답안 #493263

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
493263	2021-12-10T14:30:24 Z	blue	Toys (CEOI18_toy)	C++17	100 / 100	2579 ms	100416 KB

#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <cassert>
#include <set>
using namespace std;

#define sz(x) (int(x.size()))
using vi = vector<int>;
using ll = long long;

// map< int, vector<int> > res;

vi sf;

long long n;

set<int> res[40'000]; //i*i <= n
set<int> res2[40'000]; //i*i >= n, access n/i.

vi solved(1+40'000, 0);
vi solved2(1+40'000, 0);

vector<int> factors[40'000];
vector<int> factors2[40'000];

set<int>& get_res(long long u)
{
    if(u*u <= n) return res[u];
    else return res2[n/u];
}

vector<int>& get_factors(long long u)
{
    if(u*u <= n) return factors[u];
    else return factors2[n/u];
}

int& get_solved(long long u)
{
    if(u*u <= n) return solved[u];
    else return solved2[n/u];
}



void solve(long long i)
{
    get_res(i).insert(i-1);

    for(ll j: get_factors(i))
    {
        for(int k: get_res(j))
            get_res(i).insert(k + i/j - 1);

    }
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n;

    if(n == 1)
    {
        cout << "1\n 0\n";
        return 0;
    }



    for(int i = 2; i < n; i++)
    {
        // cerr << i << " " << n%i << ' ' << int(n%i == 0) << '\n';
        if(i*i > n) break;
        if(n % i == 0)
        {
            sf.push_back(i);
            sf.push_back(n/i);
        }
    }
    sf.push_back(n);

    sort(sf.begin(), sf.end());
    sf.erase(unique(sf.begin(), sf.end()), sf.end());

    // for(int q: sf) cerr << q << ' ';
    // cerr << '\n';

    for(int a: sf)
        for(int b: sf)
            if(a < b && b%a==0)
                get_factors(b).push_back(a);


    for(int a: sf) solve(a);
    set<int> ans = get_res(n);
    set<int> A;
  for(int a: ans) A.insert(a);

    cout << sz(A) << '\n';
    for(int r: A) cout << r << ' ';
    cout << '\n';
}

Subtask #1
19.0 / 19.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	6240 KB	Output is correct
2	Correct	3 ms	6220 KB	Output is correct
3	Correct	4 ms	6220 KB	Output is correct
4	Correct	4 ms	6220 KB	Output is correct
5	Correct	4 ms	6220 KB	Output is correct
6	Correct	5 ms	6220 KB	Output is correct
7	Correct	5 ms	6220 KB	Output is correct
8	Correct	3 ms	6220 KB	Output is correct
9	Correct	3 ms	6220 KB	Output is correct
10	Correct	3 ms	6220 KB	Output is correct
11	Correct	3 ms	6220 KB	Output is correct
12	Correct	4 ms	6220 KB	Output is correct
13	Correct	4 ms	6172 KB	Output is correct
14	Correct	3 ms	6220 KB	Output is correct
15	Correct	3 ms	6220 KB	Output is correct
16	Correct	3 ms	6220 KB	Output is correct
17	Correct	4 ms	6220 KB	Output is correct
18	Correct	4 ms	6176 KB	Output is correct
19	Correct	3 ms	6220 KB	Output is correct
20	Correct	3 ms	6220 KB	Output is correct
21	Correct	3 ms	6220 KB	Output is correct
22	Correct	4 ms	6220 KB	Output is correct
23	Correct	3 ms	6220 KB	Output is correct
24	Correct	3 ms	6220 KB	Output is correct
25	Correct	3 ms	6220 KB	Output is correct

Subtask #2
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	6240 KB	Output is correct
2	Correct	3 ms	6220 KB	Output is correct
3	Correct	4 ms	6220 KB	Output is correct
4	Correct	4 ms	6220 KB	Output is correct
5	Correct	4 ms	6220 KB	Output is correct
6	Correct	5 ms	6220 KB	Output is correct
7	Correct	5 ms	6220 KB	Output is correct
8	Correct	3 ms	6220 KB	Output is correct
9	Correct	3 ms	6220 KB	Output is correct
10	Correct	3 ms	6220 KB	Output is correct
11	Correct	3 ms	6220 KB	Output is correct
12	Correct	4 ms	6220 KB	Output is correct
13	Correct	4 ms	6172 KB	Output is correct
14	Correct	3 ms	6220 KB	Output is correct
15	Correct	3 ms	6220 KB	Output is correct
16	Correct	3 ms	6220 KB	Output is correct
17	Correct	4 ms	6220 KB	Output is correct
18	Correct	4 ms	6176 KB	Output is correct
19	Correct	3 ms	6220 KB	Output is correct
20	Correct	3 ms	6220 KB	Output is correct
21	Correct	3 ms	6220 KB	Output is correct
22	Correct	4 ms	6220 KB	Output is correct
23	Correct	3 ms	6220 KB	Output is correct
24	Correct	3 ms	6220 KB	Output is correct
25	Correct	3 ms	6220 KB	Output is correct
26	Correct	4 ms	6348 KB	Output is correct
27	Correct	4 ms	6348 KB	Output is correct
28	Correct	5 ms	6220 KB	Output is correct
29	Correct	3 ms	6220 KB	Output is correct
30	Correct	4 ms	6220 KB	Output is correct
31	Correct	4 ms	6348 KB	Output is correct
32	Correct	4 ms	6348 KB	Output is correct
33	Correct	4 ms	6348 KB	Output is correct
34	Correct	3 ms	6220 KB	Output is correct
35	Correct	3 ms	6220 KB	Output is correct
36	Correct	3 ms	6220 KB	Output is correct
37	Correct	3 ms	6220 KB	Output is correct
38	Correct	4 ms	6220 KB	Output is correct
39	Correct	4 ms	6220 KB	Output is correct
40	Correct	4 ms	6220 KB	Output is correct
41	Correct	3 ms	6220 KB	Output is correct
42	Correct	3 ms	6220 KB	Output is correct
43	Correct	4 ms	6232 KB	Output is correct
44	Correct	4 ms	6220 KB	Output is correct
45	Correct	3 ms	6220 KB	Output is correct
46	Correct	4 ms	6220 KB	Output is correct
47	Correct	4 ms	6220 KB	Output is correct
48	Correct	4 ms	6220 KB	Output is correct
49	Correct	4 ms	6220 KB	Output is correct

Subtask #3
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	6240 KB	Output is correct
2	Correct	3 ms	6220 KB	Output is correct
3	Correct	4 ms	6220 KB	Output is correct
4	Correct	4 ms	6220 KB	Output is correct
5	Correct	4 ms	6220 KB	Output is correct
6	Correct	5 ms	6220 KB	Output is correct
7	Correct	5 ms	6220 KB	Output is correct
8	Correct	3 ms	6220 KB	Output is correct
9	Correct	3 ms	6220 KB	Output is correct
10	Correct	3 ms	6220 KB	Output is correct
11	Correct	3 ms	6220 KB	Output is correct
12	Correct	4 ms	6220 KB	Output is correct
13	Correct	4 ms	6172 KB	Output is correct
14	Correct	3 ms	6220 KB	Output is correct
15	Correct	3 ms	6220 KB	Output is correct
16	Correct	3 ms	6220 KB	Output is correct
17	Correct	4 ms	6220 KB	Output is correct
18	Correct	4 ms	6176 KB	Output is correct
19	Correct	3 ms	6220 KB	Output is correct
20	Correct	3 ms	6220 KB	Output is correct
21	Correct	3 ms	6220 KB	Output is correct
22	Correct	4 ms	6220 KB	Output is correct
23	Correct	3 ms	6220 KB	Output is correct
24	Correct	3 ms	6220 KB	Output is correct
25	Correct	3 ms	6220 KB	Output is correct
26	Correct	4 ms	6348 KB	Output is correct
27	Correct	4 ms	6348 KB	Output is correct
28	Correct	5 ms	6220 KB	Output is correct
29	Correct	3 ms	6220 KB	Output is correct
30	Correct	4 ms	6220 KB	Output is correct
31	Correct	4 ms	6348 KB	Output is correct
32	Correct	4 ms	6348 KB	Output is correct
33	Correct	4 ms	6348 KB	Output is correct
34	Correct	3 ms	6220 KB	Output is correct
35	Correct	3 ms	6220 KB	Output is correct
36	Correct	3 ms	6220 KB	Output is correct
37	Correct	3 ms	6220 KB	Output is correct
38	Correct	4 ms	6220 KB	Output is correct
39	Correct	4 ms	6220 KB	Output is correct
40	Correct	4 ms	6220 KB	Output is correct
41	Correct	3 ms	6220 KB	Output is correct
42	Correct	3 ms	6220 KB	Output is correct
43	Correct	4 ms	6232 KB	Output is correct
44	Correct	4 ms	6220 KB	Output is correct
45	Correct	3 ms	6220 KB	Output is correct
46	Correct	4 ms	6220 KB	Output is correct
47	Correct	4 ms	6220 KB	Output is correct
48	Correct	4 ms	6220 KB	Output is correct
49	Correct	4 ms	6220 KB	Output is correct
50	Correct	8 ms	6604 KB	Output is correct
51	Correct	5 ms	6476 KB	Output is correct
52	Correct	6 ms	6476 KB	Output is correct
53	Correct	6 ms	6476 KB	Output is correct
54	Correct	4 ms	6376 KB	Output is correct
55	Correct	7 ms	6732 KB	Output is correct
56	Correct	8 ms	6608 KB	Output is correct
57	Correct	7 ms	6592 KB	Output is correct
58	Correct	4 ms	6220 KB	Output is correct
59	Correct	5 ms	6220 KB	Output is correct
60	Correct	4 ms	6220 KB	Output is correct
61	Correct	5 ms	6476 KB	Output is correct
62	Correct	4 ms	6348 KB	Output is correct
63	Correct	3 ms	6348 KB	Output is correct
64	Correct	4 ms	6220 KB	Output is correct
65	Correct	6 ms	6516 KB	Output is correct
66	Correct	3 ms	6220 KB	Output is correct
67	Correct	5 ms	6220 KB	Output is correct
68	Correct	4 ms	6220 KB	Output is correct
69	Correct	4 ms	6220 KB	Output is correct
70	Correct	4 ms	6348 KB	Output is correct

Subtask #4
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	6240 KB	Output is correct
2	Correct	3 ms	6220 KB	Output is correct
3	Correct	4 ms	6220 KB	Output is correct
4	Correct	4 ms	6220 KB	Output is correct
5	Correct	4 ms	6220 KB	Output is correct
6	Correct	5 ms	6220 KB	Output is correct
7	Correct	5 ms	6220 KB	Output is correct
8	Correct	3 ms	6220 KB	Output is correct
9	Correct	3 ms	6220 KB	Output is correct
10	Correct	3 ms	6220 KB	Output is correct
11	Correct	3 ms	6220 KB	Output is correct
12	Correct	4 ms	6220 KB	Output is correct
13	Correct	4 ms	6172 KB	Output is correct
14	Correct	3 ms	6220 KB	Output is correct
15	Correct	3 ms	6220 KB	Output is correct
16	Correct	3 ms	6220 KB	Output is correct
17	Correct	4 ms	6220 KB	Output is correct
18	Correct	4 ms	6176 KB	Output is correct
19	Correct	3 ms	6220 KB	Output is correct
20	Correct	3 ms	6220 KB	Output is correct
21	Correct	3 ms	6220 KB	Output is correct
22	Correct	4 ms	6220 KB	Output is correct
23	Correct	3 ms	6220 KB	Output is correct
24	Correct	3 ms	6220 KB	Output is correct
25	Correct	3 ms	6220 KB	Output is correct
26	Correct	4 ms	6348 KB	Output is correct
27	Correct	4 ms	6348 KB	Output is correct
28	Correct	5 ms	6220 KB	Output is correct
29	Correct	3 ms	6220 KB	Output is correct
30	Correct	4 ms	6220 KB	Output is correct
31	Correct	4 ms	6348 KB	Output is correct
32	Correct	4 ms	6348 KB	Output is correct
33	Correct	4 ms	6348 KB	Output is correct
34	Correct	3 ms	6220 KB	Output is correct
35	Correct	3 ms	6220 KB	Output is correct
36	Correct	3 ms	6220 KB	Output is correct
37	Correct	3 ms	6220 KB	Output is correct
38	Correct	4 ms	6220 KB	Output is correct
39	Correct	4 ms	6220 KB	Output is correct
40	Correct	4 ms	6220 KB	Output is correct
41	Correct	3 ms	6220 KB	Output is correct
42	Correct	3 ms	6220 KB	Output is correct
43	Correct	4 ms	6232 KB	Output is correct
44	Correct	4 ms	6220 KB	Output is correct
45	Correct	3 ms	6220 KB	Output is correct
46	Correct	4 ms	6220 KB	Output is correct
47	Correct	4 ms	6220 KB	Output is correct
48	Correct	4 ms	6220 KB	Output is correct
49	Correct	4 ms	6220 KB	Output is correct
50	Correct	8 ms	6604 KB	Output is correct
51	Correct	5 ms	6476 KB	Output is correct
52	Correct	6 ms	6476 KB	Output is correct
53	Correct	6 ms	6476 KB	Output is correct
54	Correct	4 ms	6376 KB	Output is correct
55	Correct	7 ms	6732 KB	Output is correct
56	Correct	8 ms	6608 KB	Output is correct
57	Correct	7 ms	6592 KB	Output is correct
58	Correct	4 ms	6220 KB	Output is correct
59	Correct	5 ms	6220 KB	Output is correct
60	Correct	4 ms	6220 KB	Output is correct
61	Correct	5 ms	6476 KB	Output is correct
62	Correct	4 ms	6348 KB	Output is correct
63	Correct	3 ms	6348 KB	Output is correct
64	Correct	4 ms	6220 KB	Output is correct
65	Correct	6 ms	6516 KB	Output is correct
66	Correct	3 ms	6220 KB	Output is correct
67	Correct	5 ms	6220 KB	Output is correct
68	Correct	4 ms	6220 KB	Output is correct
69	Correct	4 ms	6220 KB	Output is correct
70	Correct	4 ms	6348 KB	Output is correct
71	Correct	359 ms	26840 KB	Output is correct
72	Correct	257 ms	21952 KB	Output is correct
73	Correct	349 ms	24448 KB	Output is correct
74	Correct	196 ms	18500 KB	Output is correct
75	Correct	218 ms	19276 KB	Output is correct
76	Correct	578 ms	33608 KB	Output is correct
77	Correct	538 ms	30312 KB	Output is correct
78	Correct	449 ms	28944 KB	Output is correct
79	Correct	465 ms	28176 KB	Output is correct
80	Correct	3 ms	6220 KB	Output is correct
81	Correct	3 ms	6220 KB	Output is correct
82	Correct	6 ms	6732 KB	Output is correct
83	Correct	48 ms	10208 KB	Output is correct
84	Correct	70 ms	11056 KB	Output is correct
85	Correct	17 ms	7820 KB	Output is correct
86	Correct	3 ms	6220 KB	Output is correct
87	Correct	76 ms	11912 KB	Output is correct
88	Correct	4 ms	6220 KB	Output is correct
89	Correct	4 ms	6220 KB	Output is correct
90	Correct	6 ms	6220 KB	Output is correct
91	Correct	27 ms	8604 KB	Output is correct
92	Correct	104 ms	13824 KB	Output is correct

