結果

問題 No.1553 Lovely City
ユーザー takytank
提出日時 2021-06-18 23:34:32
言語 C#
(.NET 8.0.404)
結果
AC  
実行時間 440 ms / 2,000 ms
コード長 34,015 bytes
コンパイル時間 10,890 ms
コンパイル使用メモリ 169,612 KB
実行使用メモリ 278,368 KB
最終ジャッジ日時 2024-06-22 21:34:24
合計ジャッジ時間 21,988 ms
ジャッジサーバーID
(参考情報)
judge1 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 26
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
  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 (96 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

diff #
プレゼンテーションモードにする

using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
namespace YukiCoder
{
class Program
{
static void Main()
{
using var cin = new Scanner();
var (n, m) = cin.Int2();
var uf = new UnionFindTree(n);
var edges = new JagList2<int>(n);
for (int i = 0; i < m; i++) {
var (u, v) = cin.Int2(-1);
edges.Add(u, v);
uf.Unite(u, v);
}
edges.Build();
var map = new HashMap<int, List<int>>(x => new List<int>());
for (int i = 0; i < n; i++) {
map[uf.Find(i)].Add(i);
}
var ans = new List<(int u, int v)>();
foreach (var t in map.Keys) {
var vs = map[t];
var comp = new Compression<int>(vs.AsSpan());
comp.Compress();
var ts = new TopologicalSort(vs.Count);
foreach (var v in vs) {
foreach (var u in edges[v]) {
ts.AddEdge(comp.Zip(v), comp.Zip(u));
}
}
ts.Build();
var sorted = ts.Sort();
if (sorted is null) {
for (int i = 0; i < vs.Count; i++) {
ans.Add((vs[i], vs[i + 1 == vs.Count ? 0 : i + 1]));
}
} else {
for (int i = 0; i < sorted.Length - 1; i++) {
ans.Add((comp.UnZip(sorted[i]), comp.UnZip(sorted[i + 1])));
}
}
}
Console.WriteLine(ans.Count);
foreach (var uv in ans) {
Console.WriteLine($"{uv.u + 1} {uv.v + 1}");
}
}
}
public class StronglyConnectedComponent
{
private readonly int n_;
private readonly List<Edge> edges_;
private readonly int[] components_;
private int groupCount_;
public int[] Component => components_;
public int GroupCount => groupCount_;
public int VertexCount => n_;
public StronglyConnectedComponent(int n, int m = 100000)
{
n_ = n;
edges_ = new List<Edge>(m);
components_ = new int[n];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void AddEdge(int from, int to) => edges_.Add(new Edge(from, to));
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Build()
{
var g = new EdgeInfo(n_, edges_);
int currentOrder = 0;
groupCount_ = 0;
var visited = new Stack<int>(n_);
var lowestOrdersInGroup = new int[n_];
var orders = new int[n_];
orders.AsSpan().Fill(-1);
void Dfs(int v)
{
lowestOrdersInGroup[v] = currentOrder;
orders[v] = currentOrder;
currentOrder++;
visited.Push(v);
for (int i = g.CumulatedFromCount[v]; i < g.CumulatedFromCount[v + 1]; ++i) {
int to = g.To[i];
if (orders[to] == -1) {
Dfs(to);
lowestOrdersInGroup[v] = Math.Min(lowestOrdersInGroup[v], lowestOrdersInGroup[to]);
} else {
lowestOrdersInGroup[v] = Math.Min(lowestOrdersInGroup[v], orders[to]);
}
}
if (lowestOrdersInGroup[v] == orders[v]) {
while (true) {
int u = visited.Pop();
orders[u] = n_;
components_[u] = groupCount_;
if (u == v) {
break;
}
}
++groupCount_;
}
}
for (int i = 0; i < orders.Length; ++i) {
if (orders[i] == -1) {
Dfs(i);
}
}
foreach (ref var x in components_.AsSpan()) {
x = groupCount_ - 1 - x;
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public int[][] Decompose()
{
var counts = new int[groupCount_];
foreach (var x in components_) {
++counts[x];
}
var temp = new List<int>[groupCount_];
for (int i = 0; i < groupCount_; ++i) {
temp[i] = new List<int>(counts[i]);
}
for (int i = 0; i < components_.Length; ++i) {
temp[components_[i]].Add(i);
}
var group = new int[groupCount_][];
for (int i = 0; i < groupCount_; ++i) {
group[i] = temp[i].ToArray();
}
return group;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public int[][] Contract()
{
var temp = new List<int>[groupCount_];
for (int i = 0; i < groupCount_; ++i) {
temp[i] = new List<int>();
}
foreach (var e in edges_) {
int x = components_[e.From];
int y = components_[e.To];
if (x == y) {
continue;
}
temp[x].Add(y);
}
var graph = new int[groupCount_][];
for (int i = 0; i < groupCount_; ++i) {
graph[i] = temp[i].ToArray();
}
return graph;
}
private class EdgeInfo
{
public int[] CumulatedFromCount { get; }
public int[] To { get; }
public EdgeInfo(int n, List<Edge> edges)
{
CumulatedFromCount = new int[n + 1];
To = new int[edges.Count];
foreach (var e in edges) {
++CumulatedFromCount[e.From + 1];
}
for (int i = 1; i <= n; i++) {
CumulatedFromCount[i] += CumulatedFromCount[i - 1];
}
