Go: package main

import "fmt"

func initialize_grid(width int,height int)[][]int{
	var grid [][]int
	for i:=0;i<height+1;i++{
		var grid_row  []int
		for j:=0;j<width+1;j++{
			grid_row = append(grid_row,0)
		}
		grid = append(grid,grid_row[:])
	}
	return grid
}

func ma(x int,y int)int{
	if x >= y{
		return x
	}else{
		return y
	}
}

func main()  {
	//Take input
	var num int
	var st1,st2 string
	var string_pairs [][]string
	fmt.Scan(&num)
	for i:=0;i<num;i++{
		var string_pair []string
		fmt.Scan(&st1)
		fmt.Scan(&st2)
		string_pair = append(string_pair,st1,st2)
		string_pairs = append(string_pairs,string_pair)
	}
	//DP
	//initialize grid
	for i:=0;i<num;i++{
		string_1 := string_pairs[i][0]
		string_2 := string_pairs[i][1]

		dp := initialize_grid(len(string_2),len(string_1))

		for j:=1;j<len(string_1)+1;j++{
			for k:=1;k<len(string_2)+1;k++{
				if string_1[j-1] == string_2[k-1]{
					dp[j][k] = dp[j-1][k-1] + 1
				}else{
					dp[j][k] = ma(dp[j-1][k],dp[j][k-1])
				}
			}
		}
		fmt.Println(dp[len(string_1)][len(string_2)])
	}
}

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))]

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

			elif 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: #dj 16D8101012J ito jun
n = int(input())
for _ in range(n):
    a = input()
    b = input()
    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]
    print(array[na][nb])

Python: from itertools import chain
from sys import stdin
def lcs(x, y):
    m = len(x)
    n = len(y)
    c = [[0] * 1001 for i in range(1002)]
    # x = " " + x
    # y = " " + y
    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 - 1][j], c[i][j - 1])
    return max(chain.from_iterable(c))


n = int(input().rstrip())
strs = stdin.readlines()
ret = []
for i in range(n):
    s1 = strs[i*2].rstrip()
    s2 = strs[i*2+1].rstrip()
    ret.append(lcs(s1, s2))
print(*ret, sep="\n")

Python: def LCS(x,y):
    n,m=len(x),len(y)
    DP=[0 for _ in range(m+1)]
    for i in range(n):
        tmp=DP[:]
        num=x[i]
        for j in range(m):
            if num==y[j]:DP[j+1]=tmp[j]+1
            elif DP[j+1]<DP[j]:DP[j+1]=DP[j]
    return DP[-1]


n=int(input())
for _ in range(n):
    print(LCS(input(),input()))

Python: 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+=[z]
print('\n'.join(map(str,map(len,a))))

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

output:
4
3
2

"""
import sys

sys.setrecursionlimit(int(1e5))


def lcs(w1, w2):
    m, n = len(w1), len(w2)
    dp = tuple([[0] * (n + 1) for _ in range(m + 1)])
    max_l = 0
    for i in range(1, m + 1):
        for j in range(1, n + 1):
            if w1[i - 1] == w2[j - 1]:
                dp[i][j] = dp[i - 1][j - 1] + 1
            else:
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])
            max_l = max(max_l, dp[i][j])

    return max_l


def lcs_recursive(w1, w2, m, n):
    if m == 0 or n == 0:
        return 0
    elif w1[m - 1] == w2[n - 1]:
        return 1 + lcs_recursive(w1, w2, m - 1, n - 1)
    else:
        return max(
            lcs_recursive(w1, w2, m, n - 1), lcs_recursive(w1, w2, m - 1, n))


def solve():
    _input = sys.stdin.readlines()
    pair_num = int(_input[0])

    word_list = _input[1:]
    # assert len(word_list) == 2 * pair_num

    for pair in zip(word_list[::2], word_list[1::2]):
        cw1, cw2 = map(lambda x: x.strip(), pair)
        # print(lcs(cw1, cw2))
        print(lcs_recursive(cw1, cw2, len(cw1), len(cw2)))

    return None


if __name__ == '__main__':
    solve()

Python: # coding=utf-8

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

q = int(input())

for _ in range(q):
    X = list(input())
    Y = list(input())
    c = [[0 for _ in range(len(Y))] for _ in range(len(X))]
    max_c = lcs(X, Y)
    print(max_c)

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

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


if __name__ == '__main__':

    
    def lcs(X, Y):
        m = len(X)
        n = len(Y)
        c = [[-1 for i in range(n+1)] for j in range(m+1)]
        X = " " + X
        Y = " " + Y
        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-1][j], c[i][j-1])
        return c[m][n]

    def lcs2(X, Y):
        n = len(Y)
        dp = [0]*(n+1)
    
        for c in X:
            tmp = dp[:]
            for j in range(n):
                if c == Y[j]:
                    dp[j+1] = tmp[j] + 1
                elif dp[j+1] < dp[j]:
                    dp[j+1] = dp[j]
    
        return dp[-1]

    q = int(input())
    for _ in range(q):
        X = input()
        Y = input()
        print(lcs2(X,Y))

Python: def lcs(s1,s2):
    l1=len(s1)
    work=[0]*(l1+1)

    #enumerateを使って文字列へのアクセスを極力避ける
    for x in s2:
        work_old=work[:]
        for j,y in enumerate(s1):
            if x==y :
                work[j+1]=work_old[j]+1
            elif work[j]>work_old[j+1]:
                work[j+1]=work[j]
                
    print(work[-1])


import sys
input=sys.stdin.readline


q=int(input())
for _ in range(q):
    lcs(input()[:-1],input()[:-1])