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Submission #576871

# Submission time Handle Problem Language Result Execution time Memory
576871 2022-06-13T16:50:13 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 6848 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 = 1350;
int a[N], l[Q], r[Q], cnt[N];
int is[N], mm[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 * 1ll * (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];
	});
	
	set<int> ss;
	auto add = [&](int i){
		if(cnt[a[i]]){
			mm[cnt[a[i]]]--;
			if(!mm[cnt[a[i]]]) ss.erase(cnt[a[i]]);
		} 
		cnt[a[i]]++;
		if(!mm[cnt[a[i]]]) ss.insert(cnt[a[i]]);
		mm[cnt[a[i]]]++;
	};
	auto del = [&](int i){
		//~ assert(cnt[a[i]]);
		mm[cnt[a[i]]]--;
		if(!mm[cnt[a[i]]]) ss.erase(cnt[a[i]]);
		cnt[a[i]]--;
		if(cnt[a[i]]){
			if(!mm[cnt[a[i]]]) ss.insert(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 : ss){
			int c = mm[v];
			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 2612 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 2 ms 2644 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 15 ms 3156 KB Output is correct
5 Correct 31 ms 3660 KB Output is correct
6 Correct 44 ms 3968 KB Output is correct
7 Correct 37 ms 4400 KB Output is correct
8 Correct 42 ms 4056 KB Output is correct
9 Correct 54 ms 4048 KB Output is correct
10 Correct 42 ms 4180 KB Output is correct
11 Correct 57 ms 4020 KB Output is correct
12 Correct 47 ms 4056 KB Output is correct
13 Correct 44 ms 3984 KB Output is correct
14 Correct 43 ms 4124 KB Output is correct
15 Correct 42 ms 4000 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 15 ms 3156 KB Output is correct
5 Correct 31 ms 3660 KB Output is correct
6 Correct 44 ms 3968 KB Output is correct
7 Correct 37 ms 4400 KB Output is correct
8 Correct 42 ms 4056 KB Output is correct
9 Correct 54 ms 4048 KB Output is correct
10 Correct 42 ms 4180 KB Output is correct
11 Correct 57 ms 4020 KB Output is correct
12 Correct 47 ms 4056 KB Output is correct
13 Correct 44 ms 3984 KB Output is correct
14 Correct 43 ms 4124 KB Output is correct
15 Correct 42 ms 4000 KB Output is correct
16 Correct 3 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 4 ms 2644 KB Output is correct
19 Correct 21 ms 3104 KB Output is correct
20 Correct 44 ms 3492 KB Output is correct
21 Correct 47 ms 4020 KB Output is correct
22 Correct 60 ms 3940 KB Output is correct
23 Correct 50 ms 3952 KB Output is correct
24 Correct 48 ms 3964 KB Output is correct
25 Correct 48 ms 3944 KB Output is correct
26 Correct 55 ms 4096 KB Output is correct
27 Correct 50 ms 4012 KB Output is correct
28 Correct 52 ms 4148 KB Output is correct
29 Correct 50 ms 3940 KB Output is correct
30 Correct 53 ms 4024 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 15 ms 3156 KB Output is correct
5 Correct 31 ms 3660 KB Output is correct
6 Correct 44 ms 3968 KB Output is correct
7 Correct 37 ms 4400 KB Output is correct
8 Correct 42 ms 4056 KB Output is correct
9 Correct 54 ms 4048 KB Output is correct
10 Correct 42 ms 4180 KB Output is correct
11 Correct 57 ms 4020 KB Output is correct
12 Correct 47 ms 4056 KB Output is correct
13 Correct 44 ms 3984 KB Output is correct
14 Correct 43 ms 4124 KB Output is correct
15 Correct 42 ms 4000 KB Output is correct
16 Correct 3 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 4 ms 2644 KB Output is correct
19 Correct 21 ms 3104 KB Output is correct
20 Correct 44 ms 3492 KB Output is correct
21 Correct 47 ms 4020 KB Output is correct
22 Correct 60 ms 3940 KB Output is correct
23 Correct 50 ms 3952 KB Output is correct
24 Correct 48 ms 3964 KB Output is correct
