Submission #493263

# Submission time Handle Problem Language Result Execution time Memory
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';
}
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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