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Submission #956670

# Submission time Handle Problem Language Result Execution time Memory
956670 2024-04-02T09:58:02 Z TAhmed33 Diversity (CEOI21_diversity) C++
64 / 100
 1123 ms 9232 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("trapv")
typedef long long ll;
const int MAXN = 1e6 + 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;
			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 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 2 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 6612 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 13 ms 6748 KB Output is correct
5 Correct 26 ms 7288 KB Output is correct
6 Correct 39 ms 7256 KB Output is correct
7 Correct 35 ms 7524 KB Output is correct
8 Correct 38 ms 7156 KB Output is correct
9 Correct 38 ms 7248 KB Output is correct
10 Correct 38 ms 7428 KB Output is correct
11 Correct 41 ms 7248 KB Output is correct
12 Correct 40 ms 7248 KB Output is correct
13 Correct 39 ms 7248 KB Output is correct
14 Correct 41 ms 7260 KB Output is correct
15 Correct 39 ms 7356 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 6612 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 13 ms 6748 KB Output is correct
5 Correct 26 ms 7288 KB Output is correct
6 Correct 39 ms 7256 KB Output is correct
7 Correct 35 ms 7524 KB Output is correct
8 Correct 38 ms 7156 KB Output is correct
9 Correct 38 ms 7248 KB Output is correct
10 Correct 38 ms 7428 KB Output is correct
11 Correct 41 ms 7248 KB Output is correct
12 Correct 40 ms 7248 KB Output is correct
13 Correct 39 ms 7248 KB Output is correct
14 Correct 41 ms 7260 KB Output is correct
15 Correct 39 ms 7356 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6488 KB Output is correct
19 Correct 15 ms 6948 KB Output is correct
20 Correct 29 ms 7260 KB Output is correct
21 Correct 42 ms 7536 KB Output is correct
22 Correct 43 ms 7420 KB Output is correct
23 Correct 50 ms 7508 KB Output is correct
24 Correct 42 ms 7348 KB Output is correct
25 Correct 42 ms 7504 KB Output is correct
26 Correct 46 ms 7164 KB Output is correct
27 Correct 48 ms 7484 KB Output is correct
28 Correct 42 ms 7248 KB Output is correct
29 Correct 42 ms 7248 KB Output is correct
30 Correct 43 ms 7476 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 6612 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 13 ms 6748 KB Output is correct
5 Correct 26 ms 7288 KB Output is correct
6 Correct 39 ms 7256 KB Output is correct
7 Correct 35 ms 7524 KB Output is correct
8 Correct 38 ms 7156 KB Output is correct
9 Correct 38 ms 7248 KB Output is correct
10 Correct 38 ms 7428 KB Output is correct
11 Correct 41 ms 7248 KB Output is correct
12 Correct 40 ms 7248 KB Output is correct
13 Correct 39 ms 7248 KB Output is correct
14 Correct 41 ms 7260 KB Output is correct
15 Correct 39 ms 7356 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6488 KB Output is correct
19 Correct 15 ms 6948 KB Output is correct
20 Correct 29 ms 7260 KB Output is correct
21 Correct 42 ms 7536 KB Output is correct
22 Correct 43 ms 7420 KB Output is correct
23 Correct 50 ms 7508 KB Output is correct
24 Correct 42 ms 7348 KB Output is correct
25 Correct 42 ms 7504 KB Output is correct
26 Correct 46 ms 7164 KB Output is correct
27 Correct 48 ms 7484 KB Output is correct
28 Correct 42 ms 7248 KB Output is correct
29 Correct 42 ms 7248 KB Output is correct
30 Correct 43 ms 7476 KB Output is correct
