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>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto& (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define sar(a,n) cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl
#define svec(v) cout<<#v<<":";rep(pachico,v.size())cout<<" "<<v[pachico];cout<<endl
#define svecp(v) cout<<#v<<":";each(pachico,v)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl
#define sset(s) cout<<#s<<":";each(pachico,s)cout<<" "<<pachico;cout<<endl
#define smap(m) cout<<#m<<":";each(pachico,m)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

const int MAX_N = 100005;

const int MAX_SIZE = 52;

int LCS(const string& a, const string& b){
    int n = (int)a.size(), m = (int)b.size();
    vector<int> x(n), y(m);
    rep(i,n){
        x[i] = a[i]-'a';
        if(x[i] < 0){
            x[i] = a[i]-'A'+26;
        }
    }
    rep(i,m){
        y[i] = b[i]-'a';
        if(y[i] < 0){
            y[i] = b[i]-'A'+26;
        }
    }
    vector<vector<int> > vec(MAX_SIZE);
    for(int j = m-1; j >= 0; --j){
        vec[y[j]].push_back(j);
    }
    vector<int> xs(n+1, INF);
    xs[0] = -INF;
    rep(i,n){
        rep(j,(int)vec[x[i]].size()){
            *lower_bound(xs.begin(),xs.end(),vec[x[i]][j]) = vec[x[i]][j];
        }
    }
    return upper_bound(xs.begin(),xs.end(),INF-1) - xs.begin();
}


int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int q;
    cin >> q;
    rep(i,q){
        string a,b;
        cin >> a >> b;
        cout << LCS(a,b) << "\n";
    }
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <bitset>
#include <cmath>
#include <deque>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>

#define Rep(i, b, e) for(int (i) = (b); (i) < (e); ++(i))
#define Repr(i, b, e) for(int (i) = (b) - 1; (i) >= (e); --(i))
#define Print(x) cout << (x) << endl 
#define Min2(a, b) ((a) < (b)) ? (a) : (b)
#define Max2(a, b) ((a) > (b)) ? (a) : (b)

typedef long long ll;

using namespace std;

string X, Y;
int dp[1001][1001];

int max3(int a, int b, int c){
    return Max2(a, (Max2(b, c)));
}

int lcs(){
    int lenX = (int)X.length();
    int lenY = (int)Y.length();
    Rep(i, 0, lenX + 1) Rep(j, 0, lenY + 1) dp[i][j] = 0;
    Rep(i, 0, lenX){
        Rep(j, 0, lenY){
            dp[i + 1][j + 1] = max3(dp[i][j] + (X[i] == Y[j]), dp[i][j + 1], dp[i + 1][j]);
        }
    }
    return dp[lenX][lenY];
}

int main(){
    int q;
    cin >> q;
    Rep(i, 0, q){
        cin >> X >> Y;
        cout << lcs() << endl;
    }
    return 0;
}

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

using namespace std;
const int dx[]={1,0,-1,0,1,-1,-1,1,0};
const int dy[]={0,1,0,-1,1,1,-1,-1,0};
const int INF = 1e9+101;
const long long LINF = 1e18;
const double EPS = 1e-8;
#define pb push_back
#define mk make_pair
#define fr first
#define sc second
#define reps(i,j,k) for(ll i = (j); i < (k); ++i)
#define rep(i,j) reps(i,0,j)
#define all(a) (a).begin(),(a).end()
#define MOD 1000000007
typedef long long ll;
typedef pair<ll,ll> Pii;
typedef pair<Pii,int> P;
typedef vector<int> vi;
typedef vector<ll> vll;
template<class T>
ostream& operator<<(ostream &out, const vector<T> &v){
	out << "{";
	rep(i,v.size()){
		out << v[i] <<", ";
	}
	return out << "}" << endl;
}

int main() {
    int N;
    cin >> N;
    while(N--) {
        int dp[1024][1024] = {{}};
        string a,b;
        cin >> a >> b;
        int ans = 0;
        reps(i,1,a.size()+1){
            reps(j,1,b.size()+1) {
                dp[i][j] = max(dp[i-1][j],max(dp[i][j-1], dp[i-1][j-1]+(a[i-1]==b[j-1])));
                ans = max(ans, dp[i][j]);
            }
        }
        cout << dp[a.size()][b.size()] << endl;
    }
    return 0;  
}

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

int main(){
    int q;
    cin >> q;
    while(q-- > 0){
        string s, t;
        cin >> s >> t;
        s = " " + s; // padding
        t = " " + t; // padding
        int h = s.length(), w = t.length();
        vector<vector<int>> dp(h, vector<int>(w,0));
        for(int i = 1; i < h; i++){
            for(int j = 1; j < w; j++){
                dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
                if(s[i] == t[j])    dp[i][j] = max(dp[i][j], dp[i-1][j-1]+1);
            }
        }
        cout << dp[h-1][w-1] << endl;
    }
    return 0;
}