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# solving this recursively is an interesting solution
import itertools
set_list = set()
permutation_list = list(itertools.combinations(list([1, 2, 5, 10, 20, 50, 100, 200]), 2))
success_count = 0
def recursive_coin_add(value, ciel):
if value == ciel:
global success_count
success_count += 1
return
if 1 + value <= ciel:
recursive_coin_add(1 + value, ciel)
if 2 + value <= ciel:
recursive_coin_add(2 + value, ciel)
if 5 + value <= ciel:
recursive_coin_add(5 + value, ciel)
if 10 + value <= ciel:
recursive_coin_add(10 + value, ciel)
if 20 + value <= ciel:
recursive_coin_add(20 + value, ciel)
if 50 + value <= ciel:
recursive_coin_add(50 + value, ciel)
if 100 + value <= ciel:
recursive_coin_add(100 + value, ciel)
if 200 + value <= ciel:
recursive_coin_add(200 + value, ciel)
recursive_coin_add(0, 200)
print(success_count)