Score : $200$ points
You have $A$ $500$-yen coins, $B$ $100$-yen coins and $C$ $50$-yen coins (yen is the currency of Japan). In how many ways can we select some of these coins so that they are $X$ yen in total?
Coins of the same kind cannot be distinguished. Two ways to select coins are distinguished when, for some kind of coin, the numbers of that coin are different.
Input is given from Standard Input in the following format:
$A$ $B$ $C$ $X$
Print the number of ways to select coins.
2 2 2 100
There are two ways to satisfy the condition:
5 1 0 150
Note that the total must be exactly $X$ yen.
30 40 50 6000