結果
| 問題 | No.2250 Split Permutation |
| ユーザー |
 yupiteru_kun
|
| 提出日時 | 2023-03-17 21:47:19 |
| 言語 | C# (.NET 8.0.203) |
| 結果 |
AC
|
| 実行時間 | 1,825 ms / 3,000 ms |
| コード長 | 34,340 bytes |
| コンパイル時間 | 7,169 ms |
| コンパイル使用メモリ | 157,640 KB |
| 実行使用メモリ | 197,404 KB |
| 最終ジャッジ日時 | 2023-10-18 14:21:08 |
| 合計ジャッジ時間 | 27,905 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge14 |
（要ログイン）
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 | 74 ms
30,016 KB |
| testcase_01 | AC | 74 ms
30,016 KB |
| testcase_02 | AC | 75 ms
29,992 KB |
| testcase_03 | AC | 74 ms
29,992 KB |
| testcase_04 | AC | 74 ms
30,016 KB |
| testcase_05 | AC | 75 ms
30,016 KB |
| testcase_06 | AC | 75 ms
30,012 KB |
| testcase_07 | AC | 76 ms
30,032 KB |
| testcase_08 | AC | 75 ms
30,016 KB |
| testcase_09 | AC | 73 ms
30,016 KB |
| testcase_10 | AC | 75 ms
30,012 KB |
| testcase_11 | AC | 75 ms
30,016 KB |
| testcase_12 | AC | 74 ms
30,012 KB |
| testcase_13 | AC | 74 ms
30,016 KB |
| testcase_14 | AC | 77 ms
30,016 KB |
| testcase_15 | AC | 74 ms
30,016 KB |
| testcase_16 | AC | 72 ms
30,016 KB |
| testcase_17 | AC | 76 ms
30,016 KB |
| testcase_18 | AC | 1,825 ms
46,608 KB |
| testcase_19 | AC | 1,537 ms
44,896 KB |
| testcase_20 | AC | 1,337 ms
43,344 KB |
| testcase_21 | AC | 814 ms
38,860 KB |
| testcase_22 | AC | 1,202 ms
42,284 KB |
| testcase_23 | AC | 258 ms
33,212 KB |
| testcase_24 | AC | 1,198 ms
42,288 KB |
| testcase_25 | AC | 1,759 ms
46,584 KB |
| testcase_26 | AC | 586 ms
36,660 KB |
| testcase_27 | AC | 188 ms
32,404 KB |
| testcase_28 | AC | 313 ms
33,872 KB |
| testcase_29 | AC | 1,716 ms
46,584 KB |
| testcase_30 | AC | 329 ms
34,136 KB |
| testcase_31 | AC | 130 ms
31,696 KB |
| testcase_32 | AC | 406 ms
34,928 KB |
| testcase_33 | AC | 918 ms
39,844 KB |
| testcase_34 | AC | 257 ms
33,224 KB |
| testcase_35 | AC | 623 ms
37,180 KB |
| testcase_36 | AC | 396 ms
34,788 KB |
| testcase_37 | AC | 1,720 ms
197,404 KB |
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 (99 ms)。 MSBuild のバージョン 17.7.3+8ec440e68 (.NET) main -> /home/judge/data/code/bin/Release/net7.0/main.dll main -> /home/judge/data/code/bin/Release/net7.0/publish/
ソースコード
using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using static System.Math;
using System.Text;
using System.Threading;
using System.Globalization;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using Library;
namespace Program
{
public static class ProblemD
{
static bool SAIKI = false;
static public int numberOfRandomCases = 0;
static public void MakeTestCase(List<string> _input, List<string> _output, ref Func<string[], bool> _outputChecker)
{
}
static public void Solve()
{
var N = NN;
var PList = NNList(N);
var seg = new LIB_RedBlackTree<long, LIB_Mod998244353, LIB_Mod998244353>(0, 1, (x, y) => x + y, (x, y, c) => x * y, (x, y) => x * y);
var allpat = LIB_Mod998244353.Pow(2, N - 1);
LIB_Mod998244353 ans = 0;
foreach (var item in PList)
{
var idx = seg.LowerBound(item);
ans -= seg.Query(idx, seg.Count) * allpat;
ans += allpat * (seg.Count - idx);
seg.Add(item, 1);
seg.Update(0, seg.Count, (LIB_Mod998244353)1 / 2);
}
Console.WriteLine(ans);
}
class Printer : StreamWriter
{
public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { base.AutoFlush = false; }
public Printer(Stream stream, Encoding encoding) : base(stream, encoding) { base.AutoFlush = false; }
}
static LIB_FastIO fastio = new LIB_FastIODebug();
static string[] args;
static public void Main(string[] args_t) { args = args_t; if (args_t.Length == 0) { fastio = new LIB_FastIO(); Console.SetOut(new Printer(Console.OpenStandardOutput())); } if (SAIKI) { var t = new Thread(Solve, 134217728); t.Start(); t.Join(); } else Solve(); Console.Out.Flush(); }
static long NN => fastio.Long();
