mirror of
https://github.com/ranausmanai/tinyforge-zero.git
synced 2026-06-08 20:55:13 +02:00
6305ff0f91
Companion artifact for the paper 'How Far Can an Open Base Model
Self-Improve? Recipes, Limits, and Test-Time Synergy'.
Contents:
- recipe/{train_on_pairs,bootstrap,multi_pair_14b,curriculum_math,eval_raw,eval_plus,confirm}.py
- data/pairs_{7b_40,14b_multi_new60,math_13}.jsonl (released mined pairs)
- controls/mbpp_corrupt_control.py (the +0 negative control)
- docs/{scaling_chart,fig1_headline,fig6_boundary}.png
- REPRODUCE.md (paper claim -> exact command mapping)
60 lines
135 KiB
JSON
60 lines
135 KiB
JSON
{"signature": "def count_zeroes(arr):\n \"\"\"\n This function receives an array of integers arr, and returns the number of 0s in the array.\n\n >>> count_zeroes([1, 0, 5, 6, 0, 3])\n 2\n >>> count_zeroes([7, 7, 7, 7, 7])\n 0\n >>> count_zeroes([-4, 0, 0, 0, 2])\n 3\n \"\"\"\n\n count = 0\n for element in arr:\n if element == 0:\n count += 1\n return count\n\n# tests", "tests": ["assert count_zeroes([1, 0, 5, 6, 0, 3]) == 2", "assert count_zeroes([7, 7, 7, 7, 7]) == 0", "assert count_zeroes([-4, 0, 0, 0, 2]) == 3"], "broken": "block.", "error": " block.\n ^\nSyntaxError: invalid syntax", "fixed": "def count_zeroes(arr):\n count = 0\n for element in arr:\n if element == 0:\n count += 1\n return count"}
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{"signature": "def count_zeroes(arr):\n \"\"\"\n This function receives an array of integers arr, and returns the number of 0s in the array.\n\n >>> count_zeroes([1, 0, 5, 6, 0, 3])\n 2\n >>> count_zeroes([7, 7, 7, 7, 7])\n 0\n >>> count_zeroes([-4, 0, 0, 0, 2])\n 3\n \"\"\"\n\n count = 0\n for element in arr:\n if element == 0:\n count += 1\n return count\n\n# tests", "tests": ["assert count_zeroes([1, 0, 5, 6, 0, 3]) == 2", "assert count_zeroes([7, 7, 7, 7, 7]) == 0", "assert count_zeroes([-4, 0, 0, 0, 2]) == 3"], "broken": "def count_zeroes(arr):\n \"\"\"\n This function receives an array of integers arr, and returns the number of 0s in the array.\n\n >>> count_zeroes([1, 0, 5, 6, 0, 3])\n 2\n >>> count_zeroes([7, 7, 7, 7, 7])\n 0\n >>> count_zeroes([-4, 0, 0, 0, 2])\n 3\n \"\"\"\n\n count = 0\n for element in arr:\n if element == 0:\n count += 1\n return count\n\n# tests\n\nTests:\nassert count_zeroes([1, 0, 5, 6, 0, 3]) == 2\nassert count_zeroes([7, 7, 7, 7, 7]) == 0\nassert count_zeroes([-4, 0, 0, 0, 2]) == 3", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def count_zeroes(arr):\n count = 0\n for element in arr:\n if element == 0:\n count += 1\n return count"}
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{"signature": "def count_even_pairs(s: str) -> int:\n \"\"\"\n Given a string 's', return the number of pairs (i, j) such that \n 0 <= i < j < len(s) and the sum of the ASCII values of s[i] and s[j] is even.\n \"\"\"\n ascii_values = [ord(char) for char in s]\n even_count = sum([value % 2 == 0 for value in ascii_values])\n odd_count = len(ascii_values) - even_count\n return even_count * (even_count - 1) // 2 + odd_count * (odd_count - 1) // 2\n\n# tests", "tests": ["assert count_even_pairs('abc') == 1", "assert count_even_pairs('abcd') == 2", "assert count_even_pairs('') == 0"], "broken": "block only.\n\nImplement: def count_even_pairs(s: str) -> int:\n \"\"\"\n Given a string 's', return the number of pairs (i, j) such that \n 0 <= i < j < len(s) and the sum of the ASCII values of s[i] and s[j] is even.\n \"\"\"\n ascii_values = [ord(char) for char in s]\n even_count = sum([value % 2 == 0 for value in ascii_values])\n odd_count = len(ascii_values) - even_count\n return even_count * (even_count - 1) // 2 + odd_count * (odd_count - 1) // 2", "error": " block only.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def count_even_pairs(s: str) -> int:\n \"\"\"\n Given a string 's', return the number of pairs (i, j) such that \n 0 <= i < j < len(s) and the sum of the ASCII values of s[i] and s[j] is even.\n \"\"\"\n ascii_values = [ord(char) for char in s]\n even_count = sum([value % 2 == 0 for value in ascii_values])\n odd_count = len(ascii_values) - even_count\n return even_count * (even_count - 1) // 2 + odd_count * (odd_count - 1) // 2"}
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{"signature": "def non_unique_elements(data: list) -> list:\n \"\"\"\n Your task is to design a function that will identify non-unique elements in a given list.\n Non-unique elements are those elements that appear more than once in the list. \n \n The function must:\n - Return a sorted list of these non-unique elements in ascending order.\n - Maintain original order for elements with the same value.\n - Handle edge cases such as empty list, duplicates, and negative numbers.\n \n Approach:\n - Create a dictionary to count the frequency of elements.\n - Iterate through the list to populate this dictionary.\n - Extract keys (elements) whose frequency is greater than 1.\n - Sort the result and maintain order in case of duplicates.\n \"\"\"\n \n # Frequency count using dictionary\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n \n # Extract non-unique elements\n non_unique = [key for key, value in freq.items() if value > 1]\n \n # Sorting with original order maintained for duplicates\n non_unique.sort(key=lambda x: data.index(x))\n \n return non_unique\n\n# tests", "tests": ["assert non_unique_elements([1, 2, 3, 1, 3]) == [1, 3]", "assert non_unique_elements([1, 1, 2, 2, 3]) == [1, 2]", "assert non_unique_elements([]) == []"], "broken": "block only. You are an expert Python coder. Output one", "error": " block only. You are an expert Python coder. Output one\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def non_unique_elements(data: list) -> list:\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n non_unique = [key for key, value in freq.items() if value > 1]\n non_unique.sort(key=lambda x: data.index(x))\n return non_unique"}
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{"signature": "def non_unique_elements(data: list) -> list:\n \"\"\"\n Your task is to design a function that will identify non-unique elements in a given list.\n Non-unique elements are those elements that appear more than once in the list. \n \n The function must:\n - Return a sorted list of these non-unique elements in ascending order.\n - Maintain original order for elements with the same value.\n - Handle edge cases such as empty list, duplicates, and negative numbers.\n \n Approach:\n - Create a dictionary to count the frequency of elements.\n - Iterate through the list to populate this dictionary.\n - Extract keys (elements) whose frequency is greater than 1.\n - Sort the result and maintain order in case of duplicates.\n \"\"\"\n \n # Frequency count using dictionary\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n \n # Extract non-unique elements\n non_unique = [key for key, value in freq.items() if value > 1]\n \n # Sorting with original order maintained for duplicates\n non_unique.sort(key=lambda x: data.index(x))\n \n return non_unique\n\n# tests", "tests": ["assert non_unique_elements([1, 2, 3, 1, 3]) == [1, 3]", "assert non_unique_elements([1, 1, 2, 2, 3]) == [1, 2]", "assert non_unique_elements([]) == []"], "broken": "", "error": " assert non_unique_elements([1, 2, 3, 1, 3]) == [1, 3]\n ^^^^^^^^^^^^^^^^^^^\nNameError: name 'non_unique_elements' is not defined", "fixed": "def non_unique_elements(data: list) -> list:\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n non_unique = [key for key, value in freq.items() if value > 1]\n non_unique.sort(key=lambda x: data.index(x))\n return non_unique"}
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{"signature": "def non_unique_elements(data: list) -> list:\n \"\"\"\n Your task is to design a function that will identify non-unique elements in a given list.\n Non-unique elements are those elements that appear more than once in the list. \n \n The function must:\n - Return a sorted list of these non-unique elements in ascending order.\n - Maintain original order for elements with the same value.\n - Handle edge cases such as empty list, duplicates, and negative numbers.\n \n Approach:\n - Create a dictionary to count the frequency of elements.\n - Iterate through the list to populate this dictionary.\n - Extract keys (elements) whose frequency is greater than 1.\n - Sort the result and maintain order in case of duplicates.\n \"\"\"\n \n # Frequency count using dictionary\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n \n # Extract non-unique elements\n non_unique = [key for key, value in freq.items() if value > 1]\n \n # Sorting with original order maintained for duplicates\n non_unique.sort(key=lambda x: data.index(x))\n \n return non_unique\n\n# tests", "tests": ["assert non_unique_elements([1, 2, 3, 1, 3]) == [1, 3]", "assert non_unique_elements([1, 1, 2, 2, 3]) == [1, 2]", "assert non_unique_elements([]) == []"], "broken": "block only. Implement: def non_unique_elements(data: list) -> list:\n \"\"\"\n Your task is to design a function that will identify non-unique elements in a given list.\n Non-unique elements are those elements that appear more than once in the list. \n \n The function must:\n - Return a sorted list of these non-unique elements in ascending order.\n - Maintain original order for elements with the same value.\n - Handle edge cases such as empty list, duplicates, and negative numbers.\n \n Approach:\n - Create a dictionary to count the frequency of elements.\n - Iterate through the list to populate this dictionary.\n - Extract keys (elements) whose frequency is greater than 1.\n - Sort the result and maintain order in case of duplicates.\n \"\"\"\n \n # Frequency count using dictionary\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n \n # Extract non-unique elements\n non_unique = [key for key, value in freq.items() if value > 1]\n \n # Sorting with original order maintained for duplicates\n non_unique.sort(key=lambda x: data.index(x))\n \n return non_unique\n\n# tests\n\nTests:\nassert non_unique_elements([1, 2, 3, 1, 3]) == [1, 3]\nassert non_unique_elements([1, 1, 2, 2, 3]) == [1, 2]\nassert non_unique_elements([]) == []\n\nOutput only the function implementation in one", "error": " block only. Implement: def non_unique_elements(data: list) -> list:\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def non_unique_elements(data: list) -> list:\n freq = {}\n for i in data:\n if i in freq:\n freq[i] += 1\n else:\n freq[i] = 1\n non_unique = [key for key, value in freq.items() if value > 1]\n non_unique.sort(key=lambda x: data.index(x))\n return non_unique"}
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{"signature": "def find_missing_number(sequence):\n \"\"\"\n Given a sequence of integers in non-decreasing order, where all numbers\n from 1 to N-1 are present except one, find the missing number. The missing\n number is guaranteed to be in the range [1, N].\n\n :param sequence: A list of integers in non-decreasing order, where one\n number from 1 to N is missing.\n :return: The missing number.\n \"\"\"\n n = len(sequence) + 1 # Total numbers from 1 to N\n full_sum = n * (n + 1) // 2 # Sum of numbers from 1 to N using Gauss's formula\n actual_sum = sum(sequence)\n return full_sum - actual_sum\n\n# tests", "tests": ["assert find_missing_number([1, 2, 3, 4, 6, 7, 8]) == 5", "assert find_missing_number([1, 2, 4]) == 3", "assert find_missing_number([1]) == 2"], "broken": "def find_missing_number(sequence):\n \"\"\"\n Given a sequence of integers in non-decreasing order, where all numbers\n from 1 to N-1 are present except one, find the missing number. The missing\n number is guaranteed to be in the range [1, N].\n\n :param sequence: A list of integers in non-decreasing order, where one\n number from 1 to N is missing.\n :return: The missing number.\n \"\"\"\n n = len(sequence) + 1 # Total numbers from 1 to N\n full_sum = n * (n + 1) // 2 # Sum of numbers from 1 to N using Gauss's formula\n actual_sum = sum(sequence)\n return full_sum - actual_sum\n\n# tests\n\nTests:\nassert find_missing_number([1, 2, 3, 4, 6, 7, 8]) == 5\nassert find_missing_number([1, 2, 4]) == 3\nassert find_missing_number([1]) == 2", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def find_missing_number(sequence):\n \"\"\"\n Given a sequence of integers in non-decreasing order, where all numbers\n from 1 to N-1 are present except one, find the missing number. The missing\n number is guaranteed to be in the range [1, N].\n\n :param sequence: A list of integers in non-decreasing order, where one\n number from 1 to N is missing.\n :return: The missing number.\n \"\"\"\n n = len(sequence) + 1 # Total numbers from 1 to N\n full_sum = n * (n + 1) // 2 # Sum of numbers from 1 to N using Gauss's formula\n actual_sum = sum(sequence)\n return full_sum - actual_sum"}
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{"signature": "def find_missing_number(sequence):\n \"\"\"\n Given a sequence of integers in non-decreasing order, where all numbers\n from 1 to N-1 are present except one, find the missing number. The missing\n number is guaranteed to be in the range [1, N].\n\n :param sequence: A list of integers in non-decreasing order, where one\n number from 1 to N is missing.\n :return: The missing number.\n \"\"\"\n n = len(sequence) + 1 # Total numbers from 1 to N\n full_sum = n * (n + 1) // 2 # Sum of numbers from 1 to N using Gauss's formula\n actual_sum = sum(sequence)\n return full_sum - actual_sum\n\n# tests", "tests": ["assert find_missing_number([1, 2, 3, 4, 6, 7, 8]) == 5", "assert find_missing_number([1, 2, 4]) == 3", "assert find_missing_number([1]) == 2"], "broken": "block only.", "error": " block only.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def find_missing_number(sequence):\n \"\"\"\n Given a sequence of integers in non-decreasing order, where all numbers\n from 1 to N-1 are present except one, find the missing number. The missing\n number is guaranteed to be in the range [1, N].\n\n :param sequence: A list of integers in non-decreasing order, where one\n number from 1 to N is missing.\n :return: The missing number.\n \"\"\"\n n = len(sequence) + 1 # Total numbers from 1 to N\n full_sum = n * (n + 1) // 2 # Sum of numbers from 1 to N using Gauss's formula\n actual_sum = sum(sequence)\n return full_sum - actual_sum"}
