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Submission #956757

# Submission time Handle Problem Language Result Execution time Memory
956757 2024-04-02T12:46:13 Z TAhmed33 Diversity (CEOI21_diversity) C++
64 / 100
 7000 ms 9808 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
typedef long long ll;
const int MAXN = 3e5 + 1;
const int B = 1000;
int a[MAXN], n, q;
array <int, 3> queries[MAXN];
ll ans[MAXN];
int freq[MAXN], freq2[2 * MAXN + 1];
set <int> t;
void add (int x) {
	if (freq2[freq[a[x]] + MAXN] == 1) t.erase(freq[a[x]]);
	freq2[freq[a[x]] + MAXN]--;
	freq[a[x]]++;
	freq2[freq[a[x]] + MAXN]++;
	if (freq2[freq[a[x]] + MAXN] == 1) t.insert(freq[a[x]]);
}
void rem (int x) {
	if (freq2[freq[a[x]] + MAXN] == 1) t.erase(freq[a[x]]);
	freq2[freq[a[x]] + MAXN]--;
	freq[a[x]]--;
	freq2[freq[a[x]] + MAXN]++;
	if (freq2[freq[a[x]] + MAXN] == 1) t.insert(freq[a[x]]);
}
int main () {
	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n >> q;
	freq2[MAXN] = 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 + MAXN];
			int x = j, y = freq2[j + MAXN];
			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());
		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;
		}	
		for (auto [x, y] : pp[1]) {
			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';
}

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]) {
      |             ^
diversity.cpp:70:13: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   70 |   for (auto [x, y] : pp[1]) {
      |             ^

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 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 6628 KB Output is correct
5 Correct 21 ms 6492 KB Output is correct
6 Correct 34 ms 6744 KB Output is correct
7 Correct 30 ms 6748 KB Output is correct
8 Correct 34 ms 6768 KB Output is correct
9 Correct 38 ms 6616 KB Output is correct
10 Correct 33 ms 6744 KB Output is correct
11 Correct 34 ms 6744 KB Output is correct
12 Correct 42 ms 6748 KB Output is correct
13 Correct 34 ms 6744 KB Output is correct
14 Correct 34 ms 6744 KB Output is correct
15 Correct 34 ms 6744 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 6628 KB Output is correct
5 Correct 21 ms 6492 KB Output is correct
6 Correct 34 ms 6744 KB Output is correct
7 Correct 30 ms 6748 KB Output is correct
8 Correct 34 ms 6768 KB Output is correct
9 Correct 38 ms 6616 KB Output is correct
10 Correct 33 ms 6744 KB Output is correct
11 Correct 34 ms 6744 KB Output is correct
12 Correct 42 ms 6748 KB Output is correct
13 Correct 34 ms 6744 KB Output is correct
14 Correct 34 ms 6744 KB Output is correct
15 Correct 34 ms 6744 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6616 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 13 ms 6492 KB Output is correct
20 Correct 28 ms 6628 KB Output is correct
21 Correct 38 ms 6864 KB Output is correct
22 Correct 38 ms 6728 KB Output is correct
23 Correct 38 ms 6944 KB Output is correct
24 Correct 38 ms 6748 KB Output is correct
25 Correct 38 ms 6744 KB Output is correct
26 Correct 39 ms 6744 KB Output is correct
27 Correct 47 ms 6748 KB Output is correct
28 Correct 37 ms 6748 KB Output is correct
29 Correct 38 ms 6748 KB Output is correct
30 Correct 40 ms 6748 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 6628 KB Output is correct
5 Correct 21 ms 6492 KB Output is correct
6 Correct 34 ms 6744 KB Output is correct
7 Correct 30 ms 6748 KB Output is correct
8 Correct 34 ms 6768 KB Output is correct
9 Correct 38 ms 6616 KB Output is correct
10 Correct 33 ms 6744 KB Output is correct
11 Correct 34 ms 6744 KB Output is correct
12 Correct 42 ms 6748 KB Output is correct
13 Correct 34 ms 6744 KB Output is correct
