CF709A Juicer

Description

Kolya is going to make fresh orange juice. He has $ n $ oranges of sizes $ a_{1},a_{2},...,a_{n} $ . Kolya will put them in the juicer in the fixed order, starting with orange of size $ a_{1} $ , then orange of size $ a_{2} $ and so on. To be put in the juicer the orange must have size not exceeding $ b $ , so if Kolya sees an orange that is strictly greater he throws it away and continues with the next one. The juicer has a special section to collect waste. It overflows if Kolya squeezes oranges of the total size strictly greater than $ d $ . When it happens Kolya empties the waste section (even if there are no more oranges) and continues to squeeze the juice. How many times will he have to empty the waste section?

Input Format

The first line of the input contains three integers $ n $ , $ b $ and $ d $ ( $ 1

Output Format

Print one integer — the number of times Kolya will have to empty the waste section.

Explanation/Hint

In the first sample, Kolya will squeeze the juice from two oranges and empty the waste section afterwards. In the second sample, the orange won't fit in the juicer so Kolya will have no juice at all.