  InterviewBit Academy is now Scaler Academy! # Count of rectangles with area less than the given number

Given a sorted array of distinct integers A and an integer B,
find and return how many rectangles with distinct configurations can be
created using elements of this array as length and breadth whose area
is lesser than B.

(Note that a rectangle of 2 x 3 is different from 3 x 2 if we take configuration into view)

For example:

``````A = [2 3 5],  B = 15
Answer = 6 (2 x 2, 2 x 3, 2 x 5, 3 x 2, 3 x 3, 5 x 2)
``````

Note: As the answer may be large return the answer modulo (10^9 + 7).

Input Format

``````The first argument given is the integer array A.
The second argument given is integer B.
``````

Output Format

``````Return the number of rectangles with distinct configurations with area less than B modulo (10^9 + 7).
``````

Constraints

``````1 <= length of the array <= 100000
1 <= A[i] <= 10^9
1 <= B <= 10^9
``````

For Example

``````Input 1:
A = [1, 2, 3, 4, 5]
B = 5
Output 1:
8

Input 2:
A = [5, 10, 20, 100, 105]
B = 110
Output 2:
6
``````
NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details. 