結果

問題 No.1480 Many Complete Graphs
ユーザー fairy_lettucefairy_lettuce
提出日時 2021-04-16 17:26:23
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 415 ms / 2,000 ms
コード長 17,895 bytes
コンパイル時間 2,907 ms
コンパイル使用メモリ 116,300 KB
実行使用メモリ 50,968 KB
最終ジャッジ日時 2023-09-16 02:45:08
合計ジャッジ時間 18,653 ms
ジャッジサーバーID
(参考情報)
judge14 / judge12
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 70 ms
19,984 KB
testcase_01 AC 72 ms
24,032 KB
testcase_02 AC 73 ms
20,052 KB
testcase_03 AC 72 ms
22,100 KB
testcase_04 AC 73 ms
24,068 KB
testcase_05 AC 72 ms
24,100 KB
testcase_06 AC 72 ms
24,064 KB
testcase_07 AC 72 ms
22,108 KB
testcase_08 AC 73 ms
22,044 KB
testcase_09 AC 73 ms
22,108 KB
testcase_10 AC 74 ms
22,080 KB
testcase_11 AC 75 ms
24,152 KB
testcase_12 AC 75 ms
24,128 KB
testcase_13 AC 113 ms
35,528 KB
testcase_14 AC 96 ms
29,972 KB
testcase_15 AC 166 ms
34,524 KB
testcase_16 AC 128 ms
33,852 KB
testcase_17 AC 126 ms
31,216 KB
testcase_18 AC 85 ms
24,892 KB
testcase_19 AC 125 ms
32,988 KB
testcase_20 AC 146 ms
32,272 KB
testcase_21 AC 113 ms
34,412 KB
testcase_22 AC 90 ms
29,196 KB
testcase_23 AC 162 ms
41,968 KB
testcase_24 AC 157 ms
32,660 KB
testcase_25 AC 230 ms
39,836 KB
testcase_26 AC 254 ms
39,740 KB
testcase_27 AC 168 ms
34,852 KB
testcase_28 AC 293 ms
48,304 KB
testcase_29 AC 295 ms
50,552 KB
testcase_30 AC 287 ms
45,412 KB
testcase_31 AC 292 ms
49,484 KB
testcase_32 AC 295 ms
48,200 KB
testcase_33 AC 292 ms
47,416 KB
testcase_34 AC 292 ms
48,204 KB
testcase_35 AC 288 ms
48,280 KB
testcase_36 AC 289 ms
46,064 KB
testcase_37 AC 284 ms
47,508 KB
testcase_38 AC 285 ms
50,308 KB
testcase_39 AC 287 ms
49,500 KB
testcase_40 AC 284 ms
49,472 KB
testcase_41 AC 284 ms
49,488 KB
testcase_42 AC 288 ms
48,224 KB
testcase_43 AC 296 ms
50,304 KB
testcase_44 AC 291 ms
47,456 KB
testcase_45 AC 297 ms
50,312 KB
testcase_46 AC 292 ms
47,424 KB
testcase_47 AC 410 ms
48,856 KB
testcase_48 AC 415 ms
50,960 KB
testcase_49 AC 412 ms
50,968 KB
testcase_50 AC 226 ms
50,548 KB
testcase_51 AC 409 ms
48,868 KB
testcase_52 AC 351 ms
50,252 KB
testcase_53 AC 359 ms
50,284 KB
testcase_54 AC 355 ms
48,272 KB
testcase_55 AC 356 ms
48,192 KB
testcase_56 AC 356 ms
50,280 KB
testcase_57 AC 217 ms
48,884 KB
testcase_58 AC 334 ms
49,800 KB
evil_aftercontest.txt AC 639 ms
68,256 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.IO;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Text;
using System.Globalization;
using System.Threading;

using static System.Math;

namespace FertiLib.Contest.B
{
	public class Solver
	{
		Scanner sr;
		StreamWriter sw;

		bool isMultipleTestCases = false;

