QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#772314#9553. The HermitMartian148AC ✓111ms31756kbC++201.5kb2024-11-22 18:37:512024-11-22 18:37:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 18:37:52]
  • 评测
  • 测评结果:AC
  • 用时:111ms
  • 内存:31756kb
  • [2024-11-22 18:37:51]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr ll TT = 998244353;

ll qpow(ll a, ll b) {
    ll res = 1;
    while (b) {
        if (b & 1) res = res * a % TT;
        a = a * a % TT;
        b >>= 1;
    }
    return res;
}

int main() {
    int n, m; cin >> m >> n;

    vector<ll> Fac(m + 1, 1), Inv(m + 1, 1);
    for (int i = 1; i <= m; i++) Fac[i] = Fac[i - 1] * i % TT;
    Inv[m] = qpow(Fac[m], TT - 2);
    for (int i = m - 1; i >= 0; i--) Inv[i] = Inv[i + 1] * (i + 1) % TT;

    auto C = [&] (int a, int b) -> ll {
        if (a < b) return 0ll;
        return Fac[a] * Inv[b] % TT * Inv[a - b] % TT;
    };

    ll ans = 0, all = C(m, n) * n % TT;
    
    vector dp(21, vector<ll>(m + 1, 0)); // dp[c][x] 表示长度为 c 的序列,最后一个是 x 的方案数

    vector<vector<int>> prime(m + 1);
    for (int i = 1; i <= m; i++)
        for (int j = i * 2; j <= m; j += i) 
            prime[j].push_back(i);
    
    for (int i = 1; i <= m; i++) dp[1][i] = 1;
    for (int c = 2; c <= 20; c++) {
        for (int x = 1; x <= m; x++) {
            for (auto y : prime[x]) {
                dp[c][x] = (dp[c][x] + dp[c - 1][y]) % TT;
            }
        }
    }
    
    for (int i = 1; i <= m; i++) {
        for (int j = 1; j <= min(n, 20); j++) {
            ll now = dp[j][i] * C(m / i - 1, n - j) % TT;
            ans = (ans + now) % TT;
        }
    }

    cout << ((all - ans) % TT + TT) % TT << endl;
    return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3636kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 111ms
memory: 31572kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 6ms
memory: 6420kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 107ms
memory: 31736kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 98ms
memory: 31556kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 101ms
memory: 31664kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 4160kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3840kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 103ms
memory: 31644kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 30ms
memory: 12964kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 9ms
memory: 6696kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 94ms
memory: 31756kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 108ms
memory: 31644kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 96ms
memory: 31568kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 7ms
memory: 6344kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 102ms
memory: 31696kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 98ms
memory: 31496kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 102ms
memory: 31520kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 103ms
memory: 31648kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 11ms
memory: 6868kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 105ms
memory: 31692kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 108ms
memory: 31740kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 99ms
memory: 31588kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 105ms
memory: 31580kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 103ms
memory: 31584kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 104ms
memory: 29844kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 94ms
memory: 29808kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 72ms
memory: 23340kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 61ms
memory: 21664kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 62ms
memory: 21744kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 105ms
memory: 31752kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 111ms
memory: 31524kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 102ms
memory: 31744kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 102ms
memory: 31584kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed