LogiQuest

410. Windows With Average ≥ Threshold

MediumSliding Window

Count the subarrays of length k whose average is at least t.

Input format

Line 1: n k t Line 2: n integers

Output format

The count.

Example 1

Input

8 3 4
2 2 2 2 5 5 5 8

Output

3

Example 2

Input

5 1 3
1 3 5 2 4

Output

3

Constraints

1 ≤ k ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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