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 <algorithm>
#include <string>
using namespace std;

static const int N = 1000;

int lcs(string X, string Y){
	int dp[N + 1][N + 1];
	int h = X.size();
	int w = Y.size();
	
	for(int i=0; i<h; i++){
		for(int j=0; j<w; j++){
			if(X[i]==Y[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[h][w];
}



int main(void){

	int n;
	string s1, s2;
	cin >> n;
	for(int i=0; i<n; i++){
		cin >> s1 >> s2;
		cout << lcs(s1, s2) << endl;
	}
	return 0;
}

C++: #define _USE_MATH_DEFINES
#include <iostream>
#include <fstream>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <string>
#include <vector>
#include <utility>
#include <complex>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <deque>
#include <tuple>
#include <bitset>
#include <limits>
#include <algorithm>
#include <array>
#include <random>
#include <complex>
#include <regex>
#include <iomanip>
using namespace std;
typedef long double ld;
typedef long long ll;
typedef vector<int> vint;
typedef vector<ll> vll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fcout cout << fixed << setprecision(10)
#define rep(i,n)    for(int i=0; i<(int)n; i++)
#define mp(a,b) make_pair(a,b)
#define pb push_back
#define all(x) x.begin(), x.end()
const ll inf = 1e18;
const ll mod = 1e9 + 7;

int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};

int dp[1010][1010] = {0};

int lcs(string x, string y){
    int n = x.size();
    int m = y.size();
    int ans = 0;
    for(int i=1; i<n+1; i++){
        for(int j=1; j<m+1; j++){
            if(y[j-1] == x[i-1]) dp[i][j] = dp[i-1][j-1] + 1;
            else dp[i][j] = max(dp[i][j-1], dp[i-1][j]);
            ans = max(ans, dp[i][j]);
        }
    }
    return ans;

}

int main(){
    int q;
    cin >> q;
    rep(i, q){
        string x,y;
        cin >> x >> y;
        cout << lcs(x,y) << endl;
    }
}

C++: #include<iostream>
#include<cstring>
#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(),n = y.size();
    int maxl = 0;
    x = " " + x;
    y = " " + y;
    for(int i = 0;i <= m;i++){
        c[0][i] = 0;
    }
    for(int j = 1;j <= n;j++){
        c[j][0] = 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>
using namespace std;

int null = -1;
int n;
int ans;
string x,y;
int dp[1001][1001];

int dfs(int i, int j){
    if(dp[i][j] != null){
        return dp[i][j];
    }
    int res;
    if(i == 0 || j == 0){
        return 0;
    }
    
    if(x[i-1] == y[j-1]){
        res = max(dfs(i,j-1),max(dfs(i-1,j-1)+1,dfs(i-1,j)));
    }
    else{
        res = max(dfs(i,j-1),dfs(i-1,j));
    }
    dp[i][j] = res;
    return res;
}

int main(){
    for(int i=0;i<1001;i++){
        for(int j=0;j<1001;j++){
            dp[i][j] = null;
        }
    }

    cin >> n;
    for(int i=0;i<n;i++){
        cin >> x;
        cin >> y;
        int lenx = (int)x.length();
        int leny = (int)y.length();
        //cout << lenx << " " << leny << endl;
        ans = dfs(lenx,leny);
        cout << ans << endl;
        for(int j=0;j<1001;j++){
            for(int k=0;k<1001;k++){
                dp[j][k] = null;
            }
        }
    }
    return 0;

}

C++: #include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(ri,n) for(int ri = (int)(n-1); ri >= 0; ri--)
#define rep2(i,x,n) for(int i = (int)(x); i < (int)(n); i++)
#define repit(itr,x) for(auto itr = x.begin(); itr != x.end(); itr++)
#define rrepit(ritr,x) for(auto ritr = x.rbegin(); ritr != x.rend(); ritr++)
#define ALL(n) begin(n), end(n)
using ll = long long;
using namespace std;

int main(){
  int q;
  cin >> q;
  rep(i, q){
    string a, b;
    cin >> a >> b;
    vector<vector<int>> dp(b.size()+1, vector<int>(a.size()+1));
    rep(i, b.size()+1){
      rep(j, a.size()+1){
        if(i == 0 || j == 0){
          dp.at(i).at(j) = 0;
          continue;
        }
        if(a.at(j-1) == b.at(i-1)) dp.at(i).at(j) = dp.at(i-1).at(j-1) + 1;
        else dp.at(i).at(j) = max(dp.at(i-1).at(j), dp.at(i).at(j-1));
      }
    }
    cout << dp.at(b.size()).at(a.size()) << endl;
  }
  return 0;
}

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

int main()
{
	int n;
	string a, b;

	while (n--)
	{
		int memo1[1005] = {};
		int memo2[1005] = {};
		cin >> a >> b;

		for (int i = 1; i <= a.size(); i++)
		{
			memo2[0] = 0;
			for (int j = 1; j <= b.size(); j++)
			{
				if (a[i] == b[j])
					memo2[j] = max({ memo2[j - 1], memo1[j], memo1[j - 1] + 1 });
				else
					memo2[j] = max(memo2[j - 1], memo1[j]);
			}
			swap(memo1, memo2);
		}

		cout << memo1[b.size()] << endl;
	}

	return 0;
}