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Submission #576879

# Submission time Handle Problem Language Result Execution time Memory
576879 2022-06-13T17:02:49 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 7556 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
typedef int64_t ll;

const int N = 3e5 + 5;
const int Q = 5e4 + 5;
const int B = 1150;
int a[N], l[Q], r[Q];
int cnt[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){
		if(rx > r[i]){ 
			ss.clear();
			lx = rx = l[i];
			memset(cnt, 0, sizeof cnt);
			memset(mm, 0, sizeof mm);
		}
		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 3 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 3 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 3 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 2 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 14 ms 3156 KB Output is correct
5 Correct 27 ms 3736 KB Output is correct
6 Correct 43 ms 4016 KB Output is correct
7 Correct 38 ms 4476 KB Output is correct
8 Correct 49 ms 4040 KB Output is correct
9 Correct 46 ms 4044 KB Output is correct
10 Correct 45 ms 4184 KB Output is correct
11 Correct 41 ms 4128 KB Output is correct
12 Correct 44 ms 4068 KB Output is correct
13 Correct 43 ms 3932 KB Output is correct
14 Correct 42 ms 4080 KB Output is correct
15 Correct 44 ms 4016 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 2 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 14 ms 3156 KB Output is correct
5 Correct 27 ms 3736 KB Output is correct
6 Correct 43 ms 4016 KB Output is correct
7 Correct 38 ms 4476 KB Output is correct
8 Correct 49 ms 4040 KB Output is correct
9 Correct 46 ms 4044 KB Output is correct
10 Correct 45 ms 4184 KB Output is correct
11 Correct 41 ms 4128 KB Output is correct
12 Correct 44 ms 4068 KB Output is correct
13 Correct 43 ms 3932 KB Output is correct
14 Correct 42 ms 4080 KB Output is correct
15 Correct 44 ms 4016 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 17 ms 3120 KB Output is correct
20 Correct 33 ms 3580 KB Output is correct
21 Correct 46 ms 4008 KB Output is correct
22 Correct 51 ms 4000 KB Output is correct
23 Correct 51 ms 4044 KB Output is correct
24 Correct 56 ms 3892 KB Output is correct
25 Correct 48 ms 3936 KB Output is correct
26 Correct 48 ms 3976 KB Output is correct
27 Correct 47 ms 3996 KB Output is correct
28 Correct 48 ms 4048 KB Output is correct
29 Correct 50 ms 3924 KB Output is correct
30 Correct 49 ms 4020 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 2 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 14 ms 3156 KB Output is correct
5 Correct 27 ms 3736 KB Output is correct
6 Correct 43 ms 4016 KB Output is correct
7 Correct 38 ms 4476 KB Output is correct
8 Correct 49 ms 4040 KB Output is correct
9 Correct 46 ms 4044 KB Output is correct
10 Correct 45 ms 4184 KB Output is correct
11 Correct 41 ms 4128 KB Output is correct
12 Correct 44 ms 4068 KB Output is correct
13 Correct 43 ms 3932 KB Output is correct
14 Correct 42 ms 4080 KB Output is correct
15 Correct 44 ms 4016 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 17 ms 3120 KB Output is correct
20 Correct 33 ms 3580 KB Output is correct
21 Correct 46 ms 4008 KB Output is correct
22 Correct 51 ms 4000 KB Output is correct
23 Correct 51 ms 4044 KB Output is correct
24 Correct 56 ms 3892 KB Output is correct
25 Correct 48 ms 3936 KB Output is correct
26 Correct 48 ms 3976 KB Output is correct
27 Correct 47 ms 3996 KB Output is correct
28 Correct 48 ms 4048 KB Output is correct
29 Correct 50 ms 3924 KB Output is correct
