Created
January 1, 2020 18:06
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Cheryl's birthday
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struct MonthDay: CustomStringConvertible { | |
static let months = [ | |
"January", "February", "March", "April", "May", "June", | |
"July", "August", "September", "October", "November", "December" | |
] | |
var month: Int | |
var day: Int | |
var description: String { "\(MonthDay.months[month - 1]) \(day)" } | |
private func isUniqueIn(months: [MonthDay], by prop: KeyPath<MonthDay, Int>) -> Bool { | |
return months.lazy.filter({ $0[keyPath: prop] == self[keyPath: prop] }).count == 1 | |
} | |
func monthIsUniqueIn(months: [MonthDay]) -> Bool { | |
return isUniqueIn(months: months, by: \.month) | |
} | |
func dayIsUniqueIn(months: [MonthDay]) -> Bool { | |
return isUniqueIn(months: months, by: \.day) | |
} | |
func monthWithUniqueDayIn(months: [MonthDay]) -> Bool { | |
return months.firstIndex(where: { $0.month == month && $0.dayIsUniqueIn(months: months) }) != nil | |
} | |
} | |
let choices = [ | |
MonthDay(month: 5, day: 15), | |
MonthDay(month: 5, day: 16), | |
MonthDay(month: 5, day: 19), | |
MonthDay(month: 6, day: 17), | |
MonthDay(month: 6, day: 18), | |
MonthDay(month: 7, day: 14), | |
MonthDay(month: 7, day: 16), | |
MonthDay(month: 8, day: 14), | |
MonthDay(month: 8, day: 15), | |
MonthDay(month: 8, day: 17) | |
] | |
// Albert knows the month, but not the day, so he doesn't have a gimmie month | |
let albertKnows = choices.filter({ !$0.monthIsUniqueIn(months: choices) }) | |
// Albert also knows that Bernard doesn't know, so it can't be a gimmie day | |
let bernardKnows = albertKnows.filter({ !$0.monthWithUniqueDayIn(months: albertKnows) }) | |
// Bernard now knows the birthday, so it must be a unique day within the remaining choices | |
let bernardKnowsMore = bernardKnows.filter({ $0.dayIsUniqueIn(months: bernardKnows) }) | |
// Albert knows the birthday now, so it must be a unique month within the remaining choices | |
guard let birthday = bernardKnowsMore.filter({ $0.monthIsUniqueIn(months: bernardKnowsMore) }).first else { | |
fatalError() | |
} | |
print("Cheryl's birthday is \(birthday)") |
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