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Time Limit: 1 s Memory Limit: 256 MB Total points: 100

#973. 合成數列

Statistics

若一個正整數數列 $S$ 存在一個非空子序列 $T$,使得 $T$ 中所有整數的和為一個合數,則稱 $S$ 為一個合數數列(composite sequence)。

給定 $S$,你的任務是判斷 $S$ 是否為一個合數數列。

請注意,1 不是合數。

回顧一下,$T$ 是 $S$ 的子序列,若且唯若我們可以透過移除 $S$ 中的某些元素(可能為零個或全部)來得到 $T$。

輸入格式

第一行包含一個整數 $n$ ($1 \le n \le 10^5$),代表 $S$ 的長度。 第二行包含 $n$ 個整數 $S_1, S_2, \dots, S_n$:代表 $S$ 的元素 ($1 \le S_i \le 10^9$)。

輸出格式

若 $S$ 為合數數列,輸出「Yes」。否則,輸出「No」。

範例

輸入 1

2
5 7

輸出 1

Yes

輸入 2

1
97

輸出 2

No

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