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A11420. Xor-MST

编程题 普及/提高-

题目描述

You are given a complete undirected graph with $n$ vertices. A number $a_{i}$ is assigned to each vertex, and the weight of an edge between vertices $i$ and $j$ is equal to $a_{i}xora_{j}$ .

Calculate the weight of the minimum spanning tree in this graph.

输入格式

The first line contains $n$ ( $1<=n<=200000$ ) — the number of vertices in the graph.

The second line contains $n$ integers $a_{1}$ , $a_{2}$ , ..., $a_{n}$ ( $0<=a_{i}<2^{30}$ ) — the numbers assigned to the vertices.

输出格式

Print one number — the weight of the minimum spanning tree in the graph.

输入输出样例

输入 #1
5
1 2 3 4 5
输出 #1
8
输入 #2
4
1 2 3 4
输出 #2
8
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