problem_id
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trajectory_id
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question
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messages
string
num_turns
int64
final_reward
float64
terminated
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interactions
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You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.4
true
true
[]
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.40 | Turns: 5 | Terminated: True | Truncated: True ================================================================================ [SYSTEM] You are a helpful codi...
0
1
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.4
true
true
[]
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.40 | Turns: 5 | Terminated: True | Truncated: True ================================================================================ [SYSTEM] You are a helpful codi...
0
2
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.3
true
false
[{"code": "class Solution:\n def distributeCandies(self, n: int, limit: int) -> int:\n # Total ways without restriction (a + b + c = n)\n total = (n + 2) * (n + 1) // 2\n \n # Subtract cases where at least one child gets more than limit\n # If a child gets at least (limit + 1) cand...
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.30 | Turns: 5 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful cod...
0
3
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.4
true
true
[]
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.40 | Turns: 5 | Terminated: True | Truncated: True ================================================================================ [SYSTEM] You are a helpful codi...
0
4
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.4
true
true
[]
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.40 | Turns: 5 | Terminated: True | Truncated: True ================================================================================ [SYSTEM] You are a helpful codi...
0
5
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
3
-0.1
true
false
[{"code": "class Solution:\n def distributeCandies(self, n: int, limit: int) -> int:\n count = 0\n # Iterate through all possible amounts for child 1\n for child1 in range(min(n, limit) + 1):\n # For each amount of child 1, iterate through child 2\n for child2 in range(min(...
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.10 | Turns: 3 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful cod...
0
6
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.3
true
false
[{"code": "class Solution:\n def distributeCandies(self, n: int, limit: int) -> int:\n # Total ways without constraints (stars and bars)\n total = (n + 2) * (n + 1) // 2\n \n # Subtract cases where at least one child gets more than limit\n # If one child gets > limit, we distribute...
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.30 | Turns: 5 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful cod...
0
7
You are given two positive integers n and limit. Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1: Input: n = 5, limit = 2 Output: 3 Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.3
true
false
[{"code": "class Solution:\n def distributeCandies(self, n: int, limit: int) -> int:\n def binom2(k):\n if k < 2:\n return 0\n return k * (k - 1) // 2\n \n total = binom2(n + 2)\n over_one = 3 * binom2(n - limit + 1)\n over_two = 3 * binom2(n - ...
{"inputs": ["5\n2", "3\n3", "2\n5", "1\n7", "1\n4", "6\n2", "6\n1", "1\n1", "1\n3", "2\n1", "48\n42", "49\n41", "50\n49", "49\n48"], "outputs": ["3", "10", "6", "3", "3", "1", "0", "3", "3", "3", "1162", "1167", "1323", "1272"], "fn_name": "distributeCandies"}
false
================================================================================ Question: You are given two positive integers n and limit. R... Reward: -0.30 | Turns: 5 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful cod...
1
0
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.1
true
true
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n n = len(nums)\n half = n // 2\n count = Counter(nums)\n for freq in count.values():\n if freq > half:\n return False\n...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
false
================================================================================ Question: You are given an integer array nums of even length... Reward: -0.10 | Turns: 5 | Terminated: True | Truncated: True ================================================================================ [SYSTEM] You are a helpful codi...
1
1
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
0.7
true
false
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n count = Counter(nums)\n for freq in count.values():\n if freq > 2:\n return False\n return True\n\n# Test cases\ntest_cases =...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
true
================================================================================ Question: You are given an integer array nums of even length... Reward: 0.70 | Turns: 5 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful codi...
1
2
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
0.9
true
false
[{"code": "nums = [1,1,2,2,3,4]\nSolution().isPossibleToSplit(nums)", "output": "Error:\nTraceback (most recent call last):\n File \"<string>\", line 38, in <module>\nNameError: name 'Solution' is not defined"}, {"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleTo...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
true
================================================================================ Question: You are given an integer array nums of even length... Reward: 0.90 | Turns: 5 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful codi...
1
3
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
4
0.9
true
false
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n freq = Counter(nums)\n for count in freq.values():\n if count > 2:\n return False\n return True\n\n# Test with Example 1\nnum...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
true
================================================================================ Question: You are given an integer array nums of even length... Reward: 0.90 | Turns: 4 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful codi...
1
4
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
2
1
true
false
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n freq = Counter(nums)\n for count in freq.values():\n if count > 2:\n return False\n return True\n\n# Test cases\ntest_cases =...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
true
================================================================================ Question: You are given an integer array nums of even length... Reward: 1.00 | Turns: 2 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful codi...
1
5
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
4
0.9
true
false
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n freq = Counter(nums)\n for count in freq.values():\n if count > 2:\n return False\n return True\n\n# Test Case 1\nSolution()....
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
true
================================================================================ Question: You are given an integer array nums of even length... Reward: 0.90 | Turns: 4 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful codi...
1
6
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
-0.1
true
true
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n freq = Counter(nums)\n for count in freq.values():\n if count > 2:\n return False\n return True\n\n# Test cases\ntest1 = [1,1...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
false
================================================================================ Question: You are given an integer array nums of even length... Reward: -0.10 | Turns: 5 | Terminated: True | Truncated: True ================================================================================ [SYSTEM] You are a helpful codi...
1
7
You are given an integer array nums of even length. You have to split the array into two parts nums1 and nums2 such that: nums1.length == nums2.length == nums.length / 2. nums1 should contain distinct elements. nums2 should also contain distinct elements. Return true if it is possible to split the array, and false ot...
[{"role": "system", "content": "You are a helpful coding assistant.\nYou are allowed to interact with the Python interpreter.\nYou can wrap your code in <interact></interact>, and I will run it for you and give you the output.\nMake sure that you define the inputs (or hardcode inputs) yourself when you give me <interac...
5
1
true
false
[{"code": "from collections import Counter\nfrom typing import List\n\nclass Solution:\n def isPossibleToSplit(self, nums: List[int]) -> bool:\n freq = Counter(nums)\n for count in freq.values():\n if count > 2:\n return False\n return True\n\n# Test cases\nSolution().i...
{"inputs": ["[1, 1, 2, 2, 3, 4]", "[1, 1, 1, 1]", "[5, 9]", "[5, 3]", "[24, 32]", "[2, 1, 1, 2]", "[9, 7, 7, 9]", "[4, 1, 3, 2]", "[1, 1, 3, 2]", "[1, 1, 1, 1]", "[10, 4, 4, 6]", "[1, 1, 1, 2, 3, 4]", "[5, 84, 22, 86, 87, 78, 53, 86, 49, 6, 31, 75, 96, 86, 37, 5, 84, 1, 96, 9, 17, 34, 7, 38, 32, 91, 60, 43, 34, 94, 51,...
true
================================================================================ Question: You are given an integer array nums of even length... Reward: 1.00 | Turns: 5 | Terminated: True | Truncated: False ================================================================================ [SYSTEM] You are a helpful codi...