답안 #798683

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
798683	2023-07-30T23:03:12 Z	Johann	Diversity (CEOI21_diversity)	C++14	64 / 100	7000 ms	13600 KB

diversity

#include "bits/stdc++.h"
using namespace std;

typedef long long ll;
typedef vector<ll> vi;
typedef pair<ll, ll> pii;
typedef vector<pii> vpii;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

const ll INF = 1e18;
int N, Q;
vi A, AA;
ll ans;

vi split(int x)
{
    vi sp;
    int j = 0;
    while (2 * (1 << j) <= x)
    {
        sp.push_back(1 << j);
        x -= 1 << j;
        sp.push_back(1 << j);
        x -= 1 << j;
        ++j;
    }
    j = 0;
    while (x > 0)
    {
        if (x & (1 << j))
            sp.push_back(1 << j), x ^= 1 << j;
        ++j;
    }
    return sp;
}

ll numberOfSubsequences(ll n)
{
    return n * (n + 1) / 2;
}
ll totalLengthOfSubsequences(ll n)
{
    return n * (n + 1) * (n + 1) / 2 - (2 * n + 1) * (n + 1) * n / 6;
}

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

    cin >> N >> Q;
    AA.resize(N);
    for (int i = 0; i < N; ++i)
        cin >> AA[i];

    while (Q--)
    {
        {
            int l, r;
            cin >> l >> r;
            --l;
            A = vi(AA.begin() + l, AA.begin() + r);
        }
        ll n = sz(A);

        vi heatMap(*max_element(all(A)) + 1, 0);
        for (int i = 0; i < sz(A); ++i)
            ++heatMap[A[i]];
        map<int, int> cnts;
        for (int i = 0; i < sz(heatMap); ++i)
            if (heatMap[i])
                ++cnts[heatMap[i]];

        vpii S;
        for (auto it = cnts.begin(); it != cnts.end(); ++it)
            for (int x : split(it->second))
                S.push_back({it->first, x});

        ll pref = 0;
        int num = sz(S);

        vi dp[2];
        for (int foo = 0; foo < 2; ++foo)
            dp[foo].reserve(N + 1), dp[foo].resize(N + 1);
        fill(all(dp[0]), INF);
        dp[0][0] = totalLengthOfSubsequences(n);

        for (int j = 0; j < num; ++j)
        {
            int ii = j & 1;
            int ni = ii ^ 1;
            fill(all(dp[ni]), INF);

            ll x = S[j].first;  // how much
            ll y = S[j].second; // how often
            ll len = x * y;

            ll subsure = 0;
            // if both are in set
            subsure += totalLengthOfSubsequences(len) - x * x * (totalLengthOfSubsequences(y) - y) - y * numberOfSubsequences(x);

            // either with left or right endpoint in set
            ll factor = len * (len + 1) / 2 - x * y * (y + 1) / 2;
            subsure += factor * (n - len);

            for (ll left = 0; left < sz(dp[ii]); ++left)
            {
                ll tmp = dp[ii][left];
                if (tmp == INF)
                    continue;
                tmp -= subsure;

                // left
                dp[ni][left + len] = min(dp[ni][left + len], tmp - (len - y) * left * (n - left - len));
                // right
                ll right = pref - left;
                dp[ni][left] = min(dp[ni][left], tmp - (len - y) * right * (n - right - len));
            }
            pref += len;
        }
        ans = *min_element(all(dp[num & 1]));
        cout << ans << "\n";
    }

    return 0;
}

Subtask #1
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 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	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct

Subtask #2
10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	596 KB	Output is correct
4	Correct	9 ms	3412 KB	Output is correct
5	Correct	13 ms	6484 KB	Output is correct
6	Correct	20 ms	9684 KB	Output is correct
7	Correct	20 ms	9720 KB	Output is correct
8	Correct	23 ms	9828 KB	Output is correct
9	Correct	20 ms	9720 KB	Output is correct
10	Correct	21 ms	9716 KB	Output is correct
11	Correct	20 ms	9716 KB	Output is correct
12	Correct	20 ms	9684 KB	Output is correct
13	Correct	20 ms	9720 KB	Output is correct
14	Correct	19 ms	9720 KB	Output is correct
15	Correct	20 ms	9712 KB	Output is correct

