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<vector>
#include<string>
#include<algorithm>

using namespace std;

string s, t;

int main() {
	int n;
	cin >> n;
	while (n--) {
		//dp[i][j] := s???i??????????????§???t???j??????????????§?????£?????¨??????LCS
		vector<vector<int>> dp(200, vector<int>(200));
		cin >> s >> t;
		dp[0][0] = (s[0] == t[0]);
		for (int i = 1; i < s.size(); i++)dp[i][0] = (s[i] == t[0] || dp[i - 1][0]);
		for (int j = 1; j < t.size(); j++)dp[0][j] = (s[0] == t[j] || dp[0][j - 1]);
		
		for (int i = 1; i < s.size(); i++) {
			for (int j = 1; j < t.size(); j++) {
				if (s[i] == t[j])dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])+1;
				else dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
			}
		}
		cout << dp[s.size() - 1][t.size() - 1] << endl;
	}
}

C++: #include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPR(i, n) for (int i = n - 1; i >= 0; --i)
#define FOR(i, a, b) for (int i = a; i < b; ++i)
#define FORR(i, a, b) for (int i = b - 1; i >= a; --i)
#define SORT(v) sort(v.begin(), v.end())
#define SORTR(v) sort(v.rbegin(), v.rend())
#define REV(v) reverse(v.begin(), v.end())
#define ITER(itr, v) for (auto itr = v.begin(); itr != v.end(); ++itr)
#define LB(v, x) (lower_bound(v.begin(), v.end(), x) - v.begin())
#define UB(v, x) (upper_bound(v.begin(), v.end(), x) - v.begin())
#define SZ(v) (int)v.size()
using namespace std;
using ll = long long;
using P = pair<int, int>;

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	int q;
	cin >> q;
	REP(k, q) {
		string X, Y;
		cin >> X >> Y;
		int x = X.size(), y = Y.size();
		vector<vector<int>> dp(x + 1, vector<int>(y + 1));
		REP(i, x) {
			REP(j, y) {
				if (X[i] != Y[j]) {
					dp[i + 1][j + 1] = max(dp[i + 1][j], dp[i][j + 1]);
				} else {
					dp[i + 1][j + 1] = dp[i][j] + 1;
				}
			}
		}
		cout << dp[x][y] << endl;
	}

	return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<ll> vec;
typedef vector<vec> mat;
typedef pair<ll,ll> pll;
const ll mod=1e9+7;
//const ll mod=998244353;
const ll inf=5e18;

int main() {
  ll q;
  cin >> q;
  while(q--) {
    string s;
    string t;
    cin >> s >> t;
    mat dp(s.size()+1,vec(t.size()+1));
    for(ll i=0;i<s.size();i++) {
      for(ll j=0;j<t.size();j++) {
        if(s[i]==t[j]) {
          dp[i+1][j+1]=max({dp[i][j]+1,dp[i+1][j],dp[i][j+1]});
        }
        else {
          dp[i+1][j+1]=max({dp[i][j],dp[i+1][j],dp[i][j+1]});
        }
      }
    }
    cout << dp[s.size()][t.size()] << endl;
  }
}

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

int Max(int &a,int b){return a=max(a,b);}

int LCS(string &a,string &b){
  int n = a.size();
  int m = b.size();
  vector <vector<int> > dp(n+1,vector<int>(m+1));

  for(int i=0;i<=n;i++)
    for(int j=0;j<=m;j++){
      if(i<n&&j<m&&a[i] == b[j]) Max(dp[i+1][j+1],dp[i][j]+1);
      Max(dp[i+1][j],dp[i][j]);
      Max(dp[i][j+1],dp[i][j]);
    }
  return dp[n][m];
}

int main(){
  int q;
  cin>>q;
  while(q--){
    string a,b;
    cin>>a>>b;
    cout<<LCS(a,b)<<endl;
  }
  return 0;
}

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

using namespace std;

int lcs(const string& a, const string& b) {
    int dp[1000+1][1000+1];
    int al = a.size();
    int bl = b.size();
    memset(dp, 0, sizeof(dp[0][0])*al*bl);
    for (int i = 1; i <= al; ++i) {
        for (int j = 1; j <= bl; ++j) {
            if(a[i - 1] == b[j - 1]) {
//                cout << "=" << endl;
                dp[i][j] = dp[i - 1][j - 1] + 1;
            } else {
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
            }
            // cout << a[i] << ":" << b[j] << endl;
            // cout << i << "," << j << "," << dp[i][j] << endl;
            // cout << endl;
        }
    }
    return dp[al][bl];
}

int main() {
    int n;
    scanf("%d", &n);

    for (int i = 0; i < n; ++i) {
        string a, b;
        cin >> a >> b;
        cout << lcs(a, b) << endl;
    }
}

C++: #include <bits/stdc++.h>
#define ll long long
#define ld long double
#define fi first
#define se second
#define pb push_back
#define pii pair<int,int>
#define pll pair<long long,long long>
#define all(v) v.begin(), v.end()
using namespace std;

string a,b;
int dp[1010][1010];
bool u[1010][1010];

int fn(int i,int j){
    if( i < 0 || j < 0 ) return 0;
    if( u[i][j] ) return dp[i][j];
    u[i][j] = true;
    int ans = max( fn(i-1,j) , fn(i,j-1) );
    if( a[i]==b[j] ) ans = max( ans , 1+fn(i-1,j-1) );
    return dp[i][j] = ans;
}

int main()
{

    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int t;
    cin >> t;
    for(int i=1; i<=t; i++){
        cin >> a >> b;
        for(int j=0; j<a.size(); j++) for(int k=0; k<b.size(); k++) u[j][k] = false;
        cout << fn( a.size()-1 , b.size()-1 ) << "\n";
    }

    return 0;
}