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Puzzle15State.cs
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using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace Puzzle15
{
class Puzzle15State : State
{
private int[,] square = new int[4, 4];
private static int g;
public int[,] Square
{
get
{
return square;
}
set
{
square = value;
}
}
public Puzzle15State(int[,] square)
{
for (int i = 0; i < 4; i++)
for (int j = 0; j < 4; j++)
this.square[i, j] = square[i, j];
}
public override string ToString()
{
string result = string.Empty;
for (int i = 0; i < 4; i++)
for (int j = 0; j < 4; j++)
result += square[i, j].ToString() + ' ';
result += "\r\n";
return result;
}
public override bool Equals(object obj)
{
Puzzle15State s = (Puzzle15State)obj;
for (int i = 0; i < 4; i++)
for (int j = 0; j < 4; j++)
if (square[i, j] != s.square[i, j])
return false;
return true;
}
public override LinkedList<State> GetPossibleMoves()
{
LinkedList<State> list = new LinkedList<State>();
int[, ,] tempSquare = new int[4, 4, 4];
int b = expand(tempSquare);
for (int i = 0; i < b; i++)
{
int[,] ts = new int[4, 4];
for (int j = 0; j < 4; j++)
for (int k = 0; k < 4; k++)
ts[j, k] = tempSquare[i, j, k];
Puzzle15State state = new Puzzle15State(ts);
state.Parent = this;
state.Distance = g + ManhattanDistance(ts);
list.AddLast(state);
}
g++;
return list;
}
private int expand(int[, ,] tempSquare)
{
int b = -1, col = -1, i, j, k, row = -1;
for (i = 0; i < 4; i++)
for (j = 0; j < 4; j++)
for (k = 0; k < 4; k++)
tempSquare[i, j, k] = square[j, k];
for (i = 0; i < 4; i++)
{
for (j = 0; j < 4; j++)
{
if (square[i, j] == 0)
{
row = i;
col = j;
break;
}
}
}
if (row == 0 && col == 0)
{
tempSquare[0, 0, 0] = tempSquare[0, 0, 1];
tempSquare[0, 0, 1] = 0;
tempSquare[1, 0, 0] = tempSquare[1, 1, 0];
tempSquare[1, 1, 0] = 0;
b = 2;
}
else if (row == 0 && col == 1)
{
tempSquare[0, 0, 1] = tempSquare[0, 0, 0];
tempSquare[0, 0, 0] = 0;
tempSquare[1, 0, 1] = tempSquare[1, 1, 1];
tempSquare[1, 1, 1] = 0;
tempSquare[2, 0, 1] = tempSquare[2, 0, 2];
tempSquare[2, 0, 2] = 0;
b = 3;
}
else if (row == 0 && col == 2)
{
tempSquare[0, 0, 2] = tempSquare[0, 0, 1];
tempSquare[0, 0, 1] = 0;
tempSquare[1, 0, 2] = tempSquare[1, 1, 2];
tempSquare[1, 1, 2] = 0;
tempSquare[2, 0, 2] = tempSquare[2, 0, 3];
tempSquare[2, 0, 3] = 0;
b = 3;
}
else if (row == 0 && col == 3)
{
tempSquare[0, 0, 3] = tempSquare[0, 0, 2];
tempSquare[0, 0, 2] = 0;
tempSquare[1, 0, 3] = tempSquare[1, 1, 3];
tempSquare[1, 1, 3] = 0;
b = 2;
}
else if (row == 1 && col == 0)
{
tempSquare[0, 1, 0] = tempSquare[0, 0, 0];
tempSquare[0, 0, 0] = 0;
tempSquare[1, 1, 0] = tempSquare[1, 1, 1];
tempSquare[1, 1, 1] = 0;
tempSquare[2, 1, 0] = tempSquare[2, 2, 0];
tempSquare[2, 2, 0] = 0;
b = 3;
}
else if (row == 1 && col == 1)
{
tempSquare[0, 1, 1] = tempSquare[0, 1, 0];
tempSquare[0, 1, 0] = 0;
tempSquare[1, 1, 1] = tempSquare[1, 0, 1];
tempSquare[1, 0, 1] = 0;
tempSquare[2, 1, 1] = tempSquare[2, 1, 2];
tempSquare[2, 1, 2] = 0;
