結果

問題 No.1195 数え上げを愛したい（文字列編）
ユーザー vwxyzvwxyz
提出日時 2023-04-22 18:53:54
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,133 ms / 3,000 ms
コード長 4,915 bytes
コンパイル時間 637 ms
コンパイル使用メモリ 82,432 KB
実行使用メモリ 208,972 KB
最終ジャッジ日時 2024-04-24 21:45:11
合計ジャッジ時間 19,034 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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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 1,109 ms
208,972 KB
testcase_01 AC 1,082 ms
207,936 KB
testcase_02 AC 1,089 ms
208,612 KB
testcase_03 AC 343 ms
107,104 KB
testcase_04 AC 364 ms
110,940 KB
testcase_05 AC 124 ms
102,912 KB
testcase_06 AC 45 ms
55,680 KB
testcase_07 AC 44 ms
55,552 KB
testcase_08 AC 295 ms
97,056 KB
testcase_09 AC 1,095 ms
206,224 KB
testcase_10 AC 579 ms
139,716 KB
testcase_11 AC 1,054 ms
207,704 KB
testcase_12 AC 1,133 ms
205,200 KB
testcase_13 AC 900 ms
170,148 KB
testcase_14 AC 574 ms
135,928 KB
testcase_15 AC 598 ms
139,680 KB
testcase_16 AC 579 ms
137,208 KB
testcase_17 AC 300 ms
97,052 KB
testcase_18 AC 1,069 ms
202,852 KB
testcase_19 AC 1,072 ms
201,304 KB
testcase_20 AC 891 ms
174,320 KB
testcase_21 AC 1,053 ms
202,900 KB
testcase_22 AC 617 ms
144,736 KB
testcase_23 AC 47 ms
55,296 KB
testcase_24 AC 45 ms
55,680 KB
testcase_25 AC 46 ms
55,808 KB
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ソースコード

diff # 

import math
import sys
readline=sys.stdin.readline
from collections import Counter
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max

mod=998244353
def NTT(polynomial0,polynomial1):
    """
    if len(polynomial0)*len(polynomial1)<=50:
        poly=[0]*(len(polynomial0)+len(polynomial1)-1)
        for i in range(len(polynomial0)):
            for j in range(len(polynomial1)):
                poly[i+j]+=polynomial0[i]*polynomial1[j]%mod
                poly[i+j]%=mod
        return poly
    """
    if mod==998244353:
        prim_root=3
        prim_root_inve=332748118
    else:
        prim_root=Primitive_Root(mod)
        prim_root_inve=MOD(mod).Pow(prim_root,-1)
    def DFT(polynomial,n,inverse=False):
        if inverse:
            for bit in range(1,n+1):
                a=1<<bit-1
                x=pow(prim_root,mod-1>>bit,mod)
                U=[1]
                for _ in range(a):
                    U.append(U[-1]*x%mod)
                for i in range(1<<n-bit):
                    for j in range(a):
                        s=i*2*a+j
                        t=s+a
                        polynomial[s],polynomial[t]=(polynomial[s]+polynomial[t]*U[j])%mod,(polynomial[s]-polynomial[t]*U[j])%mod
            x=pow((mod+1)//2,n,mod)
            for i in range(1<<n):
                polynomial[i]*=x
                polynomial[i]%=mod
        else:
            for bit in range(n,0,-1):
                a=1<<bit-1
                x=pow(prim_root_inve,mod-1>>bit,mod)
                U=[1]
                for _ in range(a):
                    U.append(U[-1]*x%mod)
                for i in range(1<<n-bit):
                    for j in range(a):
                        s=i*2*a+j
                        t=s+a
                        polynomial[s],polynomial[t]=(polynomial[s]+polynomial[t])%mod,U[j]*(polynomial[s]-polynomial[t])%mod

    l=len(polynomial0)+len(polynomial1)-1
    n=(len(polynomial0)+len(polynomial1)-2).bit_length()
    polynomial0=polynomial0+[0]*((1<<n)-len(polynomial0))
    polynomial1=polynomial1+[0]*((1<<n)-len(polynomial1))
    DFT(polynomial0,n)
    DFT(polynomial1,n)
    ntt=[x*y%mod for x,y in zip(polynomial0,polynomial1)]
    DFT(ntt,n,inverse=True)
    ntt=ntt[:l]
    return ntt

def Extended_Euclid(n,m):
    stack=[]
    while m:
        stack.append((n,m))
        n,m=m,n%m
    if n>=0:
        x,y=1,0
    else:
        x,y=-1,0
    for i in range(len(stack)-1,-1,-1):
        n,m=stack[i]
        x,y=y,x-(n//m)*y
    return x,y

class MOD:
    def __init__(self,p,e=None):
        self.p=p
        self.e=e
        if self.e==None:
            self.mod=self.p
        else:
            self.mod=self.p**self.e

    def Pow(self,a,n):
        a%=self.mod
        if n>=0:
            return pow(a,n,self.mod)
        else:
            assert math.gcd(a,self.mod)==1
            x=Extended_Euclid(a,self.mod)[0]
            return pow(x,-n,self.mod)

    def Build_Fact(self,N):
        assert N>=0
        self.factorial=[1]
        if self.e==None:
            for i in range(1,N+1):
                self.factorial.append(self.factorial[-1]*i%self.mod)
        else:
            self.cnt=[0]*(N+1)
            for i in range(1,N+1):
                self.cnt[i]=self.cnt[i-1]
                ii=i
                while ii%self.p==0:
                    ii//=self.p
                    self.cnt[i]+=1
                self.factorial.append(self.factorial[-1]*ii%self.mod)
        self.factorial_inve=[None]*(N+1)
        self.factorial_inve[-1]=self.Pow(self.factorial[-1],-1)
        for i in range(N-1,-1,-1):
            ii=i+1
            while ii%self.p==0:
                ii//=self.p
            self.factorial_inve[i]=(self.factorial_inve[i+1]*ii)%self.mod

    def Fact(self,N):
        if N<0:
            return 0
        retu=self.factorial[N]
        if self.e!=None and self.cnt[N]:
            retu*=pow(self.p,self.cnt[N],self.mod)%self.mod
            retu%=self.mod
        return retu

    def Fact_Inve(self,N):
        if self.e!=None and self.cnt[N]:
            return None
        return self.factorial_inve[N]

    def Comb(self,N,K,divisible_count=False):
        if K<0 or K>N:
            return 0
        retu=self.factorial[N]*self.factorial_inve[K]%self.mod*self.factorial_inve[N-K]%self.mod
        if self.e!=None:
            cnt=self.cnt[N]-self.cnt[N-K]-self.cnt[K]
            if divisible_count:
                return retu,cnt
            else:
                retu*=pow(self.p,cnt,self.mod)
                retu%=self.mod
        return retu

S=readline().rstrip()
N=len(S)
mod=998244353
MD=MOD(mod)
MD.Build_Fact(N)
queue=[(c,[MD.Fact_Inve(i) for i in range(c+1)]) for c in Counter(S).values()]
while len(queue)>=2:
    poly=NTT(heappop(queue)[1],heappop(queue)[1])
    heappush(queue,(len(poly)-1,poly))
ans=sum(queue[0][1][i]*MD.Fact(i)%mod for i in range(1,N+1))%mod
print(ans)
0