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Auto-solve daily LeetCode problem using GPT-5-mini
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problems/712/gpt5-mini.md

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# [Problem 712: Minimum ASCII Delete Sum for Two Strings](https://leetcode.com/problems/minimum-ascii-delete-sum-for-two-strings/description/?envType=daily-question)
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## Initial thoughts (stream-of-consciousness)
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This looks like a variant of the Longest Common Subsequence (LCS) problem, but instead of maximizing length we care about ASCII-weighted characters. One way: for any common subsequence, keeping it means deleting all other characters from both strings; the cost is the sum of ASCII values of deleted chars. If I know the ASCII-sum of the largest-weight common subsequence, then the minimal delete cost = total ASCII sum of both strings minus twice that common subsequence sum. So I can reframe as: find the maximum ASCII sum of a common subsequence (a weighted LCS). That suggests a dynamic programming solution similar to LCS, with dp[i][j] representing the maximum ASCII-sum common subsequence using s1[:i] and s2[:j].
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A direct alternative is to compute dp representing minimal delete cost for prefixes, but computing max-weight common subsequence and subtracting is cleaner and symmetric.
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## Refining the problem, round 2 thoughts
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- Use DP with complexity O(m * n) where m = len(s1), n = len(s2). This fits constraints up to 1000 (1e6 operations).
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- Memory can be optimized to O(n) using a rolling row because dp[i][j] only depends on dp[i-1][j-1], dp[i-1][j], and dp[i][j-1].
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- Edge cases: one string empty -> delete all chars of the other string (sum ASCII of that string). The DP handles this naturally.
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- Implementation detail: maintain dp as 1D array of length (n+1). For each i, iterate j from 1..n, keep prev to represent dp[j-1] from previous row.
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- Complexity: Time O(mn), Space O(n).
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## Attempted solution(s)
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```python
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class Solution:
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def minimumDeleteSum(self, s1: str, s2: str) -> int:
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m, n = len(s1), len(s2)
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# dp[j] will hold the maximum ASCII-sum of common subsequence
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# for s1[:i] (current row) and s2[:j]. We'll reuse dp for each i.
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dp = [0] * (n + 1)
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for i in range(1, m + 1):
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prev = 0 # this will represent dp[j-1] from the previous row
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si = s1[i - 1]
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si_val = ord(si)
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for j in range(1, n + 1):
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temp = dp[j] # store dp[j] from previous row before overwriting
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if si == s2[j - 1]:
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dp[j] = prev + si_val
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else:
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# max of skipping a char from s1 (dp[j] previous row)
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# or skipping a char from s2 (dp[j-1] current row)
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dp[j] = max(dp[j], dp[j - 1])
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prev = temp
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max_common_ascii = dp[n]
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total_ascii = sum(ord(c) for c in s1) + sum(ord(c) for c in s2)
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return total_ascii - 2 * max_common_ascii
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```
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- Notes:
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- Approach: compute maximum ASCII-sum of a common subsequence using DP (weighted LCS). The minimal deletion cost equals total ASCII sum of both strings minus twice that maximum common-sum.
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- Time complexity: O(m * n), where m = len(s1), n = len(s2).
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- Space complexity: O(n) using a single-row rolling DP array.
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- The implementation uses a classic 1D LCS roll with a `prev` variable to access dp[j-1] from the previous row. This is efficient and straightforward.

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