var counter = new int[CumulatedFromCount.Length];
CumulatedFromCount.CopyTo(counter, 0);
foreach (var e in edges) {
To[counter[e.From]] = e.To;
++counter[e.From];
}
}
}
private readonly struct Edge
{
public int From { get; }
public int To { get; }
public Edge(int from, int to)
{
From = from;
To = to;
}
}
}
public class Compression<T>
where T : IComparable<T>
{
public static int Compress(
Span<T> raws,
Func<int, T> cast)
{
int n = raws.Length;
var comp = new Compression<T>(raws);
comp.Compress();
for (int i = 0; i < n; i++) {
raws[i] = cast.Invoke(comp.Zip(raws[i]));
}
return comp.Count;
}
private readonly HashSet<T> raws_ = new HashSet<T>();
private T[] values_;
private Dictionary<T, int> map_;
public int Count => values_.Length;
public Compression() { }
public Compression(ReadOnlySpan<T> values)
{
Add(values);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(T value) => raws_.Add(value);
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(ReadOnlySpan<T> values)
{
foreach (var value in values) {
raws_.Add(value);
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Compress(int offset = 0)
{
values_ = raws_.ToArray();
Array.Sort(values_);
map_ = new Dictionary<T, int>(values_.Length);
int number = offset;
for (int i = 0; i < values_.Length; ++i, ++number) {
map_[values_[i]] = number;
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public int Zip(T value) => map_[value];
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public T UnZip(int index) => values_[index];
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public int LowerBound(T value)
{
int ng = -1;
int ok = values_.Length - 1;
while (ok - ng > 1) {
int mid = (ok + ng) / 2;
if (values_[mid].CompareTo(value) >= 0) {
ok = mid;
} else {
ng = mid;
}
}
return ok;
}
}
public class TopologicalSort
{
private readonly int n_;
private readonly List<int>[] tempEdges_;
private readonly int[][] edges_;
private readonly int[] inCounts_;
public int[][] Edges => edges_;
public TopologicalSort(int n)
{
n_ = n;
edges_ = new int[n][];
tempEdges_ = new List<int>[n];
for (int i = 0; i < n; i++) {
tempEdges_[i] = new List<int>();
}
inCounts_ = new int[n];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void AddEdge(int p, int q)
{
tempEdges_[p].Add(q);
inCounts_[q]++;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Build()
{
for (int i = 0; i < n_; i++) {
edges_[i] = tempEdges_[i].ToArray();
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public int[] Sort()
{
var counts = new int[n_];
Array.Copy(inCounts_, counts, n_);
var done = new bool[n_];
var list = new List<int>(n_);
var que = new Queue<int>();
for (int i = 0; i < n_; i++) {
if (counts[i] == 0) {
que.Enqueue(i);
list.Add(i);
done[i] = true;
}
}
while (que.Count > 0) {
int cur = que.Dequeue();
foreach (var next in edges_[cur]) {
if (done[next]) {
return null;
}
counts[next]--;
if (counts[next] == 0) {
que.Enqueue(next);
list.Add(next);
done[next] = true;
}
}
}
if (list.Count != n_) {
return null;
}
var sorted = list.ToArray();
return sorted;
}
}
public class UnionFindTree
{
private readonly int[] data_;
public int Count => data_.Length;
public int GroupCount { get; private set; }
public UnionFindTree(int count)
{
data_ = new int[count];
for (int i = 0; i < count; i++) {
data_[i] = -1;
}
GroupCount = count;
}
public int GetSizeOf(int k) => -data_[Find(k)];
public bool IsUnited(int x, int y) => Find(x) == Find(y);
public bool Unite(int x, int y)
{
x = Find(x);
y = Find(y);
if (x == y) {
return false;
}
if (data_[x] > data_[y]) {
(x, y) = (y, x);
}
--GroupCount;
data_[x] += data_[y];
data_[y] = x;
return true;
}
public int Find(int k)
{
while (data_[k] >= 0) {
if (data_[data_[k]] >= 0) {
data_[k] = data_[data_[k]];
}
k = data_[k];
}
return k;
}
public IEnumerable<int> GetAllRoots()
{
for (int i = 0; i < data_.Length; i++) {
if (data_[i] < 0) {
yield return i;
}
}
}
}
public 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;
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 BitFlag(src.flags_ + 1);
public static BitFlag operator --(BitFlag src) => new BitFlag(src.flags_ - 1);
public static BitFlag operator |(BitFlag lhs, BitFlag rhs)
=> new BitFlag(lhs.flags_ | rhs.flags_);
public static BitFlag operator |(BitFlag lhs, int rhs)
=> new BitFlag(lhs.flags_ | rhs);
public static BitFlag operator |(int lhs, BitFlag rhs)
=> new BitFlag(lhs | rhs.flags_);
public static BitFlag operator &(BitFlag lhs, BitFlag rhs)