Subtask #3
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	596 KB	Output is correct
4	Correct	9 ms	3412 KB	Output is correct
5	Correct	13 ms	6484 KB	Output is correct
6	Correct	20 ms	9684 KB	Output is correct
7	Correct	20 ms	9720 KB	Output is correct
8	Correct	23 ms	9828 KB	Output is correct
9	Correct	20 ms	9720 KB	Output is correct
10	Correct	21 ms	9716 KB	Output is correct
11	Correct	20 ms	9716 KB	Output is correct
12	Correct	20 ms	9684 KB	Output is correct
13	Correct	20 ms	9720 KB	Output is correct
14	Correct	19 ms	9720 KB	Output is correct
15	Correct	20 ms	9712 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	1 ms	596 KB	Output is correct
19	Correct	9 ms	3412 KB	Output is correct
20	Correct	18 ms	6484 KB	Output is correct
21	Correct	27 ms	9684 KB	Output is correct
22	Correct	27 ms	9684 KB	Output is correct
23	Correct	27 ms	9716 KB	Output is correct
24	Correct	28 ms	9716 KB	Output is correct
25	Correct	28 ms	9684 KB	Output is correct
26	Correct	28 ms	9684 KB	Output is correct
27	Correct	28 ms	9684 KB	Output is correct
28	Correct	27 ms	9724 KB	Output is correct
29	Correct	28 ms	9720 KB	Output is correct
30	Correct	27 ms	9684 KB	Output is correct

Subtask #4
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	596 KB	Output is correct
4	Correct	9 ms	3412 KB	Output is correct
5	Correct	13 ms	6484 KB	Output is correct
6	Correct	20 ms	9684 KB	Output is correct
7	Correct	20 ms	9720 KB	Output is correct
8	Correct	23 ms	9828 KB	Output is correct
9	Correct	20 ms	9720 KB	Output is correct
10	Correct	21 ms	9716 KB	Output is correct
11	Correct	20 ms	9716 KB	Output is correct
12	Correct	20 ms	9684 KB	Output is correct
13	Correct	20 ms	9720 KB	Output is correct
14	Correct	19 ms	9720 KB	Output is correct
15	Correct	20 ms	9712 KB	Output is correct
16	Correct	0 ms	212 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	1 ms	596 KB	Output is correct
19	Correct	9 ms	3412 KB	Output is correct
20	Correct	18 ms	6484 KB	Output is correct
21	Correct	27 ms	9684 KB	Output is correct
22	Correct	27 ms	9684 KB	Output is correct
23	Correct	27 ms	9716 KB	Output is correct
24	Correct	28 ms	9716 KB	Output is correct
25	Correct	28 ms	9684 KB	Output is correct
26	Correct	28 ms	9684 KB	Output is correct
27	Correct	28 ms	9684 KB	Output is correct
28	Correct	27 ms	9724 KB	Output is correct
29	Correct	28 ms	9720 KB	Output is correct
30	Correct	27 ms	9684 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	312 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	2 ms	564 KB	Output is correct
35	Correct	4 ms	652 KB	Output is correct
36	Correct	6 ms	596 KB	Output is correct
37	Correct	36 ms	2004 KB	Output is correct
38	Correct	52 ms	2120 KB	Output is correct
39	Correct	123 ms	3888 KB	Output is correct
40	Correct	281 ms	7404 KB	Output is correct
41	Correct	457 ms	10916 KB	Output is correct
42	Correct	443 ms	10920 KB	Output is correct
43	Correct	466 ms	10912 KB	Output is correct
44	Correct	448 ms	10916 KB	Output is correct
45	Correct	447 ms	11036 KB	Output is correct
46	Correct	438 ms	10856 KB	Output is correct
47	Correct	439 ms	10912 KB	Output is correct
48	Correct	443 ms	10912 KB	Output is correct
49	Correct	442 ms	10916 KB	Output is correct
50	Correct	448 ms	10912 KB	Output is correct
51	Correct	441 ms	10872 KB	Output is correct
52	Correct	447 ms	10972 KB	Output is correct
53	Correct	443 ms	10912 KB	Output is correct
54	Correct	452 ms	10908 KB	Output is correct
55	Correct	450 ms	10912 KB	Output is correct
56	Correct	439 ms	10916 KB	Output is correct
57	Correct	450 ms	10908 KB	Output is correct
58	Correct	443 ms	10828 KB	Output is correct
59	Correct	452 ms	10920 KB	Output is correct
60	Correct	446 ms	10828 KB	Output is correct

