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Submission #956655

# Submission time Handle Problem Language Result Execution time Memory
956655 2024-04-02T09:46:14 Z TAhmed33 Diversity (CEOI21_diversity) C++
64 / 100
 1055 ms 10596 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("trapv")
typedef long long ll;
const int MAXN = 3e5 + 25;
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[0][1] + 1, R = queries[0][1];
	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, n = R - L + 1;
		vector <pair <ll, ll>> pp[2];
		int c = 0;
		for (auto j : t) {
			if (j) {
				dis += freq2[j];
				int x = j, y = freq2[j];
				if (y == 1) {
					pp[c].push_back({x, 1});
					c ^= 1; continue;
				}
				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, cur2 = 0, pref = 0;
		for (auto [x, y] : pp[0]) {
			cur2 += 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;
			/*for (int i = 1; i <= y; i++) {
				cur += (n - pref - i * x) * (n - pref - i * x + 1);
			}*/
			pref += x * y;
		}	
		ans[queries[i][2]] = n * (n + 1) / 2 * dis - cur / 2 - cur2 / 2;
	}
	for (int i = 1; i <= q; i++) cout << ans[i] << '\n';
}

Compilation message

diversity.cpp: In function 'int main()':
diversity.cpp:64:13: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   64 |   for (auto [x, y] : pp[0]) {
      |             ^

Subtask #1
4.0 / 4.0

# 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 1 ms 6488 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 6488 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 13 ms 6744 KB Output is correct
5 Correct 25 ms 7764 KB Output is correct
6 Correct 39 ms 8280 KB Output is correct
7 Correct 35 ms 8804 KB Output is correct
8 Correct 39 ms 8392 KB Output is correct
9 Correct 39 ms 8272 KB Output is correct
10 Correct 37 ms 8628 KB Output is correct
11 Correct 38 ms 8380 KB Output is correct
12 Correct 39 ms 8276 KB Output is correct
13 Correct 40 ms 8272 KB Output is correct
14 Correct 41 ms 8460 KB Output is correct
15 Correct 39 ms 8520 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 13 ms 6744 KB Output is correct
5 Correct 25 ms 7764 KB Output is correct
6 Correct 39 ms 8280 KB Output is correct
7 Correct 35 ms 8804 KB Output is correct
8 Correct 39 ms 8392 KB Output is correct
9 Correct 39 ms 8272 KB Output is correct
10 Correct 37 ms 8628 KB Output is correct
11 Correct 38 ms 8380 KB Output is correct
12 Correct 39 ms 8276 KB Output is correct
13 Correct 40 ms 8272 KB Output is correct
14 Correct 41 ms 8460 KB Output is correct
15 Correct 39 ms 8520 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 15 ms 7172 KB Output is correct
20 Correct 29 ms 7772 KB Output is correct
