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<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<iostream>
using namespace std;

#define N_MAX 1000

char X[N_MAX];
char Y[N_MAX];
char LCS[N_MAX][N_MAX];


int longest(int x, int y)
{
    for (int i = 0; i < x+1; i++) {
        for (int j = 0; j < y+1; j++) {
            if (i == 0 || j == 0) {
                LCS[i][j] = 0;
//                printf("0 LCS[%d][%d] = %d\n", i, j, LCS[i][j]);
            }
            else if (X[i] == Y[j]) {
                LCS[i][j] = LCS[i-1][j-1] + 1;
//                printf("1 LCS[%d][%d] = %d\n", i, j, LCS[i][j]);
            }
            else {
                LCS[i][j] = (LCS[i-1][j] > LCS[i][j-1]) ? LCS[i-1][j] : LCS[i][j-1]; 
//                printf("LCS[%d][%d] = %d\n", i, j, LCS[i][j]);
            }
        }
    }

    return LCS[x][y]; 
}

int main() {
    int q;
    int x;
    int y;

    cin >> q;

    for (int i = 0; i < q; i++) {
        scanf("%s", X);
        x = strlen(X);
        scanf("%s", Y);
        y = strlen(Y);
        cout << longest(x, y) << endl;
    }
        
    return 0;
}

C++: // 最長共通部分裂問題

#include <bits/stdc++.h>

#define rep(i, a, n)  for(ll i=a; i<n; i++)
#define per(i, a, n)  for(ll i=n-1; i>=a; i--)
#define fill0(n)  setfill('0') << right << setw(n)
#define all(x)  (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define LONGMAX 1e18
#define INTMAX 1000000000

using namespace std;
typedef long long ll;
typedef pair<ll ,ll> P;
const ll mod = 1e9+7;
const long double EPS = 0.0000000001;


int n;
int main(){
	cin >> n;
	for(int a = 0; a < n; a++){
		string x,y;
		cin >> x;
		cin >> y;

		// dp start
		int W = x.size(); int H = y.size();
		int dp[H+1][W+1] = {0};
		for(int i = 0; i < H+1; i++){
			dp[i][0] = 0;
		}
		for(int i = 0; i < W+1; i++){
			dp[0][i] = 0;
		}
		for(int i = 1; i < H+1; i++){
			for(int j = 1; j < W+1; j++){
				if(x[j-1] == y[i-1]){
					dp[i][j] = max(max(dp[i-1][j-1] + 1, dp[i-1][j]), dp[i][j-1]);
				}else{
					dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
				}
			}
		}
		// cout << endl;
		// for(int i = 0; i < H+1; i++){
		// 	for(int j = 0; j < W+1; j++){
		// 		cout << dp[i][j] << " ";
		// 	}
		// 	cout << endl;
		// }

		cout << dp[H][W] << endl;
	}
}

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

using ll = long long;
using namespace std;

/* initialize */
int lcs(string A, string B){
    int m = A.length(), n = B.length();
    int c[m+1][n+1];
    int maxl = 0;
    A = ' ' + A;
    B = ' ' + B;
    for (int i = 0; i <= m; ++i) c[i][0]=0;
    for (int i = 1; i <= n; ++i) c[0][i]=0;
    for (int i = 1; i <= m; ++i) {
        for (int j = 1; j <= n; ++j) {
            if (A[i]==B[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;
};
/* main */
int main() {
    int n;
    cin >> n;
    string s1, s2;
    for (int i = 0; i < n; ++i) {
        cin >> s1 >> s2;
        int s = lcs(s1, s2);
        cout << s << "\n";
    }
    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 <algorithm>
#include<string>
using namespace std;

static const int N = 1000;
static int dp[N + 1][N + 1];

int lcs(string x, string y)
{
    int m = x.length();
    int n = y.length();
    x = ' ' + x;
    y = ' ' + y;

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

    int res = 0;
    for (int i = 1; i <= m; i++)
    {
        for (int j = 1; j <= n; j++)
        {
            if (x[i] == y[j])
                dp[i][j] = dp[i - 1][j - 1] + 1;
            else
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
        }
    }

    return dp[m][n];
}

int main()
{
    int n;
    cin >> n;
    string x1, x2;
    for (int i = 0; i < n; i++)
    {
        cin >> x1 >> x2;
        cout << lcs(x1, x2) << endl;
    }
    return 0;
}

C++: #include <bits/stdc++.h>

using ll = long long;
using namespace std;
constexpr ll inf = 1e15;
constexpr ll mod = 1e9+7;

ll dp[1001][1001] = {0};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(NULL);

    int Q;
    cin>>Q;
    for (int q = 0; q < Q; q++) {
        string X, Y;
        cin>>X>>Y;

        for (int i = 1; i <= X.length(); i++) {
            for (int j = 1; j <= Y.length(); j++) {
                dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
                if (X[i-1] == Y[j-1]) dp[i][j] = max(dp[i][j], dp[i-1][j-1]+1);
            }
        }
        cout<<dp[X.length()][Y.length()]<<endl;
    }
    return 0;
}

C++: #include<iostream>
#include<string>
#include<algorithm>
using namespace std;
#define MAX 1100

int temp[MAX][MAX];
int main(){
	int q;
	string x, y;
	
	cin>>q;
	
	for(int i = 1; i <= q; i++){
		cin>>x>>y;
		int sx = x.size() ,sy = y.size();
		for(int j = 0; j <= sx; j++)for(int k = 0; k <= sy; k++)temp[j][k] = 0;
		for(int j = 0; j < sx; j++){
			for(int k = 0; k < sy; k++){
				if(x[j] == y[k]){
					temp[j+1][k+1] = max(temp[j][k]+1,temp[j+1][k+1]);
				} else temp[j+1][k+1] = max(temp[j+1][k],temp[j][k+1]);
			}
		}
		cout<<temp[sx][sy]<<endl;
	}
	
	return 0;
}

C++: #include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <climits>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <string>
#include <sstream>
#include <algorithm>
#include <iomanip>
#include <iostream>

#define VARIABLE(x) cerr << #x << "=" << x << endl
#define BINARY(x) static_cast<bitset<16> >(x);
#define if_range(x, w, h) if (w <= x && x <= h)
#define BitCheck(a,b)   (a >> b) & 1
#define BitSet(a,b)       a |= (1 << b)
#define BitunSet(a,b)    a &= ~(1 << b)

int compare_int(const void* a, const void* b) { return *(int*) a - *(int*) b; }

int main() {
	int n, m, a, dp[102][102] = { 0 };
	char s[1001], t[1001];
	scanf("%d", &a);
	for (int k = 0; a > k; k++) {
		scanf("%d %d %s %s", &n, &m, s, t);
		for (int i = 1; n >= i; i++) {
			for (int j = 1; m >= j; j++) {
				if (s[i - 1] == t[j - 1])dp[i][j] = dp[i - 1][j - 1] + 1;
				else dp[i][j] = __max(dp[i - 1][j], dp[i][j - 1]);
			}
		}
		printf("%d\n", dp[n][m]);
	}
	return 0;
}