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Submission #814245

# Submission time Handle Problem Language Result Execution time Memory
814245 2023-08-08T06:33:28 Z khshg Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 32996 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 = 3333;
 
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 13 ms 30800 KB Output is correct
2 Correct 13 ms 30804 KB Output is correct
3 Correct 13 ms 30756 KB Output is correct
4 Correct 13 ms 30852 KB Output is correct
5 Correct 13 ms 30788 KB Output is correct
6 Correct 14 ms 30832 KB Output is correct
7 Correct 13 ms 30780 KB Output is correct
8 Correct 13 ms 30804 KB Output is correct
9 Correct 13 ms 30764 KB Output is correct
10 Correct 13 ms 30804 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 12 ms 30796 KB Output is correct
3 Correct 15 ms 30804 KB Output is correct
4 Correct 44 ms 31252 KB Output is correct
5 Correct 101 ms 31720 KB Output is correct
6 Correct 113 ms 31932 KB Output is correct
7 Correct 109 ms 32012 KB Output is correct
8 Correct 111 ms 31956 KB Output is correct
9 Correct 110 ms 32016 KB Output is correct
10 Correct 113 ms 32012 KB Output is correct
11 Correct 118 ms 32016 KB Output is correct
12 Correct 111 ms 32016 KB Output is correct
13 Correct 122 ms 32024 KB Output is correct
14 Correct 110 ms 31996 KB Output is correct
15 Correct 109 ms 32004 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 12 ms 30796 KB Output is correct
3 Correct 15 ms 30804 KB Output is correct
4 Correct 44 ms 31252 KB Output is correct
5 Correct 101 ms 31720 KB Output is correct
6 Correct 113 ms 31932 KB Output is correct
7 Correct 109 ms 32012 KB Output is correct
8 Correct 111 ms 31956 KB Output is correct
9 Correct 110 ms 32016 KB Output is correct
10 Correct 113 ms 32012 KB Output is correct
11 Correct 118 ms 32016 KB Output is correct
12 Correct 111 ms 32016 KB Output is correct
13 Correct 122 ms 32024 KB Output is correct
14 Correct 110 ms 31996 KB Output is correct
15 Correct 109 ms 32004 KB Output is correct
16 Correct 12 ms 30804 KB Output is correct
17 Correct 15 ms 30756 KB Output is correct
18 Correct 19 ms 30840 KB Output is correct
19 Correct 43 ms 31240 KB Output is correct
20 Correct 83 ms 31640 KB Output is correct
21 Correct 112 ms 32012 KB Output is correct
22 Correct 114 ms 32016 KB Output is correct
23 Correct 123 ms 32016 KB Output is correct
24 Correct 116 ms 31956 KB Output is correct
25 Correct 114 ms 31964 KB Output is correct
26 Correct 116 ms 32012 KB Output is correct
27 Correct 120 ms 32016 KB Output is correct
28 Correct 117 ms 32024 KB Output is correct
29 Correct 113 ms 32012 KB Output is correct
30 Correct 117 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 12 ms 30796 KB Output is correct
3 Correct 15 ms 30804 KB Output is correct
4 Correct 44 ms 31252 KB Output is correct
5 Correct 101 ms 31720 KB Output is correct
6 Correct 113 ms 31932 KB Output is correct
7 Correct 109 ms 32012 KB Output is correct
8 Correct 111 ms 31956 KB Output is correct
9 Correct 110 ms 32016 KB Output is correct
10 Correct 113 ms 32012 KB Output is correct
11 Correct 118 ms 32016 KB Output is correct
12 Correct 111 ms 32016 KB Output is correct
13 Correct 122 ms 32024 KB Output is correct
14 Correct 110 ms 31996 KB Output is correct
15 Correct 109 ms 32004 KB Output is correct
16 Correct 12 ms 30804 KB Output is correct
17 Correct 15 ms 30756 KB Output is correct
18 Correct 19 ms 30840 KB Output is correct
19 Correct 43 ms 31240 KB Output is correct
20 Correct 83 ms 31640 KB Output is correct
21 Correct 112 ms 32012 KB Output is correct
22 Correct 114 ms 32016 KB Output is correct
23 Correct 123 ms 32016 KB Output is correct
24 Correct 116 ms 31956 KB Output is correct
25 Correct 114 ms 31964 KB Output is correct
26 Correct 116 ms 32012 KB Output is correct
27 Correct 120 ms 32016 KB Output is correct
28 Correct 117 ms 32024 KB Output is correct
