You are given an integer n indicating there are n specialty retail stores. There are m product types of varying amounts, which are given as a 0-indexed integer array quantities, where quantities[i] represents the number of products of the ith product type.
You need to distribute all products to the retail stores following these rules:
\n\n0). Let x represent the maximum number of products given to any store. You want x to be as small as possible, i.e., you want to minimize the maximum number of products that are given to any store.Return the minimum possible x.
\n
Example 1:
\n\n\nInput: n = 6, quantities = [11,6]\nOutput: 3\nExplanation: One optimal way is:\n- The 11 products of type 0 are distributed to the first four stores in these amounts: 2, 3, 3, 3\n- The 6 products of type 1 are distributed to the other two stores in these amounts: 3, 3\nThe maximum number of products given to any store is max(2, 3, 3, 3, 3, 3) = 3.\n\n\n
Example 2:
\n\n\nInput: n = 7, quantities = [15,10,10]\nOutput: 5\nExplanation: One optimal way is:\n- The 15 products of type 0 are distributed to the first three stores in these amounts: 5, 5, 5\n- The 10 products of type 1 are distributed to the next two stores in these amounts: 5, 5\n- The 10 products of type 2 are distributed to the last two stores in these amounts: 5, 5\nThe maximum number of products given to any store is max(5, 5, 5, 5, 5, 5, 5) = 5.\n\n\n
Example 3:
\n\n\nInput: n = 1, quantities = [100000]\nOutput: 100000\nExplanation: The only optimal way is:\n- The 100000 products of type 0 are distributed to the only store.\nThe maximum number of products given to any store is max(100000) = 100000.\n\n\n
\n
Constraints:
\n\nm == quantities.length1 <= m <= n <= 1051 <= quantities[i] <= 105Compiled with clang 11 using the latest C++ 17 standard.
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