tempSquare[3, 1, 1] = tempSquare[3, 2, 1];
tempSquare[3, 2, 1] = 0;
b = 4;
}
else if (row == 1 && col == 2)
{
tempSquare[0, 1, 2] = tempSquare[0, 0, 2];
tempSquare[0, 0, 2] = 0;
tempSquare[1, 1, 2] = tempSquare[1, 1, 1];
tempSquare[1, 1, 1] = 0;
tempSquare[2, 1, 2] = tempSquare[2, 2, 2];
tempSquare[2, 2, 2] = 0;
tempSquare[3, 1, 2] = tempSquare[3, 1, 3];
tempSquare[3, 1, 3] = 0;
b = 4;
}
else if (row == 1 && col == 3)
{
tempSquare[0, 1, 3] = tempSquare[0, 0, 3];
tempSquare[0, 0, 3] = 0;
tempSquare[1, 1, 3] = tempSquare[1, 1, 2];
tempSquare[1, 1, 2] = 0;
tempSquare[2, 1, 3] = tempSquare[2, 2, 3];
tempSquare[2, 2, 3] = 0;
b = 4;
}
else if (row == 2 && col == 0)
{
tempSquare[0, 2, 0] = tempSquare[0, 1, 0];
tempSquare[0, 1, 0] = 0;
tempSquare[1, 2, 0] = tempSquare[1, 2, 1];
tempSquare[1, 2, 1] = 0;
tempSquare[2, 2, 0] = tempSquare[2, 3, 0];
tempSquare[2, 3, 0] = 0;
b = 3;
}
else if (row == 2 && col == 1)
{
tempSquare[0, 2, 1] = tempSquare[0, 2, 0];
tempSquare[0, 2, 0] = 0;
tempSquare[1, 2, 1] = tempSquare[1, 1, 1];
tempSquare[1, 1, 1] = 0;
tempSquare[2, 2, 1] = tempSquare[2, 2, 2];
tempSquare[2, 2, 2] = 0;
tempSquare[3, 2, 1] = tempSquare[3, 3, 1];
tempSquare[3, 3, 1] = 0;
b = 4;
}
else if (row == 2 && col == 2)
{
tempSquare[0, 2, 2] = tempSquare[0, 2, 1];
tempSquare[0, 2, 1] = 0;
tempSquare[1, 2, 2] = tempSquare[1, 1, 2];
tempSquare[1, 1, 2] = 0;
tempSquare[2, 2, 2] = tempSquare[2, 2, 3];
tempSquare[2, 2, 3] = 0;
tempSquare[3, 2, 2] = tempSquare[3, 3, 2];
tempSquare[3, 3, 2] = 0;
b = 4;
}
else if (row == 2 && col == 3)
{
tempSquare[0, 2, 3] = tempSquare[0, 1, 3];
tempSquare[0, 1, 3] = 0;
tempSquare[1, 2, 3] = tempSquare[1, 2, 2];
tempSquare[1, 2, 2] = 0;
tempSquare[2, 2, 3] = tempSquare[2, 3, 3];
tempSquare[2, 3, 3] = 0;
b = 3;
}
else if (row == 3 && col == 0)
{
tempSquare[0, 3, 0] = tempSquare[0, 2, 0];
tempSquare[0, 2, 0] = 0;
tempSquare[1, 3, 0] = tempSquare[1, 3, 1];
tempSquare[1, 3, 1] = 0;
b = 2;
}
else if (row == 3 && col == 1)
{
tempSquare[0, 3, 1] = tempSquare[0, 2, 1];
tempSquare[0, 2, 1] = 0;
tempSquare[1, 3, 1] = tempSquare[1, 3, 0];
tempSquare[1, 3, 0] = 0;
tempSquare[2, 3, 1] = tempSquare[2, 3, 2];
tempSquare[2, 3, 2] = 0;
b = 3;
}
else if (row == 3 && col == 2)
{
tempSquare[0, 3, 2] = tempSquare[0, 2, 2];
tempSquare[0, 2, 2] = 0;
tempSquare[1, 3, 2] = tempSquare[1, 3, 1];
tempSquare[1, 3, 1] = 0;
tempSquare[2, 3, 2] = tempSquare[2, 3, 3];
tempSquare[2, 3, 3] = 0;
b = 3;
}
else if (row == 3 && col == 3)
{
tempSquare[0, 3, 3] = tempSquare[0, 2, 3];
tempSquare[0, 2, 3] = 0;
tempSquare[1, 3, 3] = tempSquare[1, 3, 2];
tempSquare[1, 3, 2] = 0;
b = 2;
}
return b;
}
public override bool IsSolution()
{
bool found = true;
for (int i = 0; found && i < 4; i++)
{
for (int j = 0; found && j < 4; j++)
{
if (i == 3 && j == 3)
found = square[i, j] == 0;
else
found = square[i, j] == 4 * i + j + 1;
}
}
return found;
}
public override double GetHeuristic()
{
return ManhattanDistance(square);
}
private int ManhattanDistance(int[,] square)
{
// city block or Manhatten distance heuristic
