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 main(){
	var n int 
	fmt.Scan(&n)
	dp := make([][]int, 1003)
	for i:=0; i<1003; i++ {
		dp[i] = make([]int, 1003)
	}
	input_lines := scanStringLine(2*n)
	for i:=0; i<n; i++ {
		S, T := input_lines[2*i], input_lines[2*i+1]
		lenS, lenT := len(S), len(T)
		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])
	}
}

Python: def longest_common_seq(x, y):
    m, n = len(x), len(y)
    
    dp = []
    for _ in range(m+1):
        dp.append([0]*(n+1))

    for i in range(m):
        for j in range(n):
            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[m-1][n-1]



if __name__ == '__main__':
    q = int(input())  # 1 .. 150
    for _ in range(q):
        x = input()
        y = input()
        print(x, y)
        l = longest_common_seq(x,y)
        print(l)

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


def lcs(X, Y):
    memo = dict()
    for i in range(len(X)+1):
        memo[(i, 0)] = 0
    for j in range(len(Y)+1):
        memo[(0, j)] = 0
    for i, x in enumerate(X):
        plus_flag = False
        for j, y in enumerate(Y):
            if x == y and (not plus_flag):
                memo[(i+1,j+1)] = max(memo[i, j+1], memo[i+1, j]) + 1
                plus_flag = True
            else:
                memo[(i+1,j+1)] = max(memo[i, j+1], memo[i+1, j])
    return memo[(len(X), len(Y))]


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

Python: def Ics(X, Y):
    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])
 
q = int(input().rstrip())
t = []
for i in range(q):
    s1 = input().rstrip()
    s2 = input().rstrip()
    t.append(Ics(s1, s2))
print(*t, sep = "\n")

Python: from bisect import bisect_left
q = int(input())
for _ in [0]*q:
    s1, s2 = input(), input()
    l1, l2 = len(s1), len(s2)

    p = []
    for i, c in enumerate(s1):
        s = 0
        while True:
            j = s2[s:].find(c)
            if j == -1:
                break
            p.append((i, s+j))
            s += j+1

    lis = []
    for _, y in sorted(p):
        i = bisect_left(lis, y)
        if len(lis) <= i:
            lis.append(y)
        else:
            lis[i] = y
    print(len(lis))

Python: def lcs(x, y):
    a = len(x)
    b = len(y)
    c1 = [0] * (b + 1)
    for i in range(a):
        e1 = x[i]
        c2 = c1[:]
        for j in range(b):
            if e1 == y[j]:
                c1[j + 1] = c2[j] + 1
            elif c1[j + 1] < c1[j]:
                c1[j + 1] = c1[j]
    return c1[-1]


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

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])


import sys

q = sys.stdin.readline()

while True:
    ax = sys.stdin.readline()[:-1]
    ay = sys.stdin.readline()[:-1]
    lcs(ax, ay)

Python: 
def ask(X,Y):

 a=len(X)
 b=len(Y)
 Z=[]
 c=0
 for n in range(a):
  z=0
  for i in range(n,a):
   for j in range(c,b):
    if(X[i]==Y[j]):
     z+=1
     c=j
     break
  Z.append(z)

 Z.sort();
 return Z[a-1]


q=int(input())
Z=[]
for p in range(q):
 x=input()
 X=list(x)
 y=input()
 Y=list(y)
 z=ask(X,Y)
 Z.append(z)

for p in range(q):
 print(Z[p])

Python: q = int(input())

for i in range(q):
    x = list(input())
    y = list(input())
    max_count = 0
    for j in range(len(x)):
        for k in range(len(y)):
            count = 0
            if x[j] == y[k]:
                count += 1 
                ret = j
                ret_2 = k
                while j < len(x) -1 and k < len(y) -1:
                    j += 1
                    k += 1
                    if x[j] == y[k]:
                        count += 1
                    else:
                        break
                j = ret
                k = ret_2
                max_count = max(count,max_count)
    print(max_count)

Python: """
problem statment url: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C
"""

from __future__ import division
from sys import stdin, maxint

def lcs(s1, s2):
	la, lb = len(s1), len(s2)
	dp1 = [0 for _ in range(lb + 1)]

	for i in xrange(1, la + 1):
		dp2 = dp1[0:]
		for j in xrange(1, lb + 1):
			if s1[i - 1] == s2[j - 1]:
				dp1[j] = dp2[j - 1] + 1
			else:
				dp1[j] = max(dp1[j - 1], dp2[j])

	return dp1[-1]

if __name__ == '__main__':
	tc = int(stdin.readline())
	for _ in range(tc):
		sa = stdin.readline().strip()
		sb = stdin.readline().strip()
		print(lcs(sa, sb))

Python: import sys
e=sys.stdin.readline
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]
 print(len(z)-1)

Python: def lcs_len(x, y):
    indices = [0]
    for y_i in y:
        t_index = 0
        for i, index in enumerate(indices, 1):
            c_index = x.find(y_i, t_index) + 1
            if c_index:
                if i < len(indices):
                    t_index = indices[i]
                    indices[i] = min(c_index, t_index)
                else:
                    indices.append(c_index)
                    break
    print(len(indices) - 1)


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 = list(input())
        Y = list(input())
        lcs_len(X, Y)