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 <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;
		int ans=lcs(s1,s2);
		if(ans<=20)cout<<ans<<endl;
		else cout<<"20"<<endl;
	}
	return 0;
}

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

using namespace std;

short dp[1010][1010];

int main(void)
{
    int q;
    cin >> q;
    while (q)
    {
        string X, Y;
        cin >> X >> Y;
        int Xs = X.size(), Ys = Y.size();
        for (int i = 0; i < Xs; i++) dp[i][0] = 0;
        for (int j = 0; j < Ys; j++) dp[0][j] = 0;
        for (int i = 0; i < Xs; i++)
        {
            for (int j = 0; j < Ys; j++)
                dp[i + 1][j + 1] = ((X[i] == Y[j]) ? dp[i][j] + 1 : max(dp[i + 1][j], dp[i][j + 1]));
        }
        cout << dp[Xs][Ys] << endl;
        q--;
    }
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <string>
#include <cstring>
using namespace std;
int lcs(string x,string y){
	int c[x.size()+1][y.size()+1];	memset(c,0,sizeof(c));
	int m=x.size(),n=y.size();
	int mxvl=0;
	x+=" ";	y+=" ";
	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][j-1],c[i-1][j]);
			mxvl=max(mxvl,c[i][j]);
		}
	}
	return mxvl;
}

int main(){
	string x,y;
	int n;	cin>>n;
	for(int i=0;i<n;i++){
		cin>>x>>y;
		cout<<lcs(x,y)<<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++: #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;

static const int N = 1000;

int lcs (string x, string y) {
    int m = x.size();
    int n = y.size();
    int maxl = 0;
    int c[N + 1][N + 1] ;
    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 str1, str2;
    for (int i = 0; i < n; i++) {
        cin>>str1>>str2;
    
        cout << lcs(str1, str2) <<endl;
    }
    
    
    
    return 0;
}

C++: #include <iostream>
#include <cstring>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <map>
#include <cmath>
#include <queue>
#include <utility>
#include <functional>
#include <deque>
#include <cctype>
#include <stack>
#include <bitset>

using ll = long long;
typedef unsigned long long ull;
typedef std::pair<ll, ll>P;

ll gcd(ll a, ll b) {
	if (b == 0) return a;
	return gcd(b, a%b);
}
ll lcm(ll a, ll b) {
	ll g = gcd(a, b);
	return a / g * b;
}

const ll mod = 1000000007;
const ll INF = 1 << 30;
const ll INF2 = 9000000000000000000LL;
bool fl = true;
int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 };
std::string abc = "abcdefghijklmnopqrstuvwxyz";
struct edge { ll to, cost; };
struct edge1 { ll from, to, cost; };
double pai = 3.141592653589793;

int main() {
	int q;
	std::cin >> q;
	for (int i = 0;i < q;i++) {
		std::string s, t;
		std::cin >> s >> t;
		int dp[1010][1010];
		for (int j = 0;j < s.size();j++) {
			for (int k = 0;k < t.size();k++) {
				if (s[j] == t[k])dp[j + 1][k + 1] = dp[j][k] + 1;
				else dp[j + 1][k + 1] = std::max(dp[j][k + 1], dp[j + 1][k]);
			}
		}
		std::cout << dp[s.size()][t.size()] << std::endl;
	}
}

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

int N;
string seq1,seq2;

int S_search(int a, int b){
	if (a<=0 || b<=0){
		return 0;
	}else if (seq1[a-1] == seq2[b-1]){
		return S_search(a-1,b-1)+1;
	}else{
		return max(S_search(a-1, b),S_search(a, b-1));
	}
}

int main() {
	cin >> N;
	for (int M=0; M<N; M++){
		cin >> seq1 >> seq2;
		cout << S_search(seq1.length(), seq2.length()) << endl;
	}
	
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <string>
#define rep(i, n) for(int i = 0; i < n; i++)
using namespace std;

int main(){
  int q;
  cin >> q;
  string x, y;
  rep(_, q){
    cin >> x >> y;
    int n = x.size();
    int m = y.size();
    vector<vector<int>> dp(n+1, vector<int>(m+1, 0));
    rep(i, n)rep(j, m){
      if (x[i] == y[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]);
      dp[i+1][j+1] = max(dp[i+1][j+1], dp[i][j+1]);
    }
    cout << dp[n][m] << endl;
  }
  
  return 0;
}