int md = 0;
// first row
if (square[0, 0] == 1)
md += 0;
else if (square[0, 0] == 2)
md += 1;
else if (square[0, 0] == 3)
md += 2;
else if (square[0, 0] == 4)
md += 3;
else if (square[0, 0] == 5)
md += 1;
else if (square[0, 0] == 6)
md += 2;
else if (square[0, 0] == 7)
md += 3;
else if (square[0, 0] == 8)
md += 4;
else if (square[0, 0] == 9)
md += 2;
else if (square[0, 0] == 10)
md += 3;
else if (square[0, 0] == 11)
md += 4;
else if (square[0, 0] == 12)
md += 5;
else if (square[0, 0] == 13)
md += 3;
else if (square[0, 0] == 14)
md += 4;
else if (square[0, 0] == 15)
md += 5;
if (square[0, 1] == 1)
md += 1;
else if (square[0, 1] == 2)
md += 0;
else if (square[0, 1] == 3)
md += 1;
else if (square[0, 1] == 4)
md += 2;
else if (square[0, 1] == 5)
md += 2;
else if (square[0, 1] == 6)
md += 1;
else if (square[0, 1] == 7)
md += 2;
else if (square[0, 1] == 8)
md += 3;
else if (square[0, 1] == 9)
md += 3;
else if (square[0, 1] == 10)
md += 2;
else if (square[0, 1] == 11)
md += 3;
else if (square[0, 1] == 12)
md += 4;
else if (square[0, 1] == 13)
md += 4;
else if (square[0, 1] == 14)
md += 3;
else if (square[0, 1] == 15)
md += 4;
if (square[0, 2] == 1)
md += 2;
else if (square[0, 2] == 2)
md += 1;
else if (square[0, 2] == 3)
md += 0;
else if (square[0, 2] == 4)
md += 1;
else if (square[0, 2] == 5)
md += 3;
else if (square[0, 2] == 6)
md += 2;
else if (square[0, 2] == 7)
md += 1;
else if (square[0, 2] == 8)
md += 2;
else if (square[0, 2] == 9)
md += 4;
else if (square[0, 2] == 10)
md += 3;
else if (square[0, 2] == 11)
md += 2;
else if (square[0, 2] == 12)
md += 3;
else if (square[0, 2] == 13)
md += 5;
else if (square[0, 2] == 14)
md += 4;
else if (square[0, 2] == 15)
md += 3;
if (square[0, 3] == 1)
md += 3;
else if (square[0, 3] == 2)
md += 2;
else if (square[0, 3] == 3)
md += 1;
else if (square[0, 3] == 4)
md += 0;
else if (square[0, 3] == 5)
md += 4;
else if (square[0, 3] == 6)
md += 3;
else if (square[0, 3] == 7)
md += 2;
else if (square[0, 3] == 8)
md += 1;
else if (square[0, 3] == 9)
md += 5;
else if (square[0, 3] == 10)
md += 4;
else if (square[0, 3] == 11)
md += 3;
else if (square[0, 3] == 12)
md += 2;
else if (square[0, 3] == 13)
md += 6;
else if (square[0, 3] == 14)
md += 5;
else if (square[0, 3] == 15)
md += 4;
// second row
if (square[1, 0] == 1)
md += 1;
else if (square[1, 0] == 2)
md += 2;
else if (square[1, 0] == 3)
md += 3;
else if (square[1, 0] == 4)
md += 4;
else if (square[1, 0] == 5)
md += 0;
else if (square[1, 0] == 6)
md += 1;
else if (square[1, 0] == 7)
md += 2;
else if (square[1, 0] == 8)
md += 3;
else if (square[1, 0] == 9)
md += 1;
else if (square[1, 0] == 10)
md += 2;
else if (square[1, 0] == 11)
md += 3;
else if (square[1, 0] == 12)
md += 4;
else if (square[1, 0] == 13)
md += 2;
else if (square[1, 0] == 14)
md += 3;
else if (square[1, 0] == 15)
md += 4;
if (square[1, 1] == 1)
md += 2;
else if (square[1, 1] == 2)
md += 1;
else if (square[1, 1] == 3)
md += 2;
else if (square[1, 1] == 4)
md += 3;
else if (square[1, 1] == 5)