		public void Solve()
		{
			var (n, m) = sr.ReadValue<int, int>();
			var graph = new Graph.DirectedWeightedGraph(n + 2 * m);
			for (int i = 0; i < m; i++)
			{
				graph.AddEdge(n + i * 2, n + i * 2 + 1, 1);
				graph.AddEdge(n + i * 2 + 1, n + i * 2, 1);
				var k = sr.ReadInt();
				var c = sr.ReadLong();
				for (int j = 0; j < k; j++)
				{
					var s = sr.ReadInt();
					if (s % 2 == 1)
					{
						graph.AddEdge(s - 1, n + i * 2, c + s);
						graph.AddEdge(n + i * 2, s - 1, c + s);
					}
					else
					{
						graph.AddEdge(s - 1, n + i * 2 + 1, c + s);
						graph.AddEdge(n + i * 2 + 1, s - 1, c + s);
					}
				}
			}
			var dijk = new Graph.Dijkstra(graph);
			var ans = dijk.GetDistanceFrom(0);
			if (ans[n - 1] == long.MaxValue / 5) Console.WriteLine(-1);
			else Console.WriteLine(ans[n - 1] / 2);
		}

		public Solver(Scanner cin, StreamWriter cout)
		{
			this.sr = cin;
			this.sw = cout;
		}

		public void Start()
		{
			int _t = 1;
			if (isMultipleTestCases) _t = sr.ReadInt();
			while (_t-- > 0) Solve();
		}

		public static void YESNO(bool condition) => Console.WriteLine(condition ? "YES" : "NO");
		public static void YesNo(bool condition) => Console.WriteLine(condition ? "Yes" : "No");
		public static void yesno(bool condition) => Console.WriteLine(condition ? "yes" : "no");
	}

	public class PriorityQueue<T> : IEnumerable<T>
	{
		private readonly List<T> heap;
		private readonly IComparer<T> comparer;

		public PriorityQueue(IComparer<T> comparer)
		{
			this.comparer = comparer;
			this.heap = new List<T>();
		}

		public PriorityQueue(Comparison<T> comparison) : this(Comparer<T>.Create(comparison)) { }

		public PriorityQueue() : this(Comparer<T>.Default) { }

		public void Enqueue(T item)
		{
			this.heap.Add(item);
			int index = this.Count - 1;
			while (index > 0)
			{
				var par = Parent(index);
				if (comparer.Compare(heap[index], heap[par]) >= 0) break;
				Swap(index, par);
				index = par;
			}
		}

		public T Dequeue()
		{
			var ret = this.Peek;
			var last = this.Count - 1;
			heap[0] = heap[last];
			heap.RemoveAt(last--);
			var index = 0;
			while (true)
			{
				var (r, l) = Child(index);
				int child;
				if (l <= last)
				{
					if (comparer.Compare(heap[l], heap[r]) < 0) child = l;
					else child = r;
				}
				else if (r <= last) child = r;
				else break;
				if (comparer.Compare(heap[index], heap[child]) <= 0) break;
				Swap(index, child);
				index = child;
			}
			return ret;
		}

		public T Peek => heap[0];

		public int Count => heap.Count;

		private void Swap(int a, int b)
		{
			var t = heap[a];
			heap[a] = heap[b];
			heap[b] = t;
		}

		private int Parent(int index) => (index - 1) / 2;

		private (int l, int r) Child(int index) => (2 * index + 1, 2 * index + 2);

		public IEnumerator<T> GetEnumerator()
		{
			var ret = new List<T>();
			while (this.Count > 0)
			{
				ret.Add(this.Dequeue());
			}

			for (int i = 0; i < ret.Count; i++)
			{
				this.Enqueue(ret[i]);
			}

			foreach (var e in ret)
			{
				yield return e;
			}
		}

		System.Collections.IEnumerator System.Collections.IEnumerable.GetEnumerator() => GetEnumerator();
	}

	public static partial class Graph
	{
		public interface IEdge
		{
			int To { get; }
		}

		public interface IWeightedEdge : IEdge
		{
			long Weight { get; }
		}

		public interface IGraph<TEdge> where TEdge : IEdge
		{
			public List<TEdge> this[int index] { get; }
			public int NodeCount { get; }
			public List<TEdge> Next(int x);
		}

		public interface IWeightedGraph<TEdge> : IGraph<TEdge> where TEdge : IWeightedEdge { }