21 Correct 42 ms 8484 KB Output is correct
22 Correct 44 ms 8540 KB Output is correct
23 Correct 43 ms 8528 KB Output is correct
24 Correct 43 ms 8528 KB Output is correct
25 Correct 44 ms 8528 KB Output is correct
26 Correct 43 ms 8532 KB Output is correct
27 Correct 44 ms 8528 KB Output is correct
28 Correct 48 ms 8528 KB Output is correct
29 Correct 44 ms 8528 KB Output is correct
30 Correct 43 ms 8544 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 13 ms 6744 KB Output is correct
5 Correct 25 ms 7764 KB Output is correct
6 Correct 39 ms 8280 KB Output is correct
7 Correct 35 ms 8804 KB Output is correct
8 Correct 39 ms 8392 KB Output is correct
9 Correct 39 ms 8272 KB Output is correct
10 Correct 37 ms 8628 KB Output is correct
11 Correct 38 ms 8380 KB Output is correct
12 Correct 39 ms 8276 KB Output is correct
13 Correct 40 ms 8272 KB Output is correct
14 Correct 41 ms 8460 KB Output is correct
15 Correct 39 ms 8520 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 15 ms 7172 KB Output is correct
20 Correct 29 ms 7772 KB Output is correct
21 Correct 42 ms 8484 KB Output is correct
22 Correct 44 ms 8540 KB Output is correct
23 Correct 43 ms 8528 KB Output is correct
24 Correct 43 ms 8528 KB Output is correct
25 Correct 44 ms 8528 KB Output is correct
26 Correct 43 ms 8532 KB Output is correct
27 Correct 44 ms 8528 KB Output is correct
28 Correct 48 ms 8528 KB Output is correct
29 Correct 44 ms 8528 KB Output is correct
30 Correct 43 ms 8544 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 6488 KB Output is correct
36 Correct 2 ms 6492 KB Output is correct
37 Correct 6 ms 6864 KB Output is correct
38 Correct 5 ms 6748 KB Output is correct
39 Correct 10 ms 7260 KB Output is correct
40 Correct 21 ms 8032 KB Output is correct
41 Correct 33 ms 8776 KB Output is correct
42 Correct 33 ms 8764 KB Output is correct
43 Correct 34 ms 8784 KB Output is correct
44 Correct 34 ms 8796 KB Output is correct
45 Correct 34 ms 8796 KB Output is correct
46 Correct 33 ms 8868 KB Output is correct
47 Correct 32 ms 8800 KB Output is correct
48 Correct 42 ms 9052 KB Output is correct
49 Correct 33 ms 8788 KB Output is correct
50 Correct 34 ms 8784 KB Output is correct
51 Correct 34 ms 8780 KB Output is correct
52 Correct 34 ms 8804 KB Output is correct
53 Correct 34 ms 8788 KB Output is correct
54 Correct 33 ms 8788 KB Output is correct
55 Correct 33 ms 8784 KB Output is correct
56 Correct 33 ms 8788 KB Output is correct
57 Correct 33 ms 8788 KB Output is correct
58 Correct 34 ms 8784 KB Output is correct
59 Correct 33 ms 8780 KB Output is correct
60 Correct 33 ms 8812 KB Output is correct

