#1084821 (C#) No.3141 Balancing with X=>O Flip

• 問題: No.3141 Balancing with X=>O Flip
• ユーザー: takytank
• 提出日時: 2025-05-16 21:23:29
• 言語: C# (.NET 8.0.404)
• 結果: AC
• 実行時間: 41 ms / 2,000 ms
• コード長: 35,969 bytes
• コンパイル時間: 8,796 ms
• コンパイル使用メモリ: 169,484 KB
• 実行使用メモリ: 187,020 KB
• 最終ジャッジ日時: 2025-05-17 03:12:54
• 合計ジャッジ時間: 9,515 ms
• ジャッジサーバーID （参考情報）: judge1 / judge4

ファイルパターン	結果
sample	AC * 3
other	AC * 26

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 (118 ミリ秒)。
  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.Buffers;
using System.Collections;
using System.Globalization;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;

namespace AtCoder11;

public class Program
{
	[MethodImpl(MethodImplOptions.AggressiveOptimization)]
	static void Main()
	{
		using var io = new IOManager();
		int n = io.Int();
		string s = io.String();
		int lc = 0;
		int rc = 0;
		for (int i = 0; i < n; i++) {
			if (s[i] == '(') {
				++lc;
			} else {
				++rc;
			}
		}

		bool ok = lc == rc;
		io.YesNo(ok);
	}
}

public readonly struct BitFlag
{
	public static BitFlag Begin() => 0;
	public static BitFlag End(int bitCount) => 1 << bitCount;
	public static BitFlag FromBit(int bitNumber) => 1 << bitNumber;
	public static BitFlag Fill(int count) => (1 << count) - 1;

	public static IEnumerable<BitFlag> All(int n)
	{
		for (var f = Begin(); f < End(n); ++f) {
			yield return f;
		}
	}

	private readonly int flags_;
	public int Flag => flags_;
	public bool this[int bitNumber] => (flags_ & (1 << bitNumber)) != 0;
	public BitFlag(int flags) { flags_ = flags; }

	public bool Has(BitFlag target) => (flags_ & target.flags_) == target.flags_;
	public bool Has(int target) => (flags_ & target) == target;
	public bool HasBit(int bitNumber) => (flags_ & (1 << bitNumber)) != 0;
	public BitFlag OrBit(int bitNumber) => flags_ | (1 << bitNumber);
	public BitFlag AndBit(int bitNumber) => flags_ & (1 << bitNumber);
	public BitFlag XorBit(int bitNumber) => flags_ ^ (1 << bitNumber);
	public BitFlag ComplementOf(BitFlag sub) => flags_ ^ sub.flags_;
	public int PopCount() => BitOperations.PopCount((uint)flags_);

	public static BitFlag operator ++(BitFlag src) => new(src.flags_ + 1);
	public static BitFlag operator --(BitFlag src) => new(src.flags_ - 1);
	public static BitFlag operator |(BitFlag lhs, BitFlag rhs)
		=> new(lhs.flags_ | rhs.flags_);
	public static BitFlag operator |(BitFlag lhs, int rhs)
		=> new(lhs.flags_ | rhs);
	public static BitFlag operator |(int lhs, BitFlag rhs)
		=> new(lhs | rhs.flags_);
	public static BitFlag operator &(BitFlag lhs, BitFlag rhs)
		=> new(lhs.flags_ & rhs.flags_);
	public static BitFlag operator &(BitFlag lhs, int rhs)
		=> new(lhs.flags_ & rhs);
	public static BitFlag operator &(int lhs, BitFlag rhs)
		=> new(lhs & rhs.flags_);
	public static BitFlag operator ^(BitFlag lhs, BitFlag rhs)
		=> new(lhs.flags_ ^ rhs.flags_);
	public static BitFlag operator ^(BitFlag lhs, int rhs)
		=> new(lhs.flags_ ^ rhs);
	public static BitFlag operator ^(int lhs, BitFlag rhs)
		=> new(lhs ^ rhs.flags_);
	public static BitFlag operator <<(BitFlag bit, int shift) => bit.flags_ << shift;
	public static BitFlag operator >>(BitFlag bit, int shift) => bit.flags_ >> shift;