		public struct BasicEdge : IEdge
		{
			public int To { get; private set; }

			public BasicEdge(int to)
			{
				this.To = to;
			}

			public override string ToString() => $"{To}";
			public static implicit operator BasicEdge(int edge) => new BasicEdge(edge);
			public static implicit operator int(BasicEdge edge) => edge.To;
		}

		public struct WeightedEdge : IWeightedEdge
		{
			public int To { get; private set; }
			public long Weight { get; private set; }

			public WeightedEdge(int to, long weight)
			{
				To = to;
				Weight = weight;
			}

			public WeightedEdge(int to) : this(to, 1) { }

			public override string ToString() => $"[{Weight}] -> {To}";
			public void Deconstruct(out int to, out long weight) => (to, weight) = (To, Weight);
		}

		public class UndirectedGraph : IGraph<BasicEdge>
		{
			public readonly List<List<BasicEdge>> g;

			public List<BasicEdge> this[int index] => g[index];
			public int NodeCount => g.Count;

			public UndirectedGraph(int nodeCount) => g = Enumerable.Repeat(0, nodeCount).Select(_ => new List<BasicEdge>()).ToList();

			public UndirectedGraph(int nodeCount, int[] u, int[] v) : this(nodeCount)
			{
				if (u.Length != v.Length) throw new ArgumentException($"The arrays {nameof(u)} and {nameof(v)} must have the same length.");
				for (var i = 0; i < u.Length; i++)
				{
					AddEdge(u[i], v[i]);
				}
			}

			public void AddEdge(int u, int v)
			{
				g[u].Add(v);
				g[v].Add(u);
			}

			public void AddNode() => g.Add(new List<BasicEdge>());
			public List<BasicEdge> Next(int x) => g[x];
		}

		public class DirectedGraph : IGraph<BasicEdge>
		{
			public readonly List<List<BasicEdge>> g;

			public List<BasicEdge> this[int index] => g[index];
			public int NodeCount => g.Count;

			public DirectedGraph(int nodeCount) => g = Enumerable.Repeat(0, nodeCount).Select(_ => new List<BasicEdge>()).ToList();

			public DirectedGraph(int nodeCount, int[] from, int[] to) : this(nodeCount)
			{
				if (from.Length != to.Length) throw new ArgumentException($"The arrays {nameof(from)} and {nameof(to)} must have the same length.");
				for (var i = 0; i < from.Length; i++)
				{
					AddEdge(from[i], to[i]);
				}
			}

			public void AddEdge(int from, int to) => g[from].Add(to);
			public void AddNode() => g.Add(new List<BasicEdge>());
			public List<BasicEdge> Next(int x) => g[x];
		}

		public class UndirectedWeightedGraph : IWeightedGraph<WeightedEdge>
		{
			public readonly List<List<WeightedEdge>> g;

			public List<WeightedEdge> this[int index] => g[index];
			public int NodeCount => g.Count;

			public UndirectedWeightedGraph(int nodeCount) => g = Enumerable.Repeat(0, nodeCount).Select(_ => new List<WeightedEdge>()).ToList();

			public UndirectedWeightedGraph(int nodeCount, int[] u, int[] v, long[] weight) : this(nodeCount)
			{
				if (u.Length != v.Length) throw new ArgumentException($"The arrays {nameof(u)} and {nameof(v)} must have the same length.");
				if (u.Length != weight.Length) throw new ArgumentException($"The arrays {nameof(u)} and {nameof(weight)} must have the same length.");
				if (weight.Length != v.Length) throw new ArgumentException($"The arrays {nameof(v)} and {nameof(weight)} must have the same length.");
				for (var i = 0; i < u.Length; i++)
				{
					AddEdge(u[i], v[i], weight[i]);
				}
			}

			public void AddEdge(int u, int v, long w)
			{
				g[u].Add(new WeightedEdge(v, w));
				g[v].Add(new WeightedEdge(u, w));
			}
			public void AddNode() => g.Add(new List<WeightedEdge>());
			public List<WeightedEdge> Next(int x) => g[x];
		}

		public class DirectedWeightedGraph : IWeightedGraph<WeightedEdge>
		{
			public readonly List<List<WeightedEdge>> g;

