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Problem D
Multiplication

The score given to accepted submissions to this problem will be multiplied by 2.2
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Task

Given $N$ integers $a_1, a_2, ..., a_ N$. Calculate their product modulo $10^9 + 7$.

Input

The first line contains one integer $N$.

Then, $N$ lines follow. The $i$-th line contains integer $a_ i$.

Output

Output one integer - the product of the given numbers, taken modulo $10^9 + 7$.

Constraints

  • $1 \leq N \leq 10^3$

  • $1 \leq a_ i \leq 10^{18}$ (for all $1 \leq i \leq N$)

Subtasks

No.

Points

Additional constraints

1

35

$N \leq 5$, and all $a_ i \leq 10$.

2

64

All $a_ i \leq 10^9$.

3

1

No additional constraints.

Sample Input 1 Sample Output 1
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