648 lines
16 KiB
Python
648 lines
16 KiB
Python
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# Source: https://github.com/python/pyperformance
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# License: MIT
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# Solver of Hexiom board game.
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# Benchmark from Laurent Vaucher.
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# Source: https://github.com/slowfrog/hexiom : hexiom2.py, level36.txt
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# (Main function tweaked by Armin Rigo.)
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##################################
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class Dir(object):
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def __init__(self, x, y):
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self.x = x
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self.y = y
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DIRS = [Dir(1, 0),
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Dir(-1, 0),
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Dir(0, 1),
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Dir(0, -1),
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Dir(1, 1),
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Dir(-1, -1)]
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EMPTY = 7
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##################################
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class Done(object):
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MIN_CHOICE_STRATEGY = 0
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MAX_CHOICE_STRATEGY = 1
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HIGHEST_VALUE_STRATEGY = 2
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FIRST_STRATEGY = 3
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MAX_NEIGHBORS_STRATEGY = 4
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MIN_NEIGHBORS_STRATEGY = 5
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def __init__(self, count, empty=False):
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self.count = count
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self.cells = None if empty else [
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[0, 1, 2, 3, 4, 5, 6, EMPTY] for i in range(count)]
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def clone(self):
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ret = Done(self.count, True)
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ret.cells = [self.cells[i][:] for i in range(self.count)]
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return ret
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def __getitem__(self, i):
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return self.cells[i]
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def set_done(self, i, v):
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self.cells[i] = [v]
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def already_done(self, i):
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return len(self.cells[i]) == 1
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def remove(self, i, v):
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if v in self.cells[i]:
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self.cells[i].remove(v)
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return True
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else:
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return False
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def remove_all(self, v):
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for i in range(self.count):
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self.remove(i, v)
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def remove_unfixed(self, v):
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changed = False
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for i in range(self.count):
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if not self.already_done(i):
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if self.remove(i, v):
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changed = True
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return changed
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def filter_tiles(self, tiles):
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for v in range(8):
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if tiles[v] == 0:
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self.remove_all(v)
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def next_cell_min_choice(self):
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minlen = 10
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mini = -1
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for i in range(self.count):
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if 1 < len(self.cells[i]) < minlen:
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minlen = len(self.cells[i])
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mini = i
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return mini
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def next_cell_max_choice(self):
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maxlen = 1
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maxi = -1
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for i in range(self.count):
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if maxlen < len(self.cells[i]):
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maxlen = len(self.cells[i])
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maxi = i
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return maxi
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def next_cell_highest_value(self):
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maxval = -1
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maxi = -1
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for i in range(self.count):
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if (not self.already_done(i)):
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maxvali = max(k for k in self.cells[i] if k != EMPTY)
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if maxval < maxvali:
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maxval = maxvali
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maxi = i
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return maxi
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def next_cell_first(self):
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for i in range(self.count):
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if (not self.already_done(i)):
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return i
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return -1
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def next_cell_max_neighbors(self, pos):
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maxn = -1
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maxi = -1
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for i in range(self.count):
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if not self.already_done(i):
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cells_around = pos.hex.get_by_id(i).links
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n = sum(1 if (self.already_done(nid) and (self[nid][0] != EMPTY)) else 0
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for nid in cells_around)
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if n > maxn:
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maxn = n
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maxi = i
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return maxi
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def next_cell_min_neighbors(self, pos):
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minn = 7
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mini = -1
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for i in range(self.count):
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if not self.already_done(i):
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cells_around = pos.hex.get_by_id(i).links
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n = sum(1 if (self.already_done(nid) and (self[nid][0] != EMPTY)) else 0
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for nid in cells_around)
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if n < minn:
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minn = n
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mini = i
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return mini
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def next_cell(self, pos, strategy=HIGHEST_VALUE_STRATEGY):
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if strategy == Done.HIGHEST_VALUE_STRATEGY:
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return self.next_cell_highest_value()
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elif strategy == Done.MIN_CHOICE_STRATEGY:
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return self.next_cell_min_choice()
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elif strategy == Done.MAX_CHOICE_STRATEGY:
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return self.next_cell_max_choice()
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elif strategy == Done.FIRST_STRATEGY:
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return self.next_cell_first()
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elif strategy == Done.MAX_NEIGHBORS_STRATEGY:
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return self.next_cell_max_neighbors(pos)
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elif strategy == Done.MIN_NEIGHBORS_STRATEGY:
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return self.next_cell_min_neighbors(pos)
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else:
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raise Exception("Wrong strategy: %d" % strategy)
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##################################
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class Node(object):
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def __init__(self, pos, id, links):
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self.pos = pos
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self.id = id
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self.links = links
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##################################
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class Hex(object):
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def __init__(self, size):
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self.size = size
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self.count = 3 * size * (size - 1) + 1
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self.nodes_by_id = self.count * [None]
