結果
| 問題 |
No.1480 Many Complete Graphs
|
| コンテスト | |
| ユーザー |
|
| 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 | 396 ms / 2,000 ms |
| コード長 | 17,895 bytes |
| コンパイル時間 | 4,386 ms |
| コンパイル使用メモリ | 116,608 KB |
| 実行使用メモリ | 45,948 KB |
| 最終ジャッジ日時 | 2024-07-03 04:05:12 |
| 合計ジャッジ時間 | 17,849 ms |
|
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 57 |
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
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);
}
}
}