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;
using ll = long long;

void init();
void solve();

#define rep(i, a) for (int i = 0; i < (int) (a); i++)
#define reps(i, a, b) for (int i = (int) (a); i < (int) (b); i++)
#define rrep(i, a) for (int i = (int) a-1; i >= 0; i--)
#define rreps(i, a, b) for (int i = (int) (a)-1; i >= (int) (b); i--)
#define MP(a, b) make_pair((a), (b))
#define PB(a) push_back((a))
#define all(v) (v).begin(), (v).end()
#define PRINT(f) if((f)){cout << (TRUE__) << endl;}else{cout << FALSE__ << endl;}
#define TRUE__  "Yes"
#define FALSE__ "No"
#define PERM(v) next_permutation(all(v))
#define UNIQUE(v) sort(all(v));(v).erase(unique(all(v)), v.end())
#define CIN(type, x) type x;cin >> x

#ifdef LOCAL
#define lcout(a) cout << a
#define lcoutln(a) cout << a << endl
#define lcerr(a) cerr << a
#define lcerrln(a) cerr << a << endl
#else
#define lcout(a) 
#define lcoutln(a) 
#define lcerr(a) 
#define lcerrln(a) 
#endif
#define MOD 1000000007

signed main()
{
	init();
	solve();
}

int q, xl, yl;
string x, y;

void init()
{
	cin >> q;
}

int dp[1010][1010];

void reset()
{
	rep(i, xl+2) rep(j, yl+2) dp[i][j] = 0;
}


void solve()
{
	rep(cnt, q) {
		cin >> x >> y;
		xl = x.length();
		yl = y.length();
		reps(i, 1, xl+1) reps(j, 1, yl+1) {
			if (x[i-1] == y[j-1]) dp[i][j] = dp[i-1][j-1] + 1;
			else dp[i][j] = max(dp[i][j-1], dp[i-1][j]);
		}
		cout << dp[xl][yl] << endl;
		reset();
	}
}

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=1; i<=m; i++) c[i][0]=0;
    for(int j=0; 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<iostream>
#include<algorithm>
#include<string>
using namespace std;

string X;
string Y;

int calc(int x, int y){
    if (X[x] == '\0') return 0;
    if (y == string::npos) return 0;

    int unuse = calc(x + 1, y);
    int use = 0;
    int y_target = Y.find(X[x], y);
    if (y_target == string::npos) {
        use = 0;
    } else {
        use = calc(x + 1, y_target + 1) + 1;
    }
    return max(unuse, use);
}

int main(){
    int q;
    cin >> q;
    for (int i = 0; i < q; i++) {
        cin >> X;
        cin >> Y;
        cout << calc(0, 0) << endl;
    }

    return 0;
}

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

int N,len1,len2;
string seq1,seq2;
int dp[1000+10][1000+10];

int main() {
	cin >> N;
	for (int M=0; M<N; M++){
		cin >> seq1 >> seq2;
		len1 = seq1.length();
		len2 = seq2.length();
		for (int i=1; i<=len1; i++){
			for (int j=1; j<=len2; j++){
				if (seq1[i-1] == seq2[j-1]){
					dp[i][j] = dp[i-1][j-1] + 1;
				}else if (dp[i][j-1] > dp[i-1][j]){
					dp[i][j] = dp[i][j-1];
				}else{
					dp[i][j] = dp[i-1][j];
				}
			}
		}
		cout << dp[len1][len2] << endl;
	}
	
	return 0;
}

C++: //	created : 16/03/15
// 	author   : Rp7rf
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstdio>
#include <cstring>
#include <set>
typedef long long ll;
typedef unsigned long long ull;
using namespace std;
#define rep(i,a) for(int i = 0 ; i < a ; i ++)
#define loop(i,a,b) for(int i = a ; i < b ; i ++)
#define vi vector<int>
#define mp make_pair
#define pb push_back
#define MOD 1000000007
#define INF 1e9


int main(void){
	int n;
	string s1,s2;
	cin>>n;
	int dp[1010][1010];
	rep(i,n){
		int ret = 0;
		cin>>s1>>s2;
		rep(i,s1.size())dp[i][0] = 0;
		rep(j,s2.size())dp[0][j] = 0;

		loop(i,0,s1.size()){
			loop(j,0,s2.size()){
				if(s1[i] == s2[j]){
					dp[i][j] = dp[i-1][j-1] + 1;
				}else{
					dp[i][j] = max(dp[i-1][j],dp[i][j-1]);
				}
				ret = max(ret,dp[i][j]);
			}
		}
		cout<<ret<<endl;
	}
}

C++: #include <bits/stdc++.h>
#include <math.h>

using namespace std;

long long inf=1000000007;

long long modpow(long long n,long long p,long long mod);

int main(){
	long long n;
	cin>>n;
	for(long long i=0;i<n;i++){
		string s,t;
		cin>>s>>t;
		long long ss=s.size(),ts=t.size();
		vector<vector<long long>> dp(ss+1,vector<long long>(ts+1,-1));
		dp.at(0).at(0)=0;

		for(long long j=0;j<=ss;j++){
			for(long long k=0;k<=ts;k++){
				if(j==0 || k==0){
					dp.at(j).at(k)=0;
					continue;
				}

				if(s.at(j-1)==t.at(k-1)){
					dp.at(j).at(k)=dp.at(j-1).at(k-1)+1;
				}else{
					dp.at(j).at(k)=max(dp.at(j-1).at(k),dp.at(j).at(k-1));
				}
			}
		}

		cout<<dp.at(ss).at(ts)<<endl;
	}

	return 0;
}

long long modpow(long long n,long long p,long long mod){
	if(p==0) return 1;
	if(p%2==0) return (modpow(n,p/2,mod)*modpow(n,p/2,mod))%mod;
	if(p%2==1) return (modpow(n,p-1,mod)*n)%mod;
	cerr<<"ERROR"<<endl;
	return 1;
}