結果
| 問題 | No.2626 Similar But Different Name |
| ユーザー |
 PNJ
|
| 提出日時 | 2024-02-09 23:27:45 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
AC
|
| 実行時間 | 2,609 ms / 3,000 ms |
| コード長 | 11,106 bytes |
| コンパイル時間 | 217 ms |
| コンパイル使用メモリ | 81,828 KB |
| 実行使用メモリ | 266,420 KB |
| 最終ジャッジ日時 | 2024-02-09 23:28:36 |
| 合計ジャッジ時間 | 44,167 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge14 |
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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 | 40 ms
55,568 KB |
| testcase_01 | AC | 40 ms
55,568 KB |
| testcase_02 | AC | 36 ms
55,568 KB |
| testcase_03 | AC | 35 ms
55,568 KB |
| testcase_04 | AC | 35 ms
55,568 KB |
| testcase_05 | AC | 41 ms
62,032 KB |
| testcase_06 | AC | 39 ms
62,032 KB |
| testcase_07 | AC | 61 ms
73,340 KB |
| testcase_08 | AC | 68 ms
73,352 KB |
| testcase_09 | AC | 59 ms
73,348 KB |
| testcase_10 | AC | 118 ms
77,592 KB |
| testcase_11 | AC | 116 ms
77,580 KB |
| testcase_12 | AC | 107 ms
77,396 KB |
| testcase_13 | AC | 119 ms
77,592 KB |
| testcase_14 | AC | 126 ms
77,888 KB |
| testcase_15 | AC | 124 ms
77,700 KB |
| testcase_16 | AC | 118 ms
77,528 KB |
| testcase_17 | AC | 119 ms
77,588 KB |
| testcase_18 | AC | 2,609 ms
266,420 KB |
| testcase_19 | AC | 648 ms
153,480 KB |
| testcase_20 | AC | 680 ms
152,508 KB |
| testcase_21 | AC | 708 ms
156,856 KB |
| testcase_22 | AC | 2,321 ms
245,736 KB |
| testcase_23 | AC | 2,308 ms
247,720 KB |
| testcase_24 | AC | 2,183 ms
225,768 KB |
| testcase_25 | AC | 2,228 ms
238,016 KB |
| testcase_26 | AC | 2,265 ms
249,344 KB |
| testcase_27 | AC | 2,300 ms
248,904 KB |
| testcase_28 | AC | 2,274 ms
243,416 KB |
| testcase_29 | AC | 2,220 ms
229,764 KB |
| testcase_30 | AC | 2,189 ms
239,204 KB |
| testcase_31 | AC | 2,255 ms
244,764 KB |
| testcase_32 | AC | 2,278 ms
248,176 KB |
| testcase_33 | AC | 2,295 ms
247,992 KB |
| testcase_34 | AC | 2,199 ms
228,784 KB |
| testcase_35 | AC | 2,365 ms
244,892 KB |
| testcase_36 | AC | 2,200 ms
229,344 KB |
| testcase_37 | AC | 2,538 ms
266,408 KB |
ソースコード
class FFT():
def primitive_root_constexpr(self,m):
if m==2:return 1
if m==167772161:return 3
if m==469762049:return 3
if m==754974721:return 11
if m==998244353:return 3
divs=[0]*20
divs[0]=2
cnt=1
x=(m-1)//2
while(x%2==0):x//=2
i=3
while(i*i<=x):
if (x%i==0):
divs[cnt]=i
cnt+=1
while(x%i==0):
x//=i
i+=2
if x>1:
divs[cnt]=x
cnt+=1
g=2
while(1):
ok=True
for i in range(cnt):
if pow(g,(m-1)//divs[i],m)==1:
ok=False
break
if ok:
return g
g+=1
def bsf(self,x):
res=0
while(x%2==0):
res+=1
x//=2
return res
rank2=0
root=[]
iroot=[]
rate2=[]
irate2=[]
rate3=[]
irate3=[]
def __init__(self,MOD):
self.mod=MOD
self.g=self.primitive_root_constexpr(self.mod)
self.rank2=self.bsf(self.mod-1)
self.root=[0 for i in range(self.rank2+1)]
self.iroot=[0 for i in range(self.rank2+1)]
self.rate2=[0 for i in range(self.rank2)]
self.irate2=[0 for i in range(self.rank2)]
self.rate3=[0 for i in range(self.rank2-1)]
self.irate3=[0 for i in range(self.rank2-1)]
self.root[self.rank2]=pow(self.g,(self.mod-1)>>self.rank2,self.mod)
self.iroot[self.rank2]=pow(self.root[self.rank2],self.mod-2,self.mod)
for i in range(self.rank2-1,-1,-1):
self.root[i]=(self.root[i+1]**2)%self.mod
self.iroot[i]=(self.iroot[i+1]**2)%self.mod
prod=1;iprod=1
for i in range(self.rank2-1):
self.rate2[i]=(self.root[i+2]*prod)%self.mod
self.irate2[i]=(self.iroot[i+2]*iprod)%self.mod
prod=(prod*self.iroot[i+2])%self.mod
