Go: package main

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

type Position struct {
	X int
	Y int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}
	for i := 0; i < n; i++ {
		strX := nextText(sc)
		strY := nextText(sc)
		fmt.Println(calcLcs(strX, strY))
	}
}

func calcLcs(strX, strY string) int {
	return lcs(strX, strY, Position{0, 0}, make(map[Position]int))
}

func lcs(strX string, strY string, position Position, memo map[Position]int) int {
	if position.X >= len(strX) || position.Y >= len(strY) {
		return 0
	}
	if v, ok := memo[position]; ok {
		return v
	}
	if strX[position.X] == strY[position.Y] {
		result := lcs(strX, strY, Position{position.X + 1, position.Y + 1}, memo)
		memo[position] = result + 1
		return memo[position]
	} else {
		result1 := lcs(strX, strY, Position{position.X + 1, position.Y}, memo)
		result2 := lcs(strX, strY, Position{position.X, position.Y + 1}, memo)
		var result int
		if result1 > result2 {
			result = result1
		} else {
			result = result2
		}
		memo[position] = result
		return result
	}
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

func nextText(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

Python: def lcs(x, y):
    lx = len(x)
    ly = len(y)
    pcsl = [[0 for i in range(ly + 1)] for j in range(lx + 1)]
    for i in range(lx):
        for j in range(ly):
            if x[i] == y[j]:
                pcsl[i][j] = pcsl[i - 1][j - 1] + 1
            else:
                pcsl[i][j] = max(pcsl[i - 1][j], pcsl[i][j - 1])
    print(pcsl[i][j])


q = int(input())

for i in range(q):
    ax = input()
    ay = input()
    lcs(ax, ay)

Python: n=int(input())

for i in range(n):
    a=list(input())
    b=list(input())

    r=[[0 for j in range(len(b)+1)]for i in range(len(a)+1)]

    for j in range(1,len(a)+1):
        for k in range(1,len(b)+1):
            c=max(r[j-1][k-1],r[j-1][k],r[j][k-1])
            
            if a[j-1]==b[k-1]:
                c=c+1
            
            r[j][k]=c
    print(r[len(a)][len(b)])

Python: for _ in[0]*int(input()):
 X,z=input(),[]
 for y in input():
  s=i=0
  for k in z:
   t=X.find(y,s)+1
   if not t:break
   if t<k:z[i]=t
   s=k;i+=1
  else:
   t=X.find(y,s)+1
   if t:z+=[t]
 print(len(z))

Python: #dj 16D8101012J ito jun
import sys
def search(a,b):
    na=len(a)
    nb=len(b)
    array = [[0]*(nb+1) for _ in range(na+1)]
    for i,x in enumerate(a,1):
        prerow=array[i-1]
        row=array[i]
        for j,y in enumerate(b,1):
            if x == y:
                row[j]=prerow[j-1]+1
            elif prerow[j] < row[j-1]:
                row[j] = row[j-1]
            else:
                row[j] = prerow[j]
    return array[-1][-1]

n = int(input())
strs = [list(i) for i in sys.stdin.read().splitlines()]
result = [search(strs[i*2], strs[i*2+1]) for i in range(n)]
print(*result, sep="\n")

Python: q = int(input().rstrip())
data_set = [[[i for i in input().rstrip()],
             [i for i in input().rstrip()]] for i in range(q)]

common_list = [[0] * 1000 for i in range(1000)]


def lcs(X: list, Y: list):
    global common_list
    m, n = len(X), len(Y)
    for i in range(1, m + 1):
        for k in range(1, n + 1):
            if X[i - 1] == Y[k - 1]:
                common_list[i][k] = common_list[i - 1][k - 1] + 1
            elif common_list[i - 1][k] >= common_list[i][k - 1]:
                common_list[i][k] = common_list[i - 1][k]
            else:
                common_list[i][k] = common_list[i][k - 1]
    return common_list[m][n]


for l, r in data_set:
    print(lcs(l, r))

