Submission #493243

# Submission time Handle Problem Language Result Execution time Memory
493243 2021-12-10T13:33:02 Z blue Toys (CEOI18_toy) C++17
79 / 100
5000 ms 76556 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 <= 8'5000'0000);

    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 2 ms 4300 KB Output is correct
4 Correct 2 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 4 ms 4300 KB Output is correct
8 Correct 3 ms 4352 KB Output is correct
9 Correct 2 ms 4300 KB Output is correct
10 Correct 2 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 3 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 3 ms 4300 KB Output is correct
15 Correct 4 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 2 ms 4300 KB Output is correct
19 Correct 2 ms 4300 KB Output is correct
20 Correct 4 ms 4300 KB Output is correct
21 Correct 3 ms 4300 KB Output is correct
22 Correct 3 ms 4300 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 2 ms 4300 KB Output is correct
4 Correct 2 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 4 ms 4300 KB Output is correct
8 Correct 3 ms 4352 KB Output is correct
9 Correct 2 ms 4300 KB Output is correct
10 Correct 2 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 3 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 3 ms 4300 KB Output is correct
15 Correct 4 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 2 ms 4300 KB Output is correct
19 Correct 2 ms 4300 KB Output is correct
20 Correct 4 ms 4300 KB Output is correct
21 Correct 3 ms 4300 KB Output is correct
22 Correct 3 ms 4300 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 3 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 3 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 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 3 ms 4300 KB Output is correct
35 Correct 3 ms 4300 KB Output is correct
36 Correct 2 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 4428 KB Output is correct
41 Correct 4 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 4 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4292 KB Output is correct
47 Correct 2 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 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 2 ms 4300 KB Output is correct
3 Correct 2 ms 4300 KB Output is correct
4 Correct 2 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 4 ms 4300 KB Output is correct
8 Correct 3 ms 4352 KB Output is correct
9 Correct 2 ms 4300 KB Output is correct
10 Correct 2 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 3 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 3 ms 4300 KB Output is correct
15 Correct 4 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 2 ms 4300 KB Output is correct
19 Correct 2 ms 4300 KB Output is correct
20 Correct 4 ms 4300 KB Output is correct
21 Correct 3 ms 4300 KB Output is correct
22 Correct 3 ms 4300 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 3 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 3 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 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 3 ms 4300 KB Output is correct
35 Correct 3 ms 4300 KB Output is correct
36 Correct 2 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 4428 KB Output is correct
41 Correct 4 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 4 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4292 KB Output is correct
47 Correct 2 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4428 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 5 ms 4456 KB Output is correct
52 Correct 5 ms 4524 KB Output is correct
53 Correct 5 ms 4556 KB Output is correct
54 Correct 3 ms 4428 KB Output is correct
55 Correct 8 ms 4684 KB Output is correct
56 Correct 7 ms 4616 KB Output is correct
57 Correct 6 ms 4604 KB Output is correct
58 Correct 4 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 4 ms 4428 KB Output is correct
63 Correct 4 ms 4428 KB Output is correct
64 Correct 4 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 2 ms 4300 KB Output is correct
69 Correct 2 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 2 ms 4300 KB Output is correct
3 Correct 2 ms 4300 KB Output is correct
4 Correct 2 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 4 ms 4300 KB Output is correct
8 Correct 3 ms 4352 KB Output is correct
9 Correct 2 ms 4300 KB Output is correct
10 Correct 2 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 3 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 3 ms 4300 KB Output is correct
15 Correct 4 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 2 ms 4300 KB Output is correct
19 Correct 2 ms 4300 KB Output is correct
20 Correct 4 ms 4300 KB Output is correct
21 Correct 3 ms 4300 KB Output is correct
22 Correct 3 ms 4300 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 3 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 3 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 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 3 ms 4300 KB Output is correct
35 Correct 3 ms 4300 KB Output is correct
