using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
const int UB_X = 9 - 1;
const int UB_Y = 5 - 1;
//ピースごとの配置候補
static Dictionary<char, List<bool[,]>> HaitiKouhoListDict =
new Dictionary<char, List<bool[,]>>();
static char[] PieceNameArr = { '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A',
'B', 'C'};
struct JyoutaiDef
{
internal char[,] BanArr;
internal int CurrX;
internal int CurrY;
}
static void Main()
{
var sw = System.Diagnostics.Stopwatch.StartNew();
foreach (char AnyPiece in PieceNameArr) {
HaitiKouhoListDict[AnyPiece] = DeriveHaitiKouhoList(AnyPiece);
}
//回転解を除外(ピース6は回転させない)
HaitiKouhoListDict['6'].RemoveRange(1, HaitiKouhoListDict['6'].Count - 1);
var stk = new Stack<JyoutaiDef>();
JyoutaiDef WillPush;
WillPush.BanArr = new char[UB_X + 1, UB_Y + 1];
for (int X = 0; X <= UB_X; X++)
for (int Y = 0; Y <= UB_Y; Y++)
WillPush.BanArr[X, Y] = ' ';
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);
return;
}
//Y座標の繰上げ処理
if (Popped.CurrY > UB_Y) {
Popped.CurrY = 0;
Popped.CurrX++;
}
//最終列を超えた場合
if (Popped.CurrX > UB_X) continue;
//使用済のピース名の配列
char[] UsedPieceArr = Popped.BanArr.Cast<char>().Distinct().ToArray();
foreach (char AnyPiece in PieceNameArr) {
if (Array.IndexOf(UsedPieceArr, AnyPiece) >= 0) continue;
//ピースの配置候補リスト
List<bool[,]> HaitiKouhoList = new List<bool[,]>();
HaitiKouhoList.AddRange(HaitiKouhoListDict[AnyPiece]);
//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);
}
//マス目にピース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;
WillPush.CurrY = Popped.CurrY + 1;
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] = AnyPiece;
}
}
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;
WillPush.CurrY = Popped.CurrY + 1;
stk.Push(WillPush);
}
}
}
//ピース名を引数として、回転させた配置のListを返す
static List<bool[,]> DeriveHaitiKouhoList(char pPieceName)
{
bool[,] wkArr = null;
//■■■
if (pPieceName == '1') {
wkArr = new bool[3, 1];
wkArr[0, 0] = wkArr[1, 0] = wkArr[2, 0] = true;
}
//■■
//■■
if (pPieceName == '2') {
wkArr = new bool[2, 2];
wkArr[0, 0] = wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
}
//■
//■
//■
if (pPieceName == '3') {
wkArr = new bool[1, 3];
wkArr[0, 0] = true;
wkArr[0, 1] = true;
wkArr[0, 2] = true;
}
//■■■
//■
if (pPieceName == '4') {
wkArr = new bool[3, 2];
wkArr[0, 0] = wkArr[1, 0] = wkArr[2, 0] = true;
wkArr[0, 1] = true; wkArr[1, 1] = wkArr[2, 1] = false;
}
//■
//■
//■
//■
if (pPieceName == '5') {
wkArr = new bool[1, 4];
wkArr[0, 0] = true;
wkArr[0, 1] = true;
wkArr[0, 2] = true;
wkArr[0, 3] = true;
}
//■
//■
//■■
if (pPieceName == '6') {
wkArr = new bool[2, 3];
wkArr[0, 0] = true; wkArr[1, 0] = false;
wkArr[0, 1] = true; wkArr[1, 1] = false;
wkArr[0, 2] = wkArr[1, 2] = true;
}
//■
//■■
// ■
if (pPieceName == '7') {
wkArr = new bool[2, 3];
wkArr[0, 0] = true; wkArr[1, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = true;
wkArr[0, 2] = false; wkArr[1, 2] = true;
}
//■
//■■
if (pPieceName == '8') {
wkArr = new bool[2, 2];
wkArr[0, 0] = true; wkArr[1, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = true;
}
// ■■
//■■
if (pPieceName == '9') {
wkArr = new bool[3, 2];
wkArr[0, 0] = false; wkArr[1, 0] = wkArr[2, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true; wkArr[2, 1] = false;
}
//■■■■
if (pPieceName == 'A') {
wkArr = new bool[4, 1];
wkArr[0, 0] = wkArr[1, 0] = wkArr[2, 0] = wkArr[3, 0] = true;
}
// ■
//■■■
if (pPieceName == 'B') {
wkArr = new bool[3, 2];
wkArr[0, 0] = false; wkArr[1, 0] = true; wkArr[2, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = wkArr[2, 1] = true;
}
// ■
//■■
// ■
if (pPieceName == 'C') {
wkArr = new bool[2, 3];
wkArr[0, 0] = false; wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
wkArr[0, 2] = false; wkArr[1, 2] = 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180度回転
//■■■
// ■
//3個目は2個目とX軸で線対称
//■■■
//■
//4個目は3個目を時計回りに180度回転
// ■
//■■■
int BaseArrUB_X = pBaseArr.GetUpperBound(0);
int BaseArrUB_Y = pBaseArr.GetUpperBound(1);
for (int I = 1; I <= 4; I++) KaitenArrList.Add(null);
for (int P = 0; P <= 3; P++) KaitenArrList[P] = new bool[BaseArrUB_X + 1, BaseArrUB_Y + 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][BaseArrUB_X - X, BaseArrUB_Y - Y] = SetVal;
KaitenArrList[2][X, BaseArrUB_Y - Y] = SetVal;
KaitenArrList[3][BaseArrUB_X - X, Y] = 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());
}
}
12ピースは下記となります。 各ピースは長方形の組み合わせなので、 180度の回転、裏返し、裏返し180度の回転でも使えます。 ■■■ ■■ ■ ■■ ■ ■ ■■■ ■ ■ ■ ■ ■ ■ ■■ ■ ■ ■ ■■ ■■ ■■ ■■ ■ ■ ■ ■■■■ ■■■ ■■ ■