Go: package main

import (
	"bufio"
	"fmt"
	"io"
	"os"
	"strconv"
)

const (
	initialBufSize = 100000
	maxBufSize     = 1000000
)

var sc *bufio.Scanner

func initScanner(r io.Reader) *bufio.Scanner {
	buf := make([]byte, initialBufSize)

	sc := bufio.NewScanner(r)
	sc.Buffer(buf, maxBufSize)
	sc.Split(bufio.ScanWords) // bufio.ScanLines
	return sc
}

func main() {
	sc = initScanner(os.Stdin)
	resolve()
}

func resolve() {
	n := scanInt(sc)
	results := []int{}
	for i := 0; i < n; i++ {
		results = append(results, resolveInstance())
	}
	for _, v := range results {
		fmt.Println(v)
	}
	return
}

func resolveInstance() int {
	x, y := scanString(sc), scanString(sc)
	lx, ly := len(x), len(y)
	dp := make([][]int, lx+1)
	dp[0] = make([]int, ly+1)
	for i := 1; i <= lx; i++ {
		dp[i] = make([]int, ly+1)
		dp[i][0] = dp[i-1][0]
		for j := 1; j <= ly; j++ {
			dp[i][j] = dp[i-1][j]
			if dp[i][j] < dp[i][j-1] {
				dp[i][j] = dp[i][j-1]
			}
			if x[i-1] == y[j-1] {
				cL := dp[i-1][j-1] + 1
				if dp[i][j] < cL {
					dp[i][j] = cL
				}
			}
		}
	}
	return dp[lx][ly]
}

const (
	remove = 0 + iota
	match
)

// snip-scan-funcs
func scanInt(sc *bufio.Scanner) int {
	sc.Scan()
	i, _ := strconv.Atoi(sc.Text())
	return int(i)
}
func scanString(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

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;
}

C++: #include<cstdio>
#include<cstdlib>
#include<algorithm>
#include<iostream>
using namespace std;
#define MAX 1000

int main(){
  int n;
  cin>>n;
  string a,b;
  for(int i=0;i<n;i++){
    cin>>a>>b;
    int C[MAX+1][MAX+1]={0};
    for(int i=1;i<=a.size();i++){
      for(int j=1;j<=b.size();j++){
        if(a[i]==b[j]) C[i][j]=C[i-1][j-1]+1;
        else{
          C[i][j]=max(C[i-1][j],C[i][j-1]);
        }
      }
    }
    cout<<C[a.size()][b.size()]<<endl;
  }
  
}

C++: //最长公共子序列 
#include<iostream>
#include<algorithm>
#include<string>
using namespace std;

int LCS(string s1,string s2)
{
	int c[1005][1005];
	int m1=s1.length();
		int m2=s2.length();
		int maxx=0;
		s1=' '+s1;
		s2=' '+s2;
		for(int i=1;i<=m1;i++)
			c[i][0]=0;
		for(int j=1;j<=m2;j++)
			c[0][j]=0;
		int i,j;
		for(i=1;i<=m1;i++)
		{
			for(j=1;j<=m2;j++)
			{
				if(s1[i]==s2[j])
					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];
				}
				maxx=max(maxx,c[i][j]);
			}
			
		}
		return maxx;	
	
}
int main()
{
	int n;
	cin>>n;
	
	while(n--)
	{
		string s1,s2;	
		cin>>s1>>s2;
		cout<<LCS(s1,s2)<<endl;
	}
	return 0;
}