=> new BitFlag(lhs.flags_ & rhs.flags_);
public static BitFlag operator &(BitFlag lhs, int rhs)
=> new BitFlag(lhs.flags_ & rhs);
public static BitFlag operator &(int lhs, BitFlag rhs)
=> new BitFlag(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 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 BitFlag(t);
public static implicit operator int(BitFlag t) => t.flags_;
public override string ToString() => $"{Convert.ToString(flags_, 2).PadLeft(32, '0')} ({flags_})";
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void ForEachSubBits(Action<BitFlag> action)
{
for (BitFlag sub = (flags_ - 1) & flags_; sub > 0; sub = --sub & flags_) {
action(sub);
}
}
public SubBitsEnumerator SubBits => new SubBitsEnumerator(flags_);
public 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 Enumerator(flags_);
public struct Enumerator : IEnumerator<BitFlag>
{
private readonly int src_;
public BitFlag Current { get; private set; }
object IEnumerator.Current => Current;
public Enumerator(int flags)
{
src_ = flags;
Current = flags;
}
public 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>
{
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) => new ModInt(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 ModInt(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 long ToLong() => value_;
public override string ToString() => value_.ToString();
}
public static class Helper
{
public static long INF => 1L << 60;
[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 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 void DoIn4(int i, int j, int imax, int jmax, Action<int, int> action)
{
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) {
action(d4i, d4j);
}
}
}
private static readonly int[] delta8_ = { 1, 0, -1, 0, 1, 1, -1, -1, 1 };
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static void DoIn8(int i, int j, int imax, int jmax, Action<int, int> action)
{
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) {
action(d8i, d8j);
}
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static void ForEachSubBits(int bit, Action<int> action)
{
for (int sub = bit; sub >= 0; --sub) {
sub &= bit;
action(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) {
var tmp = chars[i];
chars[i] = chars[j];
chars[j] = tmp;
}
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> AsWriteableSpan(this string str)
{
var span = str.AsSpan();
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 Scanner : IDisposable
{
private const int BUFFER_SIZE = 1024;
private const int ASCII_CHAR_BEGIN = 33;
private const int ASCII_CHAR_END = 126;
private readonly string filePath_;
private readonly Stream stream_;
private readonly byte[] buf_ = new byte[BUFFER_SIZE];
private int length_ = 0;
private int index_ = 0;
private bool isEof_ = false;
public Scanner(string file = "")
{
if (string.IsNullOrWhiteSpace(file)) {
stream_ = Console.OpenStandardInput();
} else {
filePath_ = file;
stream_ = new FileStream(file, FileMode.Open);
}
Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) {
AutoFlush = false
});
}
public void Dispose()
{
Console.Out.Flush();
stream_.Dispose();
}
[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 Next()
{
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] = Next();
}
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[] 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 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';
}
}
}
[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[] 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() => new BigInteger(Long());
[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[] 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(Next(), 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[] 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(Next(), 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[] ArrayDecimal(int length, decimal offset = 0)
{
var array = new decimal[length];
for (int i = 0; i < length; ++i) {
array[i] = Decimal(offset);
}
return array;
}
private byte Read()
{
if (isEof_) {
throw new EndOfStreamException();
}
if (index_ >= length_) {
index_ = 0;
if ((length_ = stream_.Read(buf_, 0, BUFFER_SIZE)) <= 0) {
isEof_ = true;
return 0;
}
}
return buf_[index_++];
}
public void Save(string text)
{
if (string.IsNullOrWhiteSpace(filePath_)) {
return;
}
File.WriteAllText(filePath_ + "_output.txt", text);
}
}
}
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