結果
問題 | No.1069 電柱 / Pole (Hard) |
ユーザー | vwxyz |
提出日時 | 2021-12-27 08:53:04 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,734 ms / 2,000 ms |
コード長 | 7,410 bytes |
コンパイル時間 | 433 ms |
コンパイル使用メモリ | 86,892 KB |
実行使用メモリ | 205,092 KB |
最終ジャッジ日時 | 2023-09-30 08:34:30 |
合計ジャッジ時間 | 19,907 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge12 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 82 ms
71,280 KB |
testcase_01 | AC | 82 ms
71,408 KB |
testcase_02 | AC | 83 ms
71,276 KB |
testcase_03 | AC | 81 ms
71,104 KB |
testcase_04 | AC | 1,734 ms
205,092 KB |
testcase_05 | AC | 1,256 ms
135,544 KB |
testcase_06 | AC | 215 ms
81,068 KB |
testcase_07 | AC | 226 ms
81,352 KB |
testcase_08 | AC | 232 ms
81,392 KB |
testcase_09 | AC | 234 ms
81,704 KB |
testcase_10 | AC | 210 ms
81,032 KB |
testcase_11 | AC | 128 ms
78,216 KB |
testcase_12 | AC | 155 ms
79,820 KB |
testcase_13 | AC | 310 ms
83,340 KB |
testcase_14 | AC | 248 ms
82,536 KB |
testcase_15 | AC | 199 ms
80,556 KB |
testcase_16 | AC | 176 ms
79,056 KB |
testcase_17 | AC | 168 ms
78,836 KB |
testcase_18 | AC | 219 ms
80,012 KB |
testcase_19 | AC | 225 ms
82,096 KB |
testcase_20 | AC | 157 ms
79,704 KB |
testcase_21 | AC | 285 ms
82,904 KB |
testcase_22 | AC | 185 ms
80,540 KB |
testcase_23 | AC | 390 ms
88,348 KB |
testcase_24 | AC | 205 ms
80,852 KB |
testcase_25 | AC | 193 ms
80,400 KB |
testcase_26 | AC | 189 ms
80,624 KB |
testcase_27 | AC | 188 ms
80,444 KB |
testcase_28 | AC | 188 ms
80,316 KB |
testcase_29 | AC | 143 ms
79,540 KB |
testcase_30 | AC | 121 ms
78,080 KB |
testcase_31 | AC | 82 ms
71,320 KB |
testcase_32 | AC | 82 ms
71,492 KB |
testcase_33 | AC | 81 ms
71,752 KB |
testcase_34 | AC | 81 ms
71,608 KB |
testcase_35 | AC | 81 ms
71,820 KB |
testcase_36 | AC | 83 ms
71,368 KB |
testcase_37 | AC | 170 ms
78,856 KB |
testcase_38 | AC | 161 ms
79,648 KB |
testcase_39 | AC | 95 ms
76,540 KB |
testcase_40 | AC | 149 ms
78,564 KB |
testcase_41 | AC | 177 ms
79,136 KB |
testcase_42 | AC | 187 ms
78,920 KB |
testcase_43 | AC | 185 ms
79,152 KB |
testcase_44 | AC | 214 ms
81,088 KB |
testcase_45 | AC | 229 ms
81,900 KB |
testcase_46 | AC | 258 ms
83,044 KB |
testcase_47 | AC | 264 ms
82,532 KB |
testcase_48 | AC | 209 ms
81,244 KB |
testcase_49 | AC | 226 ms
81,548 KB |
testcase_50 | AC | 150 ms
79,024 KB |
testcase_51 | AC | 242 ms
82,612 KB |
testcase_52 | AC | 148 ms
79,532 KB |
testcase_53 | AC | 227 ms
82,004 KB |
testcase_54 | AC | 80 ms
71,660 KB |
testcase_55 | AC | 91 ms
76,588 KB |
testcase_56 | AC | 79 ms
71,548 KB |
testcase_57 | AC | 95 ms
76,500 KB |
testcase_58 | AC | 80 ms
71,476 KB |
testcase_59 | AC | 117 ms
78,060 KB |
testcase_60 | AC | 82 ms
71,448 KB |
testcase_61 | AC | 92 ms
76,700 KB |
testcase_62 | AC | 81 ms
71,452 KB |
testcase_63 | AC | 81 ms
71,536 KB |
testcase_64 | AC | 106 ms
76,616 KB |