29 Correct 113 ms 32012 KB Output is correct
30 Correct 117 ms 32016 KB Output is correct
31 Correct 13 ms 30804 KB Output is correct
32 Correct 13 ms 30832 KB Output is correct
33 Correct 13 ms 30872 KB Output is correct
34 Correct 16 ms 30804 KB Output is correct
35 Correct 15 ms 30884 KB Output is correct
36 Correct 16 ms 30804 KB Output is correct
37 Correct 30 ms 31060 KB Output is correct
38 Correct 31 ms 31060 KB Output is correct
39 Correct 52 ms 31160 KB Output is correct
40 Correct 101 ms 31628 KB Output is correct
41 Correct 168 ms 32028 KB Output is correct
42 Correct 137 ms 32020 KB Output is correct
43 Correct 138 ms 32020 KB Output is correct
44 Correct 136 ms 32020 KB Output is correct
45 Correct 141 ms 32024 KB Output is correct
46 Correct 143 ms 32020 KB Output is correct
47 Correct 139 ms 32020 KB Output is correct
48 Correct 142 ms 31956 KB Output is correct
49 Correct 138 ms 32016 KB Output is correct
50 Correct 141 ms 32016 KB Output is correct
51 Correct 165 ms 32028 KB Output is correct
52 Correct 139 ms 31944 KB Output is correct
53 Correct 138 ms 32016 KB Output is correct
54 Correct 141 ms 32232 KB Output is correct
55 Correct 141 ms 32020 KB Output is correct
56 Correct 170 ms 31948 KB Output is correct
57 Correct 161 ms 32020 KB Output is correct
58 Correct 145 ms 31952 KB Output is correct
59 Correct 137 ms 32016 KB Output is correct
60 Correct 139 ms 32020 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 30800 KB Output is correct
2 Correct 13 ms 30804 KB Output is correct
3 Correct 13 ms 30756 KB Output is correct
4 Correct 13 ms 30852 KB Output is correct
5 Correct 13 ms 30788 KB Output is correct
6 Correct 14 ms 30832 KB Output is correct
7 Correct 13 ms 30780 KB Output is correct
8 Correct 13 ms 30804 KB Output is correct
9 Correct 13 ms 30764 KB Output is correct
10 Correct 13 ms 30804 KB Output is correct
11 Correct 13 ms 30804 KB Output is correct
12 Correct 12 ms 30796 KB Output is correct
13 Correct 15 ms 30804 KB Output is correct
14 Correct 44 ms 31252 KB Output is correct
15 Correct 101 ms 31720 KB Output is correct
16 Correct 113 ms 31932 KB Output is correct
17 Correct 109 ms 32012 KB Output is correct
18 Correct 111 ms 31956 KB Output is correct
19 Correct 110 ms 32016 KB Output is correct
20 Correct 113 ms 32012 KB Output is correct
21 Correct 118 ms 32016 KB Output is correct
22 Correct 111 ms 32016 KB Output is correct
23 Correct 122 ms 32024 KB Output is correct
24 Correct 110 ms 31996 KB Output is correct
25 Correct 109 ms 32004 KB Output is correct
26 Correct 12 ms 30804 KB Output is correct
27 Correct 15 ms 30756 KB Output is correct
28 Correct 19 ms 30840 KB Output is correct
29 Correct 43 ms 31240 KB Output is correct
30 Correct 83 ms 31640 KB Output is correct
31 Correct 112 ms 32012 KB Output is correct
32 Correct 114 ms 32016 KB Output is correct
33 Correct 123 ms 32016 KB Output is correct
34 Correct 116 ms 31956 KB Output is correct
35 Correct 114 ms 31964 KB Output is correct
36 Correct 116 ms 32012 KB Output is correct
37 Correct 120 ms 32016 KB Output is correct
38 Correct 117 ms 32024 KB Output is correct
39 Correct 113 ms 32012 KB Output is correct
40 Correct 117 ms 32016 KB Output is correct
41 Correct 13 ms 30804 KB Output is correct
42 Correct 13 ms 30832 KB Output is correct
43 Correct 13 ms 30872 KB Output is correct
44 Correct 16 ms 30804 KB Output is correct
45 Correct 15 ms 30884 KB Output is correct
46 Correct 16 ms 30804 KB Output is correct
47 Correct 30 ms 31060 KB Output is correct
48 Correct 31 ms 31060 KB Output is correct
49 Correct 52 ms 31160 KB Output is correct
50 Correct 101 ms 31628 KB Output is correct
51 Correct 168 ms 32028 KB Output is correct
52 Correct 137 ms 32020 KB Output is correct
53 Correct 138 ms 32020 KB Output is correct
54 Correct 136 ms 32020 KB Output is correct
55 Correct 141 ms 32024 KB Output is correct
56 Correct 143 ms 32020 KB Output is correct
