40 Processors, adding 40 numbers
Source: Turkey NMO 1999, Problem 6
June 26, 2011
inductioncombinatorics unsolvedcombinatorics
Problem Statement
We wish to find the sum of given numbers utilizing processors. Initially, we have the number on the screen of each processor. Each processor adds the number on its screen with a number entered directly (only the given numbers could be entered directly to the processors) or transferred from another processor in a unit time. Whenever a number is transferred from a processor to another, the former processor resets. Find the least time needed to find the desired sum.