testcase_65 | AC | 81 ms
71,524 KB |
testcase_66 | AC | 82 ms
71,368 KB |
testcase_67 | AC | 80 ms
71,600 KB |
testcase_68 | AC | 82 ms
71,660 KB |
testcase_69 | AC | 187 ms
80,348 KB |
testcase_70 | AC | 195 ms
80,472 KB |
testcase_71 | AC | 158 ms
79,512 KB |
testcase_72 | AC | 144 ms
78,224 KB |
testcase_73 | AC | 174 ms
78,808 KB |
testcase_74 | AC | 219 ms
81,788 KB |
testcase_75 | AC | 199 ms
80,792 KB |
testcase_76 | AC | 245 ms
82,216 KB |
testcase_77 | AC | 265 ms
82,020 KB |
testcase_78 | AC | 139 ms
78,272 KB |
testcase_79 | AC | 283 ms
83,212 KB |
testcase_80 | AC | 249 ms
82,280 KB |
testcase_81 | AC | 251 ms
82,304 KB |
testcase_82 | AC | 221 ms
81,524 KB |
ソースコード
import heapq import math import sys readline=sys.stdin.readline class Graph: def __init__(self,V,edges=False,graph=False,directed=False,weighted=False,inf=float("inf")): self.V=V self.directed=directed self.weighted=weighted self.inf=inf if not graph: self.edges=edges self.graph=[[] for i in range(self.V)] if weighted: for i,j,d in self.edges: self.graph[i].append((j,d)) if not self.directed: self.graph[j].append((i,d)) else: for i,j in self.edges: self.graph[i].append(j) if not self.directed: self.graph[j].append(i) else: self.graph=graph self.edges=[] for i in range(self.V): if self.weighted: for j,d in self.graph[i]: if self.directed or not self.directed and i<=j: self.edges.append((i,j,d)) else: for j in self.graph[i]: if self.directed or not self.directed and i<=j: self.edges.append((i,j)) def Dijkstra(self,s,route_restoration=False): dist=[self.inf]*self.V dist[s]=0 hq=[(0,s)] if route_restoration: parents=[None]*self.V while hq: dx,x=heapq.heappop(hq) if dist[x]<dx: continue for y,dy in self.graph[x]: if dist[y]>dx+dy: dist[y]=dx+dy if route_restoration: parents[y]=x heapq.heappush(hq,(dist[y],y)) if route_restoration: return dist,parents else: return dist def Route_Restoration(self,s,g,parents,reverse=False): route=[g] while s!=g: if parents[g]==None: route=[] break g=parents[g] route.append(g) if not reverse: route=route[::-1] return route def K_Shortest_Path_Routing(self,s,t,K,edge_unicursal=False,point_unicursal=False): if point_unicursal: dist,parents=self.Dijkstra(s,route_restoration=True) route=tuple(self.Route_Restoration(s,t,parents)) queue=[(dist[t],route,[dist[x] for x in route])] set_queue=set() set_queue.add(route) retu=[] while queue and K: d,route,route_dist=heapq.heappop(queue) retu.append((d,route,route_dist)) K-=1 set_route=set() for i in range(len(route)-1): x=route[i] set_route.add(x) edges=[(v,u,d) for u,v,d in self.edges if not u in set_route and not v in set_route] G_rev=Graph(self.V,edges=edges,directed=self.directed,weighted=self.weighted,inf=self.inf) dist_rev,parents_rev=G_rev.Dijkstra(t,route_restoration=True) for y,d in self.graph[x]: if y==route[i+1]: continue if dist_rev[y]==self.inf: continue tpl=route[:i+1]+tuple(self.Route_Restoration(t,y,parents_rev,reverse=True)) if not tpl in set_queue: heapq.heappush(queue,(route_dist[i]+d+dist_rev[y],tpl,route_dist[:i+1]+[route_dist[i]+d+dist_rev[y]-dist_rev[z] for z in tpl[i+1:]])) set_queue.add(tpl) elif edge_unicursal: dist,parents=self.Dijkstra(s,route_restoration=True) route=tuple(self.Route_Restoration(s,t,parents)) queue=[(dist[t],route,[dist[x] for x in route])] set_queue=set() set_queue.add(route) retu=[] while queue and K: d,route,route_dist=heapq.heappop(queue) retu.append((d,route,route_dist)) K-=1 set_route=set() for i in range(len(route)-1): x=route[i] y=route[i+1] set_route.add((x,y,route_dist[i+1]-route_dist[i])) if not self.directed: set_route.add((y,x,route_dist[i+1]-route_dist[i])) edges=[(v,u,d) for u,v,d in self.edges if not (u,v,d) in set_route] G_rev=Graph(self.V,edges=edges,directed=self.directed,weighted=self.weighted,inf=self.inf) dist_rev,parents_rev=G_rev.Dijkstra(t,route_restoration=True) for y,d in self.graph[x]: if y==route[i+1]: continue if dist_rev[y]==self.inf: continue tpl=route[:i+1]+tuple(self.Route_Restoration(t,y,parents_rev,reverse=True)) if not tpl in set_queue: heapq.heappush(queue,(route_dist[i]+d+dist_rev[y],tpl,route_dist[:i+1]+[route_dist[i]+d+dist_rev[y]-dist_rev[z] for z in tpl[i+1:]])) set_queue.add(tpl) else: dist,parents=self.Dijkstra(s,route_restoration=True) if dist[t]==self.inf: return False route_lst=[tuple(self.Route_Restoration(s,x,parents)) for x in range(self.V)] edges_rev=[(j,i,d) for i,j,d in self.edges] G_rev=Graph(self.V,edges=edges_rev,weighted=self.weighted,directed=self.directed,inf=self.inf) dist_rev,parents_rev=G_rev.Dijkstra(t,route_restoration=True) route_rev_lst=[] for x in range(self.V): route_rev_lst.append(tuple(self.Route_Restoration(t,x,parents_rev,reverse=True))) route=route_lst[t] queue=[(dist[t],route,[dist[x] for x in route])] set_queue=set() set_queue.add(route) retu=[] while queue and K: d,route,route_dist=heapq.heappop(queue) retu.append((d,route,route_dist)) K-=1 for i in range(len(route)-1): x=route[i] for y,d in self.graph[x]: if y==route[i+1]: continue tpl=route[:i+1]+route_rev_lst[y] if not tpl in set_queue: heapq.heappush(queue,(route_dist[i]+d+dist_rev[y],tpl,route_dist[:i+1]+[route_dist[i]+d+dist_rev[y]-dist_rev[z] for z in route_rev_lst[y]])) set_queue.add(tpl) return retu N,M,K=map(int,readline().split()) S,T=map(int,readline().split()) S-=1;T-=1 X,Y=[],[] for _ in range(N): x,y=map(int,readline().split()) X.append(x) Y.append(y) edges=[] for _ in range(M): P,Q=map(int,readline().split()) P-=1;Q-=1 edges.append((P,Q,math.sqrt((X[P]-X[Q])**2+(Y[P]-Y[Q])**2))) G=Graph(N,edges=edges,weighted=True) ans_lst=[-1]*K for i,(d,route,dist) in enumerate(G.K_Shortest_Path_Routing(S,T,K,point_unicursal=True)): ans_lst[i]=d print(*ans_lst,sep="\n")