Subtask #5
26.0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 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	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	1 ms	596 KB	Output is correct
14	Correct	9 ms	3412 KB	Output is correct
15	Correct	13 ms	6484 KB	Output is correct
16	Correct	20 ms	9684 KB	Output is correct
17	Correct	20 ms	9720 KB	Output is correct
18	Correct	23 ms	9828 KB	Output is correct
19	Correct	20 ms	9720 KB	Output is correct
20	Correct	21 ms	9716 KB	Output is correct
21	Correct	20 ms	9716 KB	Output is correct
22	Correct	20 ms	9684 KB	Output is correct
23	Correct	20 ms	9720 KB	Output is correct
24	Correct	19 ms	9720 KB	Output is correct
25	Correct	20 ms	9712 KB	Output is correct
26	Correct	0 ms	212 KB	Output is correct
27	Correct	0 ms	340 KB	Output is correct
28	Correct	1 ms	596 KB	Output is correct
29	Correct	9 ms	3412 KB	Output is correct
30	Correct	18 ms	6484 KB	Output is correct
31	Correct	27 ms	9684 KB	Output is correct
32	Correct	27 ms	9684 KB	Output is correct
33	Correct	27 ms	9716 KB	Output is correct
34	Correct	28 ms	9716 KB	Output is correct
35	Correct	28 ms	9684 KB	Output is correct
36	Correct	28 ms	9684 KB	Output is correct
37	Correct	28 ms	9684 KB	Output is correct
38	Correct	27 ms	9724 KB	Output is correct
39	Correct	28 ms	9720 KB	Output is correct
40	Correct	27 ms	9684 KB	Output is correct
41	Correct	1 ms	340 KB	Output is correct
42	Correct	1 ms	312 KB	Output is correct
43	Correct	1 ms	340 KB	Output is correct
44	Correct	2 ms	564 KB	Output is correct
45	Correct	4 ms	652 KB	Output is correct
46	Correct	6 ms	596 KB	Output is correct
47	Correct	36 ms	2004 KB	Output is correct
48	Correct	52 ms	2120 KB	Output is correct
49	Correct	123 ms	3888 KB	Output is correct
50	Correct	281 ms	7404 KB	Output is correct
51	Correct	457 ms	10916 KB	Output is correct
52	Correct	443 ms	10920 KB	Output is correct
53	Correct	466 ms	10912 KB	Output is correct
54	Correct	448 ms	10916 KB	Output is correct
55	Correct	447 ms	11036 KB	Output is correct
56	Correct	438 ms	10856 KB	Output is correct
57	Correct	439 ms	10912 KB	Output is correct
58	Correct	443 ms	10912 KB	Output is correct
59	Correct	442 ms	10916 KB	Output is correct
60	Correct	448 ms	10912 KB	Output is correct
61	Correct	441 ms	10872 KB	Output is correct
62	Correct	447 ms	10972 KB	Output is correct
63	Correct	443 ms	10912 KB	Output is correct
64	Correct	452 ms	10908 KB	Output is correct
65	Correct	450 ms	10912 KB	Output is correct
66	Correct	439 ms	10916 KB	Output is correct
67	Correct	450 ms	10908 KB	Output is correct
68	Correct	443 ms	10828 KB	Output is correct
69	Correct	452 ms	10920 KB	Output is correct
70	Correct	446 ms	10828 KB	Output is correct
71	Correct	57 ms	2132 KB	Output is correct
72	Correct	57 ms	2152 KB	Output is correct
73	Correct	58 ms	2132 KB	Output is correct
74	Correct	56 ms	2132 KB	Output is correct
75	Correct	56 ms	2100 KB	Output is correct
76	Correct	152 ms	3944 KB	Output is correct
77	Correct	148 ms	3992 KB	Output is correct
78	Correct	155 ms	3924 KB	Output is correct
79	Correct	147 ms	3924 KB	Output is correct
80	Correct	149 ms	3924 KB	Output is correct
81	Correct	385 ms	7672 KB	Output is correct
82	Correct	390 ms	7668 KB	Output is correct
83	Correct	397 ms	7672 KB	Output is correct
84	Correct	406 ms	7668 KB	Output is correct
85	Correct	401 ms	7684 KB	Output is correct
86	Correct	317 ms	7760 KB	Output is correct
87	Correct	310 ms	7848 KB	Output is correct
88	Correct	311 ms	7968 KB	Output is correct
89	Correct	311 ms	7844 KB	Output is correct
90	Correct	321 ms	7836 KB	Output is correct
91	Correct	272 ms	12244 KB	Output is correct
92	Correct	276 ms	12240 KB	Output is correct
93	Correct	267 ms	12108 KB	Output is correct
94	Correct	261 ms	12128 KB	Output is correct
95	Correct	278 ms	12232 KB	Output is correct
96	Correct	146 ms	13136 KB	Output is correct
97	Correct	155 ms	13168 KB	Output is correct
98	Correct	153 ms	13168 KB	Output is correct
99	Correct	160 ms	13152 KB	Output is correct
100	Correct	157 ms	13172 KB	Output is correct
101	Correct	161 ms	13172 KB	Output is correct
102	Correct	161 ms	13172 KB	Output is correct
103	Correct	155 ms	13044 KB	Output is correct
104	Correct	154 ms	13172 KB	Output is correct
105	Correct	152 ms	13132 KB	Output is correct
106	Correct	123 ms	13516 KB	Output is correct
107	Correct	113 ms	13524 KB	Output is correct
108	Correct	118 ms	13592 KB	Output is correct
109	Correct	114 ms	13476 KB	Output is correct
110	Correct	119 ms	13532 KB	Output is correct
111	Correct	127 ms	13600 KB	Output is correct
112	Correct	110 ms	13536 KB	Output is correct
113	Correct	114 ms	13596 KB	Output is correct
114	Correct	121 ms	13516 KB	Output is correct
115	Correct	123 ms	13600 KB	Output is correct

