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Submission #576859

# Submission time Handle Problem Language Result Execution time Memory
576859 2022-06-13T16:34:19 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 4612 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
#define int int64_t

const int N = 3e5 + 5;
const int Q = 5e4 + 5;
const int B = 550;
int a[N], l[Q], r[Q];
int cnt[N], 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;
		deque<ar<int, 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_front({v, s}), rs += s;
		}
		
		L.insert(L.end(), R.begin(), R.end());
		int 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 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 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 0 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 14 ms 1136 KB Output is correct
5 Correct 27 ms 1908 KB Output is correct
6 Correct 46 ms 2676 KB Output is correct
7 Correct 43 ms 2644 KB Output is correct
8 Correct 45 ms 2644 KB Output is correct
9 Correct 46 ms 2668 KB Output is correct
10 Correct 42 ms 2672 KB Output is correct
11 Correct 49 ms 2644 KB Output is correct
12 Correct 46 ms 2644 KB Output is correct
13 Correct 45 ms 2668 KB Output is correct
14 Correct 44 ms 2676 KB Output is correct
15 Correct 43 ms 2644 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 14 ms 1136 KB Output is correct
5 Correct 27 ms 1908 KB Output is correct
6 Correct 46 ms 2676 KB Output is correct
7 Correct 43 ms 2644 KB Output is correct
8 Correct 45 ms 2644 KB Output is correct
9 Correct 46 ms 2668 KB Output is correct
10 Correct 42 ms 2672 KB Output is correct
11 Correct 49 ms 2644 KB Output is correct
12 Correct 46 ms 2644 KB Output is correct
13 Correct 45 ms 2668 KB Output is correct
14 Correct 44 ms 2676 KB Output is correct
15 Correct 43 ms 2644 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 17 ms 1128 KB Output is correct
20 Correct 35 ms 1784 KB Output is correct
21 Correct 55 ms 2684 KB Output is correct
22 Correct 61 ms 2672 KB Output is correct
23 Correct 54 ms 2644 KB Output is correct
24 Correct 52 ms 2672 KB Output is correct
25 Correct 52 ms 2672 KB Output is correct
26 Correct 55 ms 2676 KB Output is correct
27 Correct 51 ms 2644 KB Output is correct
28 Correct 51 ms 2644 KB Output is correct
29 Correct 64 ms 2672 KB Output is correct
30 Correct 54 ms 2672 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 14 ms 1136 KB Output is correct
5 Correct 27 ms 1908 KB Output is correct
6 Correct 46 ms 2676 KB Output is correct
7 Correct 43 ms 2644 KB Output is correct
8 Correct 45 ms 2644 KB Output is correct
9 Correct 46 ms 2668 KB Output is correct
10 Correct 42 ms 2672 KB Output is correct
11 Correct 49 ms 2644 KB Output is correct
12 Correct 46 ms 2644 KB Output is correct
13 Correct 45 ms 2668 KB Output is correct
14 Correct 44 ms 2676 KB Output is correct
15 Correct 43 ms 2644 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 17 ms 1128 KB Output is correct
20 Correct 35 ms 1784 KB Output is correct
21 Correct 55 ms 2684 KB Output is correct
22 Correct 61 ms 2672 KB Output is correct
23 Correct 54 ms 2644 KB Output is correct
24 Correct 52 ms 2672 KB Output is correct
25 Correct 52 ms 2672 KB Output is correct
26 Correct 55 ms 2676 KB Output is correct
27 Correct 51 ms 2644 KB Output is correct
28 Correct 51 ms 2644 KB Output is correct
