Another update from ingydotnet^djgoku

This commit is contained in:
Ingy döt Net 2015-11-18 06:14:39 +00:00
parent 91df62d461
commit 948b86eafa
7604 changed files with 108452 additions and 22726 deletions

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---
category:
- Date and time
- Puzzles
note: Five weekends
note: Date and time

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startsOnFriday = (month, year) ->
# 0 is Sunday, 1 is Monday, ... 5 is Friday, 6 is Saturday
new Date(year, month, 1).getDay() == 5
has31Days = (month, year) ->
new Date(year, month, 31).getDate() == 31
checkMonths = (year) ->
month = undefined
count = 0
month = 0
while month < 12
if startsOnFriday(month, year) and has31Days(month, year)
count += 1
console.log year + ' ' + month + ''
month += 1
count
fiveWeekends = ->
startYear = 1900
endYear = 2100
year = undefined
monthTotal = 0
yearsWithoutFiveWeekends = []
total = 0
year = startYear
while year <= endYear
monthTotal = checkMonths(year)
total += monthTotal
# extra credit
if monthTotal == 0
yearsWithoutFiveWeekends.push year
year += 1
console.log 'Total number of months: ' + total + ''
console.log ''
console.log yearsWithoutFiveWeekends + ''
console.log 'Years with no five-weekend months: ' + yearsWithoutFiveWeekends.length + ''
return
fiveWeekends()

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1901 2
1902 7
1903 4
1904 0
1904 6
1905 11
1907 2
1908 4
1909 0
1909 9
1910 6
1911 11
1912 2
1913 7
1914 4
1915 0
1915 9
1916 11
1918 2
1919 7
1920 9
1921 6
1922 11
1924 7
..
Total number of months: 201
1900,1906,1917,1923,1928,1934,1945,1951,1956,1962,1973,1979,1984,1990,2001,2007,2012,2018,2029,2035,2040,2046,2057,2063,2068,2074,2085,2091,2096
Years with no five-weekend months: 29

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defmodule Date do
@months { "January", "February", "March", "April", "May", "June",
"July", "August", "September", "October", "November", "December" }
def five_weekends(year) do
for m <-[1,3,5,7,8,10,12], :calendar.day_of_the_week(year, m, 31) == 7, do: elem(@months, m-1)
end
end
months = Enum.map(1900..2100, fn year -> {year, Date.five_weekends(year)} end)
{none, months5} = Enum.partition(months, fn {_,m} -> Enum.empty?(m) end)
count = Enum.reduce(months5, 0, fn {year, months}, acc ->
IO.puts "#{year} : #{Enum.join(months, ", ")}"
acc + length(months)
end)
IO.puts "Found #{count} month with 5 weekends."
IO.puts "\nFound #{length(none)} years with no month having 5 weekends:"
IO.puts "#{inspect Enum.map(none, fn {y,_}-> y end)}"

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isdefined(:Date) || using Dates
const wday = Dates.Fri
const lo = 1900
const hi = 2100
const showres = 5
mfive = recur(Date(lo, 1):Month(1):Date(hi, 12)) do m
Dates.daysinmonth(m) == 31 && Dates.dayofweek(m) == wday
end
println("Considering the years from ", lo, " to ", hi, ".\n")
println("There are ", length(mfive), " months having 5 3-day weekends.")
println("The first ", showres, " such months are:")
for m in mfive[1:showres]
println(" ", Dates.monthname(m), " ", Dates.year(m))
end
println("\nThe last ", showres, " such months are:")
for m in mfive[end-showres+1:end]
println(" ", Dates.monthname(m), " ", Dates.year(m))
end
print("\nThere are ", length(filter(y -> !(y in year(mfive)), lo:hi)))
println(" years that have no such months.")

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# A month has 5 weekends iff it has 31 days and starts on Friday.
my @years = 1900 .. 2100;
my @ym = @years X 1, 3, 5, 7, 8, 10, 12; # Months with 31 days
my @has31 = 1, 3, 5, 7, 8, 10, 12;
my @happy = ($_ when *.day-of-week == 5 for (@years X @has31).map(-> ($y, $m) { Date.new: $y, $m, 1 }));
my @happy = @ym.map({ Date.new: $^a, $^b, 1 }).grep: { .day-of-week == 5 };
say 'Happy month count: ', +@happy;
say 'Happy month count: ', +@happy;
say 'First happy months: ' ~ @happy[^5];
say 'Last happy months: ' ~ @happy[*-5 .. *];
say 'Dreary years count: ', @years - @happy».year.uniq;
say 'Dreary years count: ', @years - @happy».year.squish;

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$fiveWeekends = @()
$yearsWithout = @()
foreach ($y in 1900..2100) {
$hasFiveWeekendMonth = $FALSE
foreach ($m in @("01","03","05","07","08",10,12)) {
if ((Get-Date "$y-$m-1").DayOfWeek -eq "Friday") {
$fiveWeekends += "$y-$m"
$hasFiveWeekendMonth = $TRUE
}
}
if ($hasFiveWeekendMonth -eq $FALSE) {
$yearsWithout += $y
}
}
Write-Output "Between the years 1900 and 2100, inclusive, there are $($fiveWeekends.count) months with five full weekends:"
Write-Output "$($fiveWeekends[0..4] -join ","),...,$($fiveWeekends[-5..-1] -join ",")"
Write-Output ""
Write-Output "Extra Credit: these $($yearsWithout.count) years have no such month:"
Write-Output ($yearsWithout -join ",")

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import java.util.Calendar._
import java.util.GregorianCalendar
import org.scalatest.{FlatSpec, Matchers}
class FiveWeekends extends FlatSpec with Matchers {
case class YearMonth[T](year: T, month: T)
implicit class CartesianProd[T](val seq: Seq[T]) {
def x(other: Seq[T]) = for(s1 <- seq; s2 <- other) yield YearMonth(year=s1,month=s2)
def -(other: Seq[T]): Seq[T] = seq diff other
}
def has5weekends(ym: { val year: Int; val month: Int}) = {
val date = new GregorianCalendar(ym.year, ym.month-1, 1)
date.get(DAY_OF_WEEK) == FRIDAY && date.getActualMaximum(DAY_OF_MONTH) == 31
}
val expectedFirstFive = Seq(
YearMonth(1901,3), YearMonth(1902,8), YearMonth(1903,5), YearMonth(1904,1), YearMonth(1904,7))
val expectedFinalFive = Seq(
YearMonth(2097,3), YearMonth(2098,8), YearMonth(2099,5), YearMonth(2100,1), YearMonth(2100,10))
val expectedNon5erYears = Seq(1900, 1906, 1917, 1923, 1928, 1934, 1945, 1951, 1956, 1962,
1973, 1979, 1984, 1990, 2001, 2007, 2012, 2018, 2029, 2035,
2040, 2046, 2057, 2063, 2068, 2074, 2085, 2091, 2096)
"Five Weekend Algorithm" should "match specification" in {
val months = (1900 to 2100) x (1 to 12) filter has5weekends
months.size shouldBe 201
months.take(5) shouldBe expectedFirstFive
months.takeRight(5) shouldBe expectedFinalFive
(1900 to 2100) - months.map(_.year) shouldBe expectedNon5erYears
}
}