Subtask #6
0 / 36.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 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	1 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	1 ms	596 KB	Output is correct
14	Correct	9 ms	3412 KB	Output is correct
15	Correct	13 ms	6484 KB	Output is correct
16	Correct	20 ms	9684 KB	Output is correct
17	Correct	20 ms	9720 KB	Output is correct
18	Correct	23 ms	9828 KB	Output is correct
19	Correct	20 ms	9720 KB	Output is correct
20	Correct	21 ms	9716 KB	Output is correct
21	Correct	20 ms	9716 KB	Output is correct
22	Correct	20 ms	9684 KB	Output is correct
23	Correct	20 ms	9720 KB	Output is correct
24	Correct	19 ms	9720 KB	Output is correct
25	Correct	20 ms	9712 KB	Output is correct
26	Correct	0 ms	212 KB	Output is correct
27	Correct	0 ms	340 KB	Output is correct
28	Correct	1 ms	596 KB	Output is correct
29	Correct	9 ms	3412 KB	Output is correct
30	Correct	18 ms	6484 KB	Output is correct
31	Correct	27 ms	9684 KB	Output is correct
32	Correct	27 ms	9684 KB	Output is correct
33	Correct	27 ms	9716 KB	Output is correct
34	Correct	28 ms	9716 KB	Output is correct
35	Correct	28 ms	9684 KB	Output is correct
36	Correct	28 ms	9684 KB	Output is correct
37	Correct	28 ms	9684 KB	Output is correct
38	Correct	27 ms	9724 KB	Output is correct
39	Correct	28 ms	9720 KB	Output is correct
40	Correct	27 ms	9684 KB	Output is correct
41	Correct	1 ms	340 KB	Output is correct
42	Correct	1 ms	312 KB	Output is correct
43	Correct	1 ms	340 KB	Output is correct
44	Correct	2 ms	564 KB	Output is correct
45	Correct	4 ms	652 KB	Output is correct
46	Correct	6 ms	596 KB	Output is correct
47	Correct	36 ms	2004 KB	Output is correct
48	Correct	52 ms	2120 KB	Output is correct
49	Correct	123 ms	3888 KB	Output is correct
50	Correct	281 ms	7404 KB	Output is correct
51	Correct	457 ms	10916 KB	Output is correct
52	Correct	443 ms	10920 KB	Output is correct
53	Correct	466 ms	10912 KB	Output is correct
54	Correct	448 ms	10916 KB	Output is correct
55	Correct	447 ms	11036 KB	Output is correct
56	Correct	438 ms	10856 KB	Output is correct
57	Correct	439 ms	10912 KB	Output is correct
58	Correct	443 ms	10912 KB	Output is correct
59	Correct	442 ms	10916 KB	Output is correct
60	Correct	448 ms	10912 KB	Output is correct
61	Correct	441 ms	10872 KB	Output is correct
62	Correct	447 ms	10972 KB	Output is correct
63	Correct	443 ms	10912 KB	Output is correct
64	Correct	452 ms	10908 KB	Output is correct
65	Correct	450 ms	10912 KB	Output is correct
66	Correct	439 ms	10916 KB	Output is correct
67	Correct	450 ms	10908 KB	Output is correct
