Go: package main

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

var (
	nstr   func() string
	stdout *bufio.Writer
)

func init() {
	nstr = newReadString(os.Stdin)
	stdout = bufio.NewWriter(os.Stdout)
}

func main() {
	defer stdout.Flush()

	n := nint()
	xList := make([]string, n)
	yList := make([]string, n)

	for i:=0;i<n ;i++  {
		xList[i] = nstr()
		yList[i] = nstr()
	}

	for i := 0; i<n	; i++  {
		fmt.Println(lcs(xList[i], yList[i]))
	}

}

func lcs(x string, y string) int{
	var m = len(x)
	var n = len(y)

	c := make([][]int, m+1)
	for i:= range c{
		c[i] = make([]int, n+1)
	}
	for i:=	1;i<=m ;i++  {
		for j:=1;j<=n ;j++  {
			if x[i-1] == y[j-1]{
				c[i][j] = c[i-1][j-1] + 1
			}else{
				c[i][j] = int(math.Max(float64(c[i-1][j]), float64(c[i][j-1])))
			}


		}
	}
	return c[m][n]

}


func newReadString(ior io.Reader) func() string {
	r := bufio.NewScanner(ior)
	r.Buffer(make([]byte, 1024), int(1e+11))
	r.Split(bufio.ScanWords)

	return func() string {
		if !r.Scan() {
			panic("Scan failed")
		}
		return r.Text()
	}
}

func nint64() int64 {
	i, err := strconv.ParseInt(nstr(), 0, 64)
	if err != nil {
		panic(err.Error())
	}
	return i
}

func nint() int {
	return int(nint64())
}

func getIntSlice(n int) []int {
	b := make([]int, n)
	for i := 0; i < n; i++ {
		b[i] = nint()
	}
	return b
}

func getStringSlice(n int) []string {
	b := make([]string, n)
	for i := 0; i < n; i++ {
		b[i] = nstr()
	}
	return b
}

func gcd(x, y int) int {
	if y == 0 {
		return x
	}
	return gcd(y, x%y)
}

func lcm(x, y int) int {
	return x * y / gcd(x, y)
}

func contains(s []int, e int) bool {
	for _, a := range s {
		if a == e {
			return true
		}
	}
	return false
}

func bin(i int, prefix bool) string {
	i64 := int64(i)

	if prefix {
		return "0b" + strconv.FormatInt(i64, 2)
	} else {
		return strconv.FormatInt(i64, 2)
	}
}

func strReverse(s string) string {
	runes := []rune(s)
	for i, j := 0, len(runes)-1; i < j; i, j = i+1, j-1 {
		runes[i], runes[j] = runes[j], runes[i]
	}

	return string(runes)
}

Python: def len_LCS(X,Y):
    x_l = len(X)
    y_l = len(Y)
    lcs = [[0 for _ in range(x_l+1)] for _ in range(y_l+1)]
    for j in range(y_l):
        for i in range(x_l):
            if Y[j] == X[i]:
                lcs[j+1][i+1] = lcs[j][i] + 1
            else:
                lcs[j+1][i+1] = lcs[j+1][i] if lcs[j+1][i] > lcs[j][i+1] else lcs[j][i+1]
    return lcs[-1][-1]

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

Python: from sys import stdin

X = [ 0 for i in range(1000) ]
Y = [ 0 for i in range(1000) ]


def getLCS() :
	xlen = len(X[l])
	ylen = len(Y[l])
	Z = [[0 for i in range(xlen+2)]for i in range(ylen+2)]

	for i in range(1,xlen+1) :
		for j in range(1,ylen+1) :
			if X[i-1] == Y[j-1] : Z[i][j] = Z[i-1][j-1] + 1
			elif Z[i-1][j] >= Z[i][j-1] : Z[i][j] = Z[i-1][j]
			else : Z[i][j] = Z[i][j-1]

	return Z[xlen][ylen]

n = int(input())
for l in range(n) :
	X[l] = stdin.readline().strip()
	Y[l] = stdin.readline().strip()
	print(getLCS())

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 = input()
    Y = input()
    print(lcs(X, Y))

Python: #!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
input:
3
abcbdab
bdcaba
abc
abc
abc
bc

output:
4
3
2

"""
import sys


def lcs(A, B):
    m, n = len(A), len(B)
    count_list = [[0] * (n + 1) for _ in range(m + 1)]

    for i in range(1, m + 1):
        for j in range(1, n + 1):
            if A[i - 1] == B[j - 1]:
                count_list[i][j] = count_list[i - 1][j - 1] + 1
            else:
                count_list[i][j] = max(count_list[i - 1][j], count_list[i][j - 1])

    return count_list[m][n]


