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Submission #576867

# Submission time Handle Problem Language Result Execution time Memory
576867 2022-06-13T16:41:11 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 2492 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
#define ll int64_t

const int N = 3e5 + 5;
const int Q = 5e4 + 5;
const int B = 1150;
int a[N], l[Q], r[Q];
int cnt[N];
ll res[Q];

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, q; cin>>n>>q;
	vector<int> p;
	for(int i=0;i<n;i++){
		cin>>a[i];
	}
	for(int i=0;i<q;i++){
		cin>>l[i]>>r[i];
		l[i]--;
		p.push_back(i);
	}
	sort(p.begin(), p.end(), [&](int i, int j){
		if(l[i] / B != l[j] / B){
			return l[i] < l[j];
		} 
		return r[i] < r[j];
	});
	map<int, int> mm;
	auto add = [&](int i){
		if(cnt[a[i]]){
			mm[cnt[a[i]]]--;
			if(!mm[cnt[a[i]]]) mm.erase(cnt[a[i]]);
		} 
		cnt[a[i]]++;
		mm[cnt[a[i]]]++;
	};
	auto del = [&](int i){
		assert(cnt[a[i]]);
		mm[cnt[a[i]]]--;
		if(!mm[cnt[a[i]]]) mm.erase(cnt[a[i]]);
		cnt[a[i]]--;
		if(cnt[a[i]]) mm[cnt[a[i]]]++;
	};
	
	int lx = 0, rx = 0;
	for(auto i : p){
		while(rx > r[i]){ 
			del(--rx);
		}
		while(rx < r[i]){
			add(rx++);
		}
		while(lx > l[i]){
			add(--lx);
		}
		while(lx < l[i]){
			del(lx++);
		}
		
		int ls = 0, rs = 0;
		vector<ar<ll, 2>> L, R;
		for(auto [v, c] : mm){
			int b = (c + 1) / 2, s = c / 2;
			if(ls > rs) swap(b, s);
			if(b) L.push_back({v, b}), ls += b;
			if(s) R.push_back({v, s}), rs += s;
		}
		reverse(R.begin(), R.end());
		
		L.insert(L.end(), R.begin(), R.end());
		ll sum = 0, sumj = 0, p = 0;
		for(auto [v, c] : L){
			res[i] += v * (p * c + c * (c - 1) / 2) * sum;
			res[i] -= v * c * sumj;
			res[i] += (c * c * (c + 1) / 2 - c * (c + 1) * (2 * c + 1) / 6) * v * v;
			sumj += v * (p * c + c * (c - 1) / 2);
			p += c, sum += v * c;
		}
		
