|
| 1 | +""" |
| 2 | +In priority queue, we not only take `steps` in to consideration but also `distance` |
| 3 | +And the rest is just like dijkstra. |
| 4 | +""" |
| 5 | +import heapq |
| 6 | +class Solution(object): |
| 7 | + def openLock(self, deadends, target): |
| 8 | + def getNeighbor(node): |
| 9 | + opt = [] |
| 10 | + for i in xrange(len(node)): |
| 11 | + if node[i]==0: |
| 12 | + opt.append(tuple(node[:i]+(1,)+node[i+1:])) |
| 13 | + opt.append(tuple(node[:i]+(9,)+node[i+1:])) |
| 14 | + elif node[i]==9: |
| 15 | + opt.append(tuple(node[:i]+(0,)+node[i+1:])) |
| 16 | + opt.append(tuple(node[:i]+(8,)+node[i+1:])) |
| 17 | + else: |
| 18 | + opt.append(tuple(node[:i]+(node[i]+1,)+node[i+1:])) |
| 19 | + opt.append(tuple(node[:i]+(node[i]-1,)+node[i+1:])) |
| 20 | + return opt |
| 21 | + |
| 22 | + def getDistance(node): |
| 23 | + distance = 0 |
| 24 | + for i in xrange(len(node)): |
| 25 | + d = abs(int(node[i])-int(target[i])) |
| 26 | + d2 = abs(10-d) |
| 27 | + distance+=min(d, d2) |
| 28 | + return distance |
| 29 | + |
| 30 | + def tupify(node): |
| 31 | + return tuple(map(int, node)) |
| 32 | + |
| 33 | + target = tupify(target) |
| 34 | + visited = set([tupify(node) for node in deadends]) |
| 35 | + pq = [(0, 0, tupify('0000'))] |
| 36 | + |
| 37 | + while pq: |
| 38 | + _, steps, node = heapq.heappop(pq) |
| 39 | + if node==target: return steps |
| 40 | + if node in visited: continue |
| 41 | + visited.add(node) |
| 42 | + for nei in getNeighbor(node): |
| 43 | + heapq.heappush(pq, (steps+1+getDistance(nei), steps+1, nei)) |
| 44 | + return -1 |
| 45 | + |
| 46 | +class Solution: |
| 47 | + def openLock(self, deadends, target): |
| 48 | + def getNeighbor(node): |
| 49 | + opt = [] |
| 50 | + for i in xrange(len(node)): |
| 51 | + add_one = delta[node[i]][0] |
| 52 | + minus_one = delta[node[i]][1] |
| 53 | + opt.append(node[:i]+add_one+node[i+1:]) |
| 54 | + opt.append(node[:i]+minus_one+node[i + 1:]) |
| 55 | + return opt |
| 56 | + |
| 57 | + delta = {str(i): [str((i+1)%10), str((i-1)%10)] for i in xrange(10)} |
| 58 | + visited = set(deadends) |
| 59 | + q = collections.deque([('0000', 0)]) |
| 60 | + steps = 0 |
| 61 | + |
| 62 | + while q: |
| 63 | + node, steps = q.popleft() |
| 64 | + if node==target: return steps |
| 65 | + if node in visited: continue |
| 66 | + visited.add(node) |
| 67 | + for nei in getNeighbor(node): |
| 68 | + q.append((nei, steps+1)) |
| 69 | + |
| 70 | + return -1 |
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