Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

type Position struct {
	X int
	Y int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}
	for i := 0; i < n; i++ {
		strX := nextText(sc)
		strY := nextText(sc)
		fmt.Println(calcLcs(strX, strY))
	}
}

func calcLcs(strX, strY string) int {
	return lcs(strX, strY, Position{0, 0}, make(map[Position]int))
}

func lcs(strX string, strY string, position Position, memo map[Position]int) int {
	if position.X >= len(strX) || position.Y >= len(strY) {
		return 0
	}
	if v, ok := memo[position]; ok {
		return v
	}
	if strX[position.X] == strY[position.Y] {
		result := lcs(strX, strY, Position{position.X + 1, position.Y + 1}, memo)
		memo[position] = result + 1
		return memo[position]
	} else {
		result1 := lcs(strX, strY, Position{position.X + 1, position.Y}, memo)
		result2 := lcs(strX, strY, Position{position.X, position.Y + 1}, memo)
		var result int
		if result1 > result2 {
			result = result1
		} else {
			result = result2
		}
		memo[position] = result
		return result
	}
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

func nextText(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

C++: #include <bits/stdc++.h>
//----***やべーやつら***----
using namespace std;
#define int long long

//----***型定義***----
using ll = long long;
using P = pair<int,int>;

//----***Like a Pythonista***----
#define REP(ii,jj,nn) for (ll ii=jj;ii<(nn);ii++)
#define RREP(ii,nn,jj) for (ll ii = nn; jj<ii;ii--)
#define each(i,...) for (auto&& i:__VA_ARGS__)
#define ALL(vec) (vec).begin(),(vec).end()
#define sum(...) accumulate(ALL(__VA_ARGS__),0LL)
#define dsum(...) accumulate(ALL(__VA_ARGS__),0.0)
#define vec(type,name,...) vector<type> name(__VA_ARGS__)
template<class T> inline auto max(const T& a){ return *max_element(ALL(a)); }
template<class T> inline auto min(const T& a){ return *min_element(ALL(a)); }
inline ll gcd(ll a,ll b){if(b == 0) return a;return  gcd(b,a%b);}
inline ll lcm(ll a,ll b){ll g = gcd(a,b);return a / g * b;}

//----***定数***----
#define MOD 1000000007
#define INF 100000000000000000
#define EPS 1e-9
const vector<vector<int>> DXY={{-1,0},{1,0},{0,-1},{0,1}};

//----***パーツ***----
#define fr first
#define se second

//----***入出力***---
#define print(out) cout<< out  << "\n";
#define debug(var)  do{std::cerr << #var << " ↓ "<<"\n";view(var);}while(0);
#define dbg cerr<<"🥺🥺🥺🥺🥺🥺"<<endl;
template<typename T> void view(T e){std::cout << e << std::endl;}
template<typename T> void view(const std::vector<T>& v){for(const auto& e : v){ std::cout << e << " "; } std::cout << std::endl;}
template<typename T> void view(const std::vector<std::vector<T> >& vv){ for(const auto& v : vv){ view(v); } }

//----***初期時読み込み***----
struct initial{initial(){cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(15);};}initial_;

vector<vector<int>>dp(30,vector<int>(50010,0));

signed main(){
  int N;cin>>N;
  vector<int> ans;
  REP(i,0,N){
    string S,T;cin>>S>>T;
    int s_size=S.size(),t_size=T.size();
    vector<vector<int>> dp(t_size+2,vector<int>(s_size+2));
    REP(i,1,t_size+1)REP(j,1,s_size+1){
      if(S.at(j-1)==T.at(i-1)){
        dp[i][j]=max(dp[i-1][j-1]+1,dp[i-1][j]);
      }
      else{
        dp[i][j]=max(dp[i][j-1],dp[i-1][j]);
      }
    }
    // debug(dp)
    ans.push_back(dp[t_size][s_size]);
  }
  each(a,ans){
    print(a)
  }

}

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

static const int N = 1000;
using namespace std;

int LCS(string X,string Y){
  int m,n;
  
  m = X.size();
  n = Y.size();
  
  int dp[N + 1][N + 1] = {0};
  
  X = ' ' + X;
  Y = ' ' + Y;

  for(int i = 1;i <= m;i++){
    for(int j = 1;j <= n;j++){
      if(X[i] == Y[j]){
	dp[i][j] = dp[i - 1][j - 1] + 1;
      }else{
	dp[i][j] = max(dp[i - 1][j],dp[i][j - 1]);
      }
    }
  }
  
  /*for(int i = 0;i < ax;i++){
    for(int j = 0;j < ay;j++){
      cout << dp[i][j] << " ";
    }
    cout << '\n';
    }*/
  
  return dp[m][n];
}

int main(){
  int q;
  string X,Y;
  
  cin >> q;
  
  for(int i = 0;i < q;i++){
    cin >> X >> Y;
    //cout << X.size() << " " << Y.size() << '\n';
    cout << LCS(X,Y) << '\n';
  }
  
  return 0;
}

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

int solve(std::string &x, std::string &y){
    int c[1001][1001] = {};
    int m = x.length();
    int n = y.length();

    //for(int i = 1; i <= m; ++i) c[i][0] = 0;                                                                                                                                                                                      
    //for(int i = 1; i <= n; ++i) c[0][i] = 0;                                                                                                                                                                                      
    int maxval = 0;
    x = ' ' + x;
    y = ' ' + 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] = std::max(c[i][j - 1], c[i - 1][j]);
            }
            maxval = std::max(maxval, c[i][j]);
        }
    }
    return maxval;
}

int main(){
    int q;
    std::cin >> q;
    for(int i = 0; i < q; ++i){
        std::string x;
        std::string y;
        std::cin >> x;
        std::cin >> y;
        int res = solve(x, y);
        std::cout << res << "\n";
    }
    return 0;
}

C++: #include <bits/stdc++.h>
 
using namespace std;
typedef long long ll;
typedef vector<ll> vl ;
typedef pair<ll,ll> pl;
 
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define rep(i,N) for(int i=0; i < (int)N; i++)
#define all(v) (v).begin(),(v).end()
#define max(a,b) (a>b ? a : b)
#define min(a,b) (a<b ? a : b)
 
const int MOD = 998244353;
const int INF = 1000002;
const double PI =4*atan(1);
const double eps = 1e-7;
const long long oo = 1e18;

int resolve(string S, string T){
  int s = (int)S.size(), t = (int)T.size();
  vector<vector<int>> dp(s+1, vector<int>(t+1, 0));

  for(int i=0; i<s; i++){
    for(int j=0; j<t; j++){
      if(S[i]==T[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]);
    }
  }
  return dp[s][t];
}

int main(){
  int N;
  cin >> N;
  rep(i,N){
    string S, T;
    cin >> S >> T;
    cout << resolve(S, T) << endl;
  }
}

C++: #include<iostream>
#include<string>
#include<cstring>
#include<cstdlib>
#define MAX_N 1000

int solve(std::string s,std::string t){
        int dp[MAX_N][MAX_N]={0};
        int n,m;
        n=s.size(),m=t.size();
        for(int i=0;i<n;i++){
                for(int j=0;j<m;j++){
                        if(s[i]==t[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]);
                }
        }
        return dp[n][m];
}

int main(){
        int q;
        std::cin>>q;
        for(int i=0;i<q;i++){
                std::string s,t;
                std::cin >> s>>t;
                std::cout<<solve(s,t)<<std::endl;
        }
        return 0;
}