#930406 (Python3) No.1095 Smallest Kadomatsu Subsequence

• 問題: No.1095 Smallest Kadomatsu Subsequence
• ユーザー: vwxyz
• 提出日時: 2023-11-23 01:31:10
• 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: 6,621 bytes
• コンパイル時間: 110 ms
• コンパイル使用メモリ: 13,440 KB
• 実行使用メモリ: 55,932 KB
• 最終ジャッジ日時: 2024-09-26 07:47:28
• 合計ジャッジ時間: 10,052 ms
• ジャッジサーバーID （参考情報）: judge4 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	47 ms; 17,920 KB
testcase_01	AC	45 ms; 12,416 KB
testcase_02	AC	47 ms; 12,416 KB
testcase_03	AC	47 ms; 12,544 KB
testcase_04	AC	48 ms; 12,416 KB
testcase_05	AC	48 ms; 12,416 KB
testcase_06	AC	50 ms; 12,288 KB
testcase_07	AC	49 ms; 12,544 KB
testcase_08	AC	47 ms; 12,288 KB
testcase_09	AC	47 ms; 12,544 KB
testcase_10	AC	47 ms; 12,416 KB
testcase_11	AC	48 ms; 12,416 KB
testcase_12	AC	47 ms; 12,416 KB
testcase_13	AC	437 ms; 13,980 KB
testcase_14	AC	436 ms; 14,112 KB
testcase_15	AC	431 ms; 13,984 KB
testcase_16	AC	437 ms; 14,108 KB
testcase_17	AC	435 ms; 13,952 KB
testcase_18	AC	435 ms; 13,964 KB
testcase_19	AC	434 ms; 14,112 KB
testcase_20	AC	434 ms; 13,984 KB
testcase_21	AC	440 ms; 13,988 KB
testcase_22	AC	439 ms; 13,980 KB
testcase_23	TLE	-
testcase_24	--	-
testcase_25	--	-
testcase_26	--	-
testcase_27	--	-
testcase_28	--	-
testcase_29	--	-
testcase_30	--	-
testcase_31	--	-
testcase_32	--	-

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
#import pypyjit
#pypyjit.set_param('max_unroll_recursion=-1')
#sys.set_int_max_str_digits(10**9)

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:]))+"]"

def Compress(lst):
    decomp=sorted(list(set(lst)))
    comp={x:i for i,x in enumerate(decomp)}
    return comp,decomp

N=int(readline())
A=list(map(int,readline().split()))
comp,decomp=Compress(A)
le=len(comp)
L=Segment_Tree(le,lambda x,y:x+y,0)
R=Segment_Tree(le,lambda x,y:x+y,0)
for a in A:
    R[comp[a]]+=1
inf=1<<60
ans=inf
for i in range(N):
    R[comp[A[i]]]-=1
    Ll=min(comp[A[i]],L.Bisect_Right(0,lambda x:x==0))
    Rl=min(comp[A[i]],R.Bisect_Right(0,lambda x:x==0))
    if not comp[A[i]] in (Ll,Rl):
        ans=min(ans,decomp[Ll]+A[i]+decomp[Rl])
    Lr=L.Bisect_Right(comp[A[i]]+1,lambda x:x==0)
    Rr=R.Bisect_Right(comp[A[i]]+1,lambda x:x==0)
    if not le in (Lr,Rr):
        ans=min(ans,decomp[Lr]+A[i]+decomp[Rr])
    L[comp[A[i]]]+=1
if ans==inf:
    ans=-1
print(ans)