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Submission #813383

# Submission time Handle Problem Language Result Execution time Memory
813383 2023-08-07T16:38:43 Z enerelt14 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 33328 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() {
	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 17 ms 30760 KB Output is correct
2 Correct 16 ms 30764 KB Output is correct
3 Correct 12 ms 30804 KB Output is correct
4 Correct 15 ms 30728 KB Output is correct
5 Correct 16 ms 30752 KB Output is correct
6 Correct 13 ms 30804 KB Output is correct
7 Correct 16 ms 30840 KB Output is correct
8 Correct 16 ms 30748 KB Output is correct
9 Correct 13 ms 30804 KB Output is correct
10 Correct 16 ms 30764 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 30796 KB Output is correct
2 Correct 17 ms 30812 KB Output is correct
3 Correct 16 ms 30868 KB Output is correct
4 Correct 49 ms 31104 KB Output is correct
5 Correct 95 ms 31604 KB Output is correct
6 Correct 152 ms 31948 KB Output is correct
7 Correct 139 ms 31992 KB Output is correct
8 Correct 140 ms 31992 KB Output is correct
9 Correct 141 ms 31948 KB Output is correct
10 Correct 131 ms 31988 KB Output is correct
11 Correct 128 ms 31992 KB Output is correct
12 Correct 132 ms 31992 KB Output is correct
13 Correct 132 ms 31988 KB Output is correct
14 Correct 135 ms 32048 KB Output is correct
15 Correct 131 ms 31928 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 30796 KB Output is correct
2 Correct 17 ms 30812 KB Output is correct
3 Correct 16 ms 30868 KB Output is correct
4 Correct 49 ms 31104 KB Output is correct
5 Correct 95 ms 31604 KB Output is correct
6 Correct 152 ms 31948 KB Output is correct
7 Correct 139 ms 31992 KB Output is correct
8 Correct 140 ms 31992 KB Output is correct
9 Correct 141 ms 31948 KB Output is correct
10 Correct 131 ms 31988 KB Output is correct
11 Correct 128 ms 31992 KB Output is correct
12 Correct 132 ms 31992 KB Output is correct
13 Correct 132 ms 31988 KB Output is correct
14 Correct 135 ms 32048 KB Output is correct
15 Correct 131 ms 31928 KB Output is correct
16 Correct 13 ms 30804 KB Output is correct
17 Correct 13 ms 30744 KB Output is correct
18 Correct 16 ms 30868 KB Output is correct
19 Correct 50 ms 31212 KB Output is correct
20 Correct 92 ms 31564 KB Output is correct
21 Correct 143 ms 31988 KB Output is correct
22 Correct 146 ms 31888 KB Output is correct
23 Correct 134 ms 31976 KB Output is correct
24 Correct 134 ms 31872 KB Output is correct
25 Correct 137 ms 31900 KB Output is correct
26 Correct 141 ms 31992 KB Output is correct
27 Correct 134 ms 31916 KB Output is correct
28 Correct 135 ms 31988 KB Output is correct
29 Correct 134 ms 31944 KB Output is correct
30 Correct 142 ms 32004 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 30796 KB Output is correct
2 Correct 17 ms 30812 KB Output is correct
3 Correct 16 ms 30868 KB Output is correct
4 Correct 49 ms 31104 KB Output is correct
5 Correct 95 ms 31604 KB Output is correct
6 Correct 152 ms 31948 KB Output is correct
7 Correct 139 ms 31992 KB Output is correct
8 Correct 140 ms 31992 KB Output is correct
9 Correct 141 ms 31948 KB Output is correct
