文章目录
- 1.两个字符串的删除操作
- 2.编辑距离
1.两个字符串的删除操作
给定两个单词 word1
和 word2
,返回使得 word1
和 word2
相同所需的最小步数。
每步可以删除任意一个字符串中的一个字符。
-
示例 1:
输入: word1 = “sea”, word2 = “eat”
输出: 2
解释: 第一步将 “sea” 变为 “ea”,第二步将 “eat” 变为 “ea” -
示例 2:
输入:word1 = “leetcode”, word2 = “etco”
输出:4
提示:
1 <= word1.length, word2.length <= 500
word1
和word2
只包含小写英文字母
class Solution {
public:int minDistance(string word1, string word2) {vector<vector<int>> dp(word1.size() + 1, vector<int>(word2.size() + 1));for (int i = 0; i <= word1.size(); i++) dp[i][0] = i;for (int j = 0; j <= word2.size(); j++) dp[0][j] = j;for (int i = 1; i <= word1.size(); i++) {for (int j = 1; j <= word2.size(); j++) {if (word1[i - 1] == word2[j - 1]) {dp[i][j] = dp[i - 1][j - 1];} else {dp[i][j] = min(dp[i - 1][j] + 1, dp[i][j - 1] + 1);}}}return dp[word1.size()][word2.size()];}
};
2.编辑距离
给你两个单词 word1
和 word2
,请返回将 word1
转换成 word2
所使用的最少操作数。
你可以对一个单词进行如下三种操作:
-
插入一个字符
-
删除一个字符
-
替换一个字符
-
示例 1:
输入:word1 = “horse”, word2 = “ros”
输出:3
解释:
horse -> rorse (将 ‘h’ 替换为 ‘r’)
rorse -> rose (删除 ‘r’)
rose -> ros (删除 ‘e’) -
示例 2:
输入:word1 = “intention”, word2 = “execution”
输出:5
解释:
intention -> inention (删除 ‘t’)
inention -> enention (将 ‘i’ 替换为 ‘e’)
enention -> exention (将 ‘n’ 替换为 ‘x’)
exention -> exection (将 ‘n’ 替换为 ‘c’)
exection -> execution (插入 ‘u’)
提示:
0 <= word1.length, word2.length <= 500
word1
和word2
由小写英文字母组成
class Solution {
public:int minDistance(string word1, string word2) {vector<vector<int>> dp(word1.size() + 1, vector<int>(word2.size() + 1, 0));for (int i = 0; i <= word1.size(); i++) dp[i][0] = i;for (int j = 0; j <= word2.size(); j++) dp[0][j] = j;for (int i = 1; i <= word1.size(); i++) {for (int j = 1; j <= word2.size(); j++) {if (word1[i - 1] == word2[j - 1]) {dp[i][j] = dp[i - 1][j - 1];}else {dp[i][j] = min({dp[i - 1][j - 1], dp[i - 1][j], dp[i][j - 1]}) + 1;}}}return dp[word1.size()][word2.size()];}
};