結果
| 問題 | No.2250 Split Permutation |
| ユーザー |
 KumaTachiRen
|
| 提出日時 | 2023-03-17 22:35:19 |
| 言語 | C# (.NET 8.0.404) |
| 結果 |
AC
|
| 実行時間 | 398 ms / 3,000 ms |
| コード長 | 12,710 bytes |
| コンパイル時間 | 8,455 ms |
| コンパイル使用メモリ | 166,612 KB |
| 実行使用メモリ | 190,860 KB |
| 最終ジャッジ日時 | 2024-09-18 11:41:58 |
| 合計ジャッジ時間 | 13,190 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 35 |
コンパイルメッセージ
復元対象のプロジェクトを決定しています... /home/judge/data/code/main.csproj を復元しました (102 ms)。 MSBuild のバージョン 17.9.6+a4ecab324 (.NET) main -> /home/judge/data/code/bin/Release/net8.0/main.dll main -> /home/judge/data/code/bin/Release/net8.0/publish/
ソースコード
using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.Diagnostics.Contracts;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
using static Functions;
static class Program
{
static public void Main(string[] args)
{
Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
new Solver();
Console.Out.Flush();
}
}
public class Solver
{
public Solver()
{
Solve();
}
void Solve()
{
int n = ri;
var p = new int[n];
for (int i = 0; i < n; i++) p[i] = ri - 1;
var pow2 = new ModInt[n + 1];
pow2[0] = 1;
for (int i = 0; i < n; i++) pow2[i + 1] = pow2[i] + pow2[i];
var bit_cnt = new BinaryIndexedTree<ModInt, Op>(n);
var bit_sum = new BinaryIndexedTree<ModInt, Op>(n);
ModInt ans = 0;
for (int i = 0; i < n; i++)
{
ans += bit_cnt.Sum(p[i], n) * pow2[n - 1] - bit_sum.Sum(p[i], n) * pow2[n - 1 - i];
bit_cnt.Add(p[i], 1);
bit_sum.Add(p[i], pow2[i]);
}
Write(ans);
}
struct Op : IBinaryIndexedTreeOperator<ModInt>
{
public ModInt Identity => 0;
public ModInt Addition(ModInt a, ModInt b) => a + b;
public ModInt Subtract(ModInt a, ModInt b) => a - b;
}
const long INF = 1L << 60;
int ri { get { return (int)sc.Integer(); } }
long rl { get { return sc.Integer(); } }
ulong rul { get { return sc.UInteger(); } }
double rd { get { return sc.Double(); } }
string rs { get { return sc.Scan(); } }
string rline { get { return sc.Line(); } }
public StreamScanner sc = new StreamScanner(Console.OpenStandardInput());
[MethodImpl(MethodImplOptions.AggressiveInlining)]
T[] RepArray<T>(T t, int count) => Enumerable.Repeat(t, count).ToArray();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void WriteJoin<T>(string s, IEnumerable<T> t) => Console.WriteLine(string.Join(s, t));
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void WriteMat<T>(T[,] a)
{
int sz1 = a.GetLength(0);
int sz2 = a.GetLength(1);
for (int i = 0; i < sz1; i++)
{
var s = new List<string>();
for (int j = 0; j < sz2; j++) s.Add(a[i, j].ToString());
WriteJoin(" ", s);
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Write(object t) => Console.WriteLine(t.ToString());
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Write(string str) => Console.WriteLine(str);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Write(string str, object arg1) => Console.WriteLine(str, arg1);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Write(string str, object arg1, object arg2) => Console.WriteLine(str, arg1, arg2);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Write(string str, object arg1, object arg2, object arg3) => Console.WriteLine(str, arg1, arg2, arg3);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Write(string str, params object[] arg) => Console.WriteLine(str, arg);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void WriteFlush(object t)
{ Console.WriteLine(t.ToString()); Console.Out.Flush(); }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void WriteError(object t) => Console.Error.WriteLine(t.ToString());
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void YN(bool t) => Console.WriteLine(t ? "YES" : "NO");
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Yn(bool t) => Console.WriteLine(t ? "Yes" : "No");
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void yn(bool t) => Console.WriteLine(t ? "yes" : "no");
}
public static class Functions
{
public static int Popcount(ulong x)
{
x = (x & 0x5555555555555555UL) + ((x >> 1) & 0x5555555555555555UL);
x = (x & 0x3333333333333333UL) + ((x >> 2) & 0x3333333333333333UL);
x = (x & 0x0f0f0f0f0f0f0f0fUL) + ((x >> 4) & 0x0f0f0f0f0f0f0f0fUL);
x = (x & 0x00ff00ff00ff00ffUL) + ((x >> 8) & 0x00ff00ff00ff00ffUL);
x = (x & 0x0000ffff0000ffffUL) + ((x >> 16) & 0x0000ffff0000ffffUL);
x = (x & 0x00000000ffffffffUL) + ((x >> 32) & 0x00000000ffffffffUL);
return (int)x;
}
public static int Popcount(int x)
{
x = (x & 0x55555555) + ((x >> 1) & 0x55555555);
x = (x & 0x33333333) + ((x >> 2) & 0x33333333);
x = (x & 0x0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f);
x = (x & 0x00ff00ff) + ((x >> 8) & 0x00ff00ff);
x = (x & 0x0000ffff) + ((x >> 16) & 0x0000ffff);
return x;
}
public static int Ctz(long x)
{
if (x == 0) return -1;
return Popcount((ulong)((x & -x) - 1));
}
public static int SafeMod(int x, int m)
{
int r = x % m;
return r < 0 ? r + m : r;
}
public static long SafeMod(long x, long m)
{
long r = x % m;
return r < 0 ? r + m : r;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static int Sign(long x) => x == 0 ? 0 : (x < 0 ? -1 : 1);
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static int DigitSum(long n, int d = 10) { long s = 0; while (n > 0) { s += n % d; n /= d; } return (int)s; }
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Floor(long a, long b) => a >= 0 ? a / b : (a + 1) / b - 1;
