Three numbers were written with a chalk on the blackboard. The following operation was repeated several times: One of the numbers was cleared and the sum of two other numbers, decreased by 1, was written instead of it. The final set of numbers is {17,1967,1983}.Is it possible to admit that the initial numbers were a) {2,2,2}? b) {3,3,3}? number theorycombinatoricsgame strategyblackboard