beneficial to consider a more systematic approach to deducing the rule. Perhaps analyzing the frequency of letters in the English language or common letter patterns could provide clues. Also, keeping track of incorrect guesses could help in narrowing down the possibilities.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarting with a random guess ('e') was a reasonable approach since there was no prior information. However, for future rounds, it would be beneficial to consider a more systematic approach to deducing the rule. Perhaps analyzing the frequency of letters in the English language or common letter patterns could provide clues. Also, keeping track of incorrect guesses could help in narrowing down the possibilities.\n</MEMORY>\n\nYour 2 letters are: o and s. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 'o' and 's', a systematic approach is needed. Since the rule is consistent for all rounds, I should think about common patterns or frequencies. The letter 'o' is one of the most common letters in the English language, but 's' is also quite frequent. However, 'o' is more commonly used in the beginning or end of words, while 's' is often a middle consonant. Given the round's context, perhaps the rule is related to the position of the letter in words. 'o' could be a more common starting or ending letter, while 's' could be a more common middle letter.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarting with a common letter like 'o' was a reasonable initial guess, but the incorrect guess suggests that the rule might be more nuanced. Next time, I should consider the frequency and position of letters in words more systematically. Analyzing the context of the letters and their typical usage might help in deducing the rule. For instance, 'o' is often a vowel and can be a starting or ending letter, while 's' is a consonant and commonly appears in the middle of words. Keeping track of letter positions and their frequency could provide valuable insights into the hidden rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarting with a common letter like 'o' was a reasonable initial guess, but the incorrect guess suggests that the rule might be more nuanced. Next time, I should consider the frequency and position of letters in words more systematically. Analyzing the context of the letters and their typical usage might help in deducing the rule. For instance, 'o' is often a vowel and can be a starting or ending letter, while 's' is a consonant and commonly appears in the middle of words. Keeping track of letter positions and their frequency could provide valuable insights into the hidden rule.\n</MEMORY>\n\nYour 2 letters are: i and g. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous experience, 'o' was not the correct guess. Let's consider 'i' and 'g'. 'i' is a vowel and commonly appears in words, often in the middle. 'g' is a consonant and also frequently appears in words, but more often in the middle or at the end. Considering the rule might involve vowels and consonants, and 'i' has a higher frequency and a more versatile usage, it might be the correct guess.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess 'i' was incorrect, suggesting that the rule for selecting the hidden letter is more complex than just frequency or position. The rule might involve a combination of letter types (vowels vs consonants) and their role in common words. 'i' is a vowel and appears frequently, but it doesn't seem to be the correct answer. This implies that the rule could be related to the context in which the letter appears more specifically. For example, the rule might involve letters that are more commonly used in the middle of words, or letters that are not just frequent but also have a specific functional role.\n</think>\n\n<write>\nConsider the context and functional role of letters in common words. The hidden rule might involve letters that are not just frequent but also have a specific functional role, such as being in the middle of words or having a particular phonetic quality.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nConsider the context and functional role of letters in common words. The hidden rule might involve letters that are not just frequent but also have a specific functional role, such as being in the middle of words or having a particular phonetic quality.\n</MEMORY>\n\nYour 2 letters are: a and s. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the context, the hidden rule involves letters with a specific functional role. 'a' is a common vowel and often appears in the middle of words, whereas 's' is a consonant that typically appears at the beginning or end of words. The rule might favor a letter that is more commonly in the middle of words.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe hidden rule likely involves a letter that is more frequently found in the middle of words. While 'a' is a vowel commonly found in the middle, 's' is less likely to be there. This round highlighted the importance of considering the functional roles of letters in common word structures.\n\nThe rule might involve letters that are more central to word composition, such as vowels or common consonants that are often in specific positions.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe hidden rule likely involves a letter that is more frequently found in the middle of words. While 'a' is a vowel commonly found in the middle, 's' is less likely to be there. This round highlighted the importance of considering the functional roles of letters in common word structures.\n\nThe rule might involve letters that are more central to word composition, such as vowels or common consonants that are often in specific positions.\n</MEMORY>\n\nYour 2 letters are: e and f. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous reflection, 'e' is more likely to be in the middle of words compared to 'f'. The rule seems to favor letters that are commonly found in central positions of words, and 'e' fits this description better than 'f'.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"r",
"s",
"g",
"s",
"f"
],
"pair": [
[
"e",
"r"
],
[
"o",
"s"
],
[
"i",
"g"
],
[
"a",
"s"
],
[
"e",
"f"
]
]
}
| 0.173333 |
default
| 0.866667 | 0 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: p and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince there is no prior information and the letters are 'p' and 'o', I will guess based on an assumption that the rule might be related to alphabetical order or frequency. Let's start with the first letter 'p'.\n</think>\n\n<guess>\np\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nI guessed 'p' based on an assumption that the rule might be alphabetical order or frequency. Since the guess was wrong, it suggests that the rule is not based on alphabetical order or frequency. This implies the rule could be something else entirely, such as a specific context or pattern that we need to identify.\n</think>\n\n<write>\nThe rule is not based on alphabetical order or frequency. Future guesses should consider other potential patterns or rules.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule is not based on alphabetical order or frequency. Future guesses should consider other potential patterns or rules.\n</MEMORY>\n\nYour 2 letters are: z and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince the rule is not based on alphabetical order or frequency, I should consider other potential patterns or rules. Common patterns might include positional or thematic rules. Given that 'z' and 'e' are both consonants, a thematic rule could be related to consonants or vowels. But since 'z' is not typically a vowel, it's more likely a consonant-based rule.\n</think>\n\n<guess>\nz\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe rule is not alphabetical or frequency-based, and both 'z' and 'e' are consonants. A potential rule could be related to consonants or vowels. Since 'z' is a consonant and the guess was wrong, the rule might involve vowels. Next time, I should consider rules involving vowels and consonants more explicitly.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule is not alphabetical or frequency-based, and both 'z' and 'e' are consonants. A potential rule could be related to consonants or vowels. Since 'z' is a consonant and the guess was wrong, the rule might involve vowels. Next time, I should consider rules involving vowels and consonants more explicitly.\n</MEMORY>\n\nYour 2 letters are: q and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nThe rule seems to be related to vowels and consonants. 'q' is a consonant and 'a' is a vowel. Since 'q' was guessed wrong, the rule might be that the hidden letter is a vowel. Given that 'a' is a vowel, it fits the pattern.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe rule appears to be based on whether the letter is a vowel or a consonant. By deducing that the correct letter was a vowel when 'q' (a consonant) was incorrect, I was able to make the right guess. This insight suggests that categorizing letters into vowels and consonants could be a useful strategy for guessing the hidden letter.\n\nFuture rounds will benefit from starting with this categorization to narrow down the possibilities.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule appears to be based on whether the letter is a vowel or a consonant. By deducing that the correct letter was a vowel when 'q' (a consonant) was incorrect, I was able to make the right guess. This insight suggests that categorizing letters into vowels and consonants could be a useful strategy for guessing the hidden letter.\n\nFuture rounds will benefit from starting with this categorization to narrow down the possibilities.\n</MEMORY>\n\nYour 2 letters are: x and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nThe previous round's rule was based on vowels and consonants. Since 'x' is a consonant and 'o' is a vowel, the correct letter should be 'o' as it falls into the category that was correct in the previous round.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe correct guess was 'o', which is a vowel. This aligns with the previous round's rule where the correct letter was a vowel. The consistent rule of categorizing letters as vowels or consonants continues to hold true. This suggests that categorizing letters based on their type (vowel/consonant) is a reliable strategy for guessing the hidden letter.\n</think>\n\n<write>\nThe rule is based on categorizing letters as vowels or consonants. Starting each round by guessing a vowel or a consonant based on the previous round's result can help narrow down the possibilities quickly.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule is based on categorizing letters as vowels or consonants. Starting each round by guessing a vowel or a consonant based on the previous round's result can help narrow down the possibilities quickly.\n</MEMORY>\n\nYour 2 letters are: s and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince the rule is based on categorizing letters as vowels or consonants, and 'o' is a vowel while 's' is a consonant, I should guess 'o' based on the previous round's logic.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"o",
"e",
"a",
"o",
"o"
],
"pair": [
[
"p",
"o"
],
[
"z",
"e"
],
[
"q",
"a"
],
[
"x",
"o"
],
[
"s",
"o"
]
]
}
| 0.662222 |
default
