Days Until Next Perfect Square Year

Define a year \(x\) to be a perfect square year if and only if there exists a positive integer \(y\) such that \(x = y^2\). Given that today is March 29, 2025, compute the number of days from 2025-03-29 0:00 to the next perfect square year's January 1 0:00. Note that even if 2025 is itself a perfect square year (since \(45^2 = 2025\)), you should look for the next perfect square year, which is \(46^2 = 2116\>.

Example: The interval is calculated from 2025-03-29 0:00 to 2116-01-01 0:00. You need to account for leap years properly while computing the difference.

inputFormat

This problem does not require any input.

outputFormat

Output a single integer representing the number of days from 2025-03-29 0:00 to the next perfect square year's January 1 0:00.

sample

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33148