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Submission #490973

# Submission time Handle Problem Language Result Execution time Memory
490973 2021-11-30T02:35:31 Z duchung Toys (CEOI18_toy) C++17
59 / 100
 1773 ms 262148 KB 
#include<bits/stdc++.h>
using namespace std;

const int N = 1e7 + 5;

int n;
map<pair<int , int> , bool> visited;
vector<int> Div[N];
vector<int> ans;

void calc(int x)
{
    if (x > 1e7) return;

    for (int i = 1 ; i * i <= x ; ++i)
    {
        if (x % i == 0)
        {
            if (i != 1) Div[x].push_back(i);
            if (i * i != x && x / i != 1) Div[x].push_back(x / i);
        }
    }
}

void build()
{
    for (int i = 1 ; i * i <= n ; ++i)
    {
        if (n % i == 0)
        {
            calc(i);
            if (i * i != n) calc(n / i);
        }
    }
}

void backtrack(int n , int sum)
{
    if (visited[{n , sum}] == true) return;
    visited[{n , sum}] = true;

    if (n == 1) return;

    if (n <= 1e7)
    {
        for (int x : Div[n]) backtrack(n / x , sum + x - 1);
    }
    else
    {
        for (int i = 1 ; i * i <= n ; ++i)
        {
            if (n % i == 0)
            {
                if (i != 1) backtrack(n / i , sum + i - 1);
                if (i * i != n && n / i != 1) backtrack(i , sum + n / i - 1);
            }
        }
    }
}

int main()
{
    // freopen(".inp","r",stdin);
    // freopen(".out","w",stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin >> n;
    build();
    backtrack(n , 0);

    for (auto x : visited)
    {
        if (x.first.first == 1) ans.push_back(x.first.second);
        else break;
    }

    cout << ans.size() << "\n";
    for (int x : ans) cout << x << " ";
}

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 235096 KB Output is correct
2 Correct 112 ms 235056 KB Output is correct
3 Correct 111 ms 235120 KB Output is correct
4 Correct 114 ms 235124 KB Output is correct
5 Correct 142 ms 235100 KB Output is correct
6 Correct 122 ms 235092 KB Output is correct
7 Correct 108 ms 235100 KB Output is correct
8 Correct 110 ms 235096 KB Output is correct
9 Correct 118 ms 235052 KB Output is correct
10 Correct 111 ms 235064 KB Output is correct
11 Correct 110 ms 235128 KB Output is correct
12 Correct 112 ms 235096 KB Output is correct
13 Correct 113 ms 235108 KB Output is correct
14 Correct 118 ms 235004 KB Output is correct
15 Correct 123 ms 235068 KB Output is correct
16 Correct 112 ms 235100 KB Output is correct
17 Correct 111 ms 235136 KB Output is correct
18 Correct 108 ms 235132 KB Output is correct
19 Correct 127 ms 235024 KB Output is correct
20 Correct 110 ms 235032 KB Output is correct
21 Correct 113 ms 235120 KB Output is correct
22 Correct 113 ms 235160 KB Output is correct
23 Correct 115 ms 235168 KB Output is correct
24 Correct 119 ms 235128 KB Output is correct
25 Correct 111 ms 235128 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 235096 KB Output is correct
2 Correct 112 ms 235056 KB Output is correct
3 Correct 111 ms 235120 KB Output is correct
4 Correct 114 ms 235124 KB Output is correct
5 Correct 142 ms 235100 KB Output is correct
6 Correct 122 ms 235092 KB Output is correct
7 Correct 108 ms 235100 KB Output is correct
8 Correct 110 ms 235096 KB Output is correct
9 Correct 118 ms 235052 KB Output is correct
10 Correct 111 ms 235064 KB Output is correct
11 Correct 110 ms 235128 KB Output is correct
12 Correct 112 ms 235096 KB Output is correct
13 Correct 113 ms 235108 KB Output is correct
14 Correct 118 ms 235004 KB Output is correct
15 Correct 123 ms 235068 KB Output is correct
16 Correct 112 ms 235100 KB Output is correct
17 Correct 111 ms 235136 KB Output is correct
18 Correct 108 ms 235132 KB Output is correct
19 Correct 127 ms 235024 KB Output is correct
20 Correct 110 ms 235032 KB Output is correct
21 Correct 113 ms 235120 KB Output is correct
22 Correct 113 ms 235160 KB Output is correct
23 Correct 115 ms 235168 KB Output is correct
24 Correct 119 ms 235128 KB Output is correct
25 Correct 111 ms 235128 KB Output is correct
26 Correct 123 ms 235152 KB Output is correct
27 Correct 125 ms 235212 KB Output is correct
28 Correct 112 ms 235096 KB Output is correct
29 Correct 119 ms 235104 KB Output is correct
30 Correct 107 ms 235052 KB Output is correct
31 Correct 128 ms 235204 KB Output is correct
32 Correct 138 ms 235212 KB Output is correct
33 Correct 119 ms 235120 KB Output is correct
34 Correct 108 ms 235076 KB Output is correct
35 Correct 119 ms 235028 KB Output is correct
36 Correct 125 ms 235184 KB Output is correct
37 Correct 121 ms 235076 KB Output is correct
38 Correct 119 ms 235156 KB Output is correct
39 Correct 115 ms 235124 KB Output is correct
40 Correct 117 ms 235132 KB Output is correct
41 Correct 121 ms 235080 KB Output is correct
42 Correct 112 ms 235052 KB Output is correct
43 Correct 120 ms 235136 KB Output is correct
44 Correct 113 ms 235116 KB Output is correct
45 Correct 120 ms 235056 KB Output is correct
46 Correct 116 ms 235204 KB Output is correct
47 Correct 116 ms 235128 KB Output is correct
48 Correct 117 ms 235108 KB Output is correct
49 Correct 115 ms 235100 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 235096 KB Output is correct
2 Correct 112 ms 235056 KB Output is correct
3 Correct 111 ms 235120 KB Output is correct
4 Correct 114 ms 235124 KB Output is correct
5 Correct 142 ms 235100 KB Output is correct
6 Correct 122 ms 235092 KB Output is correct
7 Correct 108 ms 235100 KB Output is correct
8 Correct 110 ms 235096 KB Output is correct
9 Correct 118 ms 235052 KB Output is correct
10 Correct 111 ms 235064 KB Output is correct
11 Correct 110 ms 235128 KB Output is correct
12 Correct 112 ms 235096 KB Output is correct
13 Correct 113 ms 235108 KB Output is correct
14 Correct 118 ms 235004 KB Output is correct
15 Correct 123 ms 235068 KB Output is correct
16 Correct 112 ms 235100 KB Output is correct
17 Correct 111 ms 235136 KB Output is correct
18 Correct 108 ms 235132 KB Output is correct
19 Correct 127 ms 235024 KB Output is correct
20 Correct 110 ms 235032 KB Output is correct
21 Correct 113 ms 235120 KB Output is correct
22 Correct 113 ms 235160 KB Output is correct
23 Correct 115 ms 235168 KB Output is correct
24 Correct 119 ms 235128 KB Output is correct