57 Correct 139 ms 32020 KB Output is correct
58 Correct 142 ms 31956 KB Output is correct
59 Correct 138 ms 32016 KB Output is correct
60 Correct 141 ms 32016 KB Output is correct
61 Correct 165 ms 32028 KB Output is correct
62 Correct 139 ms 31944 KB Output is correct
63 Correct 138 ms 32016 KB Output is correct
64 Correct 141 ms 32232 KB Output is correct
65 Correct 141 ms 32020 KB Output is correct
66 Correct 170 ms 31948 KB Output is correct
67 Correct 161 ms 32020 KB Output is correct
68 Correct 145 ms 31952 KB Output is correct
69 Correct 137 ms 32016 KB Output is correct
70 Correct 139 ms 32020 KB Output is correct
71 Correct 33 ms 31060 KB Output is correct
72 Correct 33 ms 31056 KB Output is correct
73 Correct 32 ms 31008 KB Output is correct
74 Correct 33 ms 30984 KB Output is correct
75 Correct 32 ms 31044 KB Output is correct
76 Correct 54 ms 31188 KB Output is correct
77 Correct 57 ms 31196 KB Output is correct
78 Correct 55 ms 31256 KB Output is correct
79 Correct 55 ms 31188 KB Output is correct
80 Correct 54 ms 31164 KB Output is correct
81 Correct 100 ms 31668 KB Output is correct
82 Correct 102 ms 31668 KB Output is correct
83 Correct 102 ms 31664 KB Output is correct
84 Correct 101 ms 31668 KB Output is correct
85 Correct 102 ms 31688 KB Output is correct
86 Correct 104 ms 31708 KB Output is correct
87 Correct 105 ms 31700 KB Output is correct
88 Correct 106 ms 31704 KB Output is correct
89 Correct 126 ms 31616 KB Output is correct
90 Correct 102 ms 31700 KB Output is correct
91 Correct 156 ms 32404 KB Output is correct
92 Correct 156 ms 32416 KB Output is correct
93 Correct 165 ms 32404 KB Output is correct
94 Correct 153 ms 32404 KB Output is correct
95 Correct 161 ms 32412 KB Output is correct
96 Correct 156 ms 32804 KB Output is correct
97 Correct 154 ms 32800 KB Output is correct
98 Correct 159 ms 32804 KB Output is correct
99 Correct 174 ms 32892 KB Output is correct
100 Correct 163 ms 32800 KB Output is correct
101 Correct 156 ms 32744 KB Output is correct
102 Correct 155 ms 32736 KB Output is correct
103 Correct 156 ms 32800 KB Output is correct
104 Correct 155 ms 32800 KB Output is correct
105 Correct 159 ms 32804 KB Output is correct
106 Correct 151 ms 32988 KB Output is correct
107 Correct 162 ms 32988 KB Output is correct
108 Correct 153 ms 32992 KB Output is correct
109 Correct 152 ms 32988 KB Output is correct
110 Correct 156 ms 32992 KB Output is correct
111 Correct 170 ms 32988 KB Output is correct
112 Correct 185 ms 32992 KB Output is correct
113 Correct 157 ms 32956 KB Output is correct
114 Correct 164 ms 32996 KB Output is correct
115 Correct 185 ms 32996 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 30800 KB Output is correct
2 Correct 13 ms 30804 KB Output is correct
3 Correct 13 ms 30756 KB Output is correct
4 Correct 13 ms 30852 KB Output is correct
5 Correct 13 ms 30788 KB Output is correct
6 Correct 14 ms 30832 KB Output is correct
7 Correct 13 ms 30780 KB Output is correct
8 Correct 13 ms 30804 KB Output is correct
9 Correct 13 ms 30764 KB Output is correct
10 Correct 13 ms 30804 KB Output is correct
11 Correct 13 ms 30804 KB Output is correct
12 Correct 12 ms 30796 KB Output is correct
13 Correct 15 ms 30804 KB Output is correct
14 Correct 44 ms 31252 KB Output is correct
15 Correct 101 ms 31720 KB Output is correct
16 Correct 113 ms 31932 KB Output is correct
17 Correct 109 ms 32012 KB Output is correct
18 Correct 111 ms 31956 KB Output is correct
19 Correct 110 ms 32016 KB Output is correct
20 Correct 113 ms 32012 KB Output is correct
21 Correct 118 ms 32016 KB Output is correct
22 Correct 111 ms 32016 KB Output is correct
23 Correct 122 ms 32024 KB Output is correct
24 Correct 110 ms 31996 KB Output is correct
25 Correct 109 ms 32004 KB Output is correct
26 Correct 12 ms 30804 KB Output is correct
27 Correct 15 ms 30756 KB Output is correct
28 Correct 19 ms 30840 KB Output is correct
29 Correct 43 ms 31240 KB Output is correct
