Go: // AOJ ALDS1_10_C: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C

package main

import (
	"fmt"
)

func main() {
	var dataNum int
	var s1, s2 string

	fmt.Scanf("%d", &dataNum)

	for i := 0; i < dataNum; i++ {
		fmt.Scanf("%s", &s1)
		fmt.Scanf("%s", &s2)

		lcs := make([][]int, len(s1)+1)
		for j := 0; j < len(s1)+1; j++ {
			lcs[j] = make([]int, len(s2)+1)
		}

		for m, vs1 := range s1 {
			for n, vs2 := range s2 {
				if vs1 == vs2 {
					lcs[m+1][n+1] = lcs[m][n] + 1
				} else if lcs[m+1][n] > lcs[m][n+1] {
					lcs[m+1][n+1] = lcs[m+1][n]
				} else {
					lcs[m+1][n+1] = lcs[m][n+1]
				}
			}
		}

		// Answer
		fmt.Println(lcs[len(s1)][len(s2)])
	}
}

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)

Python: q=int(input())
for i in range(q):
    s1=input()
    s2=input()
    ls1=len(s1)
    ls2=len(s2)
    f=[[0 for k in range(ls2+1)] for j in range(ls1+1)]
    for l in range(ls1+1):
        f[l][0]=0
    for l in range(ls2+1):
        f[0][l]=0
    for j in range(1,ls1+1):
        for k in range(1,ls2+1):
            if s1[j-1]==s2[k-1]:
                f[j][k]=f[j-1][k-1]+1
            else:
                f[j][k]=max(f[j-1][k],f[j][k-1])
    print(f[j][k])

Python: import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from itertools import permutations, combinations, product
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from fractions import gcd
from bisect import bisect_left

def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

def lcs(s1, s2):
    dp = []
    for s2_k in s2:
        bgn_idx = 0
        for i, cur_idx in enumerate(dp):
            chr_idx = s1.find(s2_k, bgn_idx) + 1
            if not chr_idx:
                break
            dp[i] = min(cur_idx, chr_idx)
            bgn_idx = cur_idx
        else:
            chr_idx = s1.find(s2_k, bgn_idx) + 1
            if chr_idx:
                dp.append(chr_idx)
    return len(dp)

q = INT()

for _ in range(q):
	S = input()
	T = input()
	print(lcs(S, T))

Python: q = int(input())

for k in range(q):
    x = input()
    y = input()
    lcs = [0 for i in range(len(x)+1)] 
    for i in range(1,len(y) + 1):
        lcs_2 = [i for i in lcs]
        for j in range(1,len(x) + 1):
            if x[j-1] == y[i-1]:
                lcs[j] = lcs_2[j-1] + 1  
    print(lcs[len(x)])

Python: def Ics(X, Y):
    m = len(X)
    n = len(Y)
    c1 = [0] * (n + 1)
    c2 = [0] * (n + 1)
    for i in range(m):
        d = X[i]
    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(n):
    s1 = input().rstrip()
    s2 = input().rstrip()
    t.append(Ics(s1, s2))
print(*t, sep="\n")

Python: def lcs_len(x, y):
    ly = len(y)
    tcsl = [0 for i in range(ly + 1)]
    for x_i in x:
        pre_tcsl = list(tcsl)
        for j in range(ly):
            if x_i == y[j]:
                tcsl[j] = pre_tcsl[j - 1] + 1
            else:
                tcsl[j] = max(pre_tcsl[j], tcsl[j - 1])
    print(tcsl[j])


import sys

q = int(sys.stdin.readline())

for i in range(q):
    ax = sys.stdin.readline()[:-1]
    ay = sys.stdin.readline()[:-1]
    lcs_len(ax, ay)

Python: # novel様のコードを借りて提出のテストです。失礼します
def lcs(s1, s2):
    dp = []
    for s2_k in s2:
        bgn_idx = 0
        for i, cur_idx in enumerate(dp):
            chr_idx = s1.find(s2_k, bgn_idx) + 1
            if not chr_idx:
                break
            dp[i] = min(cur_idx, chr_idx)
            bgn_idx = cur_idx
        else:
            chr_idx = s1.find(s2_k, bgn_idx) + 1
            if chr_idx:
                dp.append(chr_idx)
    return len(dp)


n = int(input())
for _ in range(n):
    x = input()
    y = input()
    print(lcs(x, y))

Python: def lcs(X, Y):
    x = len(X) + 1
    y = len(Y) + 1
    c = [[None for y in range(y)] for x in range(x)]
    for i in range(x):
        c[i][0] = 0
    for j in range(y):
        c[0][j] = 0

    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))