참고
https://jainn.tistory.com/82
dp = [[[0] * 21 for _ in range(21)] for _ in range(21)]
def main(a, b, c):
if a <= 0 or b <= 0 or c <= 0:
return 1
if a > 20 or b > 20 or c > 20:
return main(20, 20, 20)
if dp[a][b][c] != 0:
return dp[a][b][c]
if a < b and b < c:
dp[a][b][c] = main(a, b, c - 1) + main(a, b - 1, c - 1) - main(a, b - 1, c)
else:
dp[a][b][c] = main(a - 1, b, c) + main(a - 1, b - 1, c) + main(a - 1, b, c - 1) - main(a - 1, b - 1, c - 1)
return dp[a][b][c]
while True:
a, b, c = map(int, input().split())
if a == -1 and a == b==c:
break
print(f'w({a}, {b}, {c}) = {main(a, b, c)}')