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: # -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C

????????±?????¨??????
"""
import sys
from sys import stdin
input = stdin.readline



def calc_lcs4(X, Y):
    X = ' ' + X
    Y = ' ' + Y
    m = len(X)
    n = len(Y)

    C = [[0]*(n+1) for _ in range(m+1)] #  ???????????§??¨???

    max_lcs = 0

    pre_row = C[0]
    for i in range(1, m):
        row = C[i]
        XX = X[i]
        for j, YY in enumerate(Y):
            if XX == YY:
                pr_j1 = pre_row[j - 1]
                row[j] = pr_j1 + 1
                if pr_j1+1 > max_lcs:
                   max_lcs = pr_j1 + 1
            else:
                pr_j = pre_row[j]
                r_j1 = row[j-1]
                if pr_j >= r_j1:
                    row[j] = pr_j
                else:
                    row[j] = r_j1
        pre_row = row

    print(max_lcs)


if __name__ == '__main__':
    num = int(input())

    for _ in range(num):
        X = input().strip()
        Y = input().strip()

        result = calc_lcs4(X, Y)

Python: def solve(X, Y):
    dp = [[0] * (len(Y)+1)]
    for i in range(1,len(X)+1):
        dp.append([0])
        for j in range(1,len(Y)+1):
            if X[i-1] == Y[j-1]:
                dp[i].append(dp[i-1][j-1] + 1)
            else:
                dp[i].append(max(dp[i-1][j], dp[i][j-1]))
    return dp[len(X)][len(Y)]

num = int(input())
for i in range(num):
    X = input()
    Y = input()
    print(solve(X,Y))

Python: e=input
a=[]
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]
 a+=[len(z)]
print(*a,sep='\n')

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

import numpy as np

def longest(x, y):
    m = len(x)
    n = len(y)
    maxl = 0
    c = np.zeros((m+1, n+1), dtype=int)
    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
            else:
                c[i, j] = max(c[i-1, j], c[i, j-1])
            maxl = max(maxl, c[i, j])
    return maxl

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

Python: n = int(input())
dataset = []
for i in range(n):
    tmp = []
    tmp.append(input())
    tmp.append(input())
    dataset.append(tmp)
 
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
            else:
                #dp[j+1][i+1] = max(dp[j+1][i], dp[j][i+1])
                dp[j+1][i+1] = dp[j+1][i] if dp[j+1][i]>dp[j][i+1] else dp[j][i+1]
    print(dp[n][m])

Python: def lcs_len(x, y):
    ly = len(y)
    tcsl = [0] * (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
            elif tcsl[j] < tcsl[j - 1]:
                tcsl[j] = tcsl[j - 1]
    print(tcsl[j])


q = int(input())

for i in range(q):
    ax = input()
    ay = input()
    lcs_len(ax, ay)

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(0, 0, str_a, str_b)

def rec(i, j, str_a, str_b):
    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) + 1
        return dp[i][j]
    dp[i][j] = max(rec(i, j-1, str_a, str_b), rec(i-1, j, str_a, str_b))
    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 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: #dj 16D8101012J ito jun
import sys
def search(a,b):
    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]
    return array[-1][-1]

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

Python: def solveZ(X, Y, Z, x, y):
  if x < len(X) and y < len(Y):
    ans = [solveZ(X, Y, Z, x, y+1)]
    for j in range(x, len(X)):
      if Y[y] == X[j]:
        Z2 = Z + str(Y[y])
        ans.append(solveZ(X, Y, Z2, j+1, y+1))
        break
    return max(ans)
  else:
    print(Z)
    return len(Z)

q = int(input())
ans = [[] for i in range(q)]
for i in range(q):
  X = str(input())
  Y = str(input())
  ans[i] = solveZ(X, Y, "", 0, 0)

for i in range(q):
  print(ans[i])

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):
        pre = dp[x-1]
        tmp = dp[x]
        for y in range(1, len(Y) + 1):
            if X[x-1] == Y[y-1]:
                tmp[y] = pre[y-1] + 1
            else:
                tmp[y] = max(tmp[y-1], pre[y])
    print(dp[-1][-1])

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))