結果

問題 No.1300 Sum of Inversions
ユーザー fairy_lettucefairy_lettuce
提出日時 2020-12-15 03:08:01
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 716 ms / 2,000 ms
コード長 13,415 bytes
コンパイル時間 1,007 ms
コンパイル使用メモリ 119,752 KB
実行使用メモリ 69,916 KB
最終ジャッジ日時 2024-09-20 01:20:14
合計ジャッジ時間 20,366 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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 32 ms
27,212 KB
testcase_01 AC 36 ms
27,368 KB
testcase_02 AC 34 ms
25,200 KB
testcase_03 AC 552 ms
62,816 KB
testcase_04 AC 530 ms
57,984 KB
testcase_05 AC 424 ms
44,064 KB
testcase_06 AC 630 ms
61,368 KB
testcase_07 AC 590 ms
60,168 KB
testcase_08 AC 672 ms
62,912 KB
testcase_09 AC 673 ms
62,992 KB
testcase_10 AC 369 ms
43,104 KB
testcase_11 AC 362 ms
43,192 KB
testcase_12 AC 586 ms
58,296 KB
testcase_13 AC 552 ms
57,728 KB
testcase_14 AC 716 ms
64,412 KB
testcase_15 AC 659 ms
62,668 KB
testcase_16 AC 574 ms
58,760 KB
testcase_17 AC 343 ms
43,904 KB
testcase_18 AC 397 ms
43,536 KB
testcase_19 AC 484 ms
55,460 KB
testcase_20 AC 505 ms
55,664 KB
testcase_21 AC 497 ms
55,360 KB
testcase_22 AC 436 ms
44,200 KB
testcase_23 AC 634 ms
61,024 KB
testcase_24 AC 446 ms
44,912 KB
testcase_25 AC 393 ms
43,168 KB
testcase_26 AC 386 ms
43,036 KB
testcase_27 AC 435 ms
43,972 KB
testcase_28 AC 680 ms
63,368 KB
testcase_29 AC 509 ms
55,672 KB
testcase_30 AC 662 ms
62,700 KB
testcase_31 AC 453 ms
44,456 KB
testcase_32 AC 447 ms
45,232 KB
testcase_33 AC 539 ms
57,124 KB
testcase_34 AC 566 ms
69,916 KB
testcase_35 AC 524 ms
62,440 KB
testcase_36 AC 551 ms
64,680 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.B
{
	public class Solver
	{
		Scanner cin;
		StreamWriter cout;

		bool isMultipleTestCases = false;

		public void Solve()
		{

			var n = cin.ReadInt();
			var a = cin.ReadLongArray(n);
			var p = a.Select((p, index) => (p, index)).OrderByDescending(p => p.p * 10000000 + p.index).ToArray();
			var seg = new SegmentTree<(ModInt a, ModInt dp2, int count, long dpCount)>(n,
				(x, y) => (x.a + y.a, x.dp2 + y.dp2, x.count + y.count, x.dpCount + y.dpCount), (0, 0, 0, 0));
			ModInt ans = 0;
			for (int i = 0; i < n; i++)
			{
				var cur = p[i].index;
				var (resA, resDp, resCount, resDpCount) = seg.GetResult(0, cur);
				seg.Update(cur, ((ModInt)a[cur], resA + resCount * a[cur], 1, resCount));
				ans += resDp + (ModInt)resDpCount * a[cur];
			}
			Console.WriteLine(ans);
		}

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

		public void Start()
		{
			int _t = 1;
			if (isMultipleTestCases) _t = cin.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 class SegmentTree<T>
	{
		public int Count { get; private set; }
		T[] tree;
		readonly Func<T, T, T> func;
		readonly T init;

		public SegmentTree(int size, Func<T, T, T> func, T init)
		{
			int n = 1;
			while (n <= size)
			{
				n *= 2;
			}
			Count = n;

			tree = Enumerable.Repeat(init, 2 * n - 1).ToArray();

			this.func = func;
			this.init = init;
		}

		public SegmentTree(IEnumerable<T> items, Func<T, T, T> func, T init) : this(items.Count(), func, init)
		{
			var array = items.ToArray();

			for (int i = 0; i < array.Length; i++)
			{
				tree[i + Count - 1] = array[i];
			}
			UpdateAll();
		}

		public T this[int index]
		{
			get => this.tree[index + Count - 1];
			private set => this.tree[index + Count - 1] = value;
		}

		public void Update(int index, T value)
		{
			index += Count - 1;
			tree[index] = value;
			while (index > 0)
			{
				index = (index - 1) / 2;
				tree[index] = func(tree[index * 2 + 1], tree[index * 2 + 2]);
			}
		}

		void UpdateAll()
		{
			int n = Count / 2;
			while (n > 0)
			{
				for (int i = 0; i < n; i++)
				{
					tree[n - 1 + i] = func(tree[2 * (n - 1 + i) + 1], tree[2 * (n - 1 + i) + 2]);
				}
				n /= 2;
			}
		}

		// Attention: [l, r). This result does not include r-th item.
		public T GetResult(int l, int r) => GetResult(l, r, 0, 0, Count);

		T GetResult(int l, int r, int k, int a, int b)
		{
			if (b <= l || r <= a) return init;
			if (l <= a && b <= r) return tree[k];

			var vl = GetResult(l, r, 2 * k + 1, a, (a + b) / 2);
			var vr = GetResult(l, r, 2 * k + 2, (a + b) / 2, b);

			return func(vl, vr);
		}
	}

	public struct ModInt : IComparable<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.CompareTo(r) > 0;
		public static bool operator <(ModInt l, ModInt r) => l.CompareTo(r) < 0;
		public static bool operator >=(ModInt l, ModInt r) => l.CompareTo(r) >= 0;
		public static bool operator <=(ModInt l, ModInt r) => l.CompareTo(r) <= 0;
		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 static ModInt Pow(long x, long n)
		{
			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 int CompareTo(ModInt x)
		{
			if (num == x.num) return 0;
			if (num > x.num) return 1;
			return -1;
		}

		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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