	public static bool operator <(BitFlag lhs, BitFlag rhs) => lhs.flags_ < rhs.flags_;
	public static bool operator <(BitFlag lhs, int rhs) => lhs.flags_ < rhs;
	public static bool operator <(int lhs, BitFlag rhs) => lhs < rhs.flags_;
	public static bool operator >(BitFlag lhs, BitFlag rhs) => lhs.flags_ > rhs.flags_;
	public static bool operator >(BitFlag lhs, int rhs) => lhs.flags_ > rhs;
	public static bool operator >(int lhs, BitFlag rhs) => lhs > rhs.flags_;
	public static bool operator <=(BitFlag lhs, BitFlag rhs) => lhs.flags_ <= rhs.flags_;
	public static bool operator <=(BitFlag lhs, int rhs) => lhs.flags_ <= rhs;
	public static bool operator <=(int lhs, BitFlag rhs) => lhs <= rhs.flags_;
	public static bool operator >=(BitFlag lhs, BitFlag rhs) => lhs.flags_ >= rhs.flags_;
	public static bool operator >=(BitFlag lhs, int rhs) => lhs.flags_ >= rhs;
	public static bool operator >=(int lhs, BitFlag rhs) => lhs >= rhs.flags_;

	public static implicit operator BitFlag(int t) => new(t);
	public static implicit operator int(BitFlag t) => t.flags_;

	public override string ToString() => $"{Convert.ToString(flags_, 2).PadLeft(32, '0')} ({flags_})";

	public SubBitsEnumerator SubBits => new(flags_);
	public readonly struct SubBitsEnumerator : IEnumerable<BitFlag>
	{
		private readonly int flags_;
		public SubBitsEnumerator(int flags)
		{
			flags_ = flags;
		}

		IEnumerator<BitFlag> IEnumerable<BitFlag>.GetEnumerator() => new Enumerator(flags_);
		IEnumerator IEnumerable.GetEnumerator() => new Enumerator(flags_);
		public Enumerator GetEnumerator() => new(flags_);
		public struct Enumerator : IEnumerator<BitFlag>
		{
			private readonly int src_;
			public BitFlag Current { get; private set; }
			readonly object IEnumerator.Current => Current;

			public Enumerator(int flags)
			{
				src_ = flags;
				Current = flags + 1;
			}

			public readonly void Dispose() { }
			[MethodImpl(MethodImplOptions.AggressiveInlining)]
			public bool MoveNext() => (Current = --Current & src_) > 0;
			[MethodImpl(MethodImplOptions.AggressiveInlining)]
			public void Reset() => Current = src_;
		}
	}
}

public class HashMap<TKey, TValue> : Dictionary<TKey, TValue>
{
	public static HashMap<TKey, TValue> Merge(
		HashMap<TKey, TValue> src1,
		HashMap<TKey, TValue> src2,
		Func<TValue, TValue, TValue> mergeValues)
	{
		if (src1.Count < src2.Count) {
			(src1, src2) = (src2, src1);
		}

		foreach (var key in src2.Keys) {
			src1[key] = mergeValues(src1[key], src2[key]);
		}

		return src1;
	}

	private readonly Func<TKey, TValue> initialzier_;
	public HashMap(Func<TKey, TValue> initialzier)
		: base()
	{
		initialzier_ = initialzier;
	}

	public HashMap(Func<TKey, TValue> initialzier, int capacity)
		: base(capacity)
	{
		initialzier_ = initialzier;
	}

	new public TValue this[TKey key]
	{
		get
		{
			if (TryGetValue(key, out TValue value)) {
				return value;
			} else {
				var init = initialzier_(key);
				base[key] = init;
				return init;
			}
		}

		set { base[key] = value; }
	}

	public HashMap<TKey, TValue> Merge(
		HashMap<TKey, TValue> src,
		Func<TValue, TValue, TValue> mergeValues)
	{
		foreach (var key in src.Keys) {
			this[key] = mergeValues(this[key], src[key]);
		}

		return this;
	}
}

public class JagList2<T> where T : struct
{
	private readonly int n_;
	private readonly List<T>[] tempValues_;
	private T[][] values_;

	public int Count => n_;
	public List<T>[] Raw => tempValues_;
	public T[][] Values => values_;
	public T[] this[int index] => values_[index];

