Problem: 2050E - Three Strings
Language: java

Solution 1 (runtime: 343 ms):
import java.util.Scanner;

public class Main {
    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();
           int[][] f=new int[a.length()+1][b.length()+1];
            for (int i = 0; i < a.length(); i++) {
                f[i+1][0]=f[i][0]+(a.charAt(i)==c.charAt(i)?0:1);
            }
            for (int i = 0; i < b.length(); i++) {
                f[0][i+1]=f[0][i]+(b.charAt(i)==c.charAt(i)?0:1);
            }
            f[0][0]=0;
            for (int i = 1; i <= a.length(); i++) {
                for (int j = 1; j <= b.length(); j++) {
                    f[i][j]=Integer.MAX_VALUE;
                    f[i][j]=Math.min(f[i][j],f[i-1][j]+(a.charAt(i-1)==c.charAt(i+j-1)? 0 : 1));
                    f[i][j]=Math.min(f[i][j],f[i][j-1]+(b.charAt(j-1)==c.charAt(i+j-1)? 0 : 1));
                }
            }
            System.out.println(f[a.length()][b.length()]);
        }
    }
}

Solution 2 (runtime: 390 ms):
import java.util.*;

public class Q1 {
    public static long solve(long n, HashMap<Long, Long> map) {
        if (n <= 3) {
            return 1;
        }

        if (map.containsKey(n)) {
            return map.get(n);
        }

        long count = solve(n / 4, map) + solve(n / 4, map);
        map.put(n, count);
        return map.get(n);
    }

    public static long gcd(long a, long b) {
        if (a == 0)
            return b;
        if (b == 0)
            return a;

        // Base case
        if (a == b)
            return a;

        // a is greater
        if (a > b) {
            if (a % b == 0)
                return b;
            return gcd(a - b, b);
        }
        if (b % a == 0)
            return a;
        return gcd(a, b - a);
    }

    public static int solve(int ai, int ci, String a, String b, String c, int dp[][]) {
        int bi = ci - ai;
        if (ai == a.length()) {
            String s1 = b.substring(bi);
            String s2 = c.substring(ci);
            if (s1.equals(s2)) {
                return 0;
            }
            int cnt = 0;
            for (int i = 0; i < s1.length(); i++) {
                if (s1.charAt(i) != s2.charAt(i)) {
                    cnt++;
                }
            }

            return cnt;
        }

        if (bi == b.length()) {
            String s1 = a.substring(ai);
            String s2 = c.substring(ci);
            if (s1.equals(s2)) {
                return 0;
            }
            int cnt = 0;
            for (int i = 0; i < s1.length(); i++) {
                if (s1.charAt(i) != s2.charAt(i)) {
                    cnt++;
                }
            }

            return cnt;
        }

        if (dp[ai][ci] != -1) {
            return dp[ai][ci];
        }

        int min = Integer.MAX_VALUE;
        if (a.charAt(ai) == c.charAt(ci)) {
            min = Math.min(solve(ai + 1, ci + 1, a, b, c, dp), min);
        }

        if (b.charAt(bi) == c.charAt(ci)) {
            min = Math.min(solve(ai, ci + 1, a, b, c, dp), min);
        }

        if (a.charAt(ai) != c.charAt(ci) || b.charAt(bi) != c.charAt(ci)) {
            min = Math.min(1 + Math.min(solve(ai + 1, ci + 1, a, b, c, dp), solve(ai, ci + 1, a, b, c, dp)), min);
        }

        return dp[ai][ci] = min;
    }

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