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Submission #956661

# Submission time Handle Problem Language Result Execution time Memory
956661 2024-04-02T09:49:49 Z TAhmed33 Diversity (CEOI21_diversity) C++
64 / 100
 770 ms 13016 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 6e5 + 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:63:13: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   63 |   for (auto [x, y] : pp[0]) {
      |             ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 6488 KB Output is correct
9 Correct 1 ms 6488 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 6488 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 13 ms 8540 KB Output is correct
5 Correct 22 ms 8968 KB Output is correct
6 Correct 37 ms 8784 KB Output is correct
7 Correct 32 ms 9044 KB Output is correct
8 Correct 34 ms 8788 KB Output is correct
9 Correct 34 ms 8792 KB Output is correct
10 Correct 34 ms 9044 KB Output is correct
11 Correct 34 ms 8784 KB Output is correct
12 Correct 34 ms 8848 KB Output is correct
13 Correct 35 ms 8796 KB Output is correct
14 Correct 40 ms 8788 KB Output is correct
15 Correct 34 ms 8788 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 6488 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 13 ms 8540 KB Output is correct
5 Correct 22 ms 8968 KB Output is correct
6 Correct 37 ms 8784 KB Output is correct
7 Correct 32 ms 9044 KB Output is correct
8 Correct 34 ms 8788 KB Output is correct
9 Correct 34 ms 8792 KB Output is correct
10 Correct 34 ms 9044 KB Output is correct
11 Correct 34 ms 8784 KB Output is correct
12 Correct 34 ms 8848 KB Output is correct
13 Correct 35 ms 8796 KB Output is correct
14 Correct 40 ms 8788 KB Output is correct
15 Correct 34 ms 8788 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 14 ms 8672 KB Output is correct
20 Correct 26 ms 8748 KB Output is correct
21 Correct 37 ms 8788 KB Output is correct
22 Correct 39 ms 8728 KB Output is correct
23 Correct 38 ms 8796 KB Output is correct
24 Correct 38 ms 8700 KB Output is correct
25 Correct 39 ms 8796 KB Output is correct
26 Correct 39 ms 8676 KB Output is correct
27 Correct 44 ms 8656 KB Output is correct
28 Correct 41 ms 8788 KB Output is correct
29 Correct 38 ms 8788 KB Output is correct
30 Correct 40 ms 8776 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 6488 KB Output is correct
3 Correct 2 ms 6492 KB Output is correct
4 Correct 13 ms 8540 KB Output is correct
5 Correct 22 ms 8968 KB Output is correct
6 Correct 37 ms 8784 KB Output is correct
7 Correct 32 ms 9044 KB Output is correct
8 Correct 34 ms 8788 KB Output is correct
9 Correct 34 ms 8792 KB Output is correct
10 Correct 34 ms 9044 KB Output is correct
11 Correct 34 ms 8784 KB Output is correct
12 Correct 34 ms 8848 KB Output is correct
13 Correct 35 ms 8796 KB Output is correct
14 Correct 40 ms 8788 KB Output is correct
15 Correct 34 ms 8788 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 2 ms 6492 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 14 ms 8672 KB Output is correct
20 Correct 26 ms 8748 KB Output is correct
21 Correct 37 ms 8788 KB Output is correct
22 Correct 39 ms 8728 KB Output is correct
23 Correct 38 ms 8796 KB Output is correct
24 Correct 38 ms 8700 KB Output is correct
25 Correct 39 ms 8796 KB Output is correct
26 Correct 39 ms 8676 KB Output is correct
27 Correct 44 ms 8656 KB Output is correct
28 Correct 41 ms 8788 KB Output is correct