# def lcs_better(A, B):
#     cost_history = [None]
#     for ele in B:
#         for index in range(len(cost_history) - 1, -1, -1):
#             # ???????¬??????°????????????????§???¨A??\?????°??????(ele), ????????°?????????
#             found = A.find(ele, cost_history[index])
#             if found != -1:
#                 if index + 1 < len(cost_history):
#                     cost_history[index + 1] = min(cost_history[index + 1], found + 1)
#                 # ??¨???????????°?????¢?????°?????¶?????°????????´???
#                 else:
#                     assert index + 1 == len(cost_history)
#                     cost_history.append(found + 1)
# 
#     return len(cost_history) - 1


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    pair_num = int(_input[0])

    word_list = _input[1:]
    # assert len(word_list) == 2 * pair_num
    for k in range(0, len(word_list), 2):
        print(lcs(word_list[k].strip(), word_list[k + 1].strip()))

Python: q = int(input())

l = []
x = ""
y = ""

for i in range(q):
    x = input()
    y = input()
 
    yLen = len(y)
    xLen = len(x)
    l = [[0] * xLen for j in range(yLen)]

    for j in range(yLen):
        for k in range(xLen):
            if k == 0 and j == 0:
                if x[k] == y[j]:
                    l[j][k] = 1
                else:
                    l[j][k] = 0
            elif k == 0:
                if x[k] == y[j]:
                    l[j][k] = 1
                else:
                    l[j][k] = l[j - 1][k]
            elif j == 0:
                if x[k] == y[j]:
                    l[j][k] = 1
                else:
                    l[j][k] = l[j][k - 1]
            elif x[k] == y[j]:
                l[j][k] = 1 + l[j - 1][k - 1]
            else:
                if l[j][k - 1] > l[j - 1][k]:
                    l[j][k] = l[j][k - 1]
                else:
                    l[j][k] = l[j - 1][k]
 
    print(l[yLen- 1][xLen - 1])

Python: n=int(input())
ans=[]
for k in range(n):
    s1=input()
    s2=input()
    dp=[[0 for i in range(len(s2)+1)] for j in range(len(s1)+1)]
    for i in range(1,len(s1)+1):
        for j in range(1,len(s2)+1):
            if s1[i-1]==s2[j-1]:
                dp[i][j]=dp[i-1][j-1]+1
            else:
                dp[i][j]=max(dp[i-1][j],dp[i][j-1])


    ans.append(dp[len(s1+1)][len(s2+1)])
for a in ans:
    print(a)

Python: q = int(input())

def lcs(X, Y):
    x_len = len(X)
    y_len = len(Y)
    dp = [[0 for _ in range(y_len+1)] for _ in range(x_len+1)]
    
    for i, x in enumerate(X):
        for j, y in enumerate(Y):
            if x == y:
                dp[i][j] = dp[i-1][j-1] + 1
            else:
                dp[i][j] = max(dp[i-1][j], dp[i][j-1])
                               
    return max(max(dp))
    
for _ in range(q):
    X = input()
    Y = input()
    print(lcs(X, Y))

Python: for _ in[0]*int(input()):
 X,Y=' '+input(),' '+input();m,n=len(X),len(Y);c=[[0]*n for _ in[0]*m]
 for i in range(1,m):
  for j in range(1,n):c[i][j]=(max(c[i-1][j],c[i][j-1]),1+c[i-1][j-1])[X[i]==Y[j]]
 print(c[m-1][n-1])

Python: import bisect

INF = float('inf')
q = int(input())
for i in range(q):
    x = input()
    y = input()
    dic = {}
    for i,xx in enumerate(x):
        if xx in dic : dic[xx].append(i)
        else : dic[xx] = [i]
    inc = []
    size = -1
    for j,yy in enumerate(y):
        if not (yy in dic):continue
        inc.append([])
        size += 1
        for k in dic[yy]:
            inc[size].append(k)
    #incのLISを求めればよい
    n = len(inc)
    dp =  [INF for i in range(n)]
    temp = [INF for i in range(n)]

    for ii in inc:
        for i in ii:
            p = bisect.bisect_left(dp, i)
            temp[p] = min(i,temp[p])
        dp = temp[:]


    print(bisect.bisect_left(dp, INF))