結果

問題 No.1532 Different Products
ユーザー PCTprobabilityPCTprobability
提出日時 2021-05-02 17:13:24
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,370 ms / 4,000 ms
コード長 1,996 bytes
コンパイル時間 334 ms
コンパイル使用メモリ 82,604 KB
実行使用メモリ 257,408 KB
最終ジャッジ日時 2024-04-18 11:40:08
合計ジャッジ時間 50,697 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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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 43 ms
56,576 KB
testcase_01 AC 282 ms
144,256 KB
testcase_02 AC 48 ms
62,336 KB
testcase_03 AC 45 ms
56,576 KB
testcase_04 AC 43 ms
56,192 KB
testcase_05 AC 44 ms
56,292 KB
testcase_06 AC 60 ms
67,676 KB
testcase_07 AC 63 ms
69,504 KB
testcase_08 AC 68 ms
71,552 KB
testcase_09 AC 168 ms
106,880 KB
testcase_10 AC 355 ms
171,776 KB
testcase_11 AC 297 ms
151,680 KB
testcase_12 AC 734 ms
255,616 KB
testcase_13 AC 526 ms
231,552 KB
testcase_14 AC 1,175 ms
255,360 KB
testcase_15 AC 163 ms
106,752 KB
testcase_16 AC 322 ms
154,880 KB
testcase_17 AC 334 ms
166,016 KB
testcase_18 AC 306 ms
155,136 KB
testcase_19 AC 711 ms
255,488 KB
testcase_20 AC 1,178 ms
254,720 KB
testcase_21 AC 424 ms
194,048 KB
testcase_22 AC 491 ms
220,800 KB
testcase_23 AC 387 ms
183,296 KB
testcase_24 AC 1,109 ms
255,488 KB
testcase_25 AC 639 ms
256,640 KB
testcase_26 AC 141 ms
96,256 KB
testcase_27 AC 562 ms
238,976 KB
testcase_28 AC 449 ms
201,856 KB
testcase_29 AC 365 ms
171,776 KB
testcase_30 AC 711 ms
255,872 KB
testcase_31 AC 719 ms
256,000 KB
testcase_32 AC 848 ms
256,640 KB
testcase_33 AC 647 ms
255,872 KB
testcase_34 AC 1,031 ms
255,360 KB
testcase_35 AC 847 ms
257,408 KB
testcase_36 AC 1,013 ms
255,872 KB
testcase_37 AC 187 ms
77,824 KB
testcase_38 AC 1,074 ms
255,616 KB
testcase_39 AC 959 ms
256,256 KB
testcase_40 AC 979 ms
255,104 KB
testcase_41 AC 1,328 ms
256,000 KB
testcase_42 AC 1,225 ms
254,848 KB
testcase_43 AC 1,257 ms
255,104 KB
testcase_44 AC 1,338 ms
254,592 KB
testcase_45 AC 1,347 ms
254,848 KB
testcase_46 AC 1,311 ms
255,232 KB
testcase_47 AC 1,364 ms
255,232 KB
testcase_48 AC 1,350 ms
255,744 KB
testcase_49 AC 1,356 ms
254,848 KB
testcase_50 AC 1,342 ms
254,720 KB
testcase_51 AC 1,355 ms
254,720 KB
testcase_52 AC 1,326 ms
255,104 KB
testcase_53 AC 1,353 ms
254,976 KB
testcase_54 AC 1,342 ms
254,976 KB
testcase_55 AC 1,345 ms
254,976 KB
testcase_56 AC 1,307 ms
255,104 KB
testcase_57 AC 1,313 ms
254,592 KB
testcase_58 AC 1,336 ms
255,232 KB
testcase_59 AC 1,292 ms
255,872 KB
testcase_60 AC 1,370 ms
255,488 KB
testcase_61 AC 45 ms
56,320 KB
testcase_62 AC 44 ms
56,064 KB
testcase_63 AC 1,355 ms
254,592 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 # 

"""
Dirichlet Product
"""
def mul(N,K,L,data_as,data_ab,data_bs,data_bb):
    data_rs = [0 for i in range(K+1)]
    data_rb = [0 for i in range(L+1)]

    for i in range(1,K+1):
        for j in range(1,K//i+1):
            data_rs[i*j] += data_as[i] * data_bs[j]

    data_as_cum = [data_as[i] for i in range(K+1)]
    data_bs_cum = [data_bs[i] for i in range(K+1)]
    for i in range(1,K+1):
        data_as_cum[i] += data_as_cum[i-1]
        data_bs_cum[i] += data_bs_cum[i-1]

    def cumA(i):
        if 1<=i<=L:
            return data_ab[i]
        else:
            return data_as_cum[(N//i)]

    def cumB(i):
        if 1<=i<=L:
            return data_bb[i]
        else:
            return data_bs_cum[(N//i)]

    for i in range(1,L+1):
        M = int((N//i)**.5)
        for j in range(1,M+1):
            data_rb[i] += data_as[j] * cumB(i*j)
        for j in range(1,M+1):
            data_rb[i] += data_bs[j] * (cumA(i*j)-cumA(N//M))

    return data_rs,data_rb

def single_mul(N,K,L,a,A,val):
    res = [a[i] for i in range(K+1)]
    Res = [A[i] for i in range(L+1)]

    for i in range(1,K+1):
        if i*val<=K:
            res[i*val] += a[i]

    cum = [a[i] for i in range(K+1)]
    for i in range(1,K+1):
        cum[i] += cum[i-1]

    def cumA(i):
        if 1<=i<=L:
            return A[i]
        else:
            return cum[N//i]

    for i in range(1,L+1):
        Res[i] += cumA(i*val)

    return res,Res

import sys,random,bisect
from collections import deque,defaultdict
from heapq import heapify,heappop,heappush
from itertools import permutations
from math import gcd,log

input = lambda :sys.stdin.readline().rstrip()
mi = lambda :map(int,input().split())
li = lambda :list(mi())

_N,_K = mi()

N = _K
K = min(N,int(N**.5)+1)
L = K

res = [0 for i in range(K+1)]
res[1] = 1
Res = [0 for i in range(L+1)]
for i in range(1,L+1):
    Res[i] = 1

for i in range(1,_N+1):
    res,Res = single_mul(N,K,L,res,Res,i)

if K==1 :
  print(1)
else:
  print((Res[1]-1))
0