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++: #pragma GCC optimize ("O3")

#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include <prettyprint.hpp>
#define debug(...)  cerr << "[" << #__VA_ARGS__ << "]: ", d_err(__VA_ARGS__);
#else
#define debug(...) 83;
#endif

void d_err() {
    cerr << endl;
}

template <typename H, typename... T>
void d_err(H h, T... t) {
    cerr << h << " ";
    d_err(t...);
}

template <typename T>
void print(T x) {
    cout << x << "\n";
}

#define ALL(x) (x).begin(), (x).end()
#define FOR(i, m, n) for (int i = (m); i < (n); ++i)
#define REVFOR(i, m, n) for (int i = (n - 1); i >= (m); --i)
#define REP(i, n) FOR(i, 0, n)
#define REVREP(i, n) REVFOR(i, 0, n)
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define bcnt __builtin_popcountll

typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<ll,ll> Pll;
typedef pair<int,int> Pin;

ll INF = 1e16;
int inf = 1e9;
ll MOD = 1e9+7;


int main() {
    cin.tie(0);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(20);

    int q; cin >> q;

    REP(_, q) {
        string x, y; cin >> x >> y;

        vector<vi> dp(x.size() + 1, vi(y.size() + 1, 0));

        REP(i, x.size()) REP(j, y.size()) {
            dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j] + int(x[i] == y[j]));
            dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j+1]);
            dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i+1][j]);
        }

        print(dp[x.size()][y.size()]);
    }

}

C++: #include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}
//BEGIN CUT HERE
int lcs(string s,string t){
  int n=s.size(),m=t.size();
  s+='$';t+='%';
  vector<vector<int> > dp(n+2,vector<int>(m+2,-(n+m)));
  dp[0][0]=0;
  for(int i=0;i<=n;i++){
    for(int j=0;j<=m;j++){
      chmax(dp[i+1][j],dp[i][j]);
      chmax(dp[i][j+1],dp[i][j]);
      chmax(dp[i+1][j+1],dp[i][j]+(s[i]==t[j]));
    }
  }
  return dp[n][m];
}
//END CUT HERE

//INSERT ABOVE HERE
signed ALDS1_10_C(){
  cin.tie(0);
  ios::sync_with_stdio(0);
  int q;
  cin>>q;
  while(q--){
    string s,t;
    cin>>s>>t;
    cout<<lcs(s,t)<<"\n";
  }
  cout<<flush;
  return 0;
}
/*
  verified on 2019/04/07
  http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C&lang=jp
*/

signed main(){
  ALDS1_10_C();
  return 0;
}

C++: #include <bits/stdc++.h>
#define rep(i,a,b) for(int i=int(a);i<int(b);++i)
#define SIZE 1005
#define INF 1000000005LL
//#define INF 1e18
#define MOD 1000000007

using namespace std;
typedef long long int ll;
typedef pair <int,int> P;

int dp[SIZE][SIZE];

void solve(){
  int n,m;
  string X,Y;
  cin >> X >> Y;
  n = X.size();
  m = Y.size();
  fill(dp[0],dp[0]+SIZE,0);
  rep(i,0,n) rep(j,0,m){
    int a=0,b=0,c=0;
    if(i>0)a = dp[i-1][j];
    if(j>0)b = dp[i][j-1];
    if(i>0 && j>0)c = dp[i-1][j-1];
    dp[i][j] = max({a,b,c+(X[i]==Y[j]?1:0)});
  }
  cout << dp[n-1][m-1] << endl;
}

int main(){

  int q;
  cin >> q;
  rep(i,0,q){
    solve();
  }

  return 0;
}

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

int dp[1001][1001];
int q;

void solve(){
  char x[1001],y[1001];
  scanf("%s %s",x,y);
  int lx = strlen(x);
  int ly = strlen(y);
  for(int i=0;i<=lx;i++){
    for(int j=0;j<=ly;j++){
      if(i==0||j==0) dp[i][j] = 0;
      else if(x[i]==y[j]) dp[i][j] = dp[i-1][j-1]+1;
      else dp[i][j] = max(dp[i][j-1],dp[i-1][j]);
    }
  }
  printf("%d\n",dp[lx][ly]);
  return;
}


int main(){
  scanf("%d",&q);
  for(int i=0;i<q;i++) solve();
  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 <cstdio>
#include <iostream>
#include <algorithm>
using namespace std;

int lcs(string s1, string s2) {
    int i, j, ret = 0;
    int n = s1.size();
    int m = s2.size();
    int c[n+1][m+1];
    s1 = ' ' + s1;
    s2 = ' ' + s2;

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

    for (i = 1; i <= n; i++) {
        for (j = 1; j <= m; j++) {
            if (s1[i] == s2[j]) {
                c[i][j] = c[i - 1][j - 1] + 1;
            }
            else {
                c[i][j] = max(c[i - 1][j], c[i][j - 1]);
            }
            ret = max(ret, c[i][j]);
        }
    }
    
    return ret;
}

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

    return 0;
}

C++: // http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C
#include <iostream>
#include <iomanip>
#include <algorithm>
#include <vector>

#define debug(x) cout << #x << "==" << x << endl;

using namespace std;

//??\???
#define MAX_LEN 1000
int N;
int dp[MAX_LEN + 1][MAX_LEN + 1];

void print_dp_table(int n, int m) {
  for(int i = 0; i < n; i++) {
    for(int j = 0; j < m; j++) {
      cout <<setw(2) << dp[i][j];
    }
    cout << "\n";
  }
  cout << "\n";
}

int main() {
  ios::sync_with_stdio(false);

  cin >> N;

  string s1, s2;

  while( cin >> s1 >> s2 ) {

    std::vector<char> a;
    std::vector<char> b;
    for(char& c : s1) {
      a.push_back(c);
    }
    for(char& c : s2) {
      b.push_back(c);
    }


    // dp ????????????????????????
    fill(dp[0], dp[MAX_LEN + 1], 0);

    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 + 1][j], dp[i][j + 1]);
        }
      }
    }

    // print_dp_table(a.size(), b.size());
    cout << dp[a.size()][b.size()] << endl;

  }

  return 0;
}