29 Correct 38 ms 8788 KB Output is correct
30 Correct 40 ms 8776 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 6488 KB Output is correct
34 Correct 2 ms 6492 KB Output is correct
35 Correct 3 ms 6492 KB Output is correct
36 Correct 2 ms 6492 KB Output is correct
37 Correct 6 ms 8660 KB Output is correct
38 Correct 5 ms 8540 KB Output is correct
39 Correct 9 ms 8540 KB Output is correct
40 Correct 19 ms 8700 KB Output is correct
41 Correct 31 ms 8680 KB Output is correct
42 Correct 31 ms 8700 KB Output is correct
43 Correct 32 ms 8532 KB Output is correct
44 Correct 31 ms 8692 KB Output is correct
45 Correct 31 ms 8700 KB Output is correct
46 Correct 30 ms 8540 KB Output is correct
47 Correct 30 ms 8664 KB Output is correct
48 Correct 31 ms 8660 KB Output is correct
49 Correct 30 ms 8540 KB Output is correct
50 Correct 31 ms 8536 KB Output is correct
51 Correct 31 ms 8532 KB Output is correct
52 Correct 31 ms 8700 KB Output is correct
53 Correct 32 ms 8528 KB Output is correct
54 Correct 31 ms 8540 KB Output is correct
55 Correct 30 ms 8536 KB Output is correct
56 Correct 30 ms 8532 KB Output is correct
57 Correct 30 ms 8528 KB Output is correct
58 Correct 31 ms 8528 KB Output is correct
59 Correct 31 ms 8528 KB Output is correct
60 Correct 35 ms 8784 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 6488 KB Output is correct
9 Correct 1 ms 6488 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 6488 KB Output is correct
13 Correct 2 ms 6492 KB Output is correct
14 Correct 13 ms 8540 KB Output is correct
15 Correct 22 ms 8968 KB Output is correct
16 Correct 37 ms 8784 KB Output is correct
17 Correct 32 ms 9044 KB Output is correct
18 Correct 34 ms 8788 KB Output is correct
19 Correct 34 ms 8792 KB Output is correct
20 Correct 34 ms 9044 KB Output is correct
21 Correct 34 ms 8784 KB Output is correct
22 Correct 34 ms 8848 KB Output is correct
23 Correct 35 ms 8796 KB Output is correct
24 Correct 40 ms 8788 KB Output is correct
25 Correct 34 ms 8788 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 14 ms 8672 KB Output is correct
30 Correct 26 ms 8748 KB Output is correct
31 Correct 37 ms 8788 KB Output is correct
32 Correct 39 ms 8728 KB Output is correct
33 Correct 38 ms 8796 KB Output is correct
34 Correct 38 ms 8700 KB Output is correct
35 Correct 39 ms 8796 KB Output is correct
36 Correct 39 ms 8676 KB Output is correct
37 Correct 44 ms 8656 KB Output is correct
38 Correct 41 ms 8788 KB Output is correct
39 Correct 38 ms 8788 KB Output is correct
40 Correct 40 ms 8776 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 6488 KB Output is correct
44 Correct 2 ms 6492 KB Output is correct
45 Correct 3 ms 6492 KB Output is correct
46 Correct 2 ms 6492 KB Output is correct
47 Correct 6 ms 8660 KB Output is correct
48 Correct 5 ms 8540 KB Output is correct
49 Correct 9 ms 8540 KB Output is correct
50 Correct 19 ms 8700 KB Output is correct
51 Correct 31 ms 8680 KB Output is correct
52 Correct 31 ms 8700 KB Output is correct
53 Correct 32 ms 8532 KB Output is correct
54 Correct 31 ms 8692 KB Output is correct
55 Correct 31 ms 8700 KB Output is correct
56 Correct 30 ms 8540 KB Output is correct
57 Correct 30 ms 8664 KB Output is correct
58 Correct 31 ms 8660 KB Output is correct
59 Correct 30 ms 8540 KB Output is correct
60 Correct 31 ms 8536 KB Output is correct
61 Correct 31 ms 8532 KB Output is correct
62 Correct 31 ms 8700 KB Output is correct
