Codeforces Round #350 (Div. 2) D1

D1. Magic Powder - 1

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

This problem is given in two versions that differ only by constraints. If you can solve this problem in large constraints, then you can just write a single solution to the both versions. If you find the problem too difficult in large constraints, you can write solution to the simplified version only.

Waking up in the morning, Apollinaria decided to bake cookies. To bake one cookie, she needs n ingredients, and for each ingredient she knows the value a_i — how many grams of this ingredient one needs to bake a cookie. To prepare one cookie Apollinaria needs to use all n ingredients.

Apollinaria has b_i gram of the i-th ingredient. Also she has k grams of a magic powder. Each gram of magic powder can be turned to exactly 1 gram of any of the n ingredients and can be used for baking cookies.

Your task is to determine the maximum number of cookies, which Apollinaria is able to bake using the ingredients that she has and the magic powder.

Input

The first line of the input contains two positive integers n and k (1 ≤ n, k ≤ 1000) — the number of ingredients and the number of grams of the magic powder.

The second line contains the sequence a₁, a₂, ..., a_n (1 ≤ a_i ≤ 1000), where the i-th number is equal to the number of grams of the i-th ingredient, needed to bake one cookie.

The third line contains the sequence b₁, b₂, ..., b_n (1 ≤ b_i ≤ 1000), where the i-th number is equal to the number of grams of the i-th ingredient, which Apollinaria has.

Output

Print the maximum number of cookies, which Apollinaria will be able to bake using the ingredients that she has and the magic powder.

Examples

Input

3 1
2 1 4
11 3 16

Output

4

Input

4 3
4 3 5 6
11 12 14 20

Output

3

Note

In the first sample it is profitably for Apollinaria to make the existing 1 gram of her magic powder to ingredient with the index 2, then Apollinaria will be able to bake 4 cookies.

In the second sample Apollinaria should turn 1 gram of magic powder to ingredient with the index 1 and 1 gram of magic powder to ingredient with the index 3. Then Apollinaria will be able to bake 3 cookies. The remaining 1 gram of the magic powder can be left, because it can't be used to increase the answer.

题意：做一块曲奇需要n种原料 做一块需要每种a1..a2..an克    现拥有b1...bn每种原料 以及k克魔法面粉（可以代替1：1任何原料）

问 最多能做多少块曲奇？

题解： for循环暴力处理  每块每块地做

 #include<bits/stdc++.h>
 #include<iostream>
 #include<cstring>
 #include<cstdio>
 #include<queue>
 #include<stack>
 #include<map>
 #define ll __int64
 #define pi acos(-1.0)
 using namespace std;
 int n,k;

 struct node
 {
     int a;
     int b;
 }N[];
 int ans;
 int main()
 {
     scanf("%d %d",&n,&k);
      for(int i=;i<=n;i++)
      scanf("%d",&N[i].a);
      for(int i=;i<=n;i++)
      scanf("%d",&N[i].b);
      ans=;
      for(int j=;j<=;j++)
      {
          for(int i=;i<=n;i++)
          {
             if(N[i].b>=N[i].a)
              N[i].b=N[i].b-N[i].a;
           else
           {
                 k=k-(N[i].a-N[i].b);
                 N[i].b=;
           }
           if(i==n&&k>=)
            ans++;
         }
         if(k<=)
         break;
      }
      printf("%d\n",ans);
     return ;
 }