New Start day 1 30/09/2020 codeforces(1A Theatre Square)

Theatre Square

Question: Theatre Square

source: (https://codeforces.com/problemset/problem/1/A)

Theatre Square in the capital city of Berland has a rectangular shape with the size n × m meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size a × a.

What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square.

Input

The input contains three positive integer numbers in the first line: n,  m, and a (1 ≤  n, m, a ≤ 109).

Output

Write the needed number of flagstones.

Examples

input

6 6 4

output

4

 My Logic:

We can cover larger area than the given area so we can actually use a separate given square to cover a single 1x1 square. Devide N by A and M by A. If remainder is non zero add 1 to the number because we can use new square to cover remaining area.

Let’s suppose N/A =K and M/A = J after doing proper changes for covering smaller remaining area. (N/A +1 and M/A +1. Which is literally ceil value). We multiply K and J and we get the answer.

My code:


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