25 Correct 48 ms 3944 KB Output is correct
26 Correct 55 ms 4096 KB Output is correct
27 Correct 50 ms 4012 KB Output is correct
28 Correct 52 ms 4148 KB Output is correct
29 Correct 50 ms 3940 KB Output is correct
30 Correct 53 ms 4024 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 3 ms 2644 KB Output is correct
35 Correct 3 ms 2772 KB Output is correct
36 Correct 3 ms 2644 KB Output is correct
37 Correct 7 ms 2924 KB Output is correct
38 Correct 6 ms 2900 KB Output is correct
39 Correct 15 ms 3112 KB Output is correct
40 Correct 23 ms 3500 KB Output is correct
41 Correct 40 ms 3908 KB Output is correct
42 Correct 39 ms 3844 KB Output is correct
43 Correct 39 ms 3916 KB Output is correct
44 Correct 50 ms 3892 KB Output is correct
45 Correct 48 ms 3884 KB Output is correct
46 Correct 38 ms 3940 KB Output is correct
47 Correct 37 ms 3840 KB Output is correct
48 Correct 39 ms 3940 KB Output is correct
49 Correct 37 ms 3896 KB Output is correct
50 Correct 40 ms 3908 KB Output is correct
51 Correct 43 ms 3864 KB Output is correct
52 Correct 39 ms 3884 KB Output is correct
53 Correct 49 ms 3880 KB Output is correct
54 Correct 43 ms 3864 KB Output is correct
55 Correct 46 ms 3900 KB Output is correct
56 Correct 39 ms 3884 KB Output is correct
57 Correct 36 ms 3836 KB Output is correct
58 Correct 38 ms 3912 KB Output is correct
59 Correct 38 ms 3888 KB Output is correct
60 Correct 41 ms 3868 KB Output is correct

Subtask #5
26.0 / 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 2612 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 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 15 ms 3156 KB Output is correct
15 Correct 31 ms 3660 KB Output is correct
16 Correct 44 ms 3968 KB Output is correct
17 Correct 37 ms 4400 KB Output is correct
18 Correct 42 ms 4056 KB Output is correct
19 Correct 54 ms 4048 KB Output is correct
20 Correct 42 ms 4180 KB Output is correct
21 Correct 57 ms 4020 KB Output is correct
22 Correct 47 ms 4056 KB Output is correct
23 Correct 44 ms 3984 KB Output is correct
24 Correct 43 ms 4124 KB Output is correct
25 Correct 42 ms 4000 KB Output is correct
26 Correct 3 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 4 ms 2644 KB Output is correct
29 Correct 21 ms 3104 KB Output is correct
30 Correct 44 ms 3492 KB Output is correct
31 Correct 47 ms 4020 KB Output is correct
32 Correct 60 ms 3940 KB Output is correct
33 Correct 50 ms 3952 KB Output is correct
34 Correct 48 ms 3964 KB Output is correct
35 Correct 48 ms 3944 KB Output is correct
36 Correct 55 ms 4096 KB Output is correct
37 Correct 50 ms 4012 KB Output is correct
38 Correct 52 ms 4148 KB Output is correct
39 Correct 50 ms 3940 KB Output is correct
40 Correct 53 ms 4024 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 3 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 3 ms 2644 KB Output is correct
45 Correct 3 ms 2772 KB Output is correct
46 Correct 3 ms 2644 KB Output is correct
47 Correct 7 ms 2924 KB Output is correct
48 Correct 6 ms 2900 KB Output is correct
49 Correct 15 ms 3112 KB Output is correct
50 Correct 23 ms 3500 KB Output is correct
51 Correct 40 ms 3908 KB Output is correct
52 Correct 39 ms 3844 KB Output is correct
53 Correct 39 ms 3916 KB Output is correct
54 Correct 50 ms 3892 KB Output is correct
55 Correct 48 ms 3884 KB Output is correct
56 Correct 38 ms 3940 KB Output is correct
57 Correct 37 ms 3840 KB Output is correct
58 Correct 39 ms 3940 KB Output is correct
59 Correct 37 ms 3896 KB Output is correct
60 Correct 40 ms 3908 KB Output is correct
61 Correct 43 ms 3864 KB Output is correct
62 Correct 39 ms 3884 KB Output is correct