30 Correct 49 ms 4020 KB Output is correct
31 Correct 3 ms 2688 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 5 ms 2644 KB Output is correct
35 Correct 5 ms 2644 KB Output is correct
36 Correct 4 ms 2644 KB Output is correct
37 Correct 8 ms 2920 KB Output is correct
38 Correct 6 ms 2868 KB Output is correct
39 Correct 11 ms 3028 KB Output is correct
40 Correct 23 ms 3540 KB Output is correct
41 Correct 38 ms 3896 KB Output is correct
42 Correct 39 ms 4000 KB Output is correct
43 Correct 39 ms 3900 KB Output is correct
44 Correct 39 ms 3888 KB Output is correct
45 Correct 41 ms 3880 KB Output is correct
46 Correct 39 ms 3920 KB Output is correct
47 Correct 37 ms 3888 KB Output is correct
48 Correct 40 ms 3892 KB Output is correct
49 Correct 37 ms 3896 KB Output is correct
50 Correct 38 ms 3896 KB Output is correct
51 Correct 38 ms 3844 KB Output is correct
52 Correct 41 ms 3920 KB Output is correct
53 Correct 47 ms 3916 KB Output is correct
54 Correct 39 ms 3892 KB Output is correct
55 Correct 37 ms 3912 KB Output is correct
56 Correct 42 ms 3892 KB Output is correct
57 Correct 37 ms 3916 KB Output is correct
58 Correct 38 ms 3888 KB Output is correct
59 Correct 39 ms 3896 KB Output is correct
60 Correct 39 ms 3916 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 3 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 3 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 3 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 2 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 14 ms 3156 KB Output is correct
15 Correct 27 ms 3736 KB Output is correct
16 Correct 43 ms 4016 KB Output is correct
17 Correct 38 ms 4476 KB Output is correct
18 Correct 49 ms 4040 KB Output is correct
19 Correct 46 ms 4044 KB Output is correct
20 Correct 45 ms 4184 KB Output is correct
21 Correct 41 ms 4128 KB Output is correct
22 Correct 44 ms 4068 KB Output is correct
23 Correct 43 ms 3932 KB Output is correct
24 Correct 42 ms 4080 KB Output is correct
25 Correct 44 ms 4016 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 17 ms 3120 KB Output is correct
30 Correct 33 ms 3580 KB Output is correct
31 Correct 46 ms 4008 KB Output is correct
32 Correct 51 ms 4000 KB Output is correct
33 Correct 51 ms 4044 KB Output is correct
34 Correct 56 ms 3892 KB Output is correct
35 Correct 48 ms 3936 KB Output is correct
36 Correct 48 ms 3976 KB Output is correct
37 Correct 47 ms 3996 KB Output is correct
38 Correct 48 ms 4048 KB Output is correct
39 Correct 50 ms 3924 KB Output is correct
40 Correct 49 ms 4020 KB Output is correct
41 Correct 3 ms 2688 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 5 ms 2644 KB Output is correct
45 Correct 5 ms 2644 KB Output is correct
46 Correct 4 ms 2644 KB Output is correct
47 Correct 8 ms 2920 KB Output is correct
48 Correct 6 ms 2868 KB Output is correct
49 Correct 11 ms 3028 KB Output is correct
50 Correct 23 ms 3540 KB Output is correct
51 Correct 38 ms 3896 KB Output is correct
52 Correct 39 ms 4000 KB Output is correct
53 Correct 39 ms 3900 KB Output is correct
54 Correct 39 ms 3888 KB Output is correct
55 Correct 41 ms 3880 KB Output is correct
56 Correct 39 ms 3920 KB Output is correct
57 Correct 37 ms 3888 KB Output is correct
58 Correct 40 ms 3892 KB Output is correct
59 Correct 37 ms 3896 KB Output is correct
60 Correct 38 ms 3896 KB Output is correct
61 Correct 38 ms 3844 KB Output is correct
62 Correct 41 ms 3920 KB Output is correct
63 Correct 47 ms 3916 KB Output is correct
64 Correct 39 ms 3892 KB Output is correct
65 Correct 37 ms 3912 KB Output is correct
66 Correct 42 ms 3892 KB Output is correct
