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Submission #956734

# Submission time Handle Problem Language Result Execution time Memory
956734 2024-04-02T12:00:51 Z TAhmed33 Diversity (CEOI21_diversity) C++17
64 / 100
 731 ms 13136 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 3e5 + 1;
const int B = 500;
int a[MAXN], n, q;
array <int, 3> queries[MAXN];
ll ans[MAXN];
int freq[MAXN], freq2[MAXN];
set <int> t;
void add (int x) {
	if (freq2[freq[a[x]]] == 1) t.erase(freq[a[x]]);
	freq2[freq[a[x]]]--;
	freq[a[x]]++;
	freq2[freq[a[x]]]++;
	if (freq2[freq[a[x]]] == 1) t.insert(freq[a[x]]);
}
void rem (int x) {
	if (freq2[freq[a[x]]] == 1) t.erase(freq[a[x]]);
	freq2[freq[a[x]]]--;
	freq[a[x]]--;
	freq2[freq[a[x]]]++;
	if (freq2[freq[a[x]]] == 1) t.insert(freq[a[x]]);
}
int main () {
	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n >> q;
	freq2[0] = MAXN; t.insert(0); 
	for (int i = 1; i <= n; i++) cin >> a[i];
	for (int i = 1; i <= q; i++) {
		int l, r; cin >> l >> r;
		queries[i] = {l, r, i};
	}
	sort(queries + 1, queries + q + 1, [&] (array <int, 3> &x, array <int, 3> &y) {
		return x[0] / B == y[0] / B ? x[1] < y[1] : x[0]  / B < y[0] / B;
	});
	int L = queries[1][0] + 1, R = queries[1][0];
	for (int i = 1; i <= q; i++) {
		while (L > queries[i][0]) add(--L);
		while (L < queries[i][0]) rem(L++);
		while (R > queries[i][1]) rem(R--);
		while (R < queries[i][1]) add(++R);
		ll dis = 0; ll n = R - L + 1;
		vector <pair <ll, ll>> pp[2];
		int c = 0;
		for (auto j : t) {
			if (!j) continue;
			dis += freq2[j];
			int x = j, y = freq2[j];
			if (y == 1) {
				pp[c].push_back({x, 1});
				c ^= 1; 
			} else {
				int l = (y + 1) / 2, r = y / 2;
				pp[c].push_back({x, l});
				pp[c ^ 1].push_back({x, r});
				c ^= (y & 1);
			}
		}
		reverse(pp[1].begin(), pp[1].end());
		for (auto j : pp[1]) pp[0].push_back(j);
		ll cur = 0, pref = 0;
		for (auto [x, y] : pp[0]) {
			cur += pref * pref * y + y * (y - 1) / 2 * 2 * pref * x + x * x * (y - 1) * y * (2 * y - 1) / 6 + y * pref + x * y * (y - 1) / 2;
			cur += y * n * n - y * n * pref - n * y * (y + 1) / 2 * x + y * n;
			cur += -y * n * pref + pref * pref * y + pref * y * (y + 1) / 2 * x - y * pref;
			cur += -n * y * (y + 1) / 2 * x + y * (y + 1) / 2 * x * pref + x * x * y * (y + 1) * (2 * y + 1) / 6 - y * (y + 1) / 2 * x;
			pref += x * y;
		}	
		ans[queries[i][2]] = n * (n + 1) / 2 * dis - cur / 2;
	}
	for (int i = 1; i <= q; i++) cout << ans[i] << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 12 ms 6744 KB Output is correct
5 Correct 22 ms 7512 KB Output is correct
6 Correct 47 ms 7684 KB Output is correct
7 Correct 32 ms 8016 KB Output is correct
8 Correct 35 ms 7772 KB Output is correct
9 Correct 35 ms 7764 KB Output is correct
10 Correct 34 ms 7764 KB Output is correct
11 Correct 42 ms 7760 KB Output is correct
12 Correct 35 ms 7784 KB Output is correct
13 Correct 35 ms 7760 KB Output is correct
14 Correct 35 ms 7848 KB Output is correct
15 Correct 34 ms 7764 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 12 ms 6744 KB Output is correct
5 Correct 22 ms 7512 KB Output is correct
6 Correct 47 ms 7684 KB Output is correct
7 Correct 32 ms 8016 KB Output is correct
8 Correct 35 ms 7772 KB Output is correct
9 Correct 35 ms 7764 KB Output is correct
10 Correct 34 ms 7764 KB Output is correct
11 Correct 42 ms 7760 KB Output is correct
12 Correct 35 ms 7784 KB Output is correct
13 Correct 35 ms 7760 KB Output is correct
14 Correct 35 ms 7848 KB Output is correct
15 Correct 34 ms 7764 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 13 ms 6748 KB Output is correct
20 Correct 27 ms 7260 KB Output is correct
21 Correct 38 ms 7768 KB Output is correct
22 Correct 39 ms 7764 KB Output is correct
23 Correct 39 ms 7772 KB Output is correct
24 Correct 39 ms 7504 KB Output is correct