	public JagList2(int n)
	{
		n_ = n;
		tempValues_ = new List<T>[n];
		for (int i = 0; i < n; ++i) {
			tempValues_[i] = new List<T>();
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Add(int i, T value) => tempValues_[i].Add(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Build()
	{
		values_ = new T[n_][];
		for (int i = 0; i < values_.Length; ++i) {
			values_[i] = tempValues_[i].ToArray();
		}
	}
}

public class DijkstraQ
{
	private int count_ = 0;
	private long[] distanceHeap_;
	private int[] vertexHeap_;

	public int Count => count_;
	public DijkstraQ()
	{
		distanceHeap_ = new long[8];
		vertexHeap_ = new int[8];
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Enqueue(long distance, int v)
	{
		if (distanceHeap_.Length == count_) {
			var newDistanceHeap = new long[distanceHeap_.Length << 1];
			var newVertexHeap = new int[vertexHeap_.Length << 1];
			Unsafe.CopyBlock(
				ref Unsafe.As<long, byte>(ref newDistanceHeap[0]),
				ref Unsafe.As<long, byte>(ref distanceHeap_[0]),
				(uint)(8 * count_));
			Unsafe.CopyBlock(
				ref Unsafe.As<int, byte>(ref newVertexHeap[0]),
				ref Unsafe.As<int, byte>(ref vertexHeap_[0]),
				(uint)(4 * count_));
			distanceHeap_ = newDistanceHeap;
			vertexHeap_ = newVertexHeap;
		}

		ref var dRef = ref distanceHeap_[0];
		ref var vRef = ref vertexHeap_[0];
		Unsafe.Add(ref dRef, count_) = distance;
		Unsafe.Add(ref vRef, count_) = v;
		++count_;

		int c = count_ - 1;
		while (c > 0) {
			int p = (c - 1) >> 1;
			var tempD = Unsafe.Add(ref dRef, p);
			if (tempD <= distance) {
				break;
			} else {
				Unsafe.Add(ref dRef, c) = tempD;
				Unsafe.Add(ref vRef, c) = Unsafe.Add(ref vRef, p);
				c = p;
			}
		}

		Unsafe.Add(ref dRef, c) = distance;
		Unsafe.Add(ref vRef, c) = v;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (long distance, int v) Dequeue()
	{
		ref var dRef = ref distanceHeap_[0];
		ref var vRef = ref vertexHeap_[0];
		(long distance, int v) ret = (dRef, vRef);
		int n = count_ - 1;

		var distance = Unsafe.Add(ref dRef, n);
		var vertex = Unsafe.Add(ref vRef, n);
		int p = 0;
		int c = (p << 1) + 1;
		while (c < n) {
			if (c != n - 1 && Unsafe.Add(ref dRef, c + 1) < Unsafe.Add(ref dRef, c)) {
				++c;
			}

			var tempD = Unsafe.Add(ref dRef, c);
			if (distance > tempD) {
				Unsafe.Add(ref dRef, p) = tempD;
				Unsafe.Add(ref vRef, p) = Unsafe.Add(ref vRef, c);
				p = c;
				c = (p << 1) + 1;
			} else {
				break;
			}
		}

		Unsafe.Add(ref dRef, p) = distance;
		Unsafe.Add(ref vRef, p) = vertex;
		--count_;

		return ret;
	}
}

public struct ModInt
{
	//public const long P = 1000000007;
	public const long P = 998244353;
	//public const long P = 2;
	public const long ROOT = 3;

	// (924844033, 5)
	// (998244353, 3)
	// (1012924417, 5)
	// (167772161, 3)
	// (469762049, 3)
	// (1224736769, 3)

	private long value_;

	public static ModInt New(long value, bool mods = true) => new(value, mods);
	public ModInt(long value) => value_ = value;
	public ModInt(long value, bool mods)
	{
		if (mods) {
			value %= P;
			if (value < 0) {
				value += P;
			}
		}

		value_ = value;
	}

	public static ModInt operator +(ModInt lhs, ModInt rhs)
	{
		lhs.value_ = (lhs.value_ + rhs.value_) % P;
		return lhs;
	}
	public static ModInt operator +(long lhs, ModInt rhs)
	{
		rhs.value_ = (lhs + rhs.value_) % P;
		return rhs;
	}
	public static ModInt operator +(ModInt lhs, long rhs)
	{
		lhs.value_ = (lhs.value_ + rhs) % P;
		return lhs;
	}