29 Correct 64 ms 2672 KB Output is correct
30 Correct 54 ms 2672 KB Output is correct
31 Correct 1 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 12 ms 756 KB Output is correct
38 Correct 7 ms 724 KB Output is correct
39 Correct 19 ms 1156 KB Output is correct
40 Correct 40 ms 1900 KB Output is correct
41 Correct 67 ms 2752 KB Output is correct
42 Correct 83 ms 2692 KB Output is correct
43 Correct 66 ms 2704 KB Output is correct
44 Correct 66 ms 2700 KB Output is correct
45 Correct 72 ms 2724 KB Output is correct
46 Correct 80 ms 2692 KB Output is correct
47 Correct 67 ms 2672 KB Output is correct
48 Correct 65 ms 2636 KB Output is correct
49 Correct 75 ms 2696 KB Output is correct
50 Correct 68 ms 2708 KB Output is correct
51 Correct 69 ms 2712 KB Output is correct
52 Correct 68 ms 2716 KB Output is correct
53 Correct 71 ms 2704 KB Output is correct
54 Correct 80 ms 2704 KB Output is correct
55 Correct 71 ms 2704 KB Output is correct
56 Correct 68 ms 2708 KB Output is correct
57 Correct 66 ms 2712 KB Output is correct
58 Correct 66 ms 2640 KB Output is correct
59 Correct 74 ms 2956 KB Output is correct
60 Correct 69 ms 2696 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 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 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 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 14 ms 1136 KB Output is correct
15 Correct 27 ms 1908 KB Output is correct
16 Correct 46 ms 2676 KB Output is correct
17 Correct 43 ms 2644 KB Output is correct
18 Correct 45 ms 2644 KB Output is correct
19 Correct 46 ms 2668 KB Output is correct
20 Correct 42 ms 2672 KB Output is correct
21 Correct 49 ms 2644 KB Output is correct
22 Correct 46 ms 2644 KB Output is correct
23 Correct 45 ms 2668 KB Output is correct
24 Correct 44 ms 2676 KB Output is correct
25 Correct 43 ms 2644 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 17 ms 1128 KB Output is correct
30 Correct 35 ms 1784 KB Output is correct
31 Correct 55 ms 2684 KB Output is correct
32 Correct 61 ms 2672 KB Output is correct
33 Correct 54 ms 2644 KB Output is correct
34 Correct 52 ms 2672 KB Output is correct
35 Correct 52 ms 2672 KB Output is correct
36 Correct 55 ms 2676 KB Output is correct
37 Correct 51 ms 2644 KB Output is correct
38 Correct 51 ms 2644 KB Output is correct
39 Correct 64 ms 2672 KB Output is correct
40 Correct 54 ms 2672 KB Output is correct
41 Correct 1 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 12 ms 756 KB Output is correct
48 Correct 7 ms 724 KB Output is correct
49 Correct 19 ms 1156 KB Output is correct
50 Correct 40 ms 1900 KB Output is correct
51 Correct 67 ms 2752 KB Output is correct
52 Correct 83 ms 2692 KB Output is correct
53 Correct 66 ms 2704 KB Output is correct
54 Correct 66 ms 2700 KB Output is correct
55 Correct 72 ms 2724 KB Output is correct
56 Correct 80 ms 2692 KB Output is correct
57 Correct 67 ms 2672 KB Output is correct
58 Correct 65 ms 2636 KB Output is correct
59 Correct 75 ms 2696 KB Output is correct
60 Correct 68 ms 2708 KB Output is correct
61 Correct 69 ms 2712 KB Output is correct
62 Correct 68 ms 2716 KB Output is correct
63 Correct 71 ms 2704 KB Output is correct
64 Correct 80 ms 2704 KB Output is correct
65 Correct 71 ms 2704 KB Output is correct
66 Correct 68 ms 2708 KB Output is correct
67 Correct 66 ms 2712 KB Output is correct
