diff --git a/solutions/Firstsolution.txt b/solutions/Firstsolution.txt index 8b13789..2f45bd2 100644 --- a/solutions/Firstsolution.txt +++ b/solutions/Firstsolution.txt @@ -1 +1,38 @@ +Solution Strategy +The solution involves creating a fair system that gives all guests a chance to drink water eventually. Here's my proposal: +Rotating Cup Placement System + +Initial Round Setup: + +Number all guests from 1 to N +For the first round, guests place cups in numerical order (Guest 1's cup first, Guest 2's cup second, etc.) +Host fills the first cup (Guest 1) and the last cup (Guest N) + + +For Subsequent Rounds: + +Create a rotation system where: + +The order shifts by 2 positions each round +Example: Round 1: [1,2,3,...,N], Round 2: [3,4,...,N,1,2], etc. + + +Implementation: + +Each guest keeps track of their drinking turn +After each round, those who drank share a small portion with those who didn't +The rotation ensures everyone gets a turn to drink within ⌈N/2⌉ rounds + + +Enforcement Mechanism: + +Any guest who deviates from the rotation is excluded from all future rounds +Since water is a vital resource, this creates a strong incentive to cooperate + + +Anti-Cheating Measures: + +The host (you) marks the positions clearly to prevent confusion +All cup placements happen simultaneously to prevent last-second changes +Each round has a designated timekeeper among the guests