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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
#772614#9553. The Hermitsky10wAC ✓1331ms4508kbC++171.9kb2024-11-22 20:44:382024-11-22 20:44:39

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 20:44:39]
  • 评测
  • 测评结果:AC
  • 用时:1331ms
  • 内存:4508kb
  • [2024-11-22 20:44:38]
  • 提交

answer

#pragma GCC optimize(3)
#include <bits/stdc++.h>

#ifndef ONLINE_JUDGE
#include "../../dbg.h"
#else
#define dbg(...) (__VA_ARGS__)
#endif
#define IOS_FAST ios::sync_with_stdio(false), cin.tie(0);

using namespace std;

using ll = long long;
// #define int ll

constexpr int MOD = 998244353;
constexpr int MAXN = 1e5 + 10;
int nn[MAXN];
int rr[MAXN];

int mod(ll x) { return (x % MOD + MOD) % MOD; }

int qpow(int a, int b)
{
    int ans = 1;
    int res = mod(a);
    for (; b; b >>= 1)
    {
        if (b & 1)
        {
            ans = ((ll)res * (ll)ans) % MOD;
        }
        res = ((ll)res * (ll)res) % MOD;
    }
    return ans;
}

int getinv(int x)
{
    return qpow(x, MOD - 2);
}

void pre()
{
    nn[0] = 1;
    for (int i = 1; i < MAXN; ++i)
    {
        nn[i] = ((ll)nn[i - 1] * i) % MOD;
    }
    rr[MAXN - 1] = getinv(nn[MAXN - 1]);
    rr[0] = 1;
    for (int i = MAXN - 2; i >= 1; --i)
    {
        rr[i] = ((ll)rr[i + 1] * (i + 1)) % MOD;
    }
}

int getC(int u, int v)
{
    if (u < v) return 0;
    assert(u >= 0 && v >= 0);
    return ((ll)nn[u] * (ll)rr[v]) % MOD * rr[u - v] % MOD;
}

int ans;
void dfs(int num, int time, const int m, const int n)
{
    if (n <= time)
    {
        // cerr << num << ": " << 1 << '\n';
        ans = ((ll)ans + 1) % MOD;
        return;
    }
    for (int i = 2; i <= m; ++i)
    {
        if (num * i > m) break;
        const int cnt = (m / num - (num * i) / num);
        const int tmp = getC(cnt, n - time - 1);
        // cerr << num << ": " << tmp << '\n';
        ans = ((ll)ans + tmp) % MOD;
        dfs(num * i, time + 1, m, n);
    }
}

signed main()
{
    IOS_FAST;
    pre();
    int m, n;
    cin >> m >> n;
    ans = 0;

    for (int i = 1; i <= m; ++i)
    {
        dfs(i, 1, m, n);
    }
    // dbg(ans, m, n);
    ans = mod((ll)getC(m, n) * n - ans);
    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: 4488kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 4428kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 1253ms
memory: 4484kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 29ms
memory: 4488kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 1253ms
memory: 4368kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 2ms
memory: 4452kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 1331ms
memory: 4432kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 4372kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 2ms
memory: 4372kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 4376kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 4420kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 4444kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 1ms
memory: 4508kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 2ms
memory: 4372kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 3ms
memory: 4432kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 2ms
memory: 4448kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 2ms
memory: 4408kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 1270ms
memory: 4448kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 194ms
memory: 4368kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 36ms
memory: 4484kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 2ms
memory: 4452kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 1263ms
memory: 4504kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 1252ms
memory: 4376kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 1252ms
memory: 4488kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 25ms
memory: 4380kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 9ms
memory: 4368kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 45ms
memory: 4452kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 1254ms
memory: 4444kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 1253ms
memory: 4372kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 37ms
memory: 4456kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 1302ms
memory: 4376kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 1303ms
memory: 4456kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 1306ms
memory: 4368kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 1304ms
memory: 4352kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 1253ms
memory: 4504kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 1132ms
memory: 4376kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 1131ms
memory: 4452kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 2ms
memory: 4428kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 2ms
memory: 4456kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 4460kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 1ms
memory: 4436kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 4312kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 4368kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 1ms
memory: 4416kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 4488kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 4496kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 688ms
memory: 4364kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 627ms
memory: 4448kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 624ms
memory: 4420kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 1257ms
memory: 4428kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 1252ms
memory: 4332kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 6ms
memory: 4432kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 1252ms
memory: 4452kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed