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Submission #826102

# Submission time Handle Problem Language Result Execution time Memory
826102 2023-08-15T10:27:20 Z faruk Toys (CEOI18_toy) C++17
59 / 100
 5000 ms 5120 KB 
#include <bits/stdc++.h>
#define mp make_pair
#define all(a) a.begin(), a.end()

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

const int maxn = 1e6 + 2;
/*vector<int> min_prim(maxn);
vector<vector<int> > facs(maxn);

void sito() {
    for (ll i = 1; i < maxn; i++) {
        for (ll j = i; j < maxn; j += i)
            facs[j].push_back(i);
    }
}
*/
vector<int> min_prim(maxn);
 
void sito() {
    for (ll i = 2; i < maxn; i++) {
        if (min_prim[i] != 0)
            continue;
        for (ll j = i ; j < maxn; j += i)
            if (min_prim[j] == 0)  
                min_prim[j] = i;
    }
}

vector<int> facs;
void get_small_primes(int a) {
    if (a == 1)
        return;
    facs.push_back(min_prim[a]);
    get_small_primes(a / min_prim[a]);
}

vector<int> get_small_factors(int a) {
    facs = vector<int>();
    get_small_primes(a);
    vector<int> factors;
    factors.push_back(1);
    vector<int> temp;
    facs.push_back(1e9); int cnt = 0;
    for (int i = 0; i < facs.size() - 1; i++) {
        cnt++;
        if (facs[i] != facs[i + 1]) {
            int val = 1;
            for (int j = 0; j < cnt; j++) {
                val *= facs[i];
                for (int a : factors)
                    temp.push_back(a * val);
            }
            factors.insert(factors.end(), all(temp));
            temp.clear();
            cnt = 0;
        }
    }
    sort(all(factors));
    return factors;
}

vector<int> factors;
vector<int> get_big_factors(int a, int l) {
    for (int i = 1; i * i <= a and i <= l; i++) {
        if (i * i == a)
            factors.push_back(a);
        else
        {
            factors.push_back(i);
            if (a / i <= l)
                factors.push_back(a/i);
        }
    }
    sort(all(factors));
    return factors;
}

vector<bool> there(maxn);
set<int> ans;
void recur(int n, int csum, int l) {
    if (n == 1)
    {
        if (csum > maxn)
            ans.insert(csum);
        else {
            if (there[csum])   
                return;
            there[csum] = true;
        }
        return;
    }
    vector<int> factors;
    if (n < maxn)
        factors = get_small_factors(n);
    else
        factors = get_big_factors(n, l);
    for (int i = 0; i < factors.size(); i++) { // the actual factor is a and left over is n/a
        int a = factors.at(i);
        if (a > l)
            return;
        if (a == 1)
            continue;
        recur(n/a, csum + a - 1, a);
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    sito();
    int n;
    cin >> n;
    recur(n, 0, n+1);

    vector<int> anss;
    for (int i = 0; i < maxn; i++)
        if (there[i])
            anss.push_back(i);
    for (int a : ans)
        anss.push_back(a);
    cout << anss.size() << "\n";
    for (int a : anss)
        cout << a <<" ";
    cout <<"\n";
}

Compilation message

toy.cpp: In function 'std::vector<int> get_small_factors(int)':
toy.cpp:48:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   48 |     for (int i = 0; i < facs.size() - 1; i++) {
      |                     ~~^~~~~~~~~~~~~~~~~
toy.cpp: In function 'void recur(int, int, int)':
toy.cpp:101:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 |     for (int i = 0; i < factors.size(); i++) { // the actual factor is a and left over is n/a
      |                     ~~^~~~~~~~~~~~~~~~

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4308 KB Output is correct
2 Correct 9 ms 4308 KB Output is correct
3 Correct 9 ms 4368 KB Output is correct
4 Correct 9 ms 4308 KB Output is correct
5 Correct 9 ms 4372 KB Output is correct
6 Correct 9 ms 4308 KB Output is correct
7 Correct 10 ms 4308 KB Output is correct
8 Correct 9 ms 4308 KB Output is correct
9 Correct 9 ms 4308 KB Output is correct
10 Correct 9 ms 4368 KB Output is correct
11 Correct 8 ms 4308 KB Output is correct
12 Correct 9 ms 4308 KB Output is correct
13 Correct 9 ms 4308 KB Output is correct
14 Correct 9 ms 4308 KB Output is correct
15 Correct 9 ms 4308 KB Output is correct
16 Correct 9 ms 4368 KB Output is correct
17 Correct 9 ms 4368 KB Output is correct
18 Correct 9 ms 4308 KB Output is correct
19 Correct 9 ms 4308 KB Output is correct
20 Correct 8 ms 4308 KB Output is correct
21 Correct 9 ms 4372 KB Output is correct
22 Correct 8 ms 4372 KB Output is correct
23 Correct 9 ms 4308 KB Output is correct
24 Correct 9 ms 4368 KB Output is correct
25 Correct 9 ms 4308 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4308 KB Output is correct
2 Correct 9 ms 4308 KB Output is correct
3 Correct 9 ms 4368 KB Output is correct
4 Correct 9 ms 4308 KB Output is correct
5 Correct 9 ms 4372 KB Output is correct
6 Correct 9 ms 4308 KB Output is correct
7 Correct 10 ms 4308 KB Output is correct
8 Correct 9 ms 4308 KB Output is correct
9 Correct 9 ms 4308 KB Output is correct
10 Correct 9 ms 4368 KB Output is correct
11 Correct 8 ms 4308 KB Output is correct
12 Correct 9 ms 4308 KB Output is correct
13 Correct 9 ms 4308 KB Output is correct
14 Correct 9 ms 4308 KB Output is correct
15 Correct 9 ms 4308 KB Output is correct
16 Correct 9 ms 4368 KB Output is correct
17 Correct 9 ms 4368 KB Output is correct
18 Correct 9 ms 4308 KB Output is correct
19 Correct 9 ms 4308 KB Output is correct
20 Correct 8 ms 4308 KB Output is correct
21 Correct 9 ms 4372 KB Output is correct
22 Correct 8 ms 4372 KB Output is correct
23 Correct 9 ms 4308 KB Output is correct
24 Correct 9 ms 4368 KB Output is correct
25 Correct 9 ms 4308 KB Output is correct
26 Correct 9 ms 4308 KB Output is correct
27 Correct 9 ms 4308 KB Output is correct
28 Correct 9 ms 4308 KB Output is correct
29 Correct 9 ms 4308 KB Output is correct
30 Correct 9 ms 4308 KB Output is correct
31 Correct 9 ms 4308 KB Output is correct
32 Correct 10 ms 4308 KB Output is correct
33 Correct 9 ms 4308 KB Output is correct
34 Correct 9 ms 4308 KB Output is correct
35 Correct 9 ms 4308 KB Output is correct
36 Correct 9 ms 4308 KB Output is correct
37 Correct 9 ms 4308 KB Output is correct
38 Correct 9 ms 4372 KB Output is correct
39 Correct 8 ms 4308 KB Output is correct
40 Correct 9 ms 4308 KB Output is correct
41 Correct 9 ms 4308 KB Output is correct
42 Correct 9 ms 4336 KB Output is correct
43 Correct 9 ms 4364 KB Output is correct
44 Correct 9 ms 4308 KB Output is correct
45 Correct 9 ms 4308 KB Output is correct
46 Correct 9 ms 4308 KB Output is correct
47 Correct 9 ms 4308 KB Output is correct
48 Correct 9 ms 4364 KB Output is correct
49 Correct 9 ms 4364 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4308 KB Output is correct
2 Correct 9 ms 4308 KB Output is correct
3 Correct 9 ms 4368 KB Output is correct
4 Correct 9 ms 4308 KB Output is correct
5 Correct 9 ms 4372 KB Output is correct
6 Correct 9 ms 4308 KB Output is correct
7 Correct 10 ms 4308 KB Output is correct
8 Correct 9 ms 4308 KB Output is correct
9 Correct 9 ms 4308 KB Output is correct
10 Correct 9 ms 4368 KB Output is correct
11 Correct 8 ms 4308 KB Output is correct
12 Correct 9 ms 4308 KB Output is correct
13 Correct 9 ms 4308 KB Output is correct
14 Correct 9 ms 4308 KB Output is correct
15 Correct 9 ms 4308 KB Output is correct
16 Correct 9 ms 4368 KB Output is correct
17 Correct 9 ms 4368 KB Output is correct
18 Correct 9 ms 4308 KB Output is correct
19 Correct 9 ms 4308 KB Output is correct
20 Correct 8 ms 4308 KB Output is correct
21 Correct 9 ms 4372 KB Output is correct
22 Correct 8 ms 4372 KB Output is correct
23 Correct 9 ms 4308 KB Output is correct
24 Correct 9 ms 4368 KB Output is correct
25 Correct 9 ms 4308 KB Output is correct
26 Correct 9 ms 4308 KB Output is correct
27 Correct 9 ms 4308 KB Output is correct
28 Correct 9 ms 4308 KB Output is correct
29 Correct 9 ms 4308 KB Output is correct
30 Correct 9 ms 4308 KB Output is correct
31 Correct 9 ms 4308 KB Output is correct
32 Correct 10 ms 4308 KB Output is correct
33 Correct 9 ms 4308 KB Output is correct
34 Correct 9 ms 4308 KB Output is correct
35 Correct 9 ms 4308 KB Output is correct
36 Correct 9 ms 4308 KB Output is correct
37 Correct 9 ms 4308 KB Output is correct
38 Correct 9 ms 4372 KB Output is correct
39 Correct 8 ms 4308 KB Output is correct
40 Correct 9 ms 4308 KB Output is correct
41 Correct 9 ms 4308 KB Output is correct
42 Correct 9 ms 4336 KB Output is correct
43 Correct 9 ms 4364 KB Output is correct
44 Correct 9 ms 4308 KB Output is correct
45 Correct 9 ms 4308 KB Output is correct
46 Correct 9 ms 4308 KB Output is correct
47 Correct 9 ms 4308 KB Output is correct
48 Correct 9 ms 4364 KB Output is correct
49 Correct 9 ms 4364 KB Output is correct
50 Correct 11 ms 4308 KB Output is correct
51 Correct 10 ms 4364 KB Output is correct
52 Correct 11 ms 4372 KB Output is correct
53 Correct 10 ms 4364 KB Output is correct
54 Correct 9 ms 4308 KB Output is correct
55 Correct 12 ms 4308 KB Output is correct
56 Correct 12 ms 4384 KB Output is correct
57 Correct 11 ms 4308 KB Output is correct
58 Correct 9 ms 4308 KB Output is correct
59 Correct 9 ms 4308 KB Output is correct
60 Correct 9 ms 4308 KB Output is correct
61 Correct 10 ms 4308 KB Output is correct
62 Correct 9 ms 4368 KB Output is correct
63 Correct 9 ms 4244 KB Output is correct
64 Correct 8 ms 4308 KB Output is correct
65 Correct 10 ms 4332 KB Output is correct
66 Correct 9 ms 4308 KB Output is correct
67 Correct 9 ms 4368 KB Output is correct
68 Correct 9 ms 4368 KB Output is correct
69 Correct 9 ms 4308 KB Output is correct