25 Correct 39 ms 7764 KB Output is correct
26 Correct 39 ms 7668 KB Output is correct
27 Correct 38 ms 7760 KB Output is correct
28 Correct 38 ms 7772 KB Output is correct
29 Correct 39 ms 7760 KB Output is correct
30 Correct 39 ms 7764 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 12 ms 6744 KB Output is correct
5 Correct 22 ms 7512 KB Output is correct
6 Correct 47 ms 7684 KB Output is correct
7 Correct 32 ms 8016 KB Output is correct
8 Correct 35 ms 7772 KB Output is correct
9 Correct 35 ms 7764 KB Output is correct
10 Correct 34 ms 7764 KB Output is correct
11 Correct 42 ms 7760 KB Output is correct
12 Correct 35 ms 7784 KB Output is correct
13 Correct 35 ms 7760 KB Output is correct
14 Correct 35 ms 7848 KB Output is correct
15 Correct 34 ms 7764 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 13 ms 6748 KB Output is correct
20 Correct 27 ms 7260 KB Output is correct
21 Correct 38 ms 7768 KB Output is correct
22 Correct 39 ms 7764 KB Output is correct
23 Correct 39 ms 7772 KB Output is correct
24 Correct 39 ms 7504 KB Output is correct
25 Correct 39 ms 7764 KB Output is correct
26 Correct 39 ms 7668 KB Output is correct
27 Correct 38 ms 7760 KB Output is correct
28 Correct 38 ms 7772 KB Output is correct
29 Correct 39 ms 7760 KB Output is correct
30 Correct 39 ms 7764 KB Output is correct
31 Correct 1 ms 6488 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6492 KB Output is correct
34 Correct 2 ms 6488 KB Output is correct
35 Correct 2 ms 6492 KB Output is correct
36 Correct 2 ms 6492 KB Output is correct
37 Correct 5 ms 6492 KB Output is correct
38 Correct 4 ms 6492 KB Output is correct
39 Correct 8 ms 6748 KB Output is correct
40 Correct 19 ms 7268 KB Output is correct
41 Correct 31 ms 7632 KB Output is correct
42 Correct 31 ms 7516 KB Output is correct
43 Correct 32 ms 7472 KB Output is correct
44 Correct 31 ms 7504 KB Output is correct
45 Correct 31 ms 7508 KB Output is correct
46 Correct 30 ms 7648 KB Output is correct
47 Correct 30 ms 7508 KB Output is correct
48 Correct 31 ms 7508 KB Output is correct
49 Correct 30 ms 7516 KB Output is correct
50 Correct 32 ms 7900 KB Output is correct
51 Correct 34 ms 7504 KB Output is correct
52 Correct 30 ms 7504 KB Output is correct
53 Correct 31 ms 7508 KB Output is correct
54 Correct 34 ms 7508 KB Output is correct
55 Correct 30 ms 7512 KB Output is correct
56 Correct 30 ms 7504 KB Output is correct
57 Correct 30 ms 7504 KB Output is correct
58 Correct 31 ms 7504 KB Output is correct
59 Correct 31 ms 7508 KB Output is correct
60 Correct 31 ms 7516 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 2 ms 6492 KB Output is correct
14 Correct 12 ms 6744 KB Output is correct
15 Correct 22 ms 7512 KB Output is correct
16 Correct 47 ms 7684 KB Output is correct
17 Correct 32 ms 8016 KB Output is correct
18 Correct 35 ms 7772 KB Output is correct
19 Correct 35 ms 7764 KB Output is correct
20 Correct 34 ms 7764 KB Output is correct
21 Correct 42 ms 7760 KB Output is correct
22 Correct 35 ms 7784 KB Output is correct
23 Correct 35 ms 7760 KB Output is correct
24 Correct 35 ms 7848 KB Output is correct
25 Correct 34 ms 7764 KB Output is correct
26 Correct 1 ms 6488 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 13 ms 6748 KB Output is correct
30 Correct 27 ms 7260 KB Output is correct
31 Correct 38 ms 7768 KB Output is correct
32 Correct 39 ms 7764 KB Output is correct
33 Correct 39 ms 7772 KB Output is correct
34 Correct 39 ms 7504 KB Output is correct
35 Correct 39 ms 7764 KB Output is correct
36 Correct 39 ms 7668 KB Output is correct
37 Correct 38 ms 7760 KB Output is correct
38 Correct 38 ms 7772 KB Output is correct
39 Correct 39 ms 7760 KB Output is correct
40 Correct 39 ms 7764 KB Output is correct
