diff --git a/problems/0072.编辑距离.md b/problems/0072.编辑距离.md index 19e7aade..15f35f6c 100644 --- a/problems/0072.编辑距离.md +++ b/problems/0072.编辑距离.md @@ -429,6 +429,36 @@ impl Solution { } ``` +> 一维 dp + +```rust +impl Solution { + pub fn min_distance(word1: String, word2: String) -> i32 { + let mut dp = vec![0; word1.len() + 1]; + for (i, v) in dp.iter_mut().enumerate().skip(1) { + *v = i; + } + + for char2 in word2.chars() { + // 相当于 dp[i][0] 的初始化 + let mut pre = dp[0]; + dp[0] += 1; // j = 0, 将前 i 个字符变成空串的个数 + for (j, char1) in word1.chars().enumerate() { + let temp = dp[j + 1]; + if char1 == char2 { + dp[j + 1] = pre; + } else { + dp[j + 1] = dp[j + 1].min(dp[j]).min(pre) + 1; + } + pre = temp; + } + } + + dp[word1.len()] as i32 + } +} +``` +