10 Correct 131 ms 31988 KB Output is correct
11 Correct 128 ms 31992 KB Output is correct
12 Correct 132 ms 31992 KB Output is correct
13 Correct 132 ms 31988 KB Output is correct
14 Correct 135 ms 32048 KB Output is correct
15 Correct 131 ms 31928 KB Output is correct
16 Correct 13 ms 30804 KB Output is correct
17 Correct 13 ms 30744 KB Output is correct
18 Correct 16 ms 30868 KB Output is correct
19 Correct 50 ms 31212 KB Output is correct
20 Correct 92 ms 31564 KB Output is correct
21 Correct 143 ms 31988 KB Output is correct
22 Correct 146 ms 31888 KB Output is correct
23 Correct 134 ms 31976 KB Output is correct
24 Correct 134 ms 31872 KB Output is correct
25 Correct 137 ms 31900 KB Output is correct
26 Correct 141 ms 31992 KB Output is correct
27 Correct 134 ms 31916 KB Output is correct
28 Correct 135 ms 31988 KB Output is correct
29 Correct 134 ms 31944 KB Output is correct
30 Correct 142 ms 32004 KB Output is correct
31 Correct 13 ms 30804 KB Output is correct
32 Correct 13 ms 30740 KB Output is correct
33 Correct 13 ms 30796 KB Output is correct
34 Correct 17 ms 30796 KB Output is correct
35 Correct 17 ms 30804 KB Output is correct
36 Correct 18 ms 30828 KB Output is correct
37 Correct 36 ms 30972 KB Output is correct
38 Correct 37 ms 30932 KB Output is correct
39 Correct 61 ms 31220 KB Output is correct
40 Correct 113 ms 31616 KB Output is correct
41 Correct 166 ms 31972 KB Output is correct
42 Correct 166 ms 31936 KB Output is correct
43 Correct 174 ms 32000 KB Output is correct
44 Correct 179 ms 31996 KB Output is correct
45 Correct 166 ms 31948 KB Output is correct
46 Correct 167 ms 31984 KB Output is correct
47 Correct 172 ms 32000 KB Output is correct
48 Correct 175 ms 31996 KB Output is correct
49 Correct 167 ms 31996 KB Output is correct
50 Correct 165 ms 31944 KB Output is correct
51 Correct 166 ms 31992 KB Output is correct
52 Correct 173 ms 31996 KB Output is correct
53 Correct 166 ms 31884 KB Output is correct
54 Correct 176 ms 32096 KB Output is correct
55 Correct 167 ms 31880 KB Output is correct
56 Correct 165 ms 31992 KB Output is correct
57 Correct 168 ms 31996 KB Output is correct
58 Correct 170 ms 31996 KB Output is correct
59 Correct 171 ms 31996 KB Output is correct
60 Correct 165 ms 31904 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 30760 KB Output is correct
2 Correct 16 ms 30764 KB Output is correct
3 Correct 12 ms 30804 KB Output is correct
4 Correct 15 ms 30728 KB Output is correct
5 Correct 16 ms 30752 KB Output is correct
6 Correct 13 ms 30804 KB Output is correct
7 Correct 16 ms 30840 KB Output is correct
8 Correct 16 ms 30748 KB Output is correct
9 Correct 13 ms 30804 KB Output is correct
10 Correct 16 ms 30764 KB Output is correct
11 Correct 17 ms 30796 KB Output is correct
12 Correct 17 ms 30812 KB Output is correct
13 Correct 16 ms 30868 KB Output is correct
14 Correct 49 ms 31104 KB Output is correct
15 Correct 95 ms 31604 KB Output is correct
16 Correct 152 ms 31948 KB Output is correct
17 Correct 139 ms 31992 KB Output is correct
18 Correct 140 ms 31992 KB Output is correct
19 Correct 141 ms 31948 KB Output is correct
20 Correct 131 ms 31988 KB Output is correct
21 Correct 128 ms 31992 KB Output is correct
