P5181 [CF888G] Xor-MST
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题目描述

You are given a complete undirected graph with n vertices. A number ai is assigned to each vertex, and the weight of an edge between vertices i and j is equal to ai xor aj.

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

Input

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

The second line contains n integers a1, a2, ..., an (0 ≤ ai < 230) — the numbers assigned to the vertices.

Output

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

输入格式

见题面 Input 部分

输出格式

见题面 Output 部分

样例输入
5 1 2 3 4 5
样例输出
8