結果

問題 No.1531 く2
ユーザー fairy_lettucefairy_lettuce
提出日時 2021-06-04 22:58:09
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 53 ms / 2,000 ms
コード長 13,743 bytes
コンパイル時間 2,453 ms
コンパイル使用メモリ 123,892 KB
実行使用メモリ 31,428 KB
最終ジャッジ日時 2024-04-30 11:24:30
合計ジャッジ時間 6,174 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 49 ms
27,452 KB
testcase_01 AC 48 ms
27,464 KB
testcase_02 AC 48 ms
27,580 KB
testcase_03 AC 50 ms
29,504 KB
testcase_04 AC 49 ms
29,628 KB
testcase_05 AC 48 ms
29,264 KB
testcase_06 AC 49 ms
27,460 KB
testcase_07 AC 48 ms
27,596 KB
testcase_08 AC 48 ms
27,336 KB
testcase_09 AC 47 ms
25,540 KB
testcase_10 AC 47 ms
29,496 KB
testcase_11 AC 47 ms
25,416 KB
testcase_12 AC 48 ms
29,500 KB
testcase_13 AC 48 ms
25,424 KB
testcase_14 AC 48 ms
25,412 KB
testcase_15 AC 51 ms
29,628 KB
testcase_16 AC 49 ms
29,396 KB
testcase_17 AC 51 ms
29,768 KB
testcase_18 AC 49 ms
27,448 KB
testcase_19 AC 48 ms
27,464 KB
testcase_20 AC 49 ms
27,580 KB
testcase_21 AC 49 ms
27,468 KB
testcase_22 AC 50 ms
27,608 KB
testcase_23 AC 50 ms
27,596 KB
testcase_24 AC 49 ms
27,464 KB
testcase_25 AC 49 ms
25,548 KB
testcase_26 AC 49 ms
27,588 KB
testcase_27 AC 48 ms
27,464 KB
testcase_28 AC 51 ms
29,528 KB
testcase_29 AC 50 ms
25,672 KB
testcase_30 AC 51 ms
31,428 KB
testcase_31 AC 51 ms
27,600 KB
testcase_32 AC 50 ms
27,576 KB
testcase_33 AC 49 ms
27,336 KB
testcase_34 AC 49 ms
27,740 KB
testcase_35 AC 49 ms
27,588 KB
testcase_36 AC 50 ms
27,332 KB
testcase_37 AC 49 ms
25,544 KB
testcase_38 AC 49 ms
27,456 KB
testcase_39 AC 50 ms
27,456 KB
testcase_40 AC 51 ms
27,328 KB
testcase_41 AC 50 ms
27,592 KB
testcase_42 AC 49 ms
27,596 KB
testcase_43 AC 51 ms
25,536 KB
testcase_44 AC 52 ms
27,452 KB
testcase_45 AC 53 ms
29,496 KB
testcase_46 AC 50 ms
25,416 KB
testcase_47 AC 52 ms
29,524 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.IO;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Text;
using System.Globalization;
using System.Threading;

using static System.Math;

namespace FertiLib.Contest.E
{
	public class Solver
	{
		Scanner sr;
		StreamWriter sw;

		bool isMultipleTestCases = false;

		public void Solve()
		{
			var (n, k) = sr.ReadValue<long, long>();
			var ans = Solve(n, k);
			//var exp = Brute(n, k);
			Console.WriteLine(ans);
			//if (ans != exp)
			//{
			//	throw new Exception();
			//}
			//var rand = new Random();
			//while (true)
			//{
			//	n = rand.Next(0, 16);
			//	k = rand.Next(0, 16);
			//	ans = Solve(n, k);
			//	exp = Brute(n, k);
			//	if (ans != exp)
			//	{
			//		throw new Exception();
			//	}
			//}
		}

		public ModInt Brute(long n, long k)
		{
			var t = n;
			ModInt ans = 0;
			for (long i = n; i > 0; i = (i - 1) & n)
			{
				ans += ModInt.Pow(2, PopCount(k + i));
			}
			ans += ModInt.Pow(2, PopCount(k));
			return ans;
		}

