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Submission #813390

# Submission time Handle Problem Language Result Execution time Memory
813390 2023-08-07T16:42:18 Z enerelt14 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 33000 KB 
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <vector>
using namespace std;

#define ff first
#define ss second
#define ll long long

const int MX = 3e5 + 5;
const int MX1 = 5e4 + 5;
const int B = 1341;

int N, Q;
int a[MX], num[MX], l[MX], r[MX];
ll ans[MX1];
pair<pair<int, int>, pair<int, int> > q[MX1];
ll val;

struct T{
	ll sum, left_sum, right_sum;
	T() {
		sum = left_sum = right_sum = 0;
	}
} tree[4 * MX];

void show(T x) {
	cout << x.left_sum << " " << x.right_sum << " " << x.sum << "\n";
}

void update(int id, int l, int r, int pos, int x) {
	if(l > pos || pos > r) return;
	tree[id].sum += x;
	tree[id].left_sum += x * (pos - l + 1);
	tree[id].right_sum += x * (r - pos + 1);
	if(l == r) return;
	int mid = (l + r) / 2;
	update(id * 2 + 1, l, mid, pos, x);
	update(id * 2 + 2, mid + 1, r, pos, x);
}

T query(int id, int l, int r, int L, int R) {
	T res;
	if(L > r || l > R) return res;
	if(L <= l && r <= R) return tree[id];
	int mid = (l + r) / 2;
	if(L > mid) return query(id * 2 + 2, mid + 1, r, L, R);
	if(R <= mid) return query(id * 2 + 1, l, mid, L, R);
	T x = query(id * 2 + 1, l, mid, L, R), y = query(id * 2 + 2, mid + 1, r, L, R);
	res.sum = x.sum + y.sum;
	res.left_sum = x.left_sum + y.left_sum + y.sum * (mid - L + 1);
	res.right_sum = x.right_sum + y.right_sum + x.sum * (R - mid);
	return res;
}

int prv(int x) {
	if(x <= (N - 1) / 2) return N - x;
	else return N - x - 1;
}

int nxt(int x) {
	if(x <= N / 2) return N - x - 1;
	else return N - x;
}

void add(int x) {
	num[x]++;
	l[num[x]] = r[num[x] - 1];
	if(r[num[x]] == -1) r[num[x]] = l[num[x]];
	if(r[num[x] - 1] == l[num[x] - 1]) r[num[x] - 1] = l[num[x] - 1] = -1;
	else r[num[x] - 1] = prv(r[num[x] - 1]);
	update(0, 0, N - 1, l[num[x]], 1);
	T y, z;
	if(l[num[x]] != 0) y = query(0, 0, N - 1, 0, l[num[x]] - 1);
	if(l[num[x]] != N - 1) z = query(0, 0, N - 1, l[num[x]] + 1, N - 1);
	val += y.right_sum + y.sum + z.left_sum + z.sum;
	val += num[x];
	// show(y);
	// show(z);
	// cout << val << "\n---------\n";
}

void remove(int x) {
	num[x]--;
	r[num[x]] = l[num[x] + 1];
	if(l[num[x]] == -1) l[num[x]] = r[num[x]];
	if(r[num[x] + 1] == l[num[x] + 1]) r[num[x] + 1] = l[num[x] + 1] = -1;
	else l[num[x] + 1] = nxt(l[num[x] + 1]);
	update(0, 0, N - 1, r[num[x]], -1);
	T y, z;
	if(r[num[x]] != 0) y = query(0, 0, N - 1, 0, r[num[x]] - 1);
	if(r[num[x]] != N - 1) z = query(0, 0, N - 1, r[num[x]] + 1, N - 1);
	val -= y.right_sum + y.sum + z.left_sum + z.sum;
	val -= (num[x] + 1);
}

