Submission #493242

# Submission time Handle Problem Language Result Execution time Memory
493242 2021-12-10T13:32:14 Z blue Toys (CEOI18_toy) C++17
79 / 100
5000 ms 76528 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 <= 9'7000'0000);

    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 3 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 3 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 2 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 2 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 3 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 3 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 3 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 2 ms 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 3 ms 4316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 3 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 3 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 2 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 2 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 3 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 3 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 3 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 2 ms 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 3 ms 4316 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 3 ms 4428 KB Output is correct
32 Correct 4 ms 4428 KB Output is correct
33 Correct 2 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 4 ms 4428 KB Output is correct
38 Correct 4 ms 4352 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4428 KB Output is correct
41 Correct 2 ms 4300 KB Output is correct
42 Correct 3 ms 4372 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 2 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 3 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 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 3 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 3 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 2 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 2 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 3 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 3 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 3 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 2 ms 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 3 ms 4316 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 3 ms 4428 KB Output is correct
32 Correct 4 ms 4428 KB Output is correct
33 Correct 2 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 4 ms 4428 KB Output is correct
38 Correct 4 ms 4352 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4428 KB Output is correct
41 Correct 2 ms 4300 KB Output is correct
42 Correct 3 ms 4372 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 2 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 3 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 2 ms 4300 KB Output is correct
50 Correct 5 ms 4556 KB Output is correct
51 Correct 6 ms 4560 KB Output is correct
52 Correct 6 ms 4556 KB Output is correct
53 Correct 8 ms 4556 KB Output is correct
54 Correct 4 ms 4428 KB Output is correct
55 Correct 10 ms 4684 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 2 ms 4300 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 7 ms 4556 KB Output is correct
62 Correct 3 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 6 ms 4428 KB Output is correct
66 Correct 3 ms 4300 KB Output is correct
67 Correct 4 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 4 ms 4300 KB Output is correct
70 Correct 3 ms 4428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 3 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 3 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 2 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 2 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 3 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 3 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 3 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 2 ms 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 3 ms 4316 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 3 ms 4428 KB Output is correct
32 Correct 4 ms 4428 KB Output is correct
33 Correct 2 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 4 ms 4428 KB Output is correct
38 Correct 4 ms 4352 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4428 KB Output is correct
41 Correct 2 ms 4300 KB Output is correct
42 Correct 3 ms 4372 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 2 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 3 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 2 ms 4300 KB Output is correct
50 Correct 5 ms 4556 KB Output is correct
51 Correct 6 ms 4560 KB Output is correct