		res[i] += sum * (sum + 1) / 2;
	}
	
	for(int i=0;i<q;i++) cout<<res[i]<<"\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 15 ms 744 KB Output is correct
5 Correct 29 ms 1128 KB Output is correct
6 Correct 43 ms 1492 KB Output is correct
7 Correct 38 ms 1500 KB Output is correct
8 Correct 50 ms 1492 KB Output is correct
9 Correct 47 ms 1492 KB Output is correct
10 Correct 43 ms 1496 KB Output is correct
11 Correct 42 ms 1476 KB Output is correct
12 Correct 44 ms 1492 KB Output is correct
13 Correct 44 ms 1528 KB Output is correct
14 Correct 45 ms 1492 KB Output is correct
15 Correct 57 ms 1492 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 15 ms 744 KB Output is correct
5 Correct 29 ms 1128 KB Output is correct
6 Correct 43 ms 1492 KB Output is correct
7 Correct 38 ms 1500 KB Output is correct
8 Correct 50 ms 1492 KB Output is correct
9 Correct 47 ms 1492 KB Output is correct
10 Correct 43 ms 1496 KB Output is correct
11 Correct 42 ms 1476 KB Output is correct
12 Correct 44 ms 1492 KB Output is correct
13 Correct 44 ms 1528 KB Output is correct
14 Correct 45 ms 1492 KB Output is correct
15 Correct 57 ms 1492 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 19 ms 736 KB Output is correct
20 Correct 34 ms 1096 KB Output is correct
21 Correct 53 ms 1496 KB Output is correct
22 Correct 59 ms 1428 KB Output is correct
23 Correct 52 ms 1492 KB Output is correct
24 Correct 54 ms 1492 KB Output is correct
25 Correct 53 ms 1508 KB Output is correct
26 Correct 55 ms 1500 KB Output is correct
27 Correct 52 ms 1492 KB Output is correct
28 Correct 50 ms 1556 KB Output is correct
29 Correct 52 ms 1400 KB Output is correct
30 Correct 53 ms 1388 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 15 ms 744 KB Output is correct
5 Correct 29 ms 1128 KB Output is correct
6 Correct 43 ms 1492 KB Output is correct
7 Correct 38 ms 1500 KB Output is correct
8 Correct 50 ms 1492 KB Output is correct
9 Correct 47 ms 1492 KB Output is correct
10 Correct 43 ms 1496 KB Output is correct
11 Correct 42 ms 1476 KB Output is correct
12 Correct 44 ms 1492 KB Output is correct
13 Correct 44 ms 1528 KB Output is correct
14 Correct 45 ms 1492 KB Output is correct
15 Correct 57 ms 1492 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 19 ms 736 KB Output is correct
20 Correct 34 ms 1096 KB Output is correct
21 Correct 53 ms 1496 KB Output is correct
22 Correct 59 ms 1428 KB Output is correct
23 Correct 52 ms 1492 KB Output is correct
24 Correct 54 ms 1492 KB Output is correct
25 Correct 53 ms 1508 KB Output is correct
26 Correct 55 ms 1500 KB Output is correct
27 Correct 52 ms 1492 KB Output is correct
28 Correct 50 ms 1556 KB Output is correct
29 Correct 52 ms 1400 KB Output is correct
30 Correct 53 ms 1388 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 10 ms 544 KB Output is correct
38 Correct 7 ms 468 KB Output is correct
39 Correct 18 ms 724 KB Output is correct
40 Correct 42 ms 1108 KB Output is correct
41 Correct 68 ms 1612 KB Output is correct
42 Correct 69 ms 1504 KB Output is correct
43 Correct 68 ms 1528 KB Output is correct
44 Correct 68 ms 1644 KB Output is correct
45 Correct 78 ms 1640 KB Output is correct
46 Correct 77 ms 1524 KB Output is correct
47 Correct 69 ms 1508 KB Output is correct
48 Correct 68 ms 1528 KB Output is correct
49 Correct 82 ms 1528 KB Output is correct
50 Correct 73 ms 1460 KB Output is correct
51 Correct 67 ms 1484 KB Output is correct
52 Correct 67 ms 1528 KB Output is correct
53 Correct 73 ms 1504 KB Output is correct
54 Correct 68 ms 1512 KB Output is correct
55 Correct 69 ms 1544 KB Output is correct
56 Correct 79 ms 1528 KB Output is correct
57 Correct 68 ms 1524 KB Output is correct
58 Correct 69 ms 1528 KB Output is correct
59 Correct 69 ms 1512 KB Output is correct
60 Correct 71 ms 1524 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 15 ms 744 KB Output is correct
15 Correct 29 ms 1128 KB Output is correct
16 Correct 43 ms 1492 KB Output is correct
17 Correct 38 ms 1500 KB Output is correct
18 Correct 50 ms 1492 KB Output is correct
19 Correct 47 ms 1492 KB Output is correct
20 Correct 43 ms 1496 KB Output is correct