int main() {
	ios::sync_with_stdio(0);cin.tie(0);
	memset(l, -1, sizeof(l));
	memset(r, -1, sizeof(r));
	cin >> N >> Q;
	l[0] = 0;
	r[0] = N / 2;
	for(int i = 0; i < N; i++) cin >> a[i];
	for(int i = 0; i < Q; i++) {
		int l, r;
		cin >> l >> r;
		l--;
		r--;
		q[i] = {{l / B, r}, {l, i}};
	}
	sort(q, q + Q);
	for(int i = 0; i < Q; i++) {
		if(i == 0) {
			for(int j = 0; j <= q[i].ff.ss; j++) add(a[j]);
			for(int j = 0; j < q[i].ss.ff; j++) remove(a[j]);
			ans[q[i].ss.ss] = val;
			continue;
		}
		for(int j = q[i - 1].ff.ss + 1; j <= q[i].ff.ss; j++) add(a[j]);
		for(int j = q[i - 1].ff.ss; j > q[i].ff.ss; j--) remove(a[j]);
		for(int j = q[i - 1].ss.ff; j < q[i].ss.ff; j++) remove(a[j]);
		for(int j = q[i - 1].ss.ff - 1; j >= q[i].ss.ff; j--) add(a[j]);
		ans[q[i].ss.ss] = val;
	}
	for(int i = 0; i < Q; i++) {
		cout << ans[i] << "\n";
	}
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 30804 KB Output is correct
2 Correct 13 ms 30764 KB Output is correct
3 Correct 12 ms 30840 KB Output is correct
4 Correct 15 ms 30808 KB Output is correct
5 Correct 12 ms 30856 KB Output is correct
6 Correct 12 ms 30804 KB Output is correct
7 Correct 12 ms 30788 KB Output is correct
8 Correct 13 ms 30792 KB Output is correct
9 Correct 12 ms 30804 KB Output is correct
10 Correct 15 ms 30856 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 30804 KB Output is correct
2 Correct 14 ms 30804 KB Output is correct
3 Correct 15 ms 30804 KB Output is correct
4 Correct 42 ms 31236 KB Output is correct
5 Correct 78 ms 31636 KB Output is correct
6 Correct 118 ms 32020 KB Output is correct
7 Correct 110 ms 31948 KB Output is correct
8 Correct 111 ms 31928 KB Output is correct
9 Correct 131 ms 32012 KB Output is correct
10 Correct 110 ms 31956 KB Output is correct
11 Correct 116 ms 32016 KB Output is correct
12 Correct 114 ms 32016 KB Output is correct
13 Correct 111 ms 31972 KB Output is correct
14 Correct 113 ms 31936 KB Output is correct
15 Correct 122 ms 32016 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 30804 KB Output is correct
2 Correct 14 ms 30804 KB Output is correct
3 Correct 15 ms 30804 KB Output is correct
4 Correct 42 ms 31236 KB Output is correct
5 Correct 78 ms 31636 KB Output is correct
6 Correct 118 ms 32020 KB Output is correct
7 Correct 110 ms 31948 KB Output is correct
8 Correct 111 ms 31928 KB Output is correct
9 Correct 131 ms 32012 KB Output is correct
10 Correct 110 ms 31956 KB Output is correct
11 Correct 116 ms 32016 KB Output is correct
12 Correct 114 ms 32016 KB Output is correct
13 Correct 111 ms 31972 KB Output is correct
14 Correct 113 ms 31936 KB Output is correct
15 Correct 122 ms 32016 KB Output is correct
16 Correct 12 ms 30804 KB Output is correct
17 Correct 12 ms 30820 KB Output is correct
18 Correct 16 ms 30804 KB Output is correct
19 Correct 44 ms 31188 KB Output is correct
20 Correct 85 ms 31572 KB Output is correct
21 Correct 112 ms 32016 KB Output is correct
22 Correct 150 ms 31952 KB Output is correct
23 Correct 122 ms 32036 KB Output is correct
24 Correct 114 ms 32020 KB Output is correct
25 Correct 113 ms 32016 KB Output is correct
26 Correct 113 ms 32016 KB Output is correct
27 Correct 113 ms 31976 KB Output is correct
28 Correct 131 ms 31932 KB Output is correct
29 Correct 113 ms 32016 KB Output is correct
