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답안 #464957

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
464957 2021-08-14T15:06:41 Z idk321 Toys (CEOI18_toy) C++17
79 / 100
 5000 ms 72428 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

unordered_map<int, unordered_set<int>> possibleAt;

const int N = 5000000;

int divFac[N];


void getDivisors(vector<int>& divisors, vector<array<int, 2>>& freqs, int ind, int cur) {
    if (ind == freqs.size()) {
        divisors.push_back(cur);
        return;
    }
    for (int i = 0; i <= (freqs[ind][1]); i++) {
        getDivisors(divisors, freqs, ind + 1, cur);
        cur *= freqs[ind][0];
    }
}

void solveFor(int num) {
    if (possibleAt.find(num) != possibleAt.end()) return;
    possibleAt[num].insert(num - 1);
    if (num < N) {
        map<int, int> mapp;
        int cnum = num;
        while (cnum != 1) {
            mapp[divFac[cnum]]++;
            cnum /= divFac[cnum];
        }
        vector<int> divisors;
        vector<array<int, 2>> freqs;
        for (auto it = mapp.begin(); it != mapp.end(); it++) freqs.push_back({it->first, it->second});
        getDivisors(divisors, freqs, 0, 1);
        for (int divisor : divisors) {
            if (divisor != 1 && divisor <= num / 2) {
                solveFor(divisor);
                solveFor(num / divisor);
                for (auto it = possibleAt[divisor].begin(); it != possibleAt[divisor].end(); it++) {
                    for (auto it2 = possibleAt[num / divisor].begin(); it2 != possibleAt[num / divisor].end(); it2++) {
                        possibleAt[num].insert(*it + *it2);
                    }
                }
            }
        }
    } else {
        int cur = 2;
        while (cur * cur <= num) {
            if (num % cur == 0) {
                solveFor(cur);
                solveFor(num / cur);
                for (auto it = possibleAt[cur].begin(); it != possibleAt[cur].end(); it++) {
                    for (auto it2 = possibleAt[num / cur].begin(); it2 != possibleAt[num / cur].end(); it2++) {
                        possibleAt[num].insert(*it + *it2);
                    }
                }

            }
            cur++;
        }

    }
}

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


    for (int i = 2; i < N; i++) {
        if (!divFac[i]) {
            divFac[i] = i;
            for (int j = i; j < N; j += i) {
                divFac[j] = i;
            }
        }
    }

    int n;
    cin  >> n;
    solveFor(n);
    cout << possibleAt[n].size() << "\n";
    vector<int> res(possibleAt[n].begin(), possibleAt[n].end());
    sort(res.begin(), res.end());
    for (int i : res) cout << i << " ";
    cout << "\n";
}

Compilation message

toy.cpp: In function 'void getDivisors(std::vector<int>&, std::vector<std::array<int, 2> >&, int, int)':
toy.cpp:14:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   14 |     if (ind == freqs.size()) {
      |         ~~~~^~~~~~~~~~~~~~~

