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>
using namespace std;
#define rep(i,n) for(int (i)=0;(i)<(n);(i)++)
using LL = long long;
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<long> VL;

int lcs(string x, string y) {
  // 二次元配列の初期化
  vector<vector<int>> memo(x.size()+1, vector<int>(y.size()+1));
  for (int i=1; i<x.size()+1; i++) {
    for (int j=1; j<y.size()+1; j++){
      if (x[i-1] == y[j-1]) {
        memo.at(i).at(j) = memo.at(i-1).at(j-1) + 1;
      } else {
        if (memo.at(i).at(j-1) > memo.at(i-1).at(j)) {
          memo.at(i).at(j) = memo.at(i).at(j-1);
        } else {
          memo.at(i).at(j)= memo.at(i-1).at(j);
        }
      }
    }
  }
  return memo.at(x.size()).at(y.size());
}

int main() {
  int n; cin >> n;
  rep(i, n) {
    string x, y; cin >> x >> y;
    cout << lcs(x, y) << endl;
  }
}

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

static const int N = 1000;

int lcs(string X,string Y){
    int c[N+1][N+1];    //c[i][k]???Xi??¨Yk???LCS??¨??????????????????
    int m = X.size();
    int n = Y.size();
    int maxl = 0;
    X = ' ' + X; // X[0]?????????????????\
    Y = ' ' + Y;
    for(int i=1;i<=m;i++) c[i][0] = 0;
    for(int k=1;k<=n;k++) c[0][k] = 0;

    for(int i=1;i<=m;i++){
        for(int k=1;k<=m;k++){
            if(X[i]==Y[k]){
                c[i][k] = c[i-1][k-1] + 1;
            } else {
                c[i][k] = max(c[i-1][k],c[i][k-1]);
            }
            maxl = max(maxl,c[i][k]);
        }
    }

    return maxl;
}

int main(){
    string s1,s2;
    int n; scanf("%d",&n);
    for(int i=0;i<n;i++){
        cin >> s1 >> s2;
        printf("%d\n",lcs(s1,s2));
    }

    return 0;
}

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

using namespace std;


static const int N = 1000;


int lcs(string x, string y) {
    int c[N + 1][N + 1];
    int m = x.size();
    int n = y.size();
    int res = 0;

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

    for (int i = 0; i <= m; i++) c[i][0] = 0;
    for (int i = 0; i <= n; i++) c[0][i] = 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][j - 1], c[i - 1][j]);
            }
            res = max(res, c[i][j]);
        }
    }

    return 0;
}

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<string>
#include<algorithm>
using namespace std;
static const int N = 1000;

int lcs(string X, string Y) {
  int c[N + 1][N + 1];
  int m = X.size();
  int n = Y.size();
  int maxl = 0;
  X = ' ' + X;
  Y = ' ' + Y;
  for ( int i = 0; 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]);
      }
      maxl = max(maxl, c[i][j]);
    }
  }

  return maxl;
}

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 <string>
#include <map>
#include <set>
#include <algorithm>
using namespace std;
#define MAX 100000

static const int N =100;

int lcs(string X,string Y){
  int C[N+1][N+1];
  int m=X.size();
  int n=Y.size();
  int ans=0;
  X= ' '+X;
  Y= ' '+Y;
  for(int i;i<=m;i++)c[i][0]=0;
  for(int j;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]);
      }
      ans=max(ans,c[i][j]);
    }
  
  }
  return ans;
}

int main(){
  string s1,s2;
  int n; cin >> n;
  for(int i=0;i<n;i++){
    cin >> s1>> s2;
    cout << lsc(s1,s2) << endl;
  }
  return 0;
}

C++: //
// Created by 李青坪 on 2018/10/29.
//

#include <cstdio>
#include <algorithm>
#include <string>
#include <iostream>

#define MAXN 150
#define MAXLEN 1000
using namespace std;

int c[MAXLEN+1][MAXLEN+1];

int getSubsequence(string x, string y){
    int i = 0, j = 0;
    while (i <= x.length()){
        while (j <= y.length()){
            if (i == 0 || j ==0){
                c[i][j] = 0;
            } else if (x[i-1] == y[j-1]){
                c[i][j] = c[i-1][j-1] + 1;
            } else if (x[i-1] != y[j-1]){
                c[i][j] = max(c[i-1][j], c[i][j-1]);
            }
            ++j;
        }
        ++i;
        j = 0;
    }
    return c[x.length()][y.length()];
}

int main(){
    int n;
    scanf("%d", &n);
    string x, y;
    for (int i = 0; i < n; ++i) {
        cin >> x >> y;
        printf("%d\n", getSubsequence(x, y));
    }

}
/*
3
abcbdab
bdcaba
abc
abc
abc
bc
 */

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

string lcs(string &s, string &t) {
    auto chmax = [](int& a, int b) { if (a < b) { a = b; return 1; } return 0; };
    int n = s.size(), m = t.size();
    vector<vector<int>> dp(n + 1, vector<int>(m + 1));
    vector<vector<int>> prv(n + 1, vector<int>(m + 1)); // ↓: 0, →: 1, ↘︎: 2
    for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) {
        if (s[i] != t[j]) {
            if (chmax(dp[i + 1][j + 1], dp[i][j + 1])) prv[i + 1][j + 1] = 0;
            if (chmax(dp[i + 1][j + 1], dp[i + 1][j])) prv[i + 1][j + 1] = 1;
        } else {
            if (chmax(dp[i + 1][j + 1], dp[i][j] + 1)) prv[i + 1][j + 1] = 2;
        }
    }
    string res = "";
    while (n > 0 && m > 0) {
        if (prv[n][m] == 0) n--;
        if (prv[n][m] == 1) m--;
        if (prv[n][m] == 2) n--, m--, res += s[n];
    }
    reverse(res.begin(), res.end());
    return res;
}

int main() {
    int T; cin >> T;
    while (T--) {
        string s, t; cin >> s >> t;
        cout << lcs(s, t).size() << endl;
    }
    return 0;
}

C++: #include <iostream>
#include <cstring>

using namespace std;

/**
 *  lcs(m,n) = 
 *  if x[m] == y[n] lcs[m-1,n-1]+1
 *  max(lcs[m-1,n],lcs[m,n-1])
 *
 */

string x, y;

const int N = 1000;

int c[N][N];

int lcs(int m, int n)
{
	if (m == -1 || n== -1) return 0;
	if (x[m] == y[n]) return lcs(m-1,n-1) + 1;
	int & cc = c[m][n];
	if (cc != -1) return cc;
	int xx = lcs(m-1,n);
	int yy = lcs(m,n-1);
	cc = xx > yy ? xx : yy;
	return cc;
}

int main()
{
	int n = 0;
	x.reserve(N);
	y.reserve(N);
	cin >> n; 
	for (int i=0;i<n;i++)
	{
		cin >> x;
		cin >> y;
		cout << lcs(x.size()-1, y.size()-1) << endl;
		x.clear();
		y.clear();
		memset(c, -1, sizeof(c));
	}
}