Central heating#219

Central heating

1 second
128 megabytes
Very easy

Two friends spent eighteen consecutive hours drinking cold milkshakes and eating ice cream. As a result, one of them caught a terrible chill, and the other decided to install central heating in his friend's lodge. The number of radiators must be calculated strictly according to Standard --. To keep things simple, he will buy only standard radiators.

According to Table of this Standard, each radiator can heat exactly cubic meters of air. The room that needs to be heated has the following dimensions:

Find the minimum number of radiators needed to ensure the lodge remains at or above the Standard's temperature requirement. If the temperature falls below the Standard, the sick friend will never recover.

Input

Four integers: , , , (1 \leq h, w, l \leq 10^5, 1 \leq k \leq 2 \cdot 10^9).

Output

Print the minimum number of radiators needed.

Examples

Example 1

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Example 2

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