I got tired of solving these problems. So, I just wrote a solution that works for everything.
Sum all integers from 1 to 2^n
Set some matrix elements to zero
Change the sign of even index entries of the reversed vector
Divisible by 9
Can we make a triangle?
Lights Out 7 - 5x5, x moves
Radiation Heat Transfer — View Factors (1)
Divisible by n, prime divisors (including powers)
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