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Original file line number | Diff line number | Diff line change |
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# Instructions | ||
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Correctly determine the fewest number of coins to be given to a customer such that the sum of the coins' value would equal the correct amount of change. | ||
Determine the fewest number of coins to give a customer so that the sum of their values equals the correct amount of change. | ||
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## For example | ||
## Examples | ||
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- An input of 15 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) or [5, 10] | ||
- An input of 40 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) and one quarter (25) or [5, 10, 25] | ||
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## Edge cases | ||
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- Does your algorithm work for any given set of coins? | ||
- Can you ask for negative change? | ||
- Can you ask for a change value smaller than the smallest coin value? | ||
- An amount of 15 with available coin values [1, 5, 10, 25, 100] should return one coin of value 5 and one coin of value 10, or [5, 10]. | ||
- An amount of 40 with available coin values [1, 5, 10, 25, 100] should return one coin of value 5, one coin of value 10, and one coin of value 25, or [5, 10, 25]. |
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Original file line number | Diff line number | Diff line change |
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# Introduction | ||
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In the mystical village of Coinholt, you stand behind the counter of your bakery, arranging a fresh batch of pastries. | ||
The door creaks open, and in walks Denara, a skilled merchant with a keen eye for quality goods. | ||
After a quick meal, she slides a shimmering coin across the counter, representing a value of 100 units. | ||
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You smile, taking the coin, and glance at the total cost of the meal: 88 units. | ||
That means you need to return 12 units in change. | ||
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Denara holds out her hand expectantly. | ||
"Just give me the fewest coins," she says with a smile. | ||
"My pouch is already full, and I don't want to risk losing them on the road." | ||
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You know you have a few options. | ||
"We have Lumis (worth 10 units), Viras (worth 5 units), and Zenth (worth 2 units) available for change." | ||
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You quickly calculate the possibilities in your head: | ||
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- one Lumis (1 × 10 units) + one Zenth (1 × 2 units) = 2 coins total | ||
- two Viras (2 × 5 units) + one Zenth (1 × 2 units) = 3 coins total | ||
- six Zenth (6 × 2 units) = 6 coins total | ||
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"The best choice is two coins: one Lumis and one Zenth," you say, handing her the change. | ||
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Denara smiles, clearly impressed. | ||
"As always, you've got it right." |
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