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self.nodes_by_pos = {}
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id = 0
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for y in range(size):
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for x in range(size + y):
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pos = (x, y)
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node = Node(pos, id, [])
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self.nodes_by_pos[pos] = node
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self.nodes_by_id[node.id] = node
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id += 1
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for y in range(1, size):
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for x in range(y, size * 2 - 1):
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ry = size + y - 1
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pos = (x, ry)
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node = Node(pos, id, [])
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self.nodes_by_pos[pos] = node
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self.nodes_by_id[node.id] = node
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id += 1
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def link_nodes(self):
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for node in self.nodes_by_id:
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(x, y) = node.pos
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for dir in DIRS:
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nx = x + dir.x
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ny = y + dir.y
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if self.contains_pos((nx, ny)):
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node.links.append(self.nodes_by_pos[(nx, ny)].id)
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def contains_pos(self, pos):
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return pos in self.nodes_by_pos
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def get_by_pos(self, pos):
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return self.nodes_by_pos[pos]
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def get_by_id(self, id):
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return self.nodes_by_id[id]
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##################################
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class Pos(object):
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def __init__(self, hex, tiles, done=None):
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self.hex = hex
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self.tiles = tiles
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self.done = Done(hex.count) if done is None else done
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def clone(self):
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return Pos(self.hex, self.tiles, self.done.clone())
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##################################
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def constraint_pass(pos, last_move=None):
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changed = False
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left = pos.tiles[:]
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done = pos.done
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# Remove impossible values from free cells
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free_cells = (range(done.count) if last_move is None
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else pos.hex.get_by_id(last_move).links)
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for i in free_cells:
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if not done.already_done(i):
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vmax = 0
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vmin = 0
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cells_around = pos.hex.get_by_id(i).links
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for nid in cells_around:
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if done.already_done(nid):
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if done[nid][0] != EMPTY:
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vmin += 1
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vmax += 1
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else:
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vmax += 1
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for num in range(7):
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if (num < vmin) or (num > vmax):
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if done.remove(i, num):
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changed = True
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# Computes how many of each value is still free
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for cell in done.cells:
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if len(cell) == 1:
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left[cell[0]] -= 1
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for v in range(8):
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# If there is none, remove the possibility from all tiles
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if (pos.tiles[v] > 0) and (left[v] == 0):
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if done.remove_unfixed(v):
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changed = True
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else:
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possible = sum((1 if v in cell else 0) for cell in done.cells)
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# If the number of possible cells for a value is exactly the number of available tiles
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# put a tile in each cell
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if pos.tiles[v] == possible:
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for i in range(done.count):
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cell = done.cells[i]
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if (not done.already_done(i)) and (v in cell):
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done.set_done(i, v)
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changed = True
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# Force empty or non-empty around filled cells
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filled_cells = (range(done.count) if last_move is None
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else [last_move])
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for i in filled_cells:
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if done.already_done(i):
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num = done[i][0]
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empties = 0
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filled = 0
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unknown = []
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cells_around = pos.hex.get_by_id(i).links
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for nid in cells_around:
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if done.already_done(nid):
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if done[nid][0] == EMPTY:
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empties += 1
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else:
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filled += 1
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else:
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unknown.append(nid)
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if len(unknown) > 0:
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if num == filled:
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for u in unknown:
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if EMPTY in done[u]:
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done.set_done(u, EMPTY)
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changed = True
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# else:
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# raise Exception("Houston, we've got a problem")
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elif num == filled + len(unknown):
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for u in unknown:
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if done.remove(u, EMPTY):
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changed = True
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return changed
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ASCENDING = 1
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DESCENDING = -1
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def find_moves(pos, strategy, order):
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done = pos.done
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cell_id = done.next_cell(pos, strategy)
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if cell_id < 0:
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return []
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if order == ASCENDING:
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return [(cell_id, v) for v in done[cell_id]]
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else:
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# Try higher values first and EMPTY last
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moves = list(reversed([(cell_id, v)
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for v in done[cell_id] if v != EMPTY]))
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if EMPTY in done[cell_id]:
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moves.append((cell_id, EMPTY))
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return moves
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def play_move(pos, move):
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(cell_id, i) = move
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pos.done.set_done(cell_id, i)
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def print_pos(pos, output):
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hex = pos.hex
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done = pos.done
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size = hex.size
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for y in range(size):
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print(" " * (size - y - 1), end="", file=output)
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for x in range(size + y):
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pos2 = (x, y)
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id = hex.get_by_pos(pos2).id
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if done.already_done(id):
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c = done[id][0] if done[id][0] != EMPTY else "."
