답안 #798908

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
798908	2023-07-31T06:52:12 Z	Johann	Diversity (CEOI21_diversity)	C++14	64 / 100	7000 ms	13644 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 < min(pref + 1, (ll)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	1 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	1 ms	212 KB	Output is correct
7	Correct	1 ms	328 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 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	1 ms	320 KB	Output is correct
3	Correct	1 ms	548 KB	Output is correct
4	Correct	6 ms	3660 KB	Output is correct
5	Correct	11 ms	6868 KB	Output is correct
6	Correct	19 ms	10344 KB	Output is correct
7	Correct	17 ms	10324 KB	Output is correct
8	Correct	17 ms	10248 KB	Output is correct
9	Correct	17 ms	10344 KB	Output is correct
10	Correct	18 ms	10388 KB	Output is correct
11	Correct	18 ms	10324 KB	Output is correct
12	Correct	18 ms	10324 KB	Output is correct
13	Correct	18 ms	10324 KB	Output is correct
14	Correct	17 ms	10352 KB	Output is correct
15	Correct	17 ms	10452 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	1 ms	320 KB	Output is correct
3	Correct	1 ms	548 KB	Output is correct
4	Correct	6 ms	3660 KB	Output is correct
5	Correct	11 ms	6868 KB	Output is correct
6	Correct	19 ms	10344 KB	Output is correct
7	Correct	17 ms	10324 KB	Output is correct
8	Correct	17 ms	10248 KB	Output is correct
9	Correct	17 ms	10344 KB	Output is correct
10	Correct	18 ms	10388 KB	Output is correct
11	Correct	18 ms	10324 KB	Output is correct
12	Correct	18 ms	10324 KB	Output is correct
13	Correct	18 ms	10324 KB	Output is correct
14	Correct	17 ms	10352 KB	Output is correct
15	Correct	17 ms	10452 KB	Output is correct
16	Correct	1 ms	316 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	596 KB	Output is correct
19	Correct	7 ms	3668 KB	Output is correct
20	Correct	15 ms	7008 KB	Output is correct
21	Correct	22 ms	10452 KB	Output is correct
22	Correct	22 ms	10468 KB	Output is correct
23	Correct	28 ms	10504 KB	Output is correct
24	Correct	23 ms	10476 KB	Output is correct
25	Correct	23 ms	10472 KB	Output is correct
26	Correct	24 ms	10484 KB	Output is correct
27	Correct	23 ms	10472 KB	Output is correct
28	Correct	22 ms	10312 KB	Output is correct
29	Correct	23 ms	10472 KB	Output is correct
30	Correct	23 ms	10384 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	1 ms	320 KB	Output is correct
3	Correct	1 ms	548 KB	Output is correct
4	Correct	6 ms	3660 KB	Output is correct
5	Correct	11 ms	6868 KB	Output is correct
6	Correct	19 ms	10344 KB	Output is correct
7	Correct	17 ms	10324 KB	Output is correct
8	Correct	17 ms	10248 KB	Output is correct
9	Correct	17 ms	10344 KB	Output is correct
10	Correct	18 ms	10388 KB	Output is correct
11	Correct	18 ms	10324 KB	Output is correct
12	Correct	18 ms	10324 KB	Output is correct
13	Correct	18 ms	10324 KB	Output is correct
14	Correct	17 ms	10352 KB	Output is correct
15	Correct	17 ms	10452 KB	Output is correct
16	Correct	1 ms	316 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	596 KB	Output is correct
19	Correct	7 ms	3668 KB	Output is correct
20	Correct	15 ms	7008 KB	Output is correct
21	Correct	22 ms	10452 KB	Output is correct
22	Correct	22 ms	10468 KB	Output is correct
23	Correct	28 ms	10504 KB	Output is correct
24	Correct	23 ms	10476 KB	Output is correct
25	Correct	23 ms	10472 KB	Output is correct
26	Correct	24 ms	10484 KB	Output is correct
27	Correct	23 ms	10472 KB	Output is correct
28	Correct	22 ms	10312 KB	Output is correct
29	Correct	23 ms	10472 KB	Output is correct
30	Correct	23 ms	10384 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	340 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	2 ms	596 KB	Output is correct
35	Correct	3 ms	596 KB	Output is correct
36	Correct	4 ms	596 KB	Output is correct
37	Correct	21 ms	2004 KB	Output is correct
38	Correct	33 ms	2136 KB	Output is correct
39	Correct	75 ms	3884 KB	Output is correct
40	Correct	161 ms	7400 KB	Output is correct
41	Correct	252 ms	10912 KB	Output is correct
42	Correct	255 ms	10828 KB	Output is correct
43	Correct	243 ms	10856 KB	Output is correct
44	Correct	248 ms	10856 KB	Output is correct
45	Correct	267 ms	10848 KB	Output is correct
46	Correct	251 ms	10924 KB	Output is correct
47	Correct	258 ms	10912 KB	Output is correct
48	Correct	247 ms	10836 KB	Output is correct
49	Correct	255 ms	10908 KB	Output is correct
50	Correct	247 ms	10912 KB	Output is correct
51	Correct	251 ms	10916 KB	Output is correct
52	Correct	251 ms	10920 KB	Output is correct
53	Correct	249 ms	10916 KB	Output is correct
54	Correct	246 ms	10912 KB	Output is correct
55	Correct	249 ms	10916 KB	Output is correct
56	Correct	260 ms	10916 KB	Output is correct
57	Correct	252 ms	10828 KB	Output is correct
58	Correct	250 ms	10852 KB	Output is correct
59	Correct	256 ms	10928 KB	Output is correct
60	Correct	252 ms	10904 KB	Output is correct

Subtask #5
26.0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 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	1 ms	212 KB	Output is correct
7	Correct	1 ms	328 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 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	1 ms	320 KB	Output is correct
13	Correct	1 ms	548 KB	Output is correct
14	Correct	6 ms	3660 KB	Output is correct
15	Correct	11 ms	6868 KB	Output is correct
16	Correct	19 ms	10344 KB	Output is correct
17	Correct	17 ms	10324 KB	Output is correct
18	Correct	17 ms	10248 KB	Output is correct
19	Correct	17 ms	10344 KB	Output is correct
20	Correct	18 ms	10388 KB	Output is correct
21	Correct	18 ms	10324 KB	Output is correct
22	Correct	18 ms	10324 KB	Output is correct
23	Correct	18 ms	10324 KB	Output is correct
24	Correct	17 ms	10352 KB	Output is correct
25	Correct	17 ms	10452 KB	Output is correct
26	Correct	1 ms	316 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	596 KB	Output is correct
29	Correct	7 ms	3668 KB	Output is correct
30	Correct	15 ms	7008 KB	Output is correct
31	Correct	22 ms	10452 KB	Output is correct
32	Correct	22 ms	10468 KB	Output is correct
33	Correct	28 ms	10504 KB	Output is correct
34	Correct	23 ms	10476 KB	Output is correct
35	Correct	23 ms	10472 KB	Output is correct
36	Correct	24 ms	10484 KB	Output is correct
37	Correct	23 ms	10472 KB	Output is correct
38	Correct	22 ms	10312 KB	Output is correct
39	Correct	23 ms	10472 KB	Output is correct
40	Correct	23 ms	10384 KB	Output is correct
41	Correct	1 ms	340 KB	Output is correct
42	Correct	1 ms	340 KB	Output is correct
43	Correct	1 ms	340 KB	Output is correct
44	Correct	2 ms	596 KB	Output is correct
45	Correct	3 ms	596 KB	Output is correct
46	Correct	4 ms	596 KB	Output is correct
47	Correct	21 ms	2004 KB	Output is correct
48	Correct	33 ms	2136 KB	Output is correct
49	Correct	75 ms	3884 KB	Output is correct
50	Correct	161 ms	7400 KB	Output is correct
51	Correct	252 ms	10912 KB	Output is correct
52	Correct	255 ms	10828 KB	Output is correct
53	Correct	243 ms	10856 KB	Output is correct
54	Correct	248 ms	10856 KB	Output is correct
55	Correct	267 ms	10848 KB	Output is correct
56	Correct	251 ms	10924 KB	Output is correct
57	Correct	258 ms	10912 KB	Output is correct
58	Correct	247 ms	10836 KB	Output is correct
59	Correct	255 ms	10908 KB	Output is correct
60	Correct	247 ms	10912 KB	Output is correct
61	Correct	251 ms	10916 KB	Output is correct
62	Correct	251 ms	10920 KB	Output is correct
