Submission #493241

# Submission time Handle Problem Language Result Execution time Memory
493241 2021-12-10T13:31:57 Z blue Toys (CEOI18_toy) C++17
79 / 100
5000 ms 74728 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 <= 9'0000'0000);

    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 2 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 2 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 4 ms 4300 KB Output is correct
8 Correct 3 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 3 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 2 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 4 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 2 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 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 2 ms 4300 KB Output is correct
25 Correct 2 ms 4300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 4 ms 4300 KB Output is correct
8 Correct 3 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 3 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 2 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 4 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 2 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 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 2 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 3 ms 4428 KB Output is correct
28 Correct 3 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 2 ms 4300 KB Output is correct
31 Correct 5 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 5 ms 4480 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 4 ms 4372 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 3 ms 4300 KB Output is correct
39 Correct 2 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 2 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 2 ms 4300 KB Output is correct
45 Correct 4 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 2 ms 4300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 4 ms 4300 KB Output is correct
8 Correct 3 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 3 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 2 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 4 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 2 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 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 2 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 3 ms 4428 KB Output is correct
28 Correct 3 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 2 ms 4300 KB Output is correct
31 Correct 5 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 5 ms 4480 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 4 ms 4372 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 3 ms 4300 KB Output is correct
39 Correct 2 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 2 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 2 ms 4300 KB Output is correct
45 Correct 4 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 2 ms 4300 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 7 ms 4556 KB Output is correct
52 Correct 8 ms 4528 KB Output is correct
53 Correct 5 ms 4556 KB Output is correct
54 Correct 3 ms 4396 KB Output is correct
55 Correct 7 ms 4684 KB Output is correct
56 Correct 7 ms 4700 KB Output is correct
57 Correct 6 ms 4556 KB Output is correct
58 Correct 3 ms 4300 KB Output is correct
59 Correct 2 ms 4300 KB Output is correct
60 Correct 4 ms 4428 KB Output is correct
61 Correct 5 ms 4428 KB Output is correct
62 Correct 3 ms 4428 KB Output is correct
63 Correct 2 ms 4428 KB Output is correct
64 Correct 2 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 3 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 3 ms 4300 KB Output is correct
70 Correct 4 ms 4428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 4 ms 4300 KB Output is correct
8 Correct 3 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 3 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 2 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 4 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 2 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 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 2 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 3 ms 4428 KB Output is correct
28 Correct 3 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 2 ms 4300 KB Output is correct
31 Correct 5 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 5 ms 4480 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 4 ms 4372 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 3 ms 4300 KB Output is correct
39 Correct 2 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 2 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 2 ms 4300 KB Output is correct
45 Correct 4 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 2 ms 4300 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 7 ms 4556 KB Output is correct
