Go: package main

import "fmt"

func initialize_grid(width int,height int)[][]int{
	var grid [][]int
	for i:=0;i<height+1;i++{
		var grid_row  []int
		for j:=0;j<width+1;j++{
			grid_row = append(grid_row,0)
		}
		grid = append(grid,grid_row[:])
	}
	return grid
}

func ma(x int,y int)int{
	if x >= y{
		return x
	}else{
		return y
	}
}

func main()  {
	//Take input
	var num int
	var st1,st2 string
	var string_pairs [][]string
	fmt.Scan(&num)
	for i:=0;i<num;i++{
		var string_pair []string
		fmt.Scan(&st1)
		fmt.Scan(&st2)
		string_pair = append(string_pair,st1,st2)
		string_pairs = append(string_pairs,string_pair)
	}
	//DP
	//initialize grid
	for i:=0;i<num;i++{
		string_1 := string_pairs[i][0]
		string_2 := string_pairs[i][1]

		dp := initialize_grid(len(string_2),len(string_1))

		for j:=1;j<len(string_1)+1;j++{
			for k:=1;k<len(string_2)+1;k++{
				if string_1[j-1] == string_2[k-1]{
					dp[j][k] = dp[j-1][k-1] + 1
				}else{
					dp[j][k] = ma(dp[j-1][k],dp[j][k-1])
				}
			}
		}
		fmt.Println(dp[len(string_1)][len(string_2)])
	}
}

C++: #include <bits/stdc++.h>
#define rep(i, n) for (int i=0; i<(int)(n); i++)
#define all(v) v.begin(), v.end()
using namespace std;
using ll = long long;
using Graph = vector<vector<int>>;
const ll MOD = 1000000007;
const ll INF = 9999999999;
const int INFI = 2147483647;
template<class T> inline bool chmin(T& a, T b){if (a>b){a = b; return true;}return false;}
template<class T> inline bool chmax(T& a, T b){if (a<b){a = b; return true;}return false;}
template<class T> inline T powerM(T a,T b){if (b==0) return 1;
  T tmp = powerM(a,b/2); if (b%2==0) return tmp*tmp%MOD; else return tmp*tmp%MOD*a%MOD; }

int main() {
  int q; cin >>q;
  vector<vector<int>> dp;
  rep(query, q){
    string s,t; cin >>s >>t;
    int n = s.size(), m = t.size();
    dp.assign(n+1, vector<int>(m+1, 0));
    // dp[i][j]...sのi文字目まで、tのj文字目までの最長共通部分列の長さ
    for (int i=0; i<n; i++){
      for (int j=0; j<m; j++){
        if (s.at(i) == t.at(j)) chmax(dp[i+1][j+1], dp[i][j] + 1);
        chmax(dp[i+1][j+1], dp[i][j+1]);
        chmax(dp[i+1][j+1], dp[i+1][j]);
      }
    }
    cout <<dp[n][m] <<endl;
  }
}

C++: #include <iostream>
#include <list>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <algorithm>
#include <cmath>
#include <string>
using namespace std;
typedef long long lli;
typedef vector<lli> vll;
typedef vector<bool> vbl;
typedef vector<vector<lli> > mat;
typedef vector<vector<bool> > matb;
typedef vector<string> vst;
typedef pair<lli,lli> pll;
typedef pair<double,double> pdd;

lli n;
string x;
string y;

mat dp;

int main(){
    cin >> n;
    for(lli i = 0;i < n;i++){
        cin >> x >> y;
        dp = mat(x.size()+2,vll(y.size()+2));
        for(lli i = 0;i <= x.size();i++){
            for(lli j = 0;j <= y.size();j++){
                dp[i+1][j] = max(dp[i+1][j],dp[i][j]);
                dp[i][j+1] = max(dp[i][j+1],dp[i][j]);
                if(x[i] == y[j]) dp[i+1][j+1] = max(dp[i+1][j+1],dp[i][j]+1);
            }
        }
        cout << dp[x.size()][y.size()] << endl;
    }
    return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
static const int N=1001;
int lcs(string& X,string& Y){
  int c[N][N] = {};
  int m=X.size();
  int n=Y.size();

  int max1=0;
  X=' '+X;
  Y=' '+Y;

  //for(int i=1;i<=m;i++){
  //  c[i][0]=0;
  //}
  //for(int j=1;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]);
      }
      max1=max(max1,c[i][j]);
    }
  }
  return max1;
}