| 0.911111 | 0.6 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: o and v. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round, I have no prior information about the secret rule. The two letters given are 'o' and 'v'. I can only make an educated guess based on their alphabetical positions. 'o' is the 15th letter and 'v' is the 22nd letter. The rule could be related to alphabetical position or some other pattern.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nEven though I made an educated guess based on the alphabetical positions of the letters 'o' and 'v', I was incorrect. This suggests that the secret rule might not be based on alphabetical positions alone. Future guesses should consider other possible patterns such as frequency of letters, common pairs, or rules involving positions relative to each other. Starting with a more diverse set of hypotheses could help in deducing the correct rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nEven though I made an educated guess based on the alphabetical positions of the letters 'o' and 'v', I was incorrect. This suggests that the secret rule might not be based on alphabetical positions alone. Future guesses should consider other possible patterns such as frequency of letters, common pairs, or rules involving positions relative to each other. Starting with a more diverse set of hypotheses could help in deducing the correct rule.\n</MEMORY>\n\nYour 2 letters are: u and m. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that the rule isn't based on alphabetical positions, I should consider other common patterns. The letters 'u' and 'm' are both relatively uncommon in English, and they don't form a common pair. However, both are consonants and have symmetrical shapes, which could be a clue. I might consider if there's a rule related to symmetry or consonants.\n</think>\n\n<guess>\nm\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nEven though my initial guess was based on symmetry or consonants, the correct answer was 'm'. This suggests that the secret rule might involve specific properties of the letters like their shapes, positions, or frequency. Future guesses should systematically explore these properties. For example, checking if both letters share a specific attribute (like being a consonant, having a certain shape, or being in a certain position relative to each other) could be a useful strategy.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nEven though my initial guess was based on symmetry or consonants, the correct answer was 'm'. This suggests that the secret rule might involve specific properties of the letters like their shapes, positions, or frequency. Future guesses should systematically explore these properties. For example, checking if both letters share a specific attribute (like being a consonant, having a certain shape, or being in a certain position relative to each other) could be a useful strategy.\n</MEMORY>\n\nYour 2 letters are: i and y. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round's insight, I should systematically check properties of the letters 'i' and 'y'. Both are consonants, but they are also positioned differently in the alphabet. 'i' is a vowel and 'y' can be a vowel or a consonant. Let's check if the secret rule involves the letter being a vowel.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess 'i' was incorrect, which means the secret rule does not involve the letter being a vowel. Given that both 'i' and 'y' are consonants, it suggests that the rule might not explicitly involve vowels or consonants. Instead, it could involve a more specific attribute such as the shape of the letters or their position relative to each other. For example, the rule might be based on which letter is more commonly used or has a particular visual characteristic.\n</think>\n\n<write>\nThe secret rule is not based on the letters being vowels or consonants. It might involve more specific attributes like frequency of use or visual shape. Systematically checking these attributes will help in identifying the rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe secret rule is not based on the letters being vowels or consonants. It might involve more specific attributes like frequency of use or visual shape. Systematically checking these attributes will help in identifying the rule.\n</MEMORY>\n\nYour 2 letters are: o and w. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the rule is not based on vowels or consonants, I should consider other attributes. 'o' is a more frequently used letter than 'w', and 'w' has a unique visual shape. Since 'o' is more common, it is a safer guess based on frequency.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess 'o' was incorrect, indicating that frequency alone is not the rule. The rule seems to involve more specific attributes. 'o' is more frequent but 'w' has a unique visual shape. Next time, I should consider both frequency and visual attributes more systematically. I need to test more specific hypotheses about letter attributes.\n</think>\n\n<write>\nThe rule is not based on letter frequency but involves visual attributes. Testing specific visual characteristics like shape, symmetry, and complexity will be more effective. Systematically evaluating these attributes will help in identifying the rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule is not based on letter frequency but involves visual attributes. Testing specific visual characteristics like shape, symmetry, and complexity will be more effective. Systematically evaluating these attributes will help in identifying the rule.\n</MEMORY>\n\nYour 2 letters are: i and y. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the rule is based on visual attributes, I should consider the shape, symmetry, and complexity of the letters 'i' and 'y'. \n\nThe letter 'i' is a straight line with a dot on top, which is very simple and symmetrical. The letter 'y' has a more complex and asymmetrical shape.\n\nBased on this, the hidden rule might be favoring simplicity and symmetry.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"v",
"m",
"y",
"w",
"y"
],
"pair": [
[
"o",
"v"
],
[
"u",
"m"
],
[
"i",
"y"
],
[
"o",
"w"
],
[
"i",
"y"
]
]
}
| 0.342222 |
default
| 0.911111 | 0.2 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: h and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the start, I know nothing about the secret rule. I will guess one of the letters at random to begin with.\n</think>\n\n<guess>\nh\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nI guessed 'h' randomly, but it was incorrect. Since the rule is the same for every round, it's important to look for patterns in the feedback across multiple rounds. In this round, I should have kept the guess open-ended and try to gather more information in future rounds.\n</think>\n\n<write>\nRandom guessing did not work. Need to observe patterns in feedback to deduce the secret rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nRandom guessing did not work. Need to observe patterns in feedback to deduce the secret rule.\n</MEMORY>\n\nYour 2 letters are: j and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the feedback from previous rounds, random guessing is ineffective. I need to look for patterns in the feedback from my guesses. Since I don't have previous data, I will start with an educated guess based on the symmetry or frequency of letters in the English language.\n</think>\n\n<guess>\nj\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe initial guess of 'j' was incorrect. This suggests that the secret rule might involve a pattern other than simple symmetry or frequency. Given that 'j' and 'i' are adjacent in the alphabet, the rule might be related to alphabetical positioning or some other sequence rule.\n</think>\n\n<write>\nIf the guess 'j' was wrong, the rule could involve alphabetical positioning or a sequence other than simple frequency. Need to consider other possible rules such as alphabetical order, reverse order, or other patterns.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nIf the guess 'j' was wrong, the rule could involve alphabetical positioning or a sequence other than simple frequency. Need to consider other possible rules such as alphabetical order, reverse order, or other patterns.\n</MEMORY>\n\nYour 2 letters are: w and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that 'j' was wrong, I should consider other patterns. The letters 'w' and 'i' are not close in the alphabet, so it's not a simple alphabetical order or reverse alphabetical order. Given the previous wrong guess, I'll test a different pattern like the reverse of alphabetical order or a specific rule involving positions in the alphabet.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe guess 'a' was incorrect, which suggests that the rule is not a simple reverse alphabetical order or a straightforward alphabetical position. Given the previous wrong guess 'j', it seems the rule might involve a more complex pattern or a rule that is not directly related to the positions of 'w' and 'i' in the alphabet.\n\nStrategies to consider:\n1. Test more complex patterns such as mirrored positions in the alphabet (e.g., if one letter is 3rd, the other might be 20th).\n2. Consider the reverse of mirrored positions (e.g., if one letter is 3rd, the other might be 23rd).\n3. Explore other numerical or positional rules that might not be immediately obvious.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe guess 'a' was incorrect, which suggests that the rule is not a simple reverse alphabetical order or a straightforward alphabetical position. Given the previous wrong guess 'j', it seems the rule might involve a more complex pattern or a rule that is not directly related to the positions of 'w' and 'i' in the alphabet.\n\nStrategies to consider:\n1. Test more complex patterns such as mirrored positions in the alphabet (e.g., if one letter is 3rd, the other might be 20th).\n2. Consider the reverse of mirrored positions (e.g., if one letter is 3rd, the other might be 23rd).\n3. Explore other numerical or positional rules that might not be immediately obvious.\n</MEMORY>\n\nYour 2 letters are: g and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous guess 'a' was incorrect, I need to consider more complex patterns. The letters 'g' and 'e' are both close to the middle of the alphabet. Testing mirrored positions, if 'g' (6th) is mirrored, it might be 21st (v), but 'e' (5th) would be 22nd (w), which seems too far off. Testing the reverse of mirrored positions, 'g' (6th) would be 22nd (v) and 'e' (5th) would be 21st (u), which also seems too far off. \n\nAnother potential pattern could be a numerical difference. The difference between 'g' and 'e' is 2. Testing if this difference is applied in reverse, the letter before 'e' (5th) would be 'd' (4th), and the letter before 'g' (6th) would be 'f' (5th), which isn't a clear match.\n\nGiven the close proximity of the letters and the complexity of the rule, I should consider a direct numerical pattern that doesn't involve reversing positions.\n</think>\n\n<guess>\nd\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe rule is not a simple mirrored or direct numerical difference. Given 'g' and 'e', my guess of 'd' was incorrect, suggesting that the rule involves a more intricate pattern or a specific position-based logic that I haven't yet identified.\n\nStrategies to consider:\n1. Direct numerical patterns: Test if the difference between the positions of the letters in the alphabet is applied in a different way (e.g., if the difference is 2, test if the rule involves adding or subtracting a specific number from a base position).\n2. Position-based patterns: Consider if the letters are positioned in a specific way relative to each other (e.g., one letter is always a certain number of positions before or after the other).\n3. Explore patterns involving the median or midpoint of the alphabet range (e.g., if the letters are close, the hidden letter might be the midpoint of their positions).\n\nIn future rounds, I should systematically test a range of numerical and positional patterns to narrow down the rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule is not a simple mirrored or direct numerical difference. Given 'g' and 'e', my guess of 'd' was incorrect, suggesting that the rule involves a more intricate pattern or a specific position-based logic that I haven't yet identified.\n\nStrategies to consider:\n1. Direct numerical patterns: Test if the difference between the positions of the letters in the alphabet is applied in a different way (e.g., if the difference is 2, test if the rule involves adding or subtracting a specific number from a base position).\n2. Position-based patterns: Consider if the letters are positioned in a specific way relative to each other (e.g., one letter is always a certain number of positions before or after the other).\n3. Explore patterns involving the median or midpoint of the alphabet range (e.g., if the letters are close, the hidden letter might be the midpoint of their positions).\n\nIn future rounds, I should systematically test a range of numerical and positional patterns to narrow down the rule.\n</MEMORY>\n\nYour 2 letters are: s and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 's' and 'a', I should test the position-based patterns and numerical differences. The position of 's' is 19 and 'a' is 1. The difference is 18, which is significant and suggests a specific pattern might be involved. Testing the midpoint of these positions could be a good approach since the previous attempt of 'd' (4th position) was incorrect.\n</think>\n\n<guess>\nm\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"a",
