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//fun debugln(str: String) = println(str) | |
fun debugln(@Suppress("UNUSED_PARAMETER") unused: String) = {} | |
fun search(chainLen: Int) : List<List<Int>> { | |
assert(chainLen > 0) | |
val start = (0 until chainLen).map { it }.toList() | |
fun swap(list: List<Int>, a: IndexedValue<Int>, b: IndexedValue<Int>) : MutableList<Int> { | |
val result = list.toMutableList() | |
result[a.index] = b.value | |
result[b.index] = a.value | |
return result | |
} | |
fun permutate(prev: List<Int>) : List<Int> { | |
// Find a fixed point. If there is none, we cannot continue the permutation. | |
val a = prev.withIndex().find { it.index == it.value } | |
if (a == null) { | |
debugln("We're done!") | |
return listOf<Int>() | |
} | |
// Find a non-fixed point that won't become one after the swap. | |
// This candidate will reduce the fixeness by 1, so should come first. | |
val b = prev.withIndex().find { it.index != it.value && it.index != a.index && it.value != a.index } | |
if (b != null) { | |
debugln("Good one!") | |
return swap(prev, a, b) | |
} | |
// Find another fixed point. | |
val c = prev.withIndex().find { it.index == it.value && it.index != a.index } | |
if (c != null) { | |
debugln("So so one!") | |
return swap(prev, a, c) | |
} | |
debugln("Not found") | |
return listOf<Int>() | |
} | |
val seq : Sequence<List<Int>> = generateSequence(start, ::permutate) | |
return seq.takeWhile { !it.isEmpty() }.toList() | |
} | |
fun main() { | |
val nprobs = readLine()!!.toInt() | |
repeat(nprobs) { | |
val chainLen = readLine()!!.toInt() | |
debugln("$chainLen") | |
val result = search(chainLen) | |
println("${result.size}") | |
result.forEach { | |
println(it.map { (it + 1).toString() }.joinToString(separator=" ")) | |
} | |
} | |
} |
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