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<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(2000, vector<int>(2000));
		cin >> s >> t;
		dp[0][0] = (s[0] == t[0]);
		for (int i = 1; i < s.size(); i++)dp[i][0] = (bool)(dp[i-1][0] + (s[i] == t[0]));
		for (int j = 1; j < t.size(); j++)dp[0][j] = (bool)(dp[0][j-1] + (s[0] == t[j]));
		
		for (int i = 1; i < s.size(); i++) {
			for (int j = 1; j < t.size(); j++) {
				if (s[i] == t[j])dp[i][j] = dp[i-1][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++: #define _CRT_SECURE_NO_WARNINGS
#define _USE_MATH_DEFINES
#include <iostream>
#include <algorithm>
#include <string>
#include <cstring>
using namespace std;
const int num = 1001;
int lg[num + 1][num + 1];
int main() {
	int w;
	string s, t;
	cin >> w;
	for (int i = 0; i < w; i++) {
		cin >> s;
		cin >> t;
		int n = s.size();
		int m = t.size();
		for (int i = 0; i < n; i++) lg[i][0] = 0;
		for (int i = 0; i < m; i++) lg[0][i] = 0;
		for (int i = 0; i < n; i++)
			for (int j = 0; j < m; j++) {
				if (s[i] == t[j]) lg[i + 1][j + 1] = lg[i][j] + 1;
				else lg[i + 1][j + 1] = max(lg[i][j + 1], lg[i + 1][j]);
			}
		cout << lg[n][m] << endl;
	}
	return 0;
	/*int n, m;
	char s[num], t[num];
	cin >> n >> m;
	for (int i = 0; i < n; i++) cin >> s[i];
	for (int i = 0; i < m; i++) cin >> t[i];
	for (int i = 0; i < n; i++) lg[i][0] = 0;
	for (int i = 0; i < m; i++) lg[0][i] = 0;
	for (int i = 0; i < n; i++)
		for (int j = 0; j < m; j++) {
			if (s[i] == t[j]) lg[i + 1][j + 1] = lg[i][j] + 1;
			else lg[i + 1][j + 1] = max(lg[i][j + 1], lg[i + 1][j]);
		}
	cout << lg[n][m] << endl;
	return 0;*/
}

C++: #include <algorithm>
#include <iostream>
#include <string>
#include <cassert>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <deque>
#include <iomanip>
#include <limits>
#include <map>
#include <queue>
#include <stack>
#include <vector>

#define FOR(i,k,n) for(int (i) = (k); (i) < (n); ++(i))
#define rep(i,n) FOR(i,0,n)
#define pb push_back
#define all(v) begin(v), end(v)
#define debug(x) cerr << #x << ": " << x << endl
#define debug2(x,y) cerr << #x << ": " << x << ", " << #y << ": " << y << endl

using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> i_i;
typedef pair<i_i, int> p_i;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
template<class T> using vv=vector<vector<T>>;
typedef deque<int> di;
typedef deque<deque<int>> ddi;


int main() {
    int q;
    cin >> q;
    rep(i,q) {
        string x,y;
        cin >> x >> y;
        int dp[1050][1050];
        rep(i,(int)x.length()) {
            rep(j,(int)y.length()) {
                if(i == 0 || j == 0) {
                    if(x[i] == y[j]) {
                        dp[i][j] = 1;
                    }
                } else if(x[i] == y[j]) {
                    dp[i][j] = dp[i-1][j-1] +1;
                } else {
                    dp[i][j] = max(dp[i-1][j],dp[i][j-1]);
                }
            }
        }
        cout << dp[x.length()-1][y.length()-1] << endl;
    }
	return 0;
}

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

int Longest(string x, string y) {
  int L[1001][1001];
  int maxl = 0;
  int xlen = x.size();
  int ylen = y.size();

  x = ' ' + x;
  y = ' ' + y;

  for (int i = 1; i <= xlen; i++) L[i][0] = 0;
  for (int j = 1; j <= ylen; j++) L[0][j] = 0;

  for (int i = 1; i <= xlen; i++) {
    for (int j = 1; j <= ylen; j++) {
      if (x[i] == y[j])
        L[i][j] = L[i-1][j-1] + 1;
      else
        L[i][j] = max(L[i][j-1], L[i-1][j]);

      maxl = max(maxl, L[i][j]);
    }
  }

  return maxl;
}

int main() {
  string X, Y;
  int n;

  cin >> n;

  for (int i = 0; i < n; i++) {
    cin >> X;
    cin >> Y;
    cout << Longest(X, Y) << endl;
  }

  return 0;
}