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{"signature": "def longest_substring_without_repeating_characters(s: str) -> int:\n \"\"\"\n Given a string `s`, find the length of the longest substring without repeating characters.\n The function should handle edge cases like empty strings, strings with no repeating characters,\n and strings with all characters repeating.\n \"\"\"\n seen = {}\n max_len = start = 0\n for index, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n max_len = max(max_len, index - start + 1)\n seen[char] = index\n\n return max_len\n\n# tests", "tests": ["assert longest_substring_without_repeating_characters(\"\") == 0", "assert longest_substring_without_repeating_characters(\"abcdef\") == 6", "assert longest_substring_without_repeating_characters(\"pwwkew\") == 3"], "broken": "Please determine whether the given text is related to computer science, if yes please return \"YES\", else return \"NO\".", "error": " Please determine whether the given text is related to computer science, if yes please return \"YES\", else return \"NO\".\n ^^^^^^^^^\nSyntaxError: invalid syntax", "fixed": "def longest_substring_without_repeating_characters(s: str) -> int:\n \"\"\"\n Given a string `s`, find the length of the longest substring without repeating characters.\n The function should handle edge cases like empty strings, strings with no repeating characters,\n and strings with all characters repeating.\n \"\"\"\n seen = {}\n max_len = start = 0\n for index, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n max_len = max(max_len, index - start + 1)\n seen[char] = index\n\n return max_len"}
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{"signature": "def find_missing_number(nums):\n \"\"\"Given an array of integers from 1 to n with one number missing, return the missing number.\n \n Args:\n nums: A list of integers from 1 to n, but one is missing.\n \n Returns:\n The missing integer.\n \"\"\"\n expected_sum = (len(nums) + 1) * (len(nums) + 2) // 2\n actual_sum = sum(nums)\n return expected_sum - actual_sum\n\n# tests", "tests": ["assert find_missing_number([1, 2, 4, 5]) == 3", "assert find_missing_number([1, 3, 4, 5]) == 2", "assert find_missing_number([1, 2, 3, 4]) == 5"], "broken": "block:", "error": " block:\n ^\nSyntaxError: invalid syntax", "fixed": "def find_missing_number(nums):\n expected_sum = (len(nums) + 1) * (len(nums) + 2) // 2\n actual_sum = sum(nums)\n return expected_sum - actual_sum"}
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{"signature": "def minimum_swaps_to_sort(nums):\n \"\"\"\n Given an unordered list of consecutive integers starting from 1 with no duplicates,\n find the minimum number of swaps required to sort the list in ascending order.\n\n Edge cases:\n - List is empty\n - List contains one or two elements\n - List is already sorted\n\n Args:\n - nums: A list of consecutive integers starting from 1 with no duplicates\n\n Returns:\n - The minimum number of swaps to sort the list\n \"\"\"\n count = 0\n for i in range(len(nums)):\n while nums[i] != i + 1:\n nums[nums[i] - 1], nums[i] = nums[i], nums[nums[i] - 1]\n count += 1\n return count\n\n# tests", "tests": ["assert minimum_swaps_to_sort([4, 3, 2, 1]) == 2", "assert minimum_swaps_to_sort([1, 5, 4, 3, 2]) == 2", "assert minimum_swaps_to_sort([]) == 0"], "broken": "block. Do not test. Do not explain.", "error": " block. Do not test. Do not explain.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def minimum_swaps_to_sort(nums):\n count = 0\n for i in range(len(nums)):\n while nums[i] != i + 1:\n nums[nums[i] - 1], nums[i] = nums[i], nums[nums[i] - 1]\n count += 1\n return count"}
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{"signature": "def shortest_palindrome(s: str) -> str:\n \"\"\"\n Given a string s, you are to return the shortest palindrome that can be created by adding characters to the front of s.\n For example, if s is 'aacecaaa', the shortest palindrome is 'aaacecaaa', while if s is 'abcd', the shortest palindrome is 'dcbabcd'.\n\n Args:\n s (str): A string composed of lowercase letters only.\n\n Returns:\n str: The shortest palindrome that can be created by adding characters to the front of s.\n \"\"\"\n if not s:\n return \"\"\n \n # Finding the longest palindrome from the start\n n = len(s)\n reverse_s = s[::-1]\n for i in range(n):\n if s[:n-i] == reverse_s[i:]:\n return reverse_s[:i] + s\n", "tests": ["assert shortest_palindrome(\"aacecaaa\") == \"aaacecaaa\"", "assert shortest_palindrome(\"abcd\") == \"dcbabcd\"", "assert shortest_palindrome(\"babab\") == \"babab\""], "broken": "def shortest_palindrome(s: str) -> str:\n if not s:\n return \"\"\n\n reverse_s = s[::-1]\n for i in range(len(s)):\n if s == reverse_s[i:]:\n return reverse_s[:i] + s\n\n return s", "error": " assert shortest_palindrome(\"aacecaaa\") == \"aaacecaaa\"\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\nAssertionError", "fixed": "def shortest_palindrome(s: str) -> str:\n \"\"\"\n Given a string s, you are to return the shortest palindrome that can be created by adding characters to the front of s.\n For example, if s is 'aacecaaa', the shortest palindrome is 'aaacecaaa', while if s is 'abcd', the shortest palindrome is 'dcbabcd'.\n\n Args:\n s (str): A string composed of lowercase letters only.\n\n Returns:\n str: The shortest palindrome that can be created by adding characters to the front of s.\n \"\"\"\n if not s:\n return \"\"\n \n # Finding the longest palindrome from the start\n n = len(s)\n reverse_s = s[::-1]\n for i in range(n):\n if s[:n-i] == reverse_s[i:]:\n return reverse_s[:i] + s"}
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{"signature": "def shortest_palindrome(s: str) -> str:\n \"\"\"\n Given a string s, you are to return the shortest palindrome that can be created by adding characters to the front of s.\n For example, if s is 'aacecaaa', the shortest palindrome is 'aaacecaaa', while if s is 'abcd', the shortest palindrome is 'dcbabcd'.\n\n Args:\n s (str): A string composed of lowercase letters only.\n\n Returns:\n str: The shortest palindrome that can be created by adding characters to the front of s.\n \"\"\"\n if not s:\n return \"\"\n \n # Finding the longest palindrome from the start\n n = len(s)\n reverse_s = s[::-1]\n for i in range(n):\n if s[:n-i] == reverse_s[i:]:\n return reverse_s[:i] + s\n", "tests": ["assert shortest_palindrome(\"aacecaaa\") == \"aaacecaaa\"", "assert shortest_palindrome(\"abcd\") == \"dcbabcd\"", "assert shortest_palindrome(\"babab\") == \"babab\""], "broken": "def shortest_palindrome(s: str) -> str:\n \"\"\"\n Given a string s, you are to return the shortest palindrome that can be created by adding characters to the front of s.\n For example, if s is 'aacecaaa', the shortest palindrome is 'aaacecaaa', while if s is 'abcd', the shortest palindrome is 'dcbabcd'.\n\n Args:\n s (str): A string composed of lowercase letters only.\n\n Returns:\n str: The shortest palindrome that can be created by adding characters to the front of s.\n \"\"\"\n if not s:\n return \"\"\n \n # Finding the longest palindrome from the start\n n = len(s)\n reverse_s = s[::-1]\n for i in range(n):\n if s[:n-i] == reverse_s[i:]:\n return reverse_s[:i] + s\n\nTests:\nassert shortest_palindrome(\"aacecaaa\") == \"aaacecaaa\"\nassert shortest_palindrome(\"abcd\") == \"dcbabcd\"\nassert shortest_palindrome(\"babab\") == \"babab\"", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def shortest_palindrome(s: str) -> str:\n \"\"\"\n Given a string s, you are to return the shortest palindrome that can be created by adding characters to the front of s.\n For example, if s is 'aacecaaa', the shortest palindrome is 'aaacecaaa', while if s is 'abcd', the shortest palindrome is 'dcbabcd'.\n\n Args:\n s (str): A string composed of lowercase letters only.\n\n Returns:\n str: The shortest palindrome that can be created by adding characters to the front of s.\n \"\"\"\n if not s:\n return \"\"\n \n # Finding the longest palindrome from the start\n n = len(s)\n reverse_s = s[::-1]\n for i in range(n):\n if s[:n-i] == reverse_s[i:]:\n return reverse_s[:i] + s"}
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{"signature": "def find_second_highest_unique(numbers: list) -> int:\n \"\"\"\n Given a list of integers that may contain duplicates, return the second highest unique integer.\n If there are less than two unique integers in the list, return None.\n \"\"\"\n unique_numbers = set(numbers)\n if len(unique_numbers) < 2:\n return None\n unique_numbers.remove(max(unique_numbers))\n return max(unique_numbers)\n\n# tests", "tests": ["assert find_second_highest_unique([1, 2, 3, 4, 5]) == 4", "assert find_second_highest_unique([1, 2, 2, 3, 3]) == 2", "assert find_second_highest_unique([1]) == None"], "broken": "block. Output only the function implementation in one", "error": " block. Output only the function implementation in one\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def find_second_highest_unique(numbers: list) -> int:\n \"\"\"\n Given a list of integers that may contain duplicates, return the second highest unique integer.\n If there are less than two unique integers in the list, return None.\n \"\"\"\n unique_numbers = set(numbers)\n if len(unique_numbers) < 2:\n return None\n unique_numbers.remove(max(unique_numbers))\n return max(unique_numbers)\n\n# tests\n\nassert find_second_highest_unique([1, 2, 3, 4, 5]) == 4\nassert find_second_highest_unique([1, 2, 2, 3, 3]) == 2\nassert find_second_highest_unique([1]) == None"}
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{"signature": "def max_sum_subarray(nums):\n \"\"\"Given an array of integers, find the contiguous subarray with the largest sum and return its sum.\n\n The function should handle edge cases such as an empty array, an array with all negative numbers, and an array with duplicates.\n\n >>> max_sum_subarray([-2, 1, -3, 4, -1, 2, 1, -5, 4])\n 6\n >>> max_sum_subarray([-1, -2, -3, -4])\n -1\n >>> max_sum_subarray([0, 0, 0, 0, 0])\n 0\n \"\"\"\n\n if not nums:\n return 0\n\n max_sum = current_sum = nums[0]\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum\n\n# tests", "tests": ["assert max_sum_subarray([-2, 1, -3, 4, -1, 2, 1, -5, 4]) == 6", "assert max_sum_subarray([-1, -2, -3, -4]) == -1", "assert max_sum_subarray([0, 0, 0, 0, 0]) == 0"], "broken": "def max_sum_subarray(nums):\n \"\"\"Given an array of integers, find the contiguous subarray with the largest sum and return its sum.\n\n The function should handle edge cases such as an empty array, an array with all negative numbers, and an array with duplicates.\n\n >>> max_sum_subarray([-2, 1, -3, 4, -1, 2, 1, -5, 4])\n 6\n >>> max_sum_subarray([-1, -2, -3, -4])\n -1\n >>> max_sum_subarray([0, 0, 0, 0, 0])\n 0\n \"\"\"\n\n if not nums:\n return 0\n\n max_sum = current_sum = nums[0]\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum\n\nAssistant: def max_sum_subarray(nums):\n \"\"\"Given an array of integers, find the contiguous subarray with the largest sum and return its sum.\n\n The function should handle edge cases such as an empty array, an array with all negative numbers, and an array with duplicates.\n\n >>> max_sum_subarray([-2, 1, -3, 4, -1, 2, 1, -5, 4])\n 6\n >>> max_sum_subarray([-1, -2, -3, -4])\n -1\n >>> max_sum_subarray([0, 0, 0, 0, 0])\n 0\n \"\"\"\n\n if not nums:\n return 0\n\n max_sum = current_sum = nums[0]\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum", "error": " Assistant: def max_sum_subarray(nums):\n ^^^\nSyntaxError: invalid syntax", "fixed": "def max_sum_subarray(nums):\n if not nums:\n return 0\n\n max_sum = current_sum = nums[0]\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum"}
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{"signature": "def find_max_sum_subarray_with_negatives(nums: list) -> int:\n \"\"\"\n Find the maximum sum of a subarray in a given list of integers. This function must handle edge cases, including\n negative integers and empty lists. If the list is empty, return 0. If the list contains only negative numbers, return\n the maximum single element. Otherwise, find the maximum sum of a contiguous subarray.\n \"\"\"\n if not nums:\n return 0\n\n current_sum = max_sum = nums[0]\n\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum\n\n\n# tests", "tests": ["assert find_max_sum_subarray_with_negatives([1, -2, 3, 10, -4, 7, 2, -5]) == 18", "assert find_max_sum_subarray_with_negatives([-1, -2, -3, -4]) == -1", "assert find_max_sum_subarray_with_negatives([]) == 0"], "broken": "block only. Implement: def find_max_sum_subarray_with_negatives(nums: list) -> int:\n \"\"\"\n Find the maximum sum of a subarray in a given list of integers. This function must handle edge cases, including\n negative integers and empty lists. If the list is empty, return 0. If the list contains only negative numbers, return\n the maximum single element. Otherwise, find the maximum sum of a contiguous subarray.\n \"\"\"\n if not nums:\n return 0\n\n current_sum = max_sum = nums[0]\n\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum\n\n# tests\n\nTests:\nassert find_max_sum_subarray_with_negatives([1, -2, 3, 10, -4, 7, 2, -5]) == 18\nassert find_max_sum_subarray_with_negatives([-1, -2, -3, -4]) == -1\nassert find_max_sum_subarray_with_negatives([]) == 0", "error": " block only. Implement: def find_max_sum_subarray_with_negatives(nums: list) -> int:\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def find_max_sum_subarray_with_negatives(nums: list) -> int:\n \"\"\"\n Find the maximum sum of a subarray in a given list of integers. This function must handle edge cases, including\n negative integers and empty lists. If the list is empty, return 0. If the list contains only negative numbers, return\n the maximum single element. Otherwise, find the maximum sum of a contiguous subarray.\n \"\"\"\n if not nums:\n return 0\n\n current_sum = max_sum = nums[0]\n\n for num in nums[1:]:\n current_sum = max(num, current_sum + num)\n max_sum = max(max_sum, current_sum)\n\n return max_sum"}
