SOLVE

LATER

Open the locks

Problem

Editorial

Analytics

Every lock sequence in hogwarts is a sequence of length **N** and contains digits from **0 - 9** . Now there is a constraint that each lock sequence will not contain two adjacent numbers such that they sum up to a prime number.

For example 9994 is an invalid sequence of lock because 9+4 = 13 but 13 is a prime number. 9993 is a valid sequence of lock beacuse there are no two adjacent numbers such that theys sum up to a prime number.

So for the given length **N** you have to count total possible lock sequences modulo **10^9+7**

**Input**

First line contains a number **N** as input

**Output**

Output total locks possible as per the given constraints

**Constraints**

1≤ **N** ≤ 10^{5}

Explanation

There are 63 locks possible . 00 is also a valid lock sequence.

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
C,
C++,
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JavaScript(Node.js),
Julia,
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Lisp,
Lisp (SBCL),
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PHP,
Python,
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Initializing Code Editor...

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