static double ND => fastio.Double();
static string NS => fastio.Scan();
static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray();
static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray();
static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray();
static long Count<T>(this IEnumerable<T> x, Func<T, bool> pred) => Enumerable.Count(x, pred);
static IEnumerable<T> Repeat<T>(T v, long n) => Enumerable.Repeat<T>(v, (int)n);
static IEnumerable<int> Range(long s, long c) => Enumerable.Range((int)s, (int)c);
static IOrderedEnumerable<T> OrderByRand<T>(this IEnumerable<T> x) => Enumerable.OrderBy(x, _ => xorshift);
static IOrderedEnumerable<T> OrderBy<T>(this IEnumerable<T> x) => Enumerable.OrderBy(x.OrderByRand(), e => e);
static IOrderedEnumerable<T1> OrderBy<T1, T2>(this IEnumerable<T1> x, Func<T1, T2> selector) => Enumerable.OrderBy(x.OrderByRand(), selector);
static IOrderedEnumerable<T> OrderByDescending<T>(this IEnumerable<T> x) => Enumerable.OrderByDescending(x.OrderByRand(), e => e);
static IOrderedEnumerable<T1> OrderByDescending<T1, T2>(this IEnumerable<T1> x, Func<T1, T2> selector) => Enumerable.OrderByDescending(x.OrderByRand(), selector);
static IOrderedEnumerable<string> OrderBy(this IEnumerable<string> x) => x.OrderByRand().OrderBy(e => e, StringComparer.OrdinalIgnoreCase);
static IOrderedEnumerable<T> OrderBy<T>(this IEnumerable<T> x, Func<T, string> selector) => x.OrderByRand().OrderBy(selector, StringComparer.OrdinalIgnoreCase);
static IOrderedEnumerable<string> OrderByDescending(this IEnumerable<string> x) => x.OrderByRand().OrderByDescending(e => e, StringComparer.OrdinalIgnoreCase);
static IOrderedEnumerable<T> OrderByDescending<T>(this IEnumerable<T> x, Func<T, string> selector) => x.OrderByRand().OrderByDescending(selector, StringComparer.OrdinalIgnoreCase);
static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);
static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } }
static IEnumerator<uint> _xsi = _xsc();
static IEnumerator<uint> _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } }
static bool Chmax<T>(this ref T lhs, T rhs) where T : struct, IComparable<T> { if (lhs.CompareTo(rhs) < 0) { lhs = rhs; return true; } return false; }
static bool Chmin<T>(this ref T lhs, T rhs) where T : struct, IComparable<T> { if (lhs.CompareTo(rhs) > 0) { lhs = rhs; return true; } return false; }
static void Fill<T>(this T[] array, T value) => array.AsSpan().Fill(value);
static void Fill<T>(this T[,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0], array.Length).Fill(value);
static void Fill<T>(this T[,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0], array.Length).Fill(value);
static void Fill<T>(this T[,,,] array, T value) => MemoryMarshal.CreateSpan(ref array[0, 0, 0, 0], array.Length).Fill(value);
}
}
namespace Library {
partial struct LIB_Mod998244353 : IEquatable<LIB_Mod998244353>, IEquatable<long>
{
const int _mod = 998244353; long v;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_Mod998244353(long x)
{
if (x < _mod && x >= 0) v = x;
else if ((v = x % _mod) < 0) v += _mod;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public implicit operator LIB_Mod998244353(long x) => new LIB_Mod998244353(x);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public implicit operator long(LIB_Mod998244353 x) => x.v;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(LIB_Mod998244353 x) { if ((v += x.v) >= _mod) v -= _mod; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Sub(LIB_Mod998244353 x) { if ((v -= x.v) < 0) v += _mod; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Mul(LIB_Mod998244353 x) => v = (v * x.v) % _mod;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Div(LIB_Mod998244353 x) => v = (v * Inverse(x.v)) % _mod;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 operator +(LIB_Mod998244353 x, LIB_Mod998244353 y) { var t = x.v + y.v; return t >= _mod ? new LIB_Mod998244353 { v = t - _mod } : new LIB_Mod998244353 { v = t }; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 operator -(LIB_Mod998244353 x, LIB_Mod998244353 y) { var t = x.v - y.v; return t < 0 ? new LIB_Mod998244353 { v = t + _mod } : new LIB_Mod998244353 { v = t }; }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 operator *(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v * y.v;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 operator /(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v * Inverse(y.v);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public bool operator ==(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v == y.v;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public bool operator !=(LIB_Mod998244353 x, LIB_Mod998244353 y) => x.v != y.v;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public long Inverse(long x)
{
long b = _mod, r = 1, u = 0, t = 0;
while (b > 0)
{
var q = x / b;
t = u;
u = r - q * u;
r = t;
t = b;
b = x - q * b;
x = t;
}
return r < 0 ? r + _mod : r;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool Equals(LIB_Mod998244353 x) => v == x.v;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool Equals(long x) => v == x;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override bool Equals(object x) => x == null ? false : Equals((LIB_Mod998244353)x);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override int GetHashCode() => v.GetHashCode();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override string ToString() => v.ToString();
static List<LIB_Mod998244353> _fact = new List<LIB_Mod998244353>() { 1, 1 };
static List<LIB_Mod998244353> _inv = new List<LIB_Mod998244353>() { 0, 1 };
static List<LIB_Mod998244353> _factinv = new List<LIB_Mod998244353>() { 1, 1 };
static long _factm = _mod;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static void B(long n)
{
if (_factm != _mod)
{
_fact = new List<LIB_Mod998244353>() { 1, 1 };
_inv = new List<LIB_Mod998244353>() { 0, 1 };
_factinv = new List<LIB_Mod998244353>() { 1, 1 };
}
if (n >= _fact.Count)
{
for (int i = _fact.Count; i <= n; ++i)
{
_fact.Add(_fact[i - 1] * i);
_inv.Add(_mod - _inv[(int)(_mod % i)] * (_mod / i));
_factinv.Add(_factinv[i - 1] * _inv[i]);
}
}
_factm = _mod;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 Comb(long n, long k)
{
B(n);
if (n == 0 && k == 0) return 1;
if (n < k || n < 0) return 0;
return _fact[(int)n] * _factinv[(int)(n - k)] * _factinv[(int)k];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 CombOK(long n, long k)
{
LIB_Mod998244353 ret = 1;
LIB_Mod998244353 deno = 1;
var chk = n - k;
if (chk < k) k = chk;
for (var i = 0; i < k; i++) ret *= n - i;
for (var i = 1; i <= k; i++) deno *= i;
return ret / deno;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 Perm(long n, long k)
{
B(n);
if (n == 0 && k == 0) return 1;
if (n < k || n < 0) return 0;
return _fact[(int)n] * _factinv[(int)(n - k)];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 KanzenPerm(long n, long k) => Enumerable.Range(0, (int)k + 1).Aggregate((LIB_Mod998244353)0, (a, e) => a + (1 - ((e & 1) << 1)) * LIB_Mod998244353.Comb(k, e) * LIB_Mod998244353.Perm(n - e, k - e));
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static public LIB_Mod998244353 Pow(LIB_Mod998244353 x, long y)
{
LIB_Mod998244353 a = 1;
while (y != 0)
{
if ((y & 1) == 1) a.Mul(x);
x.Mul(x);
y >>= 1;
}
return a;
}
}
class LIB_RedBlackTree
{
static public LIB_RedBlackTree<long, long, long> CreateRangeUpdateRangeMin() => new LIB_RedBlackTree<long, long, long>(long.MaxValue, long.MinValue + 100, Math.Min, (x, y, c) => y, (x, y) => y);