41 Correct 1 ms 6488 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 2 ms 6488 KB Output is correct
45 Correct 2 ms 6492 KB Output is correct
46 Correct 2 ms 6492 KB Output is correct
47 Correct 5 ms 6492 KB Output is correct
48 Correct 4 ms 6492 KB Output is correct
49 Correct 8 ms 6748 KB Output is correct
50 Correct 19 ms 7268 KB Output is correct
51 Correct 31 ms 7632 KB Output is correct
52 Correct 31 ms 7516 KB Output is correct
53 Correct 32 ms 7472 KB Output is correct
54 Correct 31 ms 7504 KB Output is correct
55 Correct 31 ms 7508 KB Output is correct
56 Correct 30 ms 7648 KB Output is correct
57 Correct 30 ms 7508 KB Output is correct
58 Correct 31 ms 7508 KB Output is correct
59 Correct 30 ms 7516 KB Output is correct
60 Correct 32 ms 7900 KB Output is correct
61 Correct 34 ms 7504 KB Output is correct
62 Correct 30 ms 7504 KB Output is correct
63 Correct 31 ms 7508 KB Output is correct
64 Correct 34 ms 7508 KB Output is correct
65 Correct 30 ms 7512 KB Output is correct
66 Correct 30 ms 7504 KB Output is correct
67 Correct 30 ms 7504 KB Output is correct
68 Correct 31 ms 7504 KB Output is correct
69 Correct 31 ms 7508 KB Output is correct
70 Correct 31 ms 7516 KB Output is correct
71 Correct 5 ms 6492 KB Output is correct
72 Correct 4 ms 6492 KB Output is correct
73 Correct 4 ms 6492 KB Output is correct
74 Correct 4 ms 6488 KB Output is correct
75 Correct 4 ms 6492 KB Output is correct
76 Correct 7 ms 6748 KB Output is correct
77 Correct 7 ms 6868 KB Output is correct
78 Correct 7 ms 6748 KB Output is correct
79 Correct 7 ms 6748 KB Output is correct
80 Correct 6 ms 6748 KB Output is correct
81 Correct 13 ms 7084 KB Output is correct
82 Correct 12 ms 7260 KB Output is correct
83 Correct 12 ms 7260 KB Output is correct
84 Correct 12 ms 7256 KB Output is correct
85 Correct 12 ms 7260 KB Output is correct
86 Correct 14 ms 7252 KB Output is correct
87 Correct 13 ms 7260 KB Output is correct
88 Correct 13 ms 7260 KB Output is correct
89 Correct 13 ms 7248 KB Output is correct
90 Correct 14 ms 7260 KB Output is correct
91 Correct 19 ms 7956 KB Output is correct
92 Correct 19 ms 8028 KB Output is correct
93 Correct 19 ms 7932 KB Output is correct
94 Correct 19 ms 8028 KB Output is correct
95 Correct 19 ms 7788 KB Output is correct
96 Correct 22 ms 8284 KB Output is correct
97 Correct 21 ms 8284 KB Output is correct
98 Correct 22 ms 8276 KB Output is correct
99 Correct 21 ms 8276 KB Output is correct
100 Correct 22 ms 8284 KB Output is correct
101 Correct 22 ms 8272 KB Output is correct
102 Correct 21 ms 8284 KB Output is correct
103 Correct 23 ms 8320 KB Output is correct
104 Correct 22 ms 8284 KB Output is correct
105 Correct 22 ms 8284 KB Output is correct
106 Correct 22 ms 8608 KB Output is correct
107 Correct 22 ms 8540 KB Output is correct
108 Correct 22 ms 8540 KB Output is correct
109 Correct 22 ms 8428 KB Output is correct
110 Correct 27 ms 8840 KB Output is correct
111 Correct 21 ms 8540 KB Output is correct
112 Correct 22 ms 8540 KB Output is correct
113 Correct 22 ms 8460 KB Output is correct
114 Correct 21 ms 8500 KB Output is correct
115 Correct 23 ms 8612 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 2 ms 6492 KB Output is correct
14 Correct 12 ms 6744 KB Output is correct
15 Correct 22 ms 7512 KB Output is correct
16 Correct 47 ms 7684 KB Output is correct
17 Correct 32 ms 8016 KB Output is correct
18 Correct 35 ms 7772 KB Output is correct
19 Correct 35 ms 7764 KB Output is correct
20 Correct 34 ms 7764 KB Output is correct
21 Correct 42 ms 7760 KB Output is correct
22 Correct 35 ms 7784 KB Output is correct
23 Correct 35 ms 7760 KB Output is correct
24 Correct 35 ms 7848 KB Output is correct
25 Correct 34 ms 7764 KB Output is correct
26 Correct 1 ms 6488 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 13 ms 6748 KB Output is correct
