結果
| 問題 | No.778 クリスマスツリー |
| ユーザー |
 vwxyz
|
| 提出日時 | 2022-03-19 18:35:05 |
| 言語 | Python3 (3.12.2 + numpy 1.26.4 + scipy 1.12.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 11,295 bytes |
| コンパイル時間 | 266 ms |
| コンパイル使用メモリ | 13,952 KB |
| 実行使用メモリ | 81,812 KB |
| 最終ジャッジ日時 | 2024-04-15 08:10:34 |
| 合計ジャッジ時間 | 4,626 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
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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 | 35 ms
18,972 KB |
| testcase_01 | AC | 37 ms
11,904 KB |
| testcase_02 | AC | 37 ms
11,904 KB |
| testcase_03 | AC | 37 ms
11,904 KB |
| testcase_04 | AC | 37 ms
12,032 KB |
| testcase_05 | AC | 37 ms
11,904 KB |
| testcase_06 | TLE | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
ソースコード
import sys
readline=sys.stdin.readline
class Segment_Tree:
def __init__(self,N,f,e,lst=None):
self.f=f
self.e=e
self.N=N
if lst==None:
self.segment_tree=[self.e]*2*self.N
else:
assert len(lst)<=self.N
self.segment_tree=[self.e]*self.N+[x for x in lst]+[self.e]*(N-len(lst))
for i in range(self.N-1,0,-1):
self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
def __getitem__(self,i):
if type(i)==int:
if -self.N<=i<0:
return self.segment_tree[i+self.N*2]
elif 0<=i<self.N:
return self.segment_tree[i+self.N]
else:
raise IndexError('list index out of range')
else:
a,b,c=i.start,i.stop,i.step
if a==None:
a=self.N
else:
a+=self.N
if b==None:
b=self.N*2
else:
b+=self.N
return self.segment_tree[slice(a,b,c)]
def __setitem__(self,i,x):
if -self.N<=i<0:
i+=self.N*2
elif 0<=i<self.N:
i+=self.N
else:
raise IndexError('list index out of range')
self.segment_tree[i]=x
while i>1:
i>>= 1
self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
def Build(self,lst):
for i,x in enumerate(lst,self.N):
self.segment_tree[i]=x
for i in range(self.N-1,0,-1):
self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
def Fold(self,L=None,R=None):
if L==None:
L=self.N
else:
L+=self.N
if R==None:
R=self.N*2
else:
R+=self.N
vL=self.e
vR=self.e
while L<R:
if L&1:
vL=self.f(vL,self.segment_tree[L])
L+=1
if R&1:
R-=1
vR=self.f(self.segment_tree[R],vR)
L>>=1
R>>=1
return self.f(vL,vR)
def Fold_Index(self,L=None,R=None):
if L==None:
L=self.N
else:
L+=self.N
if R==None:
R=self.N*2
else:
R+=self.N
if L==R:
return None
x=self.Fold(L-self.N,R-self.N)
while L<R:
if L&1:
if self.segment_tree[L]==x:
i=L
break
L+=1
if R&1:
R-=1
if self.segment_tree[R]==x:
i=R
break
L>>=1
R>>=1
while i<self.N:
if self.segment_tree[i]==self.segment_tree[i<<1]:
i<<=1
else:
i<<=1
i|=1
i-=self.N
return i
def Bisect_Right(self,L=None,f=None):
if L==self.N:
return self.N
if L==None:
L=0
L+=self.N
vl=self.e
vr=self.e
l,r=L,self.N*2
while l<r:
if l&1:
vl=self.f(vl,self.segment_tree[l])
l+=1
if r&1:
r-=1
vr=self.f(self.segment_tree[r],vr)
l>>=1
r>>=1
if f(self.f(vl,vr)):
return self.N
v=self.e
while True:
while L%2==0:
L>>=1
vv=self.f(v,self.segment_tree[L])
if f(vv):
v=vv
L+=1
else:
while L<self.N:
L<<=1
vv=self.f(v,self.segment_tree[L])
if f(vv):
v=vv
L+=1
return L-self.N
def Bisect_Left(self,R=None,f=None):
if R==0:
return 0
if R==None:
R=self.N
R+=self.N
vl=self.e
vr=self.e
l,r=self.N,R
while l<r:
if l&1:
vl=self.f(vl,self.segment_tree[l])
l+=1
if r&1:
r-=1
vr=self.f(self.segment_tree[r],vr)
l>>=1
r>>=1
if f(self.f(vl,vr)):
return 0
v=self.e
while True:
R-=1
while R>1 and R%2:
R>>=1