25 Correct 111 ms 235128 KB Output is correct
26 Correct 123 ms 235152 KB Output is correct
27 Correct 125 ms 235212 KB Output is correct
28 Correct 112 ms 235096 KB Output is correct
29 Correct 119 ms 235104 KB Output is correct
30 Correct 107 ms 235052 KB Output is correct
31 Correct 128 ms 235204 KB Output is correct
32 Correct 138 ms 235212 KB Output is correct
33 Correct 119 ms 235120 KB Output is correct
34 Correct 108 ms 235076 KB Output is correct
35 Correct 119 ms 235028 KB Output is correct
36 Correct 125 ms 235184 KB Output is correct
37 Correct 121 ms 235076 KB Output is correct
38 Correct 119 ms 235156 KB Output is correct
39 Correct 115 ms 235124 KB Output is correct
40 Correct 117 ms 235132 KB Output is correct
41 Correct 121 ms 235080 KB Output is correct
42 Correct 112 ms 235052 KB Output is correct
43 Correct 120 ms 235136 KB Output is correct
44 Correct 113 ms 235116 KB Output is correct
45 Correct 120 ms 235056 KB Output is correct
46 Correct 116 ms 235204 KB Output is correct
47 Correct 116 ms 235128 KB Output is correct
48 Correct 117 ms 235108 KB Output is correct
49 Correct 115 ms 235100 KB Output is correct
50 Correct 124 ms 235632 KB Output is correct
51 Correct 135 ms 235424 KB Output is correct
52 Correct 116 ms 235488 KB Output is correct
53 Correct 113 ms 235372 KB Output is correct
54 Correct 113 ms 235236 KB Output is correct
55 Correct 141 ms 235588 KB Output is correct
56 Correct 131 ms 235488 KB Output is correct
57 Correct 116 ms 235460 KB Output is correct
58 Correct 110 ms 235116 KB Output is correct
59 Correct 112 ms 235028 KB Output is correct
60 Correct 135 ms 235296 KB Output is correct
61 Correct 112 ms 235272 KB Output is correct
62 Correct 112 ms 235200 KB Output is correct
63 Correct 119 ms 235204 KB Output is correct
64 Correct 116 ms 235136 KB Output is correct
65 Correct 115 ms 235320 KB Output is correct
66 Correct 108 ms 235084 KB Output is correct
67 Correct 112 ms 235116 KB Output is correct
68 Correct 109 ms 235108 KB Output is correct
69 Correct 137 ms 235048 KB Output is correct
70 Correct 112 ms 235236 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 235096 KB Output is correct
2 Correct 112 ms 235056 KB Output is correct
3 Correct 111 ms 235120 KB Output is correct
4 Correct 114 ms 235124 KB Output is correct
5 Correct 142 ms 235100 KB Output is correct
6 Correct 122 ms 235092 KB Output is correct
7 Correct 108 ms 235100 KB Output is correct
8 Correct 110 ms 235096 KB Output is correct
9 Correct 118 ms 235052 KB Output is correct
10 Correct 111 ms 235064 KB Output is correct
11 Correct 110 ms 235128 KB Output is correct
12 Correct 112 ms 235096 KB Output is correct
13 Correct 113 ms 235108 KB Output is correct
14 Correct 118 ms 235004 KB Output is correct
15 Correct 123 ms 235068 KB Output is correct
16 Correct 112 ms 235100 KB Output is correct
17 Correct 111 ms 235136 KB Output is correct
18 Correct 108 ms 235132 KB Output is correct
19 Correct 127 ms 235024 KB Output is correct
20 Correct 110 ms 235032 KB Output is correct
21 Correct 113 ms 235120 KB Output is correct
22 Correct 113 ms 235160 KB Output is correct
23 Correct 115 ms 235168 KB Output is correct
24 Correct 119 ms 235128 KB Output is correct
25 Correct 111 ms 235128 KB Output is correct
26 Correct 123 ms 235152 KB Output is correct
27 Correct 125 ms 235212 KB Output is correct
28 Correct 112 ms 235096 KB Output is correct
29 Correct 119 ms 235104 KB Output is correct
30 Correct 107 ms 235052 KB Output is correct
31 Correct 128 ms 235204 KB Output is correct
32 Correct 138 ms 235212 KB Output is correct
33 Correct 119 ms 235120 KB Output is correct
34 Correct 108 ms 235076 KB Output is correct
35 Correct 119 ms 235028 KB Output is correct
36 Correct 125 ms 235184 KB Output is correct
37 Correct 121 ms 235076 KB Output is correct
38 Correct 119 ms 235156 KB Output is correct
39 Correct 115 ms 235124 KB Output is correct
40 Correct 117 ms 235132 KB Output is correct
41 Correct 121 ms 235080 KB Output is correct
42 Correct 112 ms 235052 KB Output is correct
43 Correct 120 ms 235136 KB Output is correct
44 Correct 113 ms 235116 KB Output is correct
45 Correct 120 ms 235056 KB Output is correct
46 Correct 116 ms 235204 KB Output is correct
47 Correct 116 ms 235128 KB Output is correct
48 Correct 117 ms 235108 KB Output is correct
49 Correct 115 ms 235100 KB Output is correct
50 Correct 124 ms 235632 KB Output is correct
51 Correct 135 ms 235424 KB Output is correct
52 Correct 116 ms 235488 KB Output is correct
53 Correct 113 ms 235372 KB Output is correct
54 Correct 113 ms 235236 KB Output is correct
55 Correct 141 ms 235588 KB Output is correct
56 Correct 131 ms 235488 KB Output is correct
57 Correct 116 ms 235460 KB Output is correct
58 Correct 110 ms 235116 KB Output is correct
59 Correct 112 ms 235028 KB Output is correct
60 Correct 135 ms 235296 KB Output is correct
61 Correct 112 ms 235272 KB Output is correct
62 Correct 112 ms 235200 KB Output is correct
63 Correct 119 ms 235204 KB Output is correct
64 Correct 116 ms 235136 KB Output is correct
65 Correct 115 ms 235320 KB Output is correct
66 Correct 108 ms 235084 KB Output is correct
67 Correct 112 ms 235116 KB Output is correct
68 Correct 109 ms 235108 KB Output is correct
69 Correct 137 ms 235048 KB Output is correct
70 Correct 112 ms 235236 KB Output is correct
71 Correct 1495 ms 259812 KB Output is correct
72 Correct 921 ms 253764 KB Output is correct
73 Correct 1262 ms 256952 KB Output is correct
74 Correct 664 ms 249860 KB Output is correct
75 Correct 803 ms 250932 KB Output is correct
76 Runtime error 1773 ms 262148 KB Execution killed with signal 9
77 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 235096 KB Output is correct
2 Correct 112 ms 235056 KB Output is correct
3 Correct 111 ms 235120 KB Output is correct
4 Correct 114 ms 235124 KB Output is correct
5 Correct 142 ms 235100 KB Output is correct
6 Correct 122 ms 235092 KB Output is correct
7 Correct 108 ms 235100 KB Output is correct
8 Correct 110 ms 235096 KB Output is correct
9 Correct 118 ms 235052 KB Output is correct
10 Correct 111 ms 235064 KB Output is correct
11 Correct 110 ms 235128 KB Output is correct
12 Correct 112 ms 235096 KB Output is correct
13 Correct 113 ms 235108 KB Output is correct
14 Correct 118 ms 235004 KB Output is correct
15 Correct 123 ms 235068 KB Output is correct
16 Correct 112 ms 235100 KB Output is correct
17 Correct 111 ms 235136 KB Output is correct
18 Correct 108 ms 235132 KB Output is correct
19 Correct 127 ms 235024 KB Output is correct
20 Correct 110 ms 235032 KB Output is correct
21 Correct 113 ms 235120 KB Output is correct
22 Correct 113 ms 235160 KB Output is correct
23 Correct 115 ms 235168 KB Output is correct
24 Correct 119 ms 235128 KB Output is correct
25 Correct 111 ms 235128 KB Output is correct
26 Correct 123 ms 235152 KB Output is correct
27 Correct 125 ms 235212 KB Output is correct
28 Correct 112 ms 235096 KB Output is correct
29 Correct 119 ms 235104 KB Output is correct
30 Correct 107 ms 235052 KB Output is correct
31 Correct 128 ms 235204 KB Output is correct
32 Correct 138 ms 235212 KB Output is correct
33 Correct 119 ms 235120 KB Output is correct
34 Correct 108 ms 235076 KB Output is correct
35 Correct 119 ms 235028 KB Output is correct
36 Correct 125 ms 235184 KB Output is correct
37 Correct 121 ms 235076 KB Output is correct
38 Correct 119 ms 235156 KB Output is correct
39 Correct 115 ms 235124 KB Output is correct
40 Correct 117 ms 235132 KB Output is correct
41 Correct 121 ms 235080 KB Output is correct
42 Correct 112 ms 235052 KB Output is correct
43 Correct 120 ms 235136 KB Output is correct
44 Correct 113 ms 235116 KB Output is correct
45 Correct 120 ms 235056 KB Output is correct
46 Correct 116 ms 235204 KB Output is correct
47 Correct 116 ms 235128 KB Output is correct
48 Correct 117 ms 235108 KB Output is correct
49 Correct 115 ms 235100 KB Output is correct
50 Correct 124 ms 235632 KB Output is correct
51 Correct 135 ms 235424 KB Output is correct
52 Correct 116 ms 235488 KB Output is correct
53 Correct 113 ms 235372 KB Output is correct
54 Correct 113 ms 235236 KB Output is correct
55 Correct 141 ms 235588 KB Output is correct
56 Correct 131 ms 235488 KB Output is correct
57 Correct 116 ms 235460 KB Output is correct
58 Correct 110 ms 235116 KB Output is correct
59 Correct 112 ms 235028 KB Output is correct
60 Correct 135 ms 235296 KB Output is correct
61 Correct 112 ms 235272 KB Output is correct
62 Correct 112 ms 235200 KB Output is correct
63 Correct 119 ms 235204 KB Output is correct
64 Correct 116 ms 235136 KB Output is correct
65 Correct 115 ms 235320 KB Output is correct
66 Correct 108 ms 235084 KB Output is correct
67 Correct 112 ms 235116 KB Output is correct
68 Correct 109 ms 235108 KB Output is correct
69 Correct 137 ms 235048 KB Output is correct
70 Correct 112 ms 235236 KB Output is correct
71 Correct 1495 ms 259812 KB Output is correct
72 Correct 921 ms 253764 KB Output is correct
73 Correct 1262 ms 256952 KB Output is correct
74 Correct 664 ms 249860 KB Output is correct
75 Correct 803 ms 250932 KB Output is correct
76 Runtime error 1773 ms 262148 KB Execution killed with signal 9
77 Halted 0 ms 0 KB -