63 Correct 49 ms 3880 KB Output is correct
64 Correct 43 ms 3864 KB Output is correct
65 Correct 46 ms 3900 KB Output is correct
66 Correct 39 ms 3884 KB Output is correct
67 Correct 36 ms 3836 KB Output is correct
68 Correct 38 ms 3912 KB Output is correct
69 Correct 38 ms 3888 KB Output is correct
70 Correct 41 ms 3868 KB Output is correct
71 Correct 7 ms 2856 KB Output is correct
72 Correct 6 ms 2900 KB Output is correct
73 Correct 6 ms 2900 KB Output is correct
74 Correct 6 ms 2900 KB Output is correct
75 Correct 6 ms 2900 KB Output is correct
76 Correct 9 ms 3080 KB Output is correct
77 Correct 9 ms 3028 KB Output is correct
78 Correct 10 ms 3024 KB Output is correct
79 Correct 9 ms 3028 KB Output is correct
80 Correct 9 ms 3084 KB Output is correct
81 Correct 16 ms 3528 KB Output is correct
82 Correct 16 ms 3456 KB Output is correct
83 Correct 16 ms 3540 KB Output is correct
84 Correct 15 ms 3496 KB Output is correct
85 Correct 17 ms 3540 KB Output is correct
86 Correct 21 ms 3572 KB Output is correct
87 Correct 23 ms 3540 KB Output is correct
88 Correct 19 ms 3560 KB Output is correct
89 Correct 18 ms 3540 KB Output is correct
90 Correct 18 ms 3540 KB Output is correct
91 Correct 26 ms 4184 KB Output is correct
92 Correct 26 ms 4256 KB Output is correct
93 Correct 26 ms 4180 KB Output is correct
94 Correct 25 ms 4200 KB Output is correct
95 Correct 26 ms 4204 KB Output is correct
96 Correct 32 ms 4616 KB Output is correct
97 Correct 30 ms 4636 KB Output is correct
98 Correct 32 ms 4560 KB Output is correct
99 Correct 38 ms 4692 KB Output is correct
100 Correct 30 ms 4536 KB Output is correct
101 Correct 29 ms 4636 KB Output is correct
102 Correct 30 ms 4592 KB Output is correct
103 Correct 29 ms 4612 KB Output is correct
104 Correct 31 ms 4632 KB Output is correct
105 Correct 29 ms 4580 KB Output is correct
106 Correct 29 ms 4740 KB Output is correct
107 Correct 32 ms 4712 KB Output is correct
108 Correct 37 ms 4812 KB Output is correct
109 Correct 30 ms 4812 KB Output is correct
110 Correct 32 ms 4820 KB Output is correct
111 Correct 30 ms 4756 KB Output is correct
112 Correct 30 ms 4832 KB Output is correct
113 Correct 31 ms 4780 KB Output is correct
114 Correct 30 ms 4820 KB Output is correct
115 Correct 30 ms 4832 KB Output is correct

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 2612 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 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 15 ms 3156 KB Output is correct
15 Correct 31 ms 3660 KB Output is correct
16 Correct 44 ms 3968 KB Output is correct
17 Correct 37 ms 4400 KB Output is correct
18 Correct 42 ms 4056 KB Output is correct
19 Correct 54 ms 4048 KB Output is correct
20 Correct 42 ms 4180 KB Output is correct
21 Correct 57 ms 4020 KB Output is correct
22 Correct 47 ms 4056 KB Output is correct
23 Correct 44 ms 3984 KB Output is correct
24 Correct 43 ms 4124 KB Output is correct
25 Correct 42 ms 4000 KB Output is correct
26 Correct 3 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 4 ms 2644 KB Output is correct
29 Correct 21 ms 3104 KB Output is correct
30 Correct 44 ms 3492 KB Output is correct
31 Correct 47 ms 4020 KB Output is correct
32 Correct 60 ms 3940 KB Output is correct
33 Correct 50 ms 3952 KB Output is correct
34 Correct 48 ms 3964 KB Output is correct
35 Correct 48 ms 3944 KB Output is correct
36 Correct 55 ms 4096 KB Output is correct
37 Correct 50 ms 4012 KB Output is correct
38 Correct 52 ms 4148 KB Output is correct
39 Correct 50 ms 3940 KB Output is correct
40 Correct 53 ms 4024 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 3 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 3 ms 2644 KB Output is correct