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else:
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c = "?"
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print("%s " % c, end="", file=output)
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print(end="\n", file=output)
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for y in range(1, size):
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print(" " * y, end="", file=output)
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for x in range(y, size * 2 - 1):
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ry = size + y - 1
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pos2 = (x, ry)
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id = hex.get_by_pos(pos2).id
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if done.already_done(id):
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c = done[id][0] if done[id][0] != EMPTY else "."
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else:
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c = "?"
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print("%s " % c, end="", file=output)
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print(end="\n", file=output)
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OPEN = 0
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SOLVED = 1
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IMPOSSIBLE = -1
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def solved(pos, output, verbose=False):
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hex = pos.hex
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tiles = pos.tiles[:]
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done = pos.done
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exact = True
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all_done = True
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for i in range(hex.count):
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if len(done[i]) == 0:
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return IMPOSSIBLE
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elif done.already_done(i):
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num = done[i][0]
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tiles[num] -= 1
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if (tiles[num] < 0):
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return IMPOSSIBLE
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vmax = 0
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vmin = 0
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if num != EMPTY:
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cells_around = hex.get_by_id(i).links
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for nid in cells_around:
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if done.already_done(nid):
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if done[nid][0] != EMPTY:
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vmin += 1
|
||
|
|
vmax += 1
|
||
|
|
else:
|
||
|
|
vmax += 1
|
||
|
|
|
||
|
|
if (num < vmin) or (num > vmax):
|
||
|
|
return IMPOSSIBLE
|
||
|
|
if num != vmin:
|
||
|
|
exact = False
|
||
|
|
else:
|
||
|
|
all_done = False
|
||
|
|
|
||
|
|
if (not all_done) or (not exact):
|
||
|
|
return OPEN
|
||
|
|
|
||
|
|
print_pos(pos, output)
|
||
|
|
return SOLVED
|
||
|
|
|
||
|
|
|
||
|
|
def solve_step(prev, strategy, order, output, first=False):
|
||
|
|
if first:
|
