using System; using System.Collections.Generic; using System.Linq; // https://yukicoder.me/problems/no/34 class Program { static string InputPattern = "InputX"; static List GetInputList() { var WillReturn = new List(); if (InputPattern == "Input1") { WillReturn.Add("3 2 1 1 3 1"); WillReturn.Add("0 2 0"); WillReturn.Add("0 1 0"); WillReturn.Add("0 0 0"); //4 //遠回りすれば体力を減らさずに着くことができますが、移動回数6が必要です。 //(1,1)→(2,1)→(3,1) の順に歩くと移動回数2ですが、 //途中で死んでしまうためダメです。 //(1,1)→(1,2)→(2,2)→(3,2)→(3,1) の順に歩くのが、 //死なない範囲で最も早く着くことができます。 } else if (InputPattern == "Input2") { WillReturn.Add("4 25 1 1 4 4"); WillReturn.Add("0 1 3 3"); WillReturn.Add("1 4 1 5"); WillReturn.Add("2 2 7 8"); WillReturn.Add("6 7 4 9"); //-1 //どのような経路でも途中で死んでしまうため、次の街へ着くことができません } else if (InputPattern == "Input3") { WillReturn.Add("21 40 15 1 18 21"); WillReturn.Add("0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0"); WillReturn.Add("9 4 3 9 0 4 4 3 0 8 7 0 2 2 2 3 8 1 2 1 2"); WillReturn.Add("2 5 6 3 4 9 1 2 2 6 6 8 0 1 1 0 9 8 4 6 3"); WillReturn.Add("6 5 0 7 9 9 7 2 9 4 3 0 9 7 5 9 0 4 1 9 5"); WillReturn.Add("3 9 2 1 8 4 7 9 8 0 3 9 5 1 2 1 2 5 9 8 1"); WillReturn.Add("0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0"); WillReturn.Add("5 1 7 9 5 2 3 0 4 0 8 4 4 8 5 4 2 8 3 8 6"); WillReturn.Add("3 9 6 7 3 0 4 1 9 5 1 2 2 3 0 8 0 6 6 4 4"); WillReturn.Add("3 6 6 6 7 4 5 3 0 6 7 3 5 1 9 3 0 5 9 9 9"); WillReturn.Add("8 1 1 4 2 5 9 3 2 4 1 8 4 6 3 5 5 3 3 6 4"); WillReturn.Add("0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0"); WillReturn.Add("5 5 7 7 9 2 8 4 5 6 4 6 8 2 7 3 5 8 5 2 4"); WillReturn.Add("9 0 7 7 0 4 1 6 1 9 1 5 0 1 6 5 2 6 6 6 5"); WillReturn.Add("3 9 7 7 2 6 3 7 1 5 3 8 9 5 6 3 4 8 7 3 4"); WillReturn.Add("8 9 1 0 3 9 4 3 9 1 4 8 1 0 5 9 4 3 6 1 3"); WillReturn.Add("0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0"); WillReturn.Add("9 5 0 0 4 9 3 9 6 5 4 2 1 5 9 8 7 8 8 6 3"); WillReturn.Add("7 2 3 9 9 9 7 7 0 5 8 0 6 3 6 1 2 3 1 0 5"); WillReturn.Add("7 8 1 1 8 5 4 3 5 0 2 5 8 5 3 5 3 4 1 0 7"); WillReturn.Add("7 1 8 1 2 0 5 8 1 3 9 6 1 3 8 3 9 4 8 6 8"); WillReturn.Add("0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0"); //33 } else if (InputPattern == "Input4") { return System.IO.File.ReadAllLines(@"D:\CSharp\TestConsole\ukicoderのテストデータ.txt").ToList(); //198 } else { string wkStr; while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr); } return WillReturn; } // 枝切りで使う情報 struct EdakiriInfo { internal int CurrV; internal int Level; } static void Main() { List InputList = GetInputList(); int[] wkArr = { }; Action SplitAct = (pStr) => wkArr = pStr.Split(' ').Select(X => int.Parse(X)).ToArray(); SplitAct(InputList[0]); int N = wkArr[0]; int V = wkArr[1]; int Sx = wkArr[2], Sy = wkArr[3]; int Gx = wkArr[4], Gy = wkArr[5]; int[,] SabakuArr = new int[N + 1, N + 1]; for (int Y = 1; Y <= N; Y++) { SplitAct(InputList[Y]); for (int X = 1; X <= N; X++) { SabakuArr[X, Y] = wkArr[X - 1]; } } var Stk = new Queue(); PQueue.PQueueJyoutaiDef WillPush; WillPush.CurrX = Sx; WillPush.CurrY = Sy; WillPush.CurrV = V; WillPush.Level = 0; Stk.Enqueue(WillPush); int AnswerLevel = int.MaxValue; bool FoundAnswer = false; var EdakiriInfoListDict = new Dictionary>(); while (Stk.Count > 0) { PQueue.PQueueJyoutaiDef Popped = Stk.Dequeue(); //クリア処理 if (Popped.CurrX == Gx && Popped.CurrY == Gy) { FoundAnswer = true; if (AnswerLevel > Popped.Level) { AnswerLevel = Popped.Level; } continue; } Func