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<cstdio>
#include<cmath>
#include<string>
#include<algorithm>

using namespace std;

int main() {
	int n;	
	int c[1001][1001];
	string str1, str2;

	cin >> n;

	for (int k = 0; k < n; k++) {
		int Max = 0;
		cin >> str1 >> str2;
		
		int m = str1.size();
		int n = str2.size();


		str1 = ' ' + str1;
		str2 = ' ' + str2;

		//cout << str1 << str2 << endl;


		for (int i = 0; i <= m; i++) {
			for (int j = 0; j <= n; j++) {
				if (i == 0 || j == 0) c[i][j] = 0;
				else if (str1[i] == str2[j]) c[i][j] = c[i - 1][j - 1] + 1;
				else c[i][j] = max(c[i][j - 1], c[i - 1][j]);

				Max = max(Max, c[i][j]);

				//cout << c[i][j] << " ";

			}

			//cout << endl;

		}

		cout << Max << endl;
	}

	return 0;

}

C++: #include <iostream>
#include <vector>
#include <utility>
#include <string>
#include <algorithm>
#include <math.h>
using namespace std;
typedef long long ll;

int dp[1010][1010];
string x, y;

int solve(int a, int b) {
    if (dp[a][b] >= 0) {
        return dp[a][b];
    }
    
    if (a * b == 0) {
        dp[a][b] = 0;
        return 0;
    }
    
    if (char(x[a - 1]) == char(y[b - 1])) dp[a][b] = solve(a - 1, b - 1) + 1;
    else dp[a][b] = solve(a - 1, b - 1);
    
    dp[a][b] = max(dp[a][b], max(solve(a - 1, b), solve(a, b - 1)));
    
    return dp[a][b];
}

int main(void){
    int q;
    cin >> q;
    for (int i = 0; i < q; i++) {
        cin >> x >> y;
        
        for (int i = 0; i <= x.size(); i++) {
            for (int j = 0; j <= y.size(); j++) dp[i][j] = -1;
        }
        dp[0][0] = 0;
        
        cout << solve(x.size(), y.size()) << endl;
    }
}

C++: #include<iostream>
#include<string>
#include<algorithm>
using namespase 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 = 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() {
    string s1, s2;
    int n; cin >> n;
    for ( i = 0; i < n; i++ ){
        cin >> s1 >> s2;
        cout << lcs(s1, s2) << sndl;
    }
    
    return 0;
    
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <queue>
#include <map>
#include <set>
#include <cmath>
#include <cstdio>
#include <cstring>
using namespace std;
typedef long long int ll;
#define rep(i, a, n) for (ll i = a; i < (ll)(n); i++)
long long GCD(long long a, long long b) { return b ? GCD(b, a%b) : a; }
long long LCM(long long a, long long b)  {return a/GCD(a,b)*b;}

int main()
{
    int n;
    cin>>n;
    while(n--)
    {
        string a,b;
        cin>>a>>b;
        int al=a.length();
        int bl=b.length();
        int dp[1005][1005];
        memset(dp,0,sizeof(dp));
       // for(int i=0;i<=al;i++)
           // dp[i][0]=0;
       // for(int i=0;i<=bl;i++)
            //dp[0][i]=0;
        for(int i=1;i<=al;i++)
            for(int j=1;j<=bl;j++)
            {
                if(a[i-1]==b[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]);
                    
            }
        cout<<dp[al][bl]<<endl;
    }
    return 0;
}

C++: #include<stdio.h>
#include<string>
#include<algorithm>
using namespase 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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
#define all(x) (x).begin(),(x).end()
const double PI = acos(-1);
const ll MOD = 1000000007;
using Graph = vector<vector<int>>;

int main() {
  int q; cin >> q;
  rep(z,q) {
    string s,t; cin >> s >> t;
    int N = s.size();
    int M = t.size();
    s = ' ' + s;
    t = ' ' + t;

    vector<vector<int>> dp(N+1, vector<int>(M+1));

    rep(i,N+1) {
      rep(j,M+1) {
        if(i == 0 || j == 0) continue;
        if(s[i] == t[j]) dp[i][j] = dp[i-1][j-1] + 1;
        else dp[i][j] = max(dp[i-1][j],dp[i][j-1]);
      }
    }

    cout << dp[N][M] << endl;
  }
}