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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define REP(i,n) for(int i=0; i<(n); i++)
#define REP2(i,x,n) for(int i=x; i<(n); i++)
#define PRINT(x) cout<<(x)<<endl
#define INF 1000000000000 // 10^12
#define MOD 1000000007 // 10^9+7
#define PB push_back
#define MP make_pair

const int MAX_X = 1000, MAX_Y = 1000;

int q;
string X, Y;

int dp[MAX_X + 1][MAX_Y + 1];

int main() {
    cin >> q;
    REP(_, q) {
        cin >> X >> Y;
        REP(i, X.size() + 1) {
            REP(j, Y.size() + 1) dp[i][j] = 0;
        }
        REP(i, X.size()) {
            REP(j, Y.size()) {
                dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j]);
                dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j + 1]);
                dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i + 1][j]);
                if (X[i] == Y[j]) dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j] + 1);
            }
        }
        int Z_size = dp[X.size()][Y.size()];
        PRINT(Z_size);
    }
    return 0;
}

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

using namespace std;

static const int N = 1000;

int lcs(string X, string Y) {
  int c[N + 1][N + 1];
  int m = X.size();
  int n = Y.size();
  
  for (int i = 0; i < m; i++) {
    for (int j = 0; j < n; j++) {
      if (X[i] == Y[j]) 
        if (i == 0 || j == 0) 
          c[i][j] = 1;
        else 
          c[i][j] = c[i - 1][j - 1] + 1;
      else
        if (i != 0 && j != 0) 
          c[i][j] = max(c[i][j - 1], c[i - 1][j]);
        else
          c[i][j] = 0;
    }
  }
  return c[m - 1][n - 1];
}

int main() {
  string s1, s2;
  int n;
  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> s1 >> s2;
    cout << lcs(s1, s2) << endl;
  }
  return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;
using ll =long long;
typedef pair<int,int> P;
#define SORT(a) sort((a).begin(),(a).end())
#define rSORT(a) reverse((a).begin(),(a).end())
#define For(i, a, b)    for(int i = (a) ; i < (b) ; ++i)
#define rep(i, n)       For(i, 0, n)
#define debug(x)  cerr << #x << " = " << (x) << endl;
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
//Write From this Line

int main()
{
	int q;
	cin >> q;
	while(q--){
		string a, b;
		cin >> a >> b;
		int dp[1010][1010];
		dp[0][0] = 0;
		rep(i,a.size()){
			rep(j,b.size()){
				if(a[i] == b[j]){
					dp[i+1][j+1] = dp[i][j] + 1;
				} else {
					dp[i+1][j+1] = max(dp[i+1][j], dp[i][j+1]);
				}
			}
		}
		cout << dp[a.size()][b.size()] << endl;
	}
}

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

using namespace std;

const int MAX = 1000;
int ary[MAX][MAX];

int getVal(int n, int m) {

	if (m >= 0 && n >= 0 && m < MAX && n < MAX) {
		return ary[n][m];
	}
	else {
		return 0;
	}
}

int LCS(string s1, string s2) {

	int m, n;
	m = s1.length();
	n = s2.length();
	const char* c1 = s1.c_str();
	const char* c2 = s2.c_str();

	for (int i = 0;i < n;i++) {
		for (int k = 0;k < m;k++) {

			if (c1[k] != c2[i]) {
				ary[i][k] = max(getVal(i - 1, k), getVal(i, k - 1));
			}
			else if (c1[k] == c2[i]) {
				ary[i][k] = getVal(i - 1, k- 1) + 1;
			}
		}
	}

	return ary[n - 1][m - 1];
}


int main() {


	int num;
	cin >> num;

	string str1, str2;

	for (int i = 0;i < num;i++) {
		cin >> str1 >> str2;

		cout << LCS(str1, str2) << endl;
	}
	return 0;
}

C++: #include <iostream>
#include <string>
#include <algorithm>
using namespace std;
static const int N=1000;

