Created
January 6, 2016 22:10
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case class Pyramide(a1: Int, a2: Int, a3: Int, a4: Int) { | |
val sum11 = a1 + a2 | |
val sum12 = a2 + a3 | |
val sum13 = a3 + a4 | |
val sum21 = sum11 + sum12 | |
val sum22 = sum12 + sum13 | |
val sum = sum21 + sum22 | |
override def toString: String = | |
s""" | |
> | $sum | | |
> | $sum21 | $sum22 | | |
> | $sum11 | $sum12 | $sum13 | | |
>| $a1 | $a2 | $a3 | $a4 |""".stripMargin('>') | |
} | |
val allPyramides = List(75, 134, 182, 215).permutations.map(l ⇒ Pyramide(l(0), l(1), l(2), l(3))).toList | |
println("all pyramides:\n" + allPyramides.mkString("\n")) | |
println(allPyramides.size + " possible pyramides") | |
println(allPyramides.groupBy(_.sum).keys.size + " different sum at the end") | |
for (depart ← 1 to 250) { | |
val pyramides = List(depart, depart + 1, depart + 2, depart + 3).permutations.map(l ⇒ Pyramide(l(0), l(1), l(2), l(3))).toList | |
pyramides.filter(_.sum == 1000).foreach(println) | |
} | |
for (sum ← 1000 to 1100 ; depart ← 1 to 250) { | |
val pyramide = Pyramide(depart, depart + 1, depart + 2, depart + 3) | |
if (pyramide.sum == sum) println(pyramide) | |
} |
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