using System; using System.Collections.Generic; using System.Linq; class Program { static string InputPattern = "Input4"; static List GetInputList() { var WillReturn = new List(); if (InputPattern == "Input1") { WillReturn.Add("3"); WillReturn.Add("1 2 3"); } else if (InputPattern == "Input2") { WillReturn.Add("5"); WillReturn.Add("1 2 3 4 5"); } else if (InputPattern == "Input3") { WillReturn.Add("15"); WillReturn.Add("62 8 90 2 24 62 38 64 76 60 30 76 80 74 72"); } else { string wkStr; while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr); } return WillReturn; } struct JyoutaiDef { internal int CurrP; internal HashSet SelectedLeftOmoriIndSet; internal HashSet SelectedRightOmoriIndSet; } static void Main() { List InputList = GetInputList(); int[] OmoriArr = InputList.Skip(1).SelectMany(X => X.Split(' '), (X, Y) => int.Parse(Y)).ToArray(); //事前に総和の半分を求めておく int OmoriSum = OmoriArr.Sum(); //総和が奇数ならその時点で解なしとなる if (OmoriSum % 2 == 1) { Console.WriteLine("impossible"); return; } var stk = new Stack(); JyoutaiDef WillPush; WillPush.CurrP = 0; WillPush.SelectedLeftOmoriIndSet = new HashSet() { 0 }; //1つめの重りは必ず左にセット WillPush.SelectedRightOmoriIndSet = new HashSet(); stk.Push(WillPush); while (stk.Count > 0) { JyoutaiDef Popped = stk.Pop(); //クリア判定 int LeftSum; int pRightSum; DeriveOmoriSumArr(OmoriArr, Popped.SelectedLeftOmoriIndSet, Popped.SelectedRightOmoriIndSet, out LeftSum, out pRightSum); if (LeftSum == OmoriSum / 2) { Console.WriteLine("possible"); return; } else if (LeftSum > OmoriSum / 2) continue; //総和の半分を超えたら枝切り else if (pRightSum > OmoriSum / 2) continue; //総和の半分を超えたら枝切り if (Popped.CurrP > OmoriArr.GetUpperBound(0)) continue; //重りを左にセットする経路のPush WillPush.CurrP = Popped.CurrP + 1; WillPush.SelectedLeftOmoriIndSet = new HashSet(Popped.SelectedLeftOmoriIndSet) { WillPush.CurrP }; WillPush.SelectedRightOmoriIndSet = Popped.SelectedRightOmoriIndSet; stk.Push(WillPush); //重りを右にセットする経路のPush WillPush.SelectedLeftOmoriIndSet = Popped.SelectedRightOmoriIndSet; WillPush.SelectedRightOmoriIndSet = new HashSet(Popped.SelectedRightOmoriIndSet) { WillPush.CurrP }; stk.Push(WillPush); } Console.WriteLine("impossible"); } //重りの添字Listを引数として、2つの天秤の重りの合計を求める static void DeriveOmoriSumArr(int[] pOmoriArr, HashSet pSelectedLeftOmoriIndSet, HashSet pSelectedRightOmoriIndSet, out int pLeftSum, out int pRightSum) { pLeftSum = pRightSum = 0; for (int I = 0; I <= pOmoriArr.GetUpperBound(0); I++) { if (pSelectedLeftOmoriIndSet.Contains(I)) { pLeftSum += pOmoriArr[I]; } if (pSelectedRightOmoriIndSet.Contains(I)) { pRightSum += pOmoriArr[I]; } } } }