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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
#769989#9553. The Hermitheige#AC ✓81ms33556kbC++141.6kb2024-11-21 20:11:142024-11-21 20:11:14

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 20:11:14]
  • 评测
  • 测评结果:AC
  • 用时:81ms
  • 内存:33556kb
  • [2024-11-21 20:11:14]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
const int kMaxN = 100005, kMod = 998244353;
int n, m;
int fac[kMaxN], ifac[kMaxN];
std::vector<int> d[kMaxN], f[kMaxN];
int res, ans;
int qpow(int a, int b) {
    int res = 1;
    while (b) {
        if (b & 1) res = res * a % kMod;
        a = a * a % kMod; b >>= 1;
    }
    return res;
}
int C(int n, int m) {
    if (m < 0 || m > n) return 0;
    return fac[n] * ifac[m] % kMod * ifac[n - m] % kMod;
}
void inc(int &x, int y) { x = (x + y) % kMod; }
void dec(int &x, int y) { x = (x + kMod - y) % kMod; }
void init(int n) {
    fac[0] = ifac[0] = 1;
    for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % kMod, ifac[i] = ifac[i - 1] * qpow(i, kMod - 2) % kMod;
    for (int i = 1; i <= n; ++i) {
        for (int j = 2 * i; j <= n; j += i)
            d[j].emplace_back(i);
    }
}
signed main() {
    // freopen("in.txt", "r", stdin);
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    cin >> n >> m; init(n);
    int ans = C(n, m) * m % kMod;
    for (int i = 1; i <= n; ++i) {
        f[i].resize(d[i].size() + 2);
        f[i][1] = 1;
        for (auto j : d[i]) {
            for (int k = 1; k < f[j].size(); ++k)
                inc(f[i][k + 1], f[j][k]);
        }
        for (int j = 1; j <= std::min((int)f[i].size() - 1, m); ++j) {
            dec(ans, 1ll * f[i][j] * C(n / i - 1, m - j) % kMod);
            // std::cerr << i << ' ' << j << ' ' << f[i][j] << '\n';
        }
        // std::cerr << i << ' ' << ans << '\n';
    }
    std::cout << ans << '\n';
    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: 2ms
memory: 8424kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 8776kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 71ms
memory: 33428kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 7ms
memory: 10996kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 64ms
memory: 33424kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 72ms
memory: 33472kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 63ms
memory: 33496kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 9712kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 2ms
memory: 8612kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 2ms
memory: 8800kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 8368kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 2ms
memory: 9292kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 2ms
memory: 8844kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 2ms
memory: 8944kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 3ms
memory: 9804kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 8960kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 8492kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 65ms
memory: 33420kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 17ms
memory: 16536kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 5ms
memory: 11028kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 8712kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 74ms
memory: 33556kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 71ms
memory: 33484kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 72ms
memory: 33484kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 7ms
memory: 10844kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 77ms
memory: 33492kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 68ms
memory: 33544kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 69ms
memory: 33424kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 72ms
memory: 33428kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 9ms
memory: 11376kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 67ms
memory: 33556kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 79ms
memory: 33536kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 75ms
memory: 33500kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 72ms
memory: 33500kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 66ms
memory: 33472kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 72ms
memory: 32064kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 71ms
memory: 31928kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 0ms
memory: 8560kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 1ms
memory: 8640kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 2ms
memory: 8500kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 2ms
memory: 9780kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 8292kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 8348kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 1ms
memory: 8636kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 8288kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 8836kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 45ms
memory: 25816kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 38ms
memory: 24288kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 44ms
memory: 24284kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 81ms
memory: 33440kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 67ms
memory: 33456kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 59ms
memory: 33508kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 73ms
memory: 33480kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed