結果

問題 No.2626 Similar But Different Name
ユーザー nikoro256nikoro256
提出日時 2024-02-13 14:12:42
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,335 ms / 3,000 ms
コード長 9,892 bytes
コンパイル時間 147 ms
コンパイル使用メモリ 82,548 KB
実行使用メモリ 256,832 KB
最終ジャッジ日時 2024-09-28 18:23:19
合計ジャッジ時間 22,759 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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
56,444 KB
testcase_01 AC 42 ms
57,752 KB
testcase_02 AC 43 ms
57,060 KB
testcase_03 AC 43 ms
58,116 KB
testcase_04 AC 42 ms
56,624 KB
testcase_05 AC 44 ms
58,300 KB
testcase_06 AC 41 ms
57,264 KB
testcase_07 AC 71 ms
75,316 KB
testcase_08 AC 69 ms
74,356 KB
testcase_09 AC 95 ms
77,444 KB
testcase_10 AC 101 ms
78,352 KB
testcase_11 AC 99 ms
78,508 KB
testcase_12 AC 95 ms
78,072 KB
testcase_13 AC 98 ms
78,220 KB
testcase_14 AC 122 ms
78,700 KB
testcase_15 AC 125 ms
78,828 KB
testcase_16 AC 121 ms
78,832 KB
testcase_17 AC 123 ms
78,820 KB
testcase_18 AC 1,335 ms
250,988 KB
testcase_19 AC 278 ms
159,468 KB
testcase_20 AC 255 ms
158,780 KB
testcase_21 AC 554 ms
216,652 KB
testcase_22 AC 1,029 ms
186,124 KB
testcase_23 AC 1,021 ms
186,692 KB
testcase_24 AC 1,004 ms
182,352 KB
testcase_25 AC 1,036 ms
185,452 KB
testcase_26 AC 1,031 ms
186,984 KB
testcase_27 AC 1,036 ms
187,376 KB
testcase_28 AC 1,025 ms
183,968 KB
testcase_29 AC 1,163 ms
213,644 KB
testcase_30 AC 1,131 ms
213,680 KB
testcase_31 AC 1,150 ms
207,252 KB
testcase_32 AC 1,164 ms
208,304 KB
testcase_33 AC 1,161 ms
212,984 KB
testcase_34 AC 1,125 ms
213,648 KB
testcase_35 AC 1,124 ms
215,164 KB
testcase_36 AC 1,114 ms
213,720 KB
testcase_37 AC 1,330 ms
256,832 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 # 

from collections import Counter

# SA-IS (O(nlogn))
# s: 文字列
def sais(s):
    uniq = list(set(s))
    uniq.sort()
    return sais_rec(list(map({e: i+1 for i, e in enumerate(uniq)}.__getitem__, s)), len(uniq))
def sais_rec(lst, num):
    L = len(lst)
    if L < 2:
        return lst + [0]
    lst = lst + [0]
    L += 1
    res = [-1] * L
    t = [1] * L
    for i in range(L-2, -1, -1):
        t[i] = 1 if (lst[i] < lst[i+1] or (lst[i] == lst[i+1] and t[i+1])) else 0
    isLMS = [t[i-1] < t[i] for i in range(L)]
    LMS = [i for i in range(1, L) if t[i-1] < t[i]]
    LMSn = len(LMS)

    count = Counter(lst)
    tmp = 0
    cstart = [0]*(num+1)
    cend = [0]*(num+1)
    for key in range(num+1):
        cstart[key] = tmp
        cend[key] = tmp = tmp + count[key]

    cc_it = [iter(range(e-1, s-1, -1)) for s, e in zip(cstart, cend)]
    for e in reversed(LMS):
        res[next(cc_it[lst[e]])] = e

    cs_it = [iter(range(s, e)) for s, e in zip(cstart, cend)]
    ce_it = [iter(range(e-1, s-1, -1)) for s, e in zip(cstart, cend)]
    for e in res:
        if e > 0 and not t[e-1]:
            res[next(cs_it[lst[e-1]])] = e-1
    for e in reversed(res):
        if e > 0 and t[e-1]:
            res[next(ce_it[lst[e-1]])] = e-1

    name = 0; prev = -1
    pLMS = {}
    for e in res:
        if isLMS[e]:
            if prev == -1 or lst[e] != lst[prev]:
                name += 1; prev = e
            else:
                for i in range(1, L):
                    if lst[e+i] != lst[prev+i]:
                        name += 1; prev = e
                        break
                    if isLMS[e+i] or isLMS[prev+i]:
                        break
            pLMS[e] = name-1

    if name < LMSn:
        sublst = [pLMS[e] for e in LMS if e < L-1]
        ret = sais_rec(sublst, name-1)

        LMS = list(map(LMS.__getitem__, reversed(ret)))
    else:
        LMS = [e for e in reversed(res) if isLMS[e]]

    res = [-1] * L

    cc_it = [iter(range(e-1, s-1, -1)) for s, e in zip(cstart, cend)]
    for e in LMS:
        res[next(cc_it[lst[e]])] = e

    cs_it = [iter(range(s, e)) for s, e in zip(cstart, cend)]
    ce_it = [iter(range(e-1, s-1, -1)) for s, e in zip(cstart, cend)]

    for e in res:
        if e > 0 and not t[e-1]:
            res[next(cs_it[lst[e-1]])] = e-1
    for e in reversed(res):
        if e > 0 and t[e-1]:
            res[next(ce_it[lst[e-1]])] = e-1
    return res

# Longest Common Prefix
# (文字列s, 文字列長n, Suffix Array)を引数として与える
def LCP(s, n, sa):
    lcp = [-1]*(n+1)
    rank = [0]*(n+1)
    for i in range(n+1): rank[sa[i]] = i

    h = 0
    lcp[0] = 0
    for i in range(n):
        j = sa[rank[i] - 1]
        if h > 0: h -= 1
        while j+h < n and i+h < n and s[j+h]==s[i+h]:
            h += 1
        lcp[rank[i] - 1] = h
    return lcp
#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 nibun(f):
    left,right=-1,N+1
    while right-left>1:
        mid=(right+left)//2
        if f(mid):
            left=mid
        else:
            right=mid
    return right

def isok(n):
    pos=sa[n]
    if S[pos:].upper()<T.upper():
        return True
    return False

def isok2(n):
    pos=sa[n]
    if S[pos:].upper()<T.upper()+'z':
        return True
    return False

N,M,K=map(int,input().split())
S=input()
T=input()
sa=sais(S.upper())
one=nibun(isok)
two=nibun(isok2)
s=[]
t=[]
for si in S:
    if si.isupper():
        s.append(1)
    else:
        s.append(-1)
for si in T:
    if si.isupper():
        t.append(1)
    else:
        t.append(-1)
fft=FFT(998244353)
fa=fft.convolution(s,t[::-1])
ans=0
for i in range(one,two):
    tmp=fa[sa[i]+M-1]
    if tmp>=10**8:
        tmp-=998244353
    if M>tmp>=M-K*2:
        ans+=1
print(ans)
0