#include<iostream>
using namespace std;
int main() {
string s1,s2;
cin>>s1>>s2;
int n=s1.length();
int m=s2.length();
int dp[n+1][m+1];
for(int i=0;i<=n;i++){
for(int j=0;j<=m;j++){
if(i==0){
dp[i][j]=j;
}else if(j==0){
dp[i][j]=i;
}else if(s1[i-1]==s2[j-1]){
dp[i][j]=dp[i-1][j-1];
}else{
dp[i][j]=1+min(dp[i][j-1],min(dp[i-1][j],dp[i-1][j-1]));
}
}
}
cout<<dp[n][m];
return 0;
}
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