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<iostream>
#include<vector>
#include<algorithm>
using namespace std;
typedef long long ll;

template<class T> inline void chmax(T& a, T b) { if (a < b) a = b; }
template<class T> inline void chmin(T& a, T b) { if (a > b) a = b; }


namespace Lcs
{

	int exec()
	{
		string S, T; cin >> S >> T;
		vector<vector<int>> dp(S.size() + 1, vector<int>(T.size() + 1, 0));
		for (int s = 0; s < S.size(); ++s) {
			for (int t = 0; t < T.size(); ++t) {
				if (S[s] == T[t]) dp[s + 1][t + 1] = dp[s][t] + 1;
				chmax(dp[s + 1][t + 1], dp[s + 1][t]);
				chmax(dp[s + 1][t + 1], dp[s][t + 1]);
			}
		}
		return dp[S.size()][T.size()];
	}
}

int main()
{
	int Q; cin >> Q;
	vector<int> anss(Q);
	for (int i = 0; i < Q; ++i) {
		anss[i] = Lcs::exec();
	}
	for (int i = 0; i < Q; ++i) {
		cout << anss[i] << endl;;
	}
}

C++: #if 0

#endif

#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;

int Q;
int L[1000+10][1000+10];

int main() {
  cin >> Q;
  string X, Y;
  for (int i = 0; i < Q; i++) {
    for (int j = 0; j < 1000+10; j++) {
      L[0][j] = 0; L[j][0] = 0;
    }
    cin >> X >> Y;
    for (int x = 1; x <= X.length(); x++) {
      for (int y = 1; y <= Y.length(); y++) {
        if (X[x-1] == Y[y-1])
          L[x][y] = L[x-1][y-1]+1;
        else
          L[x][y] = max(L[x-1][y], L[x][y-1]);
      }
    }

    cout << L[X.length()][Y.length()] << endl;
  }
}

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

using namespace std;
int main(int argc, const char * argv[]) {
    int q, i, m, n, sl1, sl2;
    cin >> q;
    vector<string> strlist;
    string str, str1, str2;
    for(i = 0;i < q;i++){
        cin >> str;
        strlist.push_back(str);
        cin >> str;
        strlist.push_back(str);
    }
    
    //start
    for(i = 0;i < q*2;i += 2){
        str1 = strlist[i];
        sl1 = str1.length();
        str2 = strlist[i+1];
        sl2 = str2.length();
        int dp[sl1+1][sl2+1];
        for(m = 0;m <= sl2;m++){
            dp[0][m] = 0;
        }
        for(m = 0;m <= sl1;m++){
            dp[m][0] = 0;
        }
        for(m = 1;m <= sl1;m++){
            for(n = 1;n <= sl2;n++){
                if(str1[m] == str2[n]){
                    dp[m][n] = dp[m-1][n-1] + 1;
                }else{
                    dp[m][n] = max(dp[m-1][n], dp[m][n-1]);
                }
            }
        }
        m = sl1;
        n = sl2;
        printf("%d\n", dp[m][n]);
        
    }
    return 0;
}

C++: #include <math.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <sstream>
#include <vector>

using namespace std;
using Graph = vector<vector<int>>;

using ll = long long;
typedef pair<ll, ll> P_ll;
typedef pair<int, int> P;

const ll INF_ll = 1e17;
const int INF = 1e8;

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

  return 0;
}

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[n+1][m+1];
    n=s.size();
    m=t.size();
    int maxlen=0;
    for(int i=0;i<=n;i++){
        c[i][0]=0; 
    }
    for(int i=0;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[i]){
                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<string>
#include<algorithm>
using namespace std;
#define maxn 1001

int lac(string x, string y) {
	int c[maxn][maxn];
	int m = x.size();
	int n = y.size();
	int maxl = 0;
	x = ' ' + x;
	y = ' ' + y;

	for (int i = 0; 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()
{
	int n;
	cin >> n;
	string x, y;
	for (int i = 0; i < n; i++) {
		cin >> x;
		cin >> y;
		cout << lac(x, y) << endl;
	}
	return 0;
}

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

int main() {
	int q;
	std::cin >> q;
	
	for (int i = 0; i < q; i++) {
		std::string s1, s2;
		std::cin >> s1 >> s2;
		std::vector<int> ref(s2.size(), 0);
		for (int j = 0; j < s1.size(); j++) {
			std::vector<int> vec = ref;
			for (int k = 0; k < s2.size(); k++) {
				if (s1[j] == s2[k]) {
					int al = k == 0 ? 0 : ref[k - 1];
					int a = ref[k];
					vec[k] = std::max(al + 1, a);
				}
				else {
					int l = k == 0 ? ref[0] : vec[k - 1];
					int a = ref[k];
					vec[k] = std::max(l, a);
				}
			}
			ref = vec;
		}
		std::cout << ref[s2.size() - 1] << std::endl;
	}
}

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

int main(){
  int n;
  char x[1001],y[1001];
  int dp[1010][1010];
  //load n;
  cin >>n;
  for(int i=0;i<n;i++){
    //load string
    scanf("%s",x);
    scanf("%s",y);
    //dp
    for(int j=0;j<strlen(x);j++){
      for(int k=0;k<strlen(y);k++){
	if(x[j]==y[k]){
	  dp[j+1][k+1]=dp[j][k]+1;
	}

	else{
	  if(dp[j][k+1]>dp[j+1][k]){
	    dp[j+1][k+1]=dp[j][k+1];
	  }

	  else{
	    dp[j+1][k+1]=dp[j+1][k];
	  }


	}
      }
    }
    cout <<dp[strlen(x)][strlen(y)]<<endl;
  }



  return 0;
}