結果
| 問題 |
No.2626 Similar But Different Name
|
| コンテスト | |
| ユーザー |
 AngrySadEight
|
| 提出日時 | 2024-02-09 17:52:37 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
AC
|
| 実行時間 | 1,824 ms / 3,000 ms |
| コード長 | 7,906 bytes |
| コンパイル時間 | 185 ms |
| コンパイル使用メモリ | 82,040 KB |
| 実行使用メモリ | 160,308 KB |
| 最終ジャッジ日時 | 2024-09-28 13:03:50 |
| 合計ジャッジ時間 | 38,217 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 35 |
ソースコード
# ACL-for-python: https://github.com/shakayami/ACL-for-python/blob/master/convolution.py
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]
def inv_gcd(a,b):
a=a%b
if a==0:
return (b,0)
s=b;t=a
m0=0;m1=1
while(t):
u=s//t
s-=t*u
m0-=m1*u
s,t=t,s
m0,m1=m1,m0
if m0<0:
m0+=b//s
return (s,m0)
def crt(r,m):
assert len(r)==len(m)
n=len(r)
r0=0;m0=1
for i in range(n):
assert 1<=m[i]
r1=r[i]%m[i]
m1=m[i]
if m0<m1:
r0,r1=r1,r0
m0,m1=m1,m0
if (m0%m1==0):
if (r0%m1!=r1):
return (0,0)
continue
g,im=inv_gcd(m0,m1)
u1=m1//g
if ((r1-r0)%g):
return (0,0)
x=(r1-r0)//g % u1*im%u1
r0+=x*m0
m0*=u1
if r0<0:
r0+=m0
return (r0,m0)
mod1 = 998244353
mod2 = 754974721
CONV1 = FFT(mod1)
CONV2 = FFT(mod2)
def conv_ch(c):
if 0 <= ord(c) - ord('A') <= 25:
return (ord(c) - ord('A')) * 10000 + 1
else:
return (ord(c) - ord('a')) * 10000
N, M, K = map(int, input().split())
S = str(input())
T = str(input())
sq_sum_s = [0 for _ in range(N + 1)]
sq_sum_t = 0
val_s = [0 for _ in range(N)]
val_t = [0 for _ in range(N)]
for i in range(N):
val = conv_ch(S[i])
sq_sum_s[i + 1] = sq_sum_s[i] + val * val
val_s[i] = val
for i in range(M):
val = conv_ch(T[M - 1 - i])
sq_sum_t += val * val
val_t[i] = val
conv_st1 = CONV1.convolution(val_s, val_t)
conv_st2 = CONV2.convolution(val_s, val_t)
ans = 0
for i in range(M - 1, N):
conv_val = crt((conv_st1[i], conv_st2[i]), (mod1, mod2))
diffs = sq_sum_s[i + 1] - sq_sum_s[i + 1 - M] + sq_sum_t - 2 * conv_val[0]
if 1 <= diffs <= K:
ans += 1
print(ans)