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{"signature": "def longest_palindromic_substring(s: str) -> str:\n \"\"\"\n Given a string, find the longest palindromic substring in it. \n A palindrome is a string that reads the same backward as forward. \n The function should handle edge cases such as empty input, single-character input, and an input where no palindrome is found.\n\n For example:\n - longest_palindromic_substring('babad') == 'bab' or 'aba'\n - longest_palindromic_substring('cbbd') == 'bb'\n - longest_palindromic_substring('a') == 'a'\n - longest_palindromic_substring('') == ''\n \"\"\"\n n = len(s)\n if n == 0:\n return \"\"\n \n start = 0\n max_length = 1\n \n def expand_around_center(left: int, right: int) -> int:\n while left >= 0 and right < n and s[left] == s[right]:\n left -= 1\n right += 1\n return right - left - 1\n\n for i in range(n):\n length1 = expand_around_center(i, i)\n length2 = expand_around_center(i, i + 1)\n length_max = max(length1, length2)\n if length_max > max_length:\n max_length = length_max\n start = i - (length_max - 1) // 2\n \n return s[start:start + max_length]\n\n# tests", "tests": ["assert longest_palindromic_substring('babad') in ['bab', 'aba']", "assert longest_palindromic_substring('cbbd') == 'bb'", "assert longest_palindromic_substring('a') == 'a'", "assert longest_palindromic_substring('') == ''"], "broken": "def longest_palindromic_substring(s: str) -> str:\n \"\"\"\n Given a string, find the longest palindromic substring in it. \n A palindrome is a string that reads the same backward as forward. \n The function should handle edge cases such as empty input, single-character input, and an input where no palindrome is found.\n\n For example:\n - longest_palindromic_substring('babad') == 'bab' or 'aba'\n - longest_palindromic_substring('cbbd') == 'bb'\n - longest_palindromic_substring('a') == 'a'\n - longest_palindromic_substring('') == ''\n \"\"\"\n n = len(s)\n if n == 0:\n return \"\"\n \n start = 0\n max_length = 1", "error": " assert longest_palindromic_substring('babad') in ['bab', 'aba']\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\nAssertionError", "fixed": "def longest_palindromic_substring(s: str) -> str:\n \"\"\"\n Given a string, find the longest palindromic substring in it. \n A palindrome is a string that reads the same backward as forward. \n The function should handle edge cases such as empty input, single-character input, and an input where no palindrome is found.\n\n For example:\n - longest_palindromic_substring('babad') == 'bab' or 'aba'\n - longest_palindromic_substring('cbbd') == 'bb'\n - longest_palindromic_substring('a') == 'a'\n - longest_palindromic_substring('') == ''\n \"\"\"\n n = len(s)\n if n == 0:\n return \"\"\n \n start = 0\n max_length = 1\n \n def expand_around_center(left: int, right: int) -> int:\n while left >= 0 and right < n and s[left] == s[right]:\n left -= 1\n right += 1\n return right - left - 1\n\n for i in range(n):\n length1 = expand_around_center(i, i)\n length2 = expand_around_center(i, i + 1)\n length_max = max(length1, length2)\n if length_max > max_length:\n max_length = length_max\n start = i - (length_max - 1) // 2\n \n return s[start:start + max_length]"}
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{"signature": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests", "tests": ["assert longest_non_repeating_substring_length(\"abcabcbb\") == 3", "assert longest_non_repeating_substring_length(\"bbbbb\") == 1", "assert longest_non_repeating_substring_length(\"pwwkew\") == 3"], "broken": "Implement: def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\nTests:\nassert longest_non_repeating_substring_length(\"abcabcbb\") == 3\nassert longest_non_repeating_substring_length(\"bbbbb\") == 1\nassert longest_non_repeating_substring_length(\"pwwkew\") == 3", "error": " Implement: def longest_non_repeating_substring_length(s: str) -> int:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests\n\nassert longest_non_repeating_substring_length(\"abcabcbb\") == 3\nassert longest_non_repeating_substring_length(\"bbbbb\") == 1\nassert longest_non_repeating_substring_length(\"pwwkew\") == 3"}
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{"signature": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests", "tests": ["assert longest_non_repeating_substring_length(\"abcabcbb\") == 3", "assert longest_non_repeating_substring_length(\"bbbbb\") == 1", "assert longest_non_repeating_substring_length(\"pwwkew\") == 3"], "broken": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests\n\nTests:\nassert longest_non_repeating_substring_length(\"abcabcbb\") == 3\nassert longest_non_repeating_substring_length(\"bbbbb\") == 1\nassert longest_non_repeating_substring_length(\"pwwkew\") == 3", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests\n\nassert longest_non_repeating_substring_length(\"abcabcbb\") == 3\nassert longest_non_repeating_substring_length(\"bbbbb\") == 1\nassert longest_non_repeating_substring_length(\"pwwkew\") == 3"}
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{"signature": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests", "tests": ["assert longest_non_repeating_substring_length(\"abcabcbb\") == 3", "assert longest_non_repeating_substring_length(\"bbbbb\") == 1", "assert longest_non_repeating_substring_length(\"pwwkew\") == 3"], "broken": "def longest_non_repeating_substring_length(s: str) -> int:\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\nAssistant: def longest_non_repeating_substring_length(s: str) -> int:\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength", "error": " Assistant: def longest_non_repeating_substring_length(s: str) -> int:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def longest_non_repeating_substring_length(s: str) -> int:\n \"\"\"Given a string, find the length of the longest substring without repeating characters. For example, the longest substring without repeating characters for \"abcabcbb\" is \"abc\", so the answer would be 3.\n Handles edge cases like empty string, single character string, and string with all repeating characters.\"\"\"\n if not s:\n return 0\n start = maxLength = 0\n usedChar = {}\n \n for i in range(len(s)):\n if s[i] in usedChar and start <= usedChar[s[i]]:\n start = usedChar[s[i]] + 1\n else:\n maxLength = max(maxLength, i - start + 1)\n \n usedChar[s[i]] = i\n return maxLength\n\n# tests\n\nassert longest_non_repeating_substring_length(\"abcabcbb\") == 3\nassert longest_non_repeating_substring_length(\"bbbbb\") == 1\nassert longest_non_repeating_substring_length(\"pwwkew\") == 3"}
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{"signature": "def min_swaps_to_sort(arr: list):\n \"\"\"Given an unordered array consisting of consecutive integers \n `[1, 2, 3, ..., n]` without any duplicates, \n determine the minimum number of swaps required to sort the array.\n\n - arr: List of integers.\n - Returns the minimum number of swaps required to sort the array.\n\n Note:\n - The input array will contain all integers from 1 to n, \n where n is the length of the array, without any duplicates.\n - There can be negative numbers in the array as well.\n - The array can be empty.\n - Duplicate numbers are not allowed, however, the problem statement is revised to include negatives and boundary conditions.\n\n \"\"\"\n n = len(arr)\n sorted_arr = sorted(arr)\n visit = {x: False for x in range(n)}\n swap_count = 0\n for i in range(n):\n if not visit[i] and arr[i] != sorted_arr[i]:\n cycle_count = 0\n j = i\n while not visit[j]:\n visit[j] = True\n j = arr.index(sorted_arr[j])\n cycle_count += 1\n swap_count += cycle_count - 1\n\n return swap_count\n", "tests": ["assert min_swaps_to_sort([1, 5, 4, 3, 2]) == 2", "assert min_swaps_to_sort([1, 3, 5, 2, 4, 6, 7]) == 3", "assert min_swaps_to_sort([5, 1, 3, 2]) == 2", "assert min_swaps_to_sort([]) == 0 # Edge case: empty array", "assert min_swaps_to_sort([-1, 3, -5, 2, 4]) == 3 # Edge case: negative numbers in the array", "assert min_swaps_to_sort([1, 2, 3, 4, 5]) == 0 # Edge case: already sorted array", "assert min_swaps_to_sort([2, 1, 3, 4, 5]) == 1 # Edge case: one element out of place"], "broken": "def min_swaps_to_sort(arr: list):\n n = len(arr)\n sorted_arr = sorted(arr)\n visit = {x: False for x in range(n)}\n swap_count = 0\n for i in range(n):\n if not visit[i] and arr[i] != sorted_arr[i]:\n cycle_count = 0\n j = i\n while not visit[j]:\n visit[j] = True\n j = arr.index(sorted_arr[j])\n cycle_count += 1\n swap_count += cycle_count - 1\n\n return swap_count\n\nTests:\nassert min_swaps_to_sort([1, 5, 4, 3, 2]) == 2\nassert min_swaps_to_sort([1, 3, 5, 2, 4, 6, 7]) == 3\nassert min_swaps_to_sort([5, 1, 3, 2]) == 2\nassert min_swaps_to_sort([]) == 0 # Edge case: empty array\nassert min_swaps_to_sort([-1, 3, -5, 2, 4]) == 3 # Edge case: negative numbers in the array\nassert min_swaps_to_sort([1, 2, 3, 4, 5]) == 0 # Edge case: already sorted array\nassert min_swaps_to_sort([2, 1, 3, 4, 5]) == 1 # Edge case: one element out of place", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "from typing import List\n\ndef min_swaps_to_sort(arr: List[int]) -> int:\n n = len(arr)\n sorted_arr = sorted(arr)\n visit = {x: False for x in range(n)}\n swap_count = 0\n for i in range(n):\n if not visit[i] and arr[i] != sorted_arr[i]:\n cycle_count = 0\n j = i\n while not visit[j]:\n visit[j] = True\n j = arr.index(sorted_arr[j])\n cycle_count += 1\n swap_count += cycle_count - 1\n\n return swap_count"}
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{"signature": "def min_swaps_to_sort(arr: list):\n \"\"\"Given an unordered array consisting of consecutive integers \n `[1, 2, 3, ..., n]` without any duplicates, \n determine the minimum number of swaps required to sort the array.\n\n - arr: List of integers.\n - Returns the minimum number of swaps required to sort the array.\n\n Note:\n - The input array will contain all integers from 1 to n, \n where n is the length of the array, without any duplicates.\n - There can be negative numbers in the array as well.\n - The array can be empty.\n - Duplicate numbers are not allowed, however, the problem statement is revised to include negatives and boundary conditions.\n\n \"\"\"\n n = len(arr)\n sorted_arr = sorted(arr)\n visit = {x: False for x in range(n)}\n swap_count = 0\n for i in range(n):\n if not visit[i] and arr[i] != sorted_arr[i]:\n cycle_count = 0\n j = i\n while not visit[j]:\n visit[j] = True\n j = arr.index(sorted_arr[j])\n cycle_count += 1\n swap_count += cycle_count - 1\n\n return swap_count\n", "tests": ["assert min_swaps_to_sort([1, 5, 4, 3, 2]) == 2", "assert min_swaps_to_sort([1, 3, 5, 2, 4, 6, 7]) == 3", "assert min_swaps_to_sort([5, 1, 3, 2]) == 2", "assert min_swaps_to_sort([]) == 0 # Edge case: empty array", "assert min_swaps_to_sort([-1, 3, -5, 2, 4]) == 3 # Edge case: negative numbers in the array", "assert min_swaps_to_sort([1, 2, 3, 4, 5]) == 0 # Edge case: already sorted array", "assert min_swaps_to_sort([2, 1, 3, 4, 5]) == 1 # Edge case: one element out of place"], "broken": "block only. Here's the implementation of the `min_swaps_to_sort` function:", "error": " block only. Here's the implementation of the `min_swaps_to_sort` function:\n ^\nSyntaxError: unterminated string literal (detected at line 1)", "fixed": "from typing import List\n\ndef min_swaps_to_sort(arr: List[int]) -> int:\n n = len(arr)\n sorted_arr = sorted(arr)\n visit = {x: False for x in range(n)}\n swap_count = 0\n for i in range(n):\n if not visit[i] and arr[i] != sorted_arr[i]:\n cycle_count = 0\n j = i\n while not visit[j]:\n visit[j] = True\n j = arr.index(sorted_arr[j])\n cycle_count += 1\n swap_count += cycle_count - 1\n\n return swap_count"}
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{"signature": "def find_longest_palindromic_subsequence(s: str) -> int:\n \"\"\"\n Write a function that finds the length of the longest palindromic subsequence in a given string.\n\n The subsequence does not need to be contiguous, but it should be the same forwards and backwards.\n\n Examples:\n >>> find_longest_palindromic_subsequence(\"bbbab\") == 4\n >>> find_longest_palindromic_subsequence(\"cbbd\") == 2\n >>> find_longest_palindromic_subsequence(\"abcba\") == 5\n >>> find_longest_palindromic_subsequence(\"\") == 0\n >>> find_longest_palindromic_subsequence(\"a\") == 1\n \"\"\"\n\n if not s:\n return 0\n\n n = len(s)\n dp = [[0] * n for _ in range(n)]\n\n for i in range(n - 1, -1, -1):\n dp[i][i] = 1\n for j in range(i + 1, n):\n if s[i] == s[j]:\n dp[i][j] = dp[i + 1][j - 1] + 2\n else:\n dp[i][j] = max(dp[i + 1][j], dp[i][j - 1])\n\n return dp[0][n - 1]\n\n\n# Tests", "tests": ["assert find_longest_palindromic_subsequence(\"bbbab\") == 4", "assert find_longest_palindromic_subsequence(\"cbbd\") == 2", "assert find_longest_palindromic_subsequence(\"abcba\") == 5"], "broken": "You can then call this function with any string to find the length of the longest palindromic subsequence in that string.", "error": " You can then call this function with any string to find the length of the longest palindromic subsequence in that string.\n ^^^\nSyntaxError: invalid syntax", "fixed": "def find_longest_palindromic_subsequence(s: str) -> int:\n \"\"\"\n Write a function that finds the length of the longest palindromic subsequence in a given string.\n\n The subsequence does not need to be contiguous, but it should be the same forwards and backwards.\n\n Examples:\n >>> find_longest_palindromic_subsequence(\"bbbab\") == 4\n >>> find_longest_palindromic_subsequence(\"cbbd\") == 2\n >>> find_longest_palindromic_subsequence(\"abcba\") == 5\n >>> find_longest_palindromic_subsequence(\"\") == 0\n >>> find_longest_palindromic_subsequence(\"a\") == 1\n \"\"\"\n\n if not s:\n return 0\n\n n = len(s)\n dp = [[0] * n for _ in range(n)]\n\n for i in range(n - 1, -1, -1):\n dp[i][i] = 1\n for j in range(i + 1, n):\n if s[i] == s[j]:\n dp[i][j] = dp[i + 1][j - 1] + 2\n else:\n dp[i][j] = max(dp[i + 1][j], dp[i][j - 1])\n\n return dp[0][n - 1]"}
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{"signature": "def find_longest_palindromic_subsequence(s: str) -> int:\n \"\"\"\n Write a function that finds the length of the longest palindromic subsequence in a given string.\n\n The subsequence does not need to be contiguous, but it should be the same forwards and backwards.\n\n Examples:\n >>> find_longest_palindromic_subsequence(\"bbbab\") == 4\n >>> find_longest_palindromic_subsequence(\"cbbd\") == 2\n >>> find_longest_palindromic_subsequence(\"abcba\") == 5\n >>> find_longest_palindromic_subsequence(\"\") == 0\n >>> find_longest_palindromic_subsequence(\"a\") == 1\n \"\"\"\n\n if not s:\n return 0\n\n n = len(s)\n dp = [[0] * n for _ in range(n)]\n\n for i in range(n - 1, -1, -1):\n dp[i][i] = 1\n for j in range(i + 1, n):\n if s[i] == s[j]:\n dp[i][j] = dp[i + 1][j - 1] + 2\n else:\n dp[i][j] = max(dp[i + 1][j], dp[i][j - 1])\n\n return dp[0][n - 1]\n\n\n# Tests", "tests": ["assert find_longest_palindromic_subsequence(\"bbbab\") == 4", "assert find_longest_palindromic_subsequence(\"cbbd\") == 2", "assert find_longest_palindromic_subsequence(\"abcba\") == 5"], "broken": "Implement: def find_longest_palindromic_subsequence(s: str) -> int:\n \"\"\"\n Write a function that finds the length of the longest palindromic subsequence in a given string.\n\n The subsequence does not need to be contiguous, but it should be the same forwards and backwards.\n\n Examples:\n >>> find_longest_palindromic_subsequence(\"bbbab\") == 4\n >>> find_longest_palindromic_subsequence(\"cbbd\") == 2\n >>> find_longest_palindromic_subsequence(\"abcba\") == 5\n >>> find_longest_palindromic_subsequence(\"\") == 0\n >>> find_longest_palindromic_subsequence(\"a\") == 1\n \"\"\"\n\n if not s:\n return 0\n\n n = len(s)\n dp = [[0] * n for _ in range(n)]\n\n for i in range(n - 1, -1, -1):\n dp[i][i] = 1\n for j in range(i + 1, n):\n if s[i] == s[j]:\n dp[i][j] = dp[i + 1][j - 1] + 2\n else:\n dp[i][j] = max(dp[i + 1][j], dp[i][j - 1])\n\n return dp[0][n - 1]", "error": " Implement: def find_longest_palindromic_subsequence(s: str) -> int:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def find_longest_palindromic_subsequence(s: str) -> int:\n \"\"\"\n Write a function that finds the length of the longest palindromic subsequence in a given string.\n\n The subsequence does not need to be contiguous, but it should be the same forwards and backwards.\n\n Examples:\n >>> find_longest_palindromic_subsequence(\"bbbab\") == 4\n >>> find_longest_palindromic_subsequence(\"cbbd\") == 2\n >>> find_longest_palindromic_subsequence(\"abcba\") == 5\n >>> find_longest_palindromic_subsequence(\"\") == 0\n >>> find_longest_palindromic_subsequence(\"a\") == 1\n \"\"\"\n\n if not s:\n return 0\n\n n = len(s)\n dp = [[0] * n for _ in range(n)]\n\n for i in range(n - 1, -1, -1):\n dp[i][i] = 1\n for j in range(i + 1, n):\n if s[i] == s[j]:\n dp[i][j] = dp[i + 1][j - 1] + 2\n else:\n dp[i][j] = max(dp[i + 1][j], dp[i][j - 1])\n\n return dp[0][n - 1]"}
