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)
	}
}

Python: # -*- coding: utf-8 -*-

import random
import sys
import os
import pprint


def LCS(s0, s1):
    # print(s0)
    # print(s1)
    m = len(s0)
    n = len(s1)

    # memo[i][j]
    memo = [[0] * n for i in range(m)]
    # pprint.pprint(memo)

    # fill at index 0
    index = s0.find(s1[0])
    if index != -1:
        for i in range(index, m):
            memo[i][0] = 1

    index = s1.find(s0[0])
    if index != -1:
        for j in range(index, n):
            memo[0][j] = 1

    """
    for i in range(m):
        if s1[0] in s0[0:i+1]:
            memo[i][0] = 1
    for j in range(n):
        if s0[0] in s1[0:j+1]:
            memo[0][j] = 1
    """

    # fill memo
    for i in range(1, m):
        for j in range(1, n):
            # same last
            if s0[i] == s1[j]:
                memo[i][j] = memo[i-1][j-1] + 1
            else:
                memo[i][j] = max(memo[i-1][j], memo[i][j-1])
    return memo[m-1][n-1]


"""
def LCS_better(s0, s1):
    dp = [0] * len(s1) # cost use till j
    for c in s0:
        tmp = dp[:]
        for j in range(len(s1)):
            if c == s1[j]:
                dp[j + 1] = tmp[j] + 1
            elif dp[j + 1] < dp[j]:
                dp[j + 1] = dp[j]
    return dp[-1]
"""

#fd = os.open('ALDS1_10_C.txt', os.O_RDONLY)
#os.dup2(fd, sys.stdin.fileno())

n = int(input())
for _ in range(n):
    s0 = input()
    s1 = input()
    l = LCS(s0, s1)
    #l2 = LCS_better(s0, s1)
    print(l)

Python: def lcs(x, y):
    L = []
    for y_k in y:
        si = 0
        for i, cri in enumerate(L):
            chi = x.find(y_k, si) + 1
            if not chi:
                break
            L[i] = min(cri, chi)
            si = cri
        else:
            chi = x.find(y_k, si) + 1
            if chi:
                L.append(chi)
    return len(L)


if __name__ == "__main__":
    N = int(input())
    ans = []
    for _ in range(N):
        X = input()
        Y = input()
        print(lcs(X, Y))

Python: from sys import stdin
input = stdin.readline

N = 1000

def lcs(X, Y):
    c = [[0]*(N+1) for _ in range(N+1)]
    maxl = 0
    X = ' ' + X # 1オリジンにする
    Y = ' ' + Y
    pre_row = c[0]
    for i, x in enumerate(X):
        if i == 0:
            continue
        row = c[i]
        for j, y in enumerate(Y):
            if j == 0:
                continue
            if x == y:
                value = pre_row[j-1] + 1
                row[j] = value
                if maxl < value: # maxlの更新はこの時しか起こらない
                    maxl = value
            else:
                pre_row_j = pre_row[j]
                row_j_1 = row[j-1]
                value = row_j_1
                if pre_row_j > row_j_1:
                    value = pre_row_j # max関数だと、とても遅い
                row[j] = value
        pre_row = row # 今の列が次の列にとって一つ前の列になる

    return maxl

n = int(input())
for _ in range(n):
    s1 = input()[:-1]
    s2 = input()[:-1]
    print(lcs(s1, s2))

Python: import sys

def lcm(c,i, j):
    if c[i][j]>0: return c[i][j]        
    if i==0 or j==0:
        return 0
    elif x[i]==y[j]:
        c[i][j] = lcm(c,i-1,j-1)+1
        return c[i][j]
    else:
        c[i][j] = max(lcm(c,i,j-1), lcm(c,i-1,j))
        return c[i][j]

for _ in range(int(sys.stdin.readline())):
    x = sys.stdin.readline()
    y = sys.stdin.readline()
    c = [[0 for _ in range(len(x)+2)] for _ in range(len(y)+2)] 
    print(lcm(c,len(x)-1,len(y)-1))

Python: q = int(input())
ans = []
for _ in range(q):
    x = input()
    y = input()
    m = len(x)
    n = len(y)
    c = [0] * (n + 1)
    for i in range(m):
        tmp = x[i]
        c_ = c[:]
        for j in range(n):
            if tmp == y[j]:
                c[j + 1] = c_[j] + 1
            elif c[j + 1] < c[j]:
                c[j + 1] = c[j]
    ans.append(c[-1])

print(*ans, sep="\n")