	public static ModInt operator -(ModInt lhs, ModInt rhs)
	{
		lhs.value_ = (P + lhs.value_ - rhs.value_) % P;
		return lhs;
	}
	public static ModInt operator -(long lhs, ModInt rhs)
	{
		rhs.value_ = (P + lhs - rhs.value_) % P;
		return rhs;
	}
	public static ModInt operator -(ModInt lhs, long rhs)
	{
		lhs.value_ = (P + lhs.value_ - rhs) % P;
		return lhs;
	}

	public static ModInt operator *(ModInt lhs, ModInt rhs)
	{
		lhs.value_ = lhs.value_ * rhs.value_ % P;
		return lhs;
	}
	public static ModInt operator *(long lhs, ModInt rhs)
	{
		rhs.value_ = lhs * rhs.value_ % P;
		return rhs;
	}
	public static ModInt operator *(ModInt lhs, long rhs)
	{
		lhs.value_ = lhs.value_ * rhs % P;
		return lhs;
	}

	public static ModInt operator /(ModInt lhs, ModInt rhs)
		=> lhs * Inverse(rhs);

	public static implicit operator ModInt(long n) => new(n, true);

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static ModInt Inverse(ModInt value) => Pow(value, P - 2);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static ModInt Pow(ModInt value, long k) => Pow(value.value_, k);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static ModInt Pow(long value, long k)
	{
		long ret = 1;
		while (k > 0) {
			if ((k & 1) != 0) {
				ret = ret * value % P;
			}

			value = value * value % P;
			k >>= 1;
		}

		return new ModInt(ret);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public readonly long ToLong() => value_;
	public readonly override string ToString() => value_.ToString();
}

public static class Helper
{
	public static long INF => 1L << 50;

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T Clamp<T>(this T value, T min, T max) where T : struct, IComparable<T>
	{
		if (value.CompareTo(min) <= 0) {
			return min;
		}

		if (value.CompareTo(max) >= 0) {
			return max;
		}

		return value;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static void UpdateMin<T>(this ref T target, T value) where T : struct, IComparable<T>
		=> target = target.CompareTo(value) > 0 ? value : target;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static void UpdateMin<T>(this ref T target, T value, Action<T> onUpdated)
		where T : struct, IComparable<T>
	{
		if (target.CompareTo(value) > 0) {
			target = value;
			onUpdated(value);
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static void UpdateMax<T>(this ref T target, T value) where T : struct, IComparable<T>
		=> target = target.CompareTo(value) < 0 ? value : target;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static void UpdateMax<T>(this ref T target, T value, Action<T> onUpdated)
		where T : struct, IComparable<T>
	{
		if (target.CompareTo(value) < 0) {
			target = value;
			onUpdated(value);
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static long BinarySearchOKNG(long ok, long ng, Func<long, bool> satisfies)
	{
		while (ng - ok > 1) {
			long mid = (ok + ng) / 2;
			if (satisfies(mid)) {
				ok = mid;
			} else {
				ng = mid;
			}
		}

		return ok;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static long BinarySearchNGOK(long ng, long ok, Func<long, bool> satisfies)
	{
		while (ok - ng > 1) {
			long mid = (ok + ng) / 2;
			if (satisfies(mid)) {
				ok = mid;
			} else {
				ng = mid;
			}
		}

		return ok;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static int LowerBound<T>(Span<T> array, T value) where T : IComparable<T>
	=> LowerBound(array, -1, array.Length, value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static int LowerBound<T>(Span<T> array, int ng, int ok, T value)
		where T : IComparable<T>
	{
		while (ok - ng > 1) {
			int mid = (ok + ng) / 2;
			if (array[mid].CompareTo(value) >= 0) {
				ok = mid;
			} else {
				ng = mid;
			}
		}

		return ok;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static int UpperBound<T>(Span<T> array, T value) where T : IComparable<T>
		=> UpperBound(array, -1, array.Length, value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static int UpperBound<T>(Span<T> array, int ng, int ok, T value)
		where T : IComparable<T>
	{
		while (ok - ng > 1) {
			int mid = (ok + ng) / 2;
			if (array[mid].CompareTo(value) > 0) {
				ok = mid;
			} else {
				ng = mid;
			}
		}