36 Correct 2 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 4428 KB Output is correct
41 Correct 4 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 4 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4292 KB Output is correct
47 Correct 2 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4428 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 5 ms 4456 KB Output is correct
52 Correct 5 ms 4524 KB Output is correct
53 Correct 5 ms 4556 KB Output is correct
54 Correct 3 ms 4428 KB Output is correct
55 Correct 8 ms 4684 KB Output is correct
56 Correct 7 ms 4616 KB Output is correct
57 Correct 6 ms 4604 KB Output is correct
58 Correct 4 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 4 ms 4428 KB Output is correct
63 Correct 4 ms 4428 KB Output is correct
64 Correct 4 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 2 ms 4300 KB Output is correct
69 Correct 2 ms 4300 KB Output is correct
70 Correct 3 ms 4428 KB Output is correct
71 Correct 878 ms 36632 KB Output is correct
72 Correct 501 ms 30092 KB Output is correct
73 Correct 955 ms 37140 KB Output is correct
74 Correct 356 ms 19876 KB Output is correct
75 Correct 526 ms 30024 KB Output is correct
76 Correct 2041 ms 67232 KB Output is correct
77 Correct 2174 ms 67840 KB Output is correct
78 Correct 1436 ms 60472 KB Output is correct
79 Correct 1529 ms 61552 KB Output is correct
80 Correct 2 ms 4300 KB Output is correct
81 Correct 2 ms 4300 KB Output is correct
82 Correct 11 ms 4840 KB Output is correct
83 Correct 191 ms 10812 KB Output is correct
84 Correct 169 ms 11660 KB Output is correct
85 Correct 30 ms 5992 KB Output is correct
86 Correct 3 ms 4428 KB Output is correct
87 Correct 193 ms 10980 KB Output is correct
88 Correct 2 ms 4300 KB Output is correct
89 Correct 2 ms 4300 KB Output is correct
90 Correct 2 ms 4300 KB Output is correct
91 Correct 22 ms 5216 KB Output is correct
92 Correct 112 ms 11024 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 2 ms 4300 KB Output is correct
4 Correct 2 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 4 ms 4300 KB Output is correct
8 Correct 3 ms 4352 KB Output is correct
9 Correct 2 ms 4300 KB Output is correct
10 Correct 2 ms 4300 KB Output is correct
11 Correct 2 ms 4300 KB Output is correct
12 Correct 3 ms 4300 KB Output is correct
13 Correct 2 ms 4300 KB Output is correct
14 Correct 3 ms 4300 KB Output is correct
15 Correct 4 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 2 ms 4300 KB Output is correct
19 Correct 2 ms 4300 KB Output is correct
20 Correct 4 ms 4300 KB Output is correct
21 Correct 3 ms 4300 KB Output is correct
22 Correct 3 ms 4300 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 3 ms 4428 KB Output is correct
28 Correct 2 ms 4300 KB Output is correct
29 Correct 3 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 3 ms 4428 KB Output is correct
33 Correct 3 ms 4428 KB Output is correct
34 Correct 3 ms 4300 KB Output is correct
35 Correct 3 ms 4300 KB Output is correct
36 Correct 2 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 4428 KB Output is correct
41 Correct 4 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 4 ms 4300 KB Output is correct
45 Correct 3 ms 4300 KB Output is correct
46 Correct 2 ms 4292 KB Output is correct
47 Correct 2 ms 4300 KB Output is correct
48 Correct 2 ms 4300 KB Output is correct
49 Correct 3 ms 4428 KB Output is correct
50 Correct 6 ms 4556 KB Output is correct
51 Correct 5 ms 4456 KB Output is correct
52 Correct 5 ms 4524 KB Output is correct
53 Correct 5 ms 4556 KB Output is correct
54 Correct 3 ms 4428 KB Output is correct
55 Correct 8 ms 4684 KB Output is correct
56 Correct 7 ms 4616 KB Output is correct
57 Correct 6 ms 4604 KB Output is correct
58 Correct 4 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 4 ms 4428 KB Output is correct
63 Correct 4 ms 4428 KB Output is correct
64 Correct 4 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 2 ms 4300 KB Output is correct
69 Correct 2 ms 4300 KB Output is correct
70 Correct 3 ms 4428 KB Output is correct
71 Correct 878 ms 36632 KB Output is correct
72 Correct 501 ms 30092 KB Output is correct
73 Correct 955 ms 37140 KB Output is correct
74 Correct 356 ms 19876 KB Output is correct
75 Correct 526 ms 30024 KB Output is correct
76 Correct 2041 ms 67232 KB Output is correct
77 Correct 2174 ms 67840 KB Output is correct
78 Correct 1436 ms 60472 KB Output is correct
79 Correct 1529 ms 61552 KB Output is correct
80 Correct 2 ms 4300 KB Output is correct
81 Correct 2 ms 4300 KB Output is correct
82 Correct 11 ms 4840 KB Output is correct
83 Correct 191 ms 10812 KB Output is correct
84 Correct 169 ms 11660 KB Output is correct
85 Correct 30 ms 5992 KB Output is correct
86 Correct 3 ms 4428 KB Output is correct
87 Correct 193 ms 10980 KB Output is correct
88 Correct 2 ms 4300 KB Output is correct
89 Correct 2 ms 4300 KB Output is correct
90 Correct 2 ms 4300 KB Output is correct
91 Correct 22 ms 5216 KB Output is correct
92 Correct 112 ms 11024 KB Output is correct
93 Execution timed out 5069 ms 76556 KB Time limit exceeded
94 Halted 0 ms 0 KB -