30 Correct 27 ms 7260 KB Output is correct
31 Correct 38 ms 7768 KB Output is correct
32 Correct 39 ms 7764 KB Output is correct
33 Correct 39 ms 7772 KB Output is correct
34 Correct 39 ms 7504 KB Output is correct
35 Correct 39 ms 7764 KB Output is correct
36 Correct 39 ms 7668 KB Output is correct
37 Correct 38 ms 7760 KB Output is correct
38 Correct 38 ms 7772 KB Output is correct
39 Correct 39 ms 7760 KB Output is correct
40 Correct 39 ms 7764 KB Output is correct
41 Correct 1 ms 6488 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 2 ms 6488 KB Output is correct
45 Correct 2 ms 6492 KB Output is correct
46 Correct 2 ms 6492 KB Output is correct
47 Correct 5 ms 6492 KB Output is correct
48 Correct 4 ms 6492 KB Output is correct
49 Correct 8 ms 6748 KB Output is correct
50 Correct 19 ms 7268 KB Output is correct
51 Correct 31 ms 7632 KB Output is correct
52 Correct 31 ms 7516 KB Output is correct
53 Correct 32 ms 7472 KB Output is correct
54 Correct 31 ms 7504 KB Output is correct
55 Correct 31 ms 7508 KB Output is correct
56 Correct 30 ms 7648 KB Output is correct
57 Correct 30 ms 7508 KB Output is correct
58 Correct 31 ms 7508 KB Output is correct
59 Correct 30 ms 7516 KB Output is correct
60 Correct 32 ms 7900 KB Output is correct
61 Correct 34 ms 7504 KB Output is correct
62 Correct 30 ms 7504 KB Output is correct
63 Correct 31 ms 7508 KB Output is correct
64 Correct 34 ms 7508 KB Output is correct
65 Correct 30 ms 7512 KB Output is correct
66 Correct 30 ms 7504 KB Output is correct
67 Correct 30 ms 7504 KB Output is correct
68 Correct 31 ms 7504 KB Output is correct
69 Correct 31 ms 7508 KB Output is correct
70 Correct 31 ms 7516 KB Output is correct
71 Correct 5 ms 6492 KB Output is correct
72 Correct 4 ms 6492 KB Output is correct
73 Correct 4 ms 6492 KB Output is correct
74 Correct 4 ms 6488 KB Output is correct
75 Correct 4 ms 6492 KB Output is correct
76 Correct 7 ms 6748 KB Output is correct
77 Correct 7 ms 6868 KB Output is correct
78 Correct 7 ms 6748 KB Output is correct
79 Correct 7 ms 6748 KB Output is correct
80 Correct 6 ms 6748 KB Output is correct
81 Correct 13 ms 7084 KB Output is correct
82 Correct 12 ms 7260 KB Output is correct
83 Correct 12 ms 7260 KB Output is correct
84 Correct 12 ms 7256 KB Output is correct
85 Correct 12 ms 7260 KB Output is correct
86 Correct 14 ms 7252 KB Output is correct
87 Correct 13 ms 7260 KB Output is correct
88 Correct 13 ms 7260 KB Output is correct
89 Correct 13 ms 7248 KB Output is correct
90 Correct 14 ms 7260 KB Output is correct
91 Correct 19 ms 7956 KB Output is correct
92 Correct 19 ms 8028 KB Output is correct
93 Correct 19 ms 7932 KB Output is correct
94 Correct 19 ms 8028 KB Output is correct
95 Correct 19 ms 7788 KB Output is correct
96 Correct 22 ms 8284 KB Output is correct
97 Correct 21 ms 8284 KB Output is correct
98 Correct 22 ms 8276 KB Output is correct
99 Correct 21 ms 8276 KB Output is correct
100 Correct 22 ms 8284 KB Output is correct
101 Correct 22 ms 8272 KB Output is correct
102 Correct 21 ms 8284 KB Output is correct
103 Correct 23 ms 8320 KB Output is correct
104 Correct 22 ms 8284 KB Output is correct
105 Correct 22 ms 8284 KB Output is correct
106 Correct 22 ms 8608 KB Output is correct
107 Correct 22 ms 8540 KB Output is correct
108 Correct 22 ms 8540 KB Output is correct
109 Correct 22 ms 8428 KB Output is correct
110 Correct 27 ms 8840 KB Output is correct
111 Correct 21 ms 8540 KB Output is correct
112 Correct 22 ms 8540 KB Output is correct
113 Correct 22 ms 8460 KB Output is correct
114 Correct 21 ms 8500 KB Output is correct
115 Correct 23 ms 8612 KB Output is correct
116 Correct 731 ms 6876 KB Output is correct
117 Correct 568 ms 6880 KB Output is correct
118 Runtime error 207 ms 13136 KB Execution killed with signal 11
119 Halted 0 ms 0 KB -