Problem
COM-B1-M06-P019 Number Game
#19
★★★☆☆ Level 3 of 5
The number \(1\) is written on a board. In one move, \(x\) may be replaced by \(x+6\) or \(x+10\). Can \(100\) be obtained?
Both increments are even.
Parity is preserved because even numbers are added. The initial number \(1\) is odd, while \(100\) is even. Impossible.
Sometimes the coarsest modulus is enough.