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{"signature": "def max_product_subarray(nums):\n \"\"\"\n Given an integer array nums, find a contiguous subarray (containing at least one number) which has the largest product and return its product.\n\n The input array nums can have both positive and negative integers. It's guaranteed that the product of any contiguous subarray is not zero.\n\n Return the maximum product of a contiguous subarray.\n\n Examples:\n max_product_subarray([2, 3, -2, 4]) should return 6\n max_product_subarray([-2, 0, -1]) should return 0\n max_product_subarray([-2, 3, -4]) should return 24\n \"\"\"\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n max_product, min_product = max(num, max_product * num, min_product * num), min(num, max_product * num, min_product * num)\n result = max(result, max_product)\n return result\n\n# tests", "tests": ["assert max_product_subarray([2, 3, -2, 4]) == 6", "assert max_product_subarray([-2, 0, -1]) == 0", "assert max_product_subarray([-2, 3, -4]) == 24"], "broken": "block.ive\nAssistant\nImplement: def max_product_subarray(nums):\n \"\"\"\n Given an integer array nums, find a contiguous subarray (containing at least one number) which has the largest product and return its product.\n\n The input array nums can have both positive and negative integers. It's guaranteed that the product of any contiguous subarray is not zero.\n\n Return the maximum product of a contiguous subarray.\n\n Examples:\n max_product_subarray([2, 3, -2, 4]) should return 6\n max_product_subarray([-2, 0, -1]) should return 0\n max_product_subarray([-2, 3, -4]) should return 24\n \"\"\"\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n max_product, min_product = max(num, max_product * num, min_product * num), min(num, max_product * num, min_product * num)\n result = max(result, max_product)", "error": " Implement: def max_product_subarray(nums):\n ^^^\nSyntaxError: invalid syntax", "fixed": "def max_product_subarray(nums):\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n max_product, min_product = max(num, max_product * num, min_product * num), min(num, max_product * num, min_product * num)\n result = max(result, max_product)\n return result"}
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{"signature": "def max_product_subarray(nums):\n \"\"\"\n Given an integer array nums, find a contiguous subarray (containing at least one number) which has the largest product and return its product.\n\n The input array nums can have both positive and negative integers. It's guaranteed that the product of any contiguous subarray is not zero.\n\n Return the maximum product of a contiguous subarray.\n\n Examples:\n max_product_subarray([2, 3, -2, 4]) should return 6\n max_product_subarray([-2, 0, -1]) should return 0\n max_product_subarray([-2, 3, -4]) should return 24\n \"\"\"\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n max_product, min_product = max(num, max_product * num, min_product * num), min(num, max_product * num, min_product * num)\n result = max(result, max_product)\n return result\n\n# tests", "tests": ["assert max_product_subarray([2, 3, -2, 4]) == 6", "assert max_product_subarray([-2, 0, -1]) == 0", "assert max_product_subarray([-2, 3, -4]) == 24"], "broken": "def max_product_subarray(nums):\n \"\"\"\n Given an integer array nums, find a contiguous subarray (containing at least one number) which has the largest product and return its product.\n\n The input array nums can have both positive and negative integers. It's guaranteed that the product of any contiguous subarray is not zero.\n\n Return the maximum product of a contiguous subarray.\n\n Examples:\n max_product_subarray([2, 3, -2, 4]) should return 6\n max_product_subarray([-2, 0, -1]) should return 0\n max_product_subarray([-2, 3, -4]) should return 24\n \"\"\"\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n max_product, min_product = max(num, max_product * num, min_product * num), min(num, max_product * num, min_product * num)\n result = max(result, max_product)\n return result\n\n# tests\n\nTests:\nassert max_product_subarray([2, 3, -2, 4]) == 6\nassert max_product_subarray([-2, 0, -1]) == 0\nassert max_product_subarray([-2, 3, -4]) == 24", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def max_product_subarray(nums):\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n max_product, min_product = max(num, max_product * num, min_product * num), min(num, max_product * num, min_product * num)\n result = max(result, max_product)\n return result"}
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{"signature": "def find_largest_sum(arr: list, k: int) -> int:\n \"\"\"Given an array of integers 'arr', and an integer 'k', find the largest sum\n that can be obtained from any k contiguous elements of arr. Handles edge cases such as \n empty array, k > length of array, or k == 1. Consider sorting and hash maps for an efficient solution.\n \"\"\"\n arr.sort() # Sort the array\n largest_sum = sum(arr[-k:]) # Sum the k largest numbers\n return largest_sum\n\n# tests", "tests": ["assert find_largest_sum([1, 3, -2, 5, 4, -1], 2) == 9", "assert find_largest_sum([-3, -1, -2], 1) == -1", "assert find_largest_sum([1, 1, 1, 1, 1, 1], 5) == 5"], "broken": "def find_largest_sum(arr: list, k: int) -> int:\n \"\"\"Given an array of integers 'arr', and an integer 'k', find the largest sum\n that can be obtained from any k contiguous elements of arr. Handles edge cases such as \n empty array, k > length of array, or k == 1. Consider sorting and hash maps for an efficient solution.\n \"\"\"\n arr.sort() # Sort the array\n largest_sum = sum(arr[-k:]) # Sum the k largest numbers\n return largest_sum\n\n# tests\n\nTests:\nassert find_largest_sum([1, 3, -2, 5, 4, -1], 2) == 9\nassert find_largest_sum([-3, -1, -2], 1) == -1\nassert find_largest_sum([1, 1, 1, 1, 1, 1], 5) == 5", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def find_largest_sum(arr: list, k: int) -> int:\n arr.sort()\n return sum(arr[-k:])"}
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{"signature": "def find_largest_even_subarray(arr: list, k: int) -> int:\n \"\"\"\n Given an array of integers `arr` and an integer `k`, find the largest even number in the subarray formed by keeping at most `k` elements from the beginning and at most `k` elements from the end of the array. Return the largest even number or -1 if none exists. Consider edge cases like empty arrays or no even numbers.\n\n For example:\n find_largest_even_subarray([10, 20, 30, 5, 4], 1) -> 30\n find_largest_even_subarray([], 0) -> -1\n find_largest_even_subarray([5, 3, 1], 2) -> -1\n \"\"\"\n max_even = -1\n for i in range(k + 1):\n for j in range(k + 1):\n start = max(0, i)\n end = min(len(arr) - 1, len(arr) - j - 1)\n for num in arr[start:end+1]:\n if num % 2 == 0 and num > max_even:\n max_even = num\n return max_even\n\n# tests", "tests": ["assert find_largest_even_subarray([10, 20, 30, 5, 4], 1) == 30", "assert find_largest_even_subarray([], 0) == -1", "assert find_largest_even_subarray([5, 3, 1], 2) == -1"], "broken": "def find_largest_even_subarray(arr: list, k: int) -> int:\n \"\"\"\n Given an array of integers `arr` and an integer `k`, find the largest even number in the subarray formed by keeping at most `k` elements from the beginning and at most `k` elements from the end of the array. Return the largest even number or -1 if none exists. Consider edge cases like empty arrays or no even numbers.\n\n For example:\n find_largest_even_subarray([10, 20, 30, 5, 4], 1) -> 30\n find_largest_even_subarray([], 0) -> -1\n find_largest_even_subarray([5, 3, 1], 2) -> -1\n \"\"\"\n max_even = -1\n for i in range(k + 1):\n for j in range(k + 1):\n start = max(0, i)\n end = min(len(arr) - 1, len(arr) - j - 1)\n for num in arr[start:end+1]:\n if num % 2 == 0 and num > max_even:\n max_even = num\n return max_even\n\n# tests\n\nTests:\nassert find_largest_even_subarray([10, 20, 30, 5, 4], 1) == 30\nassert find_largest_even_subarray([], 0) == -1\nassert find_largest_even_subarray([5, 3, 1], 2) == -1", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def find_largest_even_subarray(arr: list, k: int) -> int:\n \"\"\"\n Given an array of integers `arr` and an integer `k`, find the largest even number in the subarray formed by keeping at most `k` elements from the beginning and at most `k` elements from the end of the array. Return the largest even number or -1 if none exists. Consider edge cases like empty arrays or no even numbers.\n\n For example:\n find_largest_even_subarray([10, 20, 30, 5, 4], 1) -> 30\n find_largest_even_subarray([], 0) -> -1\n find_largest_even_subarray([5, 3, 1], 2) -> -1\n \"\"\"\n max_even = -1\n for i in range(k + 1):\n for j in range(k + 1):\n start = max(0, i)\n end = min(len(arr) - 1, len(arr) - j - 1)\n for num in arr[start:end+1]:\n if num % 2 == 0 and num > max_even:\n max_even = num\n return max_even"}
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{"signature": "def find_max_product_subarray(nums: list) -> int:\n \"\"\"\n Given an integer array nums, find a contiguous non-empty subarray within the array that has the largest product, and return the product.\n The answer should be non-negative.\n \"\"\"\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n if num < 0:\n max_product, min_product = min_product, max_product\n max_product = max(num, max_product * num)\n min_product = min(num, min_product * num)\n result = max(result, max_product)\n return result\n\n# tests", "tests": ["assert find_max_product_subarray([2,3,-2,4]) == 6", "assert find_max_product_subarray([-2,0,-1]) == 0", "assert find_max_product_subarray([-2]) == -2"], "broken": "block.ive\nThe Python function implementation for finding the maximum product of a contiguous subarray in an integer array is as follows:", "error": " The Python function implementation for finding the maximum product of a contiguous subarray in an integer array is as follows:\n ^^^^^^\nSyntaxError: invalid syntax", "fixed": "def find_max_product_subarray(nums: list) -> int:\n \"\"\"\n Given an integer array nums, find a contiguous non-empty subarray within the array that has the largest product, and return the product.\n The answer should be non-negative.\n \"\"\"\n max_product = min_product = result = nums[0]\n for num in nums[1:]:\n if num < 0:\n max_product, min_product = min_product, max_product\n max_product = max(num, max_product * num)\n min_product = min(num, min_product * num)\n result = max(result, max_product)\n return result"}
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{"signature": "def find_substring_indices(string, substring):\n \"\"\"\n Given a string and a substring, return a list of indices where the substring is found within the string. \n For example, given string='mississippi' and substring='iss', the function should return [1, 4].\n \"\"\"\n indices = []\n index = string.find(substring)\n while index != -1:\n indices.append(index)\n index = string.find(substring, index + 1)\n return indices\n\n# tests", "tests": ["assert find_substring_indices('mississippi', 'iss') == [1, 4]", "assert find_substring_indices('mississippi', 'm') == [0]", "assert find_substring_indices('', 'a') == []"], "broken": "block. No text. No explanation. No comment. No question. No blank lines.\ndef find_substring_indices(string, substring):\n indices = []\n index = string.find(substring)\n while index != -1:\n indices.append(index)\n index = string.find(substring, index + 1)\n return indices", "error": " block. No text. No explanation. No comment. No question. No blank lines.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def find_substring_indices(string, substring):\n indices = []\n index = string.find(substring)\n while index != -1:\n indices.append(index)\n index = string.find(substring, index + 1)\n return indices"}
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{"signature": "def max_sum_subarray_length(nums: list, k: int):\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length\n\n# tests", "tests": ["assert max_sum_subarray_length([1, -1, 5, -2, 3], 3) == 4", "assert max_sum_subarray_length([-2, -1, 2, 1], 1) == 2", "assert max_sum_subarray_length([2, 1, -3, 4, 1], 10) == 0"], "broken": "Implement: def max_sum_subarray_length(nums: list, k: int):\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length\n\n# tests\n\nTests:\nassert max_sum_subarray_length([1, -1, 5, -2, 3], 3) == 4\nassert max_sum_subarray_length([-2, -1, 2, 1], 1) == 2\nassert max_sum_subarray_length([2, 1, -3, 4, 1], 10) == 0", "error": " Implement: def max_sum_subarray_length(nums: list, k: int):\n ^^^\nSyntaxError: invalid syntax", "fixed": "def max_sum_subarray_length(nums: list, k: int) -> int:\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length"}
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{"signature": "def max_sum_subarray_length(nums: list, k: int):\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length\n\n# tests", "tests": ["assert max_sum_subarray_length([1, -1, 5, -2, 3], 3) == 4", "assert max_sum_subarray_length([-2, -1, 2, 1], 1) == 2", "assert max_sum_subarray_length([2, 1, -3, 4, 1], 10) == 0"], "broken": "Implement: def max_sum_subarray_length(nums: list, k: int):\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length\ndef max_sum_subarray_length(nums: list, k: int):\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length", "error": " Implement: def max_sum_subarray_length(nums: list, k: int):\n ^^^\nSyntaxError: invalid syntax", "fixed": "def max_sum_subarray_length(nums: list, k: int) -> int:\n \"\"\"Given an array of integers, return the length of the longest subarray with sum equal to k.\n Return 0 if no such subarray exists.\n \"\"\"\n cumulative_sum = {0: -1} # Initialize the cumulative sum with 0 at index -1 for edge cases\n max_length = 0\n current_sum = 0\n \n for i, num in enumerate(nums):\n current_sum += num\n if (current_sum - k) in cumulative_sum:\n max_length = max(max_length, i - cumulative_sum[current_sum - k])\n if current_sum not in cumulative_sum:\n cumulative_sum[current_sum] = i\n\n return max_length"}