md += 1;
else if (square[1, 1] == 6)
md += 0;
else if (square[1, 1] == 7)
md += 1;
else if (square[1, 1] == 8)
md += 2;
else if (square[1, 1] == 9)
md += 2;
else if (square[1, 1] == 10)
md += 1;
else if (square[1, 1] == 11)
md += 2;
else if (square[1, 1] == 12)
md += 3;
else if (square[1, 1] == 13)
md += 3;
else if (square[1, 1] == 14)
md += 2;
else if (square[1, 1] == 15)
md += 3;
if (square[1, 2] == 1)
md += 3;
else if (square[1, 2] == 2)
md += 2;
else if (square[1, 2] == 3)
md += 1;
else if (square[1, 2] == 4)
md += 2;
else if (square[1, 2] == 5)
md += 2;
else if (square[1, 2] == 6)
md += 1;
else if (square[1, 2] == 7)
md += 0;
else if (square[1, 2] == 8)
md += 1;
else if (square[1, 2] == 9)
md += 3;
else if (square[1, 2] == 10)
md += 2;
else if (square[1, 2] == 11)
md += 1;
else if (square[1, 2] == 12)
md += 2;
else if (square[1, 2] == 13)
md += 4;
else if (square[1, 2] == 14)
md += 3;
else if (square[1, 2] == 15)
md += 2;
if (square[1, 3] == 1)
md += 4;
else if (square[1, 3] == 2)
md += 3;
else if (square[1, 3] == 3)
md += 2;
else if (square[1, 3] == 4)
md += 1;
else if (square[1, 3] == 5)
md += 3;
else if (square[1, 3] == 6)
md += 6;
else if (square[1, 3] == 7)
md += 1;
else if (square[1, 3] == 8)
md += 0;
else if (square[1, 3] == 9)
md += 4;
else if (square[1, 3] == 10)
md += 3;
else if (square[1, 3] == 11)
md += 2;
else if (square[1, 3] == 12)
md += 1;
else if (square[1, 3] == 13)
md += 5;
else if (square[1, 3] == 14)
md += 4;
else if (square[1, 3] == 15)
md += 3;
// third row
if (square[2, 0] == 1)
md += 2;
else if (square[2, 0] == 2)
md += 3;
else if (square[2, 0] == 3)
md += 4;
else if (square[2, 0] == 4)
md += 5;
else if (square[2, 0] == 5)
md += 1;
else if (square[2, 0] == 6)
md += 2;
else if (square[2, 0] == 7)
md += 3;
else if (square[2, 0] == 8)
md += 4;
else if (square[2, 0] == 9)
md += 0;
else if (square[2, 0] == 10)
md += 1;
else if (square[2, 0] == 11)
md += 2;
else if (square[2, 0] == 12)
md += 3;
else if (square[2, 0] == 13)
md += 1;
else if (square[2, 0] == 14)
md += 2;
else if (square[2, 0] == 15)
md += 3;
if (square[2, 1] == 1)
md += 3;
else if (square[2, 1] == 2)
md += 2;
else if (square[2, 1] == 3)
md += 3;
else if (square[2, 1] == 4)
md += 4;
else if (square[2, 1] == 5)
md += 2;
else if (square[2, 1] == 6)
md += 1;
else if (square[2, 1] == 7)
md += 2;
else if (square[2, 1] == 8)
md += 3;
else if (square[2, 1] == 9)
md += 1;
else if (square[2, 1] == 10)
md += 0;
else if (square[2, 1] == 11)
md += 1;
else if (square[2, 1] == 12)
md += 2;
else if (square[2, 1] == 13)
md += 2;
else if (square[2, 1] == 14)
md += 1;
else if (square[2, 1] == 15)
md += 2;
if (square[2, 2] == 1)
md += 4;
else if (square[2, 2] == 2)
md += 3;
else if (square[2, 2] == 3)
md += 2;
else if (square[2, 2] == 4)
md += 3;
else if (square[2, 2] == 5)
md += 3;
else if (square[2, 2] == 6)
md += 2;
else if (square[2, 2] == 7)
md += 1;
else if (square[2, 2] == 8)
md += 2;
else if (square[2, 2] == 9)
md += 2;
else if (square[2, 2] == 10)
md += 1;