		return ok;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[] Array1<T>(int n, T initialValue) where T : struct
		=> new T[n].Fill(initialValue);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[] Array1<T>(int n, Func<int, T> initializer)
		=> Enumerable.Range(0, n).Select(x => initializer(x)).ToArray();
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[] Fill<T>(this T[] array, T value)
		where T : struct
	{
		array.AsSpan().Fill(value);
		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,] Array2<T>(int n, int m, T initialValule) where T : struct
		=> new T[n, m].Fill(initialValule);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,] Array2<T>(int n, int m, Func<int, int, T> initializer)
	{
		var array = new T[n, m];
		for (int i = 0; i < n; ++i) {
			for (int j = 0; j < m; ++j) {
				array[i, j] = initializer(i, j);
			}
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,] Fill<T>(this T[,] array, T initialValue)
		where T : struct
	{
		MemoryMarshal.CreateSpan<T>(ref array[0, 0], array.Length).Fill(initialValue);
		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<T> AsSpan<T>(this T[,] array, int i)
		=> MemoryMarshal.CreateSpan<T>(ref array[i, 0], array.GetLength(1));

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,,] Array3<T>(int n1, int n2, int n3, T initialValue)
		where T : struct
		=> new T[n1, n2, n3].Fill(initialValue);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,,] Fill<T>(this T[,,] array, T initialValue)
		where T : struct
	{
		MemoryMarshal.CreateSpan<T>(ref array[0, 0, 0], array.Length).Fill(initialValue);
		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<T> AsSpan<T>(this T[,,] array, int i, int j)
		=> MemoryMarshal.CreateSpan<T>(ref array[i, j, 0], array.GetLength(2));

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,,,] Array4<T>(int n1, int n2, int n3, int n4, T initialValue)
		where T : struct
		=> new T[n1, n2, n3, n4].Fill(initialValue);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[,,,] Fill<T>(this T[,,,] array, T initialValue)
		where T : struct
	{
		MemoryMarshal.CreateSpan<T>(ref array[0, 0, 0, 0], array.Length).Fill(initialValue);
		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<T> AsSpan<T>(this T[,,,] array, int i, int j, int k)
		=> MemoryMarshal.CreateSpan<T>(ref array[i, j, k, 0], array.GetLength(3));

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static T[] Merge<T>(ReadOnlySpan<T> first, ReadOnlySpan<T> second) where T : IComparable<T>
	{
		var ret = new T[first.Length + second.Length];
		int p = 0;
		int q = 0;
		while (p < first.Length || q < second.Length) {
			if (p == first.Length) {
				ret[p + q] = second[q];
				q++;
				continue;
			}

			if (q == second.Length) {
				ret[p + q] = first[p];
				p++;
				continue;
			}

			if (first[p].CompareTo(second[q]) < 0) {
				ret[p + q] = first[p];
				p++;
			} else {
				ret[p + q] = second[q];
				q++;
			}
		}

		return ret;
	}

	private static readonly int[] delta4_ = { 1, 0, -1, 0, 1 };
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static IEnumerable<(int i, int j)> Adjacence4(int i, int j, int imax, int jmax)
	{
		for (int dn = 0; dn < 4; ++dn) {
			int d4i = i + delta4_[dn];
			int d4j = j + delta4_[dn + 1];
			if ((uint)d4i < (uint)imax && (uint)d4j < (uint)jmax) {
				yield return (d4i, d4j);
			}
		}
	}

	private static readonly int[] delta8_ = { 1, 0, -1, 0, 1, 1, -1, -1, 1 };
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static IEnumerable<(int i, int j)> Adjacence8(int i, int j, int imax, int jmax)
	{
		for (int dn = 0; dn < 8; ++dn) {
			int d8i = i + delta8_[dn];
			int d8j = j + delta8_[dn + 1];
			if ((uint)d8i < (uint)imax && (uint)d8j < (uint)jmax) {
				yield return (d8i, d8j);
			}
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static IEnumerable<int> SubBitsOf(int bit)
	{
		for (int sub = bit; sub > 0; sub = --sub & bit) {
			yield return sub;
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static string Reverse(string src)
	{
		var chars = src.ToCharArray();
		for (int i = 0, j = chars.Length - 1; i < j; ++i, --j) {
			(chars[j], chars[i]) = (chars[i], chars[j]);
		}