30 Correct 115 ms 32016 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 30804 KB Output is correct
2 Correct 14 ms 30804 KB Output is correct
3 Correct 15 ms 30804 KB Output is correct
4 Correct 42 ms 31236 KB Output is correct
5 Correct 78 ms 31636 KB Output is correct
6 Correct 118 ms 32020 KB Output is correct
7 Correct 110 ms 31948 KB Output is correct
8 Correct 111 ms 31928 KB Output is correct
9 Correct 131 ms 32012 KB Output is correct
10 Correct 110 ms 31956 KB Output is correct
11 Correct 116 ms 32016 KB Output is correct
12 Correct 114 ms 32016 KB Output is correct
13 Correct 111 ms 31972 KB Output is correct
14 Correct 113 ms 31936 KB Output is correct
15 Correct 122 ms 32016 KB Output is correct
16 Correct 12 ms 30804 KB Output is correct
17 Correct 12 ms 30820 KB Output is correct
18 Correct 16 ms 30804 KB Output is correct
19 Correct 44 ms 31188 KB Output is correct
20 Correct 85 ms 31572 KB Output is correct
21 Correct 112 ms 32016 KB Output is correct
22 Correct 150 ms 31952 KB Output is correct
23 Correct 122 ms 32036 KB Output is correct
24 Correct 114 ms 32020 KB Output is correct
25 Correct 113 ms 32016 KB Output is correct
26 Correct 113 ms 32016 KB Output is correct
27 Correct 113 ms 31976 KB Output is correct
28 Correct 131 ms 31932 KB Output is correct
29 Correct 113 ms 32016 KB Output is correct
30 Correct 115 ms 32016 KB Output is correct
31 Correct 12 ms 30804 KB Output is correct
32 Correct 13 ms 30780 KB Output is correct
33 Correct 13 ms 30804 KB Output is correct
34 Correct 15 ms 30804 KB Output is correct
35 Correct 16 ms 30884 KB Output is correct
36 Correct 16 ms 30916 KB Output is correct
37 Correct 31 ms 31068 KB Output is correct
38 Correct 32 ms 31060 KB Output is correct
39 Correct 52 ms 31260 KB Output is correct
40 Correct 95 ms 31632 KB Output is correct
41 Correct 141 ms 32016 KB Output is correct
42 Correct 141 ms 32020 KB Output is correct
43 Correct 139 ms 32024 KB Output is correct
44 Correct 142 ms 31952 KB Output is correct
45 Correct 139 ms 32024 KB Output is correct
46 Correct 140 ms 31968 KB Output is correct
47 Correct 140 ms 32020 KB Output is correct
48 Correct 145 ms 32016 KB Output is correct
49 Correct 145 ms 31900 KB Output is correct
50 Correct 139 ms 32000 KB Output is correct
51 Correct 140 ms 31956 KB Output is correct
52 Correct 140 ms 31932 KB Output is correct
53 Correct 143 ms 32020 KB Output is correct
54 Correct 139 ms 31936 KB Output is correct
55 Correct 146 ms 32020 KB Output is correct
56 Correct 140 ms 32024 KB Output is correct
57 Correct 161 ms 32024 KB Output is correct
58 Correct 158 ms 32020 KB Output is correct
59 Correct 141 ms 32020 KB Output is correct
60 Correct 140 ms 31956 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 30804 KB Output is correct
2 Correct 13 ms 30764 KB Output is correct
3 Correct 12 ms 30840 KB Output is correct
4 Correct 15 ms 30808 KB Output is correct
5 Correct 12 ms 30856 KB Output is correct
6 Correct 12 ms 30804 KB Output is correct
7 Correct 12 ms 30788 KB Output is correct
8 Correct 13 ms 30792 KB Output is correct
9 Correct 12 ms 30804 KB Output is correct
10 Correct 15 ms 30856 KB Output is correct
11 Correct 13 ms 30804 KB Output is correct
12 Correct 14 ms 30804 KB Output is correct
13 Correct 15 ms 30804 KB Output is correct