14 Correct 34 ms 6744 KB Output is correct
15 Correct 34 ms 6744 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6616 KB Output is correct
18 Correct 2 ms 6492 KB Output is correct
19 Correct 13 ms 6492 KB Output is correct
20 Correct 28 ms 6628 KB Output is correct
21 Correct 38 ms 6864 KB Output is correct
22 Correct 38 ms 6728 KB Output is correct
23 Correct 38 ms 6944 KB Output is correct
24 Correct 38 ms 6748 KB Output is correct
25 Correct 38 ms 6744 KB Output is correct
26 Correct 39 ms 6744 KB Output is correct
27 Correct 47 ms 6748 KB Output is correct
28 Correct 37 ms 6748 KB Output is correct
29 Correct 38 ms 6748 KB Output is correct
30 Correct 40 ms 6748 KB Output is correct
31 Correct 1 ms 6492 KB Output is correct
32 Correct 1 ms 6744 KB Output is correct
33 Correct 1 ms 6492 KB Output is correct
34 Correct 2 ms 6492 KB Output is correct
35 Correct 2 ms 6492 KB Output is correct
36 Correct 1 ms 6492 KB Output is correct
37 Correct 6 ms 6492 KB Output is correct
38 Correct 4 ms 6492 KB Output is correct
39 Correct 9 ms 6492 KB Output is correct
40 Correct 20 ms 6492 KB Output is correct
41 Correct 38 ms 7000 KB Output is correct
42 Correct 31 ms 6748 KB Output is correct
43 Correct 32 ms 6780 KB Output is correct
44 Correct 31 ms 6748 KB Output is correct
45 Correct 30 ms 6748 KB Output is correct
46 Correct 30 ms 7024 KB Output is correct
47 Correct 33 ms 6592 KB Output is correct
48 Correct 31 ms 6748 KB Output is correct
49 Correct 31 ms 6748 KB Output is correct
50 Correct 31 ms 6616 KB Output is correct
51 Correct 31 ms 6744 KB Output is correct
52 Correct 30 ms 6748 KB Output is correct
53 Correct 31 ms 6720 KB Output is correct
54 Correct 31 ms 6744 KB Output is correct
55 Correct 30 ms 6792 KB Output is correct
56 Correct 34 ms 6748 KB Output is correct
57 Correct 31 ms 6748 KB Output is correct
58 Correct 37 ms 6744 KB Output is correct
59 Correct 31 ms 7032 KB Output is correct
60 Correct 31 ms 6748 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 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 6628 KB Output is correct
15 Correct 21 ms 6492 KB Output is correct
16 Correct 34 ms 6744 KB Output is correct
17 Correct 30 ms 6748 KB Output is correct
18 Correct 34 ms 6768 KB Output is correct
19 Correct 38 ms 6616 KB Output is correct
20 Correct 33 ms 6744 KB Output is correct
21 Correct 34 ms 6744 KB Output is correct
22 Correct 42 ms 6748 KB Output is correct
23 Correct 34 ms 6744 KB Output is correct
24 Correct 34 ms 6744 KB Output is correct
25 Correct 34 ms 6744 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6616 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 13 ms 6492 KB Output is correct
30 Correct 28 ms 6628 KB Output is correct
31 Correct 38 ms 6864 KB Output is correct
32 Correct 38 ms 6728 KB Output is correct
33 Correct 38 ms 6944 KB Output is correct
34 Correct 38 ms 6748 KB Output is correct
35 Correct 38 ms 6744 KB Output is correct
36 Correct 39 ms 6744 KB Output is correct
37 Correct 47 ms 6748 KB Output is correct
38 Correct 37 ms 6748 KB Output is correct
39 Correct 38 ms 6748 KB Output is correct
40 Correct 40 ms 6748 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6744 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 2 ms 6492 KB Output is correct
45 Correct 2 ms 6492 KB Output is correct
46 Correct 1 ms 6492 KB Output is correct
47 Correct 6 ms 6492 KB Output is correct
48 Correct 4 ms 6492 KB Output is correct
49 Correct 9 ms 6492 KB Output is correct
50 Correct 20 ms 6492 KB Output is correct
51 Correct 38 ms 7000 KB Output is correct
52 Correct 31 ms 6748 KB Output is correct
53 Correct 32 ms 6780 KB Output is correct
54 Correct 31 ms 6748 KB Output is correct
