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 <bits/stdc++.h>
using namespace std;

static const int N = 1000;

int lcs(string X,string Y){
    int c[N+1][N+1];    //c[i][k]???Xi??¨Yk???LCS??¨??????????????????
    int m = X.size();
    int n = Y.size();
    int maxl = 0;
    X = ' ' + X; // X[0]?????????????????\
    Y = ' ' + Y;
    for(int i=1;i<=m;i++) c[i][0] = 0;
    for(int k=1;k<=n;k++) c[0][k] = 0;
    c[0][0] = 0;

    for(int i=1;i<=m;i++){
        for(int k=1;k<=n;k++){
            if(X[i]==Y[k]){
                c[i][k] = c[i-1][k-1] + 1;
            } else {
                c[i][k] = max(c[i-1][k],c[i][k-1]);
            }
            maxl = max(maxl,c[i][k]);
        }
    }

    return maxl;
}

int main(){
    
}

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

#define MAX 10000

using namespace std;

int n;
int LCS[MAX][MAX];

void solve(string a, string b){
    int m = a.size();
    int n = b.size();
    int maxl = 0;
    for(int i=0; i<m; i++){
        for(int j=0; j<n; j++){
            LCS[i][j] = 0;
        }
    }
    bool tmp_ok = false;
    for(int i=0; i<n; i++){
        if(a[0] == b[i] || tmp_ok){
            LCS[i][0] = 1;
            maxl = 1;
            tmp_ok = true;
        }
    }
    tmp_ok = false;
    for(int i=0; i<m; i++){
        if(a[i] == b[0] || tmp_ok){
            LCS[0][i] = 1;
            maxl = 1;
            tmp_ok = true;
        }
    }
    for(int i=1; i<n; i++){
        for(int j=1; j<m; j++){
            if(a[j] == b[i]){
                LCS[i][j] = LCS[i-1][j-1]+1;
            }
            else if(LCS[i-1][j]>=LCS[i][j-1]){
                LCS[i][j] = LCS[i-1][j];
            }
            else LCS[i][j] = LCS[i][j-1];
            maxl = max(maxl, LCS[i][j]);
        }
    }
    
    cout << maxl << endl;
}

int main(int argc, const char * argv[]) {
    // input from txt
    
    /////////
    //write//
    /////////
    
    cin >> n;
    for(int i=0; i<n; i++){
        string str_a;
        string str_b;
        cin >> str_a >> str_b;
        solve(str_a, str_b);
    }
    
    return 0;
}

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

int main(){
  int n;
  char x[1000],y[1000];
  int dp[1001][1001];
  //load n;
  cin >>n;
  for(int i=0;i<n;i++){
    scanf("%s",x);
    scanf("%s",y);
    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+1];
	  }


	}
      }
    }

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

  return 0;
}

C++: #include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
int n, xl, yl, dp[1003][1003]; char x[1003], y[1003];
int main() {
	scanf("%d", &n);
	for(int i = 0; i < n; i++) {
		scanf("%s", x); xl = strlen(x);
		scanf("%s", y); yl = strlen(y);
		memset(dp, 0, sizeof(dp));
		for(int i = 1; i <= xl; i++) {
			for(int j = 1; j <= yl; j++) {
				if(x[i - 1] == y[i - 1]) dp[i][j] = dp[i - 1][j - 1] + 1;
				else dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
			}
		}
		printf("%d\n", dp[xl][yl]);
	}
}

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

int lengthOfLcs_r(const char x[], const char y[], int ix, int iy, int xsize, int ysize) {
	if (ix == xsize || iy == ysize) {
		return 0;
	}
	if (x[ix] == y[iy]) {
		return lengthOfLcs_r(x, y, ix + 1, iy + 1, xsize, ysize) + 1;
	}
	return max(lengthOfLcs_r(x, y, ix, iy + 1, xsize, ysize), lengthOfLcs_r(x, y, ix + 1, iy, xsize, ysize));
}

int lengthOfLcs(string x, string y) {
	return lengthOfLcs_r(x.c_str(), y.c_str(), 0, 0, x.length(), y.length());
}

int main() {
	int q;
	string x, y;

	cin >> q;
	for (int i = 0; i < q; ++i) {
		cin >> x >> y;
		cout << lengthOfLcs(x, y) << endl;
	}
	return 0;
}

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

void fnInput(vector<string>& rvsStrX, vector<string>& rvsStrY)
{
  int nMaxSiz;
  cin >> nMaxSiz;
  rvsStrX.resize(nMaxSiz);
  rvsStrY.resize(nMaxSiz);

  for (int i = 0; i < nMaxSiz; ++i)
  {
    cin >> rvsStrX[i] >> rvsStrY[i];
    rvsStrX[i] = ' ' + rvsStrX[i];
    rvsStrY[i] = ' ' + rvsStrY[i];
  }
}

int fnLngCmnSubseq(const vector<string>& cnrvsStrX, const vector<string>& cnrvsStrY)
{
  for (int i = 0; i < cnrvsStrX.size(); ++i)
  {
    const int nMAXNX = cnrvsStrX[i].size();
    const int nMAXNY = cnrvsStrY[i].size();
    vector<vector<int>> vvnLcsDP(nMAXNX, vector<int>(nMAXNY, 0));

    for (int nx = 1; nx < nMAXNX; ++nx)
      for (int ny = 1; ny < nMAXNY; ++ny)
        if (cnrvsStrX[i][nx] == cnrvsStrY[i][ny])
          vvnLcsDP[nx][ny] = vvnLcsDP[nx - 1][ny - 1] + 1;
        else
          vvnLcsDP[nx][ny] = max(vvnLcsDP[nx - 1][ny], vvnLcsDP[nx][ny - 1]);

    cout << vvnLcsDP[nMAXNX - 1][nMAXNY - 1] << endl;
  }
}

int main()
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  vector<string> vsStrX, vsStrY;

  fnInput(vsStrX, vsStrY);
  fnLngCmnSubseq(vsStrX, vsStrY);
  return 0;
}