Subtask #1
19.0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 93 ms 19788 KB Output is correct
2 Correct 91 ms 19864 KB Output is correct
3 Correct 95 ms 19788 KB Output is correct
4 Correct 97 ms 19788 KB Output is correct
5 Correct 94 ms 19872 KB Output is correct
6 Correct 95 ms 19856 KB Output is correct
7 Correct 91 ms 19864 KB Output is correct
8 Correct 91 ms 19788 KB Output is correct
9 Correct 91 ms 19856 KB Output is correct
10 Correct 95 ms 19864 KB Output is correct
11 Correct 94 ms 19852 KB Output is correct
12 Correct 92 ms 19764 KB Output is correct
13 Correct 93 ms 19856 KB Output is correct
14 Correct 93 ms 19788 KB Output is correct
15 Correct 98 ms 19856 KB Output is correct
16 Correct 93 ms 19868 KB Output is correct
17 Correct 95 ms 19788 KB Output is correct
18 Correct 93 ms 19856 KB Output is correct
19 Correct 97 ms 19860 KB Output is correct
20 Correct 93 ms 19788 KB Output is correct
21 Correct 97 ms 19856 KB Output is correct
22 Correct 100 ms 19952 KB Output is correct
23 Correct 91 ms 19812 KB Output is correct
24 Correct 93 ms 19856 KB Output is correct
25 Correct 92 ms 19788 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 93 ms 19788 KB Output is correct
2 Correct 91 ms 19864 KB Output is correct
3 Correct 95 ms 19788 KB Output is correct
4 Correct 97 ms 19788 KB Output is correct
5 Correct 94 ms 19872 KB Output is correct
6 Correct 95 ms 19856 KB Output is correct
7 Correct 91 ms 19864 KB Output is correct
8 Correct 91 ms 19788 KB Output is correct
9 Correct 91 ms 19856 KB Output is correct
10 Correct 95 ms 19864 KB Output is correct
11 Correct 94 ms 19852 KB Output is correct
12 Correct 92 ms 19764 KB Output is correct
13 Correct 93 ms 19856 KB Output is correct
14 Correct 93 ms 19788 KB Output is correct
15 Correct 98 ms 19856 KB Output is correct
16 Correct 93 ms 19868 KB Output is correct
17 Correct 95 ms 19788 KB Output is correct
18 Correct 93 ms 19856 KB Output is correct
19 Correct 97 ms 19860 KB Output is correct
20 Correct 93 ms 19788 KB Output is correct
21 Correct 97 ms 19856 KB Output is correct
22 Correct 100 ms 19952 KB Output is correct
23 Correct 91 ms 19812 KB Output is correct
24 Correct 93 ms 19856 KB Output is correct
25 Correct 92 ms 19788 KB Output is correct
26 Correct 99 ms 19928 KB Output is correct
27 Correct 93 ms 19872 KB Output is correct
28 Correct 103 ms 19860 KB Output is correct
29 Correct 99 ms 19860 KB Output is correct
30 Correct 94 ms 19908 KB Output is correct
31 Correct 94 ms 19908 KB Output is correct
32 Correct 94 ms 19888 KB Output is correct
33 Correct 96 ms 19852 KB Output is correct
34 Correct 93 ms 19860 KB Output is correct
35 Correct 92 ms 19788 KB Output is correct
36 Correct 102 ms 19856 KB Output is correct
37 Correct 91 ms 19856 KB Output is correct
38 Correct 95 ms 19872 KB Output is correct
39 Correct 97 ms 19788 KB Output is correct
40 Correct 97 ms 19860 KB Output is correct
41 Correct 94 ms 19956 KB Output is correct
42 Correct 100 ms 19788 KB Output is correct
43 Correct 95 ms 19860 KB Output is correct
44 Correct 91 ms 19788 KB Output is correct
45 Correct 94 ms 19788 KB Output is correct
46 Correct 92 ms 19872 KB Output is correct
47 Correct 98 ms 19868 KB Output is correct
48 Correct 98 ms 19788 KB Output is correct
49 Correct 92 ms 19860 KB Output is correct