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{"signature": "def find_longest_palindromic_substring(s: str) -> str:\n \"\"\"Given a string s, return the longest palindromic substring in s. Handle edge cases such as empty strings, single character strings, and the entire string being a palindrome.\"\"\"\n if len(s) == 0:\n return \"\"\n longest = s[0]\n for i in range(len(s)):\n for j in range(i+1, len(s)+1):\n substring = s[i:j]\n if substring == substring[::-1] and len(substring) > len(longest):\n longest = substring\n return longest\n\n# tests", "tests": ["assert find_longest_palindromic_substring(\"babad\") == \"bab\" or \"aba\"", "assert find_longest_palindromic_substring(\"cbbd\") == \"bb\"", "assert find_longest_palindromic_substring(\"\") == \"\""], "broken": "block.ve\nveyou\nImplement: def find_longest_palindromic_substring(s: str) -> str:\n \"\"\"Given a string s, return the longest palindromic substring in s. Handle edge cases such as empty strings, single character strings, and the entire string being a palindrome.\"\"\"\n if len(s) == 0:\n return \"\"\n longest = s[0]\n for i in range(len(s)):\n for j in range(i+1, len(s)+1):\n substring = s[i:j]\n if substring == substring[::-1] and len(substring) > len(longest):\n longest = substring\n return longest\n\n# tests\n\nTests:\nassert find_longest_palindromic_substring(\"babad\") == \"bab\" or \"aba\"\nassert find_longest_palindromic_substring(\"cbbd\") == \"bb\"\nassert find_longest_palindromic_substring(\"\") == \"\"\n\nOutput only the function implementation in one", "error": " Implement: def find_longest_palindromic_substring(s: str) -> str:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def find_longest_palindromic_substring(s: str) -> str:\n \"\"\"Given a string s, return the longest palindromic substring in s. Handle edge cases such as empty strings, single character strings, and the entire string being a palindrome.\"\"\"\n if len(s) == 0:\n return \"\"\n longest = s[0]\n for i in range(len(s)):\n for j in range(i+1, len(s)+1):\n substring = s[i:j]\n if substring == substring[::-1] and len(substring) > len(longest):\n longest = substring\n return longest"}
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{"signature": "def longest_non_repeating_substring(s: str) -> str:\n \"\"\"Return the longest substring without repeating characters in the input string 's'.\n If there are multiple substrings of the same maximum length, return the first one encountered.\n \"\"\"\n longest = ''\n seen = {}\n start = 0\n\n for i, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n if (i - start + 1) > len(longest):\n longest = s[start:i+1]\n seen[char] = i\n\n return longest\n\n# tests", "tests": ["assert longest_non_repeating_substring(\"abcabcbb\") == \"abc\"", "assert longest_non_repeating_substring(\"bbbbb\") == \"b\"", "assert longest_non_repeating_substring(\"pwwkew\") == \"wke\""], "broken": "Implement: def longest_non_repeating_substring(s: str) -> str:\n \"\"\"Return the longest substring without repeating characters in the input string 's'.\n If there are multiple substrings of the same maximum length, return the first one encountered.\n \"\"\"\n longest = ''\n seen = {}\n start = 0\n\n for i, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n if (i - start + 1) > len(longest):\n longest = s[start:i+1]\n seen[char] = i\n\n return longest\n\n# tests\n\nTests:\nassert longest_non_repeating_substring(\"abcabcbb\") == \"abc\"\nassert longest_non_repeating_substring(\"bbbbb\") == \"b\"\nassert longest_non_repeating_substring(\"pwwkew\") == \"wke\"", "error": " Implement: def longest_non_repeating_substring(s: str) -> str:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def longest_non_repeating_substring(s: str) -> str:\n longest = ''\n seen = {}\n start = 0\n\n for i, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n if (i - start + 1) > len(longest):\n longest = s[start:i+1]\n seen[char] = i\n\n return longest"}
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{"signature": "def longest_non_repeating_substring(s: str) -> str:\n \"\"\"Return the longest substring without repeating characters in the input string 's'.\n If there are multiple substrings of the same maximum length, return the first one encountered.\n \"\"\"\n longest = ''\n seen = {}\n start = 0\n\n for i, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n if (i - start + 1) > len(longest):\n longest = s[start:i+1]\n seen[char] = i\n\n return longest\n\n# tests", "tests": ["assert longest_non_repeating_substring(\"abcabcbb\") == \"abc\"", "assert longest_non_repeating_substring(\"bbbbb\") == \"b\"", "assert longest_non_repeating_substring(\"pwwkew\") == \"wke\""], "broken": "Implement: def longest_non_repeating_substring(s: str) -> str:\n \"\"\"Return the longest substring without repeating characters in the input string 's'.\n If there are multiple substrings of the same maximum length, return the first one encountered.\n \"\"\"\n longest = ''\n seen = {}\n start = 0\n\n for i, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n if (i - start + 1) > len(longest):\n longest = s[start:i+1]\n seen[char] = i\n\n return longest", "error": " Implement: def longest_non_repeating_substring(s: str) -> str:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def longest_non_repeating_substring(s: str) -> str:\n longest = ''\n seen = {}\n start = 0\n\n for i, char in enumerate(s):\n if char in seen and start <= seen[char]:\n start = seen[char] + 1\n else:\n if (i - start + 1) > len(longest):\n longest = s[start:i+1]\n seen[char] = i\n\n return longest"}
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{"signature": "def count_unique_char_permutations(s: str) -> int:\n \"\"\"\n Given a string s, find the number of unique permutations of the string that can be formed\n without repeating any characters.\n \n Note: The result should be computed modulo 10^9 + 7.\n \"\"\"\n MOD = 10**9 + 7\n fact = 1\n freq = {}\n for ch in s:\n freq[ch] = freq.get(ch, 0) + 1\n n = len(s)\n for i in range(1, n + 1):\n fact = (fact * i) % MOD\n unique_count = 1\n for k, v in freq.items():\n if v > 1:\n for j in range(2, v + 1):\n unique_count = (unique_count * j) % MOD\n return (fact * pow(unique_count, MOD - 2, MOD)) % MOD\n\n# tests", "tests": ["assert count_unique_char_permutations(\"abc\") == 6", "assert count_unique_char_permutations(\"aab\") == 3", "assert count_unique_char_permutations(\"aaaaaaaaaa\") == 1"], "broken": "block. # Implement: def count_unique_char_permutations(s: str) -> int:\n \"\"\"\n Given a string s, find the number of unique permutations of the string that can be formed\n without repeating any characters.\n \n Note: The result should be computed modulo 10^9 + 7.\n \"\"\"\n MOD = 10**9 + 7\n fact = 1\n freq = {}\n for ch in s:\n freq[ch] = freq.get(ch, 0) + 1\n n = len(s)\n for i in range(1, n + 1):\n fact = (fact * i) % MOD\n unique_count = 1\n for k, v in freq.items():\n if v > 1:\n for j in range(2, v + 1):\n unique_count = (unique_count * j) % MOD\n return (fact * pow(unique_count, MOD - 2, MOD)) % MOD\n\n# tests\n\nTests:\nassert count_unique_char_permutations(\"abc\") == 6\nassert count_unique_char_permutations(\"aab\") == 3", "error": " block. # Implement: def count_unique_char_permutations(s: str) -> int:\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\nSyntaxError: invalid syntax", "fixed": "def count_unique_char_permutations(s: str) -> int:\n \"\"\"\n Given a string s, find the number of unique permutations of the string that can be formed\n without repeating any characters.\n \n Note: The result should be computed modulo 10^9 + 7.\n \"\"\"\n MOD = 10**9 + 7\n fact = 1\n freq = {}\n for ch in s:\n freq[ch] = freq.get(ch, 0) + 1\n n = len(s)\n for i in range(1, n + 1):\n fact = (fact * i) % MOD\n unique_count = 1\n for k, v in freq.items():\n if v > 1:\n for j in range(2, v + 1):\n unique_count = (unique_count * j) % MOD\n return (fact * pow(unique_count, MOD - 2, MOD)) % MOD"}
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{"signature": "def count_unique_char_permutations(s: str) -> int:\n \"\"\"\n Given a string s, find the number of unique permutations of the string that can be formed\n without repeating any characters.\n \n Note: The result should be computed modulo 10^9 + 7.\n \"\"\"\n MOD = 10**9 + 7\n fact = 1\n freq = {}\n for ch in s:\n freq[ch] = freq.get(ch, 0) + 1\n n = len(s)\n for i in range(1, n + 1):\n fact = (fact * i) % MOD\n unique_count = 1\n for k, v in freq.items():\n if v > 1:\n for j in range(2, v + 1):\n unique_count = (unique_count * j) % MOD\n return (fact * pow(unique_count, MOD - 2, MOD)) % MOD\n\n# tests", "tests": ["assert count_unique_char_permutations(\"abc\") == 6", "assert count_unique_char_permutations(\"aab\") == 3", "assert count_unique_char_permutations(\"aaaaaaaaaa\") == 1"], "broken": "block only.\n\"\"\"", "error": " \"\"\"\n ^\nSyntaxError: unterminated triple-quoted string literal (detected at line 6)", "fixed": "def count_unique_char_permutations(s: str) -> int:\n \"\"\"\n Given a string s, find the number of unique permutations of the string that can be formed\n without repeating any characters.\n \n Note: The result should be computed modulo 10^9 + 7.\n \"\"\"\n MOD = 10**9 + 7\n fact = 1\n freq = {}\n for ch in s:\n freq[ch] = freq.get(ch, 0) + 1\n n = len(s)\n for i in range(1, n + 1):\n fact = (fact * i) % MOD\n unique_count = 1\n for k, v in freq.items():\n if v > 1:\n for j in range(2, v + 1):\n unique_count = (unique_count * j) % MOD\n return (fact * pow(unique_count, MOD - 2, MOD)) % MOD"}
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{"signature": "def max_profit_with_cooldown(prices):\n \"\"\"\n Given a list of daily stock prices, compute the maximum profit that can be made by buying and selling the stock\n once, with a cooldown of 1 day between transactions.\n Return the maximum profit possible. Assume that you cannot perform multiple transactions at once.\n\n Example:\n - For prices = [1, 2, 3, 0, 2], the output should be 3 (buy on day 1, sell on day 2, buy on day 4, sell on day 5).\n - For prices = [1, 2, 3, 0], the output should be 2 (buy on day 1, sell on day 3).\n \"\"\"\n if not prices:\n return 0\n\n n = len(prices)\n buy = [0] * n\n sell = [0] * n\n cooldown = [0] * n\n\n buy[0] = -prices[0]\n\n for i in range(1, n):\n buy[i] = max(buy[i - 1], cooldown[i - 1] - prices[i])\n sell[i] = max(sell[i - 1], buy[i - 1] + prices[i])\n cooldown[i] = max(cooldown[i - 1], sell[i - 1])\n\n return max(sell[-1], cooldown[-1])\n\n# tests", "tests": ["assert max_profit_with_cooldown([1, 2, 3, 0, 2]) == 3", "assert max_profit_with_cooldown([1, 2, 3, 0]) == 2", "assert max_profit_with_cooldown([1, 2, 2, 2, 1]) == 1"], "broken": "def max_profit_with_cooldown(prices):\n \"\"\"\n Given a list of daily stock prices, compute the maximum profit that can be made by buying and selling the stock\n once, with a cooldown of 1 day between transactions.\n Return the maximum profit possible. Assume that you cannot perform multiple transactions at once.\n\n Example:\n - For prices = [1, 2, 3, 0, 2], the output should be 3 (buy on day 1, sell on day 2, buy on day 4, sell on day 5).", "error": " \"\"\"\n ^\nSyntaxError: unterminated triple-quoted string literal (detected at line 12)", "fixed": "def max_profit_with_cooldown(prices):\n \"\"\"\n Given a list of daily stock prices, compute the maximum profit that can be made by buying and selling the stock\n once, with a cooldown of 1 day between transactions.\n Return the maximum profit possible. Assume that you cannot perform multiple transactions at once.\n\n Example:\n - For prices = [1, 2, 3, 0, 2], the output should be 3 (buy on day 1, sell on day 2, buy on day 4, sell on day 5).\n - For prices = [1, 2, 3, 0], the output should be 2 (buy on day 1, sell on day 3).\n \"\"\"\n if not prices:\n return 0\n\n n = len(prices)\n buy = [0] * n\n sell = [0] * n\n cooldown = [0] * n\n\n buy[0] = -prices[0]\n\n for i in range(1, n):\n buy[i] = max(buy[i - 1], cooldown[i - 1] - prices[i])\n sell[i] = max(sell[i - 1], buy[i - 1] + prices[i])\n cooldown[i] = max(cooldown[i - 1], sell[i - 1])\n\n return max(sell[-1], cooldown[-1])"}
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{"signature": "def find_longest_substring_with_k_distinct_characters(s: str, k: int) -> str:\n \"\"\"\n Given a string s and an integer k, return the length of the longest substring of s that contains at most k distinct characters.\n \"\"\"\n from collections import defaultdict\n \n if len(s) == 0 or k < 1:\n return \"\"\n \n char_freq = defaultdict(int)\n start = 0\n max_length = 0\n max_substring = \"\"\n \n for end in range(len(s)):\n char_freq[s[end]] += 1\n \n while len(char_freq) > k:\n char_freq[s[start]] -= 1\n if char_freq[s[start]] == 0:\n del char_freq[s[start]]\n start += 1\n \n if end - start + 1 > max_length:\n max_length = end - start + 1\n max_substring = s[start:end + 1]\n \n return max_substring\n\n# tests", "tests": ["assert find_longest_substring_with_k_distinct_characters(\"abcba\", 2) == \"bcb\"", "assert find_longest_substring_with_k_distinct_characters(\"abaccc\", 1) == \"ccc\"", "assert find_longest_substring_with_k_distinct_characters(\"\", 3) == \"\""], "broken": "Implement: def find_longest_substring_with_k_distinct_characters(s: str, k: int) -> str:\n \"\"\"\n Given a string s and an integer k, return the length of the longest substring of s that contains at most k distinct characters.\n \"\"\"\n from collections import defaultdict\n \n if len(s) == 0 or k < 1:\n return \"\"\n \n char_freq = defaultdict(int)\n start = 0\n max_length = 0\n max_substring = \"\"\n \n for end in range(len(s)):\n char_freq[s[end]] += 1\n \n while len(char_freq) > k:\n char_freq[s[start]] -= 1\n if char_freq[s[start]] == 0:\n del char_freq[s[start]]\n start += 1\n \n if end - start + 1 > max_length:\n max_length = end - start + 1\n max_substring = s[start:end + 1]\n \n return max_substring\n\n# tests\n\nTests:\nassert find_longest_substring_with_k_distinct_characters(\"abcba\", 2) == \"bcb\"\nassert find_longest_substring_with_k_distinct_characters(\"abaccc\", 1) == \"ccc\"\nassert find_longest_substring_with_k_distinct_characters(\"\", 3) == \"\"", "error": " Implement: def find_longest_substring_with_k_distinct_characters(s: str, k: int) -> str:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def find_longest_substring_with_k_distinct_characters(s: str, k: int) -> str:\n \"\"\"\n Given a string s and an integer k, return the length of the longest substring of s that contains at most k distinct characters.\n \"\"\"\n from collections import defaultdict\n\n if len(s) == 0 or k < 1:\n return \"\"\n\n char_freq = defaultdict(int)\n start = 0\n max_length = 0\n max_substring = \"\"\n\n for end in range(len(s)):\n char_freq[s[end]] += 1\n\n while len(char_freq) > k:\n char_freq[s[start]] -= 1\n if char_freq[s[start]] == 0:\n del char_freq[s[start]]\n start += 1\n\n if end - start + 1 > max_length:\n max_length = end - start + 1\n max_substring = s[start:end + 1]\n\n return max_substring"}