70 Correct 9 ms 4364 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4308 KB Output is correct
2 Correct 9 ms 4308 KB Output is correct
3 Correct 9 ms 4368 KB Output is correct
4 Correct 9 ms 4308 KB Output is correct
5 Correct 9 ms 4372 KB Output is correct
6 Correct 9 ms 4308 KB Output is correct
7 Correct 10 ms 4308 KB Output is correct
8 Correct 9 ms 4308 KB Output is correct
9 Correct 9 ms 4308 KB Output is correct
10 Correct 9 ms 4368 KB Output is correct
11 Correct 8 ms 4308 KB Output is correct
12 Correct 9 ms 4308 KB Output is correct
13 Correct 9 ms 4308 KB Output is correct
14 Correct 9 ms 4308 KB Output is correct
15 Correct 9 ms 4308 KB Output is correct
16 Correct 9 ms 4368 KB Output is correct
17 Correct 9 ms 4368 KB Output is correct
18 Correct 9 ms 4308 KB Output is correct
19 Correct 9 ms 4308 KB Output is correct
20 Correct 8 ms 4308 KB Output is correct
21 Correct 9 ms 4372 KB Output is correct
22 Correct 8 ms 4372 KB Output is correct
23 Correct 9 ms 4308 KB Output is correct
24 Correct 9 ms 4368 KB Output is correct
25 Correct 9 ms 4308 KB Output is correct
26 Correct 9 ms 4308 KB Output is correct
27 Correct 9 ms 4308 KB Output is correct
28 Correct 9 ms 4308 KB Output is correct
29 Correct 9 ms 4308 KB Output is correct
30 Correct 9 ms 4308 KB Output is correct
31 Correct 9 ms 4308 KB Output is correct
32 Correct 10 ms 4308 KB Output is correct
33 Correct 9 ms 4308 KB Output is correct
34 Correct 9 ms 4308 KB Output is correct
35 Correct 9 ms 4308 KB Output is correct
36 Correct 9 ms 4308 KB Output is correct
37 Correct 9 ms 4308 KB Output is correct
38 Correct 9 ms 4372 KB Output is correct
39 Correct 8 ms 4308 KB Output is correct
40 Correct 9 ms 4308 KB Output is correct
41 Correct 9 ms 4308 KB Output is correct
42 Correct 9 ms 4336 KB Output is correct
43 Correct 9 ms 4364 KB Output is correct
44 Correct 9 ms 4308 KB Output is correct
45 Correct 9 ms 4308 KB Output is correct
46 Correct 9 ms 4308 KB Output is correct
47 Correct 9 ms 4308 KB Output is correct
48 Correct 9 ms 4364 KB Output is correct
49 Correct 9 ms 4364 KB Output is correct
50 Correct 11 ms 4308 KB Output is correct
51 Correct 10 ms 4364 KB Output is correct
52 Correct 11 ms 4372 KB Output is correct
53 Correct 10 ms 4364 KB Output is correct
54 Correct 9 ms 4308 KB Output is correct
55 Correct 12 ms 4308 KB Output is correct
56 Correct 12 ms 4384 KB Output is correct
57 Correct 11 ms 4308 KB Output is correct
58 Correct 9 ms 4308 KB Output is correct
59 Correct 9 ms 4308 KB Output is correct
60 Correct 9 ms 4308 KB Output is correct
61 Correct 10 ms 4308 KB Output is correct
62 Correct 9 ms 4368 KB Output is correct
63 Correct 9 ms 4244 KB Output is correct
64 Correct 8 ms 4308 KB Output is correct
65 Correct 10 ms 4332 KB Output is correct
66 Correct 9 ms 4308 KB Output is correct
67 Correct 9 ms 4368 KB Output is correct
68 Correct 9 ms 4368 KB Output is correct
69 Correct 9 ms 4308 KB Output is correct
70 Correct 9 ms 4364 KB Output is correct
71 Execution timed out 5038 ms 5120 KB Time limit exceeded
72 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4308 KB Output is correct
2 Correct 9 ms 4308 KB Output is correct
3 Correct 9 ms 4368 KB Output is correct
4 Correct 9 ms 4308 KB Output is correct
5 Correct 9 ms 4372 KB Output is correct
6 Correct 9 ms 4308 KB Output is correct
7 Correct 10 ms 4308 KB Output is correct
8 Correct 9 ms 4308 KB Output is correct
9 Correct 9 ms 4308 KB Output is correct
10 Correct 9 ms 4368 KB Output is correct
11 Correct 8 ms 4308 KB Output is correct
12 Correct 9 ms 4308 KB Output is correct
13 Correct 9 ms 4308 KB Output is correct
14 Correct 9 ms 4308 KB Output is correct
15 Correct 9 ms 4308 KB Output is correct
16 Correct 9 ms 4368 KB Output is correct
17 Correct 9 ms 4368 KB Output is correct
18 Correct 9 ms 4308 KB Output is correct
19 Correct 9 ms 4308 KB Output is correct
20 Correct 8 ms 4308 KB Output is correct
21 Correct 9 ms 4372 KB Output is correct
22 Correct 8 ms 4372 KB Output is correct
23 Correct 9 ms 4308 KB Output is correct
24 Correct 9 ms 4368 KB Output is correct
25 Correct 9 ms 4308 KB Output is correct
26 Correct 9 ms 4308 KB Output is correct
27 Correct 9 ms 4308 KB Output is correct
28 Correct 9 ms 4308 KB Output is correct
29 Correct 9 ms 4308 KB Output is correct
30 Correct 9 ms 4308 KB Output is correct
31 Correct 9 ms 4308 KB Output is correct
32 Correct 10 ms 4308 KB Output is correct
33 Correct 9 ms 4308 KB Output is correct
34 Correct 9 ms 4308 KB Output is correct
35 Correct 9 ms 4308 KB Output is correct
36 Correct 9 ms 4308 KB Output is correct
37 Correct 9 ms 4308 KB Output is correct
38 Correct 9 ms 4372 KB Output is correct
39 Correct 8 ms 4308 KB Output is correct
40 Correct 9 ms 4308 KB Output is correct
41 Correct 9 ms 4308 KB Output is correct
42 Correct 9 ms 4336 KB Output is correct
43 Correct 9 ms 4364 KB Output is correct
44 Correct 9 ms 4308 KB Output is correct
45 Correct 9 ms 4308 KB Output is correct
46 Correct 9 ms 4308 KB Output is correct
47 Correct 9 ms 4308 KB Output is correct
48 Correct 9 ms 4364 KB Output is correct
49 Correct 9 ms 4364 KB Output is correct
50 Correct 11 ms 4308 KB Output is correct
51 Correct 10 ms 4364 KB Output is correct
52 Correct 11 ms 4372 KB Output is correct
53 Correct 10 ms 4364 KB Output is correct
54 Correct 9 ms 4308 KB Output is correct
55 Correct 12 ms 4308 KB Output is correct
56 Correct 12 ms 4384 KB Output is correct
57 Correct 11 ms 4308 KB Output is correct
58 Correct 9 ms 4308 KB Output is correct
59 Correct 9 ms 4308 KB Output is correct
60 Correct 9 ms 4308 KB Output is correct
61 Correct 10 ms 4308 KB Output is correct
62 Correct 9 ms 4368 KB Output is correct
63 Correct 9 ms 4244 KB Output is correct
64 Correct 8 ms 4308 KB Output is correct
65 Correct 10 ms 4332 KB Output is correct
66 Correct 9 ms 4308 KB Output is correct
67 Correct 9 ms 4368 KB Output is correct
68 Correct 9 ms 4368 KB Output is correct
69 Correct 9 ms 4308 KB Output is correct
70 Correct 9 ms 4364 KB Output is correct
71 Execution timed out 5038 ms 5120 KB Time limit exceeded
72 Halted 0 ms 0 KB -