||
|
|
pos = prev.clone()
|
||
|
|
while constraint_pass(pos):
|
||
|
|
pass
|
||
|
|
else:
|
||
|
|
pos = prev
|
||
|
|
|
||
|
|
moves = find_moves(pos, strategy, order)
|
||
|
|
if len(moves) == 0:
|
||
|
|
return solved(pos, output)
|
||
|
|
else:
|
||
|
|
for move in moves:
|
||
|
|
# print("Trying (%d, %d)" % (move[0], move[1]))
|
||
|
|
ret = OPEN
|
||
|
|
new_pos = pos.clone()
|
||
|
|
play_move(new_pos, move)
|
||
|
|
# print_pos(new_pos)
|
||
|
|
while constraint_pass(new_pos, move[0]):
|
||
|
|
pass
|
||
|
|
cur_status = solved(new_pos, output)
|
||
|
|
if cur_status != OPEN:
|
||
|
|
ret = cur_status
|
||
|
|
else:
|
||
|
|
ret = solve_step(new_pos, strategy, order, output)
|
||
|
|
if ret == SOLVED:
|
||
|
|
return SOLVED
|
||
|
|
return IMPOSSIBLE
|
||
|
|
|
||
|
|
|
||
|
|
def check_valid(pos):
|
||
|
|
hex = pos.hex
|
||
|
|
tiles = pos.tiles
|
||
|
|
# fill missing entries in tiles
|
||
|
|
tot = 0
|
||
|
|
for i in range(8):
|
||
|
|
if tiles[i] > 0:
|
||
|
|
tot += tiles[i]
|
||
|
|
else:
|
||
|
|
tiles[i] = 0
|
||
|
|
# check total
|
||
|
|
if tot != hex.count:
|
||
|
|
raise Exception(
|
||
|
|
"Invalid input. Expected %d tiles, got %d." % (hex.count, tot))
|
||
|
|
|
||
|
|
|
||
|
|
def solve(pos, strategy, order, output):
|
||
|
|
check_valid(pos)
|
||
|
|
return solve_step(pos, strategy, order, output, first=True)
|
||
|
|
|
||
|
|
|
||
|
|
# TODO Write an 'iterator' to go over all x,y positions
|
||
|
|
|
||
|
|
def read_file(file):
|
||
|
|
lines = [line.strip("\r\n") for line in file.splitlines()]
|
||
|
|
size = int(lines[0])
|
||
|
|
hex = Hex(size)
|
||
|
|
linei = 1
|
||
|
|
tiles = 8 * [0]
|
||
|
|
done = Done(hex.count)
|
||
|
|
for y in range(size):
|
||
|
|
line = lines[linei][size - y - 1:]
|
||
|
|
p = 0
|
||
|
|
for x in range(size + y):
|
||
|
|
tile = line[p:p + 2]
|
||
|
|
p += 2
|
||
|
|
if tile[1] == ".":
|
||
|
|
inctile = EMPTY
|
||
|
|
else:
|
||
|
|
inctile = int(tile)
|
||
|
|
tiles[inctile] += 1
|
||
|
|
# Look for locked tiles
|
||
|
|
if tile[0] == "+":
|
||
|
|
# print("Adding locked tile: %d at pos %d, %d, id=%d" %
|
||
|
|
# (inctile, x, y, hex.get_by_pos((x, y)).id))
|
||
|
|
done.set_done(hex.get_by_pos((x, y)).id, inctile)
|
||
|
|
|
||
|
|
linei += 1
|
||
|
|
for y in range(1, size):
|
||
|
|
ry = size - 1 + y
|
||
|
|
line = lines[linei][y:]
|
||
|
|
p = 0
|
||
|
|
for x in range(y, size * 2 - 1):
|
||
|
|
tile = line[p:p + 2]
|
||
|
|
p += 2
|
||
|
|
if tile[1] == ".":
|
||
|
|
inctile = EMPTY
|
||
|
|
else:
|
||
|
|
inctile = int(tile)
|
||
|
|
tiles[inctile] += 1
|
||
|
|
# Look for locked tiles
|
||
|
|
if tile[0] == "+":
|
||
|
|
# print("Adding locked tile: %d at pos %d, %d, id=%d" %
|
||
|
|
# (inctile, x, ry, hex.get_by_pos((x, ry)).id))
|
||
|
|
done.set_done(hex.get_by_pos((x, ry)).id, inctile)
|
||
|
|
linei += 1
|
||
|
|
hex.link_nodes()
|
||
|
|
done.filter_tiles(tiles)
|
||
|
|
return Pos(hex, tiles, done)
|
||
|
|
|
||
|
|
|
||
|
|
def solve_file(file, strategy, order, output):
|
||
|
|
pos = read_file(file)
|
||
|
|
solve(pos, strategy, order, output)
|
||
|
|
|
||
|
|
|
||
|
|
LEVELS = {}
|
||
|
|
|
||
|
|
LEVELS[2] = ("""
|
||
|
|
2
|
||
|
|
. 1
|
||
|
|
. 1 1
|
||
|
|
1 .
|
||
|
|
""", """\
|
||
|
|
1 1
|
||
|
|
. . .
|
||
|
|
1 1
|
||
|
|
""")
|
||
|
|
|
||
|
|
LEVELS[10] = ("""
|
||
|
|
3
|
||
|
|
+.+. .
|
||
|
|
+. 0 . 2
|
||
|
|
. 1+2 1 .
|
||
|
|
2 . 0+.
|
||
|
|
.+.+.
|
||
|
|
""", """\
|
||
|
|
. . 1
|
||
|
|
. 1 . 2
|
||
|
|
0 . 2 2 .
|
||
|
|
. . . .
|
||
|
|
0 . .