63 Correct 32 ms 8528 KB Output is correct
64 Correct 31 ms 8540 KB Output is correct
65 Correct 30 ms 8536 KB Output is correct
66 Correct 30 ms 8532 KB Output is correct
67 Correct 30 ms 8528 KB Output is correct
68 Correct 31 ms 8528 KB Output is correct
69 Correct 31 ms 8528 KB Output is correct
70 Correct 35 ms 8784 KB Output is correct
71 Correct 4 ms 8540 KB Output is correct
72 Correct 4 ms 8540 KB Output is correct
73 Correct 4 ms 8540 KB Output is correct
74 Correct 4 ms 8536 KB Output is correct
75 Correct 4 ms 8540 KB Output is correct
76 Correct 7 ms 8660 KB Output is correct
77 Correct 7 ms 8540 KB Output is correct
78 Correct 8 ms 8796 KB Output is correct
79 Correct 7 ms 8540 KB Output is correct
80 Correct 7 ms 8536 KB Output is correct
81 Correct 12 ms 8540 KB Output is correct
82 Correct 12 ms 8668 KB Output is correct
83 Correct 12 ms 8540 KB Output is correct
84 Correct 13 ms 8652 KB Output is correct
85 Correct 12 ms 8540 KB Output is correct
86 Correct 13 ms 8536 KB Output is correct
87 Correct 13 ms 8664 KB Output is correct
88 Correct 13 ms 8540 KB Output is correct
89 Correct 13 ms 8664 KB Output is correct
90 Correct 20 ms 8660 KB Output is correct
91 Correct 19 ms 8924 KB Output is correct
92 Correct 19 ms 9052 KB Output is correct
93 Correct 19 ms 9052 KB Output is correct
94 Correct 19 ms 9052 KB Output is correct
95 Correct 19 ms 9052 KB Output is correct
96 Correct 22 ms 9432 KB Output is correct
97 Correct 29 ms 9304 KB Output is correct
98 Correct 27 ms 9308 KB Output is correct
99 Correct 22 ms 9428 KB Output is correct
100 Correct 21 ms 9296 KB Output is correct
101 Correct 21 ms 9300 KB Output is correct
102 Correct 23 ms 9308 KB Output is correct
103 Correct 21 ms 9308 KB Output is correct
104 Correct 28 ms 9304 KB Output is correct
105 Correct 22 ms 9304 KB Output is correct
106 Correct 22 ms 9556 KB Output is correct
107 Correct 23 ms 9556 KB Output is correct
108 Correct 22 ms 9676 KB Output is correct
109 Correct 21 ms 9556 KB Output is correct
110 Correct 21 ms 9552 KB Output is correct
111 Correct 22 ms 9432 KB Output is correct
112 Correct 22 ms 9428 KB Output is correct
113 Correct 21 ms 9552 KB Output is correct
114 Correct 24 ms 9556 KB Output is correct
115 Correct 27 ms 9556 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 6488 KB Output is correct
9 Correct 1 ms 6488 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 6488 KB Output is correct
13 Correct 2 ms 6492 KB Output is correct
14 Correct 13 ms 8540 KB Output is correct
15 Correct 22 ms 8968 KB Output is correct
16 Correct 37 ms 8784 KB Output is correct
17 Correct 32 ms 9044 KB Output is correct
18 Correct 34 ms 8788 KB Output is correct
19 Correct 34 ms 8792 KB Output is correct
20 Correct 34 ms 9044 KB Output is correct
21 Correct 34 ms 8784 KB Output is correct
22 Correct 34 ms 8848 KB Output is correct
23 Correct 35 ms 8796 KB Output is correct
24 Correct 40 ms 8788 KB Output is correct
25 Correct 34 ms 8788 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 14 ms 8672 KB Output is correct
30 Correct 26 ms 8748 KB Output is correct
31 Correct 37 ms 8788 KB Output is correct
32 Correct 39 ms 8728 KB Output is correct
33 Correct 38 ms 8796 KB Output is correct
34 Correct 38 ms 8700 KB Output is correct
35 Correct 39 ms 8796 KB Output is correct
36 Correct 39 ms 8676 KB Output is correct
37 Correct 44 ms 8656 KB Output is correct
38 Correct 41 ms 8788 KB Output is correct