		return new string(chars);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static string Exchange(string src, char a, char b)
	{
		var chars = src.ToCharArray();
		for (int i = 0; i < chars.Length; i++) {
			if (chars[i] == a) {
				chars[i] = b;
			} else if (chars[i] == b) {
				chars[i] = a;
			}
		}

		return new string(chars);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static void Swap(this string str, int i, int j)
	{
		var span = str.AsWriteableSpan();
		(span[i], span[j]) = (span[j], span[i]);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static char Replace(this string str, int index, char c)
	{
		var span = str.AsWriteableSpan();
		char old = span[index];
		span[index] = c;
		return old;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<char> ReverseInPlace(this string str)
		=> str.ReverseInPlace(0, str.Length);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<char> ReverseInPlace(this string str, int l, int r)
	{
		var span = str.AsWriteableSpan(l, r);
		for (int i = 0, j = span.Length - 1; i < j; ++i, --j) {
			(span[j], span[i]) = (span[i], span[j]);
		}

		return MemoryMarshal.CreateSpan(ref MemoryMarshal.GetReference(span), span.Length);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<char> AsWriteableSpan(this string str)
		=> str.AsWriteableSpan(0, str.Length);

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<char> AsWriteableSpan(this string str, int l, int r)
	{
		var span = str.AsSpan(l, r - l);
		return MemoryMarshal.CreateSpan(ref MemoryMarshal.GetReference(span), span.Length);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static string Join<T>(this IEnumerable<T> values, string separator = "")
		=> string.Join(separator, values);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static string JoinNL<T>(this IEnumerable<T> values)
		=> string.Join(Environment.NewLine, values);
}

public static class Extensions
{
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public static Span<T> AsSpan<T>(this List<T> list)
	{
		return Unsafe.As<FakeList<T>>(list).Array.AsSpan(0, list.Count);
	}

	private class FakeList<T>
	{
		public T[] Array = null;
	}
}

public class IOManager : IDisposable
{
	private const int BUFFER_SIZE = 1024;
	private const int ASCII_SPACE = 32;
	private const int ASCII_CHAR_BEGIN = 33;
	private const int ASCII_CHAR_END = 126;
	private readonly byte[] _buf = new byte[BUFFER_SIZE];
	private readonly bool _isStdIn;
	private readonly Stream _reader;
	private readonly bool _isStdOut;
	private readonly TextWriter _writer;
	private int _length = 0;
	private int _index = 0;
	private bool _isEof = false;

	public IOManager(string inFilePath = "", string outFilePath = "")
	{
		// Console.Readline をすると UTF-16 の string 型で読み込まれるが、
		// 競プロの入力は基本的に ASCII の範囲なので、メモリも時間も倍食ってしまう。
		// byte[] で入力して手動で変換出来るように、TextReader ではなく Stream を使う。
		if (string.IsNullOrWhiteSpace(inFilePath)) {
			_isStdIn = true;
			_reader = Console.OpenStandardInput();
		} else {
			_reader = new FileStream(inFilePath, FileMode.Open);
		}

		// Console.WriteLine も同様であるのだが、今のところ出力速度が問題になったことがなく、
		// ファイル出力時のエンコード処理の方が面倒そうなので TextWriter を使う。
		string outPath = GetOutFilePath(inFilePath, outFilePath);
		if (string.IsNullOrWhiteSpace(outPath)) {
			// 毎回 flush すると、10^6 回出力したときに TLE してしまう。
			// 自動 flush は無効にしておき、Dispose 時に flush するようにする。
			Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) {
				AutoFlush = false
			});

			_isStdOut = true;
			_writer = Console.Out;
		} else {
			_writer = new StreamWriter(outPath);
		}
	}

	public void Dispose()
	{
		_writer.Flush();
		// Console.In や Console.Out は Dispose してはいけない。
		if (_isStdIn == false) {
			_reader.Dispose();
		}

		if (_isStdOut == false) {
			_writer.Dispose();
		}

		// Dispose パターンは面倒なのでサボり。
		GC.SuppressFinalize(this);
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public string NextLine()
	{
		var sb = new StringBuilder();
		for (var b = Char(); b >= ASCII_SPACE && b <= ASCII_CHAR_END; b = (char)Read()) {
			sb.Append(b);
		}

