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<stdio.h>

int hantei(char x[], char y[]) {
  int xn = 0, yn = 0, flag = 0, i, j, max = 0;
  int c[101][101];
  
  while (flag == 0)
  {
    if (x[xn] != '\0')
    {
      xn++;
    }
    else
    {
      flag = 1;
    }
  }
  
  flag = 0;
  
  while (flag == 0)
  {
    if (y[yn] != '\0')
    {
      yn++;
    }
    else
    {
      flag = 1;
    }
  }
  for (i = 1; i < xn + 1; i++) c[i][0] = 0;
  for (j = 1; j < yn + 1; j++) c[0][j] = 0;
  
  for (i = 1; i < xn + 1; i++)
  {
    for (j = 1; j < yn + 1; j++)
    {
      if (x[i - 1] == y[j - 1])
      {
        c[i][j] = c[i - 1][j - 1] + 1;
      }
      else if (c[i - 1][j] >= c[i][j - 1])
      {
        c[i][j] = c[i - 1][j];
      }
      else
      {
        c[i][j] = c[i][j - 1];
      }
      if (max < c[i][j]) max = c[i][j];
    }
  }
  
  return max;
}

int main(void) {
  char x[1000], y[1000];
  int q, i;
  
  scanf("%d", &q);
  
  for (i = 0; i < q; i++)
  {
    scanf("%s", x);
    scanf("%s", y);
    printf("%d\n", hantei(x, y));
  }
  
  return 0;
}

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

using namespace std;

int main(){
    int q;
    scanf("%d", &q);
    while(q--)
    {
        string X, Y;
        cin>>X>>Y;
        int table[X.length() + 1][Y.length() + 1];
        for(int i=0; i<Y.length() + 1; i++) table[0][i] = 0;
        for(int i=1; i<X.length() + 1; i++)
        {
            table[i][0] = 0;
            for(int j=1; j<Y.length() + 1; j++)
            {
                if(X[i-1] == Y[j-1]) table[i][j] = table[i-1][j-1] + 1;
                else table[i][j] = max(table[i-1][j], table[i][j-1]);
            }
        }
        printf("%d\n", table[X.length()][Y.length()]);
    }
}

C++: #include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)

vector<vector<int> > DP(1000,vector<int>(1000));

void init(int n,int m){
    rep(i,n){
        rep(j,m){DP[i][j]=-1;}
    }
}

int LCS(char a[],char b[],int n,int m){
    if(n<0||m<0)return 0;
    if(DP[n][m]!=-1)return DP[n][m];
    if(a[n]==b[m])return DP[n][m]=1+LCS(a,b,n-1,m-1);
    return DP[n][m]=max(LCS(a,b,n-1,m),LCS(a,b,n,m-1));
}

int main(){
    int q;cin>>q;
    char s[1001],t[1001];
    rep(i,q){
        cin>>s>>t;
        int n=strlen(s),m=strlen(t);
        init(n,m);
        int ans=LCS(s,t,n-1,m-1);
        printf("%d\n",ans);
    }
}

C++: #include<iostream>
#include<math.h>
#include<stdlib.h>
#include<string>
#include<limits.h>
#include<utility>
#include<vector>
#include<tuple>
#include<algorithm>
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
#define rep(i,n) for(int i=0;i<n;i++)
#define ALL(A) A.begin(),A.end()


int main() {
	int n;
	cin >> n;
	rep(i, n) {
		string x, y;
		cin >> x >> y;
		int xl = x.length(), yl = y.length();
		vector<vector<int>> com(xl, vector<int>(yl, 0));
		rep(j, xl) {
			rep(k, yl) {
				if (j == 0) {
					if (k == 0) {
						if (x[j] != y[k]) {
							com[j][k] = 0;
						}
						else {
							com[j][k] = 1;
						}
					}
					else {
						if (com[j][k-1] == 1) {
							com[j][k] = 1;
						}
						else {
							if (x[j] != y[k]) {
								com[j][k] = 0;
							}
							else {
								com[j][k] = 1;
							}
						}
					}
				}
				else {
					if (k == 0) {
						if (com[j-1][k] == 1) {
							com[j][k] = 1;
						}
						else {
							if (x[j] == y[k]) {
								com[j][k] = 1;
							}
							else {
								com[j][k] = 0;
							}
						}
					}
					else {
						if (x[j] == y[k]) {
							com[j][k] = com[j - 1][k - 1]+1;
						}
						else {
							com[j][k] = max(com[j][k - 1], com[j - 1][k]);

						}
					}
				}
				//cout << com[j][k] <<" ";
			}
			//cout << x[j]<<endl;
		}
		cout << com[xl - 1][yl - 1] << endl;
	}
}

C++: #include<bits/stdc++.h>
using namespace std;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }


int main() {
	
	int q;
	cin >> q;
	for(int cnt=0; cnt<q; cnt++){
		string s,t;
		cin >> s >> t;
		vector<vector<int>> dp(s.size()+1,vector<int>(t.size()+1));
		for(int i=0; i<s.size(); i++){
			for(int j=0; j<t.size(); j++){
				if(s.at(i)==t.at(j)) dp.at(i+1).at(j+1) = dp.at(i).at(j) + 1;
				else  dp.at(i+1).at(j+1) = max( dp.at(i).at(j+1) , dp.at(i+1).at(j) );
			}
		}
		cout << dp.at(s.size()).at(t.size())<<endl;
	}
}

C++: //ALDS1_10_C:Longest Common Subsequence
#include <bits/stdc++.h>
using namespace std;
#define LL_MIN -9223372036854775808
#define LL_MAX 9223372036854775807

int main(){
    int q;
    cin >> q;
    for(int i=0; i<q; i++){
        string X,Y;
        cin >> X >> Y;
        int lcs[1001][1001];
        for(int i=0; i<=X.size(); i++){
            for(int j=0; j<=Y.size(); j++){
                if(i == 0 || j == 0) lcs[i][j] = 0;
                else if(X[i-1] == Y[j-1]) lcs[i][j] = lcs[i-1][j-1] + 1;
                else lcs[i][j] = max(lcs[i][j-1], lcs[i-1][j]);
            }
        }
        cout << lcs[X.size()][Y.size()] << endl;
    }
}