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Java-based LeetCode algorithm problem solutions, regularly updated
package g0001_0100.s0072_edit_distance;
// #Hard #Top_100_Liked_Questions #String #Dynamic_Programming
// #Algorithm_II_Day_18_Dynamic_Programming #Dynamic_Programming_I_Day_19
// #Udemy_Dynamic_Programming #Big_O_Time_O(n^2)_Space_O(n2)
// #2023_08_11_Time_4_ms_(90.13%)_Space_41.8_MB_(99.78%)
/**
* 72 - Edit Distance\.
*
* Hard
*
* Given two strings `word1` and `word2`, return _the minimum number of operations required to convert `word1` to `word2`_.
*
* You have the following three operations permitted on a word:
*
* * Insert a character
* * Delete a character
* * Replace a character
*
* **Example 1:**
*
* **Input:** word1 = "horse", word2 = "ros"
*
* **Output:** 3
*
* **Explanation:** horse -> rorse (replace 'h' with 'r') rorse -> rose (remove 'r') rose -> ros (remove 'e')
*
* **Example 2:**
*
* **Input:** word1 = "intention", word2 = "execution"
*
* **Output:** 5
*
* **Explanation:** intention -> inention (remove 't') inention -> enention (replace 'i' with 'e') enention -> exention (replace 'n' with 'x') exention -> exection (replace 'n' with 'c') exection -> execution (insert 'u')
*
* **Constraints:**
*
* * `0 <= word1.length, word2.length <= 500`
* * `word1` and `word2` consist of lowercase English letters.
**/
@SuppressWarnings("java:S2234")
public class Solution {
public int minDistance(String w1, String w2) {
int n1 = w1.length();
int n2 = w2.length();
if (n2 > n1) {
return minDistance(w2, w1);
}
int[] dp = new int[n2 + 1];
for (int j = 0; j <= n2; j++) {
dp[j] = j;
}
for (int i = 1; i <= n1; i++) {
int pre = dp[0];
dp[0] = i;
for (int j = 1; j <= n2; j++) {
int tmp = dp[j];
dp[j] =
w1.charAt(i - 1) != w2.charAt(j - 1)
? 1 + Math.min(pre, Math.min(dp[j], dp[j - 1]))
: pre;
pre = tmp;
}
}
return dp[n2];
}
}
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