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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#759147#9553. The HermitguggAC ✓552ms32812kbC++202.9kb2024-11-17 22:06:242024-11-18 19:52:12

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:52:12]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:552ms
  • 内存:32812kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-17 22:06:24]
  • 评测
  • 测评结果:100
  • 用时:510ms
  • 内存:32868kb
  • [2024-11-17 22:06:24]
  • 提交

answer

#include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <cmath>
#include <bitset>
#include <cassert>
#include <numeric>

using namespace std;
typedef long long ll;

const int N = 100010, logn = 18;
constexpr int mod = 998244353;

int n, m;
ll fact[N], infact[N];
ll f[N][logn];
ll h[N][logn];
vector<int> factor[N];
vector<int> d;

ll qmi(ll m, ll k, ll p)
{
    ll res = 1 % p, t = m;
    while (k)
    {
        if (k & 1) res = res * t % p;
        t = t * t % p;
        k >>= 1;
    }
    return res;
}

ll inv(ll a)
{
    return qmi(a, mod - 2, mod);
}
 
ll c(int a, int b)
{
    if (a < b) return 0;
    return fact[a] * infact[b] % mod * infact[a - b] % mod;
}

void init()
{
    fact[0] = infact[0] = 1;
    for (int i = 1; i < N; i ++)
        fact[i] = fact[i - 1] * i % mod;
    infact[N - 1] = inv(fact[N - 1]);
    for (int i = N - 2; i >= 1; i --)
        infact[i] = infact[i + 1] * (i + 1) % mod;
}

void solve()
{
    init();
    cin >> n >> m;
    for (int i = 1; i <= n; i ++)
        f[i][1] = 1;
    
    for (int i = 1; i <= n; i ++)
    {
        for (int j = 2; j < logn; j ++)
        {
            for (int x : factor[i])
            {
                if (x == i) continue;
                f[i][j] += f[x][j - 1];
                f[i][j] %= mod;
            }
        }
    }

    for (int l = 1; l <= n; l ++)
    {
        int x = n / l, r = n / x;
        d.push_back(x);
        l = r;
    }

    for (auto x : d)
    {
        for (int k = max(1, m - logn + 1); k <= m; k ++)
        {
            ll g[x + 10] = {0};
            for (int i = x; i >= 1; i --)
            {
                g[i] += c(x / i, k);
                g[i] %= mod;
                for (auto f : factor[i])
                    if (f != i) g[f] -= g[i], g[f] = ((g[f] % mod) + mod) % mod;
            }

            for (int i = 1; i <= x; i ++)
            {
                h[x][m - k] += (((g[i] - c(x / i - 1, k - 1)) % mod) + mod) % mod;  
                // if (i == 1 && x == n && k == 2) cout << h[x][m - k] << '\n';
                h[x][m - k] %= mod;
            }
        }
    }

    ll ans = h[n][0] * m % mod;
    for (int i = 1; i <= n; i ++)
    {
        for (int j = 1; j < logn; j ++)
        {
            ans += f[i][j] * h[n / i][j] % mod * (m - j) % mod;
            // if (f[i][j] && h[n / i][j]) cout << i << ' ' << j << ' ' << f[i][j] * h[n / i][j] << '\n';
            ans %= mod;
        }
    }

    cout << ans << '\n';
}

int main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    for (int i = 1; i < N; i ++)
        for (int j = i; j < N; j += i)
            factor[j].push_back(i);
    
    int tt = 1;
    // cin >> tt;
    while (tt --)
    {
        solve();
    }
    return 0;
}

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: 21ms
memory: 19432kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 30ms
memory: 17648kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 534ms
memory: 31944kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 65ms
memory: 21412kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 531ms
memory: 31172kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 134ms
memory: 31960kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 481ms
memory: 32192kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 28ms
memory: 17524kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 27ms
memory: 18032kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 31ms
memory: 18164kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 22ms
memory: 17596kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 31ms
memory: 18684kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 28ms
memory: 18004kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 32ms
memory: 18132kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 34ms
memory: 18432kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 32ms
memory: 18592kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 25ms
memory: 21284kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 515ms
memory: 31884kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 165ms
memory: 22288kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 61ms
memory: 21416kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 32ms
memory: 19364kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 528ms
memory: 32308kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 538ms
memory: 32348kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 518ms
memory: 32176kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 53ms
memory: 21312kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 165ms
memory: 31576kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 188ms
memory: 31536kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 507ms
memory: 32424kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 546ms
memory: 32380kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 63ms
memory: 20512kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 545ms
memory: 31432kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 499ms
memory: 31688kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 530ms
memory: 32812kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 552ms
memory: 31352kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 484ms
memory: 32476kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 481ms
memory: 31084kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 495ms
memory: 32368kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 27ms
memory: 17580kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 29ms
memory: 18216kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 30ms
memory: 17600kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 27ms
memory: 19464kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 31ms
memory: 18096kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 26ms
memory: 19164kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 24ms
memory: 18676kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 30ms
memory: 18804kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 30ms
memory: 19256kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 346ms
memory: 28712kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 318ms
memory: 26676kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 309ms
memory: 30264kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 520ms
memory: 32024kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 548ms
memory: 32568kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 161ms
memory: 31172kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 530ms
memory: 31932kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed