CF959E.Mahmoud and Ehab and the xor-MST
普及/提高-
通过率:0%
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题目描述
Ehab is interested in the bitwise-xor operation and the special graphs. Mahmoud gave him a problem that combines both. He has a complete graph consisting of n vertices numbered from 0 to n−1 . For all 0<=u<v<n , vertex u and vertex v are connected with an undirected edge that has weight (where
is the bitwise-xor operation). Can you find the weight of the minimum spanning tree of that graph?
You can read about complete graphs in https://en.wikipedia.org/wiki/Complete_graph
You can read about the minimum spanning tree in https://en.wikipedia.org/wiki/Minimum_spanning_tree
The weight of the minimum spanning tree is the sum of the weights on the edges included in it.
输入格式
The only line contains an integer n (2<=n<=1012) , the number of vertices in the graph.
输出格式
The only line contains an integer x , the weight of the graph's minimum spanning tree.
输入输出样例
输入#1
4
输出#1
4
说明/提示
In the first sample: The weight of the minimum spanning tree is 1+2+1=4.