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: import itertools
import time

c = [[0 for _ in range(1001)] for _ in range(1001)]

def make_lcs(lhs, rhs):
    llen = len(lhs)
    rlen = len(rhs)
    for l_i, r_i in itertools.product(range(llen), range(rlen)):
            c[l_i + 1][r_i + 1] = max(c[l_i][r_i + 1], c[l_i + 1][r_i]) if lhs[l_i] != rhs[r_i] else c[l_i][r_i] + 1
    print(c[llen][rlen])


if __name__ == '__main__':
    # start = time.time()
    n = int(input())
    for _ in range(n):
        lhs = [i for i in input().rstrip()]
        rhs = [i for i in input().rstrip()]
        make_lcs(lhs, rhs)

Python: def m():
 e=input
 a=''
 for _ in[0]*int(e()):
  X,z=e(),[]
  for y in e():
   s=i=0
   for k in z:
    t=X.find(y,s)+1
    if t<1:break
    if t<k:z[i]=t
    s=k;i+=1
   else:
    t=X.find(y,s)+1
    if t:z+=[t]
  a+=f'\n{len(z)}'
 print(a[1:])
if'__main__'==__name__:m()

Python: q = int(input().rstrip())
ans = []
for i in range(q):
    x = input().rstrip()
    y = input().rstrip()
    n = len(x)
    m = len(y)
    dp1 = [0]*(m+1)
    for i in range(n):
        s = x[i]
        dp2 = dp1[:]
        for j in range(m):
            if s == y[j]:
                dp1[j+1] = dp2[j]+1
            elif dp1[j+1] < dp1[j]:
                dp1[j+1] = dp1[j]
    ans.append(dp1[-1])
print(*ans, sep="\n")

Python: import numpy as np
def f(i,j):
    if i == 0 or j == 0:
        if s1[i] == s2[j]:
            x[i][j] = 1
        else:
            if i == 0:
                x[i][j] = x[i][j-1]
            else:
                x[i][j] = x[i-1][j]
    elif s1[i] == s2[j]:
        x[i][j] = max(x[i-1][j-1]+1,x[i][j-1],x[i-1][j])
    else:
        x[i][j] = max(x[i-1][j-1],x[i][j-1],x[i-1][j])

n = int(input())
for i in range(n):
    s1 = input()
    s2 = input()
    x = np.zeros((len(s1),len(s2)))
    for j in range(len(s1)):
        for k in range(len(s2)):
            f(j,k)
            
    print(int(x[len(s1)-1][len(s2)-1]))
#print(*x)

Python: # Dynamic Programming - Longest Common Subsequence
def lcs_len(X,Y):
    m,n = len(X),len(Y)
    LCS_r = [0 for _ in range(m+1)]
    for y in Y:
        previous = LCS_r[:]
        for i,x in enumerate(X):
            if x == y:
                LCS_r[i+1] = previous[i] + 1
            elif LCS_r[i] > previous[i+1]:
                LCS_r[i+1] = LCS_r[i]
    return LCS_r[-1]

q = int(input())
for _ in range(q):
    X = input()
    Y = input()
    print(lcs_len(X,Y))

Python: def answer(X, Y):
    m, n = len(X), len(Y)
    C = [[] * (n + 1) for _ in range(m + 1)]
    for i in range(m + 1):
        C[i][0] = 0
    for j in range(n + 1):
        C[0][j] = 0

    for i in range(1, m + 1):
        for j in range(1, n + 1):
            if X[i - 1] == Y[j - 1]:
                C[i][j] = C[i-1][j-1] + 1
            else:
                C[i][j] = max(C[i][j -1], C[i -1][j])
    return C[m][n]


if __name__ == '__main__':
    q = int(input())
    for _ in range(q):
        X = input()
        Y = input()
        print((X, Y))

Python: def lcs(X, Y):
    m = len(X)
    n = len(Y)
    c = [[0 for i in range(n+1)] for i in range(m+1)]
    for i in range(1,m+1):
        for j in range(1,n+1):
            if X[i -1] == Y[j - 1]:
                c[i][j] = c[i-1][j-1] + 1
            elif c[i -1][j] >= c[i][j - 1]:
                c[i][j] = c[i-1][j]
            else:
                c[i][j] = c[i][j-1]
    return str(c[m][n])

q = int(input())
for i in range(q):
    X = input()
    Y = input()
    print(lcs(X, Y))