			public List<WeightedEdge> this[int index] => g[index];
			public int NodeCount => g.Count;

			public DirectedWeightedGraph(int nodeCount) => g = Enumerable.Repeat(0, nodeCount).Select(_ => new List<WeightedEdge>()).ToList();

			public DirectedWeightedGraph(int nodeCount, int[] from, int[] to, long[] weight) : this(nodeCount)
			{
				if (from.Length != to.Length) throw new ArgumentException($"The arrays {nameof(from)} and {nameof(to)} must have the same length.");
				if (from.Length != weight.Length) throw new ArgumentException($"The arrays {nameof(from)} and {nameof(weight)} must have the same length.");
				if (weight.Length != to.Length) throw new ArgumentException($"The arrays {nameof(to)} and {nameof(weight)} must have the same length.");
				for (var i = 0; i < from.Length; i++)
				{
					AddEdge(from[i], to[i], weight[i]);
				}
			}

			public void AddEdge(int from, int to, long w)
			{
				g[from].Add(new WeightedEdge(to, w));
			}
			public void AddNode() => g.Add(new List<WeightedEdge>());
			public List<WeightedEdge> Next(int x) => g[x];
		}
	}

	public static partial class Graph
	{
		public class Dijkstra
		{
			private DirectedWeightedGraph graph;

			public Dijkstra(DirectedWeightedGraph graph) => this.graph = graph;

			public long[] GetDistanceFrom(int index)
			{
				const long Inf = long.MaxValue / 5;
				var distances = Enumerable.Repeat(Inf, graph.NodeCount).ToArray();
				distances[index] = 0;
				var queue = new PriorityQueue<(long distance, int index)>();
				queue.Enqueue((0, index));
				while (queue.Count > 0)
				{
					var cur = queue.Dequeue();
					if (cur.distance > distances[cur.index]) continue;
					foreach (var edge in graph[cur.index])
					{
						var nextDistance = cur.distance + edge.Weight;
						if (distances[edge.To] > nextDistance)
						{
							distances[edge.To] = nextDistance;
							queue.Enqueue((nextDistance, edge.To));
						}
					}
				}
				return distances;
			}
		}
	}

	public static class Program
	{
		public static void Main(string[] args)
		{
			var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
			Console.SetOut(sw);
			var cin = new Scanner();
			var solver = new Solver(cin, sw);
			solver.Start();
			Console.Out.Flush();
		}
	}

	public static class Extention
	{
		public static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);

		public static int UpperBound<T>(this IList<T> list, T value) => list.BinarySearch(value, true, 0, list.Count, Comparer<T>.Default);
		public static int LowerBound<T>(this IList<T> list, T value) => list.BinarySearch(value, false, 0, list.Count, Comparer<T>.Default);
		public static int BinarySearch<T>(this IList<T> list, T value, bool isUpperBound, int index, int length, Comparer<T> comparer)
		{
			var ng = index - 1;
			var ok = index + length;
			while (ok - ng > 1)
			{
				var mid = ng + (ok - ng) / 2;
				var res = comparer.Compare(list[mid], value);
				if (res < 0 || (isUpperBound && res == 0)) ng = mid;
				else ok = mid;
			}
			return ok;
		}

		public static bool Chmax<T>(ref this T a, T b) where T : struct, IComparable<T>
		{
			if (a.CompareTo(b) >= 0) return false;
			a = b;
			return true;
		}
		public static bool Chmin<T>(ref this T a, T b) where T : struct, IComparable<T>
		{
			if (a.CompareTo(b) <= 0) return false;
			a = b;
			return true;
		}
	}

	public class Scanner
	{
		string[] s;
		int i;

		char[] separator = new char[] { ' ' };

		public Scanner()
		{
			s = new string[0];
			i = 0;
		}

		public string Read() => ReadString();

		public string ReadString()
		{
			if (i < s.Length) return s[i++];
			string st = Console.ReadLine();
			while (st == "") st = Console.ReadLine();
			s = st.Split(separator, StringSplitOptions.RemoveEmptyEntries);
			if (s.Length == 0) return ReadString();
			i = 0;
			return s[i++];
		}