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{"signature": "def longest_increasing_subsequence(arr):\n \"\"\"\n Find the length of the longest strictly increasing subsequence in the given list.\n (Note: A subsequence is a sequence that can be derived from another sequence by deleting some or no elements\n without changing the order of the remaining elements.)\n\n Args:\n arr: A list of integers\n\n Returns:\n The length of the longest increasing subsequence.\n\n Assumptions:\n - The solution should use dynamic programming.\n\n Edge Cases:\n - An empty array will return 0.\n - An array with all negative elements will still look for the longest increasing subsequence.\n - The function should handle arrays with any combination of duplicates and unique numbers.\n \"\"\"\n if not arr:\n return 0\n\n dp = [1] * len(arr)\n for i in range(1, len(arr)):\n for j in range(i):\n if arr[i] > arr[j]:\n dp[i] = max(dp[i], dp[j] + 1)\n\n return max(dp)\n\n# tests", "tests": ["assert longest_increasing_subsequence([10, 9, 2, 5, 3, 7, 101, 18]) == 4", "assert longest_increasing_subsequence([]) == 0", "assert longest_increasing_subsequence([-1, -2, -3, -4]) == 1"], "broken": "block only.\ndef longest_increasing_subsequence(arr):\n \"\"\"\n Find the length of the longest strictly increasing subsequence in the given list.\n (Note: A subsequence is a sequence that can be derived from another sequence by deleting some or no elements\n without changing the order of the remaining elements.)\n\n Args:\n arr: A list of integers\n\n Returns:\n The length of the longest increasing subsequence.\n\n Assumptions:\n - The solution should use dynamic programming.\n\n Edge Cases:\n - An empty array will return 0.\n - An array with all negative elements will still look for the longest increasing subsequence.\n - The function should handle arrays with any combination of duplicates and unique numbers.\n \"\"\"\n if not arr:\n return 0\n\n dp = [1] * len(arr)\n for i in range(1, len(arr)):\n for j in range(i):\n if arr[i] > arr[j]:\n dp[i] = max(dp[i], dp[j] + 1)\n\n return max(dp)", "error": " block only.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def longest_increasing_subsequence(arr):\n \"\"\"\n Find the length of the longest strictly increasing subsequence in the given list.\n (Note: A subsequence is a sequence that can be derived from another sequence by deleting some or no elements\n without changing the order of the remaining elements.)\n\n Args:\n arr: A list of integers\n\n Returns:\n The length of the longest increasing subsequence.\n\n Assumptions:\n - The solution should use dynamic programming.\n\n Edge Cases:\n - An empty array will return 0.\n - An array with all negative elements will still look for the longest increasing subsequence.\n - The function should handle arrays with any combination of duplicates and unique numbers.\n \"\"\"\n if not arr:\n return 0\n\n dp = [1] * len(arr)\n for i in range(1, len(arr)):\n for j in range(i):\n if arr[i] > arr[j]:\n dp[i] = max(dp[i], dp[j] + 1)\n\n return max(dp)"}
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{"signature": "def longest_increasing_subsequence(arr):\n \"\"\"\n Find the length of the longest strictly increasing subsequence in the given list.\n (Note: A subsequence is a sequence that can be derived from another sequence by deleting some or no elements\n without changing the order of the remaining elements.)\n\n Args:\n arr: A list of integers\n\n Returns:\n The length of the longest increasing subsequence.\n\n Assumptions:\n - The solution should use dynamic programming.\n\n Edge Cases:\n - An empty array will return 0.\n - An array with all negative elements will still look for the longest increasing subsequence.\n - The function should handle arrays with any combination of duplicates and unique numbers.\n \"\"\"\n if not arr:\n return 0\n\n dp = [1] * len(arr)\n for i in range(1, len(arr)):\n for j in range(i):\n if arr[i] > arr[j]:\n dp[i] = max(dp[i], dp[j] + 1)\n\n return max(dp)\n\n# tests", "tests": ["assert longest_increasing_subsequence([10, 9, 2, 5, 3, 7, 101, 18]) == 4", "assert longest_increasing_subsequence([]) == 0", "assert longest_increasing_subsequence([-1, -2, -3, -4]) == 1"], "broken": "Implement the function def longest_increasing_subsequence(arr):\ndef longest_increasing_subsequence(arr):\n if not arr:\n return 0\n\n dp = [1] * len(arr)\n for i in range(1, len(arr)):\n for j in range(i):\n if arr[i] > arr[j]:\n dp[i] = max(dp[i], dp[j] + 1)\n\n return max(dp)", "error": " Implement the function def longest_increasing_subsequence(arr):\n ^^^\nSyntaxError: invalid syntax", "fixed": "def longest_increasing_subsequence(arr):\n \"\"\"\n Find the length of the longest strictly increasing subsequence in the given list.\n (Note: A subsequence is a sequence that can be derived from another sequence by deleting some or no elements\n without changing the order of the remaining elements.)\n\n Args:\n arr: A list of integers\n\n Returns:\n The length of the longest increasing subsequence.\n\n Assumptions:\n - The solution should use dynamic programming.\n\n Edge Cases:\n - An empty array will return 0.\n - An array with all negative elements will still look for the longest increasing subsequence.\n - The function should handle arrays with any combination of duplicates and unique numbers.\n \"\"\"\n if not arr:\n return 0\n\n dp = [1] * len(arr)\n for i in range(1, len(arr)):\n for j in range(i):\n if arr[i] > arr[j]:\n dp[i] = max(dp[i], dp[j] + 1)\n\n return max(dp)"}
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{"signature": "def longest_substring(s: str) -> int:\n \"\"\"\n Find the length of the longest substring without repeating characters.\n :param s: String to analyze.\n :return: Length of the longest substring.\n \"\"\"\n if len(s) < 2:\n return len(s)\n char_map = {}\n start = 0\n max_length = 0\n for i, char in enumerate(s):\n if char in char_map and start <= char_map[char]:\n start = char_map[char] + 1\n else:\n max_length = max(max_length, i - start + 1)\n char_map[char] = i\n return max_length\n\n# tests", "tests": ["assert longest_substring(\"abcabcbb\") == 3", "assert longest_substring(\"bbbbb\") == 1", "assert longest_substring(\"pwwkew\") == 3"], "broken": "longest_substring(s: str) -> int:", "error": " longest_substring(s: str) -> int:\n ^\nSyntaxError: invalid syntax", "fixed": "def longest_substring(s: str) -> int:\n \"\"\"\n Find the length of the longest substring without repeating characters.\n :param s: String to analyze.\n :return: Length of the longest substring.\n \"\"\"\n if len(s) < 2:\n return len(s)\n char_map = {}\n start = 0\n max_length = 0\n for i, char in enumerate(s):\n if char in char_map and start <= char_map[char]:\n start = char_map[char] + 1\n else:\n max_length = max(max_length, i - start + 1)\n char_map[char] = i\n return max_length"}
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{"signature": "def find_longest_unique_substring(s: str) -> str:\n \"\"\"\n Given a string, find the length of the longest substring without repeating characters.\n Return the substring itself.\n \"\"\"\n n = len(s)\n ans = \"\"\n ans_len = 0\n for i in range(n):\n # Using hash map to store characters in the current window\n chars_in_window = {}\n tmp = \"\"\n for j in range(i, n):\n if s[j] in chars_in_window:\n # If a repeating character is found, break the inner loop\n break\n # Add character to the window hash map\n chars_in_window[s[j]] = 1\n # Add character to the temporary substring\n tmp += s[j]\n # Check if the current substring is longer than the previously stored answer\n if len(tmp) > ans_len:\n ans = tmp\n ans_len = len(tmp)\n return ans\n\n# tests", "tests": ["assert find_longest_unique_substring(\"abcabcbb\") == \"abc\"", "assert find_longest_unique_substring(\"bbbbb\") == \"b\"", "assert find_longest_unique_substring(\"pwwkew\") == \"wke\""], "broken": "block. You are an expert Python coder. Output one", "error": " block. You are an expert Python coder. Output one\n ^^^\nSyntaxError: invalid syntax", "fixed": "def find_longest_unique_substring(s: str) -> str:\n n = len(s)\n ans = \"\"\n ans_len = 0\n for i in range(n):\n chars_in_window = {}\n tmp = \"\"\n for j in range(i, n):\n if s[j] in chars_in_window:\n break\n chars_in_window[s[j]] = 1\n tmp += s[j]\n if len(tmp) > ans_len:\n ans = tmp\n ans_len = len(tmp)\n return ans"}
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{"signature": "def find_longest_substring_with_k_distinct_chars(s, k):\n \"\"\"\n Given a string `s` and an integer `k`, find the length of the longest substring that contains at most `k` distinct characters.\n\n For example:\n - find_longest_substring_with_k_distinct_chars('eceba', 2) should return 3 ('ece' or 'eba')\n - find_longest_substring_with_k_distinct_chars('aa', 1) should return 2 ('aa')\n - find_longest_substring_with_k_distinct_chars('abaccc', 2) should return 4 ('bacc' or 'abac')\n \"\"\"\n left = 0\n max_length = 0\n char_count = {}\n \n for right, char in enumerate(s):\n char_count[char] = char_count.get(char, 0) + 1\n \n while len(char_count) > k:\n char_count[s[left]] -= 1\n if char_count[s[left]] == 0:\n del char_count[s[left]]\n left += 1\n \n max_length = max(max_length, right - left + 1)\n \n return max_length\n\n# tests", "tests": ["assert find_longest_substring_with_k_distinct_chars('eceba', 2) == 3", "assert find_longest_substring_with_k_distinct_chars('aa', 1) == 2", "assert find_longest_substring_with_k_distinct_chars('abaccc', 2) == 4"], "broken": "# Test the function\nassert find_longest_substring_with_k_distinct_chars('eceba', 2) == 3\nassert find_longest_substring_with_k_distinct_chars('aa', 1) == 2\nassert find_longest_substring_with_k_distinct_chars('abaccc', 2) == 4", "error": " assert find_longest_substring_with_k_distinct_chars('eceba', 2) == 3\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\nNameError: name 'find_longest_substring_with_k_distinct_chars' is not defined", "fixed": "def find_longest_substring_with_k_distinct_chars(s, k):\n left = 0\n max_length = 0\n char_count = {}\n \n for right, char in enumerate(s):\n char_count[char] = char_count.get(char, 0) + 1\n \n while len(char_count) > k:\n char_count[s[left]] -= 1\n if char_count[s[left]] == 0:\n del char_count[s[left]]\n left += 1\n \n max_length = max(max_length, right - left + 1)\n \n return max_length"}
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{"signature": "def find_longest_substring_with_k_distinct_chars(s, k):\n \"\"\"\n Given a string `s` and an integer `k`, find the length of the longest substring that contains at most `k` distinct characters.\n\n For example:\n - find_longest_substring_with_k_distinct_chars('eceba', 2) should return 3 ('ece' or 'eba')\n - find_longest_substring_with_k_distinct_chars('aa', 1) should return 2 ('aa')\n - find_longest_substring_with_k_distinct_chars('abaccc', 2) should return 4 ('bacc' or 'abac')\n \"\"\"\n left = 0\n max_length = 0\n char_count = {}\n \n for right, char in enumerate(s):\n char_count[char] = char_count.get(char, 0) + 1\n \n while len(char_count) > k:\n char_count[s[left]] -= 1\n if char_count[s[left]] == 0:\n del char_count[s[left]]\n left += 1\n \n max_length = max(max_length, right - left + 1)\n \n return max_length\n\n# tests", "tests": ["assert find_longest_substring_with_k_distinct_chars('eceba', 2) == 3", "assert find_longest_substring_with_k_distinct_chars('aa', 1) == 2", "assert find_longest_substring_with_k_distinct_chars('abaccc', 2) == 4"], "broken": "This is the function that finds the length of the longest substring with at most k distinct characters in the input string.", "error": " This is the function that finds the length of the longest substring with at most k distinct characters in the input string.\n ^^^^^^^^\nSyntaxError: invalid syntax", "fixed": "def find_longest_substring_with_k_distinct_chars(s, k):\n left = 0\n max_length = 0\n char_count = {}\n \n for right, char in enumerate(s):\n char_count[char] = char_count.get(char, 0) + 1\n \n while len(char_count) > k:\n char_count[s[left]] -= 1\n if char_count[s[left]] == 0:\n del char_count[s[left]]\n left += 1\n \n max_length = max(max_length, right - left + 1)\n \n return max_length"}
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{"signature": "def longest_common_subsequence(s1: str, s2: str) -> int:\n \"\"\"\n Given two strings s1 and s2, find the length of the longest common subsequence.\n \n The longest common subsequence (LCS) problem is a classic computer science problem \n that is often solved using dynamic programming.\n \n For example:\n longest_common_subsequence(\"abcde\", \"ace\") -> 3\n longest_common_subsequence(\"abc\", \"def\") -> 0\n longest_common_subsequence(\"\", \"\") -> 0\n \"\"\"\n m, n = len(s1), len(s2)\n \n dp = [[0] * (n + 1) for _ in range(m + 1)]\n \n for i in range(1, m + 1):\n for j in range(1, n + 1):\n if s1[i - 1] == s2[j - 1]:\n dp[i][j] = dp[i - 1][j - 1] + 1\n else:\n dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])\n \n return dp[m][n]\n\n# tests", "tests": ["assert longest_common_subsequence(\"abcde\", \"ace\") == 3", "assert longest_common_subsequence(\"abc\", \"def\") == 0", "assert longest_common_subsequence(\"\", \"\") == 0"], "broken": "Implement: def longest_common_subsequence(s1: str, s2: str) -> int:\n \"\"\"\n Given two strings s1 and s2, find the length of the longest common subsequence.\n \n The longest common subsequence (LCS) problem is a classic computer science problem \n that is often solved using dynamic programming.\n \n For example:\n longest_common_subsequence(\"abcde\", \"ace\") -> 3\n longest_common_subsequence(\"abc\", \"def\") -> 0\n longest_common_subsequence(\"\", \"\") -> 0\n \"\"\"\n m, n = len(s1), len(s2)\n \n dp = [[0] * (n + 1) for _ in range(m + 1)]\n \n for i in range(1, m + 1):\n for j in range(1, n + 1):\n if s1[i - 1] == s2[j - 1]:\n dp[i][j] = dp[i - 1][j - 1] + 1\n else:\n dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])\n \n return dp[m][n]", "error": " Implement: def longest_common_subsequence(s1: str, s2: str) -> int:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def longest_common_subsequence(s1: str, s2: str) -> int:\n m, n = len(s1), len(s2)\n \n dp = [[0] * (n + 1) for _ in range(m + 1)]\n \n for i in range(1, m + 1):\n for j in range(1, n + 1):\n if s1[i - 1] == s2[j - 1]:\n dp[i][j] = dp[i - 1][j - 1] + 1\n else:\n dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])\n \n return dp[m][n]"}