Python: 
def LCS(x, y):
    dp = {}
    for i in range(len(x)+1):
        dp[i] = {0: i}
    for j in range(len(y)+1):
        dp[0][j] = j
    
    for i in range(1, len(x)+1):
        for j in range(1, len(y)+1):
            d = 0 if x[i-1] == t[j-1] else 1
            dp[i][j] = min(dp[i-1][j] + 1, dp[i][j-1] + 1, dp[i-1][j-1] + d)
    
    longer = max(len(x), len(y))
    return (longer - dp[len(x)][len(y)])

q = int(raw_input())
for i in range(q):
    X = raw_input()
    Y = raw_input()
    print(LCS(X, Y))

Python: q = int(input())

def lcss(x,y):
    
    lcs = [0]*(len(x)+1)
    for i in range(len(y)):
        w1 = y[i]
        lcs_2 = lcs[:]
        for j in range(len(x)):
            if x[j] == w1:
                lcs[j+1] = lcs_2[j] + 1  
            elif lcs[j+1] < lcs[j]:
                lcs[j+1] = lcs[j]
    return lcs[-1]

ret = []
for i in range(q):
    x = input()
    y = input()
    ret.append(lcss(x,y))
print(*ret,sep= "\n")

Python: from sys import stdin
from collections import deque
def search(A,B):
    N_A,N_B=len(A),len(B)
    BB=[0]*N_B
    # matrix=[[0 for j in range(N_B)] for i in range(N_A)]
    for i in range(1,N_A):
        AA=BB[:]
        for j in range(1,N_B):
            if A[i]==B[j]:
                BB[j]=AA[j-1]+1
            elif BB[j-1]>BB[j]:
                # BB[j]=BB[j-1]
                BB[j] = max(BB[j - 1], AA[j])
            # else:
            #     BB[j]=max(BB[j-1],AA[j])
    return (BB[-1])
N=int(input())
for i in range(N):

    A=deque(list(stdin.readline().strip()))
    B=deque(list(stdin.readline().strip()))
    A.appendleft(0)
    B.appendleft(0)
    print(search(A,B))

Python: n=int(input())
al=[]
bl=[]
for i in range(n):
	al.append(list(input()))
	bl.append(list(input()))

for i in range(n):
	a=al.pop(0)
	b=bl.pop(0)
	dp=[[0 for i in range(len(b))] for j in range(len(a))]

	if a[0]==b[0]:
		dp[0][0]=1
	for i in range(1,len(a)):
		if a[i]==b[0]:
			dp[i][0]=1
		else:
			dp[i][0]=dp[i-1][0]
	for i in range(1,len(b)):
		if a[0]==b[i]:
			dp[0][i]=1
		else:
			dp[0][i]=dp[0][i-1]
	for i in range(1, len(a)):
		for j in range(1, len(b)):
			if a[i]!=b[j]:
				dp[i][j]=max(dp[i-1][j-1],dp[i-1][j],dp[i][j-1])
			else:
				dp[i][j]=dp[i-1][j-1]+1

	print(dp[len(a)-1][len(b)-1])

Python: from collections import defaultdict


def lcs(x, y):
    dp = [defaultdict(int) for _ in range(len(x) + 1)]
    dp[0] = [0]*(len(y) + 1)
    for i in range(len(x)):
        for j in range(len(y)):
            if x[i] == y[j]:
                dp[i + 1][j + 1] = dp[i][j] + 1
            else:
                dp[i + 1][j + 1] = max(dp[i][j + 1], dp[i + 1][j])
    return dp[len(x)][len(y)]


N = int(input())
for i in range(N):
    x = input()
    y = input()
    print(lcs(x, y))

Python: def lcs(l1,l2):
    dp=[[0 for x in range(len(l2)+1)] for y in range(len(l1)+1)]

    for i in range(1,len(l1)+1):
        for j in range(1,len(l2)+1):
            if l1[i-1]==l2[j-1]:
                dp[i][j]=dp[i-1][j-1]+1
            else:
                dp[i][j]=max(dp[i-1][j],dp[i][j-1])
                
    return dp[len(l1)][len(l2)]


a=[]
n=int(input())
for i in range(n):
    l1=list(input())
    l2=list(input())
    a+=[lcs(l1,l2)]

for i in range(n):
    print(a[i])