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A10216. Making a String

编程题 普及/提高-

题目描述

You are given an alphabet consisting of $n$ letters, your task is to make a string of the maximum possible length so that the following conditions are satisfied:

- the $i$ -th letter occurs in the string no more than $a_{i}$ times;
- the number of occurrences of each letter in the string must be distinct for all the letters that occurred in the string at least once.

输入格式

The first line of the input contains a single integer $n$ ( $2<=n<=26$ ) — the number of letters in the alphabet.

The next line contains $n$ integers $a_{i}$ ( $1<=a_{i}<=10^{9}$ ) — $i$ -th of these integers gives the limitation on the number of occurrences of the $i$ -th character in the string.

输出格式

Print a single integer — the maximum length of the string that meets all the requirements.

输入输出样例

输入 #1
3
2 5 5
输出 #1
11
输入 #2
3
1 1 2
输出 #2
3

说明/提示

For convenience let's consider an alphabet consisting of three letters: "a", "b", "c". In the first sample, some of the optimal strings are: "cccaabbccbb", "aabcbcbcbcb". In the second sample some of the optimal strings are: "acc", "cbc".
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