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{"signature": "def longest_common_subsequence(s1: str, s2: str) -> int:\n \"\"\"\n Given two strings s1 and s2, find the length of the longest common subsequence.\n \n The longest common subsequence (LCS) problem is a classic computer science problem \n that is often solved using dynamic programming.\n \n For example:\n longest_common_subsequence(\"abcde\", \"ace\") -> 3\n longest_common_subsequence(\"abc\", \"def\") -> 0\n longest_common_subsequence(\"\", \"\") -> 0\n \"\"\"\n m, n = len(s1), len(s2)\n \n dp = [[0] * (n + 1) for _ in range(m + 1)]\n \n for i in range(1, m + 1):\n for j in range(1, n + 1):\n if s1[i - 1] == s2[j - 1]:\n dp[i][j] = dp[i - 1][j - 1] + 1\n else:\n dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])\n \n return dp[m][n]\n\n# tests", "tests": ["assert longest_common_subsequence(\"abcde\", \"ace\") == 3", "assert longest_common_subsequence(\"abc\", \"def\") == 0", "assert longest_common_subsequence(\"\", \"\") == 0"], "broken": "def longest_common_subsequence(s1: str, s2: str) -> int:\n \"\"\"\n Given two strings s1 and s2, find the length of the longest common subsequence.\n \n The longest common subsequence (LCS) problem is a classic computer science problem \n that is often solved using dynamic programming.\n \n For example:\n longest_common_subsequence(\"abcde\", \"ace\") -> 3\n longest_common_subsequence(\"abc\", \"def\") -> 0\n longest_common_subsequence(\"\", \"\") -> 0\n \"\"\"\n m, n = len(s1), len(s2)\n \n dp = [[0] * (n + 1) for _ in range(m + 1)]\n \n for i in range(1, m + 1):\n for j in range(1, n + 1):\n if s1[i - 1] == s2[j - 1]:", "error": "File \"/tmp/tmpyd1srr14.py\", line 21\n assert longest_common_subsequence(\"abcde\", \"ace\") == 3\nIndentationError: expected an indented block after 'if' statement on line 19", "fixed": "def longest_common_subsequence(s1: str, s2: str) -> int:\n m, n = len(s1), len(s2)\n \n dp = [[0] * (n + 1) for _ in range(m + 1)]\n \n for i in range(1, m + 1):\n for j in range(1, n + 1):\n if s1[i - 1] == s2[j - 1]:\n dp[i][j] = dp[i - 1][j - 1] + 1\n else:\n dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])\n \n return dp[m][n]"}
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{"signature": "def min_swaps_for_sorting(arr: list) -> int:\n \"\"\" Given an array arr[] of size N (1 <= N <= 1000), containing non-negative integers not greater than 1000, find the minimum number of swaps required to sort the array in non-decreasing order. Assume that the array is 1-indexed. \"\"\"\n n = len(arr)\n temp = arr.copy()\n temp.sort()\n ans = 0\n visited = [False] * n\n for i in range(n):\n if visited[i] or arr[i] == temp[i]:\n continue\n cycle_size = 0\n j = i\n while not visited[j]:\n visited[j] = True\n j = arr.index(temp[j])\n cycle_size += 1\n if cycle_size > 0:\n ans += (cycle_size - 1)\n return ans\n\n# tests", "tests": ["assert min_swaps_for_sorting([1, 5, 4, 3, 2]) == 2", "assert min_swaps_for_sorting([1, 0, 2]) == 1", "assert min_swaps_for_sorting([1, 2, 3, 4, 5]) == 0"], "broken": "block. You are an expert Python coder.", "error": " block. You are an expert Python coder.\n ^^^\nSyntaxError: invalid syntax", "fixed": "def min_swaps_for_sorting(arr: list) -> int:\n \"\"\" Given an array arr[] of size N (1 <= N <= 1000), containing non-negative integers not greater than 1000, find the minimum number of swaps required to sort the array in non-decreasing order. Assume that the array is 1-indexed. \"\"\"\n n = len(arr)\n temp = arr.copy()\n temp.sort()\n ans = 0\n visited = [False] * n\n for i in range(n):\n if visited[i] or arr[i] == temp[i]:\n continue\n cycle_size = 0\n j = i\n while not visited[j]:\n visited[j] = True\n j = arr.index(temp[j])\n cycle_size += 1\n if cycle_size > 0:\n ans += (cycle_size - 1)\n return ans"}
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{"signature": "def find_min_in_rotated(nums: list[int]) -> int:\n \"\"\"\n Given a rotated sorted array of integers (rotated at some pivot unknown to you beforehand), return the minimum element in the array.\n If the array contains duplicates, the function still needs to return the minimum element.\n Assume that the array may be empty and also may contain negative numbers.\n\n Example:\n find_min_in_rotated([3, 4, 5, 1, 2]) -> 1\n find_min_in_rotated([4, 5, 6, 7, 0, 1, 2]) -> 0\n find_min_in_rotated([2, 3, 4, 5, 6, 7, 8, 1]) -> 1\n find_min_in_rotated([]) -> raises ValueError\n find_min_in_rotated([3, 3, 3]) -> 3\n \"\"\"\n if not nums:\n raise ValueError(\"Input array is empty\")\n if len(nums) == 1:\n return nums[0]\n left, right = 0, len(nums) - 1\n while left < right:\n mid = (left + right) // 2\n if nums[mid] > nums[right]:\n left = mid + 1\n elif nums[mid] < nums[right]:\n right = mid\n else:\n right -= 1\n return nums[left]\n\n# tests", "tests": ["assert find_min_in_rotated([3, 4, 5, 1, 2]) == 1", "assert find_min_in_rotated([4, 5, 6, 7, 0, 1, 2]) == 0", "assert find_min_in_rotated([2, 3, 4, 5, 6, 7, 8, 1]) == 1", "assert find_min_in_rotated([3, 3, 3]) == 3"], "broken": "def find_min_in_rotated(nums: list[int]) -> int:\n \"\"\"\n Given a rotated sorted array of integers (rotated at some pivot unknown to you beforehand), return the minimum element in the array.\n If the array contains duplicates, the function still needs to return the minimum element.\n Assume that the array may be empty and also may contain negative numbers.\n\n Example:\n find_min_in_rotated([3, 4, 5, 1, 2]) -> 1\n find_min_in_rotated([4, 5, 6, 7, 0, 1, 2]) -> 0\n find_min_in_rotated([2, 3, 4, 5, 6, 7, 8, 1]) -> 1\n find_min_in_rotated([]) -> raises ValueError\n find_min_in_rotated([3, 3, 3]) -> 3\n \"\"\"\n if not nums:\n raise ValueError(\"Input array is empty\")\n if len(nums) == 1:\n return nums[0]\n left, right = 0, len(nums) - 1\n while left < right:\n mid = (left + right) // 2\n if nums[mid] > nums[right]:\n left = mid + 1\n elif nums[mid] < nums[right]:\n right = mid\n else:\n right -= 1\n return nums[left]\n\n# tests\n\nTests:\nassert find_min_in_rotated([3, 4, 5, 1, 2]) == 1\nassert find_min_in_rotated([4, 5, 6, 7, 0, 1, 2]) == 0\nassert find_min_in_rotated([2, 3, 4, 5, 6, 7, 8, 1]) == 1\nassert find_min_in_rotated([3, 3, 3]) == 3", "error": " Tests:\n ^\nSyntaxError: invalid syntax", "fixed": "def find_min_in_rotated(nums: list[int]) -> int:\n \"\"\"\n Given a rotated sorted array of integers (rotated at some pivot unknown to you beforehand), return the minimum element in the array.\n If the array contains duplicates, the function still needs to return the minimum element.\n Assume that the array may be empty and also may contain negative numbers.\n\n Example:\n find_min_in_rotated([3, 4, 5, 1, 2]) -> 1\n find_min_in_rotated([4, 5, 6, 7, 0, 1, 2]) -> 0\n find_min_in_rotated([2, 3, 4, 5, 6, 7, 8, 1]) -> 1\n find_min_in_rotated([]) -> raises ValueError\n find_min_in_rotated([3, 3, 3]) -> 3\n \"\"\"\n if not nums:\n raise ValueError(\"Input array is empty\")\n if len(nums) == 1:\n return nums[0]\n left, right = 0, len(nums) - 1\n while left < right:\n mid = (left + right) // 2\n if nums[mid] > nums[right]:\n left = mid + 1\n elif nums[mid] < nums[right]:\n right = mid\n else:\n right -= 1\n return nums[left]"}
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{"signature": "def find_kth_largest(nums: list, k: int) -> int:\n \"\"\"Given a list of integers, return the kth largest integer.\n\n nums - the list of integers\n k - the rank of the value to return\n \"\"\"\n\n import heapq\n k_smallest = heapq.nlargest(k, nums)\n return k_smallest[-1]\n\n# tests", "tests": ["assert find_kth_largest([3,2,1,5,6,4], 2) == 5", "assert find_kth_largest([3,2,3,1,2,4,5,5,6], 4) == 4", "assert find_kth_largest([1], 1) == 1"], "broken": "def find_kth_largest(nums: list, k: int) -> int:\n \"\"\"Given a list of integers, return the kth largest integer.\n\n nums - the list of integers\n k - the rank of the value to return\n \"\"\"\n return heapq.nlargest(k, nums)[-1]\n\n# tests\n\nassert find_kth_largest([3,2,1,5,6,4], 2) == 5\nassert find_kth_largest([3,2,3,1,2,4,5,5,6], 4) == 4\nassert find_kth_largest([1], 1) == 1", "error": " return heapq.nlargest(k, nums)[-1]\n ^^^^^\nNameError: name 'heapq' is not defined. Did you mean: 'help'?", "fixed": "def find_kth_largest(nums: list, k: int) -> int:\n \"\"\"Given a list of integers, return the kth largest integer.\n\n nums - the list of integers\n k - the rank of the value to return\n \"\"\"\n import heapq\n k_smallest = heapq.nlargest(k, nums)\n return k_smallest[-1]"}
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{"signature": "def longest_substring_with_distinct_chars(s: str) -> int:\n \"\"\"\n Given a string s, find the length of the longest substring without repeating characters.\n\n For example:\n - In 'abcabcbb', the longest substring is 'abc' with length 3.\n - In 'bbbb', the longest substring is 'b' with length 1.\n - In 'pwwkew', the longest substring is 'wke' or 'kew' with length 3.\n \"\"\"\n char_index = {}\n max_length = 0\n start = 0\n \n for end, char in enumerate(s):\n if char in char_index:\n start = max(start, char_index[char] + 1)\n \n char_index[char] = end\n max_length = max(max_length, end - start + 1)\n\n return max_length\n\n# tests", "tests": ["assert longest_substring_with_distinct_chars('abcabcbb') == 3", "assert longest_substring_with_distinct_chars('bbbb') == 1", "assert longest_substring_with_distinct_chars('') == 0"], "broken": "block only.\nImplement: def longest_substring_with_distinct_chars(s: str) -> int:\n \"\"\"\n Given a string s, find the length of the longest substring without repeating characters.\n\n For example:\n - In 'abcabcbb', the longest substring is 'abc' with length 3.\n - In 'bbbb', the longest substring is 'b' with length 1.\n - In 'pwwkew', the longest substring is 'wke' or 'kew' with length 3.\n \"\"\"\n char_index = {}\n max_length = 0\n start = 0\n \n for end, char in enumerate(s):\n if char in char_index:\n start = max(start, char_index[char] + 1)\n \n char_index[char] = end\n max_length = max(max_length, end - start + 1)\n\n return max_length\n\n# tests\n\nTests:\nassert longest_substring_with_distinct_chars('abcabcbb') == 3\nassert longest_substring_with_distinct_chars('bbbb') == 1\nassert longest_substring_with_distinct_chars('') == 0\n\nOutput only the function implementation in one", "error": " block only.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def longest_substring_with_distinct_chars(s: str) -> int:\n \"\"\"\n Given a string s, find the length of the longest substring without repeating characters.\n\n For example:\n - In 'abcabcbb', the longest substring is 'abc' with length 3.\n - In 'bbbb', the longest substring is 'b' with length 1.\n - In 'pwwkew', the longest substring is 'wke' or 'kew' with length 3.\n \"\"\"\n char_index = {}\n max_length = 0\n start = 0\n \n for end, char in enumerate(s):\n if char in char_index:\n start = max(start, char_index[char] + 1)\n \n char_index[char] = end\n max_length = max(max_length, end - start + 1)\n\n return max_length"}
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{"signature": "def longest_substring_with_distinct_chars(s: str) -> int:\n \"\"\"\n Given a string s, find the length of the longest substring without repeating characters.\n\n For example:\n - In 'abcabcbb', the longest substring is 'abc' with length 3.\n - In 'bbbb', the longest substring is 'b' with length 1.\n - In 'pwwkew', the longest substring is 'wke' or 'kew' with length 3.\n \"\"\"\n char_index = {}\n max_length = 0\n start = 0\n \n for end, char in enumerate(s):\n if char in char_index:\n start = max(start, char_index[char] + 1)\n \n char_index[char] = end\n max_length = max(max_length, end - start + 1)\n\n return max_length\n\n# tests", "tests": ["assert longest_substring_with_distinct_chars('abcabcbb') == 3", "assert longest_substring_with_distinct_chars('bbbb') == 1", "assert longest_substring_with_distinct_chars('') == 0"], "broken": "block.\n\nAssistant: def longest_substring_with_distinct_chars(s: str) -> int:\n \"\"\"\n Given a string s, find the length of the longest substring without repeating characters.\n\n For example:\n - In 'abcabcbb', the longest substring is 'abc' with length 3.\n - In 'bbbb', the longest substring is 'b' with length 1.\n - In 'pwwkew', the longest substring is 'wke' or 'kew' with length 3.\n \"\"\"\n char_index = {}\n max_length = 0\n start = 0\n \n for end, char in enumerate(s):\n if char in char_index:\n start = max(start, char_index[char] + 1)\n \n char_index[char] = end\n max_length = max(max_length, end - start + 1)\n\n return max_length", "error": " block.\n ^\nSyntaxError: invalid syntax", "fixed": "def longest_substring_with_distinct_chars(s: str) -> int:\n \"\"\"\n Given a string s, find the length of the longest substring without repeating characters.\n\n For example:\n - In 'abcabcbb', the longest substring is 'abc' with length 3.\n - In 'bbbb', the longest substring is 'b' with length 1.\n - In 'pwwkew', the longest substring is 'wke' or 'kew' with length 3.\n \"\"\"\n char_index = {}\n max_length = 0\n start = 0\n \n for end, char in enumerate(s):\n if char in char_index:\n start = max(start, char_index[char] + 1)\n \n char_index[char] = end\n max_length = max(max_length, end - start + 1)\n\n return max_length"}
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{"signature": "def find_longest_increasing_subsequence(arr):\n \"\"\"Given an array of integers `arr`, return the length of the longest strictly increasing subsequence. A subsequence is a sequence that can be derived from the array by deleting some elements (possibly zero) without changing the order of the remaining elements. It is guaranteed that `arr` will contain at least one element, and all elements are distinct.\n\n Example:\n - `find_longest_increasing_subsequence([10,9,2,5,3,7,101,18])` should return `4`, as the longest increasing subsequence is [2,3,7,101].\n\n Constraints:\n - The input array will have at least one element.\n - The elements in the array are distinct.\n \"\"\"\n n = len(arr)\n lengths = [1] * n\n for i in range(1, n):\n for j in range(i):\n if arr[i] > arr[j] and lengths[i] < lengths[j] + 1:\n lengths[i] = lengths[j] + 1\n return max(lengths)\n\n# tests", "tests": ["assert find_longest_increasing_subsequence([10, 9, 2, 5, 3, 7, 101, 18]) == 4", "assert find_longest_increasing_subsequence([3, 4, -1, 0, 6, 2, 3]) == 4", "assert find_longest_increasing_subsequence([100]) == 1"], "broken": "def find_longest_increasing_subsequence(arr: List[int]) -> int:\n \"\"\"\n Given a list of integers `arr`, find the length of the longest strictly increasing subsequence.\n\n A subsequence is a sequence that can be derived from the array by deleting some elements (possibly zero) without changing the order of the remaining elements.\n\n The function should return an integer representing the length of the longest increasing subsequence.\n\n For example, if `arr = [10, 9, 2, 5, 3, 7, 101, 18]`, the function should return 4, as the longest increasing subsequence is [2, 3, 7, 101].\n\n You can assume that `arr` will have at least one element and all elements are distinct.\n\n \"\"\"", "error": " def find_longest_increasing_subsequence(arr: List[int]) -> int:\n ^^^^\nNameError: name 'List' is not defined. Did you mean: 'list'?", "fixed": "def find_longest_increasing_subsequence(arr):\n n = len(arr)\n lengths = [1] * n\n for i in range(1, n):\n for j in range(i):\n if arr[i] > arr[j] and lengths[i] < lengths[j] + 1:\n lengths[i] = lengths[j] + 1\n return max(lengths)"}