31 Correct 1 ms 6492 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6624 KB Output is correct
34 Correct 2 ms 6492 KB Output is correct
35 Correct 2 ms 6492 KB Output is correct
36 Correct 2 ms 6744 KB Output is correct
37 Correct 6 ms 6748 KB Output is correct
38 Correct 5 ms 6748 KB Output is correct
39 Correct 10 ms 7004 KB Output is correct
40 Correct 20 ms 7156 KB Output is correct
41 Correct 32 ms 7248 KB Output is correct
42 Correct 33 ms 7252 KB Output is correct
43 Correct 34 ms 7252 KB Output is correct
44 Correct 37 ms 7252 KB Output is correct
45 Correct 33 ms 7248 KB Output is correct
46 Correct 38 ms 7356 KB Output is correct
47 Correct 33 ms 7356 KB Output is correct
48 Correct 33 ms 7252 KB Output is correct
49 Correct 32 ms 7252 KB Output is correct
50 Correct 34 ms 7364 KB Output is correct
51 Correct 33 ms 7248 KB Output is correct
52 Correct 34 ms 7260 KB Output is correct
53 Correct 35 ms 7252 KB Output is correct
54 Correct 34 ms 7380 KB Output is correct
55 Correct 33 ms 7248 KB Output is correct
56 Correct 35 ms 7252 KB Output is correct
57 Correct 32 ms 7400 KB Output is correct
58 Correct 33 ms 7252 KB Output is correct
59 Correct 33 ms 7252 KB Output is correct
60 Correct 35 ms 7256 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 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 2 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 6612 KB Output is correct
13 Correct 2 ms 6492 KB Output is correct
14 Correct 13 ms 6748 KB Output is correct
15 Correct 26 ms 7288 KB Output is correct
16 Correct 39 ms 7256 KB Output is correct
17 Correct 35 ms 7524 KB Output is correct
18 Correct 38 ms 7156 KB Output is correct
19 Correct 38 ms 7248 KB Output is correct
20 Correct 38 ms 7428 KB Output is correct
21 Correct 41 ms 7248 KB Output is correct
22 Correct 40 ms 7248 KB Output is correct
23 Correct 39 ms 7248 KB Output is correct
24 Correct 41 ms 7260 KB Output is correct
25 Correct 39 ms 7356 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 2 ms 6488 KB Output is correct
29 Correct 15 ms 6948 KB Output is correct
30 Correct 29 ms 7260 KB Output is correct
31 Correct 42 ms 7536 KB Output is correct
32 Correct 43 ms 7420 KB Output is correct
33 Correct 50 ms 7508 KB Output is correct
34 Correct 42 ms 7348 KB Output is correct
35 Correct 42 ms 7504 KB Output is correct
36 Correct 46 ms 7164 KB Output is correct
37 Correct 48 ms 7484 KB Output is correct
38 Correct 42 ms 7248 KB Output is correct
39 Correct 42 ms 7248 KB Output is correct
40 Correct 43 ms 7476 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6624 KB Output is correct
44 Correct 2 ms 6492 KB Output is correct
45 Correct 2 ms 6492 KB Output is correct
46 Correct 2 ms 6744 KB Output is correct
47 Correct 6 ms 6748 KB Output is correct
48 Correct 5 ms 6748 KB Output is correct
49 Correct 10 ms 7004 KB Output is correct
50 Correct 20 ms 7156 KB Output is correct
51 Correct 32 ms 7248 KB Output is correct
52 Correct 33 ms 7252 KB Output is correct
53 Correct 34 ms 7252 KB Output is correct
54 Correct 37 ms 7252 KB Output is correct
55 Correct 33 ms 7248 KB Output is correct
56 Correct 38 ms 7356 KB Output is correct
57 Correct 33 ms 7356 KB Output is correct
58 Correct 33 ms 7252 KB Output is correct
59 Correct 32 ms 7252 KB Output is correct
60 Correct 34 ms 7364 KB Output is correct
61 Correct 33 ms 7248 KB Output is correct
62 Correct 34 ms 7260 KB Output is correct
63 Correct 35 ms 7252 KB Output is correct
