Go: package main

import (
	"bufio"
	"os"
	"strconv"
	"fmt"
)

func max(x, y int) int {
	if x < y {
		return y
	} else {
		return x
	}
}

/*********************************************************************
長さmの列X_(m)と長さnの列Y_(n)の最長共通部分列LCSは、
	(1)X[m] == Y[n]ならば、X_(m-1)とY_(n-1)のLCSにX[m]を繋げたもの
	(2)X[m] != Y[n]ならば、X_(m-1)とY_(n)のLCSもしくはX_(m)とY_(n-1)のLCS
	のいずれかのうち長い方

c[m+1][n+1]：c[i][j]にX_(i)とY_(j)のLCSの長さを格納する二次元配列
*********************************************************************/

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Scan()
	n, _ := strconv.Atoi(scanner.Text())
	for i := 0; i < n; i++ {
		scanner.Scan()
		s1 := scanner.Text()
		scanner.Scan()
		s2 := scanner.Text()
		s1, s2 = s1 + " ", s2 + " "
		c := make([][]int, len(s1))
		for i := range c {
			c[i] = make([]int, len(s2))
		}

		LCS := 0

		for i := 1; i < len(s1); i++ {
			for j := 1; j < len(s2); 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])
				}
				LCS = max(LCS, c[i][j])
			}
		}
		fmt.Println(LCS)
	}
}

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

int main(){
    int N;
    cin>>N;
    if(N>20){
        for(int i=0;i<N;i++){
            string inp1,inp2;
            cin>>inp1;
            cin>>inp2;
            int dp[101][101]={};
            for(int j=1;j<=inp1.size();j++){
                for(int k=1;k<=inp2.size();k++){
                    if(inp1[j]==inp2[k]){
                        dp[j][k]=dp[j-1][k-1]+1;
                    }else{
                        dp[j][k]=max(dp[j-1][k],dp[j][k-1]);
                    }
                }
            }
            cout<<dp[inp1.size()][inp2.size()]<<endl;
        }
    }else{
        for(int i=0;i<N;i++){
            string inp1,inp2;
            cin>>inp1;
            cin>>inp2;
            int dp[1001][1001]={};
            for(int j=1;j<=inp1.size();j++){
                for(int k=1;k<=inp2.size();k++){
                    if(inp1[j]==inp2[k]){
                        dp[j][k]=dp[j-1][k-1]+1;
                    }else{
                        dp[j][k]=max(dp[j-1][k],dp[j][k-1]);
                    }
                }
            }
            cout<<dp[inp1.size()][inp2.size()]<<endl;
        }
    }
    
    return 0;
}

C++: #include<cstdio>
#include<iostream>
#include<string>
#include<algorithm>
using namespace std;
#define N 1000

int lcs(string X,string Y){
  int c[N+1][N+1];
  int m=X.size();
  int n=Y.size();
  int maxcost=0;
  X=' '+X;
  Y=' '+Y;
  for(int i=1;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]);
      }
      maxcost=max(maxcost,c[i][j]);
    }
  }
  return maxcost;
}

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

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

constexpr int MAX_XY = 1000;

int lx, ly, q, dp[MAX_XY][MAX_XY];
std::string sx, sy;

void fill_dp(){
    for(int i = 1; i <= lx; ++i){
        for(int j = 1; j <= ly; ++j){
            if(sx[i - 1] == sy[j - 1]) dp[i][j] = dp[i - 1][j - 1] + 1;
            else dp[i][j] = std::max(dp[i - 1][j], dp[i][j - 1]);
        }
    }
}

void solve(){
    fill_dp();
    std::cout << dp[lx][ly] << std::endl;
    return;
}

int main(){
    std::cin >> q;
    
    for(int i = 0; i < q; ++i){
        std::cin >> sx >> sy;
        lx = sx.size(), ly = sy.size();
        solve();
    }
    return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <cstring>
using namespace std;
#define len_max 1000


string X;
string Y;
int dp[len_max+1][len_max+1];

int lcs(){
    int m = X.length();
    int n = Y.length();

    X = ' ' + X;//ずらす
    Y = ' ' + Y;
    

    for(int i = 0; i <= n; i++){
        dp[i][0] = 0;
    }

    for(int i = 0; i <= m; i++){
        dp[0][i] = 0;
    }

    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= m; j++){
            if(Y[i] == X[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[n][m];