iprod=(iprod*self.root[i+2])%self.mod
prod=1;iprod=1
for i in range(self.rank2-2):
self.rate3[i]=(self.root[i+3]*prod)%self.mod
self.irate3[i]=(self.iroot[i+3]*iprod)%self.mod
prod=(prod*self.iroot[i+3])%self.mod
iprod=(iprod*self.root[i+3])%self.mod
def butterfly(self,a):
n=len(a)
h=(n-1).bit_length()
LEN=0
while(LEN<h):
if (h-LEN==1):
p=1<<(h-LEN-1)
rot=1
for s in range(1<<LEN):
offset=s<<(h-LEN)
for i in range(p):
l=a[i+offset]
r=a[i+offset+p]*rot
a[i+offset]=(l+r)%self.mod
a[i+offset+p]=(l-r)%self.mod
rot*=self.rate2[(~s & -~s).bit_length()-1]
rot%=self.mod
LEN+=1
else:
p=1<<(h-LEN-2)
rot=1
imag=self.root[2]
for s in range(1<<LEN):
rot2=(rot*rot)%self.mod
rot3=(rot2*rot)%self.mod
offset=s<<(h-LEN)
for i in range(p):
a0=a[i+offset]
a1=a[i+offset+p]*rot
a2=a[i+offset+2*p]*rot2
a3=a[i+offset+3*p]*rot3
a1na3imag=(a1-a3)%self.mod*imag
a[i+offset]=(a0+a2+a1+a3)%self.mod
a[i+offset+p]=(a0+a2-a1-a3)%self.mod
a[i+offset+2*p]=(a0-a2+a1na3imag)%self.mod
a[i+offset+3*p]=(a0-a2-a1na3imag)%self.mod
rot*=self.rate3[(~s & -~s).bit_length()-1]
rot%=self.mod
LEN+=2
def butterfly_inv(self,a):
n=len(a)
h=(n-1).bit_length()
LEN=h
while(LEN):
if (LEN==1):
p=1<<(h-LEN)
irot=1
for s in range(1<<(LEN-1)):
offset=s<<(h-LEN+1)
for i in range(p):
l=a[i+offset]
r=a[i+offset+p]
a[i+offset]=(l+r)%self.mod
a[i+offset+p]=(l-r)*irot%self.mod
irot*=self.irate2[(~s & -~s).bit_length()-1]
irot%=self.mod
LEN-=1
else:
p=1<<(h-LEN)
irot=1
iimag=self.iroot[2]
for s in range(1<<(LEN-2)):
irot2=(irot*irot)%self.mod
irot3=(irot*irot2)%self.mod
offset=s<<(h-LEN+2)
for i in range(p):
a0=a[i+offset]
a1=a[i+offset+p]
a2=a[i+offset+2*p]
a3=a[i+offset+3*p]
a2na3iimag=(a2-a3)*iimag%self.mod
a[i+offset]=(a0+a1+a2+a3)%self.mod
a[i+offset+p]=(a0-a1+a2na3iimag)*irot%self.mod
a[i+offset+2*p]=(a0+a1-a2-a3)*irot2%self.mod
a[i+offset+3*p]=(a0-a1-a2na3iimag)*irot3%self.mod
irot*=self.irate3[(~s & -~s).bit_length()-1]
irot%=self.mod
LEN-=2
def convolution(self,a,b):
n=len(a);m=len(b)
if not(a) or not(b):
return []
if min(n,m)<=40:
res=[0]*(n+m-1)
for i in range(n):
for j in range(m):
res[i+j]+=a[i]*b[j]
res[i+j]%=self.mod
return res
z=1<<((n+m-2).bit_length())
a=a+[0]*(z-n)
b=b+[0]*(z-m)
self.butterfly(a)
self.butterfly(b)
c=[(a[i]*b[i])%self.mod for i in range(z)]
self.butterfly_inv(c)
iz=pow(z,self.mod-2,self.mod)
for i in range(n+m-1):
c[i]=(c[i]*iz)%self.mod
return c[:n+m-1]
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
N,M,K = map(int,input().split())
P,PP = [0 for i in range(N)],[0 for i in range(N)]
Q,QQ = [0 for i in range(M)],[0 for i in range(M)]
S = input()
S = [S[i] for i in range(N)]
for i in range(N):
if ord(S[i]) < 97:
P[i] = 1
S[i] = ord(S[i]) - 65
else:
PP[i] = 1
S[i] = ord(S[i]) - 97
T = input()
T = [T[i] for i in range(M)]
for i in range(M):
if ord(T[i]) < 97:
QQ[i] = 1
T[i] = ord(T[i]) - 65
else:
Q[i] = 1
T[i] = ord(T[i]) - 97
P = P[::-1]
PP = PP[::-1]
ans = [0 for i in range(N)]
b = 100
mod = 2**61 - 1
for i in range(N):
S[i] *= pow(b,i,mod)
S[i] %= mod
for i in range(M):
T[i] *= pow(b,i,mod)
T[i] %= mod
TT = sum(T) % mod
SS = 0
for i in range(M):
SS += S[i]
SS %= mod
if SS == TT:
ans[0] = 1
for i in range(1,N-M+1):
SS -= S[i-1]
SS += S[i+M-1]
SS %= mod
TT *= b
TT %= mod
if SS == TT:
ans[i] = 1
CONV = FFT(998244353)
F = CONV.convolution(P,Q)
G = CONV.convolution(PP,QQ)
for i in range(N):
n = N - 1 - i
if F[n] + G[n] > K:
ans[i] = 0
elif F[n] + G[n] == 0:
ans[i] = 0
print(sum(ans))