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 <algorithm>
#include <iostream>
#include <string>
using namespace std;
#define MAX 1000


int solve(string x, string y) {
  int lcs[MAX + 1][MAX + 1];
  int xl = x.size();
  int yl = y.size();

  int i, j;
  for (i = 0; i < xl; i++)
    lcs[i][0] = 0;
  for (j = 0; i < yl; j++)
    lcs[0][j] = 0;

  // shift
  x = " " + x;
  y = " " + y;

  int maxlcs = 0;
  for (i = 1; i <= xl; i++) {
    for (j = 1; j <= yl; j++) {
      if (x[i] == y[j]) {
        lcs[i][j] = lcs[i - 1][j - 1] + 1;
      } else {
        int a = lcs[i][j - 1];
        int b = lcs[i - 1][j];
        lcs[i][j] = max(a, b);
      }
      maxlcs = max(maxlcs, lcs[i][j]);
    }
  }
  return maxlcs;
}

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

C++: #include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <string>
#include <cstring>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <algorithm>

using namespace std;

// ---------------------
// repetition
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)

// debug
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;

// ---------------------
#define INF 922337203685477580
typedef long long ll;

int dp[1000][1000];

int main() {
  int q;
  cin >> q;
  REP(loop, q) {
    char S[1000], T[1000];
    cin >> S >> T;

    REP(i, strlen(S)) {
      REP(j, strlen(T)) {
        dp[i][j] = 0;
      }
    }
    for (int i = 0; i < strlen(S); i++) {
      for (int j = 0; j < strlen(T); j++) {
        if (S[i] == T[j]) {
          dp[i + 1][j + 1] = dp[i][j] + 1;
        } else {
          dp[i + 1][j + 1] = max(dp[i + 1][j], dp[i][j + 1]);
        }
      }
    }
    cout << dp[strlen(S)][strlen(T)] << endl;
  }

  return 0;
}

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

int main() {
    int q;
    cin >> q;
    for(int i=0; i<q; i++) {
        string A,B;
        cin >> A >> B;
        int aSize = A.size();
        int bSize = B.size();
        int c[aSize+1][bSize+1];
        for(int i=0; i<=aSize; i++) c[i][0] = 0;
        for(int j=0; j<=bSize; j++) c[0][j] = 0;
        for(int i=1; i<=aSize; i++) {
            for(int j=1; j<=bSize; j++) {
                if(A[i-1] == B[j-1]) c[i][j] = c[i-1][j-1] + 1;
                else c[i][j] = max(c[i-1][j], c[i][j-1]);
            }
        }
        cout << c[aSize][bSize] << endl;
    }
}

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();

  for (int i = 0; i < m; i++) {
    for (int j = 0; j < n; j++) {
      if (X[i] == Y[j]) {
        if (i == 0 || j == 0) 
          c[i][j] = 1;
        else 
          c[i][j] = c[i - 1][j - 1] + 1;
      }
      else {
        if (i == 0 || j == 0) 
          c[i][j] = 0;
        else 
          c[i][j] = max(c[i][j - 1], c[i - 1][j]);
      }
    }
  }
  return c[m - 1][n - 1];
}

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 <algorithm>
#include <cstring>
using namespace std;
const int MAX = 1001;

int main(){
  int dp[MAX][MAX];
  int t;

  cin >> t;
  while(t--){
    string a,b;

    memset(dp,0,sizeof(dp));

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

  return 0;
}

C++: #include <iostream>
#include <stdio.h>
#include <algorithm>
#include <cstring>
#include <vector>
#include <string>
using namespace std;

char str1[1010], str2[1010];
int f[1010][1010];
int main(){
	int q = 0;
	cin >> q;
	while (q--) {
		scanf("%s%s", str1 + 1, str2 + 1);
		int m = strlen(str1+1);
		int n = strlen(str2+1);
		f[0][0] = 0;
		for (int i = 1; i <= m; i++) {
			for (int j = 1; j <= n; j++) {
				if (str1[i] == str2[j]) 
					f[i][j] = f[i-1][j-1]+1;
				else f[i][j] = 0;
				f[i][j] = max(f[i][j],f[i-1][j]);
				f[i][j] = max(f[i][j],f[i][j-1]);

			}
		}
		printf("%d\n", f[m][n]);
		
	
	}
	return 0;
    
}

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

using namespace std;

int lcs (string x, string y) {

    int m, n, c[1001][1001], i, j, maxl = 0;

    m = x.size();
    n = y.size();

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

    for (i = 0; i <= m; i++) {
        c[i][0] = 0;
    }
    for (j = 1; j <= n; j++) {
        c[0][j] = 0;
    }

    for (i = 1; i <= m; i++) {
            for (j = 1; j <= n; j++) {

                if (x[i - 1] == y[j - 1]) {
                    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 () {

    int N, i;
    string x, y;

    cin >> N;

    for (i = 0; i < N i++) {
        cin >> x >> y;
        cout << lcs (x, y) << endl;

    }

    return 0;

}

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

int main(){
  int n;
  char x[1001],y[1001];
  int dp[1002][1002];
  


  //load n;
  cin >>n;
  for(int i=0;i<n;i++){
    //initialize
    for(int i=0;i<1002;i++){
      for(int j=0;j<1002;j++){
	dp[i][j]=0; 
      }
    }
    //load string
    scanf("%s",x);
    scanf("%s",y);
    //dp
    for(int j=0;j<strlen(x);j++){
      for(int k=0;k<strlen(y);k++){
	if(x[j]==y[k]){
	  dp[j+1][k+1]=dp[j][k]+1;
	}

	else{
 
	  if(dp[j][k+1]>dp[j+1][k]){
	    dp[j+1][k+1]=dp[j][k+1];
	  }

	  else{
	    dp[j+1][k+1]=dp[j+1][k];
	  }
	}
      }
    }

    //print
    cout <<dp[strlen(x)][strlen(y)]<<endl;
  }



  return 0;
}

C++: #include <iostream>

using namespace std;

int lcs(string X, string Y) {
  X = ' ' + X;
  Y = ' ' + Y;
  int memo[1010][1010];
  int maxl = 0;

  // 初期化 境界条件を考える必要がなくなる
  for (int i = 0; i < X.size(); i++) memo[i][0] = 0;
  for (int j = 0; j < Y.size(); j++) memo[0][j] = 0;

  for (int i = 1; i < X.size(); i++) {
    for (int j = 1; j < Y.size(); j++) {
      if (X[i] == Y[j]) {
        //cout << "count up!" << endl;
        memo[i][j] = memo[i-1][j-1] + 1;
      } else {
        memo[i][j] = max(memo[i-1][j], memo[i][j-1]);
      }
      maxl = max(maxl, memo[i][j]);
    }
  }
  return maxl;
}

int main() {
  int q; cin >> q;
  for (int i = 0; i < q; i++) {
    string X, Y; cin >> X >> Y;
    cout << lcs(X, Y) << endl;
  }
}