64 Correct 34 ms 7380 KB Output is correct
65 Correct 33 ms 7248 KB Output is correct
66 Correct 35 ms 7252 KB Output is correct
67 Correct 32 ms 7400 KB Output is correct
68 Correct 33 ms 7252 KB Output is correct
69 Correct 33 ms 7252 KB Output is correct
70 Correct 35 ms 7256 KB Output is correct
71 Correct 5 ms 6744 KB Output is correct
72 Correct 5 ms 6748 KB Output is correct
73 Correct 5 ms 6728 KB Output is correct
74 Correct 4 ms 6748 KB Output is correct
75 Correct 5 ms 6748 KB Output is correct
76 Correct 8 ms 7004 KB Output is correct
77 Correct 8 ms 7084 KB Output is correct
78 Correct 8 ms 7000 KB Output is correct
79 Correct 8 ms 6996 KB Output is correct
80 Correct 8 ms 7080 KB Output is correct
81 Correct 16 ms 7424 KB Output is correct
82 Correct 14 ms 7372 KB Output is correct
83 Correct 14 ms 7260 KB Output is correct
84 Correct 14 ms 7256 KB Output is correct
85 Correct 14 ms 7500 KB Output is correct
86 Correct 16 ms 7492 KB Output is correct
87 Correct 16 ms 7260 KB Output is correct
88 Correct 15 ms 7360 KB Output is correct
89 Correct 16 ms 7360 KB Output is correct
90 Correct 15 ms 7260 KB Output is correct
91 Correct 22 ms 7888 KB Output is correct
92 Correct 22 ms 8024 KB Output is correct
93 Correct 22 ms 7864 KB Output is correct
94 Correct 21 ms 8024 KB Output is correct
95 Correct 22 ms 7872 KB Output is correct
96 Correct 26 ms 8912 KB Output is correct
97 Correct 24 ms 8548 KB Output is correct
98 Correct 24 ms 8540 KB Output is correct
99 Correct 24 ms 8544 KB Output is correct
100 Correct 26 ms 8540 KB Output is correct
101 Correct 24 ms 8536 KB Output is correct
102 Correct 25 ms 8540 KB Output is correct
103 Correct 24 ms 8644 KB Output is correct
104 Correct 24 ms 8536 KB Output is correct
105 Correct 24 ms 8540 KB Output is correct
106 Correct 24 ms 8784 KB Output is correct
107 Correct 24 ms 8796 KB Output is correct
108 Correct 24 ms 8796 KB Output is correct
109 Correct 24 ms 8640 KB Output is correct
110 Correct 23 ms 8796 KB Output is correct
111 Correct 23 ms 8792 KB Output is correct
112 Correct 25 ms 8660 KB Output is correct
113 Correct 29 ms 8788 KB Output is correct
114 Correct 28 ms 9052 KB Output is correct
115 Correct 23 ms 8796 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 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 2 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 6612 KB Output is correct
13 Correct 2 ms 6492 KB Output is correct
14 Correct 13 ms 6748 KB Output is correct
15 Correct 26 ms 7288 KB Output is correct
16 Correct 39 ms 7256 KB Output is correct
17 Correct 35 ms 7524 KB Output is correct
18 Correct 38 ms 7156 KB Output is correct
19 Correct 38 ms 7248 KB Output is correct
20 Correct 38 ms 7428 KB Output is correct
21 Correct 41 ms 7248 KB Output is correct
22 Correct 40 ms 7248 KB Output is correct
23 Correct 39 ms 7248 KB Output is correct
24 Correct 41 ms 7260 KB Output is correct
25 Correct 39 ms 7356 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 2 ms 6488 KB Output is correct
29 Correct 15 ms 6948 KB Output is correct
30 Correct 29 ms 7260 KB Output is correct
31 Correct 42 ms 7536 KB Output is correct
32 Correct 43 ms 7420 KB Output is correct
33 Correct 50 ms 7508 KB Output is correct
34 Correct 42 ms 7348 KB Output is correct
35 Correct 42 ms 7504 KB Output is correct
36 Correct 46 ms 7164 KB Output is correct
37 Correct 48 ms 7484 KB Output is correct
38 Correct 42 ms 7248 KB Output is correct
