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48 changes: 48 additions & 0 deletions shortest-subsequence
Original file line number Diff line number Diff line change
@@ -0,0 +1,48 @@
#include <bits/stdc++.h>
using namespace std ;

int solve(string s1, string s2, int i1, int i2, int** output)
{
// Write your code here.
if(s1.length() == i1)
return 1001 ;
if(s2.length() == i2)
return 1 ;

if(output[s1.size()-i1][s2.size()-i2] != -1)
return output[s1.size()-i1][s2.size()-i2] ;

int option1 = solve(s1, s2, i1+1, i2, output) ;
int option2 ;
int x = s1[i1] ;
int index = -1 ;
for(int i=i2;i<s2.size();i++) {
if(s2[i] == x)
{
index = i ;
break ;
}
}
if(index == -1)
option2 = 1 ;
else
{
option2 = 1 + solve(s1, s2, i1+1, index+1, output) ;
}

int ans = min(option1, option2) ;
output[s1.size()-i1][s2.size()-i2] = ans ;

return ans ;
}

int solve(string s1, string s2) {
int** output = new int*[s1.size()+1] ;
for(int i=0;i<=s1.size();i++) {
output[i] = new int[s2.size()+1] ;
for(int j=0;j<=s2.size();j++) {
output[i][j] = -1 ;
}
}
return solve(s1,s2,0,0,output) ;
}