using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
//ピースごとの配置候補
static Dictionary<char, List<bool[,]>> HaitiKouhoListDict =
new Dictionary<char, List<bool[,]>>();
static char[] PieceNameArr = { 'b', 'i', 'l', 'o',
'L', 'N', 'P', 'U',
'V', 'W', 'X', 'Y' };
static int UB_X;
static int UB_Y;
struct JyoutaiDef
{
internal char[,] BanArr;
internal int CurrX;
internal int CurrY;
}
static void Main()
{
char[,] Q1Arr = {{'b','b','L','i','i','i','i','X','U','U'},
{' ','b','L','L','L','L','X','X','X','U'},
{' ',' ','W','W','l','l','l','X','U','U'},
{' ',' ',' ','W','W','V','l','N','N','N'},
{' ',' ',' ',' ','W','V','N','N','o','o'},
{' ',' ',' ',' ',' ','V','V','V','o','o'},
{' ',' ',' ',' ',' ',' ','?','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ',' ','?'}};
char[,] Q5Arr = {{'b','b','l','l','l','U','U','N','N','N'},
{' ','b','o','o','l','U','N','N','P','P'},
{' ',' ','o','o','X','U','U','P','P','P'},
{' ',' ',' ','X','X','X','Y','V','V','V'},
{' ',' ',' ',' ','X','Y','Y','Y','Y','V'},
{' ',' ',' ',' ',' ','?','?','?','?','V'},
{' ',' ',' ',' ',' ',' ','?','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ',' ','?'}};
char[,] Q10Arr = {{'b','b','N','Y','Y','Y','Y','V','V','V'},
{' ','b','N','L','L','Y','l','l','l','V'},
{' ',' ','N','N','L','P','P','P','l','V'},
{' ',' ',' ','N','L','P','P','U','U','U'},
{' ',' ',' ',' ','L','?','?','U','X','U'},
{' ',' ',' ',' ',' ','?','?','X','X','X'},
{' ',' ',' ',' ',' ',' ','?','?','X','?'},
{' ',' ',' ',' ',' ',' ',' ','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ',' ','?'}};
char[,] Q15Arr = {{'i','i','i','i','Y','Y','Y','Y','P','P'},
{' ','b','b','V','V','V','Y','X','P','P'},
{' ',' ','b','V','o','o','X','X','X','P'},
{' ',' ',' ','V','o','o','U','X','U','?'},
{' ',' ',' ',' ','?','?','U','U','U','?'},
{' ',' ',' ',' ',' ','?','?','?','?','?'},
{' ',' ',' ',' ',' ',' ','?','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ',' ','?'}};
char[,] Q19Arr = {{'N','N','L','L','L','L','P','P','o','o'},
{' ','N','N','N','Y','L','P','P','o','o'},
{' ',' ','Y','Y','Y','Y','P','V','V','V'},
{' ',' ',' ','W','W','i','i','i','i','V'},
{' ',' ',' ',' ','W','W','?','?','?','V'},
{' ',' ',' ',' ',' ','W','?','?','?','?'},
{' ',' ',' ',' ',' ',' ','?','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ',' ','?'}};
char[,] Q20Arr = {{'P','P','P','N','l','l','i','i','i','i'},
{' ','P','P','N','N','l','L','L','L','L'},
{' ',' ','b','b','N','l','X','U','U','L'},
{' ',' ',' ','b','N','X','X','X','U','?'},
{' ',' ',' ',' ','?','?','X','U','U','?'},
{' ',' ',' ',' ',' ','?','?','?','?','?'},
{' ',' ',' ',' ',' ',' ','?','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ','?','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ','?','?'},
{' ',' ',' ',' ',' ',' ',' ',' ',' ','?'}};
char[,] WkArr = Q20Arr;
UB_X = WkArr.GetUpperBound(1);
UB_Y = WkArr.GetUpperBound(0);
char[,] QuestionArr = new char[UB_X + 1, UB_Y + 1];
for (int X = 0; X <= UB_X; X++)
for (int Y = 0; Y <= UB_Y; Y++)
QuestionArr[X, Y] = WkArr[Y, X];
foreach (char AnyPiece in PieceNameArr) {
HaitiKouhoListDict[AnyPiece] = DeriveHaitiKouhoList(AnyPiece);
}
var stk = new Stack<JyoutaiDef>();
JyoutaiDef WillPush;
WillPush.BanArr = QuestionArr;
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", ++AnwserCnt);
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]);
//現在のマス目が空きマスの場合は、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();
if (AnyPiece == 'b' || AnyPiece == 'V' ||
AnyPiece == 'o' || AnyPiece == 'W')
WillPush.CurrX = Popped.CurrX;
else 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] = AnyPiece;
}
}
stk.Push(WillPush);
}
}
//現在のマス目が空きマスでない場合は、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);
}
}
}
//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 == 'b') {
wkArr = new bool[2, 2];
wkArr[0, 0] = true; wkArr[1, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = true;
}
//■
//■
//■
//■
if (pPieceName == 'i') {
wkArr = new bool[1, 4];
wkArr[0, 0] = true;
wkArr[0, 1] = true;
wkArr[0, 2] = true;
wkArr[0, 3] = true;
}
//■
//■
//■■
if (pPieceName == 'l') {
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 == 'o') {
wkArr = new bool[2, 2];
wkArr[0, 0] = wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
}
//■
//■
//■
//■■
if (pPieceName == 'L') {
wkArr = new bool[2, 4];
wkArr[0, 0] = true; wkArr[1, 0] = false;
wkArr[0, 1] = true; wkArr[1, 1] = false;
wkArr[0, 2] = true; wkArr[1, 2] = false;
wkArr[0, 3] = wkArr[1, 3] = true;
}
// ■
//■■
//■
//■
if (pPieceName == 'N') {
wkArr = new bool[2, 4];
wkArr[0, 0] = false; wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
wkArr[0, 2] = true; wkArr[1, 2] = false;
wkArr[0, 3] = true; wkArr[1, 3] = false;
}
// ■
//■■
//■■
if (pPieceName == 'P') {
wkArr = new bool[2, 3];
wkArr[0, 0] = false; wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
wkArr[0, 2] = wkArr[1, 2] = true;
}
//■ ■
//■■■
if (pPieceName == 'U') {
wkArr = new bool[3, 2];
wkArr[0, 0] = true; wkArr[1, 0] = false; wkArr[2, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = wkArr[2, 1] = true;
}
//■
//■
//■■■
if (pPieceName == 'V') {
wkArr = new bool[3, 3];
wkArr[0, 0] = true; wkArr[1, 0] = wkArr[2, 0] = false;
wkArr[0, 1] = true; wkArr[1, 1] = wkArr[2, 1] = false;
wkArr[0, 2] = wkArr[1, 2] = wkArr[2, 2] = true;
}
//■
//■■
// ■■
if (pPieceName == 'W') {
wkArr = new bool[3, 3];
wkArr[0, 0] = true; wkArr[1, 0] = wkArr[2, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = true; wkArr[2, 1] = false;
wkArr[0, 2] = false; wkArr[1, 2] = wkArr[2, 2] = true;
}
// ■
//■■■
// ■
if (pPieceName == 'X') {
wkArr = new bool[3, 3];
wkArr[0, 0] = false; wkArr[1, 0] = true; wkArr[2, 0] = false;
wkArr[0, 1] = wkArr[1, 1] = wkArr[2, 1] = true;
wkArr[0, 2] = false; wkArr[1, 2] = true; wkArr[2, 2] = false;
}
// ■
//■■
// ■
// ■
if (pPieceName == 'Y') {
wkArr = new bool[2, 4];
wkArr[0, 0] = false; wkArr[1, 0] = true;
wkArr[0, 1] = wkArr[1, 1] = true;
wkArr[0, 2] = false; wkArr[1, 2] = true;
wkArr[0, 3] = false; wkArr[1, 3] = 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)
{
for (int X = 0; X <= pPieceMap.GetUpperBound(0); X++) {
if (pTargetX + X > UB_X) return false;
for (int Y = 0; Y <= pPieceMap.GetUpperBound(1); Y++) {
if (pTargetY + Y > UB_Y) return false;
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。 各ピースは回転や裏返しても使えます。 トロミノがb テトロミノがilo ペントミノがLNPUVWXY となります。 ■ ■ ■ ■■ ■■ ■ ■ ■■ ■ ■■ ■ ■ ■ ■■ ■ ■ ■ ■ ■■ ■■■ ■ ■■ ■ ■■ ■ ■ ■ ■ ■ ■ ■■ ■■■ ■■ ■■■ ■■ ■ ■ ■ Q1 Q5 Q10 bbLiiiiXUU bblllUUNNN bbNYYYYVVV bLLLLXXXU boolUNNPP bNLLYlllV WWlllXUU ooXUUPPP NNLPPPlV WWVlNNN XXXYVVV NLPPUUU WVNNoo XYYYYV L??UXU VVVoo ????V ??XXX ???? ???? ??X? ??? ??? ??? ?? ?? ?? ? ? ? Q15 Q19 Q20 iiiiYYYYPP NNLLLLPPoo PPPNlliiii bbVVVYXPP NNNYLPPoo PPNNlLLLL bVooXXXP YYYYPVVV bbNlXUUL VooUXU? WWiiiiV bNXXXU? ??UUU? WW???V ??XUU? ????? W???? ????? ???? ???? ???? ??? ??? ??? ?? ?? ?? ? ? ?