GenC

Tanmay and Rohit are best buddies. One day Tanmay gives Rohit a problem to test his intelligence and skills. He gives him an array of N natural numbers and asks him to solve the following queries:-

Query 0 :

0 x y

This operation modifies the element present at index x to y.

Query 1 :

1 x y 

This operation counts the number of even numbers in range x to y inclusive.

Query 2 :

2 x y 

This operation counts the number of odd numbers in range x to y inclusive.

You are given an integer ‘N’, your task is to find and return the N’th Fibonacci number using matrix exponentiation.

Since the answer can be very large, return the answer modulo 10^9 +7.

Fibonacci number is calculated using the following formula:

F(n) = F(n-1) + F(n-2), 
Where, F(1) = F(2) = 1.

For Example:

For ‘N’ = 5, the output will be 5.

• What is the average of first five multiples of 12?
• What is the difference in the place value of 5 in the numeral 754853?