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 <cstring>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <map>
#include <cmath>
#include <queue>
#include <utility>
#include <functional>
#include <deque>
#include <cctype>
#include <stack>
#include <bitset>

using ll = long long;
typedef unsigned long long ull;
typedef std::pair<ll, ll>P;

ll gcd(ll a, ll b) {
	if (b == 0) return a;
	return gcd(b, a%b);
}
ll lcm(ll a, ll b) {
	ll g = gcd(a, b);
	return a / g * b;
}

const ll mod = 1000000007;
const ll INF = 1 << 30;
const ll INF2 = 9000000000000000000LL;
bool fl = true;
int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 };
std::string abc = "abcdefghijklmnopqrstuvwxyz";
struct edge { ll to, cost; };
struct edge1 { ll from, to, cost; };
double pai = 3.141592653589793;

int main() {
	int q;
	std::cin >> q;
	for (int i = 0;i < q;i++) {
		std::string s, t;
		std::cin >> s >> t;
		int dp[1010][1010];
		for (int j = 0;j < s.size();j++) {
			for (int k = 0;k < t.size();k++) {
				if (s[j] == t[k])dp[j + 1][k + 1] = dp[j][k] + 1;
				else dp[j + 1][k + 1] = std::max(dp[j][k + 1], dp[j + 1][k]);
			}
		}
		std::cout << dp[s.size()][t.size()] << std::endl;
	}
}

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

int N;
string seq1,seq2;

int S_search(int a, int b){
	if (a<=0 || b<=0){
		return 0;
	}else if (seq1[a-1] == seq2[b-1]){
		return S_search(a-1,b-1)+1;
	}else{
		return max(S_search(a-1, b),S_search(a, b-1));
	}
}

int main() {
	cin >> N;
	for (int M=0; M<N; M++){
		cin >> seq1 >> seq2;
		cout << S_search(seq1.length(), seq2.length()) << endl;
	}
	
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <string>
#define rep(i, n) for(int i = 0; i < n; i++)
using namespace std;

int main(){
  int q;
  cin >> q;
  string x, y;
  rep(_, q){
    cin >> x >> y;
    int n = x.size();
    int m = y.size();
    vector<vector<int>> dp(n+1, vector<int>(m+1, 0));
    rep(i, n)rep(j, m){
      if (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]);
      dp[i+1][j+1] = max(dp[i+1][j+1], dp[i][j+1]);
    }
    cout << dp[n][m] << endl;
  }
  
  return 0;
}

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

int Q;
string X,Y;
int N,M;
int dp[1001][1001];

int solve(int xd,int yd){
  if( dp[xd][yd] != -1 ) return dp[xd][yd];
  if( xd==N || yd==M ) return dp[xd][yd] = 0;
  int ret;
  if( X[xd] == Y[yd] )
    ret = solve( xd+1,yd+1 ) + 1;
  else
    ret = max( solve(xd+1,yd), solve(xd,yd+1) );

  return dp[xd][yd] = ret;
}

int main(){
  cin >> Q;
  for(int ttt=0;ttt<Q;ttt++){
    cin >>X >> Y;
    N = X.size(); M = Y.size();
    memset(dp,-1,sizeof(dp));
    cout << solve(0,0) << endl;
  }
}

C++: #define _CRT_SECURE_NO_WARNINGS
#include <cstdio>
#include <cstdlib>
#include <string>
#include <iostream>
#include <queue>

using namespace std;

const char *X, *Y;
int X_length, Y_length;

int table_lcs[1001][1001];

int lcs(int x_begin, int y_begin) {
	int i, j, to;
	int max = 0;
	int v_lcs;
	bool alreadySeenTable[256];
	if (table_lcs[x_begin][y_begin] != -1) {
		return table_lcs[x_begin][y_begin];
	}
	
