A "peak" is an entry in an integer array that is bigger than or equal to the adjacent integers, while a "valley" is an element that is smaller than or equal to the surrounding numbers. In the array, for example, 5, 8, 6, 2, 3, 4, 6 are peaks while 5, 2 are troughs. Sort an array of numbers into an alternating series of peaks and troughs. EXAMPLE Input: {5, 3, 1, 2, 3} Output: {5, 1, 3, 2, 3}

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A "peak" is an entry in an integer array that is bigger than or equal to the adjacent integers, while a "valley" is an element that is smaller than or equal to the surrounding numbers. In the array, for example, 5, 8, 6, 2, 3, 4, 6 are peaks while 5, 2 are troughs. Sort an array of numbers into an alternating series of peaks and troughs.

EXAMPLE
Input: {5, 3, 1, 2, 3}
Output: {5, 1, 3, 2, 3}

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