Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Prepared by Ilir Capuni.
Difficulty Beta
Scientist's problem
Shqip
Question:
A chemist is looking forward to create all possible chains of length n of atoms of Plutonium (Pu) and Lead (Pb), such that each chain that is formed cannot induce an atomic explosion. An explosion could occur if a chain contains at least two consecutive atoms of Plutonium.
For example, for n=4 some of the atomic chains that the scientist can create are:
Pb-Pb-Pu-Pb
Pb-Pb-Pb-Pb
Pu-Pb-Pb-Pu
But the following chain:
Pb-Pu-Pu-Pb
will lead to an explosion, because there are two consecutive Pu atoms.
How many "safe" chains of length n are there?
Input specification
You will be one positive integer n where 1 ≤ n ≤ 35.
Output specification
Show just one integer number: the number of safe chains.
Sample Input I
10
|
Sample Input II
16
|
Sample Output I
144 |
Sample Output II
2584 |
Для отправки решений необходимо выполнить вход.
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