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: 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])

Python: def longest_common_subseq(S, T):
    if not S and not T: return 0
    len_S, len_T = len(S), len(T)
    dp = [0] * (len_T + 1)
    prev = [0] * (len_T + 1)
    for s in S:
        for j in range(len_T):
            if s == T[j]: dp[j+1] = prev[j] + 1
            elif dp[j] > dp[j+1]: dp[j+1] = dp[j]
        prev = dp[:]
    return dp[len_T]

Q = int(input())
ans = []
for _ in range(Q):
    X = input()
    Y = input()
    ans.append(longest_common_subseq(X, Y))
print(*ans, 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] * 2000 for i in range(2000)]


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: # ALDS_10_C - 最長共通部分列

import sys


# def main():
#     q = int(input())
#
#     for _ in range(q):
#         X = list(str(sys.stdin.readline().strip()))
#         Y = list(str(sys.stdin.readline().strip()))
#
#         dp = [[0] * (len(X) + 1) for _ in range(len(Y) + 1)]
#
#         for y in range(len(Y)):
#             for x in range(len(X)):
#                 dp[y + 1][x + 1] = max(dp[y][x + 1], dp[y + 1][x])
#                 if X[x] == Y[y]:
#                     dp[y + 1][x + 1] = dp[y][x] + 1
#
#         print(dp[-1][-1])


def main():
    q = int(input())

    for _ in range(q):
        X = list(str(sys.stdin.readline().strip()))
        Y = list(str(sys.stdin.readline().strip()))

        dp = [0] * (len(X) + 1)

        for y in range(len(Y)):
            dp2 = dp[:]
            # print(dp2)
            for x in range(len(X)):
                if X[x] == Y[y]:
                    dp[x + 1] = dp2[x] + 1
                elif dp[x + 1] < dp[x]:
                    dp[x + 1] = dp[x]

        print(dp[-1])


if __name__ == '__main__':
    main()

Python: def lcs(X, Y):
    x = len(X) + 1
    y = len(Y) + 1
    c = [[0 for y in range(y)] for x in range(x)]

    for i in range(1, x):
        for j in range(1, y):
            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 c[x - 1][y - 1]

n = int(input())

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

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[-1][-1])

Python: import sys

def dp_init(m, n):
    return [[0] * n] * m

def solve(str_a, str_b):
    dp = dp_init(len(str_a), len(str_b))
    return rec(len(str_a), len(str_b), str_a, str_b, dp)

def rec(i, j, str_a, str_b, dp):
    if i == 0 or j == 0:
        return 0
    if dp[i][j] > 0:
        return dp[i][j]
    if str_a[i-1] == str_b[j-1]:
        dp[i][j] = rec(i-1, j-1, str_a, str_b, dp) + 1
        return dp[i][j]
    dp[i][j] = max(rec(i, j-1, str_a, str_b, dp), rec(i-1, j, str_a, str_b, dp))
    return dp[i][j]

nb_pairs = int(input())
pairs = []
for i in range(0, nb_pairs):
    pairs.append((input(), input()))

for i in range(0, nb_pairs):
    str_a, str_b = pairs[i]
    print(solve(str_a, str_b))

Python: def search(x, y):
    x_length = len(x)
    y_length = len(y)
    memo = [[0] * (y_length + 1) for i in range(x_length + 1)]
    for i, ch_x in enumerate(x, 1):
        row = memo[i]
        pre_row = memo[i-1]
        for j, ch_y in enumerate(y, 1):
            if ch_x == ch_y:
                row[j] = pre_row[j-1] + 1
            elif pre_row[j] < row[j-1]:
                row[j] = row[j-1]
            else:
                row[j] = pre_row[j]
    return memo[-1][-1]

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

Python: m = int(input())
for i in range(m):
    str1 = input()
    str2 = input()
    A = [0 for j in range(len(str2)+1)]
    for j in range(len(str1)):
        for k in range(len(str2)):
            if(str1[j]==str2[k]):
                A[k+1] = A[k]+1
            else:
                if(A[k] > A[k+1]):
                    A[k+1] = A[k]
    print(A[-1])

Python: q = int(input())

for i in range(q):
    x = input()
    y = input()
 
    l = []
    for j, s in enumerate(x):
        l.append([])
        l[j].append(0)
        if j == 0:
            l[j].append(y.find(s))
        else:
            for k, t in enumerate(l[j - 1][:-1]):
                endPos = y.find(s, t + 1)
                if endPos:
                    l[j].append(min(endPos, l[j - 1][k + 1]))
            endPos = y.find(s, l[j - 1][-1] + 1)
            if endPos:
                l[j].append(endPos)

    print(len(l[len(x) - 1]) - 1)