else if (square[2, 2] == 11)
md += 0;
else if (square[2, 2] == 12)
md += 1;
else if (square[2, 2] == 13)
md += 3;
else if (square[2, 2] == 14)
md += 2;
else if (square[2, 2] == 15)
md += 1;
if (square[2, 3] == 1)
md += 5;
else if (square[2, 3] == 2)
md += 4;
else if (square[2, 3] == 3)
md += 3;
else if (square[2, 3] == 4)
md += 2;
else if (square[2, 3] == 5)
md += 4;
else if (square[2, 3] == 6)
md += 3;
else if (square[2, 3] == 7)
md += 2;
else if (square[2, 3] == 8)
md += 1;
else if (square[2, 3] == 9)
md += 3;
else if (square[2, 3] == 10)
md += 2;
else if (square[2, 3] == 11)
md += 1;
else if (square[2, 3] == 12)
md += 0;
else if (square[2, 3] == 13)
md += 4;
else if (square[2, 3] == 14)
md += 3;
else if (square[2, 3] == 15)
md += 2;
// fourth row
if (square[3, 0] == 1)
md += 3;
else if (square[3, 0] == 2)
md += 4;
else if (square[3, 0] == 3)
md += 5;
else if (square[3, 0] == 4)
md += 6;
else if (square[3, 0] == 5)
md += 2;
else if (square[3, 0] == 6)
md += 3;
else if (square[3, 0] == 7)
md += 4;
else if (square[3, 0] == 8)
md += 5;
else if (square[3, 0] == 9)
md += 1;
else if (square[3, 0] == 10)
md += 2;
else if (square[3, 0] == 11)
md += 3;
else if (square[3, 0] == 12)
md += 4;
else if (square[3, 0] == 13)
md += 0;
else if (square[3, 0] == 14)
md += 1;
else if (square[3, 0] == 15)
md += 2;
if (square[3, 1] == 1)
md += 4;
else if (square[3, 1] == 2)
md += 3;
else if (square[3, 1] == 3)
md += 4;
else if (square[3, 1] == 4)
md += 5;
else if (square[3, 1] == 5)
md += 3;
else if (square[3, 1] == 6)
md += 2;
else if (square[3, 1] == 7)
md += 3;
else if (square[3, 1] == 8)
md += 4;
else if (square[3, 1] == 9)
md += 2;
else if (square[3, 1] == 10)
md += 1;
else if (square[3, 1] == 11)
md += 2;
else if (square[3, 1] == 12)
md += 3;
else if (square[3, 1] == 13)
md += 1;
else if (square[3, 1] == 14)
md += 0;
else if (square[3, 1] == 15)
md += 1;
if (square[3, 2] == 1)
md += 5;
else if (square[3, 2] == 2)
md += 4;
else if (square[3, 2] == 3)
md += 3;
else if (square[3, 2] == 4)
md += 4;
else if (square[3, 2] == 5)
md += 4;
else if (square[3, 2] == 6)
md += 3;
else if (square[3, 2] == 7)
md += 2;
else if (square[3, 2] == 8)
md += 3;
else if (square[3, 2] == 9)
md += 3;
else if (square[3, 2] == 10)
md += 2;
else if (square[3, 2] == 11)
md += 1;
else if (square[3, 2] == 12)
md += 2;
else if (square[3, 2] == 13)
md += 2;
else if (square[3, 2] == 14)
md += 1;
else if (square[3, 2] == 15)
md += 0;
if (square[3, 3] == 1)
md += 6;
else if (square[3, 3] == 2)
md += 5;
else if (square[3, 3] == 3)
md += 4;
else if (square[3, 3] == 4)
md += 3;
else if (square[3, 3] == 5)
md += 5;
else if (square[3, 3] == 6)
md += 4;
else if (square[3, 3] == 7)
md += 3;
else if (square[3, 3] == 8)
md += 2;
else if (square[3, 3] == 9)
md += 4;
else if (square[3, 3] == 10)
md += 3;
else if (square[3, 3] == 11)
md += 2;
else if (square[3, 3] == 12)
md += 1;
else if (square[3, 3] == 13)
md += 3;
else if (square[3, 3] == 14)
md += 2;
else if (square[3, 3] == 15)
md += 1;
return md;
}
}
}