結果

問題 No.2626 Similar But Different Name
ユーザー katonyonkokatonyonko
提出日時 2024-02-10 00:00:05
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,031 ms / 3,000 ms
コード長 8,152 bytes
コンパイル時間 249 ms
コンパイル使用メモリ 81,828 KB
実行使用メモリ 152,048 KB
最終ジャッジ日時 2024-02-10 00:00:29
合計ジャッジ時間 21,306 ms
ジャッジサーバーID
(参考情報)
judge11 / 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 45 ms
57,668 KB
testcase_01 AC 45 ms
57,668 KB
testcase_02 AC 45 ms
57,668 KB
testcase_03 AC 45 ms
57,668 KB
testcase_04 AC 46 ms
57,668 KB
testcase_05 AC 47 ms
57,668 KB
testcase_06 AC 45 ms
57,668 KB
testcase_07 AC 61 ms
68,624 KB
testcase_08 AC 62 ms
68,624 KB
testcase_09 AC 59 ms
68,632 KB
testcase_10 AC 103 ms
77,372 KB
testcase_11 AC 103 ms
77,220 KB
testcase_12 AC 95 ms
76,904 KB
testcase_13 AC 112 ms
77,360 KB
testcase_14 AC 105 ms
77,380 KB
testcase_15 AC 108 ms
77,368 KB
testcase_16 AC 103 ms
77,248 KB
testcase_17 AC 104 ms
77,248 KB
testcase_18 AC 988 ms
142,996 KB
testcase_19 AC 184 ms
133,944 KB
testcase_20 AC 169 ms
133,908 KB
testcase_21 AC 158 ms
133,784 KB
testcase_22 AC 1,009 ms
150,232 KB
testcase_23 AC 1,020 ms
150,472 KB
testcase_24 AC 1,009 ms
145,684 KB
testcase_25 AC 989 ms
151,172 KB
testcase_26 AC 1,001 ms
150,440 KB
testcase_27 AC 1,011 ms
149,712 KB
testcase_28 AC 1,013 ms
151,100 KB
testcase_29 AC 1,009 ms
151,952 KB
testcase_30 AC 1,031 ms
151,156 KB
testcase_31 AC 990 ms
151,980 KB
testcase_32 AC 970 ms
149,988 KB
testcase_33 AC 1,029 ms
150,196 KB
testcase_34 AC 1,007 ms
152,024 KB
testcase_35 AC 1,025 ms
152,048 KB
testcase_36 AC 1,024 ms
152,024 KB
testcase_37 AC 996 ms
142,992 KB
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 #

import io
import sys
from collections import defaultdict, deque, Counter
from itertools import permutations, combinations, accumulate
from heapq import heappush, heappop
from bisect import bisect_right, bisect_left
from math import gcd
import math

_INPUT = """\
6
8 2 1
aiaIAiAI
AI
7 3 2
aaaaaaa
AAA
15 2 1
DXDXGdXdXgDxDxG
Dx
"""

#z algorithm
def z_algorithm(s):
    N = len(s)
    Z_alg = [0]*N

    Z_alg[0] = N
    i = 1
    j = 0
    while i < N:
        while i+j < N and s[j] == s[i+j]:
            j += 1
        Z_alg[i] = j
        if j == 0:
            i += 1
            continue
        k = 1
        while i+k < N and k + Z_alg[k]<j:
            Z_alg[i+k] = Z_alg[k]
            k += 1
        i += k
        j -= k
    return Z_alg

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 input():
  return sys.stdin.readline()[:-1]

def solve(test):
  N,M,K=map(int, input().split())
  S=input()
  T=input()
  Z=z_algorithm(T.lower()+"_"+S.lower())[-N:]
  CONV=FFT(998244353)
  A=[0 if S[i].islower() else 1 for i in range(N)]
  B=[0 if T[i].islower() else 1 for i in range(M)]
  s=sum(B)
  C=CONV.convolution(A,B[::-1])[-N:]
  # print(Z,C)
  D=[sum(A[:M])]
  for i in range(N-M):
    D.append(D[-1]+A[i+M]-A[i])
  # print(D)
  ans=0
  for i in range(N-M+1):
    if Z[i]==M and 0<D[i]-2*C[i]+s<=K:
      ans+=1
  print(ans)

def random_input():
  from random import randint,shuffle
  N=randint(1,10)
  M=randint(1,N)
  A=list(range(1,M+1))+[randint(1,M) for _ in range(N-M)]
  shuffle(A)
  return (" ".join(map(str, [N,M]))+"\n"+" ".join(map(str, A))+"\n")*3

def simple_solve():
  return []

def main(test):
  if test==0:
    solve(0)
  elif test==1:
    sys.stdin = io.StringIO(_INPUT)
    case_no=int(input())
    for _ in range(case_no):
      solve(0)
  else:
    for i in range(1000):
      sys.stdin = io.StringIO(random_input())
      x=solve(1)
      y=simple_solve()
      if x!=y:
        print(i,x,y)
        print(*[line for line in sys.stdin],sep='')
        break

#0:提出用、1:与えられたテスト用、2:ストレステスト用
main(0)
0