Go: package main

/*
最長共通部分列
*/

import (
	"bufio"
	"bytes"
	"fmt"
	"log"
	"os"
	"strconv"
	"strings"
)

func larger(l, r int) int {
	if l > r {
		return l
	}
	return r
}

var memo [1001][1001]int

func countLCS(x, y string) int {
	x = " " + x
	y = " " + y
	max := 0
	for xi := 1; xi < len(x); xi++ {
		for yi := 1; yi < len(y); yi++ {
			if x[xi] == y[yi] {
				memo[xi][yi] = memo[xi-1][yi-1] + 1
			} else {
				memo[xi][yi] = larger(memo[xi-1][yi], memo[xi][yi-1])
			}
			max = larger(max, memo[xi][yi])
		}
	}
	return max
}

func main() {
	scanner := makeScanner(1024)
	q := eGetInt(scanner)
	for i := 0; i < q; i++ {
		x := eGetLine(scanner)
		y := eGetLine(scanner)
		fmt.Println(countLCS(x, y))
	}
}

////////////////////////////////////////////////////////////////////////////////
// ライブラリ
////////////////////////////////////////////////////////////////////////////////
func makeScanner(maxByte int) *bufio.Scanner {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Buffer(make([]uint8, 0, 8192), maxByte)
	return scanner
}
func makeWordScanner() *bufio.Scanner {
	scanner := makeScanner(8192)
	scanner.Split(bufio.ScanWords)
	return scanner
}
func eGetLine(r *bufio.Scanner) string {
	if r.Scan() {
		return r.Text()
	}
	err := r.Err()
	if err != nil {
		log.Fatal(err)
	}
	// EOF
	return ""
}
func eGetInt(r *bufio.Scanner) int {
	line := eGetLine(r)
	return eAtoi(line)
}
func eGetFields(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Fields(line)
}
func eGetInts(r *bufio.Scanner) []int {
	fields := eGetFields(r)
	ints := make([]int, len(fields))
	for i := 0; i < len(ints); i++ {
		ints[i] = eAtoi(fields[i])
	}
	return ints
}
func eGetChars(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Split(line, "")
}
func eAtoi(s string) int {
	n, err := strconv.Atoi(s)
	if err != nil {
		log.Fatal(err)
	}
	return n
}

type ints []int

func (s ints) String() string {
	var buf bytes.Buffer
	buf.WriteString("[")
	sep := ""
	for _, v := range s {
		buf.WriteString(fmt.Sprintf("%s%d", sep, v))
		sep = ", "
	}
	buf.WriteString("]")
	return buf.String()
}

func reverse(a ints) ints {
	r := make(ints, len(a))
	for i := 0; i < len(a); i++ {
		r[i] = a[len(a)-1-i]
	}
	return r
}
func max(a ints) (int, bool) {
	if len(a) == 0 {
		return 0, false
	}
	m := a[0]
	for _, e := range a {
		if e > m {
			m = e
		}
	}
	return m, true
}
func min(a []int) int {
	m := a[0]
	for _, v := range a {
		if v < m {
			m = v
		}
	}
	return m
}

func sum(a ints) int {
	if len(a) == 0 {
		return 0
	}
	sum := 0
	for _, e := range a {
		sum += e
	}
	return sum
}
func find(n int, a ints) int {
	for i, v := range a {
		if n == v {
			return i
		}
	}
	return -1
}

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

#define MAX 150
#define MAXL 1000

int C[MAXL][MAXL];

int lec(string X,string Y)
{
    int XL = X.length();
    int YL = Y.length();
    for(int i=0;i<XL;i++)
        C[i][0] = 0;
    for(int i=0;i<YL;i++)
        C[0][i] = 0;
    for(int i=0;i<XL;i++)
    {
        for(int j=0;j<YL;j++)
        {
            if(X[i]==Y[j])
            {
                C[i][j] = C[i-1][j-1]+1;
            }
            else if(C[i-1][j] > C [i][j-1])
            {
                C[i][j] = C[i-1][j];
            }else{
                C[i][j] = C[i][j-1];
            }
        }
    }
    return C[XL-1][YL-1];
}

int main()
{
    int q;
    string x,y;
    cin>>q;
    for(int i=0;i<q;i++)
    {
        cin>>x>>y;
        cout<<lec(x,y)<<endl;
    }
    return 0;
}

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

const int MAX_X = 1000, MAX_Y = 1000;

int main() {
  int n;
  int dp[MAX_X+1][MAX_Y+1];
  string X, Y;
  cin >> n;
  for (int k=0; k<n; k++) {
    cin >> X >> Y;
    for (int i=0; i<=X.length(); i++) {
      for (int j=0; j<=Y.length(); j++) {
        dp[i][j] = 0;
      }
    }

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

    cout << dp[X.length()][Y.length()] << endl;
  }
  return 0;
}

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

string X, Y;
int lc[1005][1005];

int getLCS(int m, int n) {
	if (m < 0 || n < 0)
		return 0;
	if (lc[m][n] != -1)
		return lc[m][n];
	if (X[m] == Y[n]) 
		return lc[m][n] = getLCS(m - 1, n - 1) + 1;
	else
		return lc[m][n] = max(getLCS(m, n - 1), getLCS(m - 1, n));
}

int main(void) {
	int i, j;
	int nu;
	cin >> nu;
	while (nu--) {
		for (i = 0; i < 1005; i++) 
			for (j = 0; j < 1005; j++) 
				lc[i][j] = -1;
		cin >> X >> Y;
		int m = X.length() - 1, n = Y.length() - 1;
		int lcs = getLCS(m, n);
		cout << lcs << endl;
	}
}

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

typedef long long llong;

using namespace std;

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);

	int q;
	cin >> q;
	while (q--) {
		string a, b;
		cin >> a >> b;
		int n = a.length(), m = b.length();
		vector<int> prev(m + 1, 0);
		for (int i = 1; i <= n; ++i) {
			vector<int> current(m + 1);
			current[0] = 0;
			for (int j = 1; j <= m; ++j) {
				if (a[i - 1] == b[j - 1]) {
					current[j] = 1 + prev[j - 1];
				} else {
					current[j] = max(current[j - 1], prev[j]);
				}
			}
			prev = current;
		}
		cout << prev[m] << '\n';
	}

	return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <string>
#include <cstring>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <algorithm>

using namespace std;

// ---------------------
// repetition
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)

// debug
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;

// ---------------------
#define INF 922337203685477580
typedef long long ll;

int dp[1000][1000];

int main() {
  int q;
  cin >> q;
  REP(loop, q) {
    char S[1000], T[1000];
    cin >> S >> T;

    dp[0][0] = 0;
    for (int i = 1; i <= strlen(S); i++) {
      for (int j = 1; j <= strlen(T); j++) {
        if (S[i] == T[j]) {
          dp[i][j] = dp[i - 1][j - 1] + 1;
        } else {
          dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
        }
      }
    }
    cout << dp[strlen(S)][strlen(T)] << endl;
  }

  return 0;
}

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

#define N 10000

int lcs(char *x,char *y){
	int c[N+1][N+1];
	int m = strlen(x);
	int n = strlen(y);
	int maxl = 0;
	x = strcat(" ",x);
	y = strcat(" ",y);
	int i,j;
	for(i=1;i<=m;i++){
		c[i][0]=0;
	}
	for(j=0;j<=n;j++){
		c[0][j]=0;
	}

	for(i = 1;i<=m;i++){
		for(j=1;j<=n;j++){
			if(x[i]==y[j]){
				c[i][j] = c[i-1][j-1] +1;
			}
			else{
				if(c[i-1][j] > c[i][j-1]) c[i][j] = c[i-1][j];
				else c[i][j] = c[i][j-1];
			}
			if(maxl>c[i][j])maxl = maxl;
			else maxl = c[i][j];
		}
	}
	return maxl;
}

int main(){
	char s1[1000];
	char s2[1000];
	int n;
	scanf("%d",&n);
	int i;
	for(i=0;i<n;i++){
		scanf("%s%s",s1,s2);
		printf("%d\n",lcs(s1,s2));
	}
	return 0;
}

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

using namespace std;

int main(){
  int q;cin >>q;
  for(int i=0;i<q;i++){
    string x,y;cin >> x >> y;
    int lx=x.length();int ly=y.length();
    //cout << lx << ly;
    vector< vector<int> > dp(ly,vector<int>(lx,0));
    int f=0;
    for(int j=0;j<ly;j++){
      if(x[0]==y[j]){f=1;}
      dp[j][0]=f;
    }
    f=0;
    for(int j=0;j<lx;j++){
      if(y[0]==x[j]){f=1;}
      dp[0][j]=f;
    }
    for(int j=0;j<ly;j++){
      for(int k=0;k<lx;k++){
        if(j!=0 and k!=0){
          int l=0;
          if(x[k]==y[j]){l=1;}
          //{}でmaxと同じように使える
          dp[j][k]=max({dp[j-1][k],dp[j][k-1],dp[j-1][k-1]+l});
        }
      }
    }
    cout << dp[ly-1][lx-1] << endl;
  }
}