		return sb.ToString();
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public T[] Repeat<T>(int count, Func<IOManager, T> read)
	{
		var array = new T[count];
		for (int i = 0; i < count; ++i) {
			// キャプチャーを避けるために自身を引数として渡す。
			array[i] = read(this);
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public T[,] Repeat<T>(int height, int width, Func<IOManager, T> read)
	{
		var array = new T[height, width];
		for (int i = 0; i < height; ++i) {
			for (int j = 0; j < width; ++j) {
				// キャプチャーを避けるために自身を引数として渡す。
				array[i, j] = read(this);
			}
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public char Char()
	{
		byte b;
		do {
			b = Read();
		} while (b < ASCII_CHAR_BEGIN || ASCII_CHAR_END < b);

		return (char)b;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public string String()
	{
		var sb = new StringBuilder();
		for (var b = Char(); b >= ASCII_CHAR_BEGIN && b <= ASCII_CHAR_END; b = (char)Read()) {
			sb.Append(b);
		}

		return sb.ToString();
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public string[] ArrayString(int length)
	{
		var array = new string[length];
		for (int i = 0; i < length; ++i) {
			array[i] = String();
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public int Int() => (int)Long();
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public int Int(int offset) => Int() + offset;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (int, int) Int2(int offset = 0)
		=> (Int(offset), Int(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (int, int, int) Int3(int offset = 0)
		=> (Int(offset), Int(offset), Int(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (int, int, int, int) Int4(int offset = 0)
		=> (Int(offset), Int(offset), Int(offset), Int(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (int, int, int, int, int) Int5(int offset = 0)
		=> (Int(offset), Int(offset), Int(offset), Int(offset), Int(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public int[] ArrayInt(int length, int offset = 0)
	{
		var array = new int[length];
		for (int i = 0; i < length; ++i) {
			array[i] = Int(offset);
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public long Long()
	{
		long ret = 0;
		byte b;
		bool negative = false;
		// 空白その他の読み飛ばし。+も読み飛ばしてしまって問題無い。
		do {
			b = Read();
		} while (b != '-' && (b < '0' || '9' < b));

		if (b == '-') {
			negative = true;
			b = Read();
		}

		// 下に一桁ずつ加えていく。
		for (; true; b = Read()) {
			if (b < '0' || '9' < b) {
				return negative ? -ret : ret;
			} else {
				ret = ret * 10 + (b - '0');
			}
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public long Long(long offset) => Long() + offset;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (long, long) Long2(long offset = 0)
		=> (Long(offset), Long(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (long, long, long) Long3(long offset = 0)
		=> (Long(offset), Long(offset), Long(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (long, long, long, long) Long4(long offset = 0)
		=> (Long(offset), Long(offset), Long(offset), Long(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (long, long, long, long, long) Long5(long offset = 0)
		=> (Long(offset), Long(offset), Long(offset), Long(offset), Long(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public long[] ArrayLong(int length, long offset = 0)
	{
		var array = new long[length];
		for (int i = 0; i < length; ++i) {
			array[i] = Long(offset);
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public BigInteger Big() => BigInteger.Parse(String());
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public BigInteger Big(long offset) => Big() + offset;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (BigInteger, BigInteger) Big2(long offset = 0)
		=> (Big(offset), Big(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (BigInteger, BigInteger, BigInteger) Big3(long offset = 0)
		=> (Big(offset), Big(offset), Big(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (BigInteger, BigInteger, BigInteger, BigInteger) Big4(long offset = 0)
		=> (Big(offset), Big(offset), Big(offset), Big(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (BigInteger, BigInteger, BigInteger, BigInteger, BigInteger) Big5(long offset = 0)
		=> (Big(offset), Big(offset), Big(offset), Big(offset), Big(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public BigInteger[] ArrayBig(int length, long offset = 0)
	{
		var array = new BigInteger[length];
		for (int i = 0; i < length; ++i) {
			array[i] = Big(offset);
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public double Double() => double.Parse(String(), CultureInfo.InvariantCulture);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public double Double(double offset) => Double() + offset;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (double, double) Double2(double offset = 0)
		=> (Double(offset), Double(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (double, double, double) Double3(double offset = 0)
		=> (Double(offset), Double(offset), Double(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (double, double, double, double) Double4(double offset = 0)
		=> (Double(offset), Double(offset), Double(offset), Double(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (double, double, double, double, double) Double5(double offset = 0)
		=> (Double(offset), Double(offset), Double(offset), Double(offset), Double(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public double[] ArrayDouble(int length, double offset = 0)
	{
		var array = new double[length];
		for (int i = 0; i < length; ++i) {
			array[i] = Double(offset);
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public decimal Decimal() => decimal.Parse(String(), CultureInfo.InvariantCulture);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public decimal Decimal(decimal offset) => Decimal() + offset;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (decimal, decimal) Decimal2(decimal offset = 0)
		=> (Decimal(offset), Decimal(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (decimal, decimal, decimal) Decimal3(decimal offset = 0)
		=> (Decimal(offset), Decimal(offset), Decimal(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (decimal, decimal, decimal, decimal) Decimal4(decimal offset = 0)
		=> (Decimal(offset), Decimal(offset), Decimal(offset), Decimal(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (decimal, decimal, decimal, decimal, decimal) Decimal5(decimal offset = 0)
		=> (Decimal(offset), Decimal(offset), Decimal(offset), Decimal(offset), Decimal(offset));
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public decimal[] ArrayDecimal(int length, decimal offset = 0)
	{
		var array = new decimal[length];
		for (int i = 0; i < length; ++i) {
			array[i] = Decimal(offset);
		}