67 Correct 37 ms 3916 KB Output is correct
68 Correct 38 ms 3888 KB Output is correct
69 Correct 39 ms 3896 KB Output is correct
70 Correct 39 ms 3916 KB Output is correct
71 Correct 6 ms 2900 KB Output is correct
72 Correct 6 ms 2892 KB Output is correct
73 Correct 6 ms 2868 KB Output is correct
74 Correct 5 ms 2900 KB Output is correct
75 Correct 6 ms 2900 KB Output is correct
76 Correct 9 ms 3028 KB Output is correct
77 Correct 9 ms 3028 KB Output is correct
78 Correct 13 ms 3120 KB Output is correct
79 Correct 9 ms 3064 KB Output is correct
80 Correct 9 ms 3088 KB Output is correct
81 Correct 15 ms 3660 KB Output is correct
82 Correct 15 ms 3540 KB Output is correct
83 Correct 16 ms 3540 KB Output is correct
84 Correct 16 ms 3512 KB Output is correct
85 Correct 18 ms 3540 KB Output is correct
86 Correct 19 ms 3540 KB Output is correct
87 Correct 23 ms 3472 KB Output is correct
88 Correct 19 ms 3584 KB Output is correct
89 Correct 18 ms 3540 KB Output is correct
90 Correct 18 ms 3576 KB Output is correct
91 Correct 27 ms 4244 KB Output is correct
92 Correct 27 ms 4244 KB Output is correct
93 Correct 27 ms 4176 KB Output is correct
94 Correct 31 ms 4140 KB Output is correct
95 Correct 27 ms 4156 KB Output is correct
96 Correct 30 ms 4556 KB Output is correct
97 Correct 35 ms 4616 KB Output is correct
98 Correct 32 ms 4644 KB Output is correct
99 Correct 37 ms 4576 KB Output is correct
100 Correct 31 ms 4548 KB Output is correct
101 Correct 30 ms 4564 KB Output is correct
102 Correct 30 ms 4652 KB Output is correct
103 Correct 36 ms 4564 KB Output is correct
104 Correct 30 ms 4608 KB Output is correct
105 Correct 31 ms 4564 KB Output is correct
106 Correct 30 ms 4724 KB Output is correct
107 Correct 29 ms 4816 KB Output is correct
108 Correct 30 ms 4736 KB Output is correct
109 Correct 30 ms 4772 KB Output is correct
110 Correct 29 ms 4772 KB Output is correct
111 Correct 31 ms 4820 KB Output is correct
112 Correct 30 ms 4840 KB Output is correct
113 Correct 29 ms 4776 KB Output is correct
114 Correct 40 ms 4792 KB Output is correct
115 Correct 30 ms 4840 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 3 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 3 ms 2644 KB Output is correct
7 Correct 3 ms 2644 KB Output is correct
8 Correct 3 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 2 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 14 ms 3156 KB Output is correct
15 Correct 27 ms 3736 KB Output is correct
16 Correct 43 ms 4016 KB Output is correct
17 Correct 38 ms 4476 KB Output is correct
18 Correct 49 ms 4040 KB Output is correct
19 Correct 46 ms 4044 KB Output is correct
20 Correct 45 ms 4184 KB Output is correct
21 Correct 41 ms 4128 KB Output is correct
22 Correct 44 ms 4068 KB Output is correct
23 Correct 43 ms 3932 KB Output is correct
24 Correct 42 ms 4080 KB Output is correct
25 Correct 44 ms 4016 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 17 ms 3120 KB Output is correct
30 Correct 33 ms 3580 KB Output is correct
31 Correct 46 ms 4008 KB Output is correct
32 Correct 51 ms 4000 KB Output is correct
33 Correct 51 ms 4044 KB Output is correct
34 Correct 56 ms 3892 KB Output is correct
35 Correct 48 ms 3936 KB Output is correct
36 Correct 48 ms 3976 KB Output is correct
37 Correct 47 ms 3996 KB Output is correct
38 Correct 48 ms 4048 KB Output is correct
39 Correct 50 ms 3924 KB Output is correct
40 Correct 49 ms 4020 KB Output is correct
41 Correct 3 ms 2688 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 5 ms 2644 KB Output is correct