"i",
"i",
"e",
"a"
],
"pair": [
[
"h",
"a"
],
[
"j",
"i"
],
[
"w",
"i"
],
[
"g",
"e"
],
[
"s",
"a"
]
]
}
| 0.182222 |
default
| 0.911111 | 0 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: a and t. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round and we have no prior information, I will guess one of the provided letters. I'll start with 'a'.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nI guessed 'a' and was incorrect. Since the hidden rule is the same for every round, I need to consider other possibilities. The rule could be based on alphabetical order, frequency of use, or other patterns. Next time, I should try 'b' to see if it follows a different pattern.\n</think>\n\n<write>\nThe rule is not 'a' based on the first round. I should consider 'b' next.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe rule is not 'a' based on the first round. I should consider 'b' next.\n</MEMORY>\n\nYour 2 letters are: o and s. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous memory, the rule is not 'a'. Since the two letters provided are 'o' and 's', and we need to guess one of them, the rule might be based on the position in the alphabet or another pattern. Since 'a' is not the rule, and 'o' and 's' are consecutive letters with 's' being the letter right after 'o', the rule might be the next letter in the sequence. Thus, the correct letter could be 's'.\n</think>\n\n<guess>\ns\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe rule was 's' in this round, which is the letter immediately following 'o' in the alphabet. This suggests that the hidden rule might be based on sequential order, such as alphabetical order.\n</think>\n\n<write>\nThe hidden rule appears to be the letter that comes next in alphabetical order from the given set of letters. This strategy can be applied in future rounds to improve guessing performance.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe hidden rule appears to be the letter that comes next in alphabetical order from the given set of letters. This strategy can be applied in future rounds to improve guessing performance.\n</MEMORY>\n\nYour 2 letters are: i and j. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 'i' and 'j', the rule is to pick the letter that comes next in alphabetical order. The letter after 'i' is 'j'. So, the correct letter should be 'j'.\n</think>\n\n<guess>\nj\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe hidden rule is consistently the letter that comes next in alphabetical order from the given set of letters. This strategy can be reliably applied in future rounds to make correct guesses. Always consider the sequential nature of the alphabet when determining the hidden letter.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe hidden rule is consistently the letter that comes next in alphabetical order from the given set of letters. This strategy can be reliably applied in future rounds to make correct guesses. Always consider the sequential nature of the alphabet when determining the hidden letter.\n</MEMORY>\n\nYour 2 letters are: o and w. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 'o' and 'w', the hidden letter should be the one that comes next in alphabetical order. 'o' is followed by 'p', and 'w' is followed by 'x'. However, since we need to choose between 'o' and 'w', and the rule dictates the next letter in the sequence, the next letter after 'o' is 'p', and after 'w' is 'x'. Since 'p' is alphabetically before 'x', the correct hidden letter should be 'p'.\n</think>\n\n<guess>\np\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe hidden rule is consistently the letter that comes next in alphabetical order from the given set of letters. However, my guess was incorrect this time. This might be due to a misinterpretation or a special rule that was not strictly alphabetical. For future rounds, I should double-check the alphabetical sequence but also be open to other possible rules that might involve skipping letters or using a different sequence altogether. Always consider the possibility of variations in the rule and test different sequences.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe hidden rule is consistently the letter that comes next in alphabetical order from the given set of letters. However, my guess was incorrect this time. This might be due to a misinterpretation or a special rule that was not strictly alphabetical. For future rounds, I should double-check the alphabetical sequence but also be open to other possible rules that might involve skipping letters or using a different sequence altogether. Always consider the possibility of variations in the rule and test different sequences.\n</MEMORY>\n\nYour 2 letters are: u and w. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous rule, the letter following 'u' alphabetically is 'v'. However, considering the potential for variations, I should test the sequence from 'u' to 'w' for any skips or reverse sequences.\n</think>\n\n<guess>\nv\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"t",
"s",
"j",
"w",
"w"
],
"pair": [
[
"a",
"t"
],
[
"o",
"s"
],
[
"i",
"j"
],
[
"o",
"w"
],
[
"u",
"w"
]
]
}
| 0.502222 |
default
| 0.911111 | 0.4 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: v and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince the rule is the same for every round, I need to think about common patterns or rules that could apply to both 'v' and 'e'. One simple rule could be that the hidden letter is the one that appears more frequently in the English language. 'e' is much more common than 'v'. Another rule could be alphabetical order, where the hidden letter is the one that comes first alphabetically. 'e' also comes before 'v' alphabetically.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nI guessed 'e' based on the frequency of letters in the English language and the alphabetical order. Given that my guess was correct, it suggests that frequency might be a strong indicator. However, I should also consider other potential rules such as phonetic patterns, common letter combinations, or even position in the word. Next time, I should try to formulate a broader set of hypotheses and test them systematically.\n</think>\n\n<write>\nWhen presented with two letters, guessing based on letter frequency in the English language was successful. Additionally, considering alphabetical order can also be a useful rule. For future rounds, it's important to generate a hypothesis set that includes frequency, phonetics, common letter combinations, and word position to increase the chances of a correct guess.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen presented with two letters, guessing based on letter frequency in the English language was successful. Additionally, considering alphabetical order can also be a useful rule. For future rounds, it's important to generate a hypothesis set that includes frequency, phonetics, common letter combinations, and word position to increase the chances of a correct guess.\n</MEMORY>\n\nYour 2 letters are: c and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the rule is consistent across rounds, I should consider the frequency and commonality of these letters. Both 'c' and 'e' are common letters, but 'e' is more frequent. Also, 'e' is more frequently the first letter in words compared to 'c'. Based on this, I should guess 'e'.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nWhen presented with 'c' and 'e', the correct guess was 'e'. This reinforces the importance of considering letter frequency and common usage patterns. 'e' is one of the most commonly used letters in the English language and often appears at the beginning of words. By leveraging such patterns, the probability of a correct guess increases. For future rounds, I should prioritize letters that are more frequent and commonly used in word structures.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen presented with 'c' and 'e', the correct guess was 'e'. This reinforces the importance of considering letter frequency and common usage patterns. 'e' is one of the most commonly used letters in the English language and often appears at the beginning of words. By leveraging such patterns, the probability of a correct guess increases. For future rounds, I should prioritize letters that are more frequent and commonly used in word structures.\n</MEMORY>\n\nYour 2 letters are: f and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round, 'e' was the correct guess when presented with 'c' and 'e'. This suggests that the rule might involve common letter usage or frequency. Among 'f' and 'a', 'a' is a very common letter and often appears in the beginning and middle of words, while 'f' is less frequent. The rule seems to favor more common letters.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe correct guess was 'a' when presented with 'f' and 'a'. This further reinforces the importance of considering letter frequency and common usage patterns. 'a' is one of the most common letters in the English language and often appears in various positions within words. The secret rule seems to consistently favor more frequently used letters. By prioritizing common letters, the probability of a correct guess significantly increases.\n</think>\n\n<write>\nWhen presented with two letters, prioritize guessing the more frequently used letter, as it aligns with common letter usage patterns in the English language. The secret rule favors common letters, so leveraging this knowledge improves the likelihood of a correct guess.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen presented with two letters, prioritize guessing the more frequently used letter, as it aligns with common letter usage patterns in the English language. The secret rule favors common letters, so leveraging this knowledge improves the likelihood of a correct guess.\n</MEMORY>\n\nYour 2 letters are: p and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the common letter usage patterns, 'p' is less frequent compared to 'i'. 'i' is more commonly used in the English language, especially in the context of the secret rule favoring common letters.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nWhen presented with two letters, prioritizing the more frequently used letter significantly improves the chances of a correct guess. In this case, 'i' is a more commonly used letter than 'p', aligning with the common letter usage patterns in the English language and the secret rule that favors such letters.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen presented with two letters, prioritizing the more frequently used letter significantly improves the chances of a correct guess. In this case, 'i' is a more commonly used letter than 'p', aligning with the common letter usage patterns in the English language and the secret rule that favors such letters.\n</MEMORY>\n\nYour 2 letters are: l and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nThe secret rule seems to favor more commonly used letters. 'l' and 'o' are both common letters, but 'o' is more frequently used in English than 'l'.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"e",
