ZIO 2012 solutions

Can anybody give me the solutions to ZIO 2012? Thanks.

you can download solutions ( only answers ) from iarcs website: [https://www.iarcs.org.in/inoi/current.php#ico2020]
and codechef with some updated editorials : [https://www.codechef.com/ioi/zio]
currently there are no 100% good and complete editorials for ZIO because many students think its easy and only requires some logical thinking and maths…
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