55 Correct 30 ms 6748 KB Output is correct
56 Correct 30 ms 7024 KB Output is correct
57 Correct 33 ms 6592 KB Output is correct
58 Correct 31 ms 6748 KB Output is correct
59 Correct 31 ms 6748 KB Output is correct
60 Correct 31 ms 6616 KB Output is correct
61 Correct 31 ms 6744 KB Output is correct
62 Correct 30 ms 6748 KB Output is correct
63 Correct 31 ms 6720 KB Output is correct
64 Correct 31 ms 6744 KB Output is correct
65 Correct 30 ms 6792 KB Output is correct
66 Correct 34 ms 6748 KB Output is correct
67 Correct 31 ms 6748 KB Output is correct
68 Correct 37 ms 6744 KB Output is correct
69 Correct 31 ms 7032 KB Output is correct
70 Correct 31 ms 6748 KB Output is correct
71 Correct 4 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 6492 KB Output is correct
75 Correct 4 ms 6492 KB Output is correct
76 Correct 7 ms 6612 KB Output is correct
77 Correct 7 ms 6496 KB Output is correct
78 Correct 7 ms 6492 KB Output is correct
79 Correct 8 ms 6492 KB Output is correct
80 Correct 6 ms 6488 KB Output is correct
81 Correct 12 ms 6616 KB Output is correct
82 Correct 12 ms 6616 KB Output is correct
83 Correct 12 ms 6492 KB Output is correct
84 Correct 12 ms 6492 KB Output is correct
85 Correct 12 ms 6492 KB Output is correct
86 Correct 17 ms 6492 KB Output is correct
87 Correct 13 ms 6488 KB Output is correct
88 Correct 15 ms 6620 KB Output is correct
89 Correct 14 ms 6612 KB Output is correct
90 Correct 13 ms 6488 KB Output is correct
91 Correct 19 ms 7004 KB Output is correct
92 Correct 18 ms 7004 KB Output is correct
93 Correct 19 ms 7004 KB Output is correct
94 Correct 24 ms 7000 KB Output is correct
95 Correct 18 ms 7256 KB Output is correct
96 Correct 21 ms 7516 KB Output is correct
97 Correct 21 ms 7376 KB Output is correct
98 Correct 21 ms 7384 KB Output is correct
99 Correct 21 ms 7516 KB Output is correct
100 Correct 21 ms 7516 KB Output is correct
101 Correct 22 ms 7516 KB Output is correct
102 Correct 22 ms 7500 KB Output is correct
103 Correct 21 ms 7516 KB Output is correct
104 Correct 22 ms 7516 KB Output is correct
105 Correct 21 ms 7516 KB Output is correct
106 Correct 21 ms 7516 KB Output is correct
107 Correct 22 ms 7880 KB Output is correct
108 Correct 21 ms 7512 KB Output is correct
109 Correct 21 ms 7516 KB Output is correct
110 Correct 22 ms 7508 KB Output is correct
111 Correct 21 ms 7564 KB Output is correct
112 Correct 21 ms 7516 KB Output is correct
113 Correct 21 ms 7512 KB Output is correct
114 Correct 21 ms 7516 KB Output is correct
115 Correct 22 ms 7516 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 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 6628 KB Output is correct
15 Correct 21 ms 6492 KB Output is correct
16 Correct 34 ms 6744 KB Output is correct
17 Correct 30 ms 6748 KB Output is correct
18 Correct 34 ms 6768 KB Output is correct
19 Correct 38 ms 6616 KB Output is correct
20 Correct 33 ms 6744 KB Output is correct
21 Correct 34 ms 6744 KB Output is correct
22 Correct 42 ms 6748 KB Output is correct
23 Correct 34 ms 6744 KB Output is correct
24 Correct 34 ms 6744 KB Output is correct
25 Correct 34 ms 6744 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6616 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 13 ms 6492 KB Output is correct
30 Correct 28 ms 6628 KB Output is correct
31 Correct 38 ms 6864 KB Output is correct
32 Correct 38 ms 6728 KB Output is correct
33 Correct 38 ms 6944 KB Output is correct
34 Correct 38 ms 6748 KB Output is correct
35 Correct 38 ms 6744 KB Output is correct
36 Correct 39 ms 6744 KB Output is correct
37 Correct 47 ms 6748 KB Output is correct
38 Correct 37 ms 6748 KB Output is correct
39 Correct 38 ms 6748 KB Output is correct
