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Bebras 2019 - Level 2 Question 1

BEBRAS · Bebras 2019 - Level 2

Question 1

In the land of the beavers, the common currency is “Beavercoins”, consisting of coins with the values shown below.

Question illustration

| Coin value | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|

The beavers have a common rule: always pay using as few coins as possible. For example, to pay 17 coins, they take one 16-value coin and one 1-value coin rather than seventeen 1-value coins. What is the smallest number of coins needed to pay 13?
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