Submission #782265

# Submission time Handle Problem Language Result Execution time Memory
782265 2023-07-13T16:57:49 Z treewave Toys (CEOI18_toy) C++17
100 / 100
1076 ms 235892 KB
#include <bits/stdc++.h>

using namespace std;

vector<int> factors(int n){
    vector<int> ret;
    for (int i = 1; i * i <= n; i++){
        if (n % i == 0){
            ret.push_back(i);
            if (i * i != n){
                ret.push_back(n / i);
            }
        }
    }
    ret.erase(find(ret.begin(), ret.end(), 1));
    return ret;
}

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

    int n; cin >> n;
    if (n == 1){
        cout << 1 << "\n";
        cout << 0 << "\n";
        return 0;
    }
    vector<int> f = factors(n);
    int m = f.size();
    sort(f.begin(), f.end());

    unordered_map<int,int> fac_to_idx;
    for (int i = 0; i < m; i++){
        fac_to_idx[f[i]] = i;
    }

    vector<vector<vector<int>>> dp(m, vector<vector<int>>(m, vector<int>()));
    vector<vector<int>> cum_dp(m, vector<int>());

    for (int i = 0; i < m; i++){
        dp[i][i] = {f[i]-1};
        cum_dp[i] = {f[i]-1};
    }

    for (int i = 1; i < m; i++){
        for (int j = 0; j < i; j++){
            //i is prod, j is last fac
            if (f[i] % f[j] != 0) continue;
            dp[i][j] = cum_dp[fac_to_idx[f[i] / f[j]]];
            for (int k = 0; k < (int)dp[i][j].size(); k++){
                dp[i][j][k] += f[j] - 1;
                cum_dp[i].push_back(dp[i][j][k]);
            }
        }
        sort(cum_dp[i].begin(), cum_dp[i].end());
        cum_dp[i].erase(unique(cum_dp[i].begin(), cum_dp[i].end()), cum_dp[i].end());
    }

