Go: package main

import "fmt"

func initialize_grid(width int,height int)[][]int{
	var grid [][]int
	for i:=0;i<height+1;i++{
		var grid_row  []int
		for j:=0;j<width+1;j++{
			grid_row = append(grid_row,0)
		}
		grid = append(grid,grid_row[:])
	}
	return grid
}

func ma(x int,y int)int{
	if x >= y{
		return x
	}else{
		return y
	}
}

func main()  {
	//Take input
	var num int
	var st1,st2 string
	var string_pairs [][]string
	fmt.Scan(&num)
	for i:=0;i<num;i++{
		var string_pair []string
		fmt.Scan(&st1)
		fmt.Scan(&st2)
		string_pair = append(string_pair,st1,st2)
		string_pairs = append(string_pairs,string_pair)
	}
	//DP
	//initialize grid
	for i:=0;i<num;i++{
		string_1 := string_pairs[i][0]
		string_2 := string_pairs[i][1]

		dp := initialize_grid(len(string_2),len(string_1))

		for j:=1;j<len(string_1)+1;j++{
			for k:=1;k<len(string_2)+1;k++{
				if string_1[j-1] == string_2[k-1]{
					dp[j][k] = dp[j-1][k-1] + 1
				}else{
					dp[j][k] = ma(dp[j-1][k],dp[j][k-1])
				}
			}
		}
		fmt.Println(dp[len(string_1)][len(string_2)])
	}
}

C++: #include <string>
#include <iostream>
using namespace std;

int n;
string x, y;
bool mat[1000][1000];
int a[1000][1000];

int max(int i, int j) {
	int r = (!mat[i - 1][j] ? a[i - 1][j] : 0);
	r = ((!mat[i][j - 1] && a[i][j - 1] > r) ? a[i][j - 1] : r);
	return r > a[i - 1][j - 1] ? r : a[i - 1][j - 1];
}

int main(){
	cin >> n;
	for (int ia = 0; ia < n; ia++) {
		int ans = 0;
		cin >> x >> y;
		for (int i = 0; i < x.length(); i++) {
			for (int j = 0; j < y.length(); j++) {
				if (x[i] == y[j]) {
					mat[i][j] = true;
				}
				else {
					mat[i][j] = false;
				}
			}
		}
		for (int i = 0; i < x.length(); i++) {
			a[i][0] = mat[i][0] ? 1 : 0;
		}
		for (int i = 1; i < y.length(); i++) {
			a[0][i] = mat[0][i] ? 1 : 0;
		}
		for (int i = 1; i < x.length(); i++) {
			for (int j = 1; j < y.length(); j++) {
				a[i][j] = max(i, j) + (mat[i][j] ? 1 : 0);
			}
		}
		int p = 0;
		for (int i = 0; i < x.length(); i++) {
			p = a[i][y.length() - 1] > p ? a[i][y.length() - 1] : p;
		}
		for (int i = 0; i < y.length() - 1; i++) {
			p = a[x.length() - 1][i] > p ? a[x.length() - 1][i] : p;
		}
		cout << p << endl;
	}


	return 0;
}

C++: #include<stdio.h>

int hantei(char x[], char y[]) {
  int xn = 0, yn = 0, flag = 0, i, j, max = 0;
  int c[101][101];
  
  while (flag == 0)
  {
    if (x[xn] != '\0')
    {
      xn++;
    }
    else
    {
      flag = 1;
    }
  }
  
  flag = 0;
  
  while (flag == 0)
  {
    if (y[yn] != '\0')
    {
      yn++;
    }
    else
    {
      flag = 1;
    }
  }
  for (i = 1; i < xn + 1; i++) c[i][0] = 0;
  for (j = 1; j < yn + 1; j++) c[0][j] = 0;
  
  for (i = 1; i < xn + 1; i++)
  {
    for (j = 1; j < yn + 1; j++)
    {
      if (x[i - 1] == y[j - 1])
      {
        c[i][j] = c[i - 1][j - 1] + 1;
      }
      else if (c[i - 1][j] >= c[i][j - 1])
      {
        c[i][j] = c[i - 1][j];
      }
      else
      {
        c[i][j] = c[i][j - 1];
      }
      if (max < c[i][j]) max = c[i][j];
    }
  }
  
  return max;
}

int main(void) {
  char x[1000], y[1000];
  int q, i;
  
  scanf("%d", &q);
  
  for (i = 0; i < q; i++)
  {
    scanf("%s", x);
    scanf("%s", y);
    printf("%d\n", hantei(x, y));
  }
  
  return 0;
}

C++: # include <iostream>
# include <string>
#include <algorithm>

using namespace std;

int main(){
    int q;
    scanf("%d", &q);
    while(q--)
    {
        string X, Y;
        cin>>X>>Y;
        int table[X.length() + 1][Y.length() + 1];
        for(int i=0; i<Y.length() + 1; i++) table[0][i] = 0;
        for(int i=1; i<X.length() + 1; i++)
        {
            table[i][0] = 0;
            for(int j=1; j<Y.length() + 1; j++)
            {
                if(X[i-1] == Y[j-1]) table[i][j] = table[i-1][j-1] + 1;
                else table[i][j] = max(table[i-1][j], table[i][j-1]);
            }
        }
        printf("%d\n", table[X.length()][Y.length()]);
    }
}