14 Correct 42 ms 31236 KB Output is correct
15 Correct 78 ms 31636 KB Output is correct
16 Correct 118 ms 32020 KB Output is correct
17 Correct 110 ms 31948 KB Output is correct
18 Correct 111 ms 31928 KB Output is correct
19 Correct 131 ms 32012 KB Output is correct
20 Correct 110 ms 31956 KB Output is correct
21 Correct 116 ms 32016 KB Output is correct
22 Correct 114 ms 32016 KB Output is correct
23 Correct 111 ms 31972 KB Output is correct
24 Correct 113 ms 31936 KB Output is correct
25 Correct 122 ms 32016 KB Output is correct
26 Correct 12 ms 30804 KB Output is correct
27 Correct 12 ms 30820 KB Output is correct
28 Correct 16 ms 30804 KB Output is correct
29 Correct 44 ms 31188 KB Output is correct
30 Correct 85 ms 31572 KB Output is correct
31 Correct 112 ms 32016 KB Output is correct
32 Correct 150 ms 31952 KB Output is correct
33 Correct 122 ms 32036 KB Output is correct
34 Correct 114 ms 32020 KB Output is correct
35 Correct 113 ms 32016 KB Output is correct
36 Correct 113 ms 32016 KB Output is correct
37 Correct 113 ms 31976 KB Output is correct
38 Correct 131 ms 31932 KB Output is correct
39 Correct 113 ms 32016 KB Output is correct
40 Correct 115 ms 32016 KB Output is correct
41 Correct 12 ms 30804 KB Output is correct
42 Correct 13 ms 30780 KB Output is correct
43 Correct 13 ms 30804 KB Output is correct
44 Correct 15 ms 30804 KB Output is correct
45 Correct 16 ms 30884 KB Output is correct
46 Correct 16 ms 30916 KB Output is correct
47 Correct 31 ms 31068 KB Output is correct
48 Correct 32 ms 31060 KB Output is correct
49 Correct 52 ms 31260 KB Output is correct
50 Correct 95 ms 31632 KB Output is correct
51 Correct 141 ms 32016 KB Output is correct
52 Correct 141 ms 32020 KB Output is correct
53 Correct 139 ms 32024 KB Output is correct
54 Correct 142 ms 31952 KB Output is correct
55 Correct 139 ms 32024 KB Output is correct
56 Correct 140 ms 31968 KB Output is correct
57 Correct 140 ms 32020 KB Output is correct
58 Correct 145 ms 32016 KB Output is correct
59 Correct 145 ms 31900 KB Output is correct
60 Correct 139 ms 32000 KB Output is correct
61 Correct 140 ms 31956 KB Output is correct
62 Correct 140 ms 31932 KB Output is correct
63 Correct 143 ms 32020 KB Output is correct
64 Correct 139 ms 31936 KB Output is correct
65 Correct 146 ms 32020 KB Output is correct
66 Correct 140 ms 32024 KB Output is correct
67 Correct 161 ms 32024 KB Output is correct
68 Correct 158 ms 32020 KB Output is correct
69 Correct 141 ms 32020 KB Output is correct
70 Correct 140 ms 31956 KB Output is correct
71 Correct 33 ms 30952 KB Output is correct
72 Correct 33 ms 31060 KB Output is correct
73 Correct 34 ms 31060 KB Output is correct
74 Correct 33 ms 31060 KB Output is correct
75 Correct 35 ms 30976 KB Output is correct
76 Correct 65 ms 31260 KB Output is correct
77 Correct 59 ms 31316 KB Output is correct
78 Correct 56 ms 31260 KB Output is correct
79 Correct 56 ms 31256 KB Output is correct
80 Correct 56 ms 31260 KB Output is correct
81 Correct 107 ms 31560 KB Output is correct
82 Correct 108 ms 31664 KB Output is correct
83 Correct 105 ms 31684 KB Output is correct
84 Correct 102 ms 31600 KB Output is correct
85 Correct 103 ms 31668 KB Output is correct
86 Correct 104 ms 31592 KB Output is correct
87 Correct 104 ms 31708 KB Output is correct
88 Correct 108 ms 31828 KB Output is correct
