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Submission #576868

# Submission time Handle Problem Language Result Execution time Memory
576868 2022-06-13T16:44:29 Z amunduzbaev Diversity (CEOI21_diversity) C++17
38 / 100
 76 ms 4556 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], dp[N];

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=1;i<N;i++){
		dp[i] = dp[i-1] + (i * (i - 1) / 2);
	}
	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){
			ll C = p * c + c * (c - 1) / 2;
			res[i] = res[i] + v * C * sum - v * c * sumj;
			res[i] += dp[c] * v * v;
			sumj += v * C;
			sum += v * c;
			p += 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 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 3 ms 2584 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 4 ms 2644 KB Output is correct
4 Correct 16 ms 3092 KB Output is correct
5 Correct 28 ms 3412 KB Output is correct
6 Correct 45 ms 3768 KB Output is correct
7 Correct 39 ms 3844 KB Output is correct
8 Correct 45 ms 3796 KB Output is correct
9 Correct 46 ms 3848 KB Output is correct
10 Correct 44 ms 3840 KB Output is correct
11 Correct 45 ms 3824 KB Output is correct
12 Correct 49 ms 3796 KB Output is correct
13 Correct 55 ms 3840 KB Output is correct
14 Correct 44 ms 3796 KB Output is correct
15 Correct 46 ms 3836 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 4 ms 2644 KB Output is correct
4 Correct 16 ms 3092 KB Output is correct
5 Correct 28 ms 3412 KB Output is correct
6 Correct 45 ms 3768 KB Output is correct
7 Correct 39 ms 3844 KB Output is correct
8 Correct 45 ms 3796 KB Output is correct
9 Correct 46 ms 3848 KB Output is correct
10 Correct 44 ms 3840 KB Output is correct
11 Correct 45 ms 3824 KB Output is correct
12 Correct 49 ms 3796 KB Output is correct
13 Correct 55 ms 3840 KB Output is correct
14 Correct 44 ms 3796 KB Output is correct
15 Correct 46 ms 3836 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 3 ms 2644 KB Output is correct
19 Correct 24 ms 3072 KB Output is correct
20 Correct 41 ms 3356 KB Output is correct
21 Correct 54 ms 3844 KB Output is correct
22 Correct 67 ms 3728 KB Output is correct
23 Correct 54 ms 3848 KB Output is correct
24 Correct 57 ms 3848 KB Output is correct
25 Correct 61 ms 3848 KB Output is correct
26 Correct 56 ms 3848 KB Output is correct
27 Correct 54 ms 3796 KB Output is correct
28 Correct 55 ms 3852 KB Output is correct
29 Correct 54 ms 3796 KB Output is correct
30 Correct 54 ms 3848 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 4 ms 2644 KB Output is correct
4 Correct 16 ms 3092 KB Output is correct
5 Correct 28 ms 3412 KB Output is correct
6 Correct 45 ms 3768 KB Output is correct
7 Correct 39 ms 3844 KB Output is correct
8 Correct 45 ms 3796 KB Output is correct
9 Correct 46 ms 3848 KB Output is correct
10 Correct 44 ms 3840 KB Output is correct
11 Correct 45 ms 3824 KB Output is correct
12 Correct 49 ms 3796 KB Output is correct
13 Correct 55 ms 3840 KB Output is correct
14 Correct 44 ms 3796 KB Output is correct
15 Correct 46 ms 3836 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 3 ms 2644 KB Output is correct
19 Correct 24 ms 3072 KB Output is correct
20 Correct 41 ms 3356 KB Output is correct
21 Correct 54 ms 3844 KB Output is correct
22 Correct 67 ms 3728 KB Output is correct
23 Correct 54 ms 3848 KB Output is correct
24 Correct 57 ms 3848 KB Output is correct
25 Correct 61 ms 3848 KB Output is correct
26 Correct 56 ms 3848 KB Output is correct
27 Correct 54 ms 3796 KB Output is correct
28 Correct 55 ms 3852 KB Output is correct
29 Correct 54 ms 3796 KB Output is correct
30 Correct 54 ms 3848 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 6 ms 2644 KB Output is correct
35 Correct 4 ms 2644 KB Output is correct
36 Correct 4 ms 2676 KB Output is correct
37 Correct 11 ms 2892 KB Output is correct
38 Correct 9 ms 2900 KB Output is correct
39 Correct 19 ms 3100 KB Output is correct
40 Correct 43 ms 3608 KB Output is correct
41 Correct 71 ms 3796 KB Output is correct