		return array;
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine() => _writer.WriteLine();
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(bool value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(char value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(decimal value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(double value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(float value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(int value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(uint value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(long value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(ulong value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(BigInteger value) => _writer.WriteLine(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void WriteLine(string value) => _writer.WriteLine(value);

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(bool value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(char value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(decimal value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(double value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(float value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(int value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(uint value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(long value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(ulong value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(BigInteger value) => _writer.Write(value);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Write(string value) => _writer.Write(value);

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void YesNo(bool ok, bool isUpper = false)
	{
		_writer.WriteLine(
			isUpper == false
				? ok ? "Yes" : "No"
				: ok ? "YES" : "NO");
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void JoinNL<T>(IEnumerable<T> values) => Join(values, Environment.NewLine);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Join<T>(IEnumerable<T> values, string separator = " ")
		=> _writer.WriteLine(string.Join(separator, values));

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void JoinNL<T>(T[,] valuess) => Join(valuess, Environment.NewLine);
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Join<T>(T[,] valuess, string separator = " ")
	{
		int height = valuess.GetLength(0);
		int width = valuess.GetLength(1);
		for (int i = 0; i < height; i++) {
			_writer.WriteLine(
				string.Join(separator, MemoryMarshal.CreateSpan<T>(ref valuess[i, 0], width).ToArray()));
		}
	}

	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public void Flush() => _writer.Flush();

	private byte Read()
	{
		if (_isEof) {
			throw new EndOfStreamException();
		}

		if (_index >= _length) {
			_index = 0;
			if ((_length = _reader.Read(_buf, 0, BUFFER_SIZE)) <= 0) {
				_isEof = true;
				return 0;
			}
		}

		return _buf[_index++];
	}

	private static string GetOutFilePath(string inFilePath, string outFilePath)
	{
		if (string.IsNullOrWhiteSpace(outFilePath) == false) {
			return outFilePath;
		}

		if (string.IsNullOrWhiteSpace(inFilePath)) {
			return inFilePath;
		}


		string directory = Path.GetDirectoryName(inFilePath);
		string title = Path.GetFileNameWithoutExtension(inFilePath);
		string ext = Path.GetExtension(inFilePath);
		string directoryName = Path.GetFileName(directory);
		string parentDirectory = Path.GetDirectoryName(directory);
		if (directoryName.Contains(@"in")) {
			// AHCで配布される tools の in フォルダーの横に out フォルダーを作る。
			// mastersのinAにも対応出来るようにReplaceする。
			directoryName = directoryName.Replace("in", "out");
			directory = Path.Combine(parentDirectory, directoryName);
		} else {
			// ビジュアライザーの一括読み込みは、1234.txt 又は xxx_1234.txt のような形式に対応している。
			// 入力と同じフォルダーの場合は、出力ファイルであることが分かるようにしておく。
			title = "out_" + title;
		}

		if (Directory.Exists(directory) == false) {
			Directory.CreateDirectory(directory);
		}

		return Path.Combine(directory, title + ext);
	}
}