39 Correct 38 ms 8788 KB Output is correct
40 Correct 40 ms 8776 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 6488 KB Output is correct
44 Correct 2 ms 6492 KB Output is correct
45 Correct 3 ms 6492 KB Output is correct
46 Correct 2 ms 6492 KB Output is correct
47 Correct 6 ms 8660 KB Output is correct
48 Correct 5 ms 8540 KB Output is correct
49 Correct 9 ms 8540 KB Output is correct
50 Correct 19 ms 8700 KB Output is correct
51 Correct 31 ms 8680 KB Output is correct
52 Correct 31 ms 8700 KB Output is correct
53 Correct 32 ms 8532 KB Output is correct
54 Correct 31 ms 8692 KB Output is correct
55 Correct 31 ms 8700 KB Output is correct
56 Correct 30 ms 8540 KB Output is correct
57 Correct 30 ms 8664 KB Output is correct
58 Correct 31 ms 8660 KB Output is correct
59 Correct 30 ms 8540 KB Output is correct
60 Correct 31 ms 8536 KB Output is correct
61 Correct 31 ms 8532 KB Output is correct
62 Correct 31 ms 8700 KB Output is correct
63 Correct 32 ms 8528 KB Output is correct
64 Correct 31 ms 8540 KB Output is correct
65 Correct 30 ms 8536 KB Output is correct
66 Correct 30 ms 8532 KB Output is correct
67 Correct 30 ms 8528 KB Output is correct
68 Correct 31 ms 8528 KB Output is correct
69 Correct 31 ms 8528 KB Output is correct
70 Correct 35 ms 8784 KB Output is correct
71 Correct 4 ms 8540 KB Output is correct
72 Correct 4 ms 8540 KB Output is correct
73 Correct 4 ms 8540 KB Output is correct
74 Correct 4 ms 8536 KB Output is correct
75 Correct 4 ms 8540 KB Output is correct
76 Correct 7 ms 8660 KB Output is correct
77 Correct 7 ms 8540 KB Output is correct
78 Correct 8 ms 8796 KB Output is correct
79 Correct 7 ms 8540 KB Output is correct
80 Correct 7 ms 8536 KB Output is correct
81 Correct 12 ms 8540 KB Output is correct
82 Correct 12 ms 8668 KB Output is correct
83 Correct 12 ms 8540 KB Output is correct
84 Correct 13 ms 8652 KB Output is correct
85 Correct 12 ms 8540 KB Output is correct
86 Correct 13 ms 8536 KB Output is correct
87 Correct 13 ms 8664 KB Output is correct
88 Correct 13 ms 8540 KB Output is correct
89 Correct 13 ms 8664 KB Output is correct
90 Correct 20 ms 8660 KB Output is correct
91 Correct 19 ms 8924 KB Output is correct
92 Correct 19 ms 9052 KB Output is correct
93 Correct 19 ms 9052 KB Output is correct
94 Correct 19 ms 9052 KB Output is correct
95 Correct 19 ms 9052 KB Output is correct
96 Correct 22 ms 9432 KB Output is correct
97 Correct 29 ms 9304 KB Output is correct
98 Correct 27 ms 9308 KB Output is correct
99 Correct 22 ms 9428 KB Output is correct
100 Correct 21 ms 9296 KB Output is correct
101 Correct 21 ms 9300 KB Output is correct
102 Correct 23 ms 9308 KB Output is correct
103 Correct 21 ms 9308 KB Output is correct
104 Correct 28 ms 9304 KB Output is correct
105 Correct 22 ms 9304 KB Output is correct
106 Correct 22 ms 9556 KB Output is correct
107 Correct 23 ms 9556 KB Output is correct
108 Correct 22 ms 9676 KB Output is correct
109 Correct 21 ms 9556 KB Output is correct
110 Correct 21 ms 9552 KB Output is correct
111 Correct 22 ms 9432 KB Output is correct
112 Correct 22 ms 9428 KB Output is correct
113 Correct 21 ms 9552 KB Output is correct
114 Correct 24 ms 9556 KB Output is correct
115 Correct 27 ms 9556 KB Output is correct
116 Correct 770 ms 6868 KB Output is correct
117 Correct 630 ms 6896 KB Output is correct
118 Runtime error 19 ms 13016 KB Execution killed with signal 11
119 Halted 0 ms 0 KB -