Submission #493240

# Submission time Handle Problem Language Result Execution time Memory
493240 2021-12-10T13:31:08 Z blue Toys (CEOI18_toy) C++17
79 / 100
2033 ms 68004 KB
#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#include <map>
#include <cassert>
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;

vector<int> res[40'000]; //i*i <= n
vector<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];

vector<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)
{
    if(get_solved(i)) return;
    else get_solved(i) = 1;

    vi ans(1, i-1);

    for(ll j: get_factors(i))
    {
        // cerr << "j = " << j << '\n';
        if(j >= i || j*j > i) break;
            // cerr << i << " -> " << j << '\n';
        long long u = j;
        long long v = i/j;
        solve(u);
        solve(v);
        for(int a: get_res(u))
        {
            for(int b: get_res(v))
            {
                // if(b > a) break;
                ans.push_back(a+b);
            }
        }

    }
    sort(ans.begin(), ans.end());
    ans.erase(unique(ans.begin(), ans.end()), ans.end());

    // for(int a: ans) cerr << "a = " << a << '\n';


    get_res(i) = ans;
}

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

    cin >> n;
    assert(n <= 7'0000'0000);

    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);
        }
    }

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


    solve(n);
    vi ans = res2[1];

    // cerr << "sf init = " ;
    // for(int q: sf) cerr << q << " ";
    // cerr << "\n";


