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 <stdio.h>
#include <cstring>
#include <math.h>
#include <algorithm>
#include <vector>
#include <string>
#include <stdlib.h>
#include <queue>
#include <stack>
#include <utility>
#include <fstream>
#include <random>
#include <map>
#include <unordered_map>
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define ll long long
#define INF 1000000001
#define mod 1000000007
#define p pair<int,int>
int dx[4]={0,1,0,-1};
int dy[4]={1,0,-1,0};
using namespace std;
int POW(int x,int y){return int(pow(double(x),double(y)));}



int main(){
	int q;
	cin>>q;
	vector<string> s0(q),t0(q);
	rep(i,q){
		cin>>s0[i]>>t0[i];
	}
	rep(i,q){

	string s,t;
	s=s0[i];
	t=t0[i];
	vector<vector<int>> a(s.size());
	rep(i,s.size()){
		a[i].resize(t.size());
		rep(j,t.size()){
			if(i==0 && j==0){
				if(s[0]==t[0]) a[0][0]=1;
				else a[0][0]=0;
			}else if(j==0){
				if(s[i]==t[0]) a[i][0]=1;
				else a[i][0]=a[i-1][0];
			}else if(i==0){
				if(s[0]==t[j]) a[0][j]=1;
				else a[0][j]=a[0][j-1];
			}else{
				if(s[i]==t[j]) a[i][j]=a[i-1][j-1]+1;
				else a[i][j]=max(a[i][j-1],a[i-1][j]);
			}
		}
	}
	cout<<a[s.size()-1][t.size()-1]<<endl;
	}
}

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

int main(void){
    int q; cin >> q;
    int dp[1001][1001];
    for(int i = 0; i < 1001; i++) dp[0][i] = dp[i][0] = 0;

    for(int i = 0; i < q; i++){
        string a, b; cin >> a >> b;
        int len_a = (int)a.size(), len_b = (int)b.size();
        for(int j = 1; j <= len_a; j++){
            for(int k = 1; k <= len_b; k++){
                if(a[j-1]==b[k-1]) dp[j][k] = dp[j-1][k-1] + 1;
                else dp[j][k] = max(dp[j-1][k], dp[j][k-1]);
                // cout << "(j, k) = " << j << ", " << k << ": dp = " << dp[j][k] << '\n';
            }
        }

        cout << dp[len_a][len_b] << '\n';
    }

    return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
#define N 1050
int lc(string x,string y){
  int c[N+1][N+1];
  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;
  while(n--){
    string s,v;cin>>s>>v;
    cout<<lc(s,v)<<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;
  Y=' '+Y;
  for(int i=0;i<=m;i++)
        c[i][0]=0;
  for(int j=0;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<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;
  Y=' '+Y;
  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++: // https://onlinejudge.u-aizu.ac.jp/status/users/uzi7215/submissions/1/ALDS1_10_C/judge/3551530/Python3
#include <iostream>
#include <vector>

int main(){
  int q;
  std::cin >> q;
  std::vector<std::string> x_list, y_list;
  for( int i=0; i<q; i++ ){
    std::string input;
    std::cin >> input;
    x_list.push_back( input );
    std::cin >> input;
    y_list.push_back( input );
  }

  for( int k=0; k<q; k++ ){
    std::string x = x_list[k];
    int m = x.size() + 1;
    std::string y = y_list[k];
    int n = y.size() + 1;
    std::vector< std::vector<int> > c(m, std::vector<int>(n, 0));

	int i, j;
    for( i=1; i<m; i++ ){
      for( j=1; j<n; j++ ){
      	if( i==0 or j==0){
      		c[i][j] = 0;
		}else if( x[i-1] == y[j-1] ){
          c[i][j] = c[i-1][j-1] + 1;
        }else{
          c[i][j] = std::max( c[i-1][j], c[i][j-1] );
        } 
      }
    }
    std::cout << c[m-1][n-1] << std::endl;
  }
}

C++: #include<iostream>
#include<string>
#include<algorithm>
using namespase 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;
    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() {
    string s1, s2;
    int n; cin >> n;
    for ( i = 0; i < n; i++ ){
        cin >> s1 >> s2;
        cout << lcs(s1, s2) << sndl;
    }
    
    return 0;
    
}

C++: #include <iostream>
#include <string>
#include <map>
#include <set>
#include <algorithm>
using namespace std;
#define MAX 100000

static const int N =100;

int lcs(string X,string Y){
  int c[N+1][N+1];
  int m=X.size();
  int n=Y.size();
  int ans=0;
  X= ' '+X;
  Y= ' '+Y;
  for(int i;i<=m;i++)c[i][0]=0;
  for(int j;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]);
      }
      ans=max(ans,c[i][j]);
    }
  
  }
  return ans;
}

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;
}