		public ModInt Solve(long n, long k)
		{
			// dp[i][j] := popcount = i, j continuous 1's
			var dp = CreateArray(63, 63, (i, j) => new ModInt(0));
			ModInt ans = 0;
			//var pop = PopCount(k);
			//dp[pop][0] = 1;
			dp[0][0] = 1;
			for (int s = 63 - 1; s >= 0; s--)
			{
				var next = CreateArray(63, 63, (i, j) => new ModInt(0));
				if ((n & (1L << s)) == 0)
				{
					for (int i = 0; i < 62; i++)
					{
						for (int j = 0; j < 62; j++)
						{
							next[i + ((k & (1L << s)) > 0 ? 1 : 0)][((k & (1L << s)) > 0 ? j + 1 : 0)] += dp[i][j];
						}
					}
				}
				else
				{
					if ((k & (1L << s)) == 0)
					{
						for (int i = 0; i < 62; i++)
						{
							for (int j = 0; j < 62; j++)
							{
								if (dp[i][j] == 0) continue;
								next[i + 1][j + 1] += dp[i][j];
								next[i][0] += dp[i][j];
							}
						}
					}
					else
					{
						for (int i = 0; i < 62; i++)
						{
							for (int j = 0; j < 62; j++)
							{
								if (dp[i][j] == 0) continue;
								next[i - j + 1][0] += dp[i][j];
								next[i + 1][j + 1] += dp[i][j];
							}
						}
					}
				}
				dp = next;
			}
			for (int i = 0; i < 63; i++)
			{
				for (int j = 0; j < 63; j++)
				{
					ans += dp[i][j] * ModInt.Pow(2, i);
				}
			}
			return ans;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static int PopCount(ulong n)
		{
			n = (n & 0x5555555555555555) + (n >> 1 & 0x5555555555555555);
			n = (n & 0x3333333333333333) + (n >> 2 & 0x3333333333333333);
			n = (n & 0x0f0f0f0f0f0f0f0f) + (n >> 4 & 0x0f0f0f0f0f0f0f0f);
			n = (n & 0x00ff00ff00ff00ff) + (n >> 8 & 0x00ff00ff00ff00ff);
			n = (n & 0x0000ffff0000ffff) + (n >> 16 & 0x0000ffff0000ffff);
			n = (n & 0x00000000ffffffff) + (n >> 32 & 0x00000000ffffffff);
			return (int)n;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static int PopCount(long n) => PopCount((ulong)n);

		public Solver(Scanner cin, StreamWriter cout)
		{
			this.sr = cin;
			this.sw = cout;
		}

		public void Start()
		{
			int _t = 1;
			if (isMultipleTestCases) _t = sr.ReadInt();
			while (_t-- > 0) Solve();
		}

		public static void YESNO(bool condition) => Console.WriteLine(condition ? "YES" : "NO");
		public static void YesNo(bool condition) => Console.WriteLine(condition ? "Yes" : "No");
		public static void yesno(bool condition) => Console.WriteLine(condition ? "yes" : "no");

		public static T SignOutput<T>(int x, T pos, T zero, T neg) => x == 0 ? zero : (x > 0 ? pos : neg);

		public static T[] CreateArray<T>(int n, Func<int, T> func) => Enumerable.Range(0, n).Select(p => func(p)).ToArray();
		public static T[][] CreateArray<T>(int h, int w, Func<int, int, T> func) => Enumerable.Range(0, h).Select(i => Enumerable.Range(0, w).Select(j => func(i, j)).ToArray()).ToArray();
	}

	public struct ModInt : IEquatable<ModInt>
	{
		public static long MOD = 998244353;
		public static bool isModPrime { get; set; }

		private readonly long num;

		public ModInt(long n) { num = n; isModPrime = true; }

		public override string ToString() => num.ToString();

		public static ModInt operator +(ModInt l, ModInt r)
		{
			long x = l.num + r.num;
			if (x >= MOD) x -= MOD;
			return new ModInt(x);
		}
		public static ModInt operator -(ModInt l, ModInt r)
		{
			long x = l.num - r.num;
			if (x < 0) x += MOD;
			return new ModInt(x);
		}
		public static ModInt operator *(ModInt l, ModInt r) => new ModInt((l.num * r.num) % MOD);
		public static ModInt operator /(ModInt l, ModInt r) => l * r.Inverse();

