結果

問題 No.2361 Many String Compare Queries
ユーザー とりゐ
提出日時 2023-01-14 18:10:36
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,424 ms / 2,500 ms
コード長 7,057 bytes
コンパイル時間 289 ms
コンパイル使用メモリ 82,728 KB
実行使用メモリ 175,364 KB
最終ジャッジ日時 2024-06-30 20:40:43
合計ジャッジ時間 10,466 ms
ジャッジサーバーID
(参考情報)
judge4 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 14
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

from sys import stdin
input=lambda :stdin.readline()[:-1]
class segtree():
def __init__(self,init,func,ide):
self.n=len(init)
self.func=func
self.ide=ide
self.size=1<<(self.n-1).bit_length()
self.tree=[self.ide for i in range(2*self.size)]
for i in range(self.n):
self.tree[self.size+i]=init[i]
for i in range(self.size-1,0,-1):
self.tree[i]=self.func(self.tree[2*i], self.tree[2*i|1])
def update(self,k,x):
k+=self.size
self.tree[k]=x
k>>=1
while k:
self.tree[k]=self.func(self.tree[2*k],self.tree[k*2|1])
k>>=1
def get(self,i):
return self.tree[i+self.size]
def add(self,k,x):
x+=self.get(k)
self.update(k,x)
def query(self,l,r):
l+=self.size
r+=self.size
l_res=self.ide
r_res=self.ide
while l<r:
if l&1:
l_res=self.func(l_res,self.tree[l])
l+=1
if r&1:
r-=1
r_res=self.func(self.tree[r],r_res)
l>>=1
r>>=1
return self.func(l_res,r_res)
def debug(self,s=10):
print([self.get(i) for i in range(min(self.n,s))])
class string:
def sa_is(s,upper):
n=len(s)
if n==0:
return []
if n==1:
return [0]
if n==2:
if (s[0]<s[1]):
return [0,1]
else:
return [1,0]
sa=[0]*n
ls=[0]*n
for i in range(n-2,-1,-1):
ls[i]=ls[i+1] if (s[i]==s[i+1]) else (s[i]<s[i+1])
sum_l=[0]*(upper+1)
sum_s=[0]*(upper+1)
for i in range(n):
if not(ls[i]):
sum_s[s[i]]+=1
else:
sum_l[s[i]+1]+=1
for i in range(upper+1):
sum_s[i]+=sum_l[i]
if i<upper:
sum_l[i+1]+=sum_s[i]
def induce(lms):
for i in range(n):
sa[i]=-1
buf=sum_s[:]
for d in lms:
if d==n:
continue
sa[buf[s[d]]]=d
buf[s[d]]+=1
buf=sum_l[:]
sa[buf[s[n-1]]]=n-1
buf[s[n-1]]+=1
for i in range(n):
v=sa[i]
if v>=1 and not(ls[v-1]):
sa[buf[s[v-1]]]=v-1
buf[s[v-1]]+=1
buf=sum_l[:]
for i in range(n-1,-1,-1):
v=sa[i]
if v>=1 and ls[v-1]:
buf[s[v-1]+1]-=1
sa[buf[s[v-1]+1]]=v-1
lms_map=[-1]*(n+1)
m=0
for i in range(1,n):
if not(ls[i-1]) and ls[i]:
lms_map[i]=m
m+=1
lms=[]
for i in range(1,n):
if not(ls[i-1]) and ls[i]:
lms.append(i)
induce(lms)
if m:
sorted_lms=[]
for v in sa:
if lms_map[v]!=-1:
sorted_lms.append(v)
rec_s=[0]*m
rec_upper=0
rec_s[lms_map[sorted_lms[0]]]=0
for i in range(1,m):
l=sorted_lms[i-1]
r=sorted_lms[i]
end_l=lms[lms_map[l]+1] if (lms_map[l]+1<m) else n
end_r=lms[lms_map[r]+1] if (lms_map[r]+1<m) else n
same=True
if end_l-l!=end_r-r:
same=False
else:
while(l<end_l):
