結果

問題 No.2626 Similar But Different Name
ユーザー 👑 AngrySadEightAngrySadEight
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
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 38 ms
54,288 KB
testcase_01 AC 37 ms
55,228 KB
testcase_02 AC 38 ms
54,844 KB
testcase_03 AC 36 ms
54,972 KB
testcase_04 AC 36 ms
55,032 KB
testcase_05 AC 42 ms
61,568 KB
testcase_06 AC 42 ms
61,620 KB
testcase_07 AC 126 ms
78,360 KB
testcase_08 AC 123 ms
77,820 KB
testcase_09 AC 121 ms
78,016 KB
testcase_10 AC 125 ms
78,528 KB
testcase_11 AC 126 ms
78,488 KB
testcase_12 AC 127 ms
78,524 KB
testcase_13 AC 125 ms
78,396 KB
testcase_14 AC 127 ms
77,992 KB
testcase_15 AC 124 ms
78,396 KB
testcase_16 AC 122 ms
78,324 KB
testcase_17 AC 123 ms
78,320 KB
testcase_18 AC 1,607 ms
159,432 KB
testcase_19 AC 1,824 ms
155,560 KB
testcase_20 AC 1,786 ms
154,704 KB
testcase_21 AC 1,815 ms
155,948 KB
testcase_22 AC 1,716 ms
159,208 KB
testcase_23 AC 1,711 ms
155,408 KB
testcase_24 AC 1,755 ms
155,404 KB
testcase_25 AC 1,737 ms
154,828 KB
testcase_26 AC 1,715 ms
155,448 KB
testcase_27 AC 1,752 ms
159,668 KB
testcase_28 AC 1,720 ms
154,640 KB
testcase_29 AC 1,725 ms
156,052 KB
testcase_30 AC 1,751 ms
155,308 KB
testcase_31 AC 1,724 ms
159,984 KB
testcase_32 AC 1,712 ms
155,328 KB
testcase_33 AC 1,730 ms
155,296 KB
testcase_34 AC 1,731 ms
159,872 KB
testcase_35 AC 1,702 ms
155,948 KB
testcase_36 AC 1,772 ms
160,308 KB
testcase_37 AC 1,530 ms
159,852 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 # 

# 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)
0