Subtask #3
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 93 ms 19788 KB Output is correct
2 Correct 91 ms 19864 KB Output is correct
3 Correct 95 ms 19788 KB Output is correct
4 Correct 97 ms 19788 KB Output is correct
5 Correct 94 ms 19872 KB Output is correct
6 Correct 95 ms 19856 KB Output is correct
7 Correct 91 ms 19864 KB Output is correct
8 Correct 91 ms 19788 KB Output is correct
9 Correct 91 ms 19856 KB Output is correct
10 Correct 95 ms 19864 KB Output is correct
11 Correct 94 ms 19852 KB Output is correct
12 Correct 92 ms 19764 KB Output is correct
13 Correct 93 ms 19856 KB Output is correct
14 Correct 93 ms 19788 KB Output is correct
15 Correct 98 ms 19856 KB Output is correct
16 Correct 93 ms 19868 KB Output is correct
17 Correct 95 ms 19788 KB Output is correct
18 Correct 93 ms 19856 KB Output is correct
19 Correct 97 ms 19860 KB Output is correct
20 Correct 93 ms 19788 KB Output is correct
21 Correct 97 ms 19856 KB Output is correct
22 Correct 100 ms 19952 KB Output is correct
23 Correct 91 ms 19812 KB Output is correct
24 Correct 93 ms 19856 KB Output is correct
25 Correct 92 ms 19788 KB Output is correct
26 Correct 99 ms 19928 KB Output is correct
27 Correct 93 ms 19872 KB Output is correct
28 Correct 103 ms 19860 KB Output is correct
29 Correct 99 ms 19860 KB Output is correct
30 Correct 94 ms 19908 KB Output is correct
31 Correct 94 ms 19908 KB Output is correct
32 Correct 94 ms 19888 KB Output is correct
33 Correct 96 ms 19852 KB Output is correct
34 Correct 93 ms 19860 KB Output is correct
35 Correct 92 ms 19788 KB Output is correct
36 Correct 102 ms 19856 KB Output is correct
37 Correct 91 ms 19856 KB Output is correct
38 Correct 95 ms 19872 KB Output is correct
39 Correct 97 ms 19788 KB Output is correct
40 Correct 97 ms 19860 KB Output is correct
41 Correct 94 ms 19956 KB Output is correct
42 Correct 100 ms 19788 KB Output is correct
43 Correct 95 ms 19860 KB Output is correct
44 Correct 91 ms 19788 KB Output is correct
45 Correct 94 ms 19788 KB Output is correct
46 Correct 92 ms 19872 KB Output is correct
47 Correct 98 ms 19868 KB Output is correct
48 Correct 98 ms 19788 KB Output is correct
49 Correct 92 ms 19860 KB Output is correct
50 Correct 99 ms 20128 KB Output is correct
51 Correct 104 ms 20036 KB Output is correct
52 Correct 106 ms 20132 KB Output is correct
53 Correct 99 ms 20004 KB Output is correct
54 Correct 98 ms 19908 KB Output is correct
55 Correct 111 ms 20112 KB Output is correct
56 Correct 109 ms 20128 KB Output is correct
57 Correct 102 ms 20116 KB Output is correct
58 Correct 91 ms 19760 KB Output is correct
59 Correct 93 ms 19864 KB Output is correct
60 Correct 93 ms 19908 KB Output is correct
61 Correct 107 ms 19988 KB Output is correct
62 Correct 96 ms 19916 KB Output is correct
63 Correct 95 ms 19860 KB Output is correct
64 Correct 98 ms 19864 KB Output is correct
65 Correct 100 ms 19988 KB Output is correct
66 Correct 94 ms 19788 KB Output is correct
67 Correct 94 ms 19864 KB Output is correct
68 Correct 102 ms 19788 KB Output is correct
69 Correct 97 ms 19860 KB Output is correct
70 Correct 93 ms 19864 KB Output is correct

