Go: // AOJ ALDS1_10_C: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C

package main

import (
	"fmt"
)

func main() {
	var dataNum int
	var s1, s2 string

	fmt.Scanf("%d", &dataNum)

	for i := 0; i < dataNum; i++ {
		fmt.Scanf("%s", &s1)
		fmt.Scanf("%s", &s2)

		lcs := make([][]int, len(s1)+1)
		for j := 0; j < len(s1)+1; j++ {
			lcs[j] = make([]int, len(s2)+1)
		}

		for m, vs1 := range s1 {
			for n, vs2 := range s2 {
				if vs1 == vs2 {
					lcs[m+1][n+1] = lcs[m][n] + 1
				} else if lcs[m+1][n] > lcs[m][n+1] {
					lcs[m+1][n+1] = lcs[m+1][n]
				} else {
					lcs[m+1][n+1] = lcs[m][n+1]
				}
			}
		}

		// Answer
		fmt.Println(lcs[len(s1)][len(s2)])
	}
}

C++: #include<iostream>
#include<string>
using namespace std;
int lcs[1001][1001];
/*int lcs(string a,string b)
{
    if(a.length()<=0||b.length()<=0)
    {
        return 0;
    }
    else if(a[a.length()-1]==b[b.length()-1])
    {
        return 1+lcs(a.substr(0,a.length()-1),b.substr(0,b.length()-1));
    }
    else
    {
        return max(lcs(a.substr(0,a.length()),b.substr(0,b.length()-1)),lcs(a.substr(0,a.length()-1),b.substr(0,b.length())));
    }
};*/
int main()
{
    int num;
    cin>>num;
    for(int l=0;l<num;l++)
    {

        for(int i=0;i<1001;i++)
            for(int j=0;j<1001;j++)
                lcs[i][j]=0;
        string a,b;
        cin>>a>>b;
        //cout<<lcs(a,b)<<endl;
        for(int i=0;i<a.length()+1;i++)
        {
            for(int j=0;j<b.length()+1;j++)
            {
                if(i==0||j==0)
                {
                    lcs[i][j]=0;
                }
                else if(a[i-1]==b[j-1])
                {
                    lcs[i][j]=lcs[i-1][j-1]+1;
                }
                else
                {
					if(lcs[i][j-1]>lcs[i-1][j])
						lcs[i][j]=lcs[i][j-1];
					else
						lcs[i][j]=lcs[i-1][j];
                }
            }
        }
        cout<<lcs[a.length()][b.length()]<<endl;
    }
}

C++: #include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <unordered_map>
#include <vector>
#include <string.h>
#include <set>

using namespace std;

#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl

template<class T> void printvec(const vector<T>& v) {
  for (auto x : v) { cout << x << " "; }
  cout << endl;
}
template<class T> void printtree(const vector< vector<T> >& tree) {
  for (long long i = 0; i < tree.size(); ++i) {
    cout << i + 1 << ": "; printvec(tree[i]);
  }
}
template<class T, class U> void printmap(const map<T, U>& mp) {
  for (auto x : mp) { cout << x.first << "=>" << x.second << endl; }
}

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }

#define rep(i, n) for(ll i = 0; i < n; ++i)
#define all(s) s.begin(), s.end()
#define sz(x) (ll)(x).size()
#define fr first
#define sc second
#define mp make_pair
#define pb push_back
#define eb emplace_back

typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll, ll> P;
typedef tuple<ll, ll, ll> triple;
typedef double D;
typedef vector<ll> vl;
typedef vector<P> vp;

const ll INF = 1e9;
const ll MOD = 1000000007;  // 1e9 + 7

int main(int argc, char** argv) {
  cin.tie(NULL);
  cout.tie(NULL);
  ios_base::sync_with_stdio(false);
  //cout << setprecision(10) << fixed;

  ll q;
  cin >> q;
  rep(iter,q) {
    string s;
    string t;
    cin >> s >> t;
    ll n = s.size();
    ll m = t.size();
    // dp[i][j] .. LCS using [0,i) and [0,j)
    vector<vector<ll>> dp(n+1, vector<ll>(m+1));
    rep(i,n)rep(j,m) {
      chmax(dp[i+1][j+1], dp[i][j]);
      chmax(dp[i+1][j+1], dp[i][j+1]);
      chmax(dp[i+1][j+1], dp[i+1][j]);
      if (s[i] == t[j]) {
        chmax(dp[i+1][j+1], dp[i][j]+1);
      }
    }
    cout << dp[n][m] << endl;
  }
}

C++: #include <iostream>
#include <vector>
#include <string>
#include <cmath>
#include <set>
#include <algorithm>
#include <array>
#include <complex>
#include <utility>
#include <map>
#include <inttypes.h>

int LCS(std::string s,std::string t){
    int n,m,c[n+1][m+1];
    n=s.size();
    m=t.size();
    int maxlen=0;
    for(int i=0;i<n;i++){
        c[i][0]=0; 
    }
    for(int i=0;i<m;i++){
        c[0][i]=0;
    }
    for(int i=1;i<n;i++){
        for(int j=1;j<m;j++){
            if(s[i]==t[i]){
                c[i][j]=c[i-1][j-1]+1;
            }else{
                c[i][j]=std::max(c[i-1][j],c[i][j-1]);
            }
            maxlen=std::max(c[i][j],maxlen);
        }
    }
    return maxlen;
}
int main(){
	int N;
    
    std::cin >> N;
    std::string s1,s2;
    for(int i=0;i<N;i++){
        std::cin >> s1 >> s2;
        std::cout << LCS(s1,s2) <<std::endl;
    }
        
    
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <string>
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=0; 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<cstdio>
#include<cstring>
using namespace std;

int main(){
  int n;
  char x[10000],y[10000];
  int dp[10010][10010];
  //load n;
  cin >>n;
  for(int i=0;i<n;i++){
    //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];
	  }


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



  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
typedef long long ll;

int dp[1001][1001];

int main() {
  int q;
  cin >> q;
  for (int i = 0; i < q; i++) {
    string x, y;
    cin >> x >> y;
    int xlen = x.length(), ylen = y.length();
    for (int j = 0; j <= ylen; j++) dp[0][j] = 0;
    for (int i = 1; i <= xlen; i++) {
      dp[i][0] = 0;
      for (int j = 1; j <= ylen; j++) {
        dp[i][j] = x[i - 1] == y[j - 1] ? dp[i - 1][j - 1] + 1
                                        : max(dp[i - 1][j], dp[i][j - 1]);
      }
    }
    cout << dp[xlen][ylen] << endl;
  }
}

C++: #include <bits/stdc++.h>
#define be(v) (v).begin(),(v).end()
#define pb(q) push_back(q)
typedef long long ll;
using namespace std;
const ll mod=1000000007;
#define doublecout(a) cout<<fixed<<setprecision(10)<<a<<endl;

int main() {
    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(false);
    int q;
    string s,t;
    cin>>q;
    vector<int> v;
    while(q--){
    	cin>>s>>t;
    	int n=s.length(),m=t.length();
    	int dp[n+1][m+1];
    	memset(dp,0,sizeof(dp));
    	for(int i=1;i<=n;i++){
    		for(int j=1;j<=m;j++){
    			dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
    			if(s[i-1]==t[j-1])dp[i][j]=max(dp[i][j],dp[i-1][j-1]+1);
    		}
    	}
    	v.pb(dp[n][m]);
    }
    for(auto& i:v){
    	cout << i<<endl;
    }
    return 0;
}