complete 14856.kt

storage/zeta/kt/completed/14856.kt

@@ -0,0 +1,56 @@
+import kotlin.math.*
+
+
+val globalFibonacciSpace = Array<Long>(100, { i ->
+    if (i == 0 || i == 1) {
+        1
+    } else {
+        0
+    }
+})
+
+fun fib(i: Int): Long {
+    var spaceRef = globalFibonacciSpace[i];
+    if (spaceRef == 0L) {
+        spaceRef = fib(i - 1) + fib(i - 2)
+        globalFibonacciSpace[i] = spaceRef
+    }
+    return spaceRef
+}
+
+
+fun getCreatingFibs(n: Long): List<Long> {
+    // 제켄도르프 정리에 의해 이 표현이 항상 존재함을 보증할 수 있음
+    var curr = 90
+    var now_counter = n
+    var cfibs = mutableListOf<Long>()
+    while (curr >= 1) {
+        if (fib(curr) <= now_counter) {
+            now_counter -= fib(curr)
+            cfibs.add(fib(curr))
+            if (now_counter == 0L) {
+                break;
+            }
+            curr--;
+        }
+
+        curr--;
+    }
+
+    return cfibs
+
+}
+
+fun main() {
+    val n = readln().trim().toLong()
+
+    run {
+        val t = getCreatingFibs(n)
+        println(t.size)
+        t
+
+    }.reversed().forEach { i ->
+        print("$i ")
+    }
+    println()
+}