static public LIB_RedBlackTree<long, long, long> CreateRangeAddRangeMin() => new LIB_RedBlackTree<long, long, long>(long.MaxValue, 0, Math.Min, (x, y, c) => x + y, (x, y) => x + y);
static public LIB_RedBlackTree<long, long, long> CreateRangeUpdateRangeMax() => new LIB_RedBlackTree<long, long, long>(long.MinValue, long.MaxValue - 100, Math.Max, (x, y, c) => y, (x, y) => y);
static public LIB_RedBlackTree<long, long, long> CreateRangeAddRangeMax() => new LIB_RedBlackTree<long, long, long>(long.MinValue, 0, Math.Max, (x, y, c) => x + y, (x, y) => x + y);
static public LIB_RedBlackTree<long, long, long> CreateRangeUpdateRangeSum() => new LIB_RedBlackTree<long, long, long>(0, long.MaxValue, (x, y) => x + y, (x, y, c) => y * c, (x, y) => y);
static public LIB_RedBlackTree<long, long, long> CreateRangeAddRangeSum() => new LIB_RedBlackTree<long, long, long>(0, 0, (x, y) => x + y, (x, y, c) => x + y * c, (x, y) => x + y);
}
class LIB_RedBlackTree<Key, ValueT, ValueE> where ValueE : IEquatable<ValueE>
{
bool ope;
class Node
{
public Node left;
public Node right;
public Key key;
public ValueT val;
public ValueT dat;
public ValueE lazy;
public bool isBlack;
public int cnt;
public bool needRecalc;
}
Func<ValueT, ValueT, ValueT> f;
Func<ValueT, ValueE, int, ValueT> g;
Func<ValueE, ValueE, ValueE> h;
ValueT ti;
ValueE ei;
Comparison<Key> c;
Node root;
bool isNeedFix;
Node lmax;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_RedBlackTree(ValueT ti, ValueE ei, Func<ValueT, ValueT, ValueT> f, Func<ValueT, ValueE, int, ValueT> g, Func<ValueE, ValueE, ValueE> h, Comparison<Key> c, bool ope = true)
{
this.ti = ti;
this.ei = ei;
this.f = f;
this.g = g;
this.h = h;
this.c = c;
this.ope = ope;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_RedBlackTree(ValueT ti, ValueE ei, Func<ValueT, ValueT, ValueT> f, Func<ValueT, ValueE, int, ValueT> g, Func<ValueE, ValueE, ValueE> h) : this(ti, ei, f, g, h, Comparer<Key>.Default.Compare) { }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
bool IsRed(Node n) => n != null && !n.isBlack;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
bool IsBlack(Node n) => n != null && n.isBlack;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
int Cnt(Node n) => n == null ? 0 : n.cnt;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
void Eval(Node n)
{
if (n == null || ei.Equals(n.lazy)) return;
n.val = g(n.val, n.lazy, 1);
if (!n.needRecalc) n.dat = g(n.dat, n.lazy, Cnt(n));
if (n.left != null) n.left.lazy = h(n.left.lazy, n.lazy);
if (n.right != null) n.right.lazy = h(n.right.lazy, n.lazy);
n.lazy = ei;
}
void Recalc(Node n)
{
Eval(n);
if (!n.needRecalc) return;
n.needRecalc = false;
n.dat = n.val;
if (n.left != null)
{
Recalc(n.left);
n.dat = f(n.left.dat, n.dat);
}
if (n.right != null)
{
Recalc(n.right);
n.dat = f(n.dat, n.right.dat);
}
}
Node RotateL(Node n)
{
if (ope && n != null) { Eval(n); Eval(n.right); }
Node m = n.right, t = m.left;
m.left = n; n.right = t;
n.cnt -= m.cnt - Cnt(t);
m.cnt += n.cnt - Cnt(t);
n.needRecalc = true; m.needRecalc = true;
return m;
}
Node RotateR(Node n)
{
if (ope && n != null) { Eval(n); Eval(n.left); }
Node m = n.left, t = m.right;
m.right = n; n.left = t;
n.cnt -= m.cnt - Cnt(t);
m.cnt += n.cnt - Cnt(t);
n.needRecalc = true; m.needRecalc = true;
return m;
}
Node RotateLR(Node n)
{
n.left = RotateL(n.left);
return RotateR(n);
}
Node RotateRL(Node n)
{
n.right = RotateR(n.right);
return RotateL(n);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(Key key, ValueT val)
{
root = Add(root, key, val);
root.isBlack = true;
}
Node Add(Node n, Key key, ValueT val)
{
if (n == null)
{
isNeedFix = true;
return new Node() { key = key, val = val, dat = val, lazy = ei, cnt = 1 };
}
