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Use the change-making algorithm on Euro currency which has 1 cent, 2 cent, 5 cent, 10 cent, 20 cent, 50 cent, 1 Euro, 2 Euro

Use the change-making algorithm on Euro currency which has 1 cent, 2 cent, 5 cent, 10 cent, 20 cent, 50 cent, 1 Euro, 2 Euro coins. Make change for 5 Euros and 67 cents. Is this a minimal number of coins? Why or why not?

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