68 Correct 66 ms 2640 KB Output is correct
69 Correct 74 ms 2956 KB Output is correct
70 Correct 69 ms 2696 KB Output is correct
71 Correct 6 ms 724 KB Output is correct
72 Correct 9 ms 724 KB Output is correct
73 Correct 7 ms 724 KB Output is correct
74 Correct 7 ms 756 KB Output is correct
75 Correct 8 ms 724 KB Output is correct
76 Correct 13 ms 1156 KB Output is correct
77 Correct 14 ms 1180 KB Output is correct
78 Correct 13 ms 1364 KB Output is correct
79 Correct 12 ms 1108 KB Output is correct
80 Correct 12 ms 1108 KB Output is correct
81 Correct 23 ms 1876 KB Output is correct
82 Correct 33 ms 1936 KB Output is correct
83 Correct 30 ms 1996 KB Output is correct
84 Correct 24 ms 2000 KB Output is correct
85 Correct 29 ms 1976 KB Output is correct
86 Correct 26 ms 2004 KB Output is correct
87 Correct 26 ms 1960 KB Output is correct
88 Correct 22 ms 2004 KB Output is correct
89 Correct 22 ms 2024 KB Output is correct
90 Correct 22 ms 2072 KB Output is correct
91 Correct 35 ms 3408 KB Output is correct
92 Correct 29 ms 3364 KB Output is correct
93 Correct 30 ms 3412 KB Output is correct
94 Correct 31 ms 3412 KB Output is correct
95 Correct 29 ms 3332 KB Output is correct
96 Correct 28 ms 4156 KB Output is correct
97 Correct 30 ms 4212 KB Output is correct
98 Correct 29 ms 4144 KB Output is correct
99 Correct 28 ms 4220 KB Output is correct
100 Correct 29 ms 4180 KB Output is correct
101 Correct 28 ms 4180 KB Output is correct
102 Correct 30 ms 4228 KB Output is correct
103 Correct 31 ms 4180 KB Output is correct
104 Correct 38 ms 4120 KB Output is correct
105 Correct 29 ms 4252 KB Output is correct
106 Correct 27 ms 4548 KB Output is correct
107 Correct 28 ms 4564 KB Output is correct
108 Correct 27 ms 4576 KB Output is correct
109 Correct 27 ms 4544 KB Output is correct
110 Correct 26 ms 4612 KB Output is correct
111 Correct 27 ms 4532 KB Output is correct
112 Correct 28 ms 4540 KB Output is correct
113 Correct 32 ms 4560 KB Output is correct
114 Correct 29 ms 4564 KB Output is correct
115 Correct 30 ms 4584 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 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 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 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 14 ms 1136 KB Output is correct
15 Correct 27 ms 1908 KB Output is correct
16 Correct 46 ms 2676 KB Output is correct
17 Correct 43 ms 2644 KB Output is correct
18 Correct 45 ms 2644 KB Output is correct
19 Correct 46 ms 2668 KB Output is correct
20 Correct 42 ms 2672 KB Output is correct
21 Correct 49 ms 2644 KB Output is correct
22 Correct 46 ms 2644 KB Output is correct
23 Correct 45 ms 2668 KB Output is correct
24 Correct 44 ms 2676 KB Output is correct
25 Correct 43 ms 2644 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 17 ms 1128 KB Output is correct
30 Correct 35 ms 1784 KB Output is correct
31 Correct 55 ms 2684 KB Output is correct
32 Correct 61 ms 2672 KB Output is correct
33 Correct 54 ms 2644 KB Output is correct
34 Correct 52 ms 2672 KB Output is correct
35 Correct 52 ms 2672 KB Output is correct
36 Correct 55 ms 2676 KB Output is correct
37 Correct 51 ms 2644 KB Output is correct
38 Correct 51 ms 2644 KB Output is correct
39 Correct 64 ms 2672 KB Output is correct
40 Correct 54 ms 2672 KB Output is correct
41 Correct 1 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 12 ms 756 KB Output is correct
