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<string>
#include<algorithm>
#include<cstdlib>
#include<cmath>
#include<vector>
#include<list>

using namespace std;

int n;
string x,y;

vector<vector<int> > q(1001,vector<int>(1001,-1));

int search(int i,int j){
  int ans;
  if(i<0 || j<0) return 0;
  if(q[i][j] != -1) return q[i][j];
  if( x[i] == y[j] ){
    ans=max( {search(i-1,j-1)+1,search(i-1,j),search(i,j-1)} );
    q[i][j]=ans;
    return ans;
  }
  else{
    ans=max( search(i-1,j),search(i,j-1) );
    q[i][j]=ans;
    return ans;
  }

}


int main(void){

  cin>>n;

  for(int i=0;i<n;i++){
    cin>>x;
    cin>>y;

    for(int ix=0;ix<1001;ix++){
      for(int iy=0;iy<1001;iy++){
        q[ix][iy]=-1;
      }
    }

    search( x.size(),y.size() );
    cout << q[x.size()-1][y.size()-1] << endl;
  }



  return 0;
}

C++: #include<iostream>
#include<string>
#include<algorithm>
#include<vector>
#include<limits.h>
using namespace std;
static const int n=1000;
static const int m=1000;

int lcs(string X,string Y){
	int i,j,c[m+1][n+1];
	int m=X.size();
	int n=Y.size();
    
	for (i=0;i<m+1;i++) c[i][0]=i;
	for (j=0;j<n+1;j++) c[0][j]=j;
	for (i=1;i<m+1;i++){
		for (j=1;j<n+1;j++){
			int min=c[i-1][j]+1;
			if (min>c[i][j-1]+1)
				min=c[i][j-1]+1;
            if ((X[i-1]==Y[j-1])&&(min>c[i-1][j-1]+1))
				min=c[i-1][j-1]+1;
			c[i][j]=min;
		}
	}
	return m+n-c[m][n];
}

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	
	string s1,s2;
	int m,i;	cin >> m;
	
	for (i=0;i<m;i++){
	cin >> s1 >> s2;
	cout << lcs(s1,s2) << endl;
	}
	return 0;
}

C++: #include<iostream>
#include<string>
int main()
{
  int n;
  int an[1000];
  int l=0;
  std::cin>>n;
  std::string x;
  std::string y;
  int ans[1001][1001];
  int j,k;
  for(int i=0;i<n;i++){
    std::cin>>x;
    std::cin>>y;
    for(int j=0;j<=1000;j++){
      for(int k=0;k<=1000;k++){
	ans[j][k]=0;
      }
    }
    for(int j=0;j<=x.size();j++){
      for(int k=0;k<=y.size();k++){
	if(x[j]==y[k]){
	  ans[j][k]=ans[j-1][k-1]+1;
	}else{
	  if(ans[j][k-1]>ans[j-1][k]){
	    ans[j][k]=ans[j][k-1];
	  }else{
	    ans[j][k]=ans[j-1][k];
	  }
	}
      }
    }
    std::cout<<ans[x.size()-1][y.size()-1]<<'\n';  
  }
  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

int main() {
  int q; cin >> q;
  string A, B; cin >> A >> B;
  for (int i=0; i<q; i++) {
    vector<vector<int>> LCS(A.length()+1, vector<int>(B.length()+1,0));
    for (int j=1; j<=A.length(); j++) {
      for (int k=1; k<=B.length(); k++) {
        if(A[j]==B[k]) LCS[j][k]=LCS[j-1][k-1]+1;
        else LCS[j][k]=max(LCS[j-1][k],LCS[j][k-1]);
      }
    }
    cout << LCS[A.length()][B.length()] << "\n";
  }
}

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

#define N 1000

int lcs(string X,string Y){
	int c[N+1][N+1];
	int m = X.size();
	int n = Y.size();
	X = ' ' + X;
	Y = ' ' + Y;
	for(int i=0;i<=m;i++)c[i][0]=0;
	for(int i=1;i<=n;i++)c[0][i]=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 if(c[i][j-1]>=c[i-1][j]){
				c[i][j] = c[i][j-1];
			}else{
				c[i][j] = c[i-1][j];
			}
		}
	}
	return c[m][n];
}

int main(){
	int n;
	string X,Y;
	cin >> n;
	for(int i=0;i<n;i++){
		cin >> X >> Y;
		printf("%d\n",lcs(X,Y));
	}
	return 0;
}

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

C++: #include<cstdio>
#include<vector>
#include<algorithm>
#include<utility>
#include<numeric>
#include<iostream>
#include<array>
#include<string>
#include<sstream>
#include<stack>
#include<queue>
#include<list>
#define _USE_MATH_DEFINES

#include<math.h>
#include<map>

#define SENTINEL 1000000001

#define min(a,b) (a)>(b)?(b):(a)
#define max(a,b) (a)>(b)?(a):(b)

using namespace std;

int LCS[1000][1000];

void solve(string x, string y)
{
	for (int i = 0; i != x.size(); i++)
	{
		for (int j = 0; j != y.size(); j++)
		{
			if (x[i] == y[j])
			{
				LCS[i + 1][j + 1] = LCS[i][j] + 1;
			}
			else
			{
				LCS[i + 1][j + 1] = max(LCS[i][j + 1], LCS[i + 1][j]);
			}
		}
	}

	cout << LCS[x.size()][y.size()] << endl;
}

int main()
{
	int q;
	cin >> q;

	for (int i = 0; i < 1000; i++)
	{
		LCS[0][i] = 0;
		LCS[i][0] = 0;
	}

	for (int i = 0; i < q; i++)
	{
		string x, y;
		cin >> x >> y;
		solve(x, y);
	}
	return 0;
}

C++: #include <iostream>
#include <string>
#include <utility>
#include <algorithm>
#include <vector>
#include <cstdio>
#include <cstring>

using namespace std;

string s1,s2;

int L(int i,int j){
	if(i<=0||j<=0)return 0;
	else if(s1.at(i)==s2.at(j))return 1+L(i-1,j-1);
	else{
		return L(i,j-1)>L(i-1,j)?L(i,j-1):L(i-1,j);
	}
}

int main(){
	int q;
	cin>>q;
	for(int i=0; i<q; i++){
		cin>>s1>>s2;
		cout<<L(s1.size()-1,s2.size()-1)+1<<endl;
	}
}