45 Correct 5 ms 2644 KB Output is correct
46 Correct 4 ms 2644 KB Output is correct
47 Correct 8 ms 2920 KB Output is correct
48 Correct 6 ms 2868 KB Output is correct
49 Correct 11 ms 3028 KB Output is correct
50 Correct 23 ms 3540 KB Output is correct
51 Correct 38 ms 3896 KB Output is correct
52 Correct 39 ms 4000 KB Output is correct
53 Correct 39 ms 3900 KB Output is correct
54 Correct 39 ms 3888 KB Output is correct
55 Correct 41 ms 3880 KB Output is correct
56 Correct 39 ms 3920 KB Output is correct
57 Correct 37 ms 3888 KB Output is correct
58 Correct 40 ms 3892 KB Output is correct
59 Correct 37 ms 3896 KB Output is correct
60 Correct 38 ms 3896 KB Output is correct
61 Correct 38 ms 3844 KB Output is correct
62 Correct 41 ms 3920 KB Output is correct
63 Correct 47 ms 3916 KB Output is correct
64 Correct 39 ms 3892 KB Output is correct
65 Correct 37 ms 3912 KB Output is correct
66 Correct 42 ms 3892 KB Output is correct
67 Correct 37 ms 3916 KB Output is correct
68 Correct 38 ms 3888 KB Output is correct
69 Correct 39 ms 3896 KB Output is correct
70 Correct 39 ms 3916 KB Output is correct
71 Correct 6 ms 2900 KB Output is correct
72 Correct 6 ms 2892 KB Output is correct
73 Correct 6 ms 2868 KB Output is correct
74 Correct 5 ms 2900 KB Output is correct
75 Correct 6 ms 2900 KB Output is correct
76 Correct 9 ms 3028 KB Output is correct
77 Correct 9 ms 3028 KB Output is correct
78 Correct 13 ms 3120 KB Output is correct
79 Correct 9 ms 3064 KB Output is correct
80 Correct 9 ms 3088 KB Output is correct
81 Correct 15 ms 3660 KB Output is correct
82 Correct 15 ms 3540 KB Output is correct
83 Correct 16 ms 3540 KB Output is correct
84 Correct 16 ms 3512 KB Output is correct
85 Correct 18 ms 3540 KB Output is correct
86 Correct 19 ms 3540 KB Output is correct
87 Correct 23 ms 3472 KB Output is correct
88 Correct 19 ms 3584 KB Output is correct
89 Correct 18 ms 3540 KB Output is correct
90 Correct 18 ms 3576 KB Output is correct
91 Correct 27 ms 4244 KB Output is correct
92 Correct 27 ms 4244 KB Output is correct
93 Correct 27 ms 4176 KB Output is correct
94 Correct 31 ms 4140 KB Output is correct
95 Correct 27 ms 4156 KB Output is correct
96 Correct 30 ms 4556 KB Output is correct
97 Correct 35 ms 4616 KB Output is correct
98 Correct 32 ms 4644 KB Output is correct
99 Correct 37 ms 4576 KB Output is correct
100 Correct 31 ms 4548 KB Output is correct
101 Correct 30 ms 4564 KB Output is correct
102 Correct 30 ms 4652 KB Output is correct
103 Correct 36 ms 4564 KB Output is correct
104 Correct 30 ms 4608 KB Output is correct
105 Correct 31 ms 4564 KB Output is correct
106 Correct 30 ms 4724 KB Output is correct
107 Correct 29 ms 4816 KB Output is correct
108 Correct 30 ms 4736 KB Output is correct
109 Correct 30 ms 4772 KB Output is correct
110 Correct 29 ms 4772 KB Output is correct
111 Correct 31 ms 4820 KB Output is correct
112 Correct 30 ms 4840 KB Output is correct
113 Correct 29 ms 4776 KB Output is correct
114 Correct 40 ms 4792 KB Output is correct
115 Correct 30 ms 4840 KB Output is correct
116 Correct 1886 ms 6548 KB Output is correct
117 Correct 1495 ms 6556 KB Output is correct
118 Correct 2548 ms 6824 KB Output is correct
119 Correct 960 ms 6836 KB Output is correct
120 Correct 530 ms 6836 KB Output is correct
121 Correct 945 ms 7032 KB Output is correct
122 Correct 546 ms 7028 KB Output is correct
123 Correct 2071 ms 7508 KB Output is correct
124 Correct 565 ms 7552 KB Output is correct
125 Correct 453 ms 7556 KB Output is correct
126 Execution timed out 7076 ms 7288 KB Time limit exceeded
127 Halted 0 ms 0 KB -