Go: package main

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

// I/O
type Scanner struct {
	sc *bufio.Scanner
}

func NewScanner() *Scanner {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	sc.Buffer(make([]byte, 1024), int(1e+9))
	return &Scanner{sc}
}

func (s *Scanner) nextStr() string {
	s.sc.Scan()
	return s.sc.Text()
}

func (s *Scanner) nextInt() int {
	i, e := strconv.Atoi(s.nextStr())
	if e != nil {
		panic(e)
	}
	return i
}

func (s *Scanner) nextFloat() float64 {
	f, e := strconv.ParseFloat(s.nextStr(), 64)
	if e != nil {
		panic(e)
	}
	return f
}

func (s *Scanner) nextRuneSlice() []rune {
	return []rune(s.nextStr())
}

func (s *Scanner) nextIntSlice(n int) []int {
	res := make([]int, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextInt()
	}
	return res
}

func (s *Scanner) nextFloatSlice(n int) []float64 {
	res := make([]float64, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextFloat()
	}
	return res
}

// Arithmetic
func max(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m < i {
			m = i
		}
	}
	return m
}

func min(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m > i {
			m = i
		}
	}
	return m
}

func abs(x int) int {
	if x > 0 {
		return x
	}
	return -x
}

func pow(x, y int) int {
	res := 1
	for i := 0; i < y; i++ {
		res *= x
	}
	return res
}

func ceil(a, b int) int {
	if a%b == 0 {
		return a / b
	} else {
		return a/b + 1
	}
}

// Sort
type RuneSlice []rune

func (a RuneSlice) Len() int           { return len(a) }
func (a RuneSlice) Less(i, j int) bool { return a[i] < a[j] }
func (a RuneSlice) Swap(i, j int)      { a[i], a[j] = a[j], a[i] }

// Main
func main() {
	sc := NewScanner()
	wtr := bufio.NewWriter(os.Stdout)
	Q := sc.nextInt()
	for q := 0; q < Q; q++ {
		X, Y := sc.nextStr(), sc.nextStr()
		xLen, yLen := len(X), len(Y)
		dp := make([][]int, xLen+1)
		for i := 0; i <= xLen; i++ {
			dp[i] = make([]int, yLen+1)
		}
		for x := 0; x <= xLen; x++ {
			for y := 0; y <= yLen; y++ {
				if x == 0 || y == 0 {
					dp[x][y] = 0
				} else if X[x-1] == Y[y-1] {
					dp[x][y] = dp[x-1][y-1] + 1
				} else {
					dp[x][y] = max(dp[x-1][y], dp[x][y-1])
				}
			}
		}
		fmt.Fprintln(wtr, dp[xLen][yLen])
	}

	wtr.Flush()
}

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

using namespace std;

int main(){
    int q;
    scanf("%d", &q);
    while(q--)
    {
        string X, Y;
        cin>>X>>Y;
        int table[X.length() + 1][Y.length() + 1];
        for(int i=0; i<Y.length() + 1; i++) table[0][i] = 0;
        for(int i=1; i<X.length() + 1; i++)
        {
            table[i][0] = 0;
            for(int j=1; j<Y.length() + 1; j++)
            {
                if(X[i-1] == Y[j-1]) table[i][j] = table[i-1][j-1] + 1;
                else table[i][j] = max(table[i-1][j], table[i][j-1]);
            }
        }
        printf("%d\n", table[X.length()][Y.length()]);
    }
}

C++: #include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)

vector<vector<int> > DP(1000,vector<int>(1000));

void init(int n,int m){
    rep(i,n){
        rep(j,m){DP[i][j]=-1;}
    }
}

int LCS(char a[],char b[],int n,int m){
    if(n<0||m<0)return 0;
    if(DP[n][m]!=-1)return DP[n][m];
    if(a[n]==b[m])return DP[n][m]=1+LCS(a,b,n-1,m-1);
    return DP[n][m]=max(LCS(a,b,n-1,m),LCS(a,b,n,m-1));
}

int main(){
    int q;cin>>q;
    char s[1001],t[1001];
    rep(i,q){
        cin>>s>>t;
        int n=strlen(s),m=strlen(t);
        init(n,m);
        int ans=LCS(s,t,n-1,m-1);
        printf("%d\n",ans);
    }
}

