1. Rectangle with integral sides
2. Number divisible by N made of 0′s and 1′s
3. sum of 1/n where n does not contain 9
4. coins in a line – winning strategy
5. psycho killer path
6. sum of angles of star
7. ant on a rubber rope
8. partition 1 to 2N into pairs which sum to some prime
9. finding a bug
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