Go: package main

/*
最長共通部分列
*/

import (
	"bufio"
	"bytes"
	"fmt"
	"log"
	"os"
	"strconv"
	"strings"
)

func larger(l, r int) int {
	if l > r {
		return l
	}
	return r
}

var memo [1001][1001]int

func countLCS(x, y string) int {
	x = " " + x
	y = " " + y
	max := 0
	for xi := 1; xi < len(x); xi++ {
		for yi := 1; yi < len(y); yi++ {
			if x[xi] == y[yi] {
				memo[xi][yi] = memo[xi-1][yi-1] + 1
			} else {
				memo[xi][yi] = larger(memo[xi-1][yi], memo[xi][yi-1])
			}
			max = larger(max, memo[xi][yi])
		}
	}
	return max
}

func main() {
	scanner := makeScanner(1024)
	q := eGetInt(scanner)
	for i := 0; i < q; i++ {
		x := eGetLine(scanner)
		y := eGetLine(scanner)
		fmt.Println(countLCS(x, y))
	}
}

////////////////////////////////////////////////////////////////////////////////
// ライブラリ
////////////////////////////////////////////////////////////////////////////////
func makeScanner(maxByte int) *bufio.Scanner {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Buffer(make([]uint8, 0, 8192), maxByte)
	return scanner
}
func makeWordScanner() *bufio.Scanner {
	scanner := makeScanner(8192)
	scanner.Split(bufio.ScanWords)
	return scanner
}
func eGetLine(r *bufio.Scanner) string {
	if r.Scan() {
		return r.Text()
	}
	err := r.Err()
	if err != nil {
		log.Fatal(err)
	}
	// EOF
	return ""
}
func eGetInt(r *bufio.Scanner) int {
	line := eGetLine(r)
	return eAtoi(line)
}
func eGetFields(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Fields(line)
}
func eGetInts(r *bufio.Scanner) []int {
	fields := eGetFields(r)
	ints := make([]int, len(fields))
	for i := 0; i < len(ints); i++ {
		ints[i] = eAtoi(fields[i])
	}
	return ints
}
func eGetChars(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Split(line, "")
}
func eAtoi(s string) int {
	n, err := strconv.Atoi(s)
	if err != nil {
		log.Fatal(err)
	}
	return n
}

type ints []int

func (s ints) String() string {
	var buf bytes.Buffer
	buf.WriteString("[")
	sep := ""
	for _, v := range s {
		buf.WriteString(fmt.Sprintf("%s%d", sep, v))
		sep = ", "
	}
	buf.WriteString("]")
	return buf.String()
}

func reverse(a ints) ints {
	r := make(ints, len(a))
	for i := 0; i < len(a); i++ {
		r[i] = a[len(a)-1-i]
	}
	return r
}
func max(a ints) (int, bool) {
	if len(a) == 0 {
		return 0, false
	}
	m := a[0]
	for _, e := range a {
		if e > m {
			m = e
		}
	}
	return m, true
}
func min(a []int) int {
	m := a[0]
	for _, v := range a {
		if v < m {
			m = v
		}
	}
	return m
}

func sum(a ints) int {
	if len(a) == 0 {
		return 0
	}
	sum := 0
	for _, e := range a {
		sum += e
	}
	return sum
}
func find(n int, a ints) int {
	for i, v := range a {
		if n == v {
			return i
		}
	}
	return -1
}

C++: #include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <numeric>
#include <stack>
#include <queue>
#include <deque>
#include <iomanip>
#include <string>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <tuple>
#include <bitset>

/*----------------------------------------------------------------*/

using ld = long double;
using vld = std::vector<ld>;
using ll = long long;
using vll = std::vector<ll>;
using vvll = std::vector<vll>;
using str = std::string;
using vstr = std::vector<str>;
using vb = std::vector<bool>;
using vvb = std::vector<vb>;

/*----------------------------------------------------------------*/

template<typename T> bool chmin(T a, T &b) { return a < b ? b = a, true : false; }
template<typename T> bool chmax(T a, T &b) { return a > b ? b = a, true : false; }
template<typename T> T sqr(T a) { return a * a; }

/*----------------------------------------------------------------*/

constexpr ld PI = 3.141592653589793L;
constexpr ld EPS = std::numeric_limits<ld>::epsilon();