"e",
"a",
"i",
"o"
],
"pair": [
[
"v",
"e"
],
[
"c",
"e"
],
[
"f",
"a"
],
[
"p",
"i"
],
[
"l",
"o"
]
]
}
| 0.982222 |
default
| 0.911111 | 1 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: y and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the start and there is no previous memory to guide me, I'll make an arbitrary guess between 'y' and 'i'. I'll choose 'y' for this round.\n</think>\n\n<guess>\ny\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nSince the guess 'y' was wrong, I need to consider the rule more carefully. The rule could involve alphabetical order, frequency of occurrence, or some other pattern. I should try to think about common rules that might be used to select the hidden letter and test them in subsequent rounds.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nSince the guess 'y' was wrong, I need to consider the rule more carefully. The rule could involve alphabetical order, frequency of occurrence, or some other pattern. I should try to think about common rules that might be used to select the hidden letter and test them in subsequent rounds.\n</MEMORY>\n\nYour 2 letters are: x and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that 'y' was incorrect, I need to consider common patterns or rules for letter selection. One simple rule could be the alphabetical position (order) of the letters. 'x' is the 24th letter and 'i' is the 9th. If the rule is about order, and 'y' (25th) was wrong, the correct letter might be the one that comes before 'y' in alphabetical order. So, 'i' could be the correct letter.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarting with the assumption that the rule involves alphabetical order was a good hypothesis. Given that 'y' was incorrect and considering the positions of 'x' (24th) and 'i' (9th), choosing 'i' as it comes before 'y' turned out to be correct. This suggests that understanding common rules like alphabetical order is crucial. In future rounds, I should systematically test simple yet common rules to narrow down the correct letter. Additionally, keeping track of incorrect guesses and their positions could provide further insights into the rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarting with the assumption that the rule involves alphabetical order was a good hypothesis. Given that 'y' was incorrect and considering the positions of 'x' (24th) and 'i' (9th), choosing 'i' as it comes before 'y' turned out to be correct. This suggests that understanding common rules like alphabetical order is crucial. In future rounds, I should systematically test simple yet common rules to narrow down the correct letter. Additionally, keeping track of incorrect guesses and their positions could provide further insights into the rule.\n</MEMORY>\n\nYour 2 letters are: w and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nConsidering the previous round where 'y' was incorrect and 'i' was correct, and knowing 'w' comes after 'i' in the alphabet, it suggests that the rule might involve choosing the letter that comes earlier in the alphabet. Testing 'w' would confirm if the rule is to pick the letter that is alphabetically earlier.\n</think>\n\n<guess>\nw\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarting with the assumption that the rule involves alphabetical order was correct, but I should have tested the other letter 'i' to confirm the rule more thoroughly. Given that 'w' is alphabetically after 'i', and 'i' was the correct letter, it confirms the rule is to pick the letter that comes earlier in the alphabet. Moving forward, I should systematically test both letters in each round to ensure the rule is understood accurately. Additionally, documenting the rules and testing them on multiple rounds could help in identifying consistent patterns and improving guessing performance.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarting with the assumption that the rule involves alphabetical order was correct, but I should have tested the other letter 'i' to confirm the rule more thoroughly. Given that 'w' is alphabetically after 'i', and 'i' was the correct letter, it confirms the rule is to pick the letter that comes earlier in the alphabet. Moving forward, I should systematically test both letters in each round to ensure the rule is understood accurately. Additionally, documenting the rules and testing them on multiple rounds could help in identifying consistent patterns and improving guessing performance.\n</MEMORY>\n\nYour 2 letters are: l and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous experience, the rule seems to be picking the letter that comes earlier in the alphabet. Between 'l' and 'e', 'e' comes earlier in the alphabet.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarting with the assumption that the rule involves alphabetical order was correct. Testing both letters systematically confirmed the rule, as 'e' comes earlier in the alphabet than 'l'. Documenting the rule and applying it consistently improved the guessing performance. Next time, I should continue to use alphabetical order as the primary rule and test both letters to ensure accuracy. Additionally, keeping a record of the rules and outcomes from each round can help in identifying consistent patterns and improving guessing performance even more.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarting with the assumption that the rule involves alphabetical order was correct. Testing both letters systematically confirmed the rule, as 'e' comes earlier in the alphabet than 'l'. Documenting the rule and applying it consistently improved the guessing performance. Next time, I should continue to use alphabetical order as the primary rule and test both letters to ensure accuracy. Additionally, keeping a record of the rules and outcomes from each round can help in identifying consistent patterns and improving guessing performance even more.\n</MEMORY>\n\nYour 2 letters are: z and u. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the rule is based on alphabetical order and 'z' comes after 'u', the correct letter should be 'u'.\n</think>\n\n<guess>\nu\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"i",
"i",
"i",
"e",
"u"
],
"pair": [
[
"y",
"i"
],
[
"x",
"i"
],
[
"w",
"i"
],
[
"l",
"e"
],
[
"z",
"u"
]
]
}
| 0.644444 |
default
| 0.822222 | 0.6 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: c and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince there is no previous memory, I'll start by guessing one of the letters. Given that the rule is the same for every round, the correct letter could be either 'c' or 'a'.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with a random guess since there was no prior information. The correct guess was 'a'. This suggests that the hidden rule could be straightforward or based on a common pattern. Next time, I should consider simple patterns like alphabetical order or frequency of letters.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with a random guess since there was no prior information. The correct guess was 'a'. This suggests that the hidden rule could be straightforward or based on a common pattern. Next time, I should consider simple patterns like alphabetical order or frequency of letters.\n</MEMORY>\n\nYour 2 letters are: j and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince the previous guess 'a' was correct and the rule seemed straightforward, I'll consider simple patterns again. The letters 'j' and 'i' are consecutive in the alphabet. So the correct letter might be 'i'.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nBegan with a simple alphabetical order pattern, which proved correct. This indicates that the hidden rule might often be based on basic linguistic patterns like alphabetical order or frequency. Remember to prioritize simple, common patterns when making guesses.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nBegan with a simple alphabetical order pattern, which proved correct. This indicates that the hidden rule might often be based on basic linguistic patterns like alphabetical order or frequency. Remember to prioritize simple, common patterns when making guesses.\n</MEMORY>\n\nYour 2 letters are: h and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round, I used alphabetical order and it was correct. The hidden rule seems to be alphabetical order, so I should guess 'a'.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nBegan with the hypothesis that the hidden rule was alphabetical order, which turned out to be correct. This reinforces the strategy of prioritizing simple, common linguistic patterns like alphabetical order or frequency. Remember to start with these basic patterns and proceed to more complex ones if the simple ones do not yield results.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nBegan with the hypothesis that the hidden rule was alphabetical order, which turned out to be correct. This reinforces the strategy of prioritizing simple, common linguistic patterns like alphabetical order or frequency. Remember to start with these basic patterns and proceed to more complex ones if the simple ones do not yield results.\n</MEMORY>\n\nYour 2 letters are: l and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round where alphabetical order worked, I should start with that hypothesis again. 'l' comes before 'o' in alphabetical order, so it's a strong candidate. However, I should also consider frequency, although in this case, both letters are equally common and don't provide a clearer answer.\n</think>\n\n<guess>\nl\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe hypothesis of alphabetical order did not yield the correct answer. This suggests that while alphabetical order is a common and simple pattern, it might not be the only or the underlying rule. I should expand my hypothesis set to include other common linguistic patterns such as frequency of letters, common pairs, or other ordering principles like reverse alphabetical order or numerical order if the letters were digits.\n</think>\n\n<write>\nBegan with the hypothesis that the hidden rule was alphabetical order, which turned out to be incorrect. Expanding the hypothesis set to include other common linguistic patterns such as frequency of letters, common pairs, or reverse alphabetical order might improve future guessing performance.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nBegan with the hypothesis that the hidden rule was alphabetical order, which turned out to be incorrect. Expanding the hypothesis set to include other common linguistic patterns such as frequency of letters, common pairs, or reverse alphabetical order might improve future guessing performance.\n</MEMORY>\n\nYour 2 letters are: g and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous hypothesis that alphabetical order did not apply, I should consider common letter frequencies. The most common letter in the English language is 'e'. Another common pattern is the second most frequent letter, which is 't'. 'a' is also quite common. Given the two letters 'g' and 'a', 'a' seems more likely to be the correct answer based on frequency, unless there is a stronger reason to believe 'g' is the answer.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"a",
