結果
| 問題 | No.878 Range High-Element Query |
| コンテスト | |
| ユーザー |
 vwxyz
|
| 提出日時 | 2023-08-04 06:00:34 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
AC
|
| 実行時間 | 452 ms / 2,000 ms |
| コード長 | 8,058 bytes |
| コンパイル時間 | 169 ms |
| コンパイル使用メモリ | 82,176 KB |
| 実行使用メモリ | 110,720 KB |
| 最終ジャッジ日時 | 2024-10-14 03:07:32 |
| 合計ジャッジ時間 | 6,745 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 18 |
ソースコード
import bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
heap.append(item)
heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
if heap and item < heap[0]:
item, heap[0] = heap[0], item
heapq._siftup_max(heap, 0)
return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
write=sys.stdout.write
class Segment_Tree:
def __init__(self,N,f,e,lst=None,dynamic=False):
self.f=f
self.e=e
self.N=N
if dynamic:
self.segment_tree=defaultdict(lambda:self.e)
else:
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 Path_Doubling:
def __init__(self,N,permutation,lst=None,f=None,e=None):
self.N=N
self.permutation=permutation
self.lst=lst
self.f=f
self.e=e
def Build_Next(self,K=None):
if K==None:
K=self.N
self.k=K.bit_length()
self.permutation_doubling=[[None]*self.N for k in range(self.k)]
for n in range(self.N):
self.permutation_doubling[0][n]=self.permutation[n]
if self.lst!=None:
self.doubling=[[None]*self.N for k in range(self.k)]
for n in range(self.N):
self.doubling[0][n]=self.lst[n]
for k in range(1,self.k):
for n in range(self.N):
if self.permutation_doubling[k-1][n]!=None:
self.permutation_doubling[k][n]=self.permutation_doubling[k-1][self.permutation_doubling[k-1][n]]
if self.f!=None:
self.doubling[k][n]=self.f(self.doubling[n][k-1],self.doubling[k-1][self.permutation_doubling[k-1][n]])
def Permutation_Doubling(self,N,K):
if K<0 or 1<<self.k<=K:
return None
for k in range(self.k):
if K>>k&1 and N!=None:
N=self.permutation_doubling[k][N]
return N
def Doubling(self,N,K):
if K<0:
return self.e
retu=self.e
for k in range(self.k):
if K>>k&1:
if self.permutation_doubling[k][N]==None:
return None
retu=self.f(retu,self.doubling[k][N])
N=self.permutation_doubling[k][N]
return N,retu
def Bisect(self,x,is_ok):
if not is_ok(x):
return -1,None
K=0
for k in range(self.k-1,-1,-1):
if is_ok(self.permutation_doubling[k][x]):
K|=1<<k
x=self.permutation_doubling[k][x]
return K,x
N,Q=map(int,readline().split())
A=list(map(int,readline().split()))
inf=1<<30
ST=Segment_Tree(N+1,max,-inf,A+[inf])
P=[N]*(N+1)
for i in range(N):
P[i]=ST.Bisect_Right(i,lambda x:x==A[i])
PD=Path_Doubling(N+1,permutation=P)
PD.Build_Next(N+1)
for q in range(Q):
_,l,r=map(int,readline().split())
l-=1
def is_ok(x):
return x<r
ans=PD.Bisect(l,is_ok)[0]+1
print(ans)