42 Correct 71 ms 3888 KB Output is correct
43 Correct 70 ms 3880 KB Output is correct
44 Correct 68 ms 3916 KB Output is correct
45 Correct 68 ms 3876 KB Output is correct
46 Correct 68 ms 3872 KB Output is correct
47 Correct 70 ms 3872 KB Output is correct
48 Correct 68 ms 3856 KB Output is correct
49 Correct 68 ms 3872 KB Output is correct
50 Correct 73 ms 3868 KB Output is correct
51 Correct 75 ms 3868 KB Output is correct
52 Correct 72 ms 3868 KB Output is correct
53 Correct 69 ms 3992 KB Output is correct
54 Correct 68 ms 3872 KB Output is correct
55 Correct 72 ms 3916 KB Output is correct
56 Correct 76 ms 3848 KB Output is correct
57 Correct 71 ms 3856 KB Output is correct
58 Correct 69 ms 3916 KB Output is correct
59 Correct 71 ms 3996 KB Output is correct
60 Correct 69 ms 3868 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 3 ms 2584 KB Output is correct
11 Correct 3 ms 2644 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 4 ms 2644 KB Output is correct
14 Correct 16 ms 3092 KB Output is correct
15 Correct 28 ms 3412 KB Output is correct
16 Correct 45 ms 3768 KB Output is correct
17 Correct 39 ms 3844 KB Output is correct
18 Correct 45 ms 3796 KB Output is correct
19 Correct 46 ms 3848 KB Output is correct
20 Correct 44 ms 3840 KB Output is correct
21 Correct 45 ms 3824 KB Output is correct
22 Correct 49 ms 3796 KB Output is correct
23 Correct 55 ms 3840 KB Output is correct
24 Correct 44 ms 3796 KB Output is correct
25 Correct 46 ms 3836 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 3 ms 2644 KB Output is correct
29 Correct 24 ms 3072 KB Output is correct
30 Correct 41 ms 3356 KB Output is correct
31 Correct 54 ms 3844 KB Output is correct
32 Correct 67 ms 3728 KB Output is correct
33 Correct 54 ms 3848 KB Output is correct
34 Correct 57 ms 3848 KB Output is correct
35 Correct 61 ms 3848 KB Output is correct
36 Correct 56 ms 3848 KB Output is correct
37 Correct 54 ms 3796 KB Output is correct
38 Correct 55 ms 3852 KB Output is correct
39 Correct 54 ms 3796 KB Output is correct
40 Correct 54 ms 3848 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 6 ms 2644 KB Output is correct
45 Correct 4 ms 2644 KB Output is correct
46 Correct 4 ms 2676 KB Output is correct
47 Correct 11 ms 2892 KB Output is correct
48 Correct 9 ms 2900 KB Output is correct
49 Correct 19 ms 3100 KB Output is correct
50 Correct 43 ms 3608 KB Output is correct
51 Correct 71 ms 3796 KB Output is correct
52 Correct 71 ms 3888 KB Output is correct
53 Correct 70 ms 3880 KB Output is correct
54 Correct 68 ms 3916 KB Output is correct
55 Correct 68 ms 3876 KB Output is correct
56 Correct 68 ms 3872 KB Output is correct
57 Correct 70 ms 3872 KB Output is correct
58 Correct 68 ms 3856 KB Output is correct
59 Correct 68 ms 3872 KB Output is correct
60 Correct 73 ms 3868 KB Output is correct
61 Correct 75 ms 3868 KB Output is correct
62 Correct 72 ms 3868 KB Output is correct
63 Correct 69 ms 3992 KB Output is correct
64 Correct 68 ms 3872 KB Output is correct
65 Correct 72 ms 3916 KB Output is correct
66 Correct 76 ms 3848 KB Output is correct
67 Correct 71 ms 3856 KB Output is correct
68 Correct 69 ms 3916 KB Output is correct
69 Correct 71 ms 3996 KB Output is correct
70 Correct 69 ms 3868 KB Output is correct
71 Correct 9 ms 2900 KB Output is correct
72 Correct 12 ms 2908 KB Output is correct
73 Correct 11 ms 2852 KB Output is correct
74 Correct 8 ms 2900 KB Output is correct
75 Correct 9 ms 2900 KB Output is correct
76 Correct 15 ms 3112 KB Output is correct
77 Correct 14 ms 3028 KB Output is correct
78 Correct 14 ms 3028 KB Output is correct
79 Correct 14 ms 3028 KB Output is correct
80 Correct 13 ms 3028 KB Output is correct
81 Correct 27 ms 3500 KB Output is correct
82 Correct 26 ms 3456 KB Output is correct
83 Correct 26 ms 3456 KB Output is correct
84 Correct 25 ms 3412 KB Output is correct
85 Correct 25 ms 3412 KB Output is correct
86 Correct 23 ms 3540 KB Output is correct
87 Correct 23 ms 3540 KB Output is correct
