


'''simple docstring'''


def       snake_case_       (  SCREAMING_SNAKE_CASE__							,				SCREAMING_SNAKE_CASE__					):







				"""simple docstring"""





				if n < 0:
								return 0
				# table[i] represents the number of ways to get to amount i
				_SCREAMING_SNAKE_CASE			:	Any							=				[0] * (n + 1)

				# There is exactly 1 way to get to zero(You pick no coins).
				_SCREAMING_SNAKE_CASE			:	Tuple							=				1

				# Pick all coins one by one and update table[] values
				# after the index greater than or equal to the value of the
				# picked coin
				for coin_val in s:
								for j in range(SCREAMING_SNAKE_CASE__							,				n + 1					):
												table[j] += table[j - coin_val]

				return table[n]


if __name__ == "__main__":
					import doctest

					doctest.testmod()








'''simple docstring'''


import sys







def       snake_case_       (  SCREAMING_SNAKE_CASE__							,				SCREAMING_SNAKE_CASE__					):







				"""simple docstring"""





				if not numbers:
								return 0
				if target == 0 and target in numbers:
								return 0
				if not isinstance(SCREAMING_SNAKE_CASE__							,				(list, tuple)					) or not all(
				    isinstance(SCREAMING_SNAKE_CASE__							,				SCREAMING_SNAKE_CASE__					) for number in numbers					):
								raise ValueError("""numbers must be an iterable of integers"""					)

				_SCREAMING_SNAKE_CASE			:	str							=				0
				_SCREAMING_SNAKE_CASE			:	int							=				sys.maxsize

				while right < len(SCREAMING_SNAKE_CASE__					):
								curr_sum += numbers[right]
								while curr_sum >= target and left <= right:
												_SCREAMING_SNAKE_CASE			:	Any							=				min(SCREAMING_SNAKE_CASE__							,				right - left + 1					)
												curr_sum -= numbers[left]
												left += 1
								right += 1

				return 0 if min_len == sys.maxsize else min_len




