using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
const int UB_X = 6 - 1;
const int UB_Y = 5 - 1;
static char[] AnimalArr = { '兎', '馬', '亀', '羊', '豚', '河', '栗' };
//動物ごとの配置候補
static Dictionary<char, List<bool[,]>> HaitiKouhoListDict =
new Dictionary<char, List<bool[,]>>();
struct JyoutaiDef
{
internal char[,] BanArr;
internal int CurrX;
internal int CurrY;
}
static void Main()
{
var sw = System.Diagnostics.Stopwatch.StartNew();
foreach (char EachAnimal in AnimalArr) {
HaitiKouhoListDict[EachAnimal] = DeriveHaitiKouhoList(EachAnimal);
}
//問23
char[,] Q023 = {{'兎','兎','兎','兎','羊','羊'},
{'豚','豚','馬','羊','羊','羊'},
{'豚','豚','馬','馬','馬','馬'},
{'□','□','□','□','□','□'},
{'□','□','□','□','□','□'}};
//問25
char[,] Q025 = {{'栗','馬','馬','馬','馬','□'},
{'栗','馬','羊','羊','□','□'},
{'栗','栗','羊','羊','□','□'},
{'豚','豚','羊','□','□','□'},
{'豚','豚','□','□','□','□'}};
//問題29
char[,] Q029 = {{'河','河','河','河','□','□'},
{'兎','河','羊','羊','□','□'},
{'兎','羊','羊','羊','□','□'},
{'兎','豚','豚','□','□','□'},
{'兎','豚','豚','□','□','□'}};
//問題30
char[,] Q030 = {{'馬','馬','馬','馬','□','□'},
{'馬','亀','兎','□','□','□'},
{'亀','亀','兎','□','□','□'},
{'豚','豚','兎','□','□','□'},
{'豚','豚','兎','□','□','□'}};
//問題101
char[,] Q101 = {{'□','□','□','□','□','□'},
{'羊','羊','羊','□','□','□'},
{'□','羊','羊','□','□','□'},
{'□','□','□','□','□','□'},
{'□','□','□','□','□','□'}};
//char[,] wkBan = Q023;
//char[,] wkBan = Q025;
//char[,] wkBan = Q029;
//char[,] wkBan = Q030;
char[,] wkBan = Q101;
//X座標とY座標の入れ替え
char[,] XYRevBan = new char[UB_X + 1, UB_Y + 1];
for (int X = 0; X <= UB_X; X++) {
for (int Y = 0; Y <= UB_Y; Y++) {
XYRevBan[X, Y] = wkBan[Y, X];
}
}
var stk = new Stack<JyoutaiDef>();
JyoutaiDef WillPush;
WillPush.BanArr = XYRevBan;
WillPush.CurrX = WillPush.CurrY = 0;
stk.Push(WillPush);
int AnwserCnt = 0;
while (stk.Count > 0) {
JyoutaiDef Popped = stk.Pop();
//クリア判定
if (Popped.BanArr.Cast<char>().All(X => X != '□')) {
Console.WriteLine("解{0}を発見。経過時間={1}", ++AnwserCnt, sw.Elapsed);
PrintAnswer(Popped.BanArr);
continue;
}
//X座標の繰上げ処理
if (Popped.CurrX > UB_X) {
Popped.CurrX = 0;
Popped.CurrY++;
}
//最終行を超えた場合
if (Popped.CurrY > UB_Y) continue;
//使用済の動物の列挙インターフェース
IEnumerable<char> UsedAnimalEnum = Popped.BanArr.Cast<char>().Distinct();
foreach (char EachAnimal in AnimalArr.Except(UsedAnimalEnum)) {
//動物の配置候補リスト
List<bool[,]> HaitiKouhoList = new List<bool[,]>();
HaitiKouhoList.AddRange(HaitiKouhoListDict[EachAnimal]);
//現在のマス目が空白の場合は、マス目を埋める必要あり
if (Popped.BanArr[Popped.CurrX, Popped.CurrY] == '□') {
HaitiKouhoList.RemoveAll(X => X[0, 0] == false);
}
//マス目に動物を埋めれない候補をRemove
HaitiKouhoList.RemoveAll(X =>
CanFillPiece(X, Popped.CurrX, Popped.CurrY, Popped.BanArr) == false);
//ピースを配置する経路のPush処理
foreach (bool[,] AnyPieceMap in HaitiKouhoList) {
WillPush.BanArr = (char[,])Popped.BanArr.Clone();
WillPush.CurrX = Popped.CurrX + 1;
WillPush.CurrY = Popped.CurrY;
for (int X = 0; X <= AnyPieceMap.GetUpperBound(0); X++) {
for (int Y = 0; Y <= AnyPieceMap.GetUpperBound(1); Y++) {
if (AnyPieceMap[X, Y] == false) continue;
WillPush.BanArr[Popped.CurrX + X, Popped.CurrY + Y] = EachAnimal;
}
}
stk.Push(WillPush);
}
}
//現在のマス目が空白でない場合は、ピースを配置しない経路のPush
if (Popped.BanArr[Popped.CurrX, Popped.CurrY] != '□') {
WillPush.BanArr = Popped.BanArr;
WillPush.CurrX = Popped.CurrX + 1;
WillPush.CurrY = Popped.CurrY;
stk.Push(WillPush);
}
}
}
//動物名を引数として、回転させた配置のListを返す
static List<bool[,]> DeriveHaitiKouhoList(char pAnimalName)
{
bool[,] wkArr = null;
if (pAnimalName == '兎') {
wkArr = new bool[1, 4];
wkArr[0, 0] = true;
wkArr[0, 1] = true;
wkArr[0, 2] = true;