Subtask #4
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 93 ms 19788 KB Output is correct
2 Correct 91 ms 19864 KB Output is correct
3 Correct 95 ms 19788 KB Output is correct
4 Correct 97 ms 19788 KB Output is correct
5 Correct 94 ms 19872 KB Output is correct
6 Correct 95 ms 19856 KB Output is correct
7 Correct 91 ms 19864 KB Output is correct
8 Correct 91 ms 19788 KB Output is correct
9 Correct 91 ms 19856 KB Output is correct
10 Correct 95 ms 19864 KB Output is correct
11 Correct 94 ms 19852 KB Output is correct
12 Correct 92 ms 19764 KB Output is correct
13 Correct 93 ms 19856 KB Output is correct
14 Correct 93 ms 19788 KB Output is correct
15 Correct 98 ms 19856 KB Output is correct
16 Correct 93 ms 19868 KB Output is correct
17 Correct 95 ms 19788 KB Output is correct
18 Correct 93 ms 19856 KB Output is correct
19 Correct 97 ms 19860 KB Output is correct
20 Correct 93 ms 19788 KB Output is correct
21 Correct 97 ms 19856 KB Output is correct
22 Correct 100 ms 19952 KB Output is correct
23 Correct 91 ms 19812 KB Output is correct
24 Correct 93 ms 19856 KB Output is correct
25 Correct 92 ms 19788 KB Output is correct
26 Correct 99 ms 19928 KB Output is correct
27 Correct 93 ms 19872 KB Output is correct
28 Correct 103 ms 19860 KB Output is correct
29 Correct 99 ms 19860 KB Output is correct
30 Correct 94 ms 19908 KB Output is correct
31 Correct 94 ms 19908 KB Output is correct
32 Correct 94 ms 19888 KB Output is correct
33 Correct 96 ms 19852 KB Output is correct
34 Correct 93 ms 19860 KB Output is correct
35 Correct 92 ms 19788 KB Output is correct
36 Correct 102 ms 19856 KB Output is correct
37 Correct 91 ms 19856 KB Output is correct
38 Correct 95 ms 19872 KB Output is correct
39 Correct 97 ms 19788 KB Output is correct
40 Correct 97 ms 19860 KB Output is correct
41 Correct 94 ms 19956 KB Output is correct
42 Correct 100 ms 19788 KB Output is correct
43 Correct 95 ms 19860 KB Output is correct
44 Correct 91 ms 19788 KB Output is correct
45 Correct 94 ms 19788 KB Output is correct
46 Correct 92 ms 19872 KB Output is correct
47 Correct 98 ms 19868 KB Output is correct
48 Correct 98 ms 19788 KB Output is correct
49 Correct 92 ms 19860 KB Output is correct
50 Correct 99 ms 20128 KB Output is correct
51 Correct 104 ms 20036 KB Output is correct
52 Correct 106 ms 20132 KB Output is correct
53 Correct 99 ms 20004 KB Output is correct
54 Correct 98 ms 19908 KB Output is correct
55 Correct 111 ms 20112 KB Output is correct
56 Correct 109 ms 20128 KB Output is correct
57 Correct 102 ms 20116 KB Output is correct
58 Correct 91 ms 19760 KB Output is correct
59 Correct 93 ms 19864 KB Output is correct
60 Correct 93 ms 19908 KB Output is correct
61 Correct 107 ms 19988 KB Output is correct
62 Correct 96 ms 19916 KB Output is correct
63 Correct 95 ms 19860 KB Output is correct
64 Correct 98 ms 19864 KB Output is correct
65 Correct 100 ms 19988 KB Output is correct
66 Correct 94 ms 19788 KB Output is correct
67 Correct 94 ms 19864 KB Output is correct
68 Correct 102 ms 19788 KB Output is correct
69 Correct 97 ms 19860 KB Output is correct
70 Correct 93 ms 19864 KB Output is correct
71 Correct 1280 ms 36648 KB Output is correct
72 Correct 824 ms 32460 KB Output is correct
73 Correct 1572 ms 34768 KB Output is correct
74 Correct 662 ms 29796 KB Output is correct
75 Correct 899 ms 30440 KB Output is correct
76 Correct 2766 ms 42460 KB Output is correct
77 Correct 3063 ms 39840 KB Output is correct
78 Correct 2198 ms 38632 KB Output is correct
79 Correct 2333 ms 38124 KB Output is correct
80 Correct 93 ms 19864 KB Output is correct
81 Correct 97 ms 19864 KB Output is correct
82 Correct 108 ms 20112 KB Output is correct
83 Correct 373 ms 22800 KB Output is correct
84 Correct 355 ms 23620 KB Output is correct
85 Correct 139 ms 20944 KB Output is correct
86 Correct 97 ms 19788 KB Output is correct
87 Correct 363 ms 24108 KB Output is correct
88 Correct 102 ms 19788 KB Output is correct
89 Correct 98 ms 19796 KB Output is correct
90 Correct 93 ms 19860 KB Output is correct
91 Correct 139 ms 21520 KB Output is correct
92 Correct 265 ms 25640 KB Output is correct