/*----------------------------------------------------------------*/

ll gcd(ll n, ll m) { return m != 0 ? gcd(m, n % m) : n; }
ll lcm(ll n, ll m) { return n / gcd(n, m) * m; }
bool is_prime(ll n) {
    if (n == 1) return false;
    for (ll i = 2; sqr(i) <= n; i++)
        if (n % i == 0) return false;
    return true;
}
ll popcnt(ll n) {
    n = ((n & 0xaaaaaaaaaaaaaaaa) >> 1) + (n & 0x5555555555555555);
    n = ((n & 0xcccccccccccccccc) >> 2) + (n & 0x3333333333333333);
    n = ((n & 0xf0f0f0f0f0f0f0f0) >> 4) + (n & 0x0f0f0f0f0f0f0f0f);
    n = ((n & 0xff00ff00ff00ff00) >> 8) + (n & 0x00ff00ff00ff00ff);
    n = ((n & 0xffff0000ffff0000) >> 16) + (n & 0x0000ffff0000ffff);
    n = ((n & 0xffffffff00000000) >> 32) + (n & 0x00000000ffffffff);
    return n;
}

/*----------------------------------------------------------------*/

void solve();

/*----------------------------------------------------------------*/

int main() {
    std::cin.tie(0);
    std::ios::sync_with_stdio(false);
    std::cout << std::setprecision(15);

    solve();
}

void solve() {
    ll q; std::cin >> q;

    for (ll i = 0; i < q; i++) {
        str x, y; std::cin >> x >> y;
        ll x_len = x.length(), y_len = y.length();
        vvll dp(x_len + 1, vll(y_len + 1, 0));
        for (ll i = 1; i <= x_len; i++) for (ll j = 1; j <= y_len; j++)
            if (x[i - 1] == y[j - 1])
                dp[i][j] = dp[i - 1][j - 1] + 1;
            else
                dp[i][j] = std::max(dp[i - 1][j], dp[i][j - 1]);
        std::cout << dp[x_len][y_len] << '\n';
    }
}

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

int lcs(string &X, string &Y)
{
	static int Z[1001][1001];
	int m = X.size();
	int n = Y.size();
	int i, j;

	for (i = 1; i <= m; i++) {
		for (j = 1; j <= n; j++) {
			if (X[i - 1] == Y[j - 1])
				Z[i][j] = Z[i - 1][j - 1] + 1;
			else
				Z[i][j] = max(Z[i - 1][j], Z[i][j - 1]);
		}
	}
	return Z[m][n];
}

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

	string X, Y;
	int q;
	scanf("%d", &q);
	for (int i = 0; i < q; i++) {
		cin >> X >> Y;
		cout << lcs(X, Y) << endl;
	}
	return 0;
}

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

int main(){
  int n;
  char x[1001],y[1001];
  int dp[1002][1002];
  


  //load n;
  cin >>n;
  for(int i=0;i<n;i++){
    //initialize
    for(int i=0;i<1002;i++){
      for(int j=0;j<1002;j++){
	dp[i][j]=0; 
      }
    }
    //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];
	  }
	}
      }
    }

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



  return 0;
}

C++: #include <stdio.h>
#include <string>
#include <iostream>
#include <algorithm>

using namespace std;

//I can't understand,so I imitated yutaka watabe's book.
//I think this problem has 5 star rank difficulty.

void calc(char X[],char Y[]){
	int X_length=0,Y_length=0;
	int** table = new int*[1001];
	for(int i = 0; i < 1001; i++){
		table[i] = new int[1001];
		for(int k = 0; k < 1001; k++)table[i][k] = 0;
	}
	for(int i = 0; X[i] != '\0'; i++)X_length++;
	for(int i = 0; Y[i] != '\0'; i++)Y_length++;
	int max_succeed = 0;
	for(int i = 0; i < X_length; i++){
		for(int k = 0; k < Y_length; k++){
			if(X[i] == Y[k]){
				table[i+1][k+1] = table[i][k] + 1;
			}else{
				table[i+1][k+1] = max(table[i+1][k],table[i][k+1]);
			}
			max_succeed = max(max_succeed,table[i+1][k+1]);
		}
	}
	printf("%d\n",max_succeed);
}

int main(){
	int q;
	char X[1001],Y[1001];
	scanf("%d",&q);
	for(int i=0;i<q;i++){
		scanf("%s %s",X,Y);
		calc(X,Y);
	}
    return 0;
}