DeriveGoalKyori = (pCurrX, pCurrY) => Math.Abs(Gx - pCurrX) + Math.Abs(Gy - pCurrY); Action PushAct = (pNewX, pNewY) => { if (pNewX < 1 || N < pNewX) return; if (pNewY < 1 || N < pNewY) return; WillPush.CurrX = pNewX; WillPush.CurrY = pNewY; WillPush.CurrV = Popped.CurrV - SabakuArr[pNewX, pNewY]; if (WillPush.CurrV <= 0) return; WillPush.Level = Popped.Level + 1; // 下限値枝切り if (FoundAnswer) { if (AnswerLevel <= WillPush.Level + DeriveGoalKyori(WillPush.CurrX, WillPush.CurrY)) return; } // 枝切り int Hash = WillPush.CurrX * 1000 + WillPush.CurrY; if (EdakiriInfoListDict.ContainsKey(Hash) == false) { EdakiriInfoListDict[Hash] = new List(); } bool IsNG = false; for (int I = EdakiriInfoListDict[Hash].Count - 1; 0 <= I; I--) { if (EdakiriInfoListDict[Hash][I].CurrV >= WillPush.CurrV && EdakiriInfoListDict[Hash][I].Level <= WillPush.Level) { IsNG = true; break; } if (EdakiriInfoListDict[Hash][I].CurrV <= WillPush.CurrV && EdakiriInfoListDict[Hash][I].Level >= WillPush.Level) { EdakiriInfoListDict[Hash].RemoveAt(I); } } //foreach (EdakiriInfo EachEdakiriInfo in EdakiriInfoListDict[Hash]) { // if (EachEdakiriInfo.CurrV >= WillPush.CurrV && EachEdakiriInfo.Level <= WillPush.Level) { // IsNG = true; // break; // } //} if (IsNG) return; EdakiriInfo WillAdd; WillAdd.CurrV = WillPush.CurrV; WillAdd.Level = WillPush.Level; EdakiriInfoListDict[Hash].Add(WillAdd); // メモ化探索 Stk.Enqueue(WillPush); }; // ゴールまでのマンハッタン距離で処理を分岐 if (DeriveGoalKyori(Popped.CurrX, Popped.CurrY) > 1) { PushAct(Popped.CurrX, Popped.CurrY - 1); PushAct(Popped.CurrX, Popped.CurrY + 1); PushAct(Popped.CurrX - 1, Popped.CurrY); PushAct(Popped.CurrX + 1, Popped.CurrY); } else PushAct(Gx, Gy); } Console.WriteLine(FoundAnswer ? AnswerLevel : -1); } } #region PQueue // 優先度付きキュー (根のValが最小) internal class PQueue { internal struct PQueueJyoutaiDef { internal int CurrX; internal int CurrY; internal int CurrV; internal int Level; } private Dictionary mHeapDict = new Dictionary(); internal bool IsEmpty() { return mHeapDict.Count == 0; } internal long Count() { return mHeapDict.Count; } internal long Peek() { return mHeapDict[1].Level; } // エンキュー処理 internal void Enqueue(PQueueJyoutaiDef pAddJyoutai) { int CurrNode = 1 + mHeapDict.Count; mHeapDict[CurrNode] = pAddJyoutai; while (1 < CurrNode && mHeapDict[CurrNode / 2].Level > mHeapDict[CurrNode].Level) { PQueueJyoutaiDef Swap = mHeapDict[CurrNode]; mHeapDict[CurrNode] = mHeapDict[CurrNode / 2]; mHeapDict[CurrNode / 2] = Swap; CurrNode /= 2; } } // デキュー処理 internal PQueueJyoutaiDef Dequeue() { PQueueJyoutaiDef TopNode = mHeapDict[1]; int LastNode = mHeapDict.Count; mHeapDict[1] = mHeapDict[LastNode]; mHeapDict.Remove(LastNode); MinHeapify(1); return TopNode; } // 根ノードを指定し、根から葉へヒープ構築 private void MinHeapify(int pRootNode) { if (mHeapDict.Count <= 1) { return; } int Left = pRootNode * 2; int Right = pRootNode * 2 + 1; // 左の子、自分、右の子で値が最小のノードを選ぶ long Smallest = mHeapDict[pRootNode].Level; int SmallestNode = pRootNode; if (mHeapDict.ContainsKey(Left) && mHeapDict[Left].Level < Smallest) { Smallest = mHeapDict[Left].Level; SmallestNode = Left; } if (mHeapDict.ContainsKey(Right) && mHeapDict[Right].Level < Smallest) { Smallest = mHeapDict[Right].Level; SmallestNode = Right; } // 子ノードのほうが小さい場合 if (SmallestNode != pRootNode) { PQueueJyoutaiDef Swap = mHeapDict[SmallestNode]; mHeapDict[SmallestNode] = mHeapDict[pRootNode]; mHeapDict[pRootNode] = Swap; // 再帰的に呼び出し MinHeapify(SmallestNode); } } } #endregion