68	Correct	443 ms	10828 KB	Output is correct
69	Correct	452 ms	10920 KB	Output is correct
70	Correct	446 ms	10828 KB	Output is correct
71	Correct	57 ms	2132 KB	Output is correct
72	Correct	57 ms	2152 KB	Output is correct
73	Correct	58 ms	2132 KB	Output is correct
74	Correct	56 ms	2132 KB	Output is correct
75	Correct	56 ms	2100 KB	Output is correct
76	Correct	152 ms	3944 KB	Output is correct
77	Correct	148 ms	3992 KB	Output is correct
78	Correct	155 ms	3924 KB	Output is correct
79	Correct	147 ms	3924 KB	Output is correct
80	Correct	149 ms	3924 KB	Output is correct
81	Correct	385 ms	7672 KB	Output is correct
82	Correct	390 ms	7668 KB	Output is correct
83	Correct	397 ms	7672 KB	Output is correct
84	Correct	406 ms	7668 KB	Output is correct
85	Correct	401 ms	7684 KB	Output is correct
86	Correct	317 ms	7760 KB	Output is correct
87	Correct	310 ms	7848 KB	Output is correct
88	Correct	311 ms	7968 KB	Output is correct
89	Correct	311 ms	7844 KB	Output is correct
90	Correct	321 ms	7836 KB	Output is correct
91	Correct	272 ms	12244 KB	Output is correct
92	Correct	276 ms	12240 KB	Output is correct
93	Correct	267 ms	12108 KB	Output is correct
94	Correct	261 ms	12128 KB	Output is correct
95	Correct	278 ms	12232 KB	Output is correct
96	Correct	146 ms	13136 KB	Output is correct
97	Correct	155 ms	13168 KB	Output is correct
98	Correct	153 ms	13168 KB	Output is correct
99	Correct	160 ms	13152 KB	Output is correct
100	Correct	157 ms	13172 KB	Output is correct
101	Correct	161 ms	13172 KB	Output is correct
102	Correct	161 ms	13172 KB	Output is correct
103	Correct	155 ms	13044 KB	Output is correct
104	Correct	154 ms	13172 KB	Output is correct
105	Correct	152 ms	13132 KB	Output is correct
106	Correct	123 ms	13516 KB	Output is correct
107	Correct	113 ms	13524 KB	Output is correct
108	Correct	118 ms	13592 KB	Output is correct
109	Correct	114 ms	13476 KB	Output is correct
110	Correct	119 ms	13532 KB	Output is correct
111	Correct	127 ms	13600 KB	Output is correct
112	Correct	110 ms	13536 KB	Output is correct
113	Correct	114 ms	13596 KB	Output is correct
114	Correct	121 ms	13516 KB	Output is correct
115	Correct	123 ms	13600 KB	Output is correct
116	Execution timed out	7053 ms	1256 KB	Time limit exceeded
117	Halted	0 ms	0 KB	-

답안 #798683

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 10.0 / 10.0

Subtask #3 8.0 / 8.0

Subtask #4 16.0 / 16.0

Subtask #5 26.0 / 26.0

Subtask #6 0 / 36.0

Subtask #1
4.0 / 4.0

Subtask #2
10.0 / 10.0

Subtask #3
8.0 / 8.0

Subtask #4
16.0 / 16.0

Subtask #5
26.0 / 26.0

Subtask #6
0 / 36.0