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{"signature": "def encode_message(message: str, key: int) -> str:\n \"\"\"\n Takes a string `message` and an integer `key`. Returns a string encoded using a simple Caesar cipher,\n where each character in the message is shifted by the key number of positions in the alphabet.\n Lowercase letters remain lowercase and uppercase letters remain uppercase, with non-alphabetic\n characters unchanged.\n \n - `message`: A string consisting of alphanumeric characters and spaces.\n - `key`: An integer between -100 and 100, inclusive, determining the shift amount.\n - Returns: A string, the encoded message.\n \"\"\"\n encoded_message = \"\"\n for char in message:\n if char.isalpha():\n # Get the ASCII value and shift it by the key\n shifted = ord(char) + key\n # Ensure lowercase remains lowercase and uppercase remains uppercase\n if (char.islower() and shifted > ord('z')) or (char.isupper() and shifted > ord('Z')):\n # Wrap around the alphabet\n shifted = shifted % (ord('a') - 1) + ord('a') if char.islower() else shifted % (ord('A') - 1) + ord('A')\n encoded_message += chr(shifted)\n else:\n # Non-alphabetic characters remain the same\n encoded_message += char\n return encoded_message\n\n# tests", "tests": ["assert encode_message(\"Hello, World!\", 3) == \"Khoor, Zruog!\"", "assert encode_message(\"Khoor, Zruog!\", -3) == \"Hello, World!\"", "assert encode_message(\"1234567890!@#$%^&*()_+\", 100) == \"1234567890!@#$%^&*()_+\""], "broken": ">>> encode_message(\"Hello, World!\", 3)\n'Khoor, Zruog!'\n>>> encode_message(\"Khoor, Zruog!\", -3)\n'Hello, World!'\n>>> encode_message(\"1234567890!@#$%^&*()_+\", 100)\n'1234567890!@#$%^&*()_+'", "error": " >>> encode_message(\"Hello, World!\", 3)\n ^^\nSyntaxError: invalid syntax", "fixed": "def encode_message(message: str, key: int) -> str:\n encoded_message = \"\"\n for char in message:\n if char.isalpha():\n shifted = ord(char) + key\n if (char.islower() and shifted > ord('z')) or (char.isupper() and shifted > ord('Z')):\n shifted = shifted % (ord('a') - 1) + ord('a') if char.islower() else shifted % (ord('A') - 1) + ord('A')\n encoded_message += chr(shifted)\n else:\n encoded_message += char\n return encoded_message"}
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{"signature": "def encode_message(message: str, key: int) -> str:\n \"\"\"\n Takes a string `message` and an integer `key`. Returns a string encoded using a simple Caesar cipher,\n where each character in the message is shifted by the key number of positions in the alphabet.\n Lowercase letters remain lowercase and uppercase letters remain uppercase, with non-alphabetic\n characters unchanged.\n \n - `message`: A string consisting of alphanumeric characters and spaces.\n - `key`: An integer between -100 and 100, inclusive, determining the shift amount.\n - Returns: A string, the encoded message.\n \"\"\"\n encoded_message = \"\"\n for char in message:\n if char.isalpha():\n # Get the ASCII value and shift it by the key\n shifted = ord(char) + key\n # Ensure lowercase remains lowercase and uppercase remains uppercase\n if (char.islower() and shifted > ord('z')) or (char.isupper() and shifted > ord('Z')):\n # Wrap around the alphabet\n shifted = shifted % (ord('a') - 1) + ord('a') if char.islower() else shifted % (ord('A') - 1) + ord('A')\n encoded_message += chr(shifted)\n else:\n # Non-alphabetic characters remain the same\n encoded_message += char\n return encoded_message\n\n# tests", "tests": ["assert encode_message(\"Hello, World!\", 3) == \"Khoor, Zruog!\"", "assert encode_message(\"Khoor, Zruog!\", -3) == \"Hello, World!\"", "assert encode_message(\"1234567890!@#$%^&*()_+\", 100) == \"1234567890!@#$%^&*()_+\""], "broken": "block only.\nImplement: def encode_message(message: str, key: int) -> str:\n \"\"\"\n Takes a string `message` and an integer `key`. Returns a string encoded using a simple Caesar cipher,\n where each character in the message is shifted by the key number of positions in the alphabet.\n Lowercase letters remain lowercase and uppercase letters remain uppercase, with non-alphabetic\n characters unchanged.\n \n - `message`: A string consisting of alphanumeric characters and spaces.\n - `key`: An integer between -100 and 100, inclusive, determining the shift amount.\n - Returns: A string, the encoded message.\n \"\"\"\n encoded_message = \"\"\n for char in message:\n if char.isalpha():\n # Get the ASCII value and shift it by the key\n shifted = ord(char) + key\n # Ensure lowercase remains lowercase and uppercase remains uppercase\n if (char.islower() and shifted > ord('z')) or (char.isupper() and shifted > ord('Z')):\n # Wrap around the alphabet\n shifted = shifted % (ord('a') - 1) + ord('a') if char.islower() else shifted % (ord('A') - 1) + ord('A')\n encoded_message += chr(shifted)\n else:\n # Non-alphabetic characters remain the same\n encoded_message += char\n return encoded_message\n\n# tests\nassert encode_message(\"Hello, World!\", 3) == \"Khoor, Zruog!\"\nassert encode_message(\"Khoor, Zruog!\", -3) == \"Hello, World!\"\nassert encode_message(\"1234567890!@#$%^&*()_+\", 100) == \"1234567890!@#$%^&*()_+\"", "error": " block only.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def encode_message(message: str, key: int) -> str:\n encoded_message = \"\"\n for char in message:\n if char.isalpha():\n shifted = ord(char) + key\n if (char.islower() and shifted > ord('z')) or (char.isupper() and shifted > ord('Z')):\n shifted = shifted % (ord('a') - 1) + ord('a') if char.islower() else shifted % (ord('A') - 1) + ord('A')\n encoded_message += chr(shifted)\n else:\n encoded_message += char\n return encoded_message"}
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{"signature": "def is_fibonacci_number(n: int) -> bool:\n \"\"\"\n Checks if a given number is a Fibonacci number.\n\n Parameters:\n - n: int - The number to check.\n\n Returns:\n - bool: True if the number is a Fibonacci number, False otherwise.\n \"\"\"\n if n == 0 or n == 1:\n return True\n a, b = 0, 1\n while b < n:\n a, b = b, a + b\n return b == n\n\n\n# tests", "tests": ["assert is_fibonacci_number(0) == True", "assert is_fibonacci_number(8) == True", "assert is_fibonacci_number(14) == False"], "broken": "block only.\n\nHere is the implementation of the `is_fibonacci_number` function as requested:", "error": " block only.\n ^^^^\nSyntaxError: invalid syntax", "fixed": "def is_fibonacci_number(n: int) -> bool:\n \"\"\"\n Checks if a given number is a Fibonacci number.\n\n Parameters:\n - n: int - The number to check.\n\n Returns:\n - bool: True if the number is a Fibonacci number, False otherwise.\n \"\"\"\n if n == 0 or n == 1:\n return True\n a, b = 0, 1\n while b < n:\n a, b = b, a + b\n return b == n"}
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{"signature": "def longest_consecutive_subsequence(nums: list) -> int:\n \"\"\"\n Given an unsorted array of integers `nums`, find the length of the longest consecutive elements sequence.\n \n For example, given [100, 4, 200, 1, 3, 2], the longest consecutive sequence is [1, 2, 3, 4] with length 4.\n \n The algorithm should handle empty input and duplicates gracefully.\n \n :param nums: list of integers\n :return: length of the longest consecutive subsequence\n \"\"\"\n num_set = set(nums) # Use a set to allow O(1) lookups.\n longest_streak = 0\n\n for num in num_set:\n # This is not the start of a sequence.\n if num - 1 in num_set:\n continue\n current_num = num\n current_streak = 1\n\n while current_num + 1 in num_set:\n current_num += 1\n current_streak += 1\n\n longest_streak = max(longest_streak, current_streak)\n\n return longest_streak\n\n# tests", "tests": ["assert longest_consecutive_subsequence([]) == 0", "assert longest_consecutive_subsequence([100, 4, 200, 1, 3, 2]) == 4", "assert longest_consecutive_subsequence([0, 3, 7, 2, 5, 8, 4, 6, 0, 1]) == 9"], "broken": "block as requested.", "error": " block as requested.\n ^^\nSyntaxError: invalid syntax", "fixed": "from typing import List\n\ndef longest_consecutive_subsequence(nums: List[int]) -> int:\n num_set = set(nums) # Use a set to allow O(1) lookups.\n longest_streak = 0\n\n for num in num_set:\n # This is not the start of a sequence.\n if num - 1 in num_set:\n continue\n current_num = num\n current_streak = 1\n\n while current_num + 1 in num_set:\n current_num += 1\n current_streak += 1\n\n longest_streak = max(longest_streak, current_streak)\n\n return longest_streak"}
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{"signature": "def longest_consecutive_subsequence(nums: list) -> int:\n \"\"\"\n Given an unsorted array of integers `nums`, find the length of the longest consecutive elements sequence.\n \n For example, given [100, 4, 200, 1, 3, 2], the longest consecutive sequence is [1, 2, 3, 4] with length 4.\n \n The algorithm should handle empty input and duplicates gracefully.\n \n :param nums: list of integers\n :return: length of the longest consecutive subsequence\n \"\"\"\n num_set = set(nums) # Use a set to allow O(1) lookups.\n longest_streak = 0\n\n for num in num_set:\n # This is not the start of a sequence.\n if num - 1 in num_set:\n continue\n current_num = num\n current_streak = 1\n\n while current_num + 1 in num_set:\n current_num += 1\n current_streak += 1\n\n longest_streak = max(longest_streak, current_streak)\n\n return longest_streak\n\n# tests", "tests": ["assert longest_consecutive_subsequence([]) == 0", "assert longest_consecutive_subsequence([100, 4, 200, 1, 3, 2]) == 4", "assert longest_consecutive_subsequence([0, 3, 7, 2, 5, 8, 4, 6, 0, 1]) == 9"], "broken": "Implement: def longest_consecutive_subsequence(nums: list) -> int:\n \"\"\"\n Given an unsorted array of integers `nums`, find the length of the longest consecutive elements sequence.\n \n For example, given [100, 4, 200, 1, 3, 2], the longest consecutive sequence is [1, 2, 3, 4] with length 4.\n \n The algorithm should handle empty input and duplicates gracefully.\n \n :param nums: list of integers\n :return: length of the longest consecutive subsequence\n \"\"\"\n num_set = set(nums) # Use a set to allow O(1) lookups.\n longest_streak = 0\n\n for num in num_set:\n # This is not the start of a sequence.\n if num - 1 in num_set:\n continue\n current_num = num\n current_streak = 1\n\n while current_num + 1 in num_set:\n current_num += 1\n current_streak += 1\n\n longest_streak = max(longest_streak, current_streak)\n\n return longest_streak\n\n# tests\n\nTests:\nassert longest_consecutive_subsequence([]) == 0\nassert longest_consecutive_subsequence([100, 4, 200, 1, 3, 2]) == 4\nassert longest_consecutive_subsequence([0, 3, 7, 2, 5, 8, 4, 6, 0, 1]) == 9", "error": " Implement: def longest_consecutive_subsequence(nums: list) -> int:\n ^^^\nSyntaxError: invalid syntax", "fixed": "from typing import List\n\ndef longest_consecutive_subsequence(nums: List[int]) -> int:\n num_set = set(nums) # Use a set to allow O(1) lookups.\n longest_streak = 0\n\n for num in num_set:\n # This is not the start of a sequence.\n if num - 1 in num_set:\n continue\n current_num = num\n current_streak = 1\n\n while current_num + 1 in num_set:\n current_num += 1\n current_streak += 1\n\n longest_streak = max(longest_streak, current_streak)\n\n return longest_streak"}
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{"signature": "def maximum_non_adjacent_sum(nums: list[int]) -> int:\n \"\"\"\n Given an integer array nums, return the maximum sum of non-adjacent elements in nums.\n \n Example:\n - maximum_non_adjacent_sum([2, 1, 5, 8, 4]) should return 11 (5 + 8)\n - maximum_non_adjacent_sum([-2, -1, -5, -8, -4]) should return 0 (no non-adjacent sum is possible)\n - maximum_non_adjacent_sum([2, 1, 5, 1, 3, 2]) should return 10 (2 + 5 + 3)\n \"\"\"\n incl = 0\n excl = 0\n \n for i in nums:\n new_excl = max(incl, excl)\n incl = excl + i\n excl = new_excl\n return max(incl, excl)\n\n# tests", "tests": ["assert maximum_non_adjacent_sum([2, 1, 5, 8, 4]) == 11", "assert maximum_non_adjacent_sum([-2, -1, -5, -8, -4]) == 0", "assert maximum_non_adjacent_sum([2, 1, 5, 1, 3, 2]) == 10"], "broken": "Implement: def maximum_non_adjacent_sum(nums: list[int]) -> int:\n \"\"\"\n Given an integer array nums, return the maximum sum of non-adjacent elements in nums.\n \n Example:\n - maximum_non_adjacent_sum([2, 1, 5, 8, 4]) should return 11 (5 + 8)\n - maximum_non_adjacent_sum([-2, -1, -5, -8, -4]) should return 0 (no non-adjacent sum is possible)\n - maximum_non_adjacent_sum([2, 1, 5, 1, 3, 2]) should return 10 (2 + 5 + 3)\n \"\"\"\n incl = 0\n excl = 0\n \n for i in nums:\n new_excl = max(incl, excl)\n incl = excl + i\n excl = new_excl\n return max(incl, excl)", "error": " Implement: def maximum_non_adjacent_sum(nums: list[int]) -> int:\n ^^^\nSyntaxError: invalid syntax", "fixed": "def maximum_non_adjacent_sum(nums: list[int]) -> int:\n incl = 0\n excl = 0\n \n for i in nums:\n new_excl = max(incl, excl)\n incl = excl + i\n excl = new_excl\n return max(incl, excl)"}
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{"signature": "def maximum_non_adjacent_sum(nums: list[int]) -> int:\n \"\"\"\n Given an integer array nums, return the maximum sum of non-adjacent elements in nums.\n \n Example:\n - maximum_non_adjacent_sum([2, 1, 5, 8, 4]) should return 11 (5 + 8)\n - maximum_non_adjacent_sum([-2, -1, -5, -8, -4]) should return 0 (no non-adjacent sum is possible)\n - maximum_non_adjacent_sum([2, 1, 5, 1, 3, 2]) should return 10 (2 + 5 + 3)\n \"\"\"\n incl = 0\n excl = 0\n \n for i in nums:\n new_excl = max(incl, excl)\n incl = excl + i\n excl = new_excl\n return max(incl, excl)\n\n# tests", "tests": ["assert maximum_non_adjacent_sum([2, 1, 5, 8, 4]) == 11", "assert maximum_non_adjacent_sum([-2, -1, -5, -8, -4]) == 0", "assert maximum_non_adjacent_sum([2, 1, 5, 1, 3, 2]) == 10"], "broken": "block.``python\ndef maximum_non_adjacent_sum(nums: list[int]) -> int:\n \"\"\"\n Given an integer array nums, return the maximum sum of non-adjacent elements in nums.\n \n Example:\n - maximum_non_adjacent_sum([2, 1, 5, 8, 4]) should return 11 (5 + 8)\n - maximum_non_adjacent_sum([-2, -1, -5, -8, -4]) should return 0 (no non-adjacent sum is possible)\n - maximum_non_adjacent_sum([2, 1, 5, 1, 3, 2]) should return 10 (2 + 5 + 3)\n \"\"\"\n incl = 0\n excl = 0\n \n for i in nums:\n new_excl = max(incl, excl)\n incl = excl + i\n excl = new_excl\n return", "error": " block.``python\n ^\nSyntaxError: invalid syntax", "fixed": "def maximum_non_adjacent_sum(nums: list[int]) -> int:\n incl = 0\n excl = 0\n \n for i in nums:\n new_excl = max(incl, excl)\n incl = excl + i\n excl = new_excl\n return max(incl, excl)"}
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