30 Correct 83 ms 31640 KB Output is correct
31 Correct 112 ms 32012 KB Output is correct
32 Correct 114 ms 32016 KB Output is correct
33 Correct 123 ms 32016 KB Output is correct
34 Correct 116 ms 31956 KB Output is correct
35 Correct 114 ms 31964 KB Output is correct
36 Correct 116 ms 32012 KB Output is correct
37 Correct 120 ms 32016 KB Output is correct
38 Correct 117 ms 32024 KB Output is correct
39 Correct 113 ms 32012 KB Output is correct
40 Correct 117 ms 32016 KB Output is correct
41 Correct 13 ms 30804 KB Output is correct
42 Correct 13 ms 30832 KB Output is correct
43 Correct 13 ms 30872 KB Output is correct
44 Correct 16 ms 30804 KB Output is correct
45 Correct 15 ms 30884 KB Output is correct
46 Correct 16 ms 30804 KB Output is correct
47 Correct 30 ms 31060 KB Output is correct
48 Correct 31 ms 31060 KB Output is correct
49 Correct 52 ms 31160 KB Output is correct
50 Correct 101 ms 31628 KB Output is correct
51 Correct 168 ms 32028 KB Output is correct
52 Correct 137 ms 32020 KB Output is correct
53 Correct 138 ms 32020 KB Output is correct
54 Correct 136 ms 32020 KB Output is correct
55 Correct 141 ms 32024 KB Output is correct
56 Correct 143 ms 32020 KB Output is correct
57 Correct 139 ms 32020 KB Output is correct
58 Correct 142 ms 31956 KB Output is correct
59 Correct 138 ms 32016 KB Output is correct
60 Correct 141 ms 32016 KB Output is correct
61 Correct 165 ms 32028 KB Output is correct
62 Correct 139 ms 31944 KB Output is correct
63 Correct 138 ms 32016 KB Output is correct
64 Correct 141 ms 32232 KB Output is correct
65 Correct 141 ms 32020 KB Output is correct
66 Correct 170 ms 31948 KB Output is correct
67 Correct 161 ms 32020 KB Output is correct
68 Correct 145 ms 31952 KB Output is correct
69 Correct 137 ms 32016 KB Output is correct
70 Correct 139 ms 32020 KB Output is correct
71 Correct 33 ms 31060 KB Output is correct
72 Correct 33 ms 31056 KB Output is correct
73 Correct 32 ms 31008 KB Output is correct
74 Correct 33 ms 30984 KB Output is correct
75 Correct 32 ms 31044 KB Output is correct
76 Correct 54 ms 31188 KB Output is correct
77 Correct 57 ms 31196 KB Output is correct
78 Correct 55 ms 31256 KB Output is correct
79 Correct 55 ms 31188 KB Output is correct
80 Correct 54 ms 31164 KB Output is correct
81 Correct 100 ms 31668 KB Output is correct
82 Correct 102 ms 31668 KB Output is correct
83 Correct 102 ms 31664 KB Output is correct
84 Correct 101 ms 31668 KB Output is correct
85 Correct 102 ms 31688 KB Output is correct
86 Correct 104 ms 31708 KB Output is correct
87 Correct 105 ms 31700 KB Output is correct
88 Correct 106 ms 31704 KB Output is correct
89 Correct 126 ms 31616 KB Output is correct
90 Correct 102 ms 31700 KB Output is correct
91 Correct 156 ms 32404 KB Output is correct
92 Correct 156 ms 32416 KB Output is correct
93 Correct 165 ms 32404 KB Output is correct
94 Correct 153 ms 32404 KB Output is correct
95 Correct 161 ms 32412 KB Output is correct
96 Correct 156 ms 32804 KB Output is correct
97 Correct 154 ms 32800 KB Output is correct
98 Correct 159 ms 32804 KB Output is correct
99 Correct 174 ms 32892 KB Output is correct
100 Correct 163 ms 32800 KB Output is correct
101 Correct 156 ms 32744 KB Output is correct
102 Correct 155 ms 32736 KB Output is correct
103 Correct 156 ms 32800 KB Output is correct
104 Correct 155 ms 32800 KB Output is correct
105 Correct 159 ms 32804 KB Output is correct
106 Correct 151 ms 32988 KB Output is correct
107 Correct 162 ms 32988 KB Output is correct
108 Correct 153 ms 32992 KB Output is correct
109 Correct 152 ms 32988 KB Output is correct
110 Correct 156 ms 32992 KB Output is correct
111 Correct 170 ms 32988 KB Output is correct
112 Correct 185 ms 32992 KB Output is correct
113 Correct 157 ms 32956 KB Output is correct
114 Correct 164 ms 32996 KB Output is correct
115 Correct 185 ms 32996 KB Output is correct
116 Execution timed out 7040 ms 32044 KB Time limit exceeded
117 Halted 0 ms 0 KB -