vv=self.f(self.segment_tree[R],v)
if f(vv):
v=vv
else:
while R<self.N:
R=2*R+1
vv=self.f(self.segment_tree[R],v)
if f(vv):
v=vv
R-=1
return R+1-self.N
def __str__(self):
return '['+', '.join(map(str,self.segment_tree[self.N:]))+']'
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 graph:
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))
else:
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)
def SIV_DFS(self,s,bipartite_graph=False,cycle_detection=False,directed_acyclic=False,euler_tour=False,linked_components=False,lowlink=False,parents=False,postorder=False,preorder=False,subtree_size=False,topological_sort=False,unweighted_dist=False,weighted_dist=False):
seen=[False]*self.V
finished=[False]*self.V
if directed_acyclic or cycle_detection or topological_sort:
dag=True
if euler_tour:
et=[]
if linked_components:
lc=[]
if lowlink:
order=[None]*self.V
ll=[None]*self.V
idx=0
if parents or cycle_detection or lowlink or subtree_size:
ps=[None]*self.V
if postorder or topological_sort:
post=[]
if preorder:
pre=[]
if subtree_size:
ss=[1]*self.V
if unweighted_dist or bipartite_graph:
uwd=[self.inf]*self.V
uwd[s]=0
if weighted_dist:
wd=[self.inf]*self.V
wd[s]=0
stack=[(s,0)] if self.weighted else [s]
while stack:
if self.weighted:
x,d=stack.pop()
else:
x=stack.pop()
if not seen[x]:
seen[x]=True
stack.append((x,d) if self.weighted else x)
if euler_tour:
et.append(x)
if linked_components:
lc.append(x)
if lowlink:
order[x]=idx
ll[x]=idx
idx+=1
if preorder:
pre.append(x)
for y in self.graph[x]:
if self.weighted:
y,d=y
if not seen[y]:
stack.append((y,d) if self.weighted else y)
if parents or cycle_detection or lowlink or subtree_size:
ps[y]=x
if unweighted_dist or bipartite_graph:
uwd[y]=uwd[x]+1
if weighted_dist:
wd[y]=wd[x]+d
elif not finished[y]:
if (directed_acyclic or cycle_detection or topological_sort) and dag:
dag=False
if cycle_detection:
cd=(y,x)
elif not finished[x]:
finished[x]=True
if euler_tour:
et.append(~x)
if lowlink:
bl=True
for y in self.graph[x]:
if self.weighted:
y,d=y
if ps[x]==y and bl:
bl=False
continue
ll[x]=min(ll[x],order[y])
if x!=s:
ll[ps[x]]=min(ll[ps[x]],ll[x])
if postorder or topological_sort:
post.append(x)
if subtree_size:
for y in self.graph[x]:
if self.weighted:
y,d=y
if y==ps[x]:
continue
ss[x]+=ss[y]
if bipartite_graph:
bg=[[],[]]
for tpl in self.edges:
x,y=tpl[:2] if self.weighted else tpl
if uwd[x]==self.inf or uwd[y]==self.inf:
continue
if not uwd[x]%2^uwd[y]%2:
bg=False
break
else:
for x in range(self.V):
if uwd[x]==self.inf:
continue
bg[uwd[x]%2].append(x)
retu=()
if bipartite_graph:
retu+=(bg,)
if cycle_detection:
if dag:
cd=[]
else:
y,x=cd
cd=self.Route_Restoration(y,x,ps)
retu+=(cd,)
if directed_acyclic:
retu+=(dag,)
if euler_tour:
retu+=(et,)
if linked_components:
retu+=(lc,)
if lowlink:
retu=(ll,)
if parents:
retu+=(ps,)
if postorder:
retu+=(post,)
if preorder:
retu+=(pre,)
if subtree_size:
retu+=(ss,)
if topological_sort:
if dag:
tp_sort=post[::-1]
else:
tp_sort=[]
retu+=(tp_sort,)
if unweighted_dist:
retu+=(uwd,)
if weighted_dist:
retu+=(wd,)
if len(retu)==1:
retu=retu[0]
return retu
N=int(readline())
edges=[]
A=list(map(int,readline().split()))
for i in range(1,N):
edges.append((i,A[i-1]))
G=Graph(N,edges=edges)
tour=G.SIV_DFS(0,euler_tour=True)
ST=Segment_Tree(N,lambda x,y:x+y,0)
ans=0
for x in tour:
if x>=0:
ST[x]+=1
ans+=ST.Fold(0,x)
else:
ST[~x]-=1
print(ans)