Python: import sys
def lcs(X, Y):
    m = len(X)
    n = len(Y)
    # c = [[0 for i in range(n+1)] for i in range(m+1)]
    c = [None]*(m+1)
    for i in range(m+1):
        c[i] = [0]*(n+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 = sys.stdin.readline().rstrip('\r\n')
    Y = sys.stdin.readline().rstrip('\r\n')
    print(lcs(X, Y))

Python: def Ics(X, Y):
    m = len(X)
    n = len(Y)
    maxl = 0
    for i in range(m + 1):
        c[i][0] = 0
    for j in range(1, n + 1):
        c[0][j] = 0
    for i in range(1, m + 1):
        for j in range(1, n + 1):
            if(X[i] == Y[j]):
                c[i][j] = c[i - 1][j - 1] + 1
            else:
                c[i][j] = max(c[i][j - 1], c[i - 1][j])
            maxl = max(maxl, c[i][j])
    return maxl

q = int(input().rstrip())
t = []
for i in range(n):
    s1 = input().rstrip()
    s2 = input().rstrip()
    t.append(lcs(s1, s2))
print(*t, sep="\n")

Python: def calc(x,y):
    i = len(x)
    j = len(y)
    if d[i][j]:
        return d[i][j]
    else:
        if i == 1:
            if x in y:
                d[i][j] = 1
                return 1
            else:
                d[i][j] = 0
                return 0
        elif j == 1:
            if y in x:
                d[i][j] = 1
                return 1
            else:
                d[i][j] = 0
                return 0
        else:
            if x[-1] == y[-1]:
                tmp = max(calc(x[:-1],y[:-1])+1,calc(x[:-1],y),calc(x,y[:-1]))
                d[i][j] = tmp
                return tmp
            else:
                tmp = max(calc(x[:-1],y),calc(x,y[:-1]))
                d[i][j] = tmp
                return tmp
        
q = int(input())
for i in range(q):
    x = input()
    y = input()
    d = [[None for _ in range(len(y)+1)] for _ in range(len(x)+1)]
    print(calc(x,y))

Python: def search(X, Y):
    dp = [[0] * (len(Y)+1) for x in range(len(X)+1)]
    for x in range(1, len(X) + 1):
        for y in range(1, len(Y) + 1):
            if X[x-1] == Y[y-1]:
                dp[x][y] = dp[x-1][y-1] + 1
            elif dp[x-1][y] > dp[x][y-1]:
                dp[x][y] = dp[x-1][y]
            else:
                dp[x][y] = dp[x][y-1]
    return dp[-1][-1]

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

Python: n = int(input())

# result = []

memo = {}


def search(s1, s2):

    if (s1, s2) in memo:
        return memo[(s1, s2)]

    total = [0]

    if s1:
        s1_head, s1_body = s1[0], s1[1:]
        for idx2, s2_tgt in enumerate(s2):
            if s1_head == s2_tgt:
                total.append(1+search(s1_body, s2[idx2+1:]))

    if s2:
        s2_head, s2_body = s2[0], s2[1:]
        for idx1, s1_tgt in enumerate(s1):
            if s2_head == s1_tgt:
                total.append(1+search(s1[idx1+1:], s2_body))

    if s1 and s2:
        total.append(search(s1[1:], s2[1:]))

    memo[(s1, s2)] = max(total)
    return max(total)
    # print(rs)


for _ in range(n):
    s1 = input()
    s2 = input()
    result = search(s1, s2)
    print(result)

Python: import bisect


def LCS(S, T):
    N = len(S)
    M = len(T)
    dp = [[0] * (M + 1) for _ in range(N + 1)]

    for i, s in enumerate(S, start=1):
        for j, t in enumerate(T, start=1):
            if s == t:
                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]


def LCS_HTKB(S, T):
    T = T[::-1]
    memo = []

    for s in S:
        i = T.find(s) + 1
        while i:
            j = bisect.bisect_left(memo, -i)
            if j >= len(memo):
                memo.append(-i)
            else:
                memo[j] = -i
            i = T.find(s, i) + 1
    return len(memo)


if __name__ == "__main__":
    Q = int(input())
    ans = []
    for _ in range(Q):
        ans.append(LCS_HTKB(input(), input()))
    print(*ans, sep="\n")