if (ope) Eval(n);
if (c(key, n.key) < 0) n.left = Add(n.left, key, val);
else n.right = Add(n.right, key, val);
n.needRecalc = true;
++n.cnt;
return Balance(n);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
Node Balance(Node n)
{
if (!isNeedFix || !IsBlack(n)) return n;
if (IsRed(n.left) && IsRed(n.left.left))
{
n = RotateR(n);
n.left.isBlack = true;
}
else if (IsRed(n.left) && IsRed(n.left.right))
{
n = RotateLR(n);
n.left.isBlack = true;
}
else if (IsRed(n.right) && IsRed(n.right.left))
{
n = RotateRL(n);
n.right.isBlack = true;
}
else if (IsRed(n.right) && IsRed(n.right.right))
{
n = RotateL(n);
n.right.isBlack = true;
}
else isNeedFix = false;
return n;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void RemoveAt(long index)
{
root = RemoveAt(root, index);
if (root != null) root.isBlack = true;
}
Node RemoveAt(Node n, long index)
{
if (ope) Eval(n);
--n.cnt;
var r = index.CompareTo(Cnt(n?.left));
if (r < 0)
{
n.left = RemoveAt(n.left, index);
n.needRecalc = true;
return BalanceL(n);
}
if (r > 0)
{
n.right = RemoveAt(n.right, index - Cnt(n?.left) - 1);
n.needRecalc = true;
return BalanceR(n);
}
if (n.left == null)
{
isNeedFix = n.isBlack;
return n.right;
}
n.left = RemoveMax(n.left);
n.key = lmax.key;
n.val = lmax.val;
n.needRecalc = true;
return BalanceL(n);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Remove(Key key)
{
root = Remove(root, key);
if (root != null) root.isBlack = true;
}
Node Remove(Node n, Key key)
{
if (ope) Eval(n);
--n.cnt;
var r = c(key, n.key);
if (r < 0)
{
n.left = Remove(n.left, key);
n.needRecalc = true;
return BalanceL(n);
}
if (r > 0)
{
n.right = Remove(n.right, key);
n.needRecalc = true;
return BalanceR(n);
}
if (n.left == null)
{
isNeedFix = n.isBlack;
return n.right;
}
n.left = RemoveMax(n.left);
n.key = lmax.key;
n.val = lmax.val;
n.needRecalc = true;
return BalanceL(n);
}
Node RemoveMax(Node n)
{
if (ope) Eval(n);
--n.cnt;
if (n.right != null)
{
n.right = RemoveMax(n.right);
n.needRecalc = true;
return BalanceR(n);
}
lmax = n;
isNeedFix = n.isBlack;
return n.left;
}
Node BalanceL(Node n)
{
if (!isNeedFix) return n;
if (IsBlack(n.right) && IsRed(n.right.left))
{
var b = n.isBlack;
n = RotateRL(n);
n.isBlack = b;
n.left.isBlack = true;
isNeedFix = false;
}
else if (IsBlack(n.right) && IsRed(n.right.right))
{
var b = n.isBlack;
n = RotateL(n);
n.isBlack = b;
n.right.isBlack = true;
n.left.isBlack = true;
isNeedFix = false;
}
else if (IsBlack(n.right))
{
isNeedFix = n.isBlack;
n.isBlack = true;
n.right.isBlack = false;
}
else
{
n = RotateL(n);
n.isBlack = true;
n.left.isBlack = false;
n.left = BalanceL(n.left);
isNeedFix = false;
}
return n;
}
Node BalanceR(Node n)
{
if (!isNeedFix) return n;
if (IsBlack(n.left) && IsRed(n.left.right))
{
var b = n.isBlack;
n = RotateLR(n);
n.isBlack = b; n.right.isBlack = true;
isNeedFix = false;
}
else if (IsBlack(n.left) && IsRed(n.left.left))
{
var b = n.isBlack;
n = RotateR(n);
n.isBlack = b;
n.left.isBlack = true;
n.right.isBlack = true;
isNeedFix = false;
}
else if (IsBlack(n.left))
{
isNeedFix = n.isBlack;
n.isBlack = true;
n.left.isBlack = false;
}
else
{
n = RotateR(n);
n.isBlack = true;
n.right.isBlack = false;
n.right = BalanceR(n.right);
isNeedFix = false;
}
return n;
}
public KeyValuePair<Key, ValueT> this[long i]
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
get { return At(root, i); }
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void ChangeValue(long i, ValueT v)
{
var n = root;
while (true)
{
if (ope) Eval(n);
if (n.left == null)
{
if (i == 0) break;
else
{
n = n.right;
--i;
}
}
else if (n.left.cnt == i) break;
else if (n.left.cnt > i) n = n.left;
else
{
i = i - n.left.cnt - 1;
n = n.right;
}
}
n.needRecalc = true;
n.val = v;
}
KeyValuePair<Key, ValueT> At(Node n, long i)
