zondag 6 maart 2011

Euler problem 31

In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:
1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).
It is possible to make £2 in the following way:
1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p
How many different ways can £2 be made using any number of coins?


performance improvements:

1) Eliminate coin order (int i = 0 -> i = j)                 // ∞∞ -> 59 ms.
2) Stop substracting 1 pence (i<coins.Length -> i<7)  // 59 ->  1 ms.

problem31 =       73682 elapsed time:    1 ms. Test Passed.

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