Subtask #5
21.0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	4 ms	6240 KB	Output is correct
2	Correct	3 ms	6220 KB	Output is correct
3	Correct	4 ms	6220 KB	Output is correct
4	Correct	4 ms	6220 KB	Output is correct
5	Correct	4 ms	6220 KB	Output is correct
6	Correct	5 ms	6220 KB	Output is correct
7	Correct	5 ms	6220 KB	Output is correct
8	Correct	3 ms	6220 KB	Output is correct
9	Correct	3 ms	6220 KB	Output is correct
10	Correct	3 ms	6220 KB	Output is correct
11	Correct	3 ms	6220 KB	Output is correct
12	Correct	4 ms	6220 KB	Output is correct
13	Correct	4 ms	6172 KB	Output is correct
14	Correct	3 ms	6220 KB	Output is correct
15	Correct	3 ms	6220 KB	Output is correct
16	Correct	3 ms	6220 KB	Output is correct
17	Correct	4 ms	6220 KB	Output is correct
18	Correct	4 ms	6176 KB	Output is correct
19	Correct	3 ms	6220 KB	Output is correct
20	Correct	3 ms	6220 KB	Output is correct
21	Correct	3 ms	6220 KB	Output is correct
22	Correct	4 ms	6220 KB	Output is correct
23	Correct	3 ms	6220 KB	Output is correct
24	Correct	3 ms	6220 KB	Output is correct
25	Correct	3 ms	6220 KB	Output is correct
26	Correct	4 ms	6348 KB	Output is correct
27	Correct	4 ms	6348 KB	Output is correct
28	Correct	5 ms	6220 KB	Output is correct
29	Correct	3 ms	6220 KB	Output is correct
30	Correct	4 ms	6220 KB	Output is correct
31	Correct	4 ms	6348 KB	Output is correct
32	Correct	4 ms	6348 KB	Output is correct
33	Correct	4 ms	6348 KB	Output is correct
34	Correct	3 ms	6220 KB	Output is correct
35	Correct	3 ms	6220 KB	Output is correct
36	Correct	3 ms	6220 KB	Output is correct
37	Correct	3 ms	6220 KB	Output is correct
38	Correct	4 ms	6220 KB	Output is correct
39	Correct	4 ms	6220 KB	Output is correct
40	Correct	4 ms	6220 KB	Output is correct
41	Correct	3 ms	6220 KB	Output is correct
42	Correct	3 ms	6220 KB	Output is correct
43	Correct	4 ms	6232 KB	Output is correct
44	Correct	4 ms	6220 KB	Output is correct
45	Correct	3 ms	6220 KB	Output is correct
46	Correct	4 ms	6220 KB	Output is correct
47	Correct	4 ms	6220 KB	Output is correct
48	Correct	4 ms	6220 KB	Output is correct
49	Correct	4 ms	6220 KB	Output is correct
50	Correct	8 ms	6604 KB	Output is correct
51	Correct	5 ms	6476 KB	Output is correct
52	Correct	6 ms	6476 KB	Output is correct
53	Correct	6 ms	6476 KB	Output is correct
54	Correct	4 ms	6376 KB	Output is correct
55	Correct	7 ms	6732 KB	Output is correct
56	Correct	8 ms	6608 KB	Output is correct
57	Correct	7 ms	6592 KB	Output is correct
58	Correct	4 ms	6220 KB	Output is correct
59	Correct	5 ms	6220 KB	Output is correct
60	Correct	4 ms	6220 KB	Output is correct
61	Correct	5 ms	6476 KB	Output is correct
62	Correct	4 ms	6348 KB	Output is correct
63	Correct	3 ms	6348 KB	Output is correct