48 Correct 7 ms 724 KB Output is correct
49 Correct 19 ms 1156 KB Output is correct
50 Correct 40 ms 1900 KB Output is correct
51 Correct 67 ms 2752 KB Output is correct
52 Correct 83 ms 2692 KB Output is correct
53 Correct 66 ms 2704 KB Output is correct
54 Correct 66 ms 2700 KB Output is correct
55 Correct 72 ms 2724 KB Output is correct
56 Correct 80 ms 2692 KB Output is correct
57 Correct 67 ms 2672 KB Output is correct
58 Correct 65 ms 2636 KB Output is correct
59 Correct 75 ms 2696 KB Output is correct
60 Correct 68 ms 2708 KB Output is correct
61 Correct 69 ms 2712 KB Output is correct
62 Correct 68 ms 2716 KB Output is correct
63 Correct 71 ms 2704 KB Output is correct
64 Correct 80 ms 2704 KB Output is correct
65 Correct 71 ms 2704 KB Output is correct
66 Correct 68 ms 2708 KB Output is correct
67 Correct 66 ms 2712 KB Output is correct
68 Correct 66 ms 2640 KB Output is correct
69 Correct 74 ms 2956 KB Output is correct
70 Correct 69 ms 2696 KB Output is correct
71 Correct 6 ms 724 KB Output is correct
72 Correct 9 ms 724 KB Output is correct
73 Correct 7 ms 724 KB Output is correct
74 Correct 7 ms 756 KB Output is correct
75 Correct 8 ms 724 KB Output is correct
76 Correct 13 ms 1156 KB Output is correct
77 Correct 14 ms 1180 KB Output is correct
78 Correct 13 ms 1364 KB Output is correct
79 Correct 12 ms 1108 KB Output is correct
80 Correct 12 ms 1108 KB Output is correct
81 Correct 23 ms 1876 KB Output is correct
82 Correct 33 ms 1936 KB Output is correct
83 Correct 30 ms 1996 KB Output is correct
84 Correct 24 ms 2000 KB Output is correct
85 Correct 29 ms 1976 KB Output is correct
86 Correct 26 ms 2004 KB Output is correct
87 Correct 26 ms 1960 KB Output is correct
88 Correct 22 ms 2004 KB Output is correct
89 Correct 22 ms 2024 KB Output is correct
90 Correct 22 ms 2072 KB Output is correct
91 Correct 35 ms 3408 KB Output is correct
92 Correct 29 ms 3364 KB Output is correct
93 Correct 30 ms 3412 KB Output is correct
94 Correct 31 ms 3412 KB Output is correct
95 Correct 29 ms 3332 KB Output is correct
96 Correct 28 ms 4156 KB Output is correct
97 Correct 30 ms 4212 KB Output is correct
98 Correct 29 ms 4144 KB Output is correct
99 Correct 28 ms 4220 KB Output is correct
100 Correct 29 ms 4180 KB Output is correct
101 Correct 28 ms 4180 KB Output is correct
102 Correct 30 ms 4228 KB Output is correct
103 Correct 31 ms 4180 KB Output is correct
104 Correct 38 ms 4120 KB Output is correct
105 Correct 29 ms 4252 KB Output is correct
106 Correct 27 ms 4548 KB Output is correct
107 Correct 28 ms 4564 KB Output is correct
108 Correct 27 ms 4576 KB Output is correct
109 Correct 27 ms 4544 KB Output is correct
110 Correct 26 ms 4612 KB Output is correct
111 Correct 27 ms 4532 KB Output is correct
112 Correct 28 ms 4540 KB Output is correct
113 Correct 32 ms 4560 KB Output is correct
114 Correct 29 ms 4564 KB Output is correct
115 Correct 30 ms 4584 KB Output is correct
116 Correct 1378 ms 2496 KB Output is correct
117 Correct 1270 ms 2488 KB Output is correct
118 Correct 2528 ms 2932 KB Output is correct
119 Correct 1711 ms 2936 KB Output is correct
120 Correct 1152 ms 2932 KB Output is correct
121 Correct 3049 ms 3452 KB Output is correct
122 Correct 2154 ms 3332 KB Output is correct
123 Execution timed out 7068 ms 3512 KB Time limit exceeded
124 Halted 0 ms 0 KB -