    cout << sz(ans) << '\n';
    for(int r: ans) cout << r << ' ';
    cout << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 2 ms 4300 KB Output is correct
3 Correct 3 ms 4300 KB Output is correct
4 Correct 3 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 3 ms 4300 KB Output is correct
7 Correct 3 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 3 ms 4300 KB Output is correct
10 Correct 3 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 3 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 3 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 2 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 3 ms 4352 KB Output is correct
23 Correct 3 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 2 ms 4300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 2 ms 4300 KB Output is correct
3 Correct 3 ms 4300 KB Output is correct
4 Correct 3 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 3 ms 4300 KB Output is correct
7 Correct 3 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 3 ms 4300 KB Output is correct
10 Correct 3 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 3 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 3 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 2 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 3 ms 4352 KB Output is correct
23 Correct 3 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 2 ms 4300 KB Output is correct
26 Correct 3 ms 4428 KB Output is correct
27 Correct 2 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 3 ms 4300 KB Output is correct
31 Correct 3 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 2 ms 4300 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 2 ms 4300 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 3 ms 4300 KB Output is correct
42 Correct 3 ms 4300 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 3 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 2 ms 4300 KB Output is correct
3 Correct 3 ms 4300 KB Output is correct
4 Correct 3 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 3 ms 4300 KB Output is correct
7 Correct 3 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 3 ms 4300 KB Output is correct
10 Correct 3 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 3 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 3 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 2 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 3 ms 4352 KB Output is correct
23 Correct 3 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 2 ms 4300 KB Output is correct
26 Correct 3 ms 4428 KB Output is correct
27 Correct 2 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 3 ms 4300 KB Output is correct
31 Correct 3 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 2 ms 4300 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 2 ms 4300 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 3 ms 4300 KB Output is correct
42 Correct 3 ms 4300 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 3 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4300 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 5 ms 4556 KB Output is correct
52 Correct 6 ms 4556 KB Output is correct
53 Correct 6 ms 4496 KB Output is correct
54 Correct 4 ms 4364 KB Output is correct
55 Correct 9 ms 4700 KB Output is correct
56 Correct 8 ms 4616 KB Output is correct
57 Correct 7 ms 4556 KB Output is correct
58 Correct 2 ms 4300 KB Output is correct
59 Correct 3 ms 4300 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 5 ms 4556 KB Output is correct
62 Correct 5 ms 4428 KB Output is correct
63 Correct 3 ms 4428 KB Output is correct
64 Correct 3 ms 4300 KB Output is correct
65 Correct 4 ms 4428 KB Output is correct
66 Correct 2 ms 4300 KB Output is correct
67 Correct 2 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 3 ms 4296 KB Output is correct
70 Correct 3 ms 4348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 2 ms 4300 KB Output is correct
3 Correct 3 ms 4300 KB Output is correct
4 Correct 3 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 3 ms 4300 KB Output is correct
7 Correct 3 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 3 ms 4300 KB Output is correct
10 Correct 3 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 3 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 3 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 2 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 3 ms 4352 KB Output is correct
23 Correct 3 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 2 ms 4300 KB Output is correct
26 Correct 3 ms 4428 KB Output is correct
27 Correct 2 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 3 ms 4300 KB Output is correct
31 Correct 3 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 2 ms 4300 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 2 ms 4300 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 3 ms 4300 KB Output is correct
42 Correct 3 ms 4300 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 3 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4300 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 5 ms 4556 KB Output is correct
52 Correct 6 ms 4556 KB Output is correct
53 Correct 6 ms 4496 KB Output is correct
54 Correct 4 ms 4364 KB Output is correct
55 Correct 9 ms 4700 KB Output is correct
56 Correct 8 ms 4616 KB Output is correct
57 Correct 7 ms 4556 KB Output is correct
58 Correct 2 ms 4300 KB Output is correct
59 Correct 3 ms 4300 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 5 ms 4556 KB Output is correct
62 Correct 5 ms 4428 KB Output is correct
63 Correct 3 ms 4428 KB Output is correct
64 Correct 3 ms 4300 KB Output is correct
65 Correct 4 ms 4428 KB Output is correct
66 Correct 2 ms 4300 KB Output is correct
67 Correct 2 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 3 ms 4296 KB Output is correct
70 Correct 3 ms 4348 KB Output is correct
71 Correct 935 ms 36520 KB Output is correct
72 Correct 542 ms 30088 KB Output is correct
73 Correct 1022 ms 37120 KB Output is correct
74 Correct 380 ms 19776 KB Output is correct
75 Correct 547 ms 30272 KB Output is correct
76 Correct 1920 ms 67180 KB Output is correct
77 Correct 2033 ms 68004 KB Output is correct
78 Correct 1421 ms 60472 KB Output is correct
79 Correct 1521 ms 61744 KB Output is correct
80 Correct 3 ms 4300 KB Output is correct
81 Correct 3 ms 4300 KB Output is correct
82 Correct 12 ms 4840 KB Output is correct
83 Correct 211 ms 10784 KB Output is correct
84 Correct 166 ms 11652 KB Output is correct
85 Correct 33 ms 5920 KB Output is correct
86 Correct 2 ms 4300 KB Output is correct
87 Correct 191 ms 10820 KB Output is correct
88 Correct 2 ms 4300 KB Output is correct
89 Correct 3 ms 4300 KB Output is correct
90 Correct 2 ms 4300 KB Output is correct
91 Correct 23 ms 5244 KB Output is correct
92 Correct 109 ms 11084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 2 ms 4300 KB Output is correct
3 Correct 3 ms 4300 KB Output is correct
4 Correct 3 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 3 ms 4300 KB Output is correct
7 Correct 3 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 3 ms 4300 KB Output is correct
10 Correct 3 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 3 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 3 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 2 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 3 ms 4352 KB Output is correct
23 Correct 3 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 2 ms 4300 KB Output is correct
26 Correct 3 ms 4428 KB Output is correct
27 Correct 2 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 3 ms 4300 KB Output is correct
31 Correct 3 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 2 ms 4300 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 2 ms 4300 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 3 ms 4300 KB Output is correct
42 Correct 3 ms 4300 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 3 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4300 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 5 ms 4556 KB Output is correct
52 Correct 6 ms 4556 KB Output is correct
53 Correct 6 ms 4496 KB Output is correct
54 Correct 4 ms 4364 KB Output is correct
55 Correct 9 ms 4700 KB Output is correct
56 Correct 8 ms 4616 KB Output is correct
57 Correct 7 ms 4556 KB Output is correct
58 Correct 2 ms 4300 KB Output is correct
59 Correct 3 ms 4300 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 5 ms 4556 KB Output is correct
62 Correct 5 ms 4428 KB Output is correct
63 Correct 3 ms 4428 KB Output is correct
64 Correct 3 ms 4300 KB Output is correct
65 Correct 4 ms 4428 KB Output is correct
66 Correct 2 ms 4300 KB Output is correct
67 Correct 2 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 3 ms 4296 KB Output is correct
70 Correct 3 ms 4348 KB Output is correct
71 Correct 935 ms 36520 KB Output is correct
72 Correct 542 ms 30088 KB Output is correct
73 Correct 1022 ms 37120 KB Output is correct
74 Correct 380 ms 19776 KB Output is correct
75 Correct 547 ms 30272 KB Output is correct
76 Correct 1920 ms 67180 KB Output is correct
77 Correct 2033 ms 68004 KB Output is correct
78 Correct 1421 ms 60472 KB Output is correct
79 Correct 1521 ms 61744 KB Output is correct
80 Correct 3 ms 4300 KB Output is correct
81 Correct 3 ms 4300 KB Output is correct
82 Correct 12 ms 4840 KB Output is correct
83 Correct 211 ms 10784 KB Output is correct
84 Correct 166 ms 11652 KB Output is correct
85 Correct 33 ms 5920 KB Output is correct
86 Correct 2 ms 4300 KB Output is correct
87 Correct 191 ms 10820 KB Output is correct
88 Correct 2 ms 4300 KB Output is correct
89 Correct 3 ms 4300 KB Output is correct
90 Correct 2 ms 4300 KB Output is correct
91 Correct 23 ms 5244 KB Output is correct
92 Correct 109 ms 11084 KB Output is correct
93 Runtime error 6 ms 8652 KB Execution killed with signal 6
94 Halted 0 ms 0 KB -