52 Correct 6 ms 4556 KB Output is correct
53 Correct 8 ms 4556 KB Output is correct
54 Correct 4 ms 4428 KB Output is correct
55 Correct 10 ms 4684 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 2 ms 4300 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 7 ms 4556 KB Output is correct
62 Correct 3 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 6 ms 4428 KB Output is correct
66 Correct 3 ms 4300 KB Output is correct
67 Correct 4 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 4 ms 4300 KB Output is correct
70 Correct 3 ms 4428 KB Output is correct
71 Correct 1012 ms 36620 KB Output is correct
72 Correct 597 ms 30088 KB Output is correct
73 Correct 1092 ms 37248 KB Output is correct
74 Correct 390 ms 19772 KB Output is correct
75 Correct 539 ms 30072 KB Output is correct
76 Correct 1976 ms 67008 KB Output is correct
77 Correct 2294 ms 67672 KB Output is correct
78 Correct 1517 ms 60416 KB Output is correct
79 Correct 1631 ms 61556 KB Output is correct
80 Correct 3 ms 4344 KB Output is correct
81 Correct 2 ms 4300 KB Output is correct
82 Correct 13 ms 4840 KB Output is correct
83 Correct 213 ms 10860 KB Output is correct
84 Correct 172 ms 11780 KB Output is correct
85 Correct 31 ms 5960 KB Output is correct
86 Correct 3 ms 4300 KB Output is correct
87 Correct 199 ms 10816 KB Output is correct
88 Correct 3 ms 4300 KB Output is correct
89 Correct 3 ms 4300 KB Output is correct
90 Correct 3 ms 4300 KB Output is correct
91 Correct 34 ms 5216 KB Output is correct
92 Correct 128 ms 11080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4300 KB Output is correct
2 Correct 3 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 3 ms 4300 KB Output is correct
6 Correct 2 ms 4300 KB Output is correct
7 Correct 2 ms 4300 KB Output is correct
8 Correct 2 ms 4300 KB Output is correct
9 Correct 2 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 3 ms 4300 KB Output is correct
15 Correct 3 ms 4300 KB Output is correct
16 Correct 2 ms 4300 KB Output is correct
17 Correct 2 ms 4300 KB Output is correct
18 Correct 3 ms 4300 KB Output is correct
19 Correct 3 ms 4300 KB Output is correct
20 Correct 3 ms 4300 KB Output is correct
21 Correct 2 ms 4300 KB Output is correct
22 Correct 2 ms 4300 KB Output is correct
23 Correct 2 ms 4300 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 3 ms 4316 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 3 ms 4428 KB Output is correct
32 Correct 4 ms 4428 KB Output is correct
33 Correct 2 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 4 ms 4428 KB Output is correct
38 Correct 4 ms 4352 KB Output is correct
39 Correct 3 ms 4300 KB Output is correct
40 Correct 3 ms 4428 KB Output is correct
41 Correct 2 ms 4300 KB Output is correct
42 Correct 3 ms 4372 KB Output is correct
43 Correct 3 ms 4300 KB Output is correct
44 Correct 2 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 3 ms 4300 KB Output is correct
47 Correct 3 ms 4300 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 2 ms 4300 KB Output is correct
50 Correct 5 ms 4556 KB Output is correct
51 Correct 6 ms 4560 KB Output is correct
52 Correct 6 ms 4556 KB Output is correct
53 Correct 8 ms 4556 KB Output is correct
54 Correct 4 ms 4428 KB Output is correct
55 Correct 10 ms 4684 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 2 ms 4300 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 7 ms 4556 KB Output is correct
62 Correct 3 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 6 ms 4428 KB Output is correct
66 Correct 3 ms 4300 KB Output is correct
67 Correct 4 ms 4300 KB Output is correct
68 Correct 3 ms 4300 KB Output is correct
69 Correct 4 ms 4300 KB Output is correct
70 Correct 3 ms 4428 KB Output is correct
71 Correct 1012 ms 36620 KB Output is correct
72 Correct 597 ms 30088 KB Output is correct
73 Correct 1092 ms 37248 KB Output is correct
74 Correct 390 ms 19772 KB Output is correct
75 Correct 539 ms 30072 KB Output is correct
76 Correct 1976 ms 67008 KB Output is correct
77 Correct 2294 ms 67672 KB Output is correct
78 Correct 1517 ms 60416 KB Output is correct
79 Correct 1631 ms 61556 KB Output is correct
80 Correct 3 ms 4344 KB Output is correct
81 Correct 2 ms 4300 KB Output is correct
82 Correct 13 ms 4840 KB Output is correct
83 Correct 213 ms 10860 KB Output is correct
84 Correct 172 ms 11780 KB Output is correct
85 Correct 31 ms 5960 KB Output is correct
86 Correct 3 ms 4300 KB Output is correct
87 Correct 199 ms 10816 KB Output is correct
88 Correct 3 ms 4300 KB Output is correct
89 Correct 3 ms 4300 KB Output is correct
90 Correct 3 ms 4300 KB Output is correct
91 Correct 34 ms 5216 KB Output is correct
92 Correct 128 ms 11080 KB Output is correct
93 Execution timed out 5029 ms 76528 KB Time limit exceeded
94 Halted 0 ms 0 KB -