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First solution in Clear category for Feed Pigeons by mihassan
def checkio(number):
arrival, total, portion = 0, 0, 0
while number > portion:
arrival += 1
total += arrival
portion += total
return (total - arrival) + max(number - (portion - total) - (total - arrival), 0)
if __name__ == '__main__':
#These "asserts" using only for self-checking and not necessary for auto-testing
assert checkio(1) == 1, "1st example"
assert checkio(2) == 1, "2nd example"
assert checkio(5) == 3, "3rd example"
assert checkio(10) == 6, "4th example"
Dec. 28, 2014