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#!/usr/bin/env python3
import sys
def making_change(remaining: int, last_coin: int | None = None) -> int:
combinations = 0
for coin in [1, 5, 10, 25, 50]:
if last_coin and last_coin < coin:
# We can't use a larger coin that the last one
continue
if coin == remaining:
# We have found a solution
combinations += 1
if coin < remaining:
# Call the function again, taking away the value of the coin
combinations += making_change(remaining-coin, coin)
# This value is returned upstream as we go
return combinations
def main():
result = making_change(int(sys.argv[1]))
print(result)
if __name__ == '__main__':
main()
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