wkArr[0, 3] = true;
}
if (pAnimalName == '馬') {
wkArr = new bool[4, 2];
wkArr[0, 0] = true; wkArr[1, 0] = wkArr[2, 0] = wkArr[3, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = wkArr[2, 1] = wkArr[3, 1] = true;
}
if (pAnimalName == '亀') {
wkArr = new bool[2, 2];
wkArr[0, 0] = true; wkArr[1, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = true;
}
if (pAnimalName == '羊') {
wkArr = new bool[3, 2];
wkArr[0, 0] = wkArr[1, 0] = wkArr[2, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true; wkArr[2, 1] = false;
}
if (pAnimalName == '豚') {
wkArr = new bool[2, 2];
wkArr[0, 0] = wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
}
if (pAnimalName == '河') {
wkArr = new bool[4, 2];
wkArr[0, 0] = false; wkArr[1, 0] = true; ; wkArr[2, 0] = wkArr[3, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = wkArr[2, 1] = wkArr[3, 1] = true;
}
if (pAnimalName == '栗') {
wkArr = new bool[3, 2];
wkArr[0, 0] = wkArr[1, 0] = false; wkArr[2, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = wkArr[2, 1] = true;
}
return DeriveKaitenArrList(wkArr);
}
//配列を引数として、回転させた配列のリストをDistinctして返す
static List<bool[,]> DeriveKaitenArrList(bool[,] pBaseArr)
{
var KaitenArrList = new List<bool[,]>();
//1個目はそのまま
//■
//■■■
//2個目は1個目を時計回りに90度回転
//■■
//■
//■
//3個目は2個目を時計回りに90度回転
//■■■
// ■
//4個目は3個目を時計回りに90度回転
// ■
// ■
//■■
//5個目は1個目とX軸で線対称
//■■■
//■
//6個目は5個目を時計回りに90度回転
//■■
// ■
// ■
//7個目は6個目を時計回りに90度回転
// ■
//■■■
//8個目は7個目を時計回りに90度回転
//■
//■
//■■
int BaseArrUB_X = pBaseArr.GetUpperBound(0);
int BaseArrUB_Y = pBaseArr.GetUpperBound(1);
for (int I = 1; I <= 8; I++) KaitenArrList.Add(null);
for (int P = 0; P <= 6; P += 2) KaitenArrList[P] = new bool[BaseArrUB_X + 1, BaseArrUB_Y + 1];
for (int P = 1; P <= 7; P += 2) KaitenArrList[P] = new bool[BaseArrUB_Y + 1, BaseArrUB_X + 1];
for (int X = 0; X <= BaseArrUB_X; X++) {
for (int Y = 0; Y <= BaseArrUB_Y; Y++) {
bool SetVal = pBaseArr[X, Y];
KaitenArrList[0][X, Y] = SetVal;
KaitenArrList[1][Y, BaseArrUB_X - X] = SetVal;
KaitenArrList[2][BaseArrUB_X - X, BaseArrUB_Y - Y] = SetVal;
KaitenArrList[3][BaseArrUB_Y - Y, X] = SetVal;
KaitenArrList[4][X, BaseArrUB_Y - Y] = SetVal;
KaitenArrList[5][BaseArrUB_Y - Y, BaseArrUB_X - X] = SetVal;
KaitenArrList[6][BaseArrUB_X - X, Y] = SetVal;
KaitenArrList[7][Y, X] = SetVal;
}
}
//Distinctする
for (int I = KaitenArrList.Count - 1; 0 <= I; I--) {
for (int J = 0; J <= I - 1; J++) {
if (KaitenArrList[I].GetUpperBound(0) !=
KaitenArrList[J].GetUpperBound(0)) continue;
if (KaitenArrList[I].GetUpperBound(1) !=
KaitenArrList[J].GetUpperBound(1)) continue;
IEnumerable<bool> wkEnum1 = KaitenArrList[I].Cast<bool>();
IEnumerable<bool> wkEnum2 = KaitenArrList[J].Cast<bool>();
if (wkEnum1.SequenceEqual(wkEnum2) == false) continue;
KaitenArrList.RemoveAt(I);
break;
}
}
return KaitenArrList;
}
//マス目にピースを埋めれるか
static bool CanFillPiece(bool[,] pPieceMap, int pTargetX, int pTargetY, char[,] pBanArr)
{
if (pTargetX + pPieceMap.GetUpperBound(0) > UB_X) return false;
if (pTargetY + pPieceMap.GetUpperBound(1) > UB_Y) return false;
for (int X = 0; X <= pPieceMap.GetUpperBound(0); X++) {
for (int Y = 0; Y <= pPieceMap.GetUpperBound(1); Y++) {
if (pPieceMap[X, Y] && pBanArr[pTargetX + X, pTargetY + Y] != '□')
return false;
}
}
return true;
}
//解を出力
static void PrintAnswer(char[,] pBanArr)
{
var sb = new System.Text.StringBuilder();
for (int Y = 0; Y <= UB_Y; Y++) {
for (int X = 0; X <= UB_X; X++) {
sb.Append(pBanArr[X, Y]);
}
sb.AppendLine();
}
Console.WriteLine(sb.ToString());
}
}
7つのピースは下記となります。 各ピースは回転や裏返しても使えます。 兎 兎 兎 兎 馬 馬馬馬馬 亀 亀亀 羊羊羊 羊羊 豚豚 豚豚 河 河河河河 栗 栗栗栗