22 Correct 132 ms 31992 KB Output is correct
23 Correct 132 ms 31988 KB Output is correct
24 Correct 135 ms 32048 KB Output is correct
25 Correct 131 ms 31928 KB Output is correct
26 Correct 13 ms 30804 KB Output is correct
27 Correct 13 ms 30744 KB Output is correct
28 Correct 16 ms 30868 KB Output is correct
29 Correct 50 ms 31212 KB Output is correct
30 Correct 92 ms 31564 KB Output is correct
31 Correct 143 ms 31988 KB Output is correct
32 Correct 146 ms 31888 KB Output is correct
33 Correct 134 ms 31976 KB Output is correct
34 Correct 134 ms 31872 KB Output is correct
35 Correct 137 ms 31900 KB Output is correct
36 Correct 141 ms 31992 KB Output is correct
37 Correct 134 ms 31916 KB Output is correct
38 Correct 135 ms 31988 KB Output is correct
39 Correct 134 ms 31944 KB Output is correct
40 Correct 142 ms 32004 KB Output is correct
41 Correct 13 ms 30804 KB Output is correct
42 Correct 13 ms 30740 KB Output is correct
43 Correct 13 ms 30796 KB Output is correct
44 Correct 17 ms 30796 KB Output is correct
45 Correct 17 ms 30804 KB Output is correct
46 Correct 18 ms 30828 KB Output is correct
47 Correct 36 ms 30972 KB Output is correct
48 Correct 37 ms 30932 KB Output is correct
49 Correct 61 ms 31220 KB Output is correct
50 Correct 113 ms 31616 KB Output is correct
51 Correct 166 ms 31972 KB Output is correct
52 Correct 166 ms 31936 KB Output is correct
53 Correct 174 ms 32000 KB Output is correct
54 Correct 179 ms 31996 KB Output is correct
55 Correct 166 ms 31948 KB Output is correct
56 Correct 167 ms 31984 KB Output is correct
57 Correct 172 ms 32000 KB Output is correct
58 Correct 175 ms 31996 KB Output is correct
59 Correct 167 ms 31996 KB Output is correct
60 Correct 165 ms 31944 KB Output is correct
61 Correct 166 ms 31992 KB Output is correct
62 Correct 173 ms 31996 KB Output is correct
63 Correct 166 ms 31884 KB Output is correct
64 Correct 176 ms 32096 KB Output is correct
65 Correct 167 ms 31880 KB Output is correct
66 Correct 165 ms 31992 KB Output is correct
67 Correct 168 ms 31996 KB Output is correct
68 Correct 170 ms 31996 KB Output is correct
69 Correct 171 ms 31996 KB Output is correct
70 Correct 165 ms 31904 KB Output is correct
71 Correct 43 ms 31024 KB Output is correct
72 Correct 43 ms 31028 KB Output is correct
73 Correct 42 ms 30924 KB Output is correct
74 Correct 42 ms 31008 KB Output is correct
75 Correct 42 ms 31024 KB Output is correct
76 Correct 71 ms 31236 KB Output is correct
77 Correct 69 ms 31232 KB Output is correct
78 Correct 69 ms 31236 KB Output is correct
79 Correct 68 ms 31188 KB Output is correct
80 Correct 70 ms 31192 KB Output is correct
81 Correct 127 ms 31640 KB Output is correct
82 Correct 132 ms 31648 KB Output is correct
83 Correct 132 ms 31644 KB Output is correct
84 Correct 124 ms 31648 KB Output is correct
85 Correct 153 ms 31796 KB Output is correct
86 Correct 132 ms 31844 KB Output is correct
87 Correct 128 ms 31940 KB Output is correct
88 Correct 128 ms 31940 KB Output is correct
89 Correct 131 ms 31856 KB Output is correct
90 Correct 140 ms 31936 KB Output is correct
91 Correct 206 ms 32640 KB Output is correct
92 Correct 203 ms 32616 KB Output is correct
93 Correct 197 ms 32592 KB Output is correct
94 Correct 205 ms 32588 KB Output is correct
95 Correct 196 ms 32640 KB Output is correct
96 Correct 200 ms 33032 KB Output is correct
97 Correct 267 ms 33032 KB Output is correct
98 Correct 195 ms 33020 KB Output is correct
99 Correct 195 ms 32932 KB Output is correct
100 Correct 201 ms 33036 KB Output is correct
101 Correct 287 ms 32920 KB Output is correct
102 Correct 195 ms 33028 KB Output is correct
103 Correct 206 ms 33044 KB Output is correct
104 Correct 193 ms 32968 KB Output is correct
105 Correct 198 ms 33036 KB Output is correct
106 Correct 196 ms 33328 KB Output is correct
107 Correct 198 ms 33172 KB Output is correct
108 Correct 193 ms 33180 KB Output is correct
109 Correct 194 ms 33168 KB Output is correct
110 Correct 193 ms 33224 KB Output is correct
111 Correct 191 ms 33224 KB Output is correct
112 Correct 192 ms 33228 KB Output is correct
113 Correct 196 ms 33228 KB Output is correct
114 Correct 193 ms 33224 KB Output is correct
115 Correct 192 ms 33220 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 30760 KB Output is correct
2 Correct 16 ms 30764 KB Output is correct
3 Correct 12 ms 30804 KB Output is correct
4 Correct 15 ms 30728 KB Output is correct
5 Correct 16 ms 30752 KB Output is correct
6 Correct 13 ms 30804 KB Output is correct
7 Correct 16 ms 30840 KB Output is correct
8 Correct 16 ms 30748 KB Output is correct
9 Correct 13 ms 30804 KB Output is correct
10 Correct 16 ms 30764 KB Output is correct
11 Correct 17 ms 30796 KB Output is correct
12 Correct 17 ms 30812 KB Output is correct
13 Correct 16 ms 30868 KB Output is correct
14 Correct 49 ms 31104 KB Output is correct
15 Correct 95 ms 31604 KB Output is correct
16 Correct 152 ms 31948 KB Output is correct
17 Correct 139 ms 31992 KB Output is correct
18 Correct 140 ms 31992 KB Output is correct
19 Correct 141 ms 31948 KB Output is correct
20 Correct 131 ms 31988 KB Output is correct
21 Correct 128 ms 31992 KB Output is correct
22 Correct 132 ms 31992 KB Output is correct
23 Correct 132 ms 31988 KB Output is correct
24 Correct 135 ms 32048 KB Output is correct
25 Correct 131 ms 31928 KB Output is correct
26 Correct 13 ms 30804 KB Output is correct
27 Correct 13 ms 30744 KB Output is correct
28 Correct 16 ms 30868 KB Output is correct
29 Correct 50 ms 31212 KB Output is correct
30 Correct 92 ms 31564 KB Output is correct
31 Correct 143 ms 31988 KB Output is correct
32 Correct 146 ms 31888 KB Output is correct
33 Correct 134 ms 31976 KB Output is correct
34 Correct 134 ms 31872 KB Output is correct
35 Correct 137 ms 31900 KB Output is correct
36 Correct 141 ms 31992 KB Output is correct
37 Correct 134 ms 31916 KB Output is correct
38 Correct 135 ms 31988 KB Output is correct
39 Correct 134 ms 31944 KB Output is correct
40 Correct 142 ms 32004 KB Output is correct
41 Correct 13 ms 30804 KB Output is correct
42 Correct 13 ms 30740 KB Output is correct
43 Correct 13 ms 30796 KB Output is correct
44 Correct 17 ms 30796 KB Output is correct
45 Correct 17 ms 30804 KB Output is correct
46 Correct 18 ms 30828 KB Output is correct
47 Correct 36 ms 30972 KB Output is correct
48 Correct 37 ms 30932 KB Output is correct
49 Correct 61 ms 31220 KB Output is correct
