Submission #493230

# Submission time Handle Problem Language Result Execution time Memory
493230 2021-12-10T13:16:27 Z blue Toys (CEOI18_toy) C++17
79 / 100
5000 ms 67752 KB
#include <iostream>
#include <vector>
#include <set>
#include <algorithm>
#include <map>
using namespace std;

#define sz(x) (int(x.size()))
using vi = vector<int>;

// 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_factors(long long u)
{
    if(u*u <= n) return factors[u];
    else return factors2[n/u];
}



void solve(long long i)
{
    // cerr << "solve " << i << '\n';
    // if(solved[i]) return;
    // solved[i] = 1;
    if(i*i <= n)
    {
        if(solved[i]) return;
        else solved[i] = 1;
    }
    else
    {
        if(solved2[n/i]) return;
        else solved2[n/i] = 1;
    }
    // cerr << "\n\n\n";
    // cerr << "solve:  " << i << '\n';
    // cerr << "cond = " << int(res.find(i) != res.end()) << '\n';
    // if(res.find(i) != res.end()) return;
    // cerr << "entered\n";

    vi ans(1, i-1);
    // for(int j = 2; j < i && j*j <= i; j++)

    // cerr << "#\n";
    // for(int y: sf) cerr << "y = " << y << '\n';
    // cerr << "#2\n";

    for(int 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: (u*u <= n ? res[u] : res2[n/u]))
            for(int b: (v*v <= n ? res[v] : res2[n/v]))
                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';

    if(i*i <= n)
    {
        // cerr << "case 1\n";
        res[i] = ans;
    }
    else
    {
        // cerr << "case 2\n";
        res2[n/i] = ans;
    }
}

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(n % i == 0)
            sf.push_back(i);
    }