40 Correct 40 ms 6748 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6744 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 2 ms 6492 KB Output is correct
45 Correct 2 ms 6492 KB Output is correct
46 Correct 1 ms 6492 KB Output is correct
47 Correct 6 ms 6492 KB Output is correct
48 Correct 4 ms 6492 KB Output is correct
49 Correct 9 ms 6492 KB Output is correct
50 Correct 20 ms 6492 KB Output is correct
51 Correct 38 ms 7000 KB Output is correct
52 Correct 31 ms 6748 KB Output is correct
53 Correct 32 ms 6780 KB Output is correct
54 Correct 31 ms 6748 KB Output is correct
55 Correct 30 ms 6748 KB Output is correct
56 Correct 30 ms 7024 KB Output is correct
57 Correct 33 ms 6592 KB Output is correct
58 Correct 31 ms 6748 KB Output is correct
59 Correct 31 ms 6748 KB Output is correct
60 Correct 31 ms 6616 KB Output is correct
61 Correct 31 ms 6744 KB Output is correct
62 Correct 30 ms 6748 KB Output is correct
63 Correct 31 ms 6720 KB Output is correct
64 Correct 31 ms 6744 KB Output is correct
65 Correct 30 ms 6792 KB Output is correct
66 Correct 34 ms 6748 KB Output is correct
67 Correct 31 ms 6748 KB Output is correct
68 Correct 37 ms 6744 KB Output is correct
69 Correct 31 ms 7032 KB Output is correct
70 Correct 31 ms 6748 KB Output is correct
71 Correct 4 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 6492 KB Output is correct
75 Correct 4 ms 6492 KB Output is correct
76 Correct 7 ms 6612 KB Output is correct
77 Correct 7 ms 6496 KB Output is correct
78 Correct 7 ms 6492 KB Output is correct
79 Correct 8 ms 6492 KB Output is correct
80 Correct 6 ms 6488 KB Output is correct
81 Correct 12 ms 6616 KB Output is correct
82 Correct 12 ms 6616 KB Output is correct
83 Correct 12 ms 6492 KB Output is correct
84 Correct 12 ms 6492 KB Output is correct
85 Correct 12 ms 6492 KB Output is correct
86 Correct 17 ms 6492 KB Output is correct
87 Correct 13 ms 6488 KB Output is correct
88 Correct 15 ms 6620 KB Output is correct
89 Correct 14 ms 6612 KB Output is correct
90 Correct 13 ms 6488 KB Output is correct
91 Correct 19 ms 7004 KB Output is correct
92 Correct 18 ms 7004 KB Output is correct
93 Correct 19 ms 7004 KB Output is correct
94 Correct 24 ms 7000 KB Output is correct
95 Correct 18 ms 7256 KB Output is correct
96 Correct 21 ms 7516 KB Output is correct
97 Correct 21 ms 7376 KB Output is correct
98 Correct 21 ms 7384 KB Output is correct
99 Correct 21 ms 7516 KB Output is correct
100 Correct 21 ms 7516 KB Output is correct
101 Correct 22 ms 7516 KB Output is correct
102 Correct 22 ms 7500 KB Output is correct
103 Correct 21 ms 7516 KB Output is correct
104 Correct 22 ms 7516 KB Output is correct
105 Correct 21 ms 7516 KB Output is correct
106 Correct 21 ms 7516 KB Output is correct
107 Correct 22 ms 7880 KB Output is correct
108 Correct 21 ms 7512 KB Output is correct
109 Correct 21 ms 7516 KB Output is correct
110 Correct 22 ms 7508 KB Output is correct
111 Correct 21 ms 7564 KB Output is correct
112 Correct 21 ms 7516 KB Output is correct
113 Correct 21 ms 7512 KB Output is correct
114 Correct 21 ms 7516 KB Output is correct
115 Correct 22 ms 7516 KB Output is correct
116 Correct 1333 ms 9300 KB Output is correct
117 Correct 998 ms 9328 KB Output is correct
118 Correct 1785 ms 9580 KB Output is correct
119 Correct 755 ms 9596 KB Output is correct
120 Correct 418 ms 9808 KB Output is correct
121 Correct 843 ms 9596 KB Output is correct
122 Correct 445 ms 9596 KB Output is correct
123 Correct 2282 ms 9612 KB Output is correct
124 Correct 535 ms 9612 KB Output is correct
125 Correct 362 ms 9612 KB Output is correct
126 Execution timed out 7056 ms 9208 KB Time limit exceeded
127 Halted 0 ms 0 KB -