{
while (true)
{
if (ope) Eval(n);
if (n.left == null)
{
if (i == 0) return new KeyValuePair<Key, ValueT>(n.key, n.val);
else
{
n = n.right;
--i;
}
}
else if (n.left.cnt == i) return new KeyValuePair<Key, ValueT>(n.key, n.val);
else if (n.left.cnt > i) n = n.left;
else
{
i = i - n.left.cnt - 1;
n = n.right;
}
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool ContainsKey(Key key)
{
var t = LowerBound(key);
return t < Cnt(root) && c(At(root, t).Key, key) == 0;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public long UpperBound(Key key)
{
var n = root;
var ret = 0L;
while (true)
{
if (n == null) return ret;
if (c(key, n.key) < 0) n = n.left;
else
{
ret += Cnt(n.left) + 1;
n = n.right;
}
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public long LowerBound(Key key)
{
var n = root;
var ret = 0L;
while (true)
{
if (n == null) return ret;
if (c(key, n.key) <= 0) n = n.left;
else
{
ret += Cnt(n.left) + 1;
n = n.right;
}
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public KeyValuePair<Key, ValueT> Min()
{
Node n = root.left, p = root;
while (n != null)
{
p = n;
if (ope) Eval(p);
n = n.left;
}
return new KeyValuePair<Key, ValueT>(p.key, p.val);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public KeyValuePair<Key, ValueT> Max()
{
Node n = root.right, p = root;
while (n != null)
{
p = n;
if (ope) Eval(p);
n = n.right;
}
return new KeyValuePair<Key, ValueT>(p.key, p.val);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Update(long l, long r, ValueE val) => Update(root, l, r, val);
void Update(Node n, long l, long r, ValueE val)
{
if (n == null) return;
Eval(n);
n.needRecalc = true;
var lc = Cnt(n.left);
if (lc < l) Update(n.right, l - lc - 1, r - lc - 1, val);
else if (r <= lc) Update(n.left, l, r, val);
else if (l <= 0 && Cnt(n) <= r) n.lazy = val;
else
{
n.val = g(n.val, val, 1);
if (l < lc) Update(n.left, l, lc, val);
if (lc + 1 < r) Update(n.right, 0, r - lc - 1, val);
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ValueT Query(long l, long r) => root == null ? ti : Query(root, l, r);
ValueT Query(Node n, long l, long r)
{
var v1 = ti; var v2 = ti; var v3 = ti;
Eval(n);
var lc = Cnt(n.left);
if (lc < l) v3 = n.right == null ? ti : Query(n.right, l - lc - 1, r - lc - 1);
else if (r <= lc) v1 = n.left == null ? ti : Query(n.left, l, r);
else if (l <= 0 && Cnt(n) <= r)
{
Recalc(n);
v2 = n.dat;
}
else
{
if (l < lc) v1 = n.left == null ? ti : Query(n.left, l, lc);
if (lc + 1 < r) v3 = n.right == null ? ti : Query(n.right, 0, r - lc - 1);
v2 = n.val;
}
return f(f(v1, v2), v3);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool Any() => root != null;
public long Count => Cnt(root);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public IEnumerable<KeyValuePair<Key, ValueT>> List() => L(root);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
IEnumerable<KeyValuePair<Key, ValueT>> L(Node n)
{
if (n == null) yield break;
foreach (var i in L(n.left)) yield return i;
yield return new KeyValuePair<Key, ValueT>(n.key, n.val);
foreach (var i in L(n.right)) yield return i;
}
}
class LIB_RedBlackTree<Key, Value>
{
LIB_RedBlackTree<Key, Value, int> tree;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_RedBlackTree(Comparison<Key> c) { tree = new LIB_RedBlackTree<Key, Value, int>(default(Value), 0, null, null, null, c, false); }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_RedBlackTree() : this(Comparer<Key>.Default.Compare) { }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(Key key, Value val) => tree.Add(key, val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Remove(Key key) => tree.Remove(key);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void RemoveAt(long index) => tree.RemoveAt(index);
public KeyValuePair<Key, Value> this[long i]
