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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#128753#6740. Functionckiseki#AC ✓370ms5776kbC++201.5kb2023-07-21 15:33:112023-07-21 15:47:26

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-21 15:47:26]
  • 评测
  • 测评结果:AC
  • 用时:370ms
  • 内存:5776kb
  • [2023-07-21 15:33:11]
  • 提交

answer

#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;

#define all(x) begin(x), end(x)
#ifdef CKISEKI
#define safe cerr << __PRETTY_FUNCTION__ << " line " << __LINE__ << " safe\n"
#define debug(a...) debug_(#a, a)
#define orange(a...) orange_(#a, a)
template <typename ...T>
void debug_(const char *s, T ...a) {
    cerr << "\e[1;32m(" << s << ") = (";
    int cnt = sizeof...(T);
    (..., (cerr << a << (--cnt ? ", " : ")\e[0m\n")));
}
template <typename I>
void orange_(const char *s, I L, I R) {
    cerr << "\e[1;32m[ " << s << " ] = [";
    while (L != R) cerr << " " << *L++;
    cerr << " ]\e[0m\n";
}
#else
#define safe ((void)0)
#define debug(...) safe
#define orange(...) safe
#endif

const int mod = 998244353;
int add(int a, int b) {
    return a + b >= mod ? a + b - mod : a + b;
}
int mul(int64_t a, int64_t b) {
    return static_cast<int>(a * b % mod);
}

const int L = 2, R = 20210926;
int g(int n) {
    static unordered_map<int,int> mp;
    if (n <= 0)
        return 0;
    if (auto it = mp.find(n); it != mp.end()) {
        return it->second;
    }

    int ans = 1;
    for (int i = 1, j, s; i <= n; i = j) {
        s = n / i;
        j = n / s + 1;
        // [i, j)
        int l = max(L, i);
        int r = min(R+1, j);
        if (l < r) {
            ans = add(ans, mul(r - l, g(s)));
        }
    }
    return mp[n] = ans;
}

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int n;
    cin >> n;
    cout << g(n) << '\n';

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3456kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3472kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3532kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 9ms
memory: 3772kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 60ms
memory: 4076kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 369ms
memory: 5776kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 369ms
memory: 5708kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 365ms
memory: 5740kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 370ms
memory: 5680kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 351ms
memory: 5748kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 366ms
memory: 5720kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 362ms
memory: 5744kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 367ms
memory: 5732kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 367ms
memory: 5708kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 335ms
memory: 5704kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 4ms
memory: 3560kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 10ms
memory: 3748kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 11ms
memory: 3684kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 10ms
memory: 3692kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 6ms
memory: 3672kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 9ms
memory: 3760kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"