Subtask #5
0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 93 ms 19788 KB Output is correct
2 Correct 91 ms 19864 KB Output is correct
3 Correct 95 ms 19788 KB Output is correct
4 Correct 97 ms 19788 KB Output is correct
5 Correct 94 ms 19872 KB Output is correct
6 Correct 95 ms 19856 KB Output is correct
7 Correct 91 ms 19864 KB Output is correct
8 Correct 91 ms 19788 KB Output is correct
9 Correct 91 ms 19856 KB Output is correct
10 Correct 95 ms 19864 KB Output is correct
11 Correct 94 ms 19852 KB Output is correct
12 Correct 92 ms 19764 KB Output is correct
13 Correct 93 ms 19856 KB Output is correct
14 Correct 93 ms 19788 KB Output is correct
15 Correct 98 ms 19856 KB Output is correct
16 Correct 93 ms 19868 KB Output is correct
17 Correct 95 ms 19788 KB Output is correct
18 Correct 93 ms 19856 KB Output is correct
19 Correct 97 ms 19860 KB Output is correct
20 Correct 93 ms 19788 KB Output is correct
21 Correct 97 ms 19856 KB Output is correct
22 Correct 100 ms 19952 KB Output is correct
23 Correct 91 ms 19812 KB Output is correct
24 Correct 93 ms 19856 KB Output is correct
25 Correct 92 ms 19788 KB Output is correct
26 Correct 99 ms 19928 KB Output is correct
27 Correct 93 ms 19872 KB Output is correct
28 Correct 103 ms 19860 KB Output is correct
29 Correct 99 ms 19860 KB Output is correct
30 Correct 94 ms 19908 KB Output is correct
31 Correct 94 ms 19908 KB Output is correct
32 Correct 94 ms 19888 KB Output is correct
33 Correct 96 ms 19852 KB Output is correct
34 Correct 93 ms 19860 KB Output is correct
35 Correct 92 ms 19788 KB Output is correct
36 Correct 102 ms 19856 KB Output is correct
37 Correct 91 ms 19856 KB Output is correct
38 Correct 95 ms 19872 KB Output is correct
39 Correct 97 ms 19788 KB Output is correct
40 Correct 97 ms 19860 KB Output is correct
41 Correct 94 ms 19956 KB Output is correct
42 Correct 100 ms 19788 KB Output is correct
43 Correct 95 ms 19860 KB Output is correct
44 Correct 91 ms 19788 KB Output is correct
45 Correct 94 ms 19788 KB Output is correct
46 Correct 92 ms 19872 KB Output is correct
47 Correct 98 ms 19868 KB Output is correct
48 Correct 98 ms 19788 KB Output is correct
49 Correct 92 ms 19860 KB Output is correct
50 Correct 99 ms 20128 KB Output is correct
51 Correct 104 ms 20036 KB Output is correct
52 Correct 106 ms 20132 KB Output is correct
53 Correct 99 ms 20004 KB Output is correct
54 Correct 98 ms 19908 KB Output is correct
55 Correct 111 ms 20112 KB Output is correct
56 Correct 109 ms 20128 KB Output is correct
57 Correct 102 ms 20116 KB Output is correct
58 Correct 91 ms 19760 KB Output is correct
59 Correct 93 ms 19864 KB Output is correct
60 Correct 93 ms 19908 KB Output is correct
61 Correct 107 ms 19988 KB Output is correct
62 Correct 96 ms 19916 KB Output is correct
63 Correct 95 ms 19860 KB Output is correct
64 Correct 98 ms 19864 KB Output is correct
65 Correct 100 ms 19988 KB Output is correct
66 Correct 94 ms 19788 KB Output is correct
67 Correct 94 ms 19864 KB Output is correct
68 Correct 102 ms 19788 KB Output is correct
69 Correct 97 ms 19860 KB Output is correct
70 Correct 93 ms 19864 KB Output is correct
71 Correct 1280 ms 36648 KB Output is correct
72 Correct 824 ms 32460 KB Output is correct
73 Correct 1572 ms 34768 KB Output is correct
74 Correct 662 ms 29796 KB Output is correct
75 Correct 899 ms 30440 KB Output is correct
76 Correct 2766 ms 42460 KB Output is correct
77 Correct 3063 ms 39840 KB Output is correct
78 Correct 2198 ms 38632 KB Output is correct
79 Correct 2333 ms 38124 KB Output is correct
80 Correct 93 ms 19864 KB Output is correct
81 Correct 97 ms 19864 KB Output is correct
82 Correct 108 ms 20112 KB Output is correct
83 Correct 373 ms 22800 KB Output is correct
84 Correct 355 ms 23620 KB Output is correct
85 Correct 139 ms 20944 KB Output is correct
86 Correct 97 ms 19788 KB Output is correct
87 Correct 363 ms 24108 KB Output is correct
88 Correct 102 ms 19788 KB Output is correct
89 Correct 98 ms 19796 KB Output is correct
90 Correct 93 ms 19860 KB Output is correct
91 Correct 139 ms 21520 KB Output is correct
92 Correct 265 ms 25640 KB Output is correct
93 Execution timed out 5046 ms 72428 KB Time limit exceeded
94 Halted 0 ms 0 KB -