    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 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 2 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 3 ms 4300 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 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 4312 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 3 ms 4300 KB Output is correct
21 Correct 3 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 2 ms 4300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 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 3 ms 4300 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 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 4312 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 3 ms 4300 KB Output is correct
21 Correct 3 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 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 3 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 4388 KB Output is correct
33 Correct 4 ms 4336 KB Output is correct
34 Correct 3 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 3 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 2 ms 4300 KB Output is correct
43 Correct 2 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 4352 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 3 ms 4316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 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 3 ms 4300 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 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 4312 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 3 ms 4300 KB Output is correct
21 Correct 3 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 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 3 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 4388 KB Output is correct
33 Correct 4 ms 4336 KB Output is correct
34 Correct 3 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 3 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 2 ms 4300 KB Output is correct
43 Correct 2 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 4352 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 3 ms 4316 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 4556 KB Output is correct
54 Correct 3 ms 4428 KB Output is correct
55 Correct 9 ms 4696 KB Output is correct
56 Correct 7 ms 4616 KB Output is correct
57 Correct 7 ms 4548 KB Output is correct
58 Correct 3 ms 4300 KB Output is correct
59 Correct 2 ms 4308 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 7 ms 4520 KB Output is correct
62 Correct 4 ms 4428 KB Output is correct
63 Correct 3 ms 4428 KB Output is correct
64 Correct 3 ms 4332 KB Output is correct
65 Correct 6 ms 4544 KB Output is correct
66 Correct 3 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 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 2 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 3 ms 4300 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 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 4312 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 3 ms 4300 KB Output is correct
21 Correct 3 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 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 3 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 4388 KB Output is correct
33 Correct 4 ms 4336 KB Output is correct
34 Correct 3 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 3 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 2 ms 4300 KB Output is correct
43 Correct 2 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 4352 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 3 ms 4316 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 4556 KB Output is correct
54 Correct 3 ms 4428 KB Output is correct
55 Correct 9 ms 4696 KB Output is correct
56 Correct 7 ms 4616 KB Output is correct
57 Correct 7 ms 4548 KB Output is correct
58 Correct 3 ms 4300 KB Output is correct
59 Correct 2 ms 4308 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 7 ms 4520 KB Output is correct
62 Correct 4 ms 4428 KB Output is correct
63 Correct 3 ms 4428 KB Output is correct
64 Correct 3 ms 4332 KB Output is correct
65 Correct 6 ms 4544 KB Output is correct
66 Correct 3 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 1262 ms 36596 KB Output is correct
72 Correct 820 ms 30176 KB Output is correct
73 Correct 1223 ms 37156 KB Output is correct
74 Correct 601 ms 19856 KB Output is correct
75 Correct 691 ms 30040 KB Output is correct
76 Correct 2341 ms 67084 KB Output is correct
77 Correct 2573 ms 67752 KB Output is correct
78 Correct 1848 ms 60612 KB Output is correct
79 Correct 1959 ms 61540 KB Output is correct
80 Correct 506 ms 4384 KB Output is correct
81 Correct 512 ms 4420 KB Output is correct
82 Correct 356 ms 4872 KB Output is correct
83 Correct 486 ms 10824 KB Output is correct
84 Correct 292 ms 11800 KB Output is correct
85 Correct 522 ms 6092 KB Output is correct
86 Correct 501 ms 4376 KB Output is correct
87 Correct 621 ms 10920 KB Output is correct
88 Correct 488 ms 4392 KB Output is correct
89 Correct 479 ms 4300 KB Output is correct
90 Correct 487 ms 4376 KB Output is correct
91 Correct 504 ms 5296 KB Output is correct
92 Correct 587 ms 11112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 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 2 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 3 ms 4300 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 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 4312 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 3 ms 4300 KB Output is correct
21 Correct 3 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 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 3 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 4388 KB Output is correct
33 Correct 4 ms 4336 KB Output is correct
34 Correct 3 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 3 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 2 ms 4300 KB Output is correct
43 Correct 2 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 4352 KB Output is correct
48 Correct 3 ms 4300 KB Output is correct
49 Correct 3 ms 4316 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 4556 KB Output is correct
54 Correct 3 ms 4428 KB Output is correct
55 Correct 9 ms 4696 KB Output is correct
56 Correct 7 ms 4616 KB Output is correct
57 Correct 7 ms 4548 KB Output is correct
58 Correct 3 ms 4300 KB Output is correct
59 Correct 2 ms 4308 KB Output is correct
60 Correct 3 ms 4428 KB Output is correct
61 Correct 7 ms 4520 KB Output is correct
62 Correct 4 ms 4428 KB Output is correct
63 Correct 3 ms 4428 KB Output is correct
64 Correct 3 ms 4332 KB Output is correct
65 Correct 6 ms 4544 KB Output is correct
66 Correct 3 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 1262 ms 36596 KB Output is correct
72 Correct 820 ms 30176 KB Output is correct
73 Correct 1223 ms 37156 KB Output is correct
74 Correct 601 ms 19856 KB Output is correct
75 Correct 691 ms 30040 KB Output is correct
76 Correct 2341 ms 67084 KB Output is correct
77 Correct 2573 ms 67752 KB Output is correct
78 Correct 1848 ms 60612 KB Output is correct
79 Correct 1959 ms 61540 KB Output is correct
80 Correct 506 ms 4384 KB Output is correct
81 Correct 512 ms 4420 KB Output is correct
82 Correct 356 ms 4872 KB Output is correct
83 Correct 486 ms 10824 KB Output is correct
84 Correct 292 ms 11800 KB Output is correct
85 Correct 522 ms 6092 KB Output is correct
86 Correct 501 ms 4376 KB Output is correct
87 Correct 621 ms 10920 KB Output is correct
88 Correct 488 ms 4392 KB Output is correct
89 Correct 479 ms 4300 KB Output is correct
90 Correct 487 ms 4376 KB Output is correct
91 Correct 504 ms 5296 KB Output is correct
92 Correct 587 ms 11112 KB Output is correct
93 Execution timed out 5070 ms 64116 KB Time limit exceeded
94 Halted 0 ms 0 KB -