結果

問題 No.2361 Many String Compare Queries
ユーザー vwxyzvwxyz
提出日時 2023-11-03 21:57:43
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 8,784 bytes
コンパイル時間 260 ms
コンパイル使用メモリ 12,996 KB
実行使用メモリ 67,548 KB
最終ジャッジ日時 2023-11-03 21:57:59
合計ジャッジ時間 5,033 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
このコードへのチャレンジ
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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 32 ms
11,032 KB
testcase_01 AC 32 ms
11,032 KB
testcase_02 AC 31 ms
11,032 KB
testcase_03 AC 31 ms
11,032 KB
testcase_04 AC 31 ms
11,032 KB
testcase_05 AC 31 ms
11,032 KB
testcase_06 AC 31 ms
11,032 KB
testcase_07 AC 35 ms
11,032 KB
testcase_08 TLE -
testcase_09 -- -
testcase_10 -- -
testcase_11 -- -
testcase_12 -- -
testcase_13 -- -
testcase_14 -- -
testcase_15 -- -
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ソースコード

diff # 

import sys
readline=sys.stdin.readline

def SA_IS(lst,compressed=False):
    N=len(lst)
    if not compressed:
        decomp=sorted(list(set(lst)))
        comp={x:i for i,x in enumerate(decomp)}
        lst=[comp[s]+1 for s in lst]+[0]
    else:
        lst=[s+1 for s in lst]+[0]

    def induced_sort(N,lst,type,LMS,bucket_count,sorted_LMS_index=None):
        buckets_left=[[] for b in range(bucket_count)]
        buckets_right=[[] for b in range(bucket_count)]
        if sorted_LMS_index==None:
            for i in LMS:
                buckets_right[lst[i]].append(i)
        else:
            for i in sorted_LMS_index[::-1]:
                buckets_right[lst[LMS[i]]].append(LMS[i])
        for b in range(bucket_count):
            for i in buckets_left[b]:
                if i and type[i-1]=="L":
                    buckets_left[lst[i-1]].append(i-1)
            for i in buckets_right[b][::-1]:
                if i and type[i-1]=="L":
                    buckets_left[lst[i-1]].append(i-1)
            buckets_right[b]=[]
        for b in range(bucket_count-1,-1,-1):
            for i in buckets_right[b]:
                if i and type[i-1]=="S":
                    buckets_right[lst[i-1]].append(i-1)
            for i in buckets_left[b][::-1]:
                if i and type[i-1]=="S":
                    buckets_right[lst[i-1]].append(i-1)
        suffix_array=[N]
        for b in range(1,bucket_count):
            suffix_array+=buckets_left[b]+buckets_right[b][::-1]
        return suffix_array
    
    stack=[]
    while N>=1:
        type=[None]*(N+1)
        type[N]="S"
        for i in range(N-1,-1,-1):
            if lst[i]<lst[i+1]:
                type[i]="S"
            elif lst[i]>lst[i+1]:
                type[i]="L"
            else:
                type[i]=type[i+1]
        LMS=[i for i in range(1,N) if type[i-1]=="L" and type[i]=="S"]+[N]
        bucket_count=max(lst)+1
        stack.append((N,lst,type,LMS,bucket_count))
        suffix_array=induced_sort(N,lst,type,LMS,bucket_count)
        LMS_substring=[None]*(N+1)
        for i in range(len(LMS)-1):
            LMS_substring[LMS[i]]=lst[LMS[i]:LMS[i+1]]
        LMS_substring[N]=lst[N:N+1]
        num=0
        prev=[0]
        for i in suffix_array:
            if LMS_substring[i]!=None:
                if prev!=LMS_substring[i]:
                    prev=LMS_substring[i]
                    num+=1
                LMS_substring[i]=num
        lst=[LMS_substring[i] for i in LMS]
        N=len(lst)-1
    sorted_LMS_index=[0]
    for N,lst,type,LMS,bucket_count in stack[::-1]:
        suffix_array=induced_sort(N,lst,type,LMS,bucket_count,sorted_LMS_index)
        sorted_LMS_index=suffix_array
    suffix_array=suffix_array[1:]
    return suffix_array

def LCP(lst,suffix_array):
    N=len(lst)
    idx=[None]*N
    for i in range(N):
        idx[suffix_array[i]]=i
    lcp=[None]*(N-1)
    r=0
    for l in range(N):
        if idx[l]==N-1:
            continue
        ll=suffix_array[idx[l]+1]
        while r<l or r<N and ll+r-l<N and lst[r]==lst[ll+r-l]:
            r+=1
        lcp[idx[l]]=r-l
    return lcp

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:]))+"]"

N,Q=map(int,readline().split())
S=readline().rstrip()
inf=1<<30
SA=SA_IS(S)
lcp=LCP(S,SA)
ST_min=Segment_Tree(N-1,min,inf,lcp)
ST_sum=Segment_Tree(N,lambda x,y:x+y,0,[N-i for i in SA])
idx=[None]*N
for i in range(N):
    idx[SA[i]]=i
dp=[None]*N
dp[N-1]=0
for i in range(N-2,-1,-1):
    r=ST_min.Bisect_Right(i,lambda le:le>=lcp[i])
    dp[i]=dp[r]+(r-i)*lcp[i]
for q in range(Q):
    L,R=map(int,readline().split())
    L-=1
    i=idx[L]
    l=ST_min.Bisect_Left(i,lambda le:le>=R-L)
    r=ST_min.Bisect_Right(i,lambda le:le>=R-L)+1
    ans=ST_sum.Fold(0,l)+(i-l)*(R-L-1)+R-L-1+(r-i-1)*(R-L-1)+dp[r-1]
    print(ans)
0