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图灵 OJTURING / ONLINE JUDGE

#F2625. Colorful Graph

    ID: 2631 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 4 上传者: 标签>枚举搜索图论算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Colorful Graph

题目描述

D. Colorful Graph
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

You've got an undirected graph, consisting of n vertices and m edges. We will consider the graph's vertices numbered with integers from 1 to n. Each vertex of the graph has a color. The color of the i-th vertex is an integer ci.

Let's consider all vertices of the graph, that are painted some color k. Let's denote a set of such as V(k). Let's denote the value of the neighbouring color diversity for color k as the cardinality of the set Q(k)={cu:cuk and there is vertex v belonging to set V(k) such that nodes v and u are connected by an edge of the graph}.

Your task is to find such color k, which makes the cardinality of set Q(k) maximum. In other words, you want to find the color that has the most diverse neighbours. Please note, that you want to find such color k, that the graph has at least one vertex with such color.

Input

The first line contains two space-separated integers n,m (1≤n,m≤105) − the number of vertices end edges of the graph, correspondingly. The second line contains a sequence of integers c1,c2,...,cn (1≤ci≤105) − the colors of the graph vertices. The numbers on the line are separated by spaces.

Next m lines contain the description of the edges: the i-th line contains two space-separated integers ai,bi (1≤ai,bin;aibi) − the numbers of the vertices, connected by the i-th edge.

It is guaranteed that the given graph has no self-loops or multiple edges.

Output

Print the number of the color which has the set of neighbours with the maximum cardinality. It there are multiple optimal colors, print the color with the minimum number. Please note, that you want to find such color, that the graph has at least one vertex with such color.

Examples
Input
6 6
1 1 2 3 5 8
1 2
3 2
1 4
4 3
4 5
4 6
Output
3
Input
5 6
4 2 5 2 4
1 2
2 3
3 1
5 3
5 4
3 4
Output
2

题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2282 题。保留原作者与原赛事署名。