Write an algorithm, called Decomposition_Powers_Three, which produces the decomposition of each integer using powers of 3, namely 1, 3, 9, 27, and 81, and the + and – operators. Each power of 3 should appear at most once in the decomposition. Examples: 1 = 1 2 = 3 – 1 3 = 3 4 = 3 + 1 7 = 9 – 3 + 1 14 = 27 – 9 – 3 – 1 43 = 81 – 27 – 9 – 3 + 1 121 = 81 + 27 + 9 + 3 + 1

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Write an algorithm, called Decomposition_Powers_Three, which produces the
decomposition of each integer using powers of 3, namely 1, 3, 9, 27, and 81, and the +
and – operators. Each power of 3 should appear at most once in the decomposition.
Examples: 1 = 1

2 = 3 – 1

3 = 3

4 = 3 + 1

7 = 9 – 3 + 1

14 = 27 – 9 – 3 – 1

43 = 81 – 27 – 9 – 3 + 1

121 = 81 + 27 + 9 + 3 + 1

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