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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#773027#9553. The HermitrenewAC ✓1420ms167520kbPython31.1kb2024-11-22 23:53:532024-11-22 23:54:00

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 23:54:00]
  • 评测
  • 测评结果:AC
  • 用时:1420ms
  • 内存:167520kb
  • [2024-11-22 23:53:53]
  • 提交

answer

def solve():
    m, n = map(int, input().split())
    maxn = 500005
    mod = 998244353
    fac = [0] * maxn
    nfac = [0] * maxn
    inv = [0] * maxn
    d = [0] * maxn
    f = [[] for _ in range(maxn)]
    dd = [[] for _ in range(maxn)]

    fac[0] = fac[1] = nfac[0] = nfac[1] = inv[1] = 1
    for i in range(2, maxn):
        fac[i] = (fac[i-1] * i) % mod
        inv[i] = mod - (mod // i) * inv[mod % i] % mod
        nfac[i] = (nfac[i-1] * inv[i]) % mod

    def C(a, b):
        return 0 if a < b else (fac[a] * nfac[b] * nfac[a-b]) % mod

    for i in range(1, m + 1):
        for j in range(i, m + 1, i):
            d[j] += 1
            if i != j:
                dd[j].append(i)
    
    ans = 0
    for i in range(1, m + 1):
        f[i] = [0] * (d[i] + 1)
        f[i][1] = 1
        for x in dd[i]:
            for k in range(1, d[x] + 1):
                f[i][k+1] = (f[i][k+1] + f[x][k]) % mod
        
        for j in range(1, min(d[i] + 1, n + 1)):
            ans = (ans + f[i][j] * C(m // i - 1, n - j)) % mod
    
    ans = (C(m, n) * n - ans + mod) % mod
    print(ans)

solve()

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 486ms
memory: 143920kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 464ms
memory: 143948kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 1302ms
memory: 167420kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 549ms
memory: 146140kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 1318ms
memory: 167472kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 1189ms
memory: 167396kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 1306ms
memory: 167504kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 476ms
memory: 143952kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 455ms
memory: 143932kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 483ms
memory: 143976kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 482ms
memory: 143936kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 497ms
memory: 143944kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 484ms
memory: 143936kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 509ms
memory: 144004kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 497ms
memory: 144268kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 533ms
memory: 143928kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 502ms
memory: 143900kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 1359ms
memory: 167500kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 750ms
memory: 151312kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 555ms
memory: 146332kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 494ms
memory: 143976kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 1400ms
memory: 167504kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 1331ms
memory: 167388kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 1316ms
memory: 167440kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 571ms
memory: 145856kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 1211ms
memory: 167504kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 1256ms
memory: 167504kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 1336ms
memory: 167416kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 1362ms
memory: 167504kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 586ms
memory: 146400kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 1420ms
memory: 167512kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 1346ms
memory: 167408kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 1329ms
memory: 167520kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 1292ms
memory: 167428kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 1296ms
memory: 167476kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 1238ms
memory: 166100kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 1261ms
memory: 165868kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 513ms
memory: 144020kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 477ms
memory: 143948kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 507ms
memory: 144008kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 483ms
memory: 143920kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 533ms
memory: 143940kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 499ms
memory: 143944kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 489ms
memory: 143956kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 485ms
memory: 143932kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 505ms
memory: 144012kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 1044ms
memory: 160036kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 978ms
memory: 158792kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 988ms
memory: 158736kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 1376ms
memory: 167428kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 1353ms
memory: 167428kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 1248ms
memory: 167444kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 1363ms
memory: 167516kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed