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: q = int(input())
t = []
for i in range(q):
    X = input()
    Y = input()
    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]
    print(c1[-1])

Python: # -*- coding: utf-8 -*-
def lcs_sol(x, y):
    n = len(x)
    m = len(y)
    dp = [0 for j in range(m + 1)]

    for i in range(1, n + 1):
        dp_prev = dp[:]
        for j in range(1, m + 1):
            if x[i - 1] == y[j - 1]:
                dp[j] = dp_prev[j - 1] + 1
            elif dp_prev[j] < dp[j - 1]:
                dp[j] = dp[j - 1]

    return dp[m]


if __name__ == '__main__':
    import sys
    q = int(sys.stdin.readline().strip())
    for i in range(q):
        x = sys.stdin.readline().strip()
        y = sys.stdin.readline().strip()
        print(lcs_sol(x, y))

Python: 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())
        print(answer(X, Y))

Python: def lcs(X, Y):
    costs = [0]
    for c in Y:
        for i in range(len(costs) - 1, -1, -1):
            tmp = X.find(c, costs[i])
            if tmp + 1:
                if i + 1 < len(costs):
                    costs[i + 1] = min(costs[i + 1], tmp + 1)
                else:
                    costs.append(tmp + 1)
    return len(costs) - 1

n = int(input())
for _ in range(n):
    X, Y = (input() for _ in range(2))
    print(lcs(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('\n'.join(map(str,a)))

Python: import sys

def lcm(c,i, j):
    if c[i][j]>0: return c[i][j]        
    if i==0 or j==0:
        return 0
    elif x[i]==y[j]:
        c[i][j] = lcm(c,i-1,j-1)+1
        return c[i][j]
    else:
        c[i][j] = max(lcm(c,i,j-1), lcm(c,i-1,j))
        return c[i][j]

for _ in range(int(sys.stdin.readline())):
    x = sys.stdin.readline()
    y = sys.stdin.readline()
    c = [[0 for _ in range(len(y)+1)] for _ in range(len(x)+1)] 
    print(lcm(c,len(x)-1,len(y)-1))

Python: def findlcs(x, y):
    dp = [[0]*(len(y)+1) for i in range(len(x)+1)]

    for i in range(1, len(x)+1):
        for j in range(1, len(y)+1):
            if x[i-1] == y[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(x)][len(y)]


q = int(input())
for k in range(q):
    X = input()
    Y = input()
    print(findlcs(X, Y))

Python: 
def f(x,y):
	list=[0]
	for z in y:
		for i in range(len(list)-1,-1,-1):
			tmp=x.find(z,list[i])+1
			if tmp:
				if i+1 < len(list):
					list[i+1]=min(list[i+1],tmp)
				else:
					list.append(tmp)
	return len(list)-1
 
n=int(input())
for i in range(n):
	x=input()
	y=input()
	print(f(x,y))

Python: pcsl = [[0 for i in range(1001)] for j in range(1001)]

def lcs(x, y):
    lx = len(x)
    ly = len(y)
    for i in range(lx):
        for j in range(ly):
            if x[i] == y[j]:
                pcsl[i][j] = pcsl[i - 1][j - 1] + 1
            elif pcsl[i - 1][j] > pcsl[i][j - 1]:
                pcsl[i][j] = pcsl[i - 1][j]
            else:
                pcsl[i][j] = pcsl[i][j - 1]
    print(pcsl[i][j])


q = int(input())

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

Python: a=[]
for _ in[0]*int(input()):
 X,z=input(),[]
 for y in input():
  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 Ics(X, Y):
    m = len(X)
    n = len(Y)
    c1, 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 common():
   X = raw_input()
   Y = raw_input()
             
   for i in range(0, len(Y)+1):
      s[i] = 0
             
   for j in range(0, len(X)):
      t = s + []
      for k in range(0, len(Y)):
         if s[j] == j[k]:
            s[k+1] = t[k] + 1
         elif s[k+1] < s[k]:
            s[k+1] = s[k]
          
   return s[-1]
    
q = input()     
for l in range(0, q):
   common()

Python: n = int(input())

for k in range(n):
    a = input()
    b = input()
    len_a, len_b = len(a), len(b)
    table = [[0] * (len_b +1) for i in range(len_a + 1)]
    
    for i in range(1,len_a+1):
        for j in range(1,len_b+1):
            if a[i-1] == b[j-1]:
                table[i][j] = table[i-1][j-1] + 1
            else:
                table[i][j] = max(table[i-1][j],table[i][j-1])
    print(table[len_a][len_b])

Python: def calc(x,y):
    n = len(x)
    m = len(y)
    dp1 = [0]*(m+1)
    for i in range(n):
        s = x[i]
        dp2 = dp1[:]
        for j in range(m):
            if s == y[j]:
                dp1[j+1] = dp2[j]+1
            elif dp1[j+1] < dp1[j]:
                dp1[j+1] = dp1[j]
    return dp1[-1]

q = int(input().rstrip())
ans = []
for i in range(q):
    x = input()
    y = input()
    ans.append(calc(x,y))
print(*ans, sep="\n")

Python: import sys

n=int(input())

for _ in range(n):
	x=sys.stdin.readline().rstrip('\r\n')
	y=sys.stdin.readline().rstrip('\r\n')
	
	list=[0]
	for z in y:
		for i in range(len(list)-1,-1,-1):
			tmp=x.find(z,list[i])
			if tmp+1:
				if i+1<len(list):
					list[i+1]=min(tmp+1,list[i+1])
				else:
					list.append(tmp+1)
print(len(list)-1)

Python: a = (int)(input())
for i in range(a):
    str1 = input()
    str2 = input()
    size1 = len(str1)
    size2 = len(str2)
    dp = [[0 for j in range(size2+1)] for k in range(size1+1)]

    for j in range(1,size1+1):
        for k in range(1,size2+1):
            if str1[j-1]==str2[k-1]:
                dp[j][k] = max([dp[j-1][k],dp[j][k-1],dp[j-1][k-1]+1])
            else:
                dp[j][k] = max([dp[j-1][k],dp[j][k-1],dp[j-1][k-1]])

    print(dp[size1][size2])