using System; using System.Collections.Generic; using System.Linq; using Enu = System.Linq.Enumerable; class Solution { const int INF = (int)1e9; int N; int[] dp; void calc() { N = ri(); var dijkstra = new Algorithm.Dijkstra(N); for (int i = 1; i <= N; i++) { int bit = bitnum(i); if (i - bit > 0) dijkstra.addDirEdge(i, i - bit, 1); if (i + bit <= N) dijkstra.addDirEdge(i, i + bit, 1); } dijkstra.calcShortestPath(1); int ans = dijkstra.d[N] != INF ? dijkstra.d[N] + 1 : -1; Console.WriteLine(ans); } int bitnum(int n) { var s = Convert.ToString(n, 2); return s.Count(c => c == '1'); } static void Main(string[] args) { new Solution().calc(); } #region static int ri() { return int.Parse(Console.ReadLine()); } static int[] ria(int n) { if (n <= 0) { Console.ReadLine(); return new int[0]; } else return Console.ReadLine().Trim().Split(' ').Select(int.Parse).ToArray(); } static void rio(out int p1) { p1 = ri(); } static void rio(out int p1, out int p2) { var r = ria(2); p1 = r[0]; p2 = r[1]; } static void rio(out int p1, out int p2, out int p3) { var r = ria(3); p1 = r[0]; p2 = r[1]; p3 = r[2]; } static void rio(out int p1, out int p2, out int p3, out int p4) { var r = ria(4); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; } static void rio(out int p1, out int p2, out int p3, out int p4, out int p5) { var r = ria(5); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; p5 = r[4]; } static long rl() { return long.Parse(Console.ReadLine()); } static long[] rla(int n) { if (n <= 0) { Console.ReadLine(); return new long[0]; } else return Console.ReadLine().Trim().Split(' ').Select(long.Parse).ToArray(); } static void rlo(out long p1) { p1 = rl(); } static void rlo(out long p1, out long p2) { var r = rla(2); p1 = r[0]; p2 = r[1]; } static void rlo(out long p1, out long p2, out long p3) { var r = rla(3); p1 = r[0]; p2 = r[1]; p3 = r[2]; } static void rlo(out long p1, out long p2, out long p3, out long p4) { var r = rla(4); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; } static void rlo(out long p1, out long p2, out long p3, out long p4, out long p5) { var r = rla(5); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; p5 = r[4]; } static double rd() { return double.Parse(Console.ReadLine()); } static double[] rda(int n) { if (n <= 0) { Console.ReadLine(); return new double[0]; } else return Console.ReadLine().Trim().Split(' ').Select(double.Parse).ToArray(); } static void rdo(out double p1) { p1 = rd(); } static void rdo(out double p1, out double p2) { var r = rda(2); p1 = r[0]; p2 = r[1]; } static void rdo(out double p1, out double p2, out double p3) { var r = rda(3); p1 = r[0]; p2 = r[1]; p3 = r[2]; } static void rdo(out double p1, out double p2, out double p3, out double p4) { var r = rda(4); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; } static void rdo(out double p1, out double p2, out double p3, out double p4, out double p5) { var r = rda(5); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; p5 = r[4]; } static void swap(ref T x, ref T y) { T temp = x; x = y; y = temp; } static void wa1(T[] a) { Console.WriteLine(string.Join(" ", a)); } static void wa2(T[,] a) { for (int i = 0; i < a.GetLength(0); i++) { for (int j = 0; j < a.GetLength(1); j++) Console.Write(a[i, j] + " "); Console.WriteLine(); } } #endregion } namespace Algorithm { using T = System.Int32; // require PriorityQueue public class Dijkstra { const T INF = (T)1e9; private class edge { public int from, to; public T cost; public edge(int from, int to, T cost) { this.from = from; this.to = to; this.cost = cost; } } private int vnum; private List[] edgelists; public T[] d; private PriorityQueue> que; // Item1:最短距離, Item2:頂点番号 public Dijkstra(int vnum) { this.vnum = vnum; edgelists = new List[vnum + 1]; for (int i = 0; i < edgelists.Length; i++) edgelists[i] = new List(); d = new T[vnum + 1]; } public void addDirEdge(int v1, int v2, T cost) { edgelists[v1].Add(new edge(v1, v2, cost)); } public void addUnDirEdge(int v1, int v2, T cost) { edgelists[v1].Add(new edge(v1, v2, cost)); edgelists[v2].Add(new edge(v2, v1, cost)); } public void calcShortestPath(int s) { for (int i = 0; i < d.Length; i++) d[i] = INF; que = new PriorityQueue>((t1, t2) => t2.Item1.CompareTo(t1.Item1)); d[s] = 0; que.Push(new Tuple(0, s)); while (que.Count() != 0) { var t = que.Pop(); int v = t.Item2; if (d[v] < t.Item1) continue; foreach (var e in edgelists[v]) { if (d[e.to] > d[v] + e.cost) { d[e.to] = d[v] + e.cost; que.Push(new Tuple(d[e.to], e.to)); } } } } } public class PriorityQueue { private List buffer; private Comparison comp; // 昇順 // (e1, e2) => e2.CompareTo(e1) // 降順 // (e1, e2) => e1.CompareTo(e2) public PriorityQueue(Comparison comp) { buffer = new List(); this.comp = comp; } public PriorityQueue(Comparison comp, IEnumerable data) : this(comp) { foreach (T e in data) Push(e); } public void Push(T elem) { PushHeap(this.buffer, elem); } public T Pop() { return PopHeap(this.buffer); } public int Count() { return buffer.Count; } public T Top() { return buffer[0]; } private void PushHeap(List array, T elem) { int n = array.Count; array.Add(elem); while (n != 0) { int i = (n - 1) / 2; // 親と値を入れ替え if (comp(array[n], array[i]) > 0) { T tmp = array[n]; array[n] = array[i]; array[i] = tmp; } n = i; } } private T PopHeap(List array) { int n = array.Count - 1; T returnelem = array[0]; array[0] = array[n]; array.RemoveAt(n); for (int i = 0, j; (j = 2 * i + 1) < n; ) { // 値の大きい方の子を選ぶ if ((j != n - 1) && (comp(array[j], array[j + 1]) < 0)) j++; // 子と値を入れ替え if (comp(array[i], array[j]) < 0) { T tmp = array[j]; array[j] = array[i]; array[i] = tmp; } i = j; } return returnelem; } } }