if s[l]!=s[r]:
break
l+=1
r+=1
if (l==n) or (s[l]!=s[r]):
same=False
if not(same):
rec_upper+=1
rec_s[lms_map[sorted_lms[i]]]=rec_upper
rec_sa=string.sa_is(rec_s,rec_upper)
for i in range(m):
sorted_lms[i]=lms[rec_sa[i]]
induce(sorted_lms)
return sa
def suffix_array_upper(s,upper):
assert 0<=upper
for d in s:
assert 0<=d and d<=upper
return string.sa_is(s,upper)
def suffix_array(s):
n=len(s)
if type(s)==str:
s2=[ord(i) for i in s]
return string.sa_is(s2,255)
else:
idx=list(range(n))
idx.sort(key=lambda x:s[x])
s2=[0]*n
now=0
for i in range(n):
if (i& s[idx[i-1]]!=s[idx[i]]):
now+=1
s2[idx[i]]=now
return string.sa_is(s2,now)
def lcp_array(s,sa):
n=len(s)
assert n>=1
rnk=[0]*n
for i in range(n):
rnk[sa[i]]=i
lcp=[0]*(n-1)
h=0
for i in range(n):
if h>0:
h-=1
if rnk[i]==0:
continue
j=sa[rnk[i]-1]
while(j+h<n and i+h<n):
if s[j+h]!=s[i+h]:
break
h+=1
lcp[rnk[i]-1]=h
return lcp
def z_algorithm(s):
n=len(s)
if n==0:
return []
z=[0]*n
i=1;j=0
while(i<n):
z[i]=0 if (j+z[j]<=i) else min(j+z[j]-i,z[i-j])
while((i+z[i]<n) and (s[z[i]]==s[i+z[i]])):
z[i]+=1
if (j+z[j]<i+z[i]):
j=i
i+=1
z[0]=n
return z
class SparseTable:
def __init__(self,init,func,e):
n=len(init)
self.e=e
self.func=func
size=0
while (1<<size)<=n:
size+=1
self.size=size
self.table=[e]*(size*(1<<size))
for i in range(n):
self.table[i]=init[i]
for i in range(1,size):
for j in range((1<<size)-(1<<i)+1):
self.table[(i<<size)+j]=func(self.table[((i-1)<<size)+j],self.table[((i-1)<<size)+j+(1<<(i-1))])
def query(self,l,r):
if l==r:
return self.e
s=(r-l).bit_length()-1
return self.func(self.table[(s<<self.size)+l],self.table[(s<<self.size)+r-(1<<s)])
n,q=map(int,input().split())
S=input()
SA=string.suffix_array(S)
LCP=string.lcp_array(S,SA)
p=[0]*n
for i in range(n):
p[SA[i]]=i
ST=SparseTable(LCP,min,10**9)
query=[[] for i in range(n)]
for i in range(q):
L,R=map(lambda x:int(x)-1,input().split())
d=R-L+1
ng,ok=-1,p[L]
while ok-ng>1:
mid=(ng+ok)//2
if ST.query(mid,p[L])>=d:
ok=mid
else:
ng=mid
query[ok].append((d,i))
cum=[0]*n
for i in range(1,n):
cum[i]=cum[i-1]+(n-SA[i-1])
ans=[0]*q
seg1=segtree([0]*(n+1),lambda x,y:x+y,0)
seg2=segtree([0]*(n+1),lambda x,y:x+y,0)
stc=[]
for i in range(n-1,-1,-1):
if i!=n-1:
res=0
while stc and stc[-1][0]>=LCP[i]:
res+=stc[-1][1]
x=stc.pop()[0]
seg1.update(x,0)
seg2.update(x,0)
if res!=0 and LCP[i]!=0:
seg1.update(LCP[i],LCP[i]*res)
seg2.update(LCP[i],res)
stc.append((LCP[i],res))
seg1.add(n-SA[i],n-SA[i])
seg2.add(n-SA[i],1)
stc.append((n-SA[i],1))
for d,idx in query[i]:
ans[idx]+=cum[i]+seg1.query(0,d)+seg2.query(d,n+1)*(d-1)
print(*ans,sep='\n')
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