最大划分乘积

题目描述

Let N be a positive integer and let N be split into k equal parts, r = N/k, so that N = r + r + ... + r. Let P be the product of these parts, P = r ×r × ... × r = rk. 将正整数N分为k个相等的部分r,有r=N/k 另P=r×r×...×r=rk For example, if 11 is split into five equal parts, 11 = 2.2 + 2.2 + 2.2 + 2.2 + 2.2, then P = 2.2^5 = 51.53632. 例如，将11分为五等份 则P=2.2^5 Let M(N) = Pmax for a given value of N. 另M(N)为满足要求的对应N的最大的P It turns out that the maximum for N = 11 is found by splitting eleven into four equal parts which leads to Pmax = (11/4)^4; that is, M(11) = 14641/256 = 57.19140625, which is a terminating decimal. 容易知道，N=11时，Pmax=57.19140625，是有穷小数 However, for N = 8 the maximum is achieved by splitting it into three equal parts, so M(8) = 512/27, which is a non-terminating decimal. 而N=8时，Pmax=512/27，是无尽小数 Let D(N) = N if M(N) is a non-terminating decimal and D(N) = -N if M(N) is a terminating decimal. 设D(n)=n(若M(n)无尽),D(n)=-n(若M(n)有尽)

输入输出样例

输入样例 #1

``10``

输出样例 #1

``-15``

输入样例 #2

``100``

输出样例 #2

``2438``