Problem #PRU-102985

Problems Methods Examples and counterexamples. Constructive proofs Set theory and logic Algorithm Theory

Problem

On a table, there are five coins lying in a row: the middle one lies with a head facing upwards, and the rest lie with the tails side up. It is allowed to simultaneously flip three adjacent coins. Is it possible to make all five coins positioned with the heads side facing upwards with the help of several such overturns?