	for (i = 0; i < 256; i++) {
		alreadySeenTable[i] = false;
	}
	i = x_begin;
	to = Y_length-1;
	while(i <= X_length-1) {
		j = y_begin;
		if (alreadySeenTable[X[i]] == true) {
			i++;
			continue;
		}
		bool found = false;
		while (j <= to) {
			if (X[i] == Y[j]) {
				v_lcs = lcs(i + 1, j + 1) + 1;
				if (v_lcs > max) {
					max = v_lcs;
				}
				found = true;
				break;
			}
			else {
				j++;
			}
		}
		if (found == false) {
			alreadySeenTable[X[i]] = true;
			i++;
		}
		else {
			alreadySeenTable[X[i]] = true;
			i++;
			to = j - 1;
		}
	}
	return table_lcs[x_begin][y_begin] = max;
}

int main() {

	int N;
	cin >> N;
	string stringX, stringY;

	for (int i = 1; i <= N; i++) {
		for (int i = 0; i < 1001; i++) {
			for (int j = 0; j < 1001; j++) {
				table_lcs[i][j] = -1;
			}
		}
		cin >> stringX >> stringY;
		X = stringX.c_str();
		X_length = stringX.size();
		Y = stringY.c_str();
		Y_length = stringY.size();
		printf("%d\n", lcs(0, 0));
	}
	return 0;
}

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

#define int long long
#define vvi vector<vector<int>>
#define vec vector
#define pq priority_queue
#define all(v) (v).begin(), (v).end()
#define uniqueV(x) sort(x.begin(), x.end()); x.erase(unique(x.begin(), x.end()), x.end());
#define rep(i, n) for (int (i) = (0); (i) < (n); ++(i))
#define repp(i, m, n) for (int (i) = (m); (i) < (n); ++(i))
#define dbg(x) cerr << #x << ": " << x << endl;
#define dbg2(x, y) cerr<<"("<<#x<<", "<<#y<<") = "<<"("<<x<<", "<<y<<")"<<endl;
#define dbg3(x, y, z) cerr<<"("<<#x<<", "<<#y<<", "<<#z<<") = "<<"("<<x<<", "<<y<<", "<<z<<")"<<endl;
#define dbgB(value, size) cerr<<#value<<": "<<bitset<size>(value) << endl;
#define line() cerr << "---------------" << endl;

const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const double PI = 3.14159265358979323846;

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a = b; return 1; } return 0; }

template<typename T>
void printA(vector<T> &printArray, char between = ' ') {
   int paSize = printArray.size();
   for (int i = 0; i < paSize; i++) { cerr << printArray[i] << between;}
   if (between != '\n') {cerr << endl;}
}

// ------------------------------------------------------------------------------------------

int dp[11111][11111];

void print(string s, string t) {
   int n = s.size(), m = t.size();
   rep (i, n+1) {
      rep (j, m+1) {
         printf("%2lld ", dp[i][j]);
      }
      puts("");
   }
}

int dist(string s, string t) {
   fill(dp[0], dp[1010], 1 << 28);
   dp[0][0] = 0;
   dp[0][0] = 0;
   int N = s.size(), M = t.size();
   rep (i, N+1) dp[i][0] = i;
   rep (i, M+1) dp[0][i] = i;

   rep (i, N) {
      rep (j, M) {
         dp[i+1][j+1] = min({dp[i][j+1]+2, dp[i+1][j]+2, dp[i][j] + (s[i] != t[j])});
      }
   }

   cout << dp[N][M] << endl;
}

int lcs(string s, string t) {
   for (int i = 0; i < s.size(); i++) {
      for (int j = 0; j < t.size(); j++) {
         dp[i+1][j+1] = (s[i] == t[j] ? dp[i][j]+1 : max(dp[i][j+1], dp[i+1][j]));
      }
   }
   return dp[s.size()][t.size()];
}

signed main() {
   int n;
   cin >> n;

   while (n--) {
      string s, t;
      cin >> s >> t;

      cout << lcs(s, t) << endl;
   }

   return 0;
}

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

int lcs (string x, string y) {
	int m = x.length();
	int n = y.length();
	int maxl = 0;
	vector<vector<int>> c(m + 1, vector<int>(n + 1, 0));

	x = ' ' + x;
	y = ' ' + y;
	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() {
	int q; cin >> q;
	for(int cnt = 0; cnt < q; cnt++){
		string x, y;
		cin >> x >> y;
		cout << lcs(x, y) << endl;
	}
	return 0;
}