Problem: 2050E - Three Strings
Language: java

Solution 1 (runtime: 374 ms):
import java.util.*;

public class Solution {
    static int dp[][];
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();

        while(t-->0){
            String a=sc.next();
            String b=sc.next();
            String c=sc.next();
            dp=new int[a.length()+1][b.length()+1];

            for(int i=0;i<dp.length;i++){
                Arrays.fill(dp[i],-1);
            }
            System.out.println(solve(a,b,c,0,0,0));

        }
    }
    public static int solve(String a,String b,String c,int i,int j,int k){
        if(i==a.length() || j==b.length()){
            return calc(a,b,c,i,j,k);
        }
        if(dp[i][j]!=-1) return dp[i][j];
        if(c.charAt(k)==a.charAt(i) && c.charAt(k)==b.charAt(j)){
            return dp[i][j]=Math.min(solve(a,b,c,i+1,j,k+1),solve(a,b,c,i,j+1,k+1));

        }
        else if(c.charAt(k)==a.charAt(i) ){
            return dp[i][j]=Math.min(solve(a,b,c,i+1,j,k+1),1+solve(a,b,c,i,j+1,k+1));
        }
        else if(c.charAt(k)==b.charAt(j)){
            return dp[i][j]=Math.min(solve(a,b,c,i,j+1,k+1),1+solve(a,b,c,i+1,j,k+1));
        }
        else return dp[i][j]=1+Math.min(solve(a,b,c,i+1,j,k+1),solve(a,b,c,i,j+1,k+1));
    }

    public static int calc(String a,String b,String c,int i,int j,int k){
        int count=0;
        if(i==a.length()){
            while(j<b.length()){
                if(b.charAt(j)!=c.charAt(k)){
                    count++;
                }
                k++;
                j++;
            }

        }
        else{
            while(i<a.length()){
                if(a.charAt(i)!=c.charAt(k)){
                    count++;
                }
                i++;
                k++;
            }
        }
        return count;
    }
}

Solution 2 (runtime: 280 ms):
import java.util.*;
import java.io.*;

public class E {
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw = new PrintWriter(System.out);

        int tc = Integer.parseInt(br.readLine());

        while (tc-- > 0) {
            String s1 = br.readLine();
            String s2 = br.readLine();
            String s3 = br.readLine();

            int[][] dp = new int[s2.length()+1][s1.length()+1];

            for (int c = 1; c < dp[0].length; c++) {
                dp[0][c] = dp[0][c-1];                
                if (s3.charAt(c-1) != s1.charAt(c-1)) {
                    dp[0][c]++;
                }
            }

            for (int r = 1; r < dp.length; r++) {
                dp[r][0] = dp[r-1][0];
                if (s3.charAt(r-1) != s2.charAt(r-1)) {
                    dp[r][0]++;
                }
            }

            for (int r = 1; r < dp.length; r++) { // r = s2 used
                for (int c = 1; c < dp[0].length; c++) { // c = s1 used
                    int s1add = s3.charAt(r+c-1) == s1.charAt(c-1) ? 0 : 1;
                    int s2add = s3.charAt(r+c-1) == s2.charAt(r-1) ? 0 : 1;

                    dp[r][c] = Math.min(dp[r-1][c] + s2add, dp[r][c-1] + s1add);
                }
            }
            
            pw.println(dp[s2.length()][s1.length()]);
        }

        pw.close();
    }
}