Parity

题意翻译

## 题目描述： 求$\sum_{i=1}^{k} a_i\times b^{k-i}$的奇偶性。 (如果看不懂上面式子的可以去看英语题目) ## 输入格式： 第一行：$b$和$k$ 第二行：$a_1,a_2,...,a_k$ ## 输出格式： - 是奇数：输出`odd` - 是偶数：输出`even`

题目描述

You are given an integer $ n $ ( $ n \ge 0 $ ) represented with $ k $ digits in base (radix) $ b $ . So, $n = a_1 \cdot b^{k-1} + a_2 \cdot b^{k-2} + \ldots a_{k-1} \cdot b + a_k. $ For example, if $ b=17, k=3 $ and $ a=\[11, 15, 7\] $ then $ n=11\\cdot17^2+15\\cdot17+7=3179+255+7=3441 $ Determine whether $ n$ is even or odd.

输入输出格式

输入格式

The first line contains two integers $ b $ and $ k $ ( $ 2\le b\le 100 $ , $ 1\le k\le 10^5 $ ) — the base of the number and the number of digits. The second line contains $ k $ integers $ a_1, a_2, \ldots, a_k $ ( $ 0\le a_i < b $ ) — the digits of $ n $ . The representation of $ n $ contains no unnecessary leading zero. That is, $ a_1 $ can be equal to $ 0 $ only if $ k = 1 $ .

输出格式

Print "even" if $ n $ is even, otherwise print "odd". You can print each letter in any case (upper or lower).

输入输出样例

输入样例 #1

13 3
3 2 7

输出样例 #1

even

输入样例 #2

10 9
1 2 3 4 5 6 7 8 9

输出样例 #2

odd

输入样例 #3

99 5
32 92 85 74 4

输出样例 #3

odd

输入样例 #4

2 2
1 0

输出样例 #4

even

说明

In the first example, $ n = 3 \cdot 13^2 + 2 \cdot 13 + 7 = 540 $ , which is even. In the second example, $ n = 123456789 $ is odd. In the third example, $ n = 32 \cdot 99^4 + 92 \cdot 99^3 + 85 \cdot 99^2 + 74 \cdot 99 + 4 = 3164015155 $ is odd. In the fourth example $ n = 2 $ .