		public static ModInt operator ++(ModInt x)
		{
			var tmp = x + new ModInt(1);
			return tmp;
		}
		public static ModInt operator --(ModInt x)
		{
			var tmp = x - new ModInt(1);
			return tmp;
		}

		public static bool operator ==(ModInt l, ModInt r) => l.Equals(r);
		public static bool operator !=(ModInt l, ModInt r) => !l.Equals(r);

		public static implicit operator long(ModInt x) => x.num;
		public static implicit operator ModInt(long n)
		{
			n %= MOD;
			if (n < 0) n += MOD;
			return new ModInt(n);
		}

		public ModInt Inverse() => Inverse(this, MOD);
		public static ModInt Inverse(ModInt x) => Inverse(x.num, MOD);
		public static long Inverse(long x, long m)
		{
			if (x % m == 0) throw new DivideByZeroException();
			long a = x, b = m, u = 1, v = 0;
			while (b > 0)
			{
				long t = a / b;

				a -= t * b;
				long p = a; a = b; b = p;   // swap(a, b);

				u -= t * v;
				p = u; u = v; v = p;        // swap(u, v);
			}
			u %= m;
			if (u < 0) u += m;
			return u;
		}

		public ModInt Pow(long n) => Pow(this, n);

		public static ModInt Pow(long x, long n)
		{
			if (n < 0) return Pow(x, -n).Inverse();
			x %= MOD;
			long now = 1;
			if (isModPrime) n %= MOD - 1;
			for (; n > 0; n /= 2, x = x * x % MOD)
			{
				if (n % 2 == 1) now = now * x % MOD;
			}
			return new ModInt(now);
		}

		public bool Equals(ModInt x) => num == x.num;

		public override bool Equals(object obj) => obj is ModInt m && num == m.num;

		public override int GetHashCode()
		{
			return HashCode.Combine(num);
		}

	}

	public static class Program
	{
		public static void Main(string[] args)
		{
			var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
			Console.SetOut(sw);
			var cin = new Scanner();
			var solver = new Solver(cin, sw);
			solver.Start();
			Console.Out.Flush();
		}
	}

	public static class Extention
	{
		public static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);

		public static int UpperBound<T>(this IList<T> list, T value) => list.BinarySearch(value, true, 0, list.Count, Comparer<T>.Default);
		public static int LowerBound<T>(this IList<T> list, T value) => list.BinarySearch(value, false, 0, list.Count, Comparer<T>.Default);
		public static int BinarySearch<T>(this IList<T> list, T value, bool isUpperBound, int index, int length, Comparer<T> comparer)
		{
			var ng = index - 1;
			var ok = index + length;
			while (ok - ng > 1)
			{
				var mid = ng + (ok - ng) / 2;
				var res = comparer.Compare(list[mid], value);
				if (res < 0 || (isUpperBound && res == 0)) ng = mid;
				else ok = mid;
			}
			return ok;
		}

		public static bool Chmax<T>(ref this T a, T b) where T : struct, IComparable<T>
		{
			if (a.CompareTo(b) >= 0) return false;
			a = b;
			return true;
		}
		public static bool Chmin<T>(ref this T a, T b) where T : struct, IComparable<T>
		{
			if (a.CompareTo(b) <= 0) return false;
			a = b;
			return true;
		}
	}

	public class Scanner
	{
		string[] s;
		int i;

		char[] separator = new char[] { ' ' };

		public Scanner()
		{
			s = new string[0];
			i = 0;
		}

		public string Read() => ReadString();

		public string ReadString()
		{
			if (i < s.Length) return s[i++];
			string st = Console.ReadLine();
			while (st == "") st = Console.ReadLine();
			s = st.Split(separator, StringSplitOptions.RemoveEmptyEntries);
			if (s.Length == 0) return ReadString();
			i = 0;
			return s[i++];
		}

