Jungol is a spy.

As a master of disguise, he never goes out wearing the same combination of clothes as the previous day.

For example, if he wore glasses, a coat, and shoes yesterday, today he might wear sunglasses instead of glasses, or add pants, etc.

Write a program that, given the clothes (including accessories) Jungol owns, calculates the number of possible days he can go outside wearing at least one item of clothing.

Example

Suppose Jungol has the following 3 items:

hat headgear
sunglasses eyewear
turban headgear

The headgear category includes hat and turban.
The eyewear category includes sunglasses.

Then the following 5 combinations are possible:

hat
turban
sunglasses
hat + sunglasses
turban + sunglasses

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#3699

변장 1s 256MB