88 Correct 23 ms 3560 KB Output is correct
89 Correct 23 ms 3560 KB Output is correct
90 Correct 25 ms 3468 KB Output is correct
91 Correct 32 ms 4124 KB Output is correct
92 Correct 30 ms 4236 KB Output is correct
93 Correct 30 ms 4236 KB Output is correct
94 Correct 30 ms 4232 KB Output is correct
95 Correct 32 ms 4236 KB Output is correct
96 Incorrect 30 ms 4556 KB Output isn't correct
97 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 3 ms 2584 KB Output is correct
11 Correct 3 ms 2644 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 4 ms 2644 KB Output is correct
14 Correct 16 ms 3092 KB Output is correct
15 Correct 28 ms 3412 KB Output is correct
16 Correct 45 ms 3768 KB Output is correct
17 Correct 39 ms 3844 KB Output is correct
18 Correct 45 ms 3796 KB Output is correct
19 Correct 46 ms 3848 KB Output is correct
20 Correct 44 ms 3840 KB Output is correct
21 Correct 45 ms 3824 KB Output is correct
22 Correct 49 ms 3796 KB Output is correct
23 Correct 55 ms 3840 KB Output is correct
24 Correct 44 ms 3796 KB Output is correct
25 Correct 46 ms 3836 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 3 ms 2644 KB Output is correct
29 Correct 24 ms 3072 KB Output is correct
30 Correct 41 ms 3356 KB Output is correct
31 Correct 54 ms 3844 KB Output is correct
32 Correct 67 ms 3728 KB Output is correct
33 Correct 54 ms 3848 KB Output is correct
34 Correct 57 ms 3848 KB Output is correct
35 Correct 61 ms 3848 KB Output is correct
36 Correct 56 ms 3848 KB Output is correct
37 Correct 54 ms 3796 KB Output is correct
38 Correct 55 ms 3852 KB Output is correct
39 Correct 54 ms 3796 KB Output is correct
40 Correct 54 ms 3848 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 6 ms 2644 KB Output is correct
45 Correct 4 ms 2644 KB Output is correct
46 Correct 4 ms 2676 KB Output is correct
47 Correct 11 ms 2892 KB Output is correct
48 Correct 9 ms 2900 KB Output is correct
49 Correct 19 ms 3100 KB Output is correct
50 Correct 43 ms 3608 KB Output is correct
51 Correct 71 ms 3796 KB Output is correct
52 Correct 71 ms 3888 KB Output is correct
53 Correct 70 ms 3880 KB Output is correct
54 Correct 68 ms 3916 KB Output is correct
55 Correct 68 ms 3876 KB Output is correct
56 Correct 68 ms 3872 KB Output is correct
57 Correct 70 ms 3872 KB Output is correct
58 Correct 68 ms 3856 KB Output is correct
59 Correct 68 ms 3872 KB Output is correct
60 Correct 73 ms 3868 KB Output is correct
61 Correct 75 ms 3868 KB Output is correct
62 Correct 72 ms 3868 KB Output is correct
63 Correct 69 ms 3992 KB Output is correct
64 Correct 68 ms 3872 KB Output is correct
65 Correct 72 ms 3916 KB Output is correct
66 Correct 76 ms 3848 KB Output is correct
67 Correct 71 ms 3856 KB Output is correct
68 Correct 69 ms 3916 KB Output is correct
69 Correct 71 ms 3996 KB Output is correct
70 Correct 69 ms 3868 KB Output is correct
71 Correct 9 ms 2900 KB Output is correct
72 Correct 12 ms 2908 KB Output is correct
73 Correct 11 ms 2852 KB Output is correct
74 Correct 8 ms 2900 KB Output is correct
75 Correct 9 ms 2900 KB Output is correct
76 Correct 15 ms 3112 KB Output is correct
77 Correct 14 ms 3028 KB Output is correct
78 Correct 14 ms 3028 KB Output is correct
79 Correct 14 ms 3028 KB Output is correct
80 Correct 13 ms 3028 KB Output is correct
81 Correct 27 ms 3500 KB Output is correct
82 Correct 26 ms 3456 KB Output is correct
83 Correct 26 ms 3456 KB Output is correct
84 Correct 25 ms 3412 KB Output is correct
85 Correct 25 ms 3412 KB Output is correct
86 Correct 23 ms 3540 KB Output is correct
87 Correct 23 ms 3540 KB Output is correct
88 Correct 23 ms 3560 KB Output is correct
89 Correct 23 ms 3560 KB Output is correct
90 Correct 25 ms 3468 KB Output is correct
91 Correct 32 ms 4124 KB Output is correct
92 Correct 30 ms 4236 KB Output is correct
93 Correct 30 ms 4236 KB Output is correct
94 Correct 30 ms 4232 KB Output is correct
95 Correct 32 ms 4236 KB Output is correct
96 Incorrect 30 ms 4556 KB Output isn't correct
97 Halted 0 ms 0 KB -