63	Correct	249 ms	10916 KB	Output is correct
64	Correct	246 ms	10912 KB	Output is correct
65	Correct	249 ms	10916 KB	Output is correct
66	Correct	260 ms	10916 KB	Output is correct
67	Correct	252 ms	10828 KB	Output is correct
68	Correct	250 ms	10852 KB	Output is correct
69	Correct	256 ms	10928 KB	Output is correct
70	Correct	252 ms	10904 KB	Output is correct
71	Correct	39 ms	2132 KB	Output is correct
72	Correct	39 ms	2132 KB	Output is correct
73	Correct	39 ms	2092 KB	Output is correct
74	Correct	42 ms	2164 KB	Output is correct
75	Correct	39 ms	2132 KB	Output is correct
76	Correct	110 ms	3924 KB	Output is correct
77	Correct	109 ms	4004 KB	Output is correct
78	Correct	110 ms	3924 KB	Output is correct
79	Correct	117 ms	3992 KB	Output is correct
80	Correct	108 ms	3916 KB	Output is correct
81	Correct	286 ms	7676 KB	Output is correct
82	Correct	298 ms	7672 KB	Output is correct
83	Correct	288 ms	7652 KB	Output is correct
84	Correct	294 ms	7636 KB	Output is correct
85	Correct	298 ms	7636 KB	Output is correct
86	Correct	245 ms	7824 KB	Output is correct
87	Correct	246 ms	7844 KB	Output is correct
88	Correct	241 ms	7960 KB	Output is correct
89	Correct	245 ms	7840 KB	Output is correct
90	Correct	243 ms	7844 KB	Output is correct
91	Correct	239 ms	12240 KB	Output is correct
92	Correct	231 ms	12244 KB	Output is correct
93	Correct	246 ms	12236 KB	Output is correct
94	Correct	224 ms	12236 KB	Output is correct
95	Correct	232 ms	12240 KB	Output is correct
96	Correct	137 ms	13172 KB	Output is correct
97	Correct	138 ms	13172 KB	Output is correct
98	Correct	139 ms	13160 KB	Output is correct
99	Correct	137 ms	13168 KB	Output is correct
100	Correct	137 ms	13152 KB	Output is correct
101	Correct	148 ms	13260 KB	Output is correct
102	Correct	140 ms	13132 KB	Output is correct
103	Correct	137 ms	13180 KB	Output is correct
104	Correct	139 ms	13132 KB	Output is correct
105	Correct	145 ms	13264 KB	Output is correct
106	Correct	107 ms	13536 KB	Output is correct
107	Correct	101 ms	13596 KB	Output is correct
108	Correct	106 ms	13600 KB	Output is correct
109	Correct	101 ms	13544 KB	Output is correct
110	Correct	109 ms	13644 KB	Output is correct
111	Correct	105 ms	13524 KB	Output is correct
112	Correct	97 ms	13524 KB	Output is correct
113	Correct	99 ms	13532 KB	Output is correct
114	Correct	105 ms	13516 KB	Output is correct
115	Correct	103 ms	13532 KB	Output is correct

Subtask #6
0 / 36.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 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	1 ms	212 KB	Output is correct
7	Correct	1 ms	328 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 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	1 ms	320 KB	Output is correct
13	Correct	1 ms	548 KB	Output is correct
14	Correct	6 ms	3660 KB	Output is correct
15	Correct	11 ms	6868 KB	Output is correct
16	Correct	19 ms	10344 KB	Output is correct
17	Correct	17 ms	10324 KB	Output is correct
18	Correct	17 ms	10248 KB	Output is correct
19	Correct	17 ms	10344 KB	Output is correct
20	Correct	18 ms	10388 KB	Output is correct
21	Correct	18 ms	10324 KB	Output is correct
22	Correct	18 ms	10324 KB	Output is correct
23	Correct	18 ms	10324 KB	Output is correct
24	Correct	17 ms	10352 KB	Output is correct
25	Correct	17 ms	10452 KB	Output is correct
26	Correct	1 ms	316 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	596 KB	Output is correct
29	Correct	7 ms	3668 KB	Output is correct
30	Correct	15 ms	7008 KB	Output is correct
31	Correct	22 ms	10452 KB	Output is correct
32	Correct	22 ms	10468 KB	Output is correct
33	Correct	28 ms	10504 KB	Output is correct
34	Correct	23 ms	10476 KB	Output is correct
35	Correct	23 ms	10472 KB	Output is correct
36	Correct	24 ms	10484 KB	Output is correct
