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Commit ffe6584

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Create Edit Distance
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‎Dynamic Programming 2/Edit Distance

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#include<iostream>
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using namespace std;
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int editdistance_dp(string s,string t){
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int m=s.size();
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int n=t.size();
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int **output=new int*[m+1];
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for(int i=0;i<=m;i++){
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output[i]=new int[n+1];
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}
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for(int j=0;j<=n;j++){
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output[0][j]=j;
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}
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for(int i=1;i<=m;i++){
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output[i][0]=i;
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}
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for(int i=1;i<=m;i++){
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for(int j=1;j<=n;j++){
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if(s[m-i]==t[n-j]){
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output[i][j]=output[i-1][j-1];
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}
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else{
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int a=output[i-1][j]+1;
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int b=output[i][j-1]+1;
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int c=output[i-1][j-1]+1;
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output[i][j]=min(a,min(b,c));
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}
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}
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}
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return output[m][n];
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}
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int editdistance_mem(string s,string t,int **output){
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int m=s.size();
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int n=t.size();
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if(s.size()==0||t.size()==0){
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return max(s.size(),t.size());
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}
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if(output[m][n]!=-1){
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return output[m][n];
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}
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int ans;
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if(s[0]==t[0]){
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ans=editdistance_mem(s.substr(1),t.substr(1),output);
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}
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else{
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int a=editdistance_mem(s.substr(1),t,output)+1;
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int b=editdistance_mem(s,t.substr(1),output)+1;
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int c=editdistance_mem(s.substr(1),t.substr(1),output)+1;
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ans=min(a,min(b,c));
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}
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output[m][n]=ans;
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return output[m][n];
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}
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int editdistance_mem(string s,string t){
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int m=s.size();
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int n=t.size();
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int **output=new int*[m+1];
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for(int i=0;i<=m;i++){
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output[i]=new int[n+1];
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for(int j=0;j<=n;j++){
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output[i][j]=-1;
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}
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}
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return editdistance_mem(s,t,output);
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}
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int editdistance(string s,string t){
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if(s.size()==0||t.size()==0){
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return max(s.size(),t.size());
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}
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if(s[0]==t[0]){
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return editdistance(s.substr(1),t.substr(1));
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}
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else{
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int a=editdistance(s.substr(1),t);
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int b=editdistance(s,t.substr(1));
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int c=editdistance(s.substr(1),t.substr(1));
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return min(a,min(b,c))+1;
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}
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}
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int main(){
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string s,t;
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cin>>s>>t;
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cout<<editdistance_dp(s,t)<<endl;
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cout<<editdistance_mem(s,t)<<endl;
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cout<<editdistance(s,t)<<endl;
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}

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