int lcs(string X,string Y)
{
	int c[N+1][N+1];
	int m=X.size();
	int n=Y.size();
	int maxl=0;
	X=' '+X;//??¨X[0]????????\?????????
	Y=' '+Y;//??¨Y[0]????????\?????????
	for(int i=1;i<=m;i++)c[i][0]=0;
	for(int j=1;j<=n;j++)c[0][j]=0;
	for(int i=1;i<=m;i++)
	{
		for(int j=1;j<=n;j++)
		{
			if(X[i]==Y[j])
			{
				c[i][j]=c[i-1][j-1]+1;
			}
			else 
			{
				c[i][j]=max(c[i-1][j],c[i][j-1]);
			}
			maxl=max(maxl,c[i][j]);
		}
	}
	return maxl;
}

int main()
{
	string s1,s2;
	int n;cin>>n;
	for(int i=0;i<n;i++)
	{
		cin>>s1>>s2;
		cout<<lcs(s1,s2)<<endl;
	}
	return 0;
}

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


constexpr int MAXLENGTH = 1000;
int C[MAXLENGTH + 1][MAXLENGTH + 1];
int lcs(std::string lhs, std::string rhs) {
    int lnum = lhs.length();
    int rnum = rhs.length();
    for (int i = 0; i <= lnum; i++) {
        C[i][0] = 0;
    }
    for (int i = 0; i <= rnum; i++) {
        C[0][i] = 0;
    }
    for (int il = 1; il <= lnum; il++) {
        for (int ir = 1; ir <= rnum; ir++) {
            if (lhs[il-1] == rhs[ir-1]) {
                C[il][ir] = C[il - 1][ir - 1] + 1;
            }else if(C[il - 1][ir] >= C[il][ir - 1]) {
                C[il][ir] = C[il-1][ir];
            }else{
                C[il][ir] = C[il][ir - 1];
            }
        }
    }
    return C[lnum][rnum];
}

int main() {
    int n;
    std::cin >> n;
    for (int i = 0; i < n; i++) {
        std::string l, r;
        std::cin >> l;
        std::cin >> r;
        std::cout << lcs(l, r) << std::endl;
    }
}

C++: #include <iostream>
#include <vector>
#include <string>
#include <cmath>
#include <set>
#include <algorithm>
#include <array>
#include <complex>
#include <utility>
#include <map>
#include <inttypes.h>

int LCS(std::string s,std::string t){
    int n,m,c[1001][1001]={0};
    n=s.size();
    m=t.size();
    int maxlen=0;
    for(int i=1;i<=n;i++){
        c[i][0]=0; 
    }
    for(int i=1;i<=m;i++){
        c[0][i]=0;
    }
    for(int i=1;i<=n;i++){
        for(int j=1;j<=m;j++){
            if(s[i]==t[j]){
                c[i][j]=c[i-1][j-1]+1;
            }else{
                c[i][j]=std::max(c[i-1][j],c[i][j-1]);
            }
            maxlen=std::max(c[i][j],maxlen);
        }
    }
    return maxlen;
}
int main(){
	int N;
    
    std::cin >> N;
    std::string s1,s2;
    for(int i=0;i<N;i++){
        std::cin >> s1 >> s2;
        std::cout << LCS(s1,s2) <<std::endl;
    }
        
    
    return 0;
}

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

const int s=1001;

using namespace std;

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);

	int q;
	static unsigned int dp[s][s] = {0};
	
	dp[0][0] = 0; dp[0][1] = 0; dp[1][0] = 0;

	cin >> q;
	for(int k=0; k < q; k++){
		string X,Y;
		cin >> X >> Y;
		int i,j;
		for(i=0;i<X.size();i++){
			for(j=0;j<Y.size();j++){
				if(X[i] == Y[j]) dp[i+1][j+1] = dp[i][j] + 1;
				else dp[i+1][j+1] = max(dp[i][j+1],dp[i+1][j]);
			}
		}
		cout << dp[i][j] << "\n";
	}
	return 0;
}