		public string[] ReadStringArray(int N)
		{
			string[] Array = new string[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadString();
			}
			return Array;
		}

		public int ReadInt() => int.Parse(ReadString());

		public int[] ReadIntArray(int N, int add = 0)
		{
			int[] Array = new int[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadInt() + add;
			}
			return Array;
		}

		public long ReadLong() => long.Parse(ReadString());

		public long[] ReadLongArray(int N, long add = 0)
		{
			long[] Array = new long[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadLong() + add;
			}
			return Array;
		}

		public double ReadDouble() => double.Parse(ReadString());

		public double[] ReadDoubleArray(int N, double add = 0)
		{
			double[] Array = new double[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadDouble() + add;
			}
			return Array;
		}

		public T1 ReadValue<T1>() => (T1)Convert.ChangeType(ReadString(), typeof(T1));

		public (T1, T2) ReadValue<T1, T2>()
		{
			var inputs = ReadStringArray(2);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			return (v1, v2);
		}

		public (T1, T2, T3) ReadValue<T1, T2, T3>()
		{
			var inputs = ReadStringArray(3);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			return (v1, v2, v3);
		}

		public (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>()
		{
			var inputs = ReadStringArray(4);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			return (v1, v2, v3, v4);
		}

		public (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>()
		{
			var inputs = ReadStringArray(5);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			return (v1, v2, v3, v4, v5);
		}

		public (T1, T2, T3, T4, T5, T6) ReadValue<T1, T2, T3, T4, T5, T6>()
		{
			var inputs = ReadStringArray(6);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
			return (v1, v2, v3, v4, v5, v6);
		}

		public (T1, T2, T3, T4, T5, T6, T7) ReadValue<T1, T2, T3, T4, T5, T6, T7>()
		{
			var inputs = ReadStringArray(7);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
			var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7));
			return (v1, v2, v3, v4, v5, v6, v7);
		}

		public T1[] ReadValueArray<T1>(int N)
		{
			var v1 = new T1[N];
			for (int i = 0; i < N; i++)
			{
				v1[i] = ReadValue<T1>();
			}
			return v1;
		}

		public (T1[], T2[]) ReadValueArray<T1, T2>(int N)
		{
			var (v1, v2) = (new T1[N], new T2[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2) = ReadValue<T1, T2>();
				v1[i] = t1;
				v2[i] = t2;
			}
			return (v1, v2);
		}

		public (T1[], T2[], T3[]) ReadValueArray<T1, T2, T3>(int N)
		{
			var (v1, v2, v3) = (new T1[N], new T2[N], new T3[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3) = ReadValue<T1, T2, T3>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
			}
			return (v1, v2, v3);
		}

		public (T1[], T2[], T3[], T4[]) ReadValueArray<T1, T2, T3, T4>(int N)
		{
			var (v1, v2, v3, v4) = (new T1[N], new T2[N], new T3[N], new T4[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4) = ReadValue<T1, T2, T3, T4>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
			}
			return (v1, v2, v3, v4);
		}

		public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray<T1, T2, T3, T4, T5>(int N)
		{
			var (v1, v2, v3, v4, v5) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5) = ReadValue<T1, T2, T3, T4, T5>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
			}
			return (v1, v2, v3, v4, v5);
		}

		public (T1[], T2[], T3[], T4[], T5[], T6[]) ReadValueArray<T1, T2, T3, T4, T5, T6>(int N)
		{
			var (v1, v2, v3, v4, v5, v6) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5, t6) = ReadValue<T1, T2, T3, T4, T5, T6>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
				v6[i] = t6;
			}
			return (v1, v2, v3, v4, v5, v6);
		}

		public (T1[], T2[], T3[], T4[], T5[], T6[], T7[]) ReadValueArray<T1, T2, T3, T4, T5, T6, T7>(int N)
		{
			var (v1, v2, v3, v4, v5, v6, v7) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N], new T7[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5, t6, t7) = ReadValue<T1, T2, T3, T4, T5, T6, T7>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
				v6[i] = t6;
				v7[i] = t7;
			}
			return (v1, v2, v3, v4, v5, v6, v7);
		}
	}
}
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