Fractals
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Problem
81% Success 215 Attempts 20 Points 1s Time Limit 256MB Memory 1024 KB Max Code
Fractals are special geometric shape that have following properties:
1. Finite area
2. Infinite perimeter
SnowFlake is a one of them.
your task is to find no. of vertices in snowflake after N iterations starting with equilateral triangle.
for explanation first 4 iterations are given in following figure:-
Input:
First line consists of Q (1<= Q <= 10^5) denotes no of test cases.
Each test case consist of single integer N (1<= N <= 10^18).
Output:
Single integer denoting no. of outward vertices in new line for each test case.
Note: answer can be very large print answer under modulo 10^9+7
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