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: def lcs(X,Y,p,q,Z):
    for i in range(len(X)):
        for j in range(len(Y)):
            if X[i]==Y[j]:
                Z[i+1][j+1]=Z[i][j]+1
            else:
                if Z[i][j+1]>Z[i+1][j]:
                    Z[i+1][j+1]=Z[i][j+1]
                else:
                    Z[i+1][j+1]=Z[i+1][j]
    print(Z[p][q])

n=int(input())
for i in range(n):
    X=input()
    Y=input()
    p=len(X)
    q=len(Y)
    Z=[[0 for i in range(q+1)]for j in range(p+1)]
    lcs(X,Y,p,q,Z)

Python: q = int(input())
t = []
for i in range(q):
    X = input()
    Y = input()
    m = len(X)
    n = len(Y)
    c1 = [0] * (n + 1)
    for i in range(m):
        d = X[i]
        c2 = c1[:]
        for j in range(n):
            if (d == Y[j]):
                c1[j + 1] = c2[j] + 1
            elif (c1[j + 1] < c1[j]):
                c1[j + 1] = c1[j]
    return (c1[-1])
    print(Ics(s1, s2))

Python: n = int(input())
dataset = []
for i in range(n):
    tmp = []
    tmp.append(input())
    tmp.append(input())
    dataset.append(tmp)
 
for data in dataset:
    m = len(data[0])
    n = len(data[1])
    dp = []
    for x in range(n+1):
        dp.append([0] *(m+1))
 
    for j in range(n):
        for i in range(m):
            if data[0][i] == data[1][j]:
                dp[j+1][i+1] = dp[j][i] + 1
            else:
                #dp[j+1][i+1] = max(dp[j+1][i], dp[j][i+1])
                dp[j+1][i+1] = dp[j+1][i] if dp[j+1][i]>dp[j][i+1] else dp[j][i+1]
    print(dp[n][m])

Python: def lcs1d(X,Y):
    lx = len(X)
    ly = len(Y)
    T = [0] * ly
    for j in range(1,lx):
        C = T[:]
        for k in range(1,ly):
            k1 = k-1
            if X[j] == Y[k]:
                T[k] = C[k1] + 1
            elif C[k] > T[k1]:
                T[k] = C[k]
            else:
                T[k] = T[k1]
    return T[k]

def main():
    """ ????????? """
    num = int(input())
    for i in range(num):
        X = " " + input()
        Y = " " + input()
        max = lcs1d(X,Y)
        print(max)

if __name__ == '__main__':
    main()

Python: #JOI
def main():
    X=input()
    Y=input()
    dp=[[0 for y in range(1+len(Y))] for x in range(1+len(X))]
    for x in range(len(X)):
        for y in range(len(Y)):
            now=0
            dp[x][y]=max(dp[x-1][y],dp[x][y-1])
            for x1 in range(Y[:y+1].count(X[x])):
                idx=Y[now:y+1].index(X[x])
                now=idx+1
                dp[x][y]=max(dp[x-1][idx-1]+1,dp[x][y])
            now=0
            for y1 in range(X[:x+1].count(Y[y])):
                idx=X[now:x+1].index(Y[y])
                now=idx+1
                dp[x][y]=max(dp[idx-1][y-1]+1,dp[x][y])
    print(dp[len(X)-1][len(Y)-1])
for i in range(int(input())):
    main()

Python: n = int(input())
for _ in range(n):
    a, b = input(), input()
    i, j = len(a), len(b)
    prev = [0] * (j + 1)
    for ca in a:
        cur = [0] * (j + 1)
        cl = -1
        for l, cb in enumerate(b):
            if ca == cb:
                cur[l + 1] = cl = prev[l] + 1
            else:
                cur[l + 1] = cl = max(cl, prev[l + 1])
        prev = cur
    print(prev[-1])

Python: import sys

def solve():
    q = int(sys.stdin.readline())

    for qi in range(q):
        x = sys.stdin.readline().rstrip()
        y = sys.stdin.readline().rstrip()

        ans = compute_lcs(x, y)

        print(ans)

def compute_lcs(x, y):
    n = len(x)
    m = len(y)

    x = '#' + x
    y = '#' + y

    dp = [[0]*(m + 1) for i in range(n + 1)]

    for i in range(1, n + 1):
        for j in range(1, m + 1):
            if x[i] == y[j]:
                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]

if __name__ == '__main__':
    solve()

Python: q = int(input())

for _ in range(q):
    x = input()
    y = input()
    dp = [[0 for j in range(len(y)+1)] for i in range(len(x)+1)]
    for i in range(len(x)):
        for j in range(len(y)):
            if x[i] == y[j]:
                dp[i+1][j+1] = max(dp[i][j]+1, dp[i+1][j], dp[i][j+1])
            else:
                dp[i+1][j+1] = max(dp[i+1][j], dp[i][j+1])
    print(dp[len(x)][len(y)])

Python: #dj 16D8101012J ito jun
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]+1:
                row[j] = row[j-1]
            else:
                row[j] = prerow[j]
    return array[-1][-1]

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

Python: for i in range(int(input())):
    s=input()
    t=input()
    a=[0]
    for i in s:
        for j in range(len(a)-1,-1,-1):
            b=t.find(i,a[j])+1
            if b:
                if j+1<len(a):
                    a[j+1]=min(a[j+1],b)
                else:
                    a.append(b)
    print(len(a)-1)

Python: def lcs(x, y):
    lx = len(x)
    ly = len(y)
    pcsl = [[0 for j in range(ly + 1)] for i 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: #! /usr/bin/env python3
# -*- coding: utf-8 -*-

from sys import setrecursionlimit
from functools import lru_cache


def lcs(s1, s2):
    cost = [0]
    for c in s2:
        #print("c=", c)
        for i in reversed(range(len(cost))):
            index = s1.find(c, cost[i]) + 1
            if index:
                if i + 1 < len(cost):
                    cost[i + 1] = min(cost[i + 1], index)
                else:
                    cost.append(index)
            #print("i={}, index={}, cost={}".format(i, index, cost))
    return len(cost) - 1


def main():
    setrecursionlimit(10000)

    q = int(input())

    for _ in range(q):
        x = input()
        y = input()
        print(lcs(x, y))


if __name__ == '__main__':
    # print("TCCAGATGG")
    # print("TCACA")
    #print(lcs("TCCAGATGG", "TCACA"))
    main()

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))