private static void BuildGraph(List <string> maze, Dictionary <char, int> pos, Dictionary <char, Dictionary <char, StepsToPoint> > graph)
{
foreach (char source in pos.Keys)
{
if (source >= 'a' || source == '@')
{
foreach (char destination in pos.Keys)
{
if (destination != source && (destination >= 'a' || destination == '@') && (!graph.ContainsKey(source) || !graph[source].ContainsKey(destination)))
{
StepsToPoint best = ShortestPath(pos[source], pos[destination], maze);
if (best.steps != 0)
{
if (!graph.ContainsKey(source))
{
graph[source] = new Dictionary <char, StepsToPoint>();
}
if (!graph.ContainsKey(destination))
{
graph[destination] = new Dictionary <char, StepsToPoint>();
}
graph[source][destination] = best;
graph[destination][source] = best;
}
}
}
}
} //build graph
}
static int ShortestPath(int start, int destination, List <string> maze, Dictionary <int, int> warps, bool ignoreZ = true)
{
//search maze for best path
Queue <StepsToPoint> paths = new Queue <StepsToPoint>();
StepsToPoint point = new StepsToPoint {
x = start / 1000, y = start % 1000
};
paths.Enqueue(point);
HashSet <int> found = new HashSet <int> {
start
}; //z*1000000 + x*1000 + y
while (paths.Count > 0)
{
var path = paths.Dequeue();
for (int i = 0; i < 4; i++)
{
int nextX = path.x;
int nextY = path.y;
int nextZ = path.z;
switch (i)
{
case 0: //up
nextY--;
break;
case 1: //down
nextY++;
break;
case 2: //left
nextX--;
break;
case 3: //right
nextX++;
break;
}
//if next is a warp, replace it with its warp endpoint
int nextIntXY = nextX * 1000 + nextY;
if (warps.ContainsKey(nextIntXY) && (ignoreZ || nextZ != 0 || IsInnerWarp(nextX, nextY, maze))) //for part 2 (ignoreZ==false), only use warp if it is an inner warp point or z != 0
{
if (!ignoreZ)
{
nextZ += IsInnerWarp(nextX, nextY, maze) ? 1 : -1;
}
nextIntXY = warps[nextIntXY];
nextX = nextIntXY / 1000;
nextY = nextIntXY % 1000;
}
bool canMove = (nextY >= 0 && nextY < maze.Count && nextX >= 0 && nextX < maze[nextY].Length);
if (canMove && maze[nextY][nextX] == '.' && !found.Contains(nextZ * 1000000 + nextX * 1000 + nextY))
{
StepsToPoint next = new StepsToPoint
{
steps = path.steps + 1,
x = nextX,
y = nextY,
z = nextZ
};
if ((next.x * 1000 + next.y) == destination && next.z == 0)
{
return(next.steps);
}
found.Add(nextZ * 1000000 + nextX * 1000 + nextY);
paths.Enqueue(next);
}
}
} //while
return(0);
}
static StepsToPoint ShortestPath(int start, int destination, List <string> maze)
{
//search maze for best path
Queue <StepsToPoint> paths = new Queue <StepsToPoint>();
StepsToPoint point = new StepsToPoint {
x = start / 100, y = start % 100
};
if (maze[point.y][point.x] != '#')
{
paths.Enqueue(point);
}
else
{
//if the starting point is a wall, enqueue the the 4 '@' in part 2:
paths.Enqueue(new StepsToPoint()
{
x = point.x - 1, y = point.y - 1
});
paths.Enqueue(new StepsToPoint()
{
x = point.x + 1, y = point.y - 1
});
paths.Enqueue(new StepsToPoint()
{
x = point.x - 1, y = point.y + 1
});
paths.Enqueue(new StepsToPoint()
{
x = point.x + 1, y = point.y + 1
});
}
HashSet <int> found = new HashSet <int> {
start
};
while (paths.Count > 0)
{
var path = paths.Dequeue();
for (int i = 0; i < 4; i++)
{
int nextX = path.x;
int nextY = path.y;
switch (i)
{
case 0: //up
nextY--;
break;
case 1: //down
nextY++;
break;
case 2: //left
nextX--;
break;
case 3: //right
nextX++;
break;
}
bool canMove = (nextY >= 0 && nextY < maze.Count && nextX >= 0 && nextX < maze[nextY].Length);
if (canMove && maze[nextY][nextX] != '#' && (!found.Contains(nextX * 100 + nextY) || (maze[path.y][path.x] - 'a' >= 0)))
{
StepsToPoint next = new StepsToPoint();
next.steps = path.steps + 1;
next.x = nextX;
next.y = nextY;
next.doors = path.doors;
if ((next.x * 100 + next.y) == destination)
{
return(next);
}
found.Add(nextX * 100 + nextY);
if (maze[nextY][nextX] >= 'A' && maze[nextY][nextX] <= 'Z')
{
next.doors += 1 << (maze[nextY][nextX] - 'A');
}
paths.Enqueue(next);
}
}
} //while
return(new StepsToPoint());
}