"i",
"a",
"o",
"a"
],
"pair": [
[
"c",
"a"
],
[
"j",
"i"
],
[
"h",
"a"
],
[
"l",
"o"
],
[
"g",
"a"
]
]
}
| 0.813333 |
default
| 0.866667 | 0.8 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: t and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince the rule is the same for every round and there are only two letters, 't' and 'i', the correct letter could be either one. Without any additional context or clues, I will guess 't' based on the alphabetical order.\n</think>\n\n<guess>\nt\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nEven with only two letters, guessing the correct one was challenging without additional context or a pattern to follow. The alphabetical order approach was a simple strategy, but it didn't work this time. Next time, I should consider more systematic or rule-based methods to deduce the hidden rule. For example, if the rule involves alphabetical order, it might also involve other patterns like frequency of letters, commonness in words, or even the position of the letters in the alphabet.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nEven with only two letters, guessing the correct one was challenging without additional context or a pattern to follow. The alphabetical order approach was a simple strategy, but it didn't work this time. Next time, I should consider more systematic or rule-based methods to deduce the hidden rule. For example, if the rule involves alphabetical order, it might also involve other patterns like frequency of letters, commonness in words, or even the position of the letters in the alphabet.\n</MEMORY>\n\nYour 2 letters are: p and u. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that the rule is consistent across rounds and the letters 'p' and 'u' do not follow alphabetical order, I should consider if there's a rule based on the position in the alphabet. 'p' is the 16th letter, and 'u' is the 21st. The difference is 5, which is a significant number and could indicate a rule based on position. However, I should also consider other common rules like frequency or commonality in words. Since no such information is provided, I will go with the position difference as a hypothesis.\n</think>\n\n<guess>\np\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nBased on the result, my hypothesis that the rule was based on the position difference in the alphabet was incorrect. The correct answer was 'u', which is the 21st letter, and 'p' is the 16th. The difference here is also 5, but clearly, the rule didn't involve a simple position difference. This suggests that the rule might involve a more complex relationship or a different pattern altogether. Given that the rule is consistent across rounds, it's important to consider a broader range of potential rules, such as alphabetical order, frequency, commonality, or even a fixed offset that doesn't follow a simple linear pattern.\n</think>\n\n<write>\nThe correct letter was 'u', indicating that the rule might involve a more complex relationship than a simple position difference or alphabetical order. Future strategies should explore a wider range of potential rules, including frequency, commonality, and fixed offsets that don't follow a simple linear pattern.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe correct letter was 'u', indicating that the rule might involve a more complex relationship than a simple position difference or alphabetical order. Future strategies should explore a wider range of potential rules, including frequency, commonality, and fixed offsets that don't follow a simple linear pattern.\n</MEMORY>\n\nYour 2 letters are: f and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that the previous rule didn't follow a simple linear difference and considering the letters 'f' and 'e', I should think about commonality or fixed offsets that are not straightforward.\n\nThe letters 'f' and 'e' are adjacent in the alphabet, and 'e' is one position before 'f'. It's possible the rule involves a fixed offset, but not a simple +1 or -1 difference.\n\nLet's consider other frequent letters in the English language, like 'e', 't', 'a', etc. 'e' is quite common and could be a fixed offset away from 'f' or 'e'.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe correct letter was 'e', which aligns with its common occurrence in the English language. This reinforces the importance of considering frequent letters as potential answers when the rule isn't immediately obvious from position differences.\n\nFuture strategies should include:\n1. Focusing on frequently used letters.\n2. Exploring fixed offsets beyond simple +1 or -1.\n3. Considering the context and frequency of letters in the hidden rule.\n\nThis round highlights the value of leveraging knowledge about letter frequency in English to make informed guesses.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe correct letter was 'e', which aligns with its common occurrence in the English language. This reinforces the importance of considering frequent letters as potential answers when the rule isn't immediately obvious from position differences.\n\nFuture strategies should include:\n1. Focusing on frequently used letters.\n2. Exploring fixed offsets beyond simple +1 or -1.\n3. Considering the context and frequency of letters in the hidden rule.\n\nThis round highlights the value of leveraging knowledge about letter frequency in English to make informed guesses.\n</MEMORY>\n\nYour 2 letters are: p and u. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous experience, 'e' was the correct letter and it was likely due to its high frequency in English. However, 'p' and 'u' don't give a clear positional hint. Since the rule seems to involve frequent letters, and considering the commonality of 'e', it's a good guess to stick with it.\n\nBut let's also consider if there's any fixed offset or pattern that could apply here. If we think of common letter pairs, 'pu' isn't a typical pair, but the frequency of 'e' is high enough to warrant a guess.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe correct letter was not 'e' this time, which means my guess was incorrect. This reinforces the importance of not relying solely on letter frequency without considering other potential patterns or rules.\n\nFuture strategies should include:\n1. Exploring more letter pairs and contexts to identify common patterns.\n2. Considering fixed offsets or transformations beyond simple frequency.\n3. Using a process of elimination based on common letter combinations and patterns.\n\nThis round highlights the need to diversify approaches and not to assume a single solution fits all cases.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe correct letter was not 'e' this time, which means my guess was incorrect. This reinforces the importance of not relying solely on letter frequency without considering other potential patterns or rules.\n\nFuture strategies should include:\n1. Exploring more letter pairs and contexts to identify common patterns.\n2. Considering fixed offsets or transformations beyond simple frequency.\n3. Using a process of elimination based on common letter combinations and patterns.\n\nThis round highlights the need to diversify approaches and not to assume a single solution fits all cases.\n</MEMORY>\n\nYour 2 letters are: b and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round's memory, I need to explore other possible patterns beyond frequency. The letters 'b' and 'i' might have a specific relationship or transformation that could be the secret rule. Considering common letter pairs or simple transformations could help.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"i",
"u",
"e",
"u",
"i"
],
"pair": [
[
"t",
"i"
],
[
"p",
"u"
],
[
"f",
"e"
],
[
"p",
"u"
],
[
"b",
"i"
]
]
}
| 0.493333 |
default
| 0.866667 | 0.4 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: n and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nGiven that this is the start and the rule is the same for every round, I need to make an educated guess. Since there's no additional information, I will guess 'n' as it is the first letter alphabetically.\n</think>\n\n<guess>\nn\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nSince the result was wrong, I should consider different strategies. Guessing based on alphabetical order might not be the best approach if the rule is not related to alphabetical order. For future rounds, I should try to think of common patterns or rules that might apply to letter selection. For example, the hidden letter might be the one that appears more frequently in the English language, or it could be the first letter of a word that is commonly used.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nSince the result was wrong, I should consider different strategies. Guessing based on alphabetical order might not be the best approach if the rule is not related to alphabetical order. For future rounds, I should try to think of common patterns or rules that might apply to letter selection. For example, the hidden letter might be the one that appears more frequently in the English language, or it could be the first letter of a word that is commonly used.\n</MEMORY>\n\nYour 2 letters are: x and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the rule might not be related to alphabetical order, I should consider common patterns. The letter 'i' is more frequently used in the English language than 'x'. It's plausible that the rule is related to frequency of use.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe correct letter was 'i', which is more frequently used in the English language than 'x'. This round confirms that guessing based on the frequency of letters in the English language could be a useful strategy. I should consider other common patterns like being the first letter of common words or other statistical tendencies in future rounds.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe correct letter was 'i', which is more frequently used in the English language than 'x'. This round confirms that guessing based on the frequency of letters in the English language could be a useful strategy. I should consider other common patterns like being the first letter of common words or other statistical tendencies in future rounds.\n</MEMORY>\n\nYour 2 letters are: h and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the strategy from the previous memory, I should guess the more common letter between 'h' and 'o'. The letter 'o' is more frequently used in the English language than 'h'. This is based on the frequency of letters in words.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe correct letter was 'o', which aligns with the frequency of letters in the English language. This supports the strategy of guessing based on letter frequency. In future rounds, I should continue to prioritize letters that are commonly used, especially those that appear as the first letter of common words. Additionally, considering other statistical tendencies, such as the second letter in common words, might also enhance the guessing strategy.