题目描述
Given a series of numbers 6, 14, 36, 98, 276... Identify the pattern in the series and help to identify the integer at Nth index. Indices are starting from 1.
Note: Calculate the answer modulo (10^{9}+7).
Example 1:
Input:
N = 2
Output:
14
Explanation:
14 is the 2nd integer of the Series.
Example 2:
Input:
N = 8
Output:
6818
Explanation:
6818 is the 8th integer of the Series.
Your Task:
You don't need to read input or print anything. Your task is to complete the function findNthNum() which takes an Integer N as input and returns the Nth number of the given Series.
Expected Time Complexity: O(log(N))
Expected Auxiliary Space: O(1)
Constraints:
1 <= N <= 10^{5}
输入格式
见题面
输出格式
见题面
样例输入
N = 2
样例输出
14