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
get { return tree[i]; }
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool ContainsKey(Key key) => tree.ContainsKey(key);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public long UpperBound(Key key) => tree.UpperBound(key);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public long LowerBound(Key key) => tree.LowerBound(key);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public KeyValuePair<Key, Value> Min() => tree.Min();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public KeyValuePair<Key, Value> Max() => tree.Max();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool Any() => tree.Any();
public long Count => tree.Count;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public IEnumerable<KeyValuePair<Key, Value>> List() => tree.List();
}
class LIB_RedBlackTree<T>
{
LIB_RedBlackTree<T, int, int> tree;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_RedBlackTree(Comparison<T> c) { tree = new LIB_RedBlackTree<T, int, int>(0, 0, null, null, null, c, false); }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_RedBlackTree() : this(Comparer<T>.Default.Compare) { }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(T val) => tree.Add(val, 0);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Remove(T val) => tree.Remove(val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void RemoveAt(long index) => tree.RemoveAt(index);
public T this[long i]
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
get { return tree[i].Key; }
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool ContainsKey(T val) => tree.ContainsKey(val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public long UpperBound(T val) => tree.UpperBound(val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public long LowerBound(T val) => tree.LowerBound(val);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public T Min() => tree.Min().Key;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public T Max() => tree.Max().Key;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool Any() => tree.Any();
public long Count => tree.Count;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public IEnumerable<T> List() => tree.List().Select(e => e.Key);
}
class LIB_FastIO
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_FastIO() { str = Console.OpenStandardInput(); }
readonly Stream str;
readonly byte[] buf = new byte[2048];
int len, ptr;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
byte read()
{
if (ptr >= len)
{
ptr = 0;
if ((len = str.Read(buf, 0, 2048)) <= 0)
{
return 0;
}
}
return buf[ptr++];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
char Char()
{
byte b = 0;
do b = read();
while (b < 33 || 126 < b);
return (char)b;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
virtual public string Scan()
{
var sb = new StringBuilder();
for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
sb.Append(b);
return sb.ToString();
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
virtual public long Long()
{
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 << 3) + (ret << 1) + b - '0';
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
virtual public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); }
}
class LIB_FastIODebug : LIB_FastIO
{
Queue<string> param = new Queue<string>();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public LIB_FastIODebug() { }
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override string Scan() => NextString();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override long Long() => long.Parse(NextString());
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override double Double() => double.Parse(NextString());
}
}