21 Correct 42 ms 1476 KB Output is correct
22 Correct 44 ms 1492 KB Output is correct
23 Correct 44 ms 1528 KB Output is correct
24 Correct 45 ms 1492 KB Output is correct
25 Correct 57 ms 1492 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 19 ms 736 KB Output is correct
30 Correct 34 ms 1096 KB Output is correct
31 Correct 53 ms 1496 KB Output is correct
32 Correct 59 ms 1428 KB Output is correct
33 Correct 52 ms 1492 KB Output is correct
34 Correct 54 ms 1492 KB Output is correct
35 Correct 53 ms 1508 KB Output is correct
36 Correct 55 ms 1500 KB Output is correct
37 Correct 52 ms 1492 KB Output is correct
38 Correct 50 ms 1556 KB Output is correct
39 Correct 52 ms 1400 KB Output is correct
40 Correct 53 ms 1388 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 2 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 10 ms 544 KB Output is correct
48 Correct 7 ms 468 KB Output is correct
49 Correct 18 ms 724 KB Output is correct
50 Correct 42 ms 1108 KB Output is correct
51 Correct 68 ms 1612 KB Output is correct
52 Correct 69 ms 1504 KB Output is correct
53 Correct 68 ms 1528 KB Output is correct
54 Correct 68 ms 1644 KB Output is correct
55 Correct 78 ms 1640 KB Output is correct
56 Correct 77 ms 1524 KB Output is correct
57 Correct 69 ms 1508 KB Output is correct
58 Correct 68 ms 1528 KB Output is correct
59 Correct 82 ms 1528 KB Output is correct
60 Correct 73 ms 1460 KB Output is correct
61 Correct 67 ms 1484 KB Output is correct
62 Correct 67 ms 1528 KB Output is correct
63 Correct 73 ms 1504 KB Output is correct
64 Correct 68 ms 1512 KB Output is correct
65 Correct 69 ms 1544 KB Output is correct
66 Correct 79 ms 1528 KB Output is correct
67 Correct 68 ms 1524 KB Output is correct
68 Correct 69 ms 1528 KB Output is correct
69 Correct 69 ms 1512 KB Output is correct
70 Correct 71 ms 1524 KB Output is correct
71 Correct 6 ms 468 KB Output is correct
72 Correct 6 ms 552 KB Output is correct
73 Correct 7 ms 596 KB Output is correct
74 Correct 8 ms 468 KB Output is correct
75 Correct 9 ms 540 KB Output is correct
76 Correct 15 ms 724 KB Output is correct
77 Correct 15 ms 756 KB Output is correct
78 Correct 12 ms 760 KB Output is correct
79 Correct 12 ms 724 KB Output is correct
80 Correct 13 ms 724 KB Output is correct
81 Correct 24 ms 1132 KB Output is correct
82 Correct 24 ms 1168 KB Output is correct
83 Correct 23 ms 1160 KB Output is correct
84 Correct 24 ms 1172 KB Output is correct
85 Correct 24 ms 1164 KB Output is correct
86 Correct 23 ms 1116 KB Output is correct
87 Correct 23 ms 1200 KB Output is correct
88 Correct 25 ms 1108 KB Output is correct
89 Correct 22 ms 1208 KB Output is correct
90 Correct 22 ms 1204 KB Output is correct
91 Correct 27 ms 1880 KB Output is correct
92 Correct 27 ms 1904 KB Output is correct
93 Correct 30 ms 1840 KB Output is correct
94 Correct 29 ms 1888 KB Output is correct
95 Correct 28 ms 1848 KB Output is correct
96 Correct 30 ms 2276 KB Output is correct
97 Correct 28 ms 2252 KB Output is correct
98 Correct 32 ms 2252 KB Output is correct
99 Correct 28 ms 2208 KB Output is correct
100 Correct 29 ms 2188 KB Output is correct
101 Correct 28 ms 2264 KB Output is correct
102 Correct 31 ms 2196 KB Output is correct
103 Correct 28 ms 2188 KB Output is correct
104 Correct 32 ms 2184 KB Output is correct
105 Correct 31 ms 2188 KB Output is correct
106 Correct 26 ms 2476 KB Output is correct
107 Correct 28 ms 2428 KB Output is correct
108 Correct 34 ms 2444 KB Output is correct
109 Correct 28 ms 2388 KB Output is correct
110 Correct 27 ms 2484 KB Output is correct
111 Correct 30 ms 2356 KB Output is correct
112 Correct 26 ms 2412 KB Output is correct
113 Correct 26 ms 2356 KB Output is correct
114 Correct 26 ms 2492 KB Output is correct
115 Correct 30 ms 2488 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 15 ms 744 KB Output is correct
15 Correct 29 ms 1128 KB Output is correct
16 Correct 43 ms 1492 KB Output is correct
17 Correct 38 ms 1500 KB Output is correct
18 Correct 50 ms 1492 KB Output is correct
19 Correct 47 ms 1492 KB Output is correct
20 Correct 43 ms 1496 KB Output is correct
21 Correct 42 ms 1476 KB Output is correct