50 Correct 113 ms 31616 KB Output is correct
51 Correct 166 ms 31972 KB Output is correct
52 Correct 166 ms 31936 KB Output is correct
53 Correct 174 ms 32000 KB Output is correct
54 Correct 179 ms 31996 KB Output is correct
55 Correct 166 ms 31948 KB Output is correct
56 Correct 167 ms 31984 KB Output is correct
57 Correct 172 ms 32000 KB Output is correct
58 Correct 175 ms 31996 KB Output is correct
59 Correct 167 ms 31996 KB Output is correct
60 Correct 165 ms 31944 KB Output is correct
61 Correct 166 ms 31992 KB Output is correct
62 Correct 173 ms 31996 KB Output is correct
63 Correct 166 ms 31884 KB Output is correct
64 Correct 176 ms 32096 KB Output is correct
65 Correct 167 ms 31880 KB Output is correct
66 Correct 165 ms 31992 KB Output is correct
67 Correct 168 ms 31996 KB Output is correct
68 Correct 170 ms 31996 KB Output is correct
69 Correct 171 ms 31996 KB Output is correct
70 Correct 165 ms 31904 KB Output is correct
71 Correct 43 ms 31024 KB Output is correct
72 Correct 43 ms 31028 KB Output is correct
73 Correct 42 ms 30924 KB Output is correct
74 Correct 42 ms 31008 KB Output is correct
75 Correct 42 ms 31024 KB Output is correct
76 Correct 71 ms 31236 KB Output is correct
77 Correct 69 ms 31232 KB Output is correct
78 Correct 69 ms 31236 KB Output is correct
79 Correct 68 ms 31188 KB Output is correct
80 Correct 70 ms 31192 KB Output is correct
81 Correct 127 ms 31640 KB Output is correct
82 Correct 132 ms 31648 KB Output is correct
83 Correct 132 ms 31644 KB Output is correct
84 Correct 124 ms 31648 KB Output is correct
85 Correct 153 ms 31796 KB Output is correct
86 Correct 132 ms 31844 KB Output is correct
87 Correct 128 ms 31940 KB Output is correct
88 Correct 128 ms 31940 KB Output is correct
89 Correct 131 ms 31856 KB Output is correct
90 Correct 140 ms 31936 KB Output is correct
91 Correct 206 ms 32640 KB Output is correct
92 Correct 203 ms 32616 KB Output is correct
93 Correct 197 ms 32592 KB Output is correct
94 Correct 205 ms 32588 KB Output is correct
95 Correct 196 ms 32640 KB Output is correct
96 Correct 200 ms 33032 KB Output is correct
97 Correct 267 ms 33032 KB Output is correct
98 Correct 195 ms 33020 KB Output is correct
99 Correct 195 ms 32932 KB Output is correct
100 Correct 201 ms 33036 KB Output is correct
101 Correct 287 ms 32920 KB Output is correct
102 Correct 195 ms 33028 KB Output is correct
103 Correct 206 ms 33044 KB Output is correct
104 Correct 193 ms 32968 KB Output is correct
105 Correct 198 ms 33036 KB Output is correct
106 Correct 196 ms 33328 KB Output is correct
107 Correct 198 ms 33172 KB Output is correct
108 Correct 193 ms 33180 KB Output is correct
109 Correct 194 ms 33168 KB Output is correct
110 Correct 193 ms 33224 KB Output is correct
111 Correct 191 ms 33224 KB Output is correct
112 Correct 192 ms 33228 KB Output is correct
113 Correct 196 ms 33228 KB Output is correct
114 Correct 193 ms 33224 KB Output is correct
115 Correct 192 ms 33220 KB Output is correct
116 Correct 4594 ms 32672 KB Output is correct
117 Correct 4960 ms 32672 KB Output is correct
118 Correct 6451 ms 32876 KB Output is correct
119 Execution timed out 7045 ms 32332 KB Time limit exceeded
120 Halted 0 ms 0 KB -