		public string[] ReadStringArray(int N)
		{
			string[] Array = new string[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadString();
			}
			return Array;
		}

		public int ReadInt() => int.Parse(ReadString());

		public int[] ReadIntArray(int N, int add = 0)
		{
			int[] Array = new int[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadInt() + add;
			}
			return Array;
		}

		public long ReadLong() => long.Parse(ReadString());

		public long[] ReadLongArray(int N, long add = 0)
		{
			long[] Array = new long[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadLong() + add;
			}
			return Array;
		}

		public double ReadDouble() => double.Parse(ReadString());

		public double[] ReadDoubleArray(int N, double add = 0)
		{
			double[] Array = new double[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadDouble() + add;
			}
			return Array;
		}

		public T1 ReadValue<T1>() => (T1)Convert.ChangeType(ReadString(), typeof(T1));

		public (T1, T2) ReadValue<T1, T2>()
		{
			var inputs = ReadStringArray(2);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			return (v1, v2);
		}

		public (T1, T2, T3) ReadValue<T1, T2, T3>()
		{
			var inputs = ReadStringArray(3);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			return (v1, v2, v3);
		}

		public (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>()
		{
			var inputs = ReadStringArray(4);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			return (v1, v2, v3, v4);
		}

		public (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>()
		{
			var inputs = ReadStringArray(5);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			return (v1, v2, v3, v4, v5);
		}

		public (T1, T2, T3, T4, T5, T6) ReadValue<T1, T2, T3, T4, T5, T6>()
		{
			var inputs = ReadStringArray(6);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
			return (v1, v2, v3, v4, v5, v6);
		}

		public (T1, T2, T3, T4, T5, T6, T7) ReadValue<T1, T2, T3, T4, T5, T6, T7>()
		{
			var inputs = ReadStringArray(7);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
			var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7));
			return (v1, v2, v3, v4, v5, v6, v7);
		}

		public T1[] ReadValueArray<T1>(int N)
		{
			var v1 = new T1[N];
			for (int i = 0; i < N; i++)
			{
				v1[i] = ReadValue<T1>();
			}
			return v1;
		}

		public (T1[], T2[]) ReadValueArray<T1, T2>(int N)
		{
			var (v1, v2) = (new T1[N], new T2[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2) = ReadValue<T1, T2>();
				v1[i] = t1;
				v2[i] = t2;
			}
			return (v1, v2);
		}

		public (T1[], T2[], T3[]) ReadValueArray<T1, T2, T3>(int N)
		{
			var (v1, v2, v3) = (new T1[N], new T2[N], new T3[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3) = ReadValue<T1, T2, T3>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
			}
			return (v1, v2, v3);
		}

		public (T1[], T2[], T3[], T4[]) ReadValueArray<T1, T2, T3, T4>(int N)
		{
			var (v1, v2, v3, v4) = (new T1[N], new T2[N], new T3[N], new T4[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4) = ReadValue<T1, T2, T3, T4>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
			}
			return (v1, v2, v3, v4);
		}

		public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray<T1, T2, T3, T4, T5>(int N)
		{
			var (v1, v2, v3, v4, v5) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5) = ReadValue<T1, T2, T3, T4, T5>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
			}
			return (v1, v2, v3, v4, v5);
		}

		public (T1[], T2[], T3[], T4[], T5[], T6[]) ReadValueArray<T1, T2, T3, T4, T5, T6>(int N)
		{
			var (v1, v2, v3, v4, v5, v6) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5, t6) = ReadValue<T1, T2, T3, T4, T5, T6>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
				v6[i] = t6;
			}
			return (v1, v2, v3, v4, v5, v6);
		}

		public (T1[], T2[], T3[], T4[], T5[], T6[], T7[]) ReadValueArray<T1, T2, T3, T4, T5, T6, T7>(int N)
		{
			var (v1, v2, v3, v4, v5, v6, v7) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N], new T7[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5, t6, t7) = ReadValue<T1, T2, T3, T4, T5, T6, T7>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
				v6[i] = t6;
				v7[i] = t7;
			}
			return (v1, v2, v3, v4, v5, v6, v7);
		}
	}
}
0