結果
| 問題 | No.2604 Initial Motion |
| ユーザー |
 mkawa2
|
| 提出日時 | 2024-01-12 23:42:06 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 5,662 bytes |
| コンパイル時間 | 146 ms |
| コンパイル使用メモリ | 82,404 KB |
| 実行使用メモリ | 443,664 KB |
| 最終ジャッジ日時 | 2024-09-28 00:24:44 |
| 合計ジャッジ時間 | 16,325 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge3 |
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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 | 60 ms
76,732 KB |
| testcase_01 | AC | 64 ms
69,948 KB |
| testcase_02 | AC | 89 ms
78,612 KB |
| testcase_03 | AC | 1,117 ms
98,480 KB |
| testcase_04 | AC | 1,100 ms
98,152 KB |
| testcase_05 | AC | 1,009 ms
98,312 KB |
| testcase_06 | AC | 1,077 ms
98,604 KB |
| testcase_07 | AC | 1,094 ms
99,324 KB |
| testcase_08 | AC | 1,100 ms
98,996 KB |
| testcase_09 | AC | 1,328 ms
97,708 KB |
| testcase_10 | AC | 1,059 ms
97,820 KB |
| testcase_11 | AC | 1,062 ms
98,504 KB |
| testcase_12 | AC | 1,149 ms
99,088 KB |
| testcase_13 | TLE | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
ソースコード
import sys
# sys.setrecursionlimit(1000005)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()
dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
# inf = -1-(-1 << 31)
inf = -1-(-1 << 62)
# md = 10**9+7
md = 998244353
from typing import NamedTuple, Optional, List, Tuple, cast
from heapq import heappush, heappop
class MCFGraph:
class Edge(NamedTuple):
src: int
dst: int
cap: int
flow: int
cost: int
class _Edge:
def __init__(self, dst: int, cap: int, cost: int) -> None:
self.dst = dst
self.cap = cap
self.cost = cost
self.rev: Optional[MCFGraph._Edge] = None
def __init__(self, n: int) -> None:
self._n = n
self._g: List[List[MCFGraph._Edge]] = [[] for _ in range(n)]
self._edges: List[MCFGraph._Edge] = []
def add_edge(self, src: int, dst: int, cap: int, cost: int) -> int:
assert 0 <= src < self._n
assert 0 <= dst < self._n
assert 0 <= cap
m = len(self._edges)
e = MCFGraph._Edge(dst, cap, cost)
re = MCFGraph._Edge(src, 0, -cost)
e.rev = re
re.rev = e
self._g[src].append(e)
self._g[dst].append(re)
self._edges.append(e)
return m
def get_edge(self, i: int) -> Edge:
assert 0 <= i < len(self._edges)
e = self._edges[i]
re = cast(MCFGraph._Edge, e.rev)
return MCFGraph.Edge(
re.dst,
e.dst,
e.cap+re.cap,
re.cap,
e.cost
)
def edges(self) -> List[Edge]:
return [self.get_edge(i) for i in range(len(self._edges))]
def flow(self, s: int, t: int,
flow_limit: Optional[int] = None) -> Tuple[int, int]:
return self.slope(s, t, flow_limit)[-1]
def slope(self, s: int, t: int,
flow_limit: Optional[int] = None) -> List[Tuple[int, int]]:
assert 0 <= s < self._n
assert 0 <= t < self._n
assert s != t
if flow_limit is None:
flow_limit = cast(int, sum(e.cap for e in self._g[s]))
dual = [0]*self._n
prev: List[Optional[Tuple[int, MCFGraph._Edge]]] = [None]*self._n
def refine_dual() -> bool:
pq = [(0, s)]
visited = [False]*self._n
dist: List[Optional[int]] = [None]*self._n
dist[s] = 0
while pq:
dist_v, v = heappop(pq)
if visited[v]:
continue
visited[v] = True
if v == t:
break
dual_v = dual[v]
for e in self._g[v]:
w = e.dst
if visited[w] or e.cap == 0:
continue
reduced_cost = e.cost-dual[w]+dual_v
new_dist = dist_v+reduced_cost
dist_w = dist[w]
if dist_w is None or new_dist < dist_w:
dist[w] = new_dist
prev[w] = v, e
heappush(pq, (new_dist, w))
else:
return False
dist_t = dist[t]
for v in range(self._n):
if visited[v]:
dual[v] -= cast(int, dist_t)-cast(int, dist[v])
return True
flow = 0
cost = 0
prev_cost_per_flow: Optional[int] = None
result = [(flow, cost)]
while flow < flow_limit:
if not refine_dual():
break
f = flow_limit-flow
v = t
while prev[v] is not None:
u, e = cast(Tuple[int, MCFGraph._Edge], prev[v])
f = min(f, e.cap)
v = u
v = t
while prev[v] is not None:
u, e = cast(Tuple[int, MCFGraph._Edge], prev[v])
e.cap -= f
assert e.rev is not None
e.rev.cap += f
v = u
c = -dual[s]
flow += f
cost += f*c
if c == prev_cost_per_flow:
result.pop()
result.append((flow, cost))
prev_cost_per_flow = c
return result
from heapq import *
def dijkstra(to, root=0):
n = len(to)
dist = [inf]*n
dist[root] = 0
hp = [(0, root)]
while hp:
d, u = heappop(hp)
if d > dist[u]: continue
for v, c in to[u]:
nd = d+c
if dist[v] <= nd: continue
dist[v] = nd
heappush(hp, (nd, v))
return dist
k,n,m=LI()
aa=LI1()
bb=LI()
to=[[] for _ in range(n)]
for _ in range(m):
u,v,c=LI1()
c+=1
to[u].append((v,c))
to[v].append((u,c))
mf=MCFGraph(k+n+2)
s=k+n
t=s+1
for i,a in enumerate(aa):
mf.add_edge(s,i,1,0)
dist=dijkstra(to,a)
cnt=0
for u,d in sorted(enumerate(dist),key=lambda x:x[1]):
if bb[u]:mf.add_edge(i,u+k,1,dist[u])
cnt+=bb[u]
if cnt>=k:break
for u,b in enumerate(bb):
if b:mf.add_edge(u+k,t,b,0)
print(mf.flow(s,t)[1])