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: import sys
input = lambda: sys.stdin.readline().rstrip()

def lcs(x, y):
    dp = [0  for _ in range(len(y)+1)]
    for i in range(len(x)):
        tmp = dp[:]
        num = x[i]
        for j in range(len(y)):
            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: def main():
    n = int(input())
    for i in range(n):
        a = input()
        b = input()
        na=len(a)
        nb=len(b)
        array = [[1]*nb]*na
        #array = [[0 for i in range(nb)] for j in range(na)]
        print(array)
        for i in range(na):
            for j in range(nb):
                if i==0:
                    if a[i]==b[j]:
                        array[i][j]=1
                elif j==0:
                    if a[i]==b[j]:
                        array[i][j]=1
                else:
                    c = 0
                    if a[i] == b[j]:
                        c = 1
                    array[i][j] = array[i-1][j-1]+c 
                    max(
                            array[i-1][j],
                            array[i][j-1],
                            array[i-1][j-1]+c)
        print(array[na-1][nb-1])
if __name__ == "__main__":
    main()

Python: import sys


def lcs(x, y):
    # Creating len(x + 1) * len(y + 1) table
    x = ' ' + x  # Add Space
    y = ' ' + y  # Add Space
    len_x = len(x)
    len_y = len(y)
    table = []
    for _ in range(len_y):
        table.append([0] * len_x)

    maxl = 0
    for i, x_ch in enumerate(x):
        if i == 0: continue
        for j, y_ch in enumerate(y):
            if j == 0: continue
            if x[i] == y[j]:
                table[j][i] = table[j - 1][i - 1] + 1
            else:
                table[j][i] = max(table[j - 1][i], table[j][i - 1])
            maxl = max(maxl, table[j][i])

    return maxl


if __name__ == "__main__":
    lines = [line.strip() for line in sys.stdin.readlines()[1:]]
    for sequence_pair in zip(lines[::2], lines[1::2]):
        print(lcs(*sequence_pair))

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

q = int(input())
for i in range(q):
    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 calc_lcs(X, Y):
    from array import array
    max_lcs = 0
    m = len(X)
    n = len(Y)
    X = ' ' + X
    Y = ' ' + Y
    c = array('b', [0] * (1001 * 1001))
    for i in range(1, m+1):
        for j in range(1, n+1):
            if X[i] == Y[j]:
                c[i*1001 + j] = c[(i-1)*1001 + j - 1] + 1
            elif c[(i-1)*1001 + j] >= c[i*1001 + j - 1]:
                c[i*1001 + j] = c[(i-1)*1001 + j]
            else:
                c[i*1001 + j] = c[i*1001 + j - 1]
            max_lcs = max(max_lcs, c[i*1001 + j])
    return max_lcs


if __name__ == '__main__':
    # ??????????????\???
    num = int(input())
    # num = 1

    for _ in range(num):
        X = input()
        Y = input()
        # X = 'abcbdab'
        # Y = 'bdcaba'


        # ???????????????
        result = calc_lcs(X, Y)

        # ???????????¨???
        print(result)

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)
        for l, cb in enumerate(b):
            if ca == cb:
                cur[l + 1] = prev[l] + 1
            else:
                cur[l + 1] = max(cur[l], prev[l + 1])
        prev = cur
    print(prev[-1])

Python: import sys
sys.setrecursionlimit(10000)
def lcs(X, Y):
    i = len(X)
    j = len(Y)
    if not i or not j:
        return 0
    if memo[i][j] >= 0:
        return memo[i][j]
    if X[-1] == Y[-1]:
        memo[i][j] = 1 + lcs(X[:-1], Y[:-1])
        return memo[i][j]
    else:
        memo[i][j] = max(lcs(X[:-1], Y), lcs(X, Y[:-1]))
        return memo[i][j]

q = int(input())
for i in range(q):
    X = input()
    Y = input()
    memo = [[-1 for j in range(len(Y) + 1)] for i in range(len(X) + 1)]
    print(lcs(X, Y))

Python: def lcs(a_str, b_str):
    dp = [[0 for n in range(len(a))] for m in range(len(b_str))]
    for i in range(len(b_str)):
        for j in range(len(a_str)):
            if i == 0 or j == 0:
                dp[i][j] = int(a_str[j] == b_str[i])
            else:
                dp[i][j] = max(dp[i - 1][j - 1] + int(a_str[j] == b_str[i]), dp[i - 1][j], dp[i][j - 1])
    return dp[len(b_str) - 1][len(a_str) - 1]

trial = int(input())

for _ in range(trial):
    a = input()
    b = input()
    a = {k:v for k, v in enumerate(a)}
    b = {k:v for k, v in enumerate(b)}
    print(lcs(a, b))

Python: import sys

LEN_MAX = 1000
sys.setrecursionlimit(LEN_MAX + 3)

def dp_init(m, n):
    ret = []
    for i in range(m):
        ret.append([None] * n)
    return ret

def solve(str_a, str_b):
    dp = dp_init(len(str_a)+1, len(str_b)+1)
    #print(dp)
    return rec(len(str_a), len(str_b), str_a, str_b, dp, 0)

def rec(i, j, str_a, str_b, dp, depth):
    if i == 0 or j == 0:
        #print(" "*depth + "(%d, %d) : %d - zero" % (i, j, dp[i][j]))
        return 0
    if dp[i][j] is not None:
        #print(" "*depth + "(%d, %d) : %d - hit" % (i, j, dp[i][j]))
        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, depth+1) + 1
        #print(" "*depth + "(%d, %d) : %d" % (i, j, dp[i][j]))
        return dp[i][j]

    dp[i][j] = max(rec(i, j-1, str_a, str_b, dp, depth+1), rec(i-1, j, str_a, str_b, dp, depth+1))
    #print(" "*depth + "(%d, %d) : %d" % (i, j, dp[i][j]))
    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))