結果

問題 No.1207 グラフX
ユーザー takytanktakytank
提出日時 2020-08-30 13:35:21
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 780 ms / 2,000 ms
コード長 13,220 bytes
コンパイル時間 1,447 ms
コンパイル使用メモリ 123,076 KB
実行使用メモリ 94,184 KB
最終ジャッジ日時 2024-11-15 06:51:37
合計ジャッジ時間 30,973 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 692 ms
56,424 KB
testcase_01 AC 694 ms
56,424 KB
testcase_02 AC 751 ms
56,932 KB
testcase_03 AC 744 ms
56,560 KB
testcase_04 AC 726 ms
56,296 KB
testcase_05 AC 761 ms
93,808 KB
testcase_06 AC 780 ms
93,932 KB
testcase_07 AC 747 ms
94,184 KB
testcase_08 AC 548 ms
43,896 KB
testcase_09 AC 613 ms
49,124 KB
testcase_10 AC 712 ms
75,620 KB
testcase_11 AC 748 ms
93,932 KB
testcase_12 AC 566 ms
45,040 KB
testcase_13 AC 271 ms
28,800 KB
testcase_14 AC 706 ms
54,888 KB
testcase_15 AC 607 ms
47,360 KB
testcase_16 AC 285 ms
30,464 KB
testcase_17 AC 466 ms
42,232 KB
testcase_18 AC 420 ms
42,028 KB
testcase_19 AC 413 ms
34,932 KB
testcase_20 AC 735 ms
56,168 KB
testcase_21 AC 79 ms
24,064 KB
testcase_22 AC 471 ms
42,608 KB
testcase_23 AC 512 ms
45,424 KB
testcase_24 AC 369 ms
41,728 KB
testcase_25 AC 721 ms
56,052 KB
testcase_26 AC 542 ms
46,588 KB
testcase_27 AC 657 ms
51,936 KB
testcase_28 AC 635 ms
49,508 KB
testcase_29 AC 649 ms
51,956 KB
testcase_30 AC 310 ms
34,428 KB
testcase_31 AC 237 ms
27,008 KB
testcase_32 AC 279 ms
35,068 KB
testcase_33 AC 289 ms
35,060 KB
testcase_34 AC 597 ms
47,092 KB
testcase_35 AC 78 ms
24,064 KB
testcase_36 AC 601 ms
49,012 KB
testcase_37 AC 503 ms
43,900 KB
testcase_38 AC 145 ms
28,288 KB
testcase_39 AC 303 ms
36,860 KB
testcase_40 AC 192 ms
24,448 KB
testcase_41 AC 392 ms
35,712 KB
testcase_42 AC 36 ms
19,200 KB
testcase_43 AC 35 ms
19,328 KB
testcase_44 AC 35 ms
19,200 KB
testcase_45 AC 662 ms
56,676 KB
testcase_46 AC 736 ms
56,676 KB
testcase_47 AC 722 ms
56,684 KB
testcase_48 AC 719 ms
56,560 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Reflection.Metadata;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
using System.Text.RegularExpressions;
using System.Threading;

namespace AtCoder
{
	public class Program
	{
		static void Main()
		{
			var cin = new Scanner();
			var (N, M, X) = cin.Int3();

			var uf = new UnionFindTree(N);
			var to = Helper.Array(N, i => new List<(int v, int z)>());
			var pows = new HashMap<int, ModInt>(i => 0, M);
			for (int i = 0; i < M; i++) {
				var x = cin.Int() - 1;
				var y = cin.Int() - 1;
				var z = cin.Int();

				if (uf.IsUnited(x, y) == false) {
					uf.Unite(x, y);
					to[x].Add((y, z));
					to[y].Add((x, z));

					ModInt pow = ModInt.Pow(X, z);
					pows[z] = pow;
				}
			}

			(ModInt dist, int count) Dfs(int v, int prev)
			{
				ModInt dist = 0;
				int count = 1;
				foreach (var next in to[v]) {
					if (next.v == prev) {
						continue;
					}

					var ret = Dfs(next.v, v);
					dist += ret.dist;
					ModInt tempDist = pows[next.z] * ret.count * (N - ret.count);
					dist += tempDist;
					count += ret.count;
				}

				return (dist, count);
			}

			ModInt ans = Dfs(0, -1).dist;
			Console.WriteLine(ans);
		}
	}

	public class UnionFindTree
	{
		private readonly int[] sizes_;
		private readonly int[] parents_;

		public int Count { get; private set; }
		public int GroupCount { get; private set; }

		public UnionFindTree(int count)
		{
			parents_ = new int[count];
			sizes_ = new int[count];

			Count = 0;
			GroupCount = count;
			while (Count < count) {
				parents_[Count] = Count;
				sizes_[Count] = 1;
				++Count;
			}
		}

		public int GetSizeOf(int x) => sizes_[Find(x)];