C++: #include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)

vector<vector<int> > DP(1000,vector<int>(1000));

void init(int n,int m){
    rep(i,n){
        rep(j,m){DP[i][j]=-1;}
    }
}

int LCS(char a[],char b[],int n,int m){
    if(n<0||m<0)return 0;
    if(DP[n][m]!=-1)return DP[n][m];
    if(a[n]==b[m])return DP[n][m]=1+LCS(a,b,n-1,m-1);
    return DP[n][m]=max(LCS(a,b,n-1,m),LCS(a,b,n,m-1));
}

int main(){
    int q;cin>>q;
    char s[1001],t[1001];
    rep(i,q){
        cin>>s>>t;
        int n=strlen(s),m=strlen(t);
        init(n,m);
        int ans=LCS(s,t,n-1,m-1);
        printf("%d\n",ans);
    }
}

C++: #include<iostream>
#include<math.h>
#include<stdlib.h>
#include<string>
#include<limits.h>
#include<utility>
#include<vector>
#include<tuple>
#include<algorithm>
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
#define rep(i,n) for(int i=0;i<n;i++)
#define ALL(A) A.begin(),A.end()


int main() {
	int n;
	cin >> n;
	rep(i, n) {
		string x, y;
		cin >> x >> y;
		int xl = x.length(), yl = y.length();
		vector<vector<int>> com(xl, vector<int>(yl, 0));
		rep(j, xl) {
			rep(k, yl) {
				if (j == 0) {
					if (k == 0) {
						if (x[j] != y[k]) {
							com[j][k] = 0;
						}
						else {
							com[j][k] = 1;
						}
					}
					else {
						if (com[j][k-1] == 1) {
							com[j][k] = 1;
						}
						else {
							if (x[j] != y[k]) {
								com[j][k] = 0;
							}
							else {
								com[j][k] = 1;
							}
						}
					}
				}
				else {
					if (k == 0) {
						if (com[j-1][k] == 1) {
							com[j][k] = 1;
						}
						else {
							if (x[j] == y[k]) {
								com[j][k] = 1;
							}
							else {
								com[j][k] = 0;
							}
						}
					}
					else {
						if (x[j] == y[k]) {
							com[j][k] = com[j - 1][k - 1]+1;
						}
						else {
							com[j][k] = max(com[j][k - 1], com[j - 1][k]);

						}
					}
				}
				//cout << com[j][k] <<" ";
			}
			//cout << x[j]<<endl;
		}
		cout << com[xl - 1][yl - 1] << endl;
	}
}

C++: #include<bits/stdc++.h>
using namespace std;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }


int main() {
	
	int q;
	cin >> q;
	for(int cnt=0; cnt<q; cnt++){
		string s,t;
		cin >> s >> t;
		vector<vector<int>> dp(s.size()+1,vector<int>(t.size()+1));
		for(int i=0; i<s.size(); i++){
			for(int j=0; j<t.size(); j++){
				if(s.at(i)==t.at(j)) dp.at(i+1).at(j+1) = dp.at(i).at(j) + 1;
				else  dp.at(i+1).at(j+1) = max( dp.at(i).at(j+1) , dp.at(i+1).at(j) );
			}
		}
		cout << dp.at(s.size()).at(t.size())<<endl;
	}
}

C++: //ALDS1_10_C:Longest Common Subsequence
#include <bits/stdc++.h>
using namespace std;
#define LL_MIN -9223372036854775808
#define LL_MAX 9223372036854775807

int main(){
    int q;
    cin >> q;
    for(int i=0; i<q; i++){
        string X,Y;
        cin >> X >> Y;
        int lcs[1001][1001];
        for(int i=0; i<=X.size(); i++){
            for(int j=0; j<=Y.size(); j++){
                if(i == 0 || j == 0) lcs[i][j] = 0;
                else if(X[i-1] == Y[j-1]) lcs[i][j] = lcs[i-1][j-1] + 1;
                else lcs[i][j] = max(lcs[i][j-1], lcs[i-1][j]);
            }
        }
        cout << lcs[X.size()][Y.size()] << endl;
    }
}