}


int main(){
    int q;
    cin >> q;

    int ans[q];

    for(int i = 0; i < q; i++){
        cin >> X >> Y;
        //printf("%d\n", lcs());
        ans[i] = lcs();
    }

    for(int i = 0; i < q; i++){
        printf("%d\n", ans[i]);
    }

    return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
const int MAXL = 1e3+7;
char s1[MAXL];
char s2[MAXL];
int dp[MAXL][MAXL];
int maxLCS(char s1[], char s2[]){
    int l1 = strlen(s1);
    int l2 = strlen(s2);
    int i;
    for(i = 0; i <= l1; i++){
        dp[0][i] = 0;
    }
    for(i = 0; i <= l2; i++){
        dp[i][0] = 0;
    }
    int j;
    for(i = 1; i <= l2; i++){
        for(j = 1; j <= l1; j++){
            int max_k = max(dp[i-1][j], dp[i][j-1]);
            if(s1[j-1] == s2[i-1]) max_k = max(max_k, dp[i-1][j-1]+1);
            else max_k = max(max_k, dp[i-1][j-1]);
            dp[i][j]= max_k;
        }
    }
    return dp[l2][l1];
}
int main(){
//    freopen(".../in.txt", "r", stdin);
    int q;
    scanf("%d", &q);
    for(int i = 0; i < q; i++){
        scanf("%s", s1);
        scanf("%s", s2);
        int q = maxLCS(s1, s2);
        printf("%d\n", q);
    }
    return 0;
}

C++: #include <iostream>
#include <stdio.h>
#include <string>
#include <cmath>

#define MAX_LENGTH 1000
#define NIL -1
using namespace std;
//think easy make easy

int q;//num of datasets
string X;
string Y;
char map[MAX_LENGTH+1][MAX_LENGTH+1];

int findMaxLength(int x,int y){//x:Xの終端.y:Yの終端(0オリジン)
	int val;

	if(x < 0 || y < 0) return 0;

	if(map[x][y] == NIL){
		if(X.at(x) == Y.at(y)){
			val = findMaxLength(x-1,y-1) +1;
		}else{
			val = max(findMaxLength(x-1,y),findMaxLength(x,y-1));
		}
		map[x][y] = val;//メモ
		return val;
	}else return map[x][y];
}

int main(){
	
	scanf("%d",&q);

	for(int i=0;i<q;i++){
		cin >>X; cin >> Y;
		for(int i=0;i<X.size();i++){
			for(int j=0;j<Y.size();j++){
				map[i][j] = NIL;
			}
		}
	
		cout <<findMaxLength(X.size()-1,Y.size()-1) <<endl;
	}

	return 0;
}

C++: #include <algorithm>
#include<iostream>
#include<vector>
#include<list>
#include<map>
#include<set>
#include<string>
#include <sstream>

#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<limits.h>
using lll = long long;
using ull = unsigned long long;
using namespace std;
int dp[1001][1001];
int lcs(string x,string y){
  int m,n;
  lll ii,jj,kk;
  
  m = x.size();
  n = y.size();
  memset(dp,0,sizeof(dp));
  int maxl = 0;

  for(ii=0;ii<m;ii++){
    for(jj=0;jj<n;jj++){
      if(x[ii] == y[jj]){
        dp[ii+1][jj+1] = dp[ii][jj] + 1;
      }
      else{
        dp[ii+1][jj+1] = max(dp[ii][jj+1],dp[ii+1][jj]);
      }

      maxl = max(maxl,dp[ii+1][jj+1]);
      
    }
  }
  return maxl;
}

int main(){
  lll ii,jj,kk;
  vector<int> ret;
  int q;
  string x,y;

  cin >> q;

  for(ii=0;ii<q;ii++){
    cin >> x >> y;
    cout << lcs(x,y) << endl;
  }

  return 0;
}

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

static const int N = 100;

int main() {
  int n, p[N + 1], m[N + 1][N + 1];
  cin >> n;
  for ( int i = 1; i <= n; i++ ) {
    cin >> p[i - 1] >> p[i];
  }

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

  for ( int l = 2; l <= n; l++ ) {
    for ( int i = 1; i <= n - l + 1; i++ ) {
      int j = i + l - 1;
      m[i][j] = (1 << 21);
      for ( int k = i; k <= j - 1; k++ ) {
        m[i][j] = min(m[i][j], m[i][k] + m[k + 1][j] + p[i - 1] * p[k] * p[j]);
      }
    }
  }

  cout << m[1][n] << endl;

  return 0;
}