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Edit Distance

Given two words word1 and word2, find the minimum number of steps required to convert word1 to word2. (each operation is counted as 1 step.)

You have the following 3 operations permitted on a word:

a) Insert a character
b) Delete a character
c) Replace a character

class Solution {public:    int minDistance(string word1, string word2) {        int l1 = word2.length();        int l2 = word1.length();        vector<vector<int> > dp;        for(int i=0; i<=l1; i++){            vector<int> tmp(l2+1, 0);            dp.push_back(tmp);        }        for(int i=0;i<=l1;i++){            dp[i][0] = i;        }        for(int i=0;i<=l2;i++){            dp[0][i] = i;        }        int a, b;        for(int i=1;i<=l1;i++){            for(int j=1;j<=l2;j++){                a = (word2[i-1] == word1[j-1]) ? dp[i-1][j-1] : (dp[i-1][j-1]+1);                b = min(dp[i-1][j],dp[i][j-1]) + 1;                dp[i][j] = min(a, b);            }        }        return dp[l1][l2];    }};

 

Edit Distance