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MinDistance.java
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MinDistance.java
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public class MinDistance {
public static int minDistance(String word1, String word2) {
int m = word1.length();
int n = word2.length();
int[][] dp = new int[m+1][n+1];
/*
* 动态规划三部曲
* 分析问题
* 明确边界条件
* 根据条件写出递推方程式
*
* */
for (int i = 1; i <=m ; i++) {
dp[i][0] = i;
}
for (int j = 1; j <=n ; j++) {
dp[0][j] = j;
}
for (int i = 1; i < m+1; i++) {
char c1 = word1.charAt(i-1);
for (int j = 1; j < n+1; j++) {
char c2 = word2.charAt(j-1);
if (c1==c2){
dp[i][j] = dp[i-1][j-1];
}else {
dp[i][j] = Math.min(dp[i-1][j],dp[i][j-1])+1;
}
}
}
int ans = dp[m][n];
return ans;
}
public static void main(String[] args) {
String word1 = "sea";
String word2 = "eat";
System.out.println(minDistance(word1,word2));
}
}