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Submission #576880

# Submission time Handle Problem Language Result Execution time Memory
576880 2022-06-13T17:03:06 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 7580 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 = 1000;
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 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 3 ms 2644 KB Output is correct
6 Correct 3 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2656 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 2708 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2760 KB Output is correct
4 Correct 15 ms 3200 KB Output is correct
5 Correct 28 ms 3696 KB Output is correct
6 Correct 45 ms 4012 KB Output is correct
7 Correct 47 ms 4428 KB Output is correct
8 Correct 48 ms 3928 KB Output is correct
9 Correct 43 ms 4044 KB Output is correct
10 Correct 45 ms 4192 KB Output is correct
11 Correct 44 ms 4108 KB Output is correct
12 Correct 46 ms 3952 KB Output is correct
13 Correct 45 ms 4044 KB Output is correct
14 Correct 55 ms 4040 KB Output is correct
15 Correct 45 ms 4