64	Correct	4 ms	6220 KB	Output is correct
65	Correct	6 ms	6516 KB	Output is correct
66	Correct	3 ms	6220 KB	Output is correct
67	Correct	5 ms	6220 KB	Output is correct
68	Correct	4 ms	6220 KB	Output is correct
69	Correct	4 ms	6220 KB	Output is correct
70	Correct	4 ms	6348 KB	Output is correct
71	Correct	359 ms	26840 KB	Output is correct
72	Correct	257 ms	21952 KB	Output is correct
73	Correct	349 ms	24448 KB	Output is correct
74	Correct	196 ms	18500 KB	Output is correct
75	Correct	218 ms	19276 KB	Output is correct
76	Correct	578 ms	33608 KB	Output is correct
77	Correct	538 ms	30312 KB	Output is correct
78	Correct	449 ms	28944 KB	Output is correct
79	Correct	465 ms	28176 KB	Output is correct
80	Correct	3 ms	6220 KB	Output is correct
81	Correct	3 ms	6220 KB	Output is correct
82	Correct	6 ms	6732 KB	Output is correct
83	Correct	48 ms	10208 KB	Output is correct
84	Correct	70 ms	11056 KB	Output is correct
85	Correct	17 ms	7820 KB	Output is correct
86	Correct	3 ms	6220 KB	Output is correct
87	Correct	76 ms	11912 KB	Output is correct
88	Correct	4 ms	6220 KB	Output is correct
89	Correct	4 ms	6220 KB	Output is correct
90	Correct	6 ms	6220 KB	Output is correct
91	Correct	27 ms	8604 KB	Output is correct
92	Correct	104 ms	13824 KB	Output is correct
93	Correct	2212 ms	90640 KB	Output is correct
94	Correct	1248 ms	63896 KB	Output is correct
95	Correct	1381 ms	66388 KB	Output is correct
96	Correct	1176 ms	59792 KB	Output is correct
97	Correct	1150 ms	55016 KB	Output is correct
98	Correct	2475 ms	99060 KB	Output is correct
99	Correct	2579 ms	100416 KB	Output is correct
100	Correct	2281 ms	97052 KB	Output is correct
101	Correct	2280 ms	90316 KB	Output is correct
102	Correct	1827 ms	82064 KB	Output is correct
103	Correct	1559 ms	74576 KB	Output is correct
104	Correct	3 ms	6220 KB	Output is correct
105	Correct	4 ms	6220 KB	Output is correct
106	Correct	8 ms	6988 KB	Output is correct
107	Correct	148 ms	17092 KB	Output is correct
108	Correct	421 ms	29204 KB	Output is correct
109	Correct	35 ms	9796 KB	Output is correct
110	Correct	3 ms	6220 KB	Output is correct
111	Correct	202 ms	19984 KB	Output is correct
112	Correct	4 ms	6220 KB	Output is correct
113	Correct	3 ms	6220 KB	Output is correct
114	Correct	8 ms	7116 KB	Output is correct
115	Correct	4 ms	6220 KB	Output is correct
116	Correct	14 ms	8036 KB	Output is correct
117	Correct	411 ms	34164 KB	Output is correct

답안 #493263

Compilation message

Subtask #1 19.0 / 19.0

Subtask #2 20.0 / 20.0

Subtask #3 20.0 / 20.0

Subtask #4 20.0 / 20.0

Subtask #5 21.0 / 21.0

Subtask #1
19.0 / 19.0

Subtask #2
20.0 / 20.0

Subtask #3
20.0 / 20.0

Subtask #4
20.0 / 20.0

Subtask #5
21.0 / 21.0