#### clueless coding// TODO: be smarter

Cracking the Coding Interview Elements of Programming Interviews Programming Interviews Exposed # LeetCode Delete Operation for Two Strings: Java Solution

## Problem Statement

Given two words word1 and word2, find the minimum number of steps required to make word1 and word2 the same, where in each step you can delete one character in either string.

You can assume that the given words are below length 500, and that all letters are lowercase.

``````Function Signature (Java):
int minDistance(String word1, String word2)

Inputs:
word1 = "sea"
word2 = "eat"

Outputs:
2

Step 1: "sea" -> "ea"
Step 2: "eat" -> "ea"
``````

## TL;DR Code Solution

``````public int minDistance(String word1, String word2) {

int len1 = word1.length(), len2 = word2.length();
if (len1 == 0) return len2;
if (len2 == 0) return len1;

// dp[i][j] stands for distance of first i chars of word1 and first j chars of word2
int[][] dp = new int[len1 + 1][len2 + 1];
for (int i = 0; i <= len1; i++)
dp[i] = i;
for (int j = 0; j <= len2; j++)
dp[j] = j;

for (int i = 1; i <= len1; i++) {
for (int j = 1; j <= len2; j++) {
if (word1.charAt(i - 1) == word2.charAt(j - 1))
dp[i][j] = dp[i - 1][j - 1];
else
dp[i][j] = Math.min(dp[i - 1][j] + 1, dp[i][j - 1] + 1);
}
}

return dp[len1][len2];

}

``````