C++: #include<iostream>
#include<math.h>
#include<stdlib.h>
#include<string>
#include<limits.h>
#include<utility>
#include<vector>
#include<tuple>
#include<algorithm>
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
#define rep(i,n) for(int i=0;i<n;i++)
#define ALL(A) A.begin(),A.end()


int main() {
	int n;
	cin >> n;
	rep(i, n) {
		string x, y;
		cin >> x >> y;
		int xl = x.length(), yl = y.length();
		vector<vector<int>> com(xl, vector<int>(yl, 0));
		rep(j, xl) {
			rep(k, yl) {
				if (j == 0) {
					if (k == 0) {
						if (x[j] != y[k]) {
							com[j][k] = 0;
						}
						else {
							com[j][k] = 1;
						}
					}
					else {
						if (com[j][k-1] == 1) {
							com[j][k] = 1;
						}
						else {
							if (x[j] != y[k]) {
								com[j][k] = 0;
							}
							else {
								com[j][k] = 1;
							}
						}
					}
				}
				else {
					if (k == 0) {
						if (com[j-1][k] == 1) {
							com[j][k] = 1;
						}
						else {
							if (x[j] == y[k]) {
								com[j][k] = 1;
							}
							else {
								com[j][k] = 0;
							}
						}
					}
					else {
						if (x[j] == y[k]) {
							com[j][k] = com[j - 1][k - 1]+1;
						}
						else {
							com[j][k] = max(com[j][k - 1], com[j - 1][k]);

						}
					}
				}
				//cout << com[j][k] <<" ";
			}
			//cout << x[j]<<endl;
		}
		cout << com[xl - 1][yl - 1] << endl;
	}
}

C++: #include<bits/stdc++.h>
using namespace std;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }


int main() {
	
	int q;
	cin >> q;
	for(int cnt=0; cnt<q; cnt++){
		string s,t;
		cin >> s >> t;
		vector<vector<int>> dp(s.size()+1,vector<int>(t.size()+1));
		for(int i=0; i<s.size(); i++){
			for(int j=0; j<t.size(); j++){
				if(s.at(i)==t.at(j)) dp.at(i+1).at(j+1) = dp.at(i).at(j) + 1;
				else  dp.at(i+1).at(j+1) = max( dp.at(i).at(j+1) , dp.at(i+1).at(j) );
			}
		}
		cout << dp.at(s.size()).at(t.size())<<endl;
	}
}

C++: //ALDS1_10_C:Longest Common Subsequence
#include <bits/stdc++.h>
using namespace std;
#define LL_MIN -9223372036854775808
#define LL_MAX 9223372036854775807

int main(){
    int q;
    cin >> q;
    for(int i=0; i<q; i++){
        string X,Y;
        cin >> X >> Y;
        int lcs[1001][1001];
        for(int i=0; i<=X.size(); i++){
            for(int j=0; j<=Y.size(); j++){
                if(i == 0 || j == 0) lcs[i][j] = 0;
                else if(X[i-1] == Y[j-1]) lcs[i][j] = lcs[i-1][j-1] + 1;
                else lcs[i][j] = max(lcs[i][j-1], lcs[i-1][j]);
            }
        }
        cout << lcs[X.size()][Y.size()] << endl;
    }
}

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

int main(void){
  string st1, st2;
  int q, val[151][151];

  cin >> q;

  for(int i=0; i<q; i++){
    cin>>st1;
    cin>>st2;

    for(int j=0; j<=st1.length(); j++){
      for(int k=0; k<=st2.length(); k++){

	if(j==0 || k==0) val[j][k] = 0;
	else{

	  if(st1[j-1] == st2[k-1]){
	    val[j][k] = max(val[j-1][k], val[j][k-1]+1);
	  }else{
	    val[j][k] = max(val[j-1][k], val[j][k-1]);
	  }
	}

	if(val[j][k] >= st1.length() || val[j][k] >= st1.length()){
	  val[j][k] = min(st1.length(), st2.length());
	}
      }
    }

    /*
      for(int j=0; j<=st1.length(); j++){
      for(int k=0; k<=st2.length(); k++){
      cout << val[j][k] << " ";
      }
      cout << "\n";
      }
    */

    cout << val[st1.length()][st2.length()] << "\n";
  }

  return 0;
}

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

int lcs(string X, string Y) {
	int dp[1000 + 1][1000 + 1];
	int max = 0;
	X = ' ' + X;
	Y = ' ' + Y;
	for (unsigned int i = 1; i <= X.size() - 1; i++)
		dp[i][0] = 0;

	for (unsigned int i = 1; i <= Y.size() - 1; i++)
		dp[0][i] = 0;
	for (unsigned int i = 1; i <= X.size() - 1; i++) {
		for (unsigned int j = 1; j <= Y.size() - 1; j++) {
			if (X[i] == Y[i])
				dp[i][j] = dp[i - 1][j - 1] + 1;
			else if (dp[i - 1][j] >= dp[i][j - 1])
				dp[i][j] = dp[i - 1][j];
			else
				dp[i][j] = dp[i][j - 1];

			max = (max < dp[i][j]) ? dp[i][j] : max;
		}
	}

	return max;
}

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

	for (int i = 0; i < N; i++) {
		string X, Y;
		cin >> X >> Y;

		cout << lcs(X, Y) << endl;
	}

	return 0;
}