39 Correct 42 ms 7248 KB Output is correct
40 Correct 43 ms 7476 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6492 KB Output is correct
43 Correct 1 ms 6624 KB Output is correct
44 Correct 2 ms 6492 KB Output is correct
45 Correct 2 ms 6492 KB Output is correct
46 Correct 2 ms 6744 KB Output is correct
47 Correct 6 ms 6748 KB Output is correct
48 Correct 5 ms 6748 KB Output is correct
49 Correct 10 ms 7004 KB Output is correct
50 Correct 20 ms 7156 KB Output is correct
51 Correct 32 ms 7248 KB Output is correct
52 Correct 33 ms 7252 KB Output is correct
53 Correct 34 ms 7252 KB Output is correct
54 Correct 37 ms 7252 KB Output is correct
55 Correct 33 ms 7248 KB Output is correct
56 Correct 38 ms 7356 KB Output is correct
57 Correct 33 ms 7356 KB Output is correct
58 Correct 33 ms 7252 KB Output is correct
59 Correct 32 ms 7252 KB Output is correct
60 Correct 34 ms 7364 KB Output is correct
61 Correct 33 ms 7248 KB Output is correct
62 Correct 34 ms 7260 KB Output is correct
63 Correct 35 ms 7252 KB Output is correct
64 Correct 34 ms 7380 KB Output is correct
65 Correct 33 ms 7248 KB Output is correct
66 Correct 35 ms 7252 KB Output is correct
67 Correct 32 ms 7400 KB Output is correct
68 Correct 33 ms 7252 KB Output is correct
69 Correct 33 ms 7252 KB Output is correct
70 Correct 35 ms 7256 KB Output is correct
71 Correct 5 ms 6744 KB Output is correct
72 Correct 5 ms 6748 KB Output is correct
73 Correct 5 ms 6728 KB Output is correct
74 Correct 4 ms 6748 KB Output is correct
75 Correct 5 ms 6748 KB Output is correct
76 Correct 8 ms 7004 KB Output is correct
77 Correct 8 ms 7084 KB Output is correct
78 Correct 8 ms 7000 KB Output is correct
79 Correct 8 ms 6996 KB Output is correct
80 Correct 8 ms 7080 KB Output is correct
81 Correct 16 ms 7424 KB Output is correct
82 Correct 14 ms 7372 KB Output is correct
83 Correct 14 ms 7260 KB Output is correct
84 Correct 14 ms 7256 KB Output is correct
85 Correct 14 ms 7500 KB Output is correct
86 Correct 16 ms 7492 KB Output is correct
87 Correct 16 ms 7260 KB Output is correct
88 Correct 15 ms 7360 KB Output is correct
89 Correct 16 ms 7360 KB Output is correct
90 Correct 15 ms 7260 KB Output is correct
91 Correct 22 ms 7888 KB Output is correct
92 Correct 22 ms 8024 KB Output is correct
93 Correct 22 ms 7864 KB Output is correct
94 Correct 21 ms 8024 KB Output is correct
95 Correct 22 ms 7872 KB Output is correct
96 Correct 26 ms 8912 KB Output is correct
97 Correct 24 ms 8548 KB Output is correct
98 Correct 24 ms 8540 KB Output is correct
99 Correct 24 ms 8544 KB Output is correct
100 Correct 26 ms 8540 KB Output is correct
101 Correct 24 ms 8536 KB Output is correct
102 Correct 25 ms 8540 KB Output is correct
103 Correct 24 ms 8644 KB Output is correct
104 Correct 24 ms 8536 KB Output is correct
105 Correct 24 ms 8540 KB Output is correct
106 Correct 24 ms 8784 KB Output is correct
107 Correct 24 ms 8796 KB Output is correct
108 Correct 24 ms 8796 KB Output is correct
109 Correct 24 ms 8640 KB Output is correct
110 Correct 23 ms 8796 KB Output is correct
111 Correct 23 ms 8792 KB Output is correct
112 Correct 25 ms 8660 KB Output is correct
113 Correct 29 ms 8788 KB Output is correct
114 Correct 28 ms 9052 KB Output is correct
115 Correct 23 ms 8796 KB Output is correct
116 Correct 1123 ms 7376 KB Output is correct
117 Correct 1033 ms 7504 KB Output is correct
118 Runtime error 22 ms 9232 KB Execution killed with signal 11
119 Halted 0 ms 0 KB -