89 Correct 104 ms 31708 KB Output is correct
90 Correct 104 ms 31704 KB Output is correct
91 Correct 153 ms 32412 KB Output is correct
92 Correct 166 ms 32412 KB Output is correct
93 Correct 154 ms 32408 KB Output is correct
94 Correct 155 ms 32408 KB Output is correct
95 Correct 160 ms 32388 KB Output is correct
96 Correct 167 ms 32804 KB Output is correct
97 Correct 154 ms 32724 KB Output is correct
98 Correct 155 ms 32684 KB Output is correct
99 Correct 154 ms 32796 KB Output is correct
100 Correct 157 ms 32812 KB Output is correct
101 Correct 158 ms 32816 KB Output is correct
102 Correct 168 ms 32804 KB Output is correct
103 Correct 159 ms 32796 KB Output is correct
104 Correct 157 ms 32716 KB Output is correct
105 Correct 156 ms 32716 KB Output is correct
106 Correct 151 ms 32972 KB Output is correct
107 Correct 162 ms 32992 KB Output is correct
108 Correct 159 ms 32988 KB Output is correct
109 Correct 151 ms 32996 KB Output is correct
110 Correct 153 ms 32972 KB Output is correct
111 Correct 159 ms 33000 KB Output is correct
112 Correct 151 ms 32992 KB Output is correct
113 Correct 150 ms 32920 KB Output is correct
114 Correct 151 ms 32992 KB Output is correct
115 Correct 159 ms 32992 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 30804 KB Output is correct
2 Correct 13 ms 30764 KB Output is correct
3 Correct 12 ms 30840 KB Output is correct
4 Correct 15 ms 30808 KB Output is correct
5 Correct 12 ms 30856 KB Output is correct
6 Correct 12 ms 30804 KB Output is correct
7 Correct 12 ms 30788 KB Output is correct
8 Correct 13 ms 30792 KB Output is correct
9 Correct 12 ms 30804 KB Output is correct
10 Correct 15 ms 30856 KB Output is correct
11 Correct 13 ms 30804 KB Output is correct
12 Correct 14 ms 30804 KB Output is correct
13 Correct 15 ms 30804 KB Output is correct
14 Correct 42 ms 31236 KB Output is correct
15 Correct 78 ms 31636 KB Output is correct
16 Correct 118 ms 32020 KB Output is correct
17 Correct 110 ms 31948 KB Output is correct
18 Correct 111 ms 31928 KB Output is correct
19 Correct 131 ms 32012 KB Output is correct
20 Correct 110 ms 31956 KB Output is correct
21 Correct 116 ms 32016 KB Output is correct
22 Correct 114 ms 32016 KB Output is correct
23 Correct 111 ms 31972 KB Output is correct
24 Correct 113 ms 31936 KB Output is correct
25 Correct 122 ms 32016 KB Output is correct
26 Correct 12 ms 30804 KB Output is correct
27 Correct 12 ms 30820 KB Output is correct
28 Correct 16 ms 30804 KB Output is correct
29 Correct 44 ms 31188 KB Output is correct
30 Correct 85 ms 31572 KB Output is correct
31 Correct 112 ms 32016 KB Output is correct
32 Correct 150 ms 31952 KB Output is correct
33 Correct 122 ms 32036 KB Output is correct
34 Correct 114 ms 32020 KB Output is correct
35 Correct 113 ms 32016 KB Output is correct
36 Correct 113 ms 32016 KB Output is correct
37 Correct 113 ms 31976 KB Output is correct
38 Correct 131 ms 31932 KB Output is correct
39 Correct 113 ms 32016 KB Output is correct
40 Correct 115 ms 32016 KB Output is correct
41 Correct 12 ms 30804 KB Output is correct
42 Correct 13 ms 30780 KB Output is correct
43 Correct 13 ms 30804 KB Output is correct
44 Correct 15 ms 30804 KB Output is correct
45 Correct 16 ms 30884 KB Output is correct
46 Correct 16 ms 30916 KB Output is correct