//    for (int i = 0; i < m; i++){
//        cout << f[i] << "\n";
//        for (int j = 0; j < cum_dp[i].size(); j++){
//            cout << cum_dp[i][j] << " ";
//        }
//        cout << "\n";
//    }
    cout << cum_dp[m-1].size() << "\n";
    for (int i = 0; i < (int)cum_dp[m-1].size(); i++){
        cout << cum_dp[m-1][i] << " ";
    }
    cout << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 452 KB Output is correct
27 Correct 1 ms 448 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 320 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 316 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 452 KB Output is correct
27 Correct 1 ms 448 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 320 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 316 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 2 ms 980 KB Output is correct
51 Correct 2 ms 964 KB Output is correct
52 Correct 2 ms 832 KB Output is correct
53 Correct 2 ms 832 KB Output is correct
54 Correct 2 ms 596 KB Output is correct
55 Correct 3 ms 1108 KB Output is correct
56 Correct 2 ms 980 KB Output is correct
57 Correct 2 ms 980 KB Output is correct
58 Correct 0 ms 316 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 1 ms 468 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 1 ms 596 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 1 ms 320 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 452 KB Output is correct
27 Correct 1 ms 448 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 320 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 316 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 2 ms 980 KB Output is correct
51 Correct 2 ms 964 KB Output is correct
52 Correct 2 ms 832 KB Output is correct
53 Correct 2 ms 832 KB Output is correct
54 Correct 2 ms 596 KB Output is correct
55 Correct 3 ms 1108 KB Output is correct
56 Correct 2 ms 980 KB Output is correct
57 Correct 2 ms 980 KB Output is correct
58 Correct 0 ms 316 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 1 ms 468 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 1 ms 596 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 1 ms 320 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 596 KB Output is correct
71 Correct 162 ms 44372 KB Output is correct
72 Correct 115 ms 34084 KB Output is correct
73 Correct 149 ms 40652 KB Output is correct
74 Correct 86 ms 25944 KB Output is correct
75 Correct 99 ms 27724 KB Output is correct
76 Correct 244 ms 62288 KB Output is correct
77 Correct 217 ms 53132 KB Output is correct
78 Correct 192 ms 48680 KB Output is correct
79 Correct 192 ms 47992 KB Output is correct
80 Correct 1 ms 212 KB Output is correct
81 Correct 0 ms 212 KB Output is correct
82 Correct 2 ms 596 KB Output is correct
83 Correct 21 ms 5020 KB Output is correct
84 Correct 28 ms 7108 KB Output is correct
85 Correct 6 ms 1620 KB Output is correct
86 Correct 1 ms 340 KB Output is correct
87 Correct 29 ms 7096 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 1 ms 212 KB Output is correct
90 Correct 1 ms 340 KB Output is correct
91 Correct 9 ms 3248 KB Output is correct
92 Correct 41 ms 15112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 452 KB Output is correct
27 Correct 1 ms 448 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 320 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 316 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 2 ms 980 KB Output is correct
51 Correct 2 ms 964 KB Output is correct
52 Correct 2 ms 832 KB Output is correct
53 Correct 2 ms 832 KB Output is correct
54 Correct 2 ms 596 KB Output is correct
55 Correct 3 ms 1108 KB Output is correct
56 Correct 2 ms 980 KB Output is correct
57 Correct 2 ms 980 KB Output is correct
58 Correct 0 ms 316 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 1 ms 468 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 1 ms 596 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 1 ms 320 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 596 KB Output is correct
71 Correct 162 ms 44372 KB Output is correct
72 Correct 115 ms 34084 KB Output is correct
73 Correct 149 ms 40652 KB Output is correct
74 Correct 86 ms 25944 KB Output is correct
75 Correct 99 ms 27724 KB Output is correct
76 Correct 244 ms 62288 KB Output is correct
77 Correct 217 ms 53132 KB Output is correct
78 Correct 192 ms 48680 KB Output is correct
79 Correct 192 ms 47992 KB Output is correct
80 Correct 1 ms 212 KB Output is correct
81 Correct 0 ms 212 KB Output is correct
82 Correct 2 ms 596 KB Output is correct
83 Correct 21 ms 5020 KB Output is correct
84 Correct 28 ms 7108 KB Output is correct
85 Correct 6 ms 1620 KB Output is correct
86 Correct 1 ms 340 KB Output is correct
87 Correct 29 ms 7096 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 1 ms 212 KB Output is correct
90 Correct 1 ms 340 KB Output is correct
91 Correct 9 ms 3248 KB Output is correct
92 Correct 41 ms 15112 KB Output is correct
93 Correct 871 ms 206160 KB Output is correct
94 Correct 482 ms 128020 KB Output is correct
95 Correct 552 ms 141824 KB Output is correct
96 Correct 493 ms 125184 KB Output is correct
97 Correct 452 ms 112480 KB Output is correct
98 Correct 960 ms 225440 KB Output is correct
99 Correct 1076 ms 235892 KB Output is correct
100 Correct 944 ms 222468 KB Output is correct
101 Correct 904 ms 202096 KB Output is correct
102 Correct 788 ms 177984 KB Output is correct
103 Correct 646 ms 152320 KB Output is correct
104 Correct 1 ms 212 KB Output is correct
105 Correct 1 ms 316 KB Output is correct
106 Correct 4 ms 852 KB Output is correct
107 Correct 66 ms 14548 KB Output is correct
108 Correct 174 ms 36332 KB Output is correct
109 Correct 15 ms 3464 KB Output is correct
110 Correct 1 ms 212 KB Output is correct
111 Correct 85 ms 18240 KB Output is correct
112 Correct 1 ms 324 KB Output is correct
113 Correct 1 ms 212 KB Output is correct
114 Correct 3 ms 1620 KB Output is correct
115 Correct 1 ms 212 KB Output is correct
116 Correct 6 ms 2112 KB Output is correct
117 Correct 176 ms 55364 KB Output is correct