Hello Sir,
Rounding Error:-
My understanding is we need to maximize the sum of n values of 100/n,if it
is below 100%
please let me know ,my understanding is correct or not
Regards
Samuel



On Mon, Apr 30, 2018 at 8:33 AM, Si <sinze1...@gmail.com> wrote:

> Hi, I think I test all the cases but I still get WA in set1. I really wish
> to know why.
>
> My idea is to use an array from 0~N to represent the number of language
> with i votes
> Ex, [ 1, 1, 3] => [0, 2, 0, 1]  where there are two 1 vote language and a
> 3 votes language
> And use backtracking algorithm to solve it.
>
> ---------
> import math
> class Solution:
>   def __init__(self, N, nums):
>     self.N = N
>     self.best = 0
>     self.records = {}
>     self.nums = [0] * (N + 1)
>
>     # use array to track the number of  language with n votes
>     count = 0
>     for n in nums:
>       count += n
>       self.nums[n] += 1
>
>     self.chosen(self.nums, count)
>
>   def cal(self, nums):
>     total = 0
>     for i in range(1, self.N + 1):
>       if nums[i] == 0:
>         continue
>
>       total += nums[i] * round((100 * i) / self.N)
>     return total
>
>   def chosen(self, nums, count):
>     tp = tuple(nums)
>
>     if tp in self.records:
>       return
>     else:
>       self.records[tp] = True
>
>     # stop when count is N
>     if count >= self.N:
>       total = self.cal(nums)
>       if total > self.best:
>         self.best = total
>       return
>
>     for k in range(1, self.N + 1):
>       if nums[k] == 0:
>         continue
>
>       # add one to a language with k votes
>       nums[k + 1] += 1
>       nums[k] -= 1
>       self.chosen(nums, count + 1)
>       nums[k + 1] -= 1
>       nums[k] += 1
>
>     # add a new language
>     nums[1] += 1
>     self.chosen(nums, count + 1)
>     nums[1] -= 1
>
> cases = int(input())
> for T in range(1, cases + 1):
>   N, X = [int(s) for s in input().split(' ')]
>   nums = [int(s) for s in input().split(' ')]
>   solution = Solution(N, nums)
>   print('Case #%d: %d' % (T, solution.best))
> --------------------
>
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