52 Correct 8 ms 4528 KB Output is correct
53 Correct 5 ms 4556 KB Output is correct
54 Correct 3 ms 4396 KB Output is correct
55 Correct 7 ms 4684 KB Output is correct
56 Correct 7 ms 4700 KB Output is correct
57 Correct 6 ms 4556 KB Output is correct
58 Correct 3 ms 4300 KB Output is correct
59 Correct 2 ms 4300 KB Output is correct
60 Correct 4 ms 4428 KB Output is correct
61 Correct 5 ms 4428 KB Output is correct
62 Correct 3 ms 4428 KB Output is correct
63 Correct 2 ms 4428 KB Output is correct
64 Correct 2 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 3 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 3 ms 4300 KB Output is correct
70 Correct 4 ms 4428 KB Output is correct
71 Correct 891 ms 36596 KB Output is correct
72 Correct 525 ms 30184 KB Output is correct
73 Correct 1026 ms 37236 KB Output is correct
74 Correct 393 ms 19852 KB Output is correct
75 Correct 543 ms 30216 KB Output is correct
76 Correct 2028 ms 67088 KB Output is correct
77 Correct 2263 ms 67772 KB Output is correct
78 Correct 1584 ms 60444 KB Output is correct
79 Correct 1602 ms 61592 KB Output is correct
80 Correct 4 ms 4300 KB Output is correct
81 Correct 3 ms 4300 KB Output is correct
82 Correct 13 ms 4840 KB Output is correct
83 Correct 206 ms 10700 KB Output is correct
84 Correct 209 ms 11696 KB Output is correct
85 Correct 35 ms 5984 KB Output is correct
86 Correct 4 ms 4300 KB Output is correct
87 Correct 271 ms 10848 KB Output is correct
88 Correct 2 ms 4300 KB Output is correct
89 Correct 2 ms 4300 KB Output is correct
90 Correct 4 ms 4404 KB Output is correct
91 Correct 31 ms 5192 KB Output is correct
92 Correct 139 ms 11088 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 ms 4300 KB Output is correct
5 Correct 2 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 4 ms 4300 KB Output is correct
8 Correct 3 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 3 ms 4300 KB Output is correct
12 Correct 2 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 2 ms 4300 KB Output is correct
15 Correct 2 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 4 ms 4300 KB Output is correct
18 Correct 2 ms 4300 KB Output is correct
19 Correct 2 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 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 2 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 3 ms 4428 KB Output is correct
28 Correct 3 ms 4300 KB Output is correct
29 Correct 2 ms 4300 KB Output is correct
30 Correct 2 ms 4300 KB Output is correct
31 Correct 5 ms 4428 KB Output is correct
32 Correct 3 ms 4428 KB Output is correct
33 Correct 5 ms 4480 KB Output is correct
34 Correct 2 ms 4300 KB Output is correct
35 Correct 4 ms 4372 KB Output is correct
36 Correct 3 ms 4300 KB Output is correct
37 Correct 3 ms 4428 KB Output is correct
38 Correct 3 ms 4300 KB Output is correct
39 Correct 2 ms 4300 KB Output is correct
40 Correct 3 ms 4300 KB Output is correct
41 Correct 2 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 2 ms 4300 KB Output is correct
45 Correct 4 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 2 ms 4300 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 7 ms 4556 KB Output is correct
52 Correct 8 ms 4528 KB Output is correct
53 Correct 5 ms 4556 KB Output is correct
54 Correct 3 ms 4396 KB Output is correct
55 Correct 7 ms 4684 KB Output is correct
56 Correct 7 ms 4700 KB Output is correct
57 Correct 6 ms 4556 KB Output is correct
58 Correct 3 ms 4300 KB Output is correct
59 Correct 2 ms 4300 KB Output is correct
60 Correct 4 ms 4428 KB Output is correct
61 Correct 5 ms 4428 KB Output is correct
62 Correct 3 ms 4428 KB Output is correct
63 Correct 2 ms 4428 KB Output is correct
64 Correct 2 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 3 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 3 ms 4300 KB Output is correct
70 Correct 4 ms 4428 KB Output is correct
71 Correct 891 ms 36596 KB Output is correct
72 Correct 525 ms 30184 KB Output is correct
73 Correct 1026 ms 37236 KB Output is correct
74 Correct 393 ms 19852 KB Output is correct
75 Correct 543 ms 30216 KB Output is correct
76 Correct 2028 ms 67088 KB Output is correct
77 Correct 2263 ms 67772 KB Output is correct
78 Correct 1584 ms 60444 KB Output is correct
79 Correct 1602 ms 61592 KB Output is correct
80 Correct 4 ms 4300 KB Output is correct
81 Correct 3 ms 4300 KB Output is correct
82 Correct 13 ms 4840 KB Output is correct
83 Correct 206 ms 10700 KB Output is correct
84 Correct 209 ms 11696 KB Output is correct
85 Correct 35 ms 5984 KB Output is correct
86 Correct 4 ms 4300 KB Output is correct
87 Correct 271 ms 10848 KB Output is correct
88 Correct 2 ms 4300 KB Output is correct
89 Correct 2 ms 4300 KB Output is correct
90 Correct 4 ms 4404 KB Output is correct
91 Correct 31 ms 5192 KB Output is correct
92 Correct 139 ms 11088 KB Output is correct
93 Execution timed out 5031 ms 74728 KB Time limit exceeded
94 Halted 0 ms 0 KB -