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe correct letter was 'o', which aligns with the frequency of letters in the English language. This supports the strategy of guessing based on letter frequency. In future rounds, I should continue to prioritize letters that are commonly used, especially those that appear as the first letter of common words. Additionally, considering other statistical tendencies, such as the second letter in common words, might also enhance the guessing strategy.\n</MEMORY>\n\nYour 2 letters are: g and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round, 'o' was the correct letter, and it aligns with the frequency of letters in the English language. Since 'g' and 'e' are both common letters, and 'e' is one of the most common letters, it would be a reasonable guess. However, based on the rule that the correct letter is often the first letter of common words, 'g' could also be a strong candidate, as it appears in many common words like 'the', 'and', 'but', etc.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe correct guess was 'e', following the pattern that the hidden letter often appears as the first letter of common words. This supports the strategy of prioritizing letters that are frequent in the English language and commonly used as the first letter of words. 'e' is one of the most common letters and also a common first letter in words like 'the', 'is', 'at', etc. This reinforces the idea that focusing on high-frequency letters and their usage in common word structures can be a reliable guessing strategy.\n</think>\n\n<write>\nThe hidden letter was 'e', which is a common letter and often the first letter of common words. This supports prioritizing high-frequency letters and considering their usage in common word structures. In future rounds, I should continue to focus on letters that are frequently used and often appear as the first letter in common words.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe hidden letter was 'e', which is a common letter and often the first letter of common words. This supports prioritizing high-frequency letters and considering their usage in common word structures. In future rounds, I should continue to focus on letters that are frequently used and often appear as the first letter in common words.\n</MEMORY>\n\nYour 2 letters are: r and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round, 'e' was the hidden letter and it is a common letter. However, 'r' and 'i' are also common letters and can often be the first letter of common words. Since the rule is consistent, it would be prudent to choose one of these common letters. 'r' is slightly more common than 'i' in English, so I will guess 'r'.\n</think>\n\n<guess>\nr\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"i",
"i",
"o",
"e",
"i"
],
"pair": [
[
"n",
"i"
],
[
"x",
"i"
],
[
"h",
"o"
],
[
"g",
"e"
],
[
"r",
"i"
]
]
}
| 0.653333 |
default
| 0.866667 | 0.6 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: o and g. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round, I don't have any previous insights. The rule could be anything, so I'll need to make an educated guess. Let's assume the rule is based on alphabetical order. 'o' comes before 'g' in the alphabet, so the hidden letter might be 'o'.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nEven though 'o' comes before 'g' in the alphabet, the correct answer was 'g'. This indicates that the rule might not be based on alphabetical order. I need to consider other possible rules for future rounds, such as frequency of letters in the English language or other common patterns.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nEven though 'o' comes before 'g' in the alphabet, the correct answer was 'g'. This indicates that the rule might not be based on alphabetical order. I need to consider other possible rules for future rounds, such as frequency of letters in the English language or other common patterns.\n</MEMORY>\n\nYour 2 letters are: a and h. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nThe previous round's answer was 'g', and it wasn't based on alphabetical order. Given the letters 'a' and 'h', I should consider other common patterns. 'h' is a more commonly used letter in the English language compared to 'a'. This might be a clue, but I need to be cautious since the rule could be more complex.\n</think>\n\n<guess>\nh\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nI guessed 'h' based on its frequency in the English language and it turned out to be correct. This suggests that considering common letter frequencies could be a useful strategy. However, it's important to remember that while this strategy might work, the rule could still be more complex or involve multiple factors. I should keep an open mind and consider various possible rules.\n</think>\n\n<write>\nWhen given two letters, guessing the more commonly used letter in the English language can be a useful strategy. However, the rule could involve multiple factors. Staying flexible and considering various possibilities will help improve performance in future rounds.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen given two letters, guessing the more commonly used letter in the English language can be a useful strategy. However, the rule could involve multiple factors. Staying flexible and considering various possibilities will help improve performance in future rounds.\n</MEMORY>\n\nYour 2 letters are: e and y. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven that the rule is consistent across all rounds, we should consider common patterns or biases. In English, 'e' is the most frequently used letter, making it a strong candidate. However, we also need to consider the possibility that the rule might involve other factors, such as the sound or the position of the letter in the alphabet.\n\nSince 'e' is the more common letter, it's a good starting point. If 'e' is not the correct answer, we can explore other possibilities based on the given rule.\n</think>\n\n<guess>\ne\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nWhen given the letters 'e' and 'y', guessing 'e' based on its frequency in the English language was a reasonable approach. However, it was incorrect, which suggests that the rule might involve factors other than frequency, such as the sound or position in the alphabet. In future rounds, it would be beneficial to consider a wider range of potential rules and test different hypotheses systematically. Keeping a flexible and analytical mindset will help in identifying the underlying rule more accurately.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen given the letters 'e' and 'y', guessing 'e' based on its frequency in the English language was a reasonable approach. However, it was incorrect, which suggests that the rule might involve factors other than frequency, such as the sound or position in the alphabet. In future rounds, it would be beneficial to consider a wider range of potential rules and test different hypotheses systematically. Keeping a flexible and analytical mindset will help in identifying the underlying rule more accurately.\n</MEMORY>\n\nYour 2 letters are: e and j. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous experience, I know that the rule is not just about frequency but could be related to the sound or position in the alphabet. 'e' and 'j' are both consonants, but 'j' is further down the alphabet than 'e'. Considering that 'j' is less common in English words compared to 'e', it might be the rule that the letter chosen is the one that is less frequently used.\n</think>\n\n<guess>\nj\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nWhen given the letters 'e' and 'j', guessing 'j' was correct. This suggests that the secret rule might involve the frequency of letter usage in English. Since 'j' is less frequently used than 'e', it aligns with this hypothesis. Moving forward, it would be beneficial to systematically test different hypotheses based on various factors such as frequency, position in the alphabet, and sound. Keeping a flexible and analytical mindset will help in identifying the underlying rule more accurately. Additionally, maintaining a record of past guesses and their outcomes can provide insights into potential patterns or principles that govern the rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen given the letters 'e' and 'j', guessing 'j' was correct. This suggests that the secret rule might involve the frequency of letter usage in English. Since 'j' is less frequently used than 'e', it aligns with this hypothesis. Moving forward, it would be beneficial to systematically test different hypotheses based on various factors such as frequency, position in the alphabet, and sound. Keeping a flexible and analytical mindset will help in identifying the underlying rule more accurately. Additionally, maintaining a record of past guesses and their outcomes can provide insights into potential patterns or principles that govern the rule.\n</MEMORY>\n\nYour 2 letters are: i and w. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous insight, the rule seems to involve letter frequency. 'i' is a more common letter in English than 'w', which is less frequent. Therefore, the correct guess should likely be 'i'.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"g",
"h",
"y",
"j",
"w"
],
"pair": [
[
"o",
"g"
],
[
"a",
"h"
],
[
"e",
"y"
],
[
"e",
"j"
],
[
"i",
"w"
]
]
}
| 0.493333 |
default
| 0.866667 | 0.4 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: v and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nGiven that it's the first round, I don't have any previous information to work with. Since the rule is the same for every round, I'll start by guessing one of the letters and see the feedback to understand the pattern.\n</think>\n\n<guess>\nv\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with guessing 'v' and received feedback that it was incorrect. This indicates that the correct letter is 'a'. The rule seems to be based on a simple comparison or selection between the two given letters. For future rounds, I should always guess the letter that was not guessed in the current round as it has a higher probability of being correct.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with guessing 'v' and received feedback that it was incorrect. This indicates that the correct letter is 'a'. The rule seems to be based on a simple comparison or selection between the two given letters. For future rounds, I should always guess the letter that was not guessed in the current round as it has a higher probability of being correct.\n</MEMORY>\n\nYour 2 letters are: t and o. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nBased on the previous round's feedback, the correct letter is 'a', which was not guessed. Here, the letters given are 't' and 'o'. Since 't' was not guessed in the last round and is one of the given letters, it is the logical choice to guess 't'.\n</think>\n\n<guess>\nt\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nEven though 't' was not guessed in the previous round and is one of the given letters, the feedback received was that the guess was wrong. This suggests that the secret rule might involve more than just the simple absence of a guessed letter. It could be related to the alphabetical position, sound, or other properties of the letters. For future rounds, I should consider multiple attributes of the letters to deduce the rule more accurately.