S2. High Tide, Low Tide
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second
Joe Coder is camping near the Bay of Fundy between Nova Scotia and
New Brunswick. When he arrived at the bay, he was told that the
difference in height between high tide and low tide at the Bay of Fundy
was the largest tidal difference in the world. Ever the skeptic, Joe
decided to verify this. He chose a reference point and, after learning
from the radio when the tides were highest and lowest, he went with a
boat to his reference point and measured the depth of the water.
Unfortunately, on the last day of his trip, a strong wind scattered his
measurements.
Joe has recovered all of his measurements, but they may not be in
their original order. Luckily, he remembers some things about his
measurements:
-
He started measuring water levels at a low tide, his second
measurement was of the water level at high tide, and after that the
measurements continued to alternate between low and high tides. -
All high tide measurements were higher than all low tide
measurements. -
Joe noticed that as time passed, the high tides only became
higher and the low tides only became lower.
Given Joe’s measurements in no particular order, you must reconstruct
the correct order in which the measurements were taken.
\((1 \leq N \leq 100)\)
The first line contains the integer \(N\) \((1 \leq N \leq 100)\). The next line contains \(N\) distinct space-separated positive
integers, where each integer is at most \(1\ 000\ 000\).
Output the \(N\) integers in the
unique order that Joe originally took the measurements.
8
10 50 40 7 3 110 90 210 40 7 50 3 90 2 110The low tide measurements (in order) were 10, 7, 3, and 2. The high
tide measurements (in order) were 40, 50, 90, and 110.
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S2. High Tide, Low Tide
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S2. High Tide, Low Tide