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A10295. Bear and Three Balls

编程题 普及/提高-
知识点

题目描述

Limak is a little polar bear. He has $n$ balls, the $i$ -th ball has size $t_{i}$ .

Limak wants to give one ball to each of his three friends. Giving gifts isn't easy — there are two rules Limak must obey to make friends happy:

- No two friends can get balls of the same size.
- No two friends can get balls of sizes that differ by more than $2$ .

For example, Limak can choose balls with sizes $4$ , $5$ and $3$ , or balls with sizes $90$ , $91$ and $92$ . But he can't choose balls with sizes $5$ , $5$ and $6$ (two friends would get balls of the same size), and he can't choose balls with sizes $30$ , $31$ and $33$ (because sizes $30$ and $33$ differ by more than $2$ ).

Your task is to check whether Limak can choose three balls that satisfy conditions above.

输入格式

The first line of the input contains one integer $n$ ( $3<=n<=50$ ) — the number of balls Limak has.

The second line contains $n$ integers $t_{1},t_{2},...,t_{n}$ ( $1<=t_{i}<=1000$ ) where $t_{i}$ denotes the size of the $i$ -th ball.

输出格式

Print "YES" (without quotes) if Limak can choose three balls of distinct sizes, such that any two of them differ by no more than $2$ . Otherwise, print "NO" (without quotes).

输入输出样例

输入 #1
4
18 55 16 17
输出 #1
YES
输入 #2
6
40 41 43 44 44 44
输出 #2
NO
输入 #3
8
5 972 3 4 1 4 970 971
输出 #3
YES

说明/提示

In the first sample, there are $4$ balls and Limak is able to choose three of them to satisfy the rules. He must must choose balls with sizes $18$ , $16$ and $17$ .

In the second sample, there is no way to give gifts to three friends without breaking the rules.

In the third sample, there is even more than one way to choose balls:

1. Choose balls with sizes $3$ , $4$ and $5$ .
2. Choose balls with sizes $972$ , $970$ , $971$ .
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