Subtask #5
26.0 / 26.0

# 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 1 ms 6488 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 6488 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 13 ms 6744 KB Output is correct
15 Correct 25 ms 7764 KB Output is correct
16 Correct 39 ms 8280 KB Output is correct
17 Correct 35 ms 8804 KB Output is correct
18 Correct 39 ms 8392 KB Output is correct
19 Correct 39 ms 8272 KB Output is correct
20 Correct 37 ms 8628 KB Output is correct
21 Correct 38 ms 8380 KB Output is correct
22 Correct 39 ms 8276 KB Output is correct
23 Correct 40 ms 8272 KB Output is correct
24 Correct 41 ms 8460 KB Output is correct
25 Correct 39 ms 8520 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 15 ms 7172 KB Output is correct
30 Correct 29 ms 7772 KB Output is correct
31 Correct 42 ms 8484 KB Output is correct
32 Correct 44 ms 8540 KB Output is correct
33 Correct 43 ms 8528 KB Output is correct
34 Correct 43 ms 8528 KB Output is correct
35 Correct 44 ms 8528 KB Output is correct
36 Correct 43 ms 8532 KB Output is correct
37 Correct 44 ms 8528 KB Output is correct
38 Correct 48 ms 8528 KB Output is correct
39 Correct 44 ms 8528 KB Output is correct
40 Correct 43 ms 8544 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 6488 KB Output is correct
46 Correct 2 ms 6492 KB Output is correct
47 Correct 6 ms 6864 KB Output is correct
48 Correct 5 ms 6748 KB Output is correct
49 Correct 10 ms 7260 KB Output is correct
50 Correct 21 ms 8032 KB Output is correct
51 Correct 33 ms 8776 KB Output is correct
52 Correct 33 ms 8764 KB Output is correct
53 Correct 34 ms 8784 KB Output is correct
54 Correct 34 ms 8796 KB Output is correct
55 Correct 34 ms 8796 KB Output is correct
56 Correct 33 ms 8868 KB Output is correct
57 Correct 32 ms 8800 KB Output is correct
58 Correct 42 ms 9052 KB Output is correct
59 Correct 33 ms 8788 KB Output is correct
60 Correct 34 ms 8784 KB Output is correct
61 Correct 34 ms 8780 KB Output is correct
62 Correct 34 ms 8804 KB Output is correct
63 Correct 34 ms 8788 KB Output is correct
64 Correct 33 ms 8788 KB Output is correct
65 Correct 33 ms 8784 KB Output is correct
66 Correct 33 ms 8788 KB Output is correct
67 Correct 33 ms 8788 KB Output is correct
68 Correct 34 ms 8784 KB Output is correct
69 Correct 33 ms 8780 KB Output is correct
70 Correct 33 ms 8812 KB Output is correct
71 Correct 4 ms 6744 KB Output is correct
72 Correct 5 ms 6744 KB Output is correct
73 Correct 4 ms 6748 KB Output is correct
74 Correct 4 ms 6828 KB Output is correct
75 Correct 5 ms 6748 KB Output is correct
76 Correct 8 ms 7260 KB Output is correct
77 Correct 8 ms 7364 KB Output is correct
78 Correct 8 ms 7260 KB Output is correct
79 Correct 7 ms 7260 KB Output is correct
80 Correct 8 ms 7260 KB Output is correct
81 Correct 15 ms 8264 KB Output is correct
82 Correct 15 ms 8188 KB Output is correct
83 Correct 15 ms 8028 KB Output is correct
84 Correct 14 ms 8024 KB Output is correct
85 Correct 14 ms 8028 KB Output is correct
86 Correct 20 ms 8276 KB Output is correct
87 Correct 16 ms 8280 KB Output is correct
88 Correct 16 ms 8196 KB Output is correct
89 Correct 16 ms 8284 KB Output is correct
90 Correct 16 ms 8156 KB Output is correct
91 Correct 34 ms 9596 KB Output is correct
92 Correct 23 ms 9556 KB Output is correct
93 Correct 22 ms 9568 KB Output is correct
94 Correct 22 ms 9564 KB Output is correct
95 Correct 28 ms 9552 KB Output is correct
96 Correct 24 ms 10040 KB Output is correct
97 Correct 28 ms 10264 KB Output is correct
98 Correct 26 ms 10076 KB Output is correct
99 Correct 27 ms 10068 KB Output is correct
100 Correct 27 ms 10116 KB Output is correct
101 Correct 25 ms 10072 KB Output is correct
102 Correct 24 ms 10200 KB Output is correct
103 Correct 27 ms 10228 KB Output is correct
104 Correct 25 ms 10320 KB Output is correct
105 Correct 39 ms 10080 KB Output is correct
106 Correct 25 ms 10328 KB Output is correct
107 Correct 25 ms 10596 KB Output is correct
108 Correct 25 ms 10332 KB Output is correct
109 Correct 24 ms 10344 KB Output is correct
110 Correct 24 ms 10336 KB Output is correct
111 Correct 25 ms 10328 KB Output is correct
112 Correct 25 ms 10336 KB Output is correct
113 Correct 24 ms 10328 KB Output is correct
114 Correct 36 ms 10392 KB Output is correct
115 Correct 30 ms 10408 KB Output is correct

