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from typing import List
import unittest
def making_change(amount: int) -> int:
"""
Compute the number of ways to make change for the given amount in cents using US coins.
Coins available:
- Penny (P): 1 cent
- Nickel (N): 5 cents
- Dime (D): 10 cents
- Quarter (Q): 25 cents
- Half-dollar (HD): 50 cents
Order of coin selection does not matter.
Args:
amount (int): The amount in cents (non-negative integer).
Returns:
int: The number of distinct ways to make change.
"""
coins = [1, 5, 10, 25, 50]
dp = [0] * (amount + 1)
dp[0] = 1 # There is one way to make 0 cents
for coin in coins:
for i in range(coin, amount + 1):
dp[i] += dp[i - coin]
return dp[amount]
# Unit Tests
class TestMakingChange(unittest.TestCase):
def test_example1(self):
self.assertEqual(making_change(9), 2, 'Example 1')
def test_example2(self):
self.assertEqual(making_change(15), 6, 'Example 2')
def test_example3(self):
self.assertEqual(making_change(100), 292, 'Example 3')
def test_zero_amount(self):
self.assertEqual(making_change(0), 1, 'Zero amount')
def test_negative_amount(self):
with self.assertRaises(IndexError):
making_change(-1)
if __name__ == "__main__":
unittest.main()
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