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Ceil(long a, long b) => a > 0 ? (a - 1) / b + 1 : a / b;
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap(ref int x, ref int y) { x ^= y; y ^= x; x ^= y; }
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap(ref long x, ref long y) { x ^= y; y ^= x; x ^= y; }
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap<T>(ref T x, ref T y) { T t = y; y = x; x = t; }
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static T Clamp<T>(T x, T l, T r) where T : IComparable<T> => x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static T Clamp<T>(ref T x, T l, T r) where T : IComparable<T> => x = x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Chmin<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) > 0) x = y; }
[MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Chmax<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) < 0) x = y; }
public static int LowerBound<T>(T[] arr, Func<T, int> comp, int l = -1, int r = -1) => LowerBound<T>(arr.AsSpan<T>(), comp, l, r);
public static int LowerBound<T>(Span<T> data, Func<T, int> comp, int l = -1, int r = -1)
{
if (data.Length == 0) return -1;
if (l == -1) l = 0;
if (r == -1) r = data.Length;
while (l < r)
{
int x = (l + r) / 2;
if (comp(data[x]) < 0) l = x + 1;
else r = x;
}
return l;
}
}
public class StreamScanner
{
public StreamScanner(Stream stream) { str = stream; }
private readonly Stream str;
private readonly byte[] buf = new byte[1024];
private int len, ptr;
public bool isEof = false;
public bool IsEndOfStream { get { return isEof; } }
private byte read()
{
if (isEof) throw new EndOfStreamException();
if (ptr >= len)
{
ptr = 0;
if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; }
}
return buf[ptr++];
}
public char Char()
{
byte b = 0;
do b = read();
while (b < 33 || 126 < b);
return (char)b;
}
public string Line()
{
var sb = new StringBuilder();
for (var b = Char(); b != 10 && !isEof; b = (char)read()) sb.Append(b);
return sb.ToString();
}
public string Scan()
{
var sb = new StringBuilder();
for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b);
return sb.ToString();
}
public long Integer()
{
long ret = 0; byte b = 0; var ng = false;
do b = read();
while (b != '-' && (b < '0' || '9' < b));
if (b == '-') { ng = true; b = read(); }
for (; true; b = read())
{
if (b < '0' || '9' < b) return ng ? -ret : ret;
else ret = ret * 10 + b - '0';
}
}
public ulong UInteger()
{
ulong ret = 0; byte b = 0;
do b = read();
while (b < '0' || '9' < b);
for (; true; b = read())
{
if (b < '0' || '9' < b) return ret;
else ret = ret * 10 + b - '0';
}
}
public double Double() { return double.Parse(Scan()); }
}
struct ModInt
{
public static long Mod = 998244353;
public long Val { get; private set; }
public ModInt(long v) { Val = SafeMod(v, Mod); }
public override string ToString() { return Val.ToString(); }
public override bool Equals(object obj) => obj is ModInt other && this.Equals(other);
public bool Equals(ModInt x) => Val == x.Val;
public override int GetHashCode() => Val.GetHashCode();
public static bool operator ==(ModInt a, ModInt b) { return a.Val == b.Val; }
public static bool operator !=(ModInt a, ModInt b) { return a.Val != b.Val; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static implicit operator ModInt(long n) => new ModInt(SafeMod(n, Mod));
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator +(ModInt a, ModInt b)
{
long r = a.Val + b.Val;
return new ModInt(r < Mod ? r : r - Mod);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator -(ModInt a, ModInt b)
{
long r = a.Val - b.Val;
return new ModInt(r < 0 ? r + Mod : r);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator -(ModInt a) => new ModInt(a.Val == 0 ? 0 : Mod - a.Val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator *(ModInt a, ModInt b) => new ModInt(a.Val * b.Val % Mod);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ModInt operator /(ModInt a, ModInt b) => a * b.Inv();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Pow(long n)
{
long t = Val, r = 1;
while (n > 0)
{
if ((n & 1) == 1) r = r * t % Mod;
t = t * t % Mod;
n >>= 1;
}
return new ModInt(r);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ModInt Inv() => Gcd(Val, Mod).x;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static (long x, long y, long g) Gcd(long a, long b)
{
if (b == 0) return a >= 0 ? (1, 0, a) : (-1, 0, -a);
long c = a % b;
if (c < 0) c += b;
var r = Gcd(b, c);
long x = SafeMod(r.y, b);
long g = r.g;
long y = (g - a * x) / b;
return (x, y, g);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static long SafeMod(long x, long m)
{
long r = x % m;
return r < 0 ? r + m : r;
}
}
public interface IBinaryIndexedTreeOperator<T>
{
T Identity { get; }
T Addition(T x, T y);
T Subtract(T x, T y);
}
class BinaryIndexedTree<T, Op> where Op : IBinaryIndexedTreeOperator<T>
{
private static readonly Op op = default;
public int Length { get; }
public readonly T[] data;
public BinaryIndexedTree(int n)
{
Length = n;
data = new T[Length + 1];
Array.Fill(data, op.Identity);
}
[MethodImpl(256)]
public void Add(int p, T x)
{
for (p++; p < data.Length; p += p & -p) data[p] = op.Addition(data[p], x);
}
[MethodImpl(256)]
public T Sum(int l, int r) => op.Subtract(Sum(r), Sum(l));
[MethodImpl(256)]
public T Sum(int x)
{
T s = op.Identity;
for (; x > 0; x -= x & -x) s = op.Addition(s, data[x]);
return s;
}
}