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nEven though 't' was not guessed in the previous round and is one of the given letters, the feedback received was that the guess was wrong. This suggests that the secret rule might involve more than just the simple absence of a guessed letter. It could be related to the alphabetical position, sound, or other properties of the letters. For future rounds, I should consider multiple attributes of the letters to deduce the rule more accurately.\n</MEMORY>\n\nYour 2 letters are: d and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nThe previous guess was 't', which was incorrect. Since 't' is not among the options, it means the rule is not as simple as avoiding a guessed letter. Let's consider the alphabetical order. 'a' comes before 'd'. If the rule is based on alphabetical order, the correct letter might be the one that comes first alphabetically, which is 'a'.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe correct guess was 'a' based on the alphabetical order of the given letters 'd' and 'a'. This reinforces the idea that the secret rule could involve the alphabetical position of the letters. By focusing on alphabetical order, we were able to deduce the correct letter. This suggests that for future rounds, considering the alphabetical sequence of the given letters might be a useful strategy.\n</think>\n\n<write>\nWhen given two letters, consider their alphabetical order. The correct letter might be the one that comes first or has a specific position in the alphabet as per the secret rule.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nWhen given two letters, consider their alphabetical order. The correct letter might be the one that comes first or has a specific position in the alphabet as per the secret rule.\n</MEMORY>\n\nYour 2 letters are: d and u. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nConsidering the alphabetical order, 'd' is before 'u'. The secret rule might be that the correct letter is the one that comes first in alphabetical order.\n</think>\n\n<guess>\nd\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess 'd' was incorrect. This suggests that the secret rule is not simply the alphabetical order of the letters. It's possible that the rule could involve other patterns or principles. For instance, it might be related to the frequency of the letters in the English language, their position in a specific word or context, or even a pattern based on the round number.\n</think>\n\n<write>\nConsider other patterns such as letter frequency, position in a specific word, or round number for the secret rule. The correct letter might not always be the one that comes first in alphabetical order.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nConsider other patterns such as letter frequency, position in a specific word, or round number for the secret rule. The correct letter might not always be the one that comes first in alphabetical order.\n</MEMORY>\n\nYour 2 letters are: y and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nThe rule could be based on the frequency of the letters in the English language, their position in a word, or the round number. Given that we have 'y' and 'a', 'a' is more common than 'y', which might be a clue.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"a",
"o",
"a",
"u",
"a"
],
"pair": [
[
"v",
"a"
],
[
"t",
"o"
],
[
"d",
"a"
],
[
"d",
"u"
],
[
"y",
"a"
]
]
}
| 0.502222 |
default
| 0.911111 | 0.4 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: o and z. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round, I have no previous information to go by. I'll need to make an initial guess based on the letters provided: 'o' and 'z'. I can't infer any pattern from just these two letters, so I'll need to guess one of them. Let's start with 'o'.\n</think>\n\n<guess>\no\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with an initial guess without any prior information. Given that there is a secret rule guiding the selection of the correct letter, future guesses should be based on any patterns or outcomes from previous rounds. Since the first guess was wrong, the correct letter must be 'z'.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with an initial guess without any prior information. Given that there is a secret rule guiding the selection of the correct letter, future guesses should be based on any patterns or outcomes from previous rounds. Since the first guess was wrong, the correct letter must be 'z'.\n</MEMORY>\n\nYour 2 letters are: e and h. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince the first guess was 'z' and it was incorrect, the correct letter must be either 'e' or 'h'. The rule is secret, but since the first guess was wrong, we can assume the rule is such that 'z' is not the correct letter. Therefore, the correct letter must be between 'e' and 'h'.\n</think>\n\n<guess>\nh\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with an initial guess without any prior information, which led to a wrong guess ('z'). This reinforced the need to base future guesses on the outcomes of previous rounds. The fact that 'z' was incorrect suggests the rule for selecting the correct letter is not random and involves a pattern that we can learn from.\n\nKey insights:\n1. Always use the outcome of previous guesses to inform future guesses.\n2. The correct letter is likely to be the one that has not been guessed before if the previous guess was incorrect.\n\nStrategy:\n- Begin with a guess that covers a wide range of possibilities.\n- If the initial guess is incorrect, use the outcome to narrow down the possibilities for subsequent guesses.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with an initial guess without any prior information, which led to a wrong guess ('z'). This reinforced the need to base future guesses on the outcomes of previous rounds. The fact that 'z' was incorrect suggests the rule for selecting the correct letter is not random and involves a pattern that we can learn from.\n\nKey insights:\n1. Always use the outcome of previous guesses to inform future guesses.\n2. The correct letter is likely to be the one that has not been guessed before if the previous guess was incorrect.\n\nStrategy:\n- Begin with a guess that covers a wide range of possibilities.\n- If the initial guess is incorrect, use the outcome to narrow down the possibilities for subsequent guesses.\n</MEMORY>\n\nYour 2 letters are: o and h. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous insight, the correct letter is likely to be 'h' as 'o' was not the correct letter in the last round. Following the strategy, I'll guess 'h' since it has not been guessed before and the rule seems to involve a pattern that we need to identify.\n</think>\n\n<guess>\nh\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStarted with a guess based on the pattern observed from the previous round, which led to a correct guess ('h'). This reinforces the importance of using the outcomes of previous guesses to inform future ones. The secret rule seems to involve a systematic pattern that can be identified and used to make educated guesses.\n\nKey insights:\n1. Always use the outcome of previous guesses to inform future guesses.\n2. The correct letter is likely to be the one that has not been guessed before if the previous guess was incorrect.\n3. The secret rule involves a discernible pattern that can be learned from the outcomes of previous rounds.\n\nStrategy:\n- Begin with a guess that covers a wide range of possibilities.\n- Use the outcome of each guess to narrow down the possibilities for subsequent guesses.\n- Focus on identifying and using patterns in the outcomes to inform guesses.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStarted with a guess based on the pattern observed from the previous round, which led to a correct guess ('h'). This reinforces the importance of using the outcomes of previous guesses to inform future ones. The secret rule seems to involve a systematic pattern that can be identified and used to make educated guesses.\n\nKey insights:\n1. Always use the outcome of previous guesses to inform future guesses.\n2. The correct letter is likely to be the one that has not been guessed before if the previous guess was incorrect.\n3. The secret rule involves a discernible pattern that can be learned from the outcomes of previous rounds.\n\nStrategy:\n- Begin with a guess that covers a wide range of possibilities.\n- Use the outcome of each guess to narrow down the possibilities for subsequent guesses.\n- Focus on identifying and using patterns in the outcomes to inform guesses.\n</MEMORY>\n\nYour 2 letters are: i and b. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous round's outcome where 'h' was the correct guess, let's use a strategy that covers the widest range of possibilities first. Since 'i' and 'b' are the two letters, guessing 'i' first seems reasonable as it leaves 'b' as the alternative.\n\nThe key is to observe if the outcome provides any pattern or rule. If 'i' is correct, we will know the secret rule might involve choosing the first letter given. If 'b' is correct, it might indicate the rule involves choosing the second letter or some other pattern.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nBegan with a guess of 'i', which was incorrect. This suggests that the secret rule does not involve always choosing the first letter. Given the feedback, the rule might involve choosing the second letter or some other systematic approach not yet identified.\n\nKey insights:\n1. The rule is not simply based on the position of the letters (i.e., always choosing the first or second letter).\n2. Further analysis of the feedback from each round is necessary to identify the underlying pattern.\n3. Systematic elimination of possibilities based on previous outcomes is crucial.\n\nStrategy:\n- Always consider the outcome of previous guesses to eliminate possibilities.\n- Systematically test each letter to narrow down the rule.\n- Focus on identifying and using the pattern in the outcomes to inform future guesses.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nBegan with a guess of 'i', which was incorrect. This suggests that the secret rule does not involve always choosing the first letter. Given the feedback, the rule might involve choosing the second letter or some other systematic approach not yet identified.\n\nKey insights:\n1. The rule is not simply based on the position of the letters (i.e., always choosing the first or second letter).\n2. Further analysis of the feedback from each round is necessary to identify the underlying pattern.\n3. Systematic elimination of possibilities based on previous outcomes is crucial.\n\nStrategy:\n- Always consider the outcome of previous guesses to eliminate possibilities.\n- Systematically test each letter to narrow down the rule.\n- Focus on identifying and using the pattern in the outcomes to inform future guesses.\n</MEMORY>\n\nYour 2 letters are: a and v. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous guess of 'i' was incorrect, I need to consider the implications for the rule. The secret rule is not based on always choosing the first letter as 'i' is not the first letter in 'a' and 'v'. Therefore, the rule is likely not position-based. I need to test the second letter 'v' to see if it fits the pattern or if there's another rule at play.\n\nIf the rule is to always choose the second letter, then 'v' should be the correct guess.\n</think>\n\n<guess>\nv\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"z",
"h",
"h",
"b",
"v"
],
"pair": [
[
"o",
"z"
],
[
"e",
"h"
],
[
"o",
"h"
],
[
"i",
"b"
],
[
"a",
"v"
]
]
}
| 0.644444 |
default