22 Correct 44 ms 1492 KB Output is correct
23 Correct 44 ms 1528 KB Output is correct
24 Correct 45 ms 1492 KB Output is correct
25 Correct 57 ms 1492 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 19 ms 736 KB Output is correct
30 Correct 34 ms 1096 KB Output is correct
31 Correct 53 ms 1496 KB Output is correct
32 Correct 59 ms 1428 KB Output is correct
33 Correct 52 ms 1492 KB Output is correct
34 Correct 54 ms 1492 KB Output is correct
35 Correct 53 ms 1508 KB Output is correct
36 Correct 55 ms 1500 KB Output is correct
37 Correct 52 ms 1492 KB Output is correct
38 Correct 50 ms 1556 KB Output is correct
39 Correct 52 ms 1400 KB Output is correct
40 Correct 53 ms 1388 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 2 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 10 ms 544 KB Output is correct
48 Correct 7 ms 468 KB Output is correct
49 Correct 18 ms 724 KB Output is correct
50 Correct 42 ms 1108 KB Output is correct
51 Correct 68 ms 1612 KB Output is correct
52 Correct 69 ms 1504 KB Output is correct
53 Correct 68 ms 1528 KB Output is correct
54 Correct 68 ms 1644 KB Output is correct
55 Correct 78 ms 1640 KB Output is correct
56 Correct 77 ms 1524 KB Output is correct
57 Correct 69 ms 1508 KB Output is correct
58 Correct 68 ms 1528 KB Output is correct
59 Correct 82 ms 1528 KB Output is correct
60 Correct 73 ms 1460 KB Output is correct
61 Correct 67 ms 1484 KB Output is correct
62 Correct 67 ms 1528 KB Output is correct
63 Correct 73 ms 1504 KB Output is correct
64 Correct 68 ms 1512 KB Output is correct
65 Correct 69 ms 1544 KB Output is correct
66 Correct 79 ms 1528 KB Output is correct
67 Correct 68 ms 1524 KB Output is correct
68 Correct 69 ms 1528 KB Output is correct
69 Correct 69 ms 1512 KB Output is correct
70 Correct 71 ms 1524 KB Output is correct
71 Correct 6 ms 468 KB Output is correct
72 Correct 6 ms 552 KB Output is correct
73 Correct 7 ms 596 KB Output is correct
74 Correct 8 ms 468 KB Output is correct
75 Correct 9 ms 540 KB Output is correct
76 Correct 15 ms 724 KB Output is correct
77 Correct 15 ms 756 KB Output is correct
78 Correct 12 ms 760 KB Output is correct
79 Correct 12 ms 724 KB Output is correct
80 Correct 13 ms 724 KB Output is correct
81 Correct 24 ms 1132 KB Output is correct
82 Correct 24 ms 1168 KB Output is correct
83 Correct 23 ms 1160 KB Output is correct
84 Correct 24 ms 1172 KB Output is correct
85 Correct 24 ms 1164 KB Output is correct
86 Correct 23 ms 1116 KB Output is correct
87 Correct 23 ms 1200 KB Output is correct
88 Correct 25 ms 1108 KB Output is correct
89 Correct 22 ms 1208 KB Output is correct
90 Correct 22 ms 1204 KB Output is correct
91 Correct 27 ms 1880 KB Output is correct
92 Correct 27 ms 1904 KB Output is correct
93 Correct 30 ms 1840 KB Output is correct
94 Correct 29 ms 1888 KB Output is correct
95 Correct 28 ms 1848 KB Output is correct
96 Correct 30 ms 2276 KB Output is correct
97 Correct 28 ms 2252 KB Output is correct
98 Correct 32 ms 2252 KB Output is correct
99 Correct 28 ms 2208 KB Output is correct
100 Correct 29 ms 2188 KB Output is correct
101 Correct 28 ms 2264 KB Output is correct
102 Correct 31 ms 2196 KB Output is correct
103 Correct 28 ms 2188 KB Output is correct
104 Correct 32 ms 2184 KB Output is correct
105 Correct 31 ms 2188 KB Output is correct
106 Correct 26 ms 2476 KB Output is correct
107 Correct 28 ms 2428 KB Output is correct
108 Correct 34 ms 2444 KB Output is correct
109 Correct 28 ms 2388 KB Output is correct
110 Correct 27 ms 2484 KB Output is correct
111 Correct 30 ms 2356 KB Output is correct
112 Correct 26 ms 2412 KB Output is correct
113 Correct 26 ms 2356 KB Output is correct
114 Correct 26 ms 2492 KB Output is correct
115 Correct 30 ms 2488 KB Output is correct
116 Correct 2848 ms 1856 KB Output is correct
117 Correct 2566 ms 1864 KB Output is correct
118 Correct 4051 ms 2144 KB Output is correct
119 Correct 2709 ms 2144 KB Output is correct
120 Correct 1839 ms 2148 KB Output is correct
121 Correct 3385 ms 2348 KB Output is correct
122 Correct 2393 ms 2348 KB Output is correct
123 Execution timed out 7048 ms 2208 KB Time limit exceeded
124 Halted 0 ms 0 KB -