47 Correct 31 ms 31068 KB Output is correct
48 Correct 32 ms 31060 KB Output is correct
49 Correct 52 ms 31260 KB Output is correct
50 Correct 95 ms 31632 KB Output is correct
51 Correct 141 ms 32016 KB Output is correct
52 Correct 141 ms 32020 KB Output is correct
53 Correct 139 ms 32024 KB Output is correct
54 Correct 142 ms 31952 KB Output is correct
55 Correct 139 ms 32024 KB Output is correct
56 Correct 140 ms 31968 KB Output is correct
57 Correct 140 ms 32020 KB Output is correct
58 Correct 145 ms 32016 KB Output is correct
59 Correct 145 ms 31900 KB Output is correct
60 Correct 139 ms 32000 KB Output is correct
61 Correct 140 ms 31956 KB Output is correct
62 Correct 140 ms 31932 KB Output is correct
63 Correct 143 ms 32020 KB Output is correct
64 Correct 139 ms 31936 KB Output is correct
65 Correct 146 ms 32020 KB Output is correct
66 Correct 140 ms 32024 KB Output is correct
67 Correct 161 ms 32024 KB Output is correct
68 Correct 158 ms 32020 KB Output is correct
69 Correct 141 ms 32020 KB Output is correct
70 Correct 140 ms 31956 KB Output is correct
71 Correct 33 ms 30952 KB Output is correct
72 Correct 33 ms 31060 KB Output is correct
73 Correct 34 ms 31060 KB Output is correct
74 Correct 33 ms 31060 KB Output is correct
75 Correct 35 ms 30976 KB Output is correct
76 Correct 65 ms 31260 KB Output is correct
77 Correct 59 ms 31316 KB Output is correct
78 Correct 56 ms 31260 KB Output is correct
79 Correct 56 ms 31256 KB Output is correct
80 Correct 56 ms 31260 KB Output is correct
81 Correct 107 ms 31560 KB Output is correct
82 Correct 108 ms 31664 KB Output is correct
83 Correct 105 ms 31684 KB Output is correct
84 Correct 102 ms 31600 KB Output is correct
85 Correct 103 ms 31668 KB Output is correct
86 Correct 104 ms 31592 KB Output is correct
87 Correct 104 ms 31708 KB Output is correct
88 Correct 108 ms 31828 KB Output is correct
89 Correct 104 ms 31708 KB Output is correct
90 Correct 104 ms 31704 KB Output is correct
91 Correct 153 ms 32412 KB Output is correct
92 Correct 166 ms 32412 KB Output is correct
93 Correct 154 ms 32408 KB Output is correct
94 Correct 155 ms 32408 KB Output is correct
95 Correct 160 ms 32388 KB Output is correct
96 Correct 167 ms 32804 KB Output is correct
97 Correct 154 ms 32724 KB Output is correct
98 Correct 155 ms 32684 KB Output is correct
99 Correct 154 ms 32796 KB Output is correct
100 Correct 157 ms 32812 KB Output is correct
101 Correct 158 ms 32816 KB Output is correct
102 Correct 168 ms 32804 KB Output is correct
103 Correct 159 ms 32796 KB Output is correct
104 Correct 157 ms 32716 KB Output is correct
105 Correct 156 ms 32716 KB Output is correct
106 Correct 151 ms 32972 KB Output is correct
107 Correct 162 ms 32992 KB Output is correct
108 Correct 159 ms 32988 KB Output is correct
109 Correct 151 ms 32996 KB Output is correct
110 Correct 153 ms 32972 KB Output is correct
111 Correct 159 ms 33000 KB Output is correct
112 Correct 151 ms 32992 KB Output is correct
113 Correct 150 ms 32920 KB Output is correct
114 Correct 151 ms 32992 KB Output is correct
115 Correct 159 ms 32992 KB Output is correct
116 Correct 4731 ms 32440 KB Output is correct
117 Correct 5072 ms 32436 KB Output is correct
118 Correct 6676 ms 32724 KB Output is correct
119 Execution timed out 7081 ms 32180 KB Time limit exceeded
120 Halted 0 ms 0 KB -