|
||
|
|
""")
|
||
|
|
|
||
|
|
LEVELS[20] = ("""
|
||
|
|
3
|
||
|
|
. 5 4
|
||
|
|
. 2+.+1
|
||
|
|
. 3+2 3 .
|
||
|
|
+2+. 5 .
|
||
|
|
. 3 .
|
||
|
|
""", """\
|
||
|
|
3 3 2
|
||
|
|
4 5 . 1
|
||
|
|
3 5 2 . .
|
||
|
|
2 . . .
|
||
|
|
. . .
|
||
|
|
""")
|
||
|
|
|
||
|
|
LEVELS[25] = ("""
|
||
|
|
3
|
||
|
|
4 . .
|
||
|
|
. . 2 .
|
||
|
|
4 3 2 . 4
|
||
|
|
2 2 3 .
|
||
|
|
4 2 4
|
||
|
|
""", """\
|
||
|
|
3 4 2
|
||
|
|
2 4 4 .
|
||
|
|
. . . 4 2
|
||
|
|
. 2 4 3
|
||
|
|
. 2 .
|
||
|
|
""")
|
||
|
|
|
||
|
|
LEVELS[30] = ("""
|
||
|
|
4
|
||
|
|
5 5 . .
|
||
|
|
3 . 2+2 6
|
||
|
|
3 . 2 . 5 .
|
||
|
|
. 3 3+4 4 . 3
|
||
|
|
4 5 4 . 5 4
|
||
|
|
5+2 . . 3
|
||
|
|
4 . . .
|
||
|
|
""", """\
|
||
|
|
3 4 3 .
|
||
|
|
4 6 5 2 .
|
||
|
|
2 5 5 . . 2
|
||
|
|
. . 5 4 . 4 3
|
||
|
|
. 3 5 4 5 4
|
||
|
|
. 2 . 3 3
|
||
|
|
. . . .
|
||
|
|
""")
|
||
|
|
|
||
|
|
LEVELS[36] = ("""
|
||
|
|
4
|
||
|
|
2 1 1 2
|
||
|
|
3 3 3 . .
|
||
|
|
2 3 3 . 4 .
|
||
|
|
. 2 . 2 4 3 2
|
||
|
|
2 2 . . . 2
|
||
|
|
4 3 4 . .
|
||
|
|
3 2 3 3
|
||
|
|
""", """\
|
||
|
|
3 4 3 2
|
||
|
|
3 4 4 . 3
|
||
|
|
2 . . 3 4 3
|
||
|
|
2 . 1 . 3 . 2
|
||
|
|
3 3 . 2 . 2
|
||
|
|
3 . 2 . 2
|
||
|
|
2 2 . 1
|
||
|
|
""")
|
||
|
|
|
||
|
|
|
||
|
|
###########################################################################
|
||
|
|
# Benchmark interface
|
||
|
|
|
||
|
|
bm_params = {
|
||
|
|
(100, 100): (1, 10, DESCENDING, Done.FIRST_STRATEGY),
|
||
|
|
(1000, 1000): (1, 25, DESCENDING, Done.FIRST_STRATEGY),
|
||
|
|
(5000, 1000): (10, 25, DESCENDING, Done.FIRST_STRATEGY),
|
||
|
|
}
|
||
|
|
|
||
|
|
def bm_setup(params):
|
||
|
|
try:
|
||
|
|
import uio as io
|
||
|
|
except ImportError:
|
||
|
|
import io
|
||
|
|
|
||
|
|
loops, level, order, strategy = params
|
||
|
|
|
||
|
|
board, solution = LEVELS[level]
|
||
|
|
board = board.strip()
|
||
|
|
expected = solution.rstrip()
|
||
|
|
output = None
|
||
|
|
|
||
|
|
def run():
|
||
|
|
nonlocal output
|
||
|
|
for _ in range(loops):
|
||
|
|
stream = io.StringIO()
|
||
|
|
solve_file(board, strategy, order, stream)
|
||
|
|
output = stream.getvalue()
|
||
|
|
stream = None
|
||
|
|
|
||
|
|
def result():
|
||
|
|
norm = params[0] * params[1]
|
||
|
|
out = '\n'.join(line.rstrip() for line in output.splitlines())
|
||
|
|
return norm, ((out == expected), out)
|
||
|
|
|
||
|
|
return run, result
|