can any one give me hints for these problem Link

I found an editorial in Chinese so I am here for the help!!
can any one give me hints for these problem Link

I found an editorial in Chinese so I am here for the help!!
| № | Пользователь | Рейтинг |
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| Страны | Города | Организации | Всё → |
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| 6 | adamant | 137 |
| 7 | AmShZ | 135 |
| 8 | BledDest | 132 |
| 9 | maroonrk | 131 |
| 10 | qwexd | 129 |
| Название |
|---|



The last 7 pages of the official editorial include an English translation of the problem editorial.
bruh nevermind
You do realise that the value $$$2^{n-1}$$$ will require $$$O(n)$$$ space and that if statement (or even addition) will no longer be a constant operation. It'll take $$$O(n)$$$ time to do these operations (assuming you store them in a proper Big Integer datatype and not what you have written here)
how stupid of me... (1<<n) with n = 2000, sorry)