Go: package main

import (
	"fmt"
	"os"
	"strconv"
	"bufio"
	"strings"
	"sort"
)

// define
var (
	sc = bufio.NewScanner(os.Stdin)
)

func bordersInt(in_map [][]int, invalid int) [][]int{
	H, W := len(in_map), len(in_map[0])
	out_map := make([][]int, H+2)
	for h:=0; h<H+2; h++ {
		out_map[h] = make([]int, W+2)
		for w:=0; w<W+2; w++ {
			out_map[h][w] = invalid
		}
	}
	for h:=0; h<H; h++{
		for w:=0; w<W; w++{
			out_map[h+1][w+1] = in_map[h][w] 
		}
	}
	return out_map
}

func bordersString(in_map [][]string, invalid string) [][]string{
	H, W := len(in_map), len(in_map[0])
	out_map := make([][]string, H+2)
	for h:=0; h<H+2; h++ {
		out_map[h] = make([]string, W+2)
		for w:=0; w<W+2; w++ {
			out_map[h][w] = invalid
		}
	}
	for h:=0; h<H; h++{
		for w:=0; w<W; w++{
			out_map[h+1][w+1] = in_map[h][w] 
		}
	}
	return out_map
}

func scanIntLine(len int) []int{
	arr := make([]int, len)
	for i:=0; i<len; i++{
		sc.Scan()
		tmp, err := strconv.Atoi(sc.Text())
		if err == nil{
			arr[i] = tmp
		}
	}
	return arr
}

func scanStringLine(len int) []string{
	arr := make([]string, len)
	for i:=0; i<len; i++{
		sc.Scan()
		arr[i] = sc.Text()
	}
	return arr
}

func scanIntSplit(len int) []int{
	arr := make([]int, len)
	sc.Scan()
	for i, v := range strings.Split(sc.Text(), " "){
		tmp, err := strconv.Atoi(v)
		if err == nil{
			arr[i] = tmp
		}
	}
	return arr
}

func maxInt(args... int) int{
	sort.Ints(args)
	return args[len(args)-1]
}

func f() {
	var S, T string
	fmt.Scan(&S)
	fmt.Scan(&T)
	lenS, lenT := len(S), len(T)
	dp := make([][]int, lenS+1)
	for i:=0; i<lenS+1; i++ {
		dp[i] = make([]int, lenT+1)
	}
	for i:=1; i<lenS+1; i++ {
		for j:=1; j<lenT+1; j++ {
			if S[i-1] == T[j-1] {
				dp[i][j] = maxInt(dp[i-1][j-1]+1, dp[i-1][j], dp[i][j-1])
			} else {
				dp[i][j] = maxInt(dp[i-1][j], dp[i][j-1])
			}
		}
	}
	fmt.Println(dp[lenS][lenT])
}

func main(){
	var n int 
	fmt.Scan(&n)
	for i:=0; i<n; i++ {
		f()
	}
}

Python: # -*- coding: utf-8 -*-
"""
Created on Fri May  4 20:33:37 2018
ALDS1_10_C
@author: maezawa
"""

def longest(x, y):
    m = len(x)
    n = len(y)
    c = [[0 for _ in range(n+1)] for _ in range(m+1)]
    for i in range(m):
        for j in range(n):
            #print(i,j)
            if x[i] == y[j]:
                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 c[m-1][n-1]
                
    

q = int(input())

for i in range(q):
    x = input()
    y = input()
    
    print(longest(x, y))

Python: def findlcs(x, y):
    dp = [0]*(len(y)+1)
 
    for c in x:
        tmp = dp[:]
        for j in range(len(y)):
            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 k in range(q):
    X = input()
    Y = input()
    print(findlcs(X, Y))

Python: def Ics(x, y):
    a = len(x)
    b = len(y)
    c1 = [0] * (b + 1)

    for i in range(a):
        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]

q = int(input().rstrip())
r = []
for k in range(q):
    s1 = input().rstrip()
    s2 = input().rstrip()
    r.append(Ics(s1, s2))

print(*r, sep = "/n")

Python: n = int(input())
dataset = []
for i in range(n):
    x = input()
    y = input()
    dataset.append([x,y])

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
            elif dp[j+1][i]>dp[j][i+1]:
                dp[j+1][i+1] = dp[j+1][i] 
            else:
                dp[j+1][i+1] = dp[j][i+1]

    print(dp[n][m])

Python: def lcs(X, Y):
    row, colums = len(X) + 1, len(Y) + 1
    lcs_list = [[0] * colums for x in range(row)]
    for i in range(row):
        for j in range(colums):
            if i == 0 or j == 0:
                lcs_list[i][j] = 0
            elif X[i-1] == Y[j-1]:
                lcs_list[i][j] = lcs_list[i-1][j-1] + 1
            else:
                lcs_list[i][j] = max(lcs_list[i][j-1], lcs_list[i-1][j])
    return lcs_list[-1][-1]

import sys
n = int(input())
strs = [list(val) for val in sys.stdin.read().splitlines()]
result = [lcs(strs[i*2], strs[i*2+1]) for i in range(n)]
print(*result, sep="\n")

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

Python: def lcs(X,Y,p,q,Z):
    for i in range(p):
        for j in range(q):
            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: from sys import stdin
from functools import lru_cache

@lru_cache(maxsize=None)
def lcs_record(x:chr, Y:str):
    return [0] + [1 if x == v else 0 for v in list(Y)]

def len_of_LCS(X:str ,Y:str):
    len_Y = len(Y)
    p_record = [0]*(len_Y+1)
    for x in list(X):
        c_record = lcs_record(x, Y).copy()
        for i in range(1, len_Y+1):
            if c_record[i] == 1:
                c_record[i] = p_record[i-1] + 1
            else:
                c_record[i] = p_record[i] if p_record[i] > c_record[i-1] else c_record[i-1]
        p_record = c_record
    return c_record[len_Y]

n = int(stdin.readline())
lines = list()
for i in range(n*2):
    lines.append(input().rstrip('\n'))
for i in range(n):
    X = lines[i*2]
    Y = lines[i*2+1]
    print(len_of_LCS(X, Y))

Python: import pprint as p
def main():
    n = int(input())
    result = []
    for i in range(n):
        a = input()
        b = input()
        array = [[0 for i in range(len(b))] for j in range(len(a))]
        for i in range(len(a)):
            if a[i]==b[0]:
                array[i][0]=1
        for j in range(len(b)):
            if b[j]==a[0]:
                array[0][j]=1 

        for i in range(1, len(a)):
            for j in range(1, len(b)):
                c = 0
                if a[i] == b[j]:
                    c = 1
                array[i][j] = max(
                                    array[i-1][j],
                                    array[i][j-1],
                                    array[i-1][j-1]+c)
        print(array[len(a)-1][len(b)-1])
        #p.pprint(array)
        """
    for i in result:
        print(i)
        """
if __name__ == "__main__":
    main()

Python: for _ in range(int(input())):
    X = input()
    Y = input()
    dp = [[0] * (len(Y)+1) for x in range(len(X)+1)]
    for x in range(1, len(X) + 1):
        for y in range(1, len(Y) + 1):
            if X[x-1] == Y[y-1]:
                dp[x][y] = dp[x-1][y-1] + 1
            elif dp[x-1][y] > dp[x][y-1]:
                dp[x][y] = dp[x-1][y]
            else:
                dp[x][y] = dp[x][y-1]
    print(dp[-1][-1])