| 0.822222 | 0.6 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: y and i. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round and we have no prior information, we can start by guessing either 'y' or 'i'. Let's guess 'y' to start.\n</think>\n\n<guess>\ny\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nWe guessed 'y' and it was incorrect. Given that the rule is consistent across all rounds, it's important to consider the feedback from this round to improve our strategy. A good approach might be to systematically test each letter to see if we can deduce the rule.\n</think>\n\n<write>\nStart each round by testing one letter out of the two given. If the first guess is incorrect, the correct letter will be the other one.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStart each round by testing one letter out of the two given. If the first guess is incorrect, the correct letter will be the other one.\n</MEMORY>\n\nYour 2 letters are: b and e. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nBased on the memory, I should start by testing one of the letters. I'll begin with 'b'.\n</think>\n\n<guess>\nb\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nStart each round by testing one of the letters. If the first guess is incorrect, the correct letter will be the other one. This strategy is reliable and should be used consistently.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nStart each round by testing one of the letters. If the first guess is incorrect, the correct letter will be the other one. This strategy is reliable and should be used consistently.\n</MEMORY>\n\nYour 2 letters are: m and u. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nBased on the strategy, I should start by guessing one of the letters. Let's begin with 'm'.\n</think>\n\n<guess>\nm\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nAlways start by guessing one of the letters. If the first guess is incorrect, the correct letter will be the other one. This strategy is reliable and should be used consistently.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nAlways start by guessing one of the letters. If the first guess is incorrect, the correct letter will be the other one. This strategy is reliable and should be used consistently.\n</MEMORY>\n\nYour 2 letters are: k and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the strategy, I should start by guessing one of the letters. If the first guess is incorrect, the correct letter will be the other one. Let's start with 'k'.\n</think>\n\n<guess>\nk\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nThe guess 'k' was incorrect, which means the correct letter is 'a'. This confirms that the strategy of guessing one of the letters and using the result to deduce the other is effective. For future rounds, I should be confident in my strategy and stick to it without hesitation.\n</think>\n\n<write>\nAlways start by guessing one of the letters. If the first guess is incorrect, the correct letter will be the other one. This strategy is reliable and should be used consistently.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nAlways start by guessing one of the letters. If the first guess is incorrect, the correct letter will be the other one. This strategy is reliable and should be used consistently.\n</MEMORY>\n\nYour 2 letters are: m and a. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nBased on the strategy, I'll start by guessing one of the letters. Let's go with 'm'.\n</think>\n\n<guess>\nm\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"i",
"e",
"u",
"a",
"a"
],
"pair": [
[
"y",
"i"
],
[
"b",
"e"
],
[
"m",
"u"
],
[
"k",
"a"
],
[
"m",
"a"
]
]
}
| 0.182222 |
default
| 0.911111 | 0 |
[
{
"content": "You are a competitive agent in a letter guessing game.\n\nEach game consists of multiple round. At the start of each round, you are shown your memory — short insights or strategies you wrote in previous rounds. Use this memory to guide your guesses.\n\nAt each guess, format your output as:\n<think>\nYour thought process here\n</think>\n\n<guess>\nletter\n</guess>\n\nAt the end of the round, you'll be asked to reflect on your experience. Rewrite your full memory to help you improve in future rounds and games.\n\nYour format for this reflection is:\n<think>\nYour thought process here\n</think>\n\n<write>\nWhat you want to remember here\n</write>\n\nYour memory will be shown in the <MEMORY> tags. At each guess, use the <guess> tags only. When prompt to write to memory use the <write> tags. Do not include anything outside the tags.",
"role": "system"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\n[EMPTY]\n</MEMORY>\n\nYour 2 letters are: a and f. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
}
] |
[
{
"content": "<think>\nSince this is the first round, I have no information about the secret rule. I will need to make an initial guess and see if it helps me deduce the rule.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nIn the first round, I guessed 'a' because it was one of the two letters given. Since the guess was wrong, the secret rule is not based on simply choosing one of the letters. I need to consider other patterns or principles that could determine the hidden letter. For instance, it could be based on alphabetical order, frequency, or some other logical rule. In the next round, I will try to think of logical rules and test them systematically.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nIn the first round, I guessed 'a' because it was one of the two letters given. Since the guess was wrong, the secret rule is not based on simply choosing one of the letters. I need to consider other patterns or principles that could determine the hidden letter. For instance, it could be based on alphabetical order, frequency, or some other logical rule. In the next round, I will try to think of logical rules and test them systematically.\n</MEMORY>\n\nYour 2 letters are: e and f. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the letters 'e' and 'f', and considering the rule is not simply choosing one of the letters, I will test a few logical rules. The alphabetical order rule suggests that the letter 'f' should be the correct one since 'f' comes after 'e'. I will guess 'f' based on this rule.\n</think>\n\n<guess>\nf\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<think>\nI guessed 'f' based on the alphabetical order rule, and it was correct. This suggests that the secret rule is related to the order of the letters in the alphabet. Testing systematic rules like alphabetical order can be a useful strategy. In future rounds, I should consider other common patterns such as frequency of letters, or specific positions in the alphabet (like being the first or last letter).\n</think>\n\n<write>\nThe secret rule appears to be based on alphabetical order. Testing common patterns like alphabetical order and letter frequency can help in guessing the correct letter. Alphabetical order is a strong and reliable rule to consider.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe secret rule appears to be based on alphabetical order. Testing common patterns like alphabetical order and letter frequency can help in guessing the correct letter. Alphabetical order is a strong and reliable rule to consider.\n</MEMORY>\n\nYour 2 letters are: i and h. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the secret rule is based on alphabetical order, 'i' comes after 'h' in the alphabet. Therefore, the rule would suggest the correct letter is 'i' as it is the next letter in alphabetical order from 'h'.\n</think>\n\n<guess>\ni\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe guess was based on the alphabetical order rule, which is a strong and commonly used pattern. However, it seems that the rule might not always be as straightforward as alphabetical order. Future strategies should consider exploring other potential rules such as frequency, common pairings, or even random patterns. Keeping a record of different rules and their outcomes could also help in making more informed guesses.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe guess was based on the alphabetical order rule, which is a strong and commonly used pattern. However, it seems that the rule might not always be as straightforward as alphabetical order. Future strategies should consider exploring other potential rules such as frequency, common pairings, or even random patterns. Keeping a record of different rules and their outcomes could also help in making more informed guesses.\n</MEMORY>\n\nYour 2 letters are: a and s. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nGiven the previous experience, alphabetical order did not work. We need to consider other patterns. The letters 'a' and 's' are both common and not adjacent in the alphabet. A possible rule could be related to the frequency of letters in the English language, where 'a' is more common than 's'. Also, 'a' often appears at the beginning of words, which could be a consideration.\n</think>\n\n<guess>\na\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Wrong guess. \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory.",
"role": "user"
},
{
"content": "<write>\nThe guess was 'a', which was incorrect. This reinforces the idea that while alphabetical order and common usage are common patterns, they are not the only ones. The frequency of letters in the English language, especially common starting letters, could be a useful pattern to consider. Additionally, exploring the context in which the letters appear (e.g., whether they start words) might provide clues. Keeping a detailed record of the outcomes of different guesses and the potential rules they might suggest could help in making more informed guesses in the future.\n</write>",
"role": "assistant"
},
{
"content": "[GAME_START] You are playing Guess The Letter. Given 2 letters, you have one turn to guess what the correct hidden letter is out of the two. The hidden letter is picked using a secret rule. Discover this secret rule and you will be able to guess the correct letter.Note that the hidden rule is the same for everyround. \n\nYour answer must be a single letter e.g. 'a' or 'b'.\n\n<MEMORY>\nThe guess was 'a', which was incorrect. This reinforces the idea that while alphabetical order and common usage are common patterns, they are not the only ones. The frequency of letters in the English language, especially common starting letters, could be a useful pattern to consider. Additionally, exploring the context in which the letters appear (e.g., whether they start words) might provide clues. Keeping a detailed record of the outcomes of different guesses and the potential rules they might suggest could help in making more informed guesses in the future.\n</MEMORY>\n\nYour 2 letters are: a and d. What is the correct letter out of the two?\n\nEnter your guess:\n",
"role": "user"
},
{
"content": "<think>\nSince 'a' was incorrect and 'd' is the other option, the correct guess here must be 'd'. The strategy should focus on systematically eliminating incorrect options based on observed patterns and outcomes. Since 'a' was wrong, 'd' is the only remaining option.\n</think>\n\n<guess>\nd\n</guess>",
"role": "assistant"
},
{
"content": "[GAME_RESULT] Correct guess! \n\n The game has ended.\nReflect on your experience playing this round. Extract useful insights and strategies. Consider what patterns or principles might help improve guessing performance next time. Write this memory. [GAME_END_ALL].",
"role": "user"
}
] |
{
"correct_letter": [
"f",
"f",
"h",
"s",
"d"
],
"pair": [
[
"a",
"f"
],
[
"e",
"f"
],
[
"i",
"h"
],
[
"a",
"s"
],
[
"a",
"d"
]
]
}
| 0.493333 |
default
| 0.866667 | 0.4 |
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