37	Correct	23 ms	10472 KB	Output is correct
38	Correct	22 ms	10312 KB	Output is correct
39	Correct	23 ms	10472 KB	Output is correct
40	Correct	23 ms	10384 KB	Output is correct
41	Correct	1 ms	340 KB	Output is correct
42	Correct	1 ms	340 KB	Output is correct
43	Correct	1 ms	340 KB	Output is correct
44	Correct	2 ms	596 KB	Output is correct
45	Correct	3 ms	596 KB	Output is correct
46	Correct	4 ms	596 KB	Output is correct
47	Correct	21 ms	2004 KB	Output is correct
48	Correct	33 ms	2136 KB	Output is correct
49	Correct	75 ms	3884 KB	Output is correct
50	Correct	161 ms	7400 KB	Output is correct
51	Correct	252 ms	10912 KB	Output is correct
52	Correct	255 ms	10828 KB	Output is correct
53	Correct	243 ms	10856 KB	Output is correct
54	Correct	248 ms	10856 KB	Output is correct
55	Correct	267 ms	10848 KB	Output is correct
56	Correct	251 ms	10924 KB	Output is correct
57	Correct	258 ms	10912 KB	Output is correct
58	Correct	247 ms	10836 KB	Output is correct
59	Correct	255 ms	10908 KB	Output is correct
60	Correct	247 ms	10912 KB	Output is correct
61	Correct	251 ms	10916 KB	Output is correct
62	Correct	251 ms	10920 KB	Output is correct
63	Correct	249 ms	10916 KB	Output is correct
64	Correct	246 ms	10912 KB	Output is correct
65	Correct	249 ms	10916 KB	Output is correct
66	Correct	260 ms	10916 KB	Output is correct
67	Correct	252 ms	10828 KB	Output is correct
68	Correct	250 ms	10852 KB	Output is correct
69	Correct	256 ms	10928 KB	Output is correct
70	Correct	252 ms	10904 KB	Output is correct
71	Correct	39 ms	2132 KB	Output is correct
72	Correct	39 ms	2132 KB	Output is correct
73	Correct	39 ms	2092 KB	Output is correct
74	Correct	42 ms	2164 KB	Output is correct
75	Correct	39 ms	2132 KB	Output is correct
76	Correct	110 ms	3924 KB	Output is correct
77	Correct	109 ms	4004 KB	Output is correct
78	Correct	110 ms	3924 KB	Output is correct
79	Correct	117 ms	3992 KB	Output is correct
80	Correct	108 ms	3916 KB	Output is correct
81	Correct	286 ms	7676 KB	Output is correct
82	Correct	298 ms	7672 KB	Output is correct
83	Correct	288 ms	7652 KB	Output is correct
84	Correct	294 ms	7636 KB	Output is correct
85	Correct	298 ms	7636 KB	Output is correct
86	Correct	245 ms	7824 KB	Output is correct
87	Correct	246 ms	7844 KB	Output is correct
88	Correct	241 ms	7960 KB	Output is correct
89	Correct	245 ms	7840 KB	Output is correct
90	Correct	243 ms	7844 KB	Output is correct
91	Correct	239 ms	12240 KB	Output is correct
92	Correct	231 ms	12244 KB	Output is correct
93	Correct	246 ms	12236 KB	Output is correct
94	Correct	224 ms	12236 KB	Output is correct
95	Correct	232 ms	12240 KB	Output is correct
96	Correct	137 ms	13172 KB	Output is correct
97	Correct	138 ms	13172 KB	Output is correct
98	Correct	139 ms	13160 KB	Output is correct
99	Correct	137 ms	13168 KB	Output is correct
100	Correct	137 ms	13152 KB	Output is correct
101	Correct	148 ms	13260 KB	Output is correct
102	Correct	140 ms	13132 KB	Output is correct
103	Correct	137 ms	13180 KB	Output is correct
104	Correct	139 ms	13132 KB	Output is correct
105	Correct	145 ms	13264 KB	Output is correct
106	Correct	107 ms	13536 KB	Output is correct
107	Correct	101 ms	13596 KB	Output is correct
108	Correct	106 ms	13600 KB	Output is correct
109	Correct	101 ms	13544 KB	Output is correct
110	Correct	109 ms	13644 KB	Output is correct
111	Correct	105 ms	13524 KB	Output is correct
112	Correct	97 ms	13524 KB	Output is correct
113	Correct	99 ms	13532 KB	Output is correct
114	Correct	105 ms	13516 KB	Output is correct
115	Correct	103 ms	13532 KB	Output is correct
116	Execution timed out	7003 ms	1484 KB	Time limit exceeded
117	Halted	0 ms	0 KB	-

답안 #798908

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