		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 (y == x) {
				return false;
			}

			int parent = sizes_[x] < sizes_[y] ? y : x;
			int child = sizes_[x] < sizes_[y] ? x : y;

			--GroupCount;
			parents_[child] = parent;
			sizes_[parent] += sizes_[child];

			return true;
		}

		public int Find(int x)
		{
			while (x != parents_[x]) {
				parents_[x] = parents_[parents_[x]];
				x = parents_[x];
			}

			return x;
		}

		public IEnumerable<int> GetAllRoots => parents_.Where(x => x == parents_[x]);
	}

	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 (ContainsKey(key) == false) {
					base[key] = initialzier_(key);
				}

				return base[key];
			}

			set { base[key] = value; }
		}
	}

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

		public static ModInt Inverse(ModInt value) => Pow(value, P - 2);
		public static ModInt Pow(ModInt value, long k) => Pow(value.value_, k);
		public static ModInt Pow(long value, long k)
		{
			long ret = 1;
			for (k %= P - 1; k > 0; k >>= 1, value = value * value % P) {
				if ((k & 1) == 1) {
					ret = ret * value % P;
				}
			}
			return new ModInt(ret);
		}

		private long value_;

		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)
		{
			long exp = P - 2;
			while (exp > 0) {
				if (exp % 2 > 0) {
					lhs *= rhs;
				}

				rhs *= rhs;
				exp /= 2;
			}

			return lhs;
		}

		public static implicit operator ModInt(long n) => new ModInt(n, true);
		public long ToLong() => value_;
		public override string ToString() => value_.ToString();
	}

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

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

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[] Array<T>(int n, Func<int, T> init)
			=> Enumerable.Range(0, n).Select(x => init(x)).ToArray();
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static List<T> List<T>(int n, Func<int, T> init)
			=> Enumerable.Range(0, n).Select(x => init(x)).ToList();

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

			return array;
		}
		[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[,,] Array3<T>(int n1, int n2, int n3, T init) 
			where T : struct
		{
			var array = new T[n1, n2, n3];
			for (int i1 = 0; i1 < n1; i1++) {
				for (int i2 = 0; i2 < n2; i2++) {
					for (int i3 = 0; i3 < n3; i3++) {
						array[i1, i2, i3] = init;
					}
				}
			}

			return array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static T[,,,] Array4<T>(int n1, int n2, int n3, int n4, T init) 
			where T : struct
		{
			var array = new T[n1, n2, n3, n4];
			for (int i1 = 0; i1 < n1; i1++) {
				for (int i2 = 0; i2 < n2; i2++) {
					for (int i3 = 0; i3 < n3; i3++) {
						for (int i4 = 0; i4 < n4; i4++) {
							array[i1, i2, i3, i4] = init;
						}
					}
				}
			}

			return array;
		}

		private static readonly int[] delta4_ = { 1, 0, -1, 0, 1 };
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public static void DoAt4(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 DoAt8(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 ForEachSubBit(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 string Join<T>(this IEnumerable<T> values, string separator = "")
			=> string.Join(separator, values);
	}

	public class Scanner
	{
		private readonly char[] delimiter_ = new char[] { ' ' };
		private readonly string filePath_;
		private readonly Func<string> reader_;
		private string[] buf_;
		private int index_;

		public Scanner(string file = "")
		{
			if (string.IsNullOrWhiteSpace(file)) {
				reader_ = Console.ReadLine;
			} else {
				filePath_ = file;
				var fs = new StreamReader(file);
				reader_ = fs.ReadLine;
			}
			buf_ = new string[0];
			index_ = 0;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public string NextLine() => reader_();
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public string Next()
		{
			if (index_ < buf_.Length) {
				return buf_[index_++];
			}

			string st = reader_();
			while (st == "") {
				st = reader_();
			}

			buf_ = st.Split(delimiter_, StringSplitOptions.RemoveEmptyEntries);
			if (buf_.Length == 0) {
				return Next();
			}

			index_ = 0;
			return buf_[index_++];
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int Int() => int.Parse(Next());
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public int Int(int offset) => int.Parse(Next()) + 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)
		{
			int[] Array = new int[length];
			for (int i = 0; i < length; i++) {
				Array[i] = Int(offset);
			}
			return Array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public long Long() => long.Parse(Next());
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public long Long(long offset) => long.Parse(Next()) + 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)
		{
			long[] Array = new long[length];
			for (int i = 0; i < length; i++) {
				Array[i] = Long(offset);
			}
			return Array;
		}

		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public double Double() => double.Parse(Next());
		[MethodImpl(MethodImplOptions.AggressiveInlining)]
		public double Double(double offset) => double.Parse(Next()) + 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)
		{
			double[] Array = new double[length];
			for (int i = 0; i < length; i++) {
				Array[i] = Double(offset);
			}
			return Array;
		}

		public void Save(string text)
		{
			if (string.IsNullOrWhiteSpace(filePath_)) {
				return;
			}

			File.WriteAllText(filePath_ + "_output.txt", text);
		}
	}
}
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