Submission #1632294

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Source Code Expand

using System;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Net;
using static System.Console;
using static System.Math;
using static CS_Contest.Utils;
using System.Numerics;
using System.Linq.Expressions;

//using static CS_Contest.Library;

namespace CS_Contest {
	using Li = List<int>;
	using LLi = List<List<int>>;
	using Ll = List<long>;



	public class Program {
		private static void Main(string[] args) {
			var sw = new StreamWriter(OpenStandardOutput()) { AutoFlush = false };
			SetOut(sw);
			new Calc().Solve();
			Out.Flush();
		}

		public class Calc {
			public void Solve() {
				var N = ReadInt();
				var list = new Li();
				REP(N,x=>list.Add(ReadInt()));

				if (N > 8) {
					0.WL();return;
				}

				var array = list.ToArray();
				Array.Sort(array);

				long cnt = 0;
				long score = 0;
				do {
					var flip = Range(N, _ => true);
					REP(N-1, i =>
					{
						for (int j = i+1; j < N; j++)
							if (array[j] % array[i] == 0) {
								flip[j] = !flip[j];
							}
					});
					score += flip.Count(x => x);
					cnt++;
				} while (NextPermutation(array));

				$"{(double) score / cnt:0.0000000000}".WL();

				return;
			}
		}
	}

	public static class Utils {
		public static long Inf = long.MaxValue;

		public static int ModValue = (int)(1000000007);

		public static long Mod(long x) => x % ModValue;

		public static long ModPow(long x, long n) {
			long tmp = 1; while (n != 0) { if (n % 2 == 1) { tmp = Mod(tmp * x); } x = Mod(x * x); n /= 2; }
			return tmp;
		}

		public static long DivMod(long x, long y) => Mod(x * ModPow(y, (long)(1e9 + 5)));

		public static void WL(this object obj) => WriteLine(obj);

		public static void WL(this string obj) => WriteLine(obj);

		public static void WL<T>(this IEnumerable<T> list) => list.ToList().ForEach(x => x.WL());

		public static int ReadInt() => int.Parse(ReadLine());

		public static List<int> ReadInts(char s = ' ') => ReadLine().Split(s).Where(x => x != "").Select(int.Parse).ToList();

		public static long ReadLong() => long.Parse(ReadLine());

		public static List<long> ReadLongs(char s = ' ') => ReadLine().Split(s).Select(long.Parse).ToList();

		public static void ReadMulti(out int x, out int y) {
			var i = ReadInts(' ');
			x = i[0]; y = i[1];
		}

		public static void ReadMulti(out long x, out long y) {
			var i = ReadLongs(' ');
			x = i[0]; y = i[1];
		}

		public static void ReadMulti(out int x, out int y, out int z) {
			var i = ReadInts(' ');
			x = i[0]; y = i[1]; z = i[2];
		}

		public static void ReadMulti(out int x, out int y, out int z, out int v) {
			var i = ReadInts(' ');
			x = i[0]; y = i[1]; z = i[2]; v = i[3];
		}

		public static string StringJoin<T>(this IEnumerable<T> l, string separator = "") => string.Join(separator, l);

		public static List<int> SieveOfEratosthenes(int Max) {
			var primeList=new Li();
			var data = Enumerable.Range(2, Max);
			do {
				var prime = data.ElementAt(0);
				primeList.Add(prime);
				data = data.Where(x => x % prime != 0);
			} while (data.Any());
			return primeList;
		}

		public static long GCD(long m, long n) {
			long tmp;
			if (m < n) { tmp = n; n = m; m = tmp; }
			while (m % n != 0) {
				tmp = n;
				n = m % n;
				m = tmp;
			}
			return n;
		}

		public static long LCM(long m, long n) => m * (n / GCD(m, n));

		public static void REP(int n, Action<int> act) {
			for (var i = 0; i < n; i++) {
				act(i);
			}
		}

		public static void RREP(int n, Action<int> act) {
			for (var i = n - 1; i >= 0; i--) {
				act(i);
			}
		}


		public static int ManhattanDistance(int x1, int y1, int x2, int y2) => Abs(x2 - x1) + Abs(y2 - y1);

		public struct IndexT<T> {
			public T Value { get; set; }
			public int Index { get; set; }

			public IndexT(T v, int i) {
				Value = v; Index = i;
			}
			public override string ToString() {
				return Value + " " + Index;
			}
		}

		public static IEnumerable<IndexT<T>> ToIndexEnumerable<T>(this IEnumerable<T> list) => list.Select((x, i) => new IndexT<T>(x, i));

		public static Queue<T> ToQueue<T>(this IEnumerable<T> iEnumerable) {
			var rt = new Queue<T>();
			foreach (var item in iEnumerable) {
				rt.Enqueue(item);
			}
			return rt;
		}

		public static IndexT<T> IndexOfMin<T>(this IEnumerable<T> ie) where T : IComparable<T>
			=> ie.ToIndexEnumerable().Aggregate((src, acu) => (src.Value.CompareTo(acu.Value) < 0) ? src : acu);

		public static Tuple<TKey, TSource> ToTuple<TKey, TSource>(this KeyValuePair<TKey, TSource> kvp) => new Tuple<TKey, TSource>(kvp.Key, kvp.Value);

		public static IEnumerable<Tuple<TKey, TSource>> ToTupleList<TKey, TSource>(this Dictionary<TKey, TSource> d) => d.Select(_ => _.ToTuple());

		public static IEnumerable<T> When<T>(this IEnumerable<T> iEnumerable, Func<T, bool> condition, Func<T,T> filterFunc) {
			var rt = iEnumerable.ToArray();
			var index = 0;
			foreach (var item in iEnumerable) {
				rt[index] = condition(item) ? filterFunc(item) : item;
				index++;
			}
			return rt;
		}

		public static T[] Range<T>(int range,Func<int,T> func) {
			var rt = new T[range];
			for (var i = 0; i < range; i++) rt[i] = func(i);
			return rt;
		}
		public static void Swap<T>(ref T x,ref T y) {
			var tmp = x;
			x = y;
			y = tmp;
		}

		public static bool NextPermutation<T>(T[] array, int start, int length,Comparison<T> comp) {
			if (length <= 1) return false;
			for (int i = length - 1; i > 0; i--) {
				var k = i - 1;
				if (comp(array[k], array[i]) < 0) {
					var j = Array.FindLastIndex(array, x => comp(array[k], x) < 0);
					Swap(ref array[k],ref array[j]);
					Array.Reverse(array,i,length-i);
					return true;
				}
			}
			Array.Reverse(array,start,length);
			return false;
		}

		public static bool NextPermutation<T>(T[] array) =>
			NextPermutation(array, 0, array.Length, Comparer<T>.Default.Compare);

	}
}

Submission Info

Judge Result