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题目描述

mso-hansi-font-family:"Times New Roman"">有编号从

1<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman"">到</span>n<span style="font-family:

宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">的</span>n<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";

mso-hansi-font-family:"Times New Roman"">个小朋友在玩一种出圈的游戏</span>,<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman"">编号为</span>i+1<span style="font-family:

宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">的小朋友站在编号为</span>i<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";

mso-hansi-font-family:"Times New Roman"">小朋友左边。编号为</span>1<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman"">的小朋友站在编号为</span>n<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman"">的小朋友左边。首先编号为</span>1<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman"">的小朋友开始报数，接着站在左边的小朋友顺序报数，直到数到某个数字</span>K<span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman"">时就出圈。直到所有的小朋友都出圈，则游戏完毕。游戏过程如下图所示。</span>

</p>

"Times New Roman"">

</p>

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输入格式

第一行有一个正整数n, 2 <= n <= 20，第二行有n 个整数其中第i个整数表示编号为i 的小朋友第i个出圈。

输出格式

求最小的K，如果不存在，则输出一个单词“NIE”

4
1 4 2 3

5