Subtask #6
0 / 36.0

# 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 1 ms 6488 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 6488 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 13 ms 6744 KB Output is correct
15 Correct 25 ms 7764 KB Output is correct
16 Correct 39 ms 8280 KB Output is correct
17 Correct 35 ms 8804 KB Output is correct
18 Correct 39 ms 8392 KB Output is correct
19 Correct 39 ms 8272 KB Output is correct
20 Correct 37 ms 8628 KB Output is correct
21 Correct 38 ms 8380 KB Output is correct
22 Correct 39 ms 8276 KB Output is correct
23 Correct 40 ms 8272 KB Output is correct
24 Correct 41 ms 8460 KB Output is correct
25 Correct 39 ms 8520 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 15 ms 7172 KB Output is correct
30 Correct 29 ms 7772 KB Output is correct
31 Correct 42 ms 8484 KB Output is correct
32 Correct 44 ms 8540 KB Output is correct
33 Correct 43 ms 8528 KB Output is correct
34 Correct 43 ms 8528 KB Output is correct
35 Correct 44 ms 8528 KB Output is correct
36 Correct 43 ms 8532 KB Output is correct
37 Correct 44 ms 8528 KB Output is correct
38 Correct 48 ms 8528 KB Output is correct
39 Correct 44 ms 8528 KB Output is correct
40 Correct 43 ms 8544 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 6488 KB Output is correct
46 Correct 2 ms 6492 KB Output is correct
47 Correct 6 ms 6864 KB Output is correct
48 Correct 5 ms 6748 KB Output is correct
49 Correct 10 ms 7260 KB Output is correct
50 Correct 21 ms 8032 KB Output is correct
51 Correct 33 ms 8776 KB Output is correct
52 Correct 33 ms 8764 KB Output is correct
53 Correct 34 ms 8784 KB Output is correct
54 Correct 34 ms 8796 KB Output is correct
55 Correct 34 ms 8796 KB Output is correct
56 Correct 33 ms 8868 KB Output is correct
57 Correct 32 ms 8800 KB Output is correct
58 Correct 42 ms 9052 KB Output is correct
59 Correct 33 ms 8788 KB Output is correct
60 Correct 34 ms 8784 KB Output is correct
61 Correct 34 ms 8780 KB Output is correct
62 Correct 34 ms 8804 KB Output is correct
63 Correct 34 ms 8788 KB Output is correct
64 Correct 33 ms 8788 KB Output is correct
65 Correct 33 ms 8784 KB Output is correct
66 Correct 33 ms 8788 KB Output is correct
67 Correct 33 ms 8788 KB Output is correct
68 Correct 34 ms 8784 KB Output is correct
69 Correct 33 ms 8780 KB Output is correct
70 Correct 33 ms 8812 KB Output is correct
71 Correct 4 ms 6744 KB Output is correct
72 Correct 5 ms 6744 KB Output is correct
73 Correct 4 ms 6748 KB Output is correct
74 Correct 4 ms 6828 KB Output is correct
75 Correct 5 ms 6748 KB Output is correct
76 Correct 8 ms 7260 KB Output is correct
77 Correct 8 ms 7364 KB Output is correct
78 Correct 8 ms 7260 KB Output is correct
79 Correct 7 ms 7260 KB Output is correct
80 Correct 8 ms 7260 KB Output is correct
81 Correct 15 ms 8264 KB Output is correct
82 Correct 15 ms 8188 KB Output is correct
83 Correct 15 ms 8028 KB Output is correct
84 Correct 14 ms 8024 KB Output is correct
85 Correct 14 ms 8028 KB Output is correct
86 Correct 20 ms 8276 KB Output is correct
87 Correct 16 ms 8280 KB Output is correct
88 Correct 16 ms 8196 KB Output is correct
89 Correct 16 ms 8284 KB Output is correct
90 Correct 16 ms 8156 KB Output is correct
91 Correct 34 ms 9596 KB Output is correct
92 Correct 23 ms 9556 KB Output is correct
93 Correct 22 ms 9568 KB Output is correct
94 Correct 22 ms 9564 KB Output is correct
95 Correct 28 ms 9552 KB Output is correct
96 Correct 24 ms 10040 KB Output is correct
97 Correct 28 ms 10264 KB Output is correct
98 Correct 26 ms 10076 KB Output is correct
99 Correct 27 ms 10068 KB Output is correct
100 Correct 27 ms 10116 KB Output is correct
101 Correct 25 ms 10072 KB Output is correct
102 Correct 24 ms 10200 KB Output is correct
103 Correct 27 ms 10228 KB Output is correct
104 Correct 25 ms 10320 KB Output is correct
105 Correct 39 ms 10080 KB Output is correct
106 Correct 25 ms 10328 KB Output is correct
107 Correct 25 ms 10596 KB Output is correct
108 Correct 25 ms 10332 KB Output is correct
109 Correct 24 ms 10344 KB Output is correct
110 Correct 24 ms 10336 KB Output is correct
111 Correct 25 ms 10328 KB Output is correct
112 Correct 25 ms 10336 KB Output is correct
113 Correct 24 ms 10328 KB Output is correct
114 Correct 36 ms 10392 KB Output is correct
115 Correct 30 ms 10408 KB Output is correct
116 Correct 1055 ms 7384 KB Output is correct
117 Correct 1006 ms 7380 KB Output is correct
118 Runtime error 24 ms 9660 KB Execution killed with signal 11
119 Halted 0 ms 0 KB -