45 Correct 3 ms 2772 KB Output is correct
46 Correct 3 ms 2644 KB Output is correct
47 Correct 7 ms 2924 KB Output is correct
48 Correct 6 ms 2900 KB Output is correct
49 Correct 15 ms 3112 KB Output is correct
50 Correct 23 ms 3500 KB Output is correct
51 Correct 40 ms 3908 KB Output is correct
52 Correct 39 ms 3844 KB Output is correct
53 Correct 39 ms 3916 KB Output is correct
54 Correct 50 ms 3892 KB Output is correct
55 Correct 48 ms 3884 KB Output is correct
56 Correct 38 ms 3940 KB Output is correct
57 Correct 37 ms 3840 KB Output is correct
58 Correct 39 ms 3940 KB Output is correct
59 Correct 37 ms 3896 KB Output is correct
60 Correct 40 ms 3908 KB Output is correct
61 Correct 43 ms 3864 KB Output is correct
62 Correct 39 ms 3884 KB Output is correct
63 Correct 49 ms 3880 KB Output is correct
64 Correct 43 ms 3864 KB Output is correct
65 Correct 46 ms 3900 KB Output is correct
66 Correct 39 ms 3884 KB Output is correct
67 Correct 36 ms 3836 KB Output is correct
68 Correct 38 ms 3912 KB Output is correct
69 Correct 38 ms 3888 KB Output is correct
70 Correct 41 ms 3868 KB Output is correct
71 Correct 7 ms 2856 KB Output is correct
72 Correct 6 ms 2900 KB Output is correct
73 Correct 6 ms 2900 KB Output is correct
74 Correct 6 ms 2900 KB Output is correct
75 Correct 6 ms 2900 KB Output is correct
76 Correct 9 ms 3080 KB Output is correct
77 Correct 9 ms 3028 KB Output is correct
78 Correct 10 ms 3024 KB Output is correct
79 Correct 9 ms 3028 KB Output is correct
80 Correct 9 ms 3084 KB Output is correct
81 Correct 16 ms 3528 KB Output is correct
82 Correct 16 ms 3456 KB Output is correct
83 Correct 16 ms 3540 KB Output is correct
84 Correct 15 ms 3496 KB Output is correct
85 Correct 17 ms 3540 KB Output is correct
86 Correct 21 ms 3572 KB Output is correct
87 Correct 23 ms 3540 KB Output is correct
88 Correct 19 ms 3560 KB Output is correct
89 Correct 18 ms 3540 KB Output is correct
90 Correct 18 ms 3540 KB Output is correct
91 Correct 26 ms 4184 KB Output is correct
92 Correct 26 ms 4256 KB Output is correct
93 Correct 26 ms 4180 KB Output is correct
94 Correct 25 ms 4200 KB Output is correct
95 Correct 26 ms 4204 KB Output is correct
96 Correct 32 ms 4616 KB Output is correct
97 Correct 30 ms 4636 KB Output is correct
98 Correct 32 ms 4560 KB Output is correct
99 Correct 38 ms 4692 KB Output is correct
100 Correct 30 ms 4536 KB Output is correct
101 Correct 29 ms 4636 KB Output is correct
102 Correct 30 ms 4592 KB Output is correct
103 Correct 29 ms 4612 KB Output is correct
104 Correct 31 ms 4632 KB Output is correct
105 Correct 29 ms 4580 KB Output is correct
106 Correct 29 ms 4740 KB Output is correct
107 Correct 32 ms 4712 KB Output is correct
108 Correct 37 ms 4812 KB Output is correct
109 Correct 30 ms 4812 KB Output is correct
110 Correct 32 ms 4820 KB Output is correct
111 Correct 30 ms 4756 KB Output is correct
112 Correct 30 ms 4832 KB Output is correct
113 Correct 31 ms 4780 KB Output is correct
114 Correct 30 ms 4820 KB Output is correct
115 Correct 30 ms 4832 KB Output is correct
116 Correct 2324 ms 4220 KB Output is correct
117 Correct 1679 ms 4224 KB Output is correct
118 Correct 2821 ms 4560 KB Output is correct
119 Correct 1071 ms 4560 KB Output is correct
120 Correct 560 ms 4504 KB Output is correct
121 Correct 1038 ms 4736 KB Output is correct
122 Correct 564 ms 4708 KB Output is correct
123 Correct 2566 ms 5224 KB Output is correct
124 Correct 671 ms 6796 KB Output is correct
125 Correct 519 ms 6848 KB Output is correct
126 Execution timed out 7007 ms 6712 KB Time limit exceeded
127 Halted 0 ms 0 KB -