Given two strings
In one step, you can delete exactly one character in either string.
Example 1:
Input: word1 = "sea", word2 = "eat" Output: 2 Explanation: You need one step to make "sea" to "ea" and another step to make "eat" to "ea".
Example 2:
Input: word1 = "leetcode", word2 = "etco" Output: 4
Constraints:
1 <= word1.length, word2.length <= 500 word1 andword2 consist of only lowercase English letters.
Solution
如果能找到兩個字串的 longest common subsequence(LCS)
那麼最後的答案就是 word1.length + word2.length - LCS.length * 2
kotlin
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class Solution { | |
fun minDistance(word1: String, word2: String): Int { | |
// find longest common subsequence | |
val dp = Array(word1.length+1) { IntArray(word2.length+1) {0} } | |
for(i in 1..word1.length) { | |
for(j in 1..word2.length) { | |
if(word1[i-1] == word2[j-1]) { | |
dp[i][j] = dp[i-1][j-1] + 1 | |
} else { | |
dp[i][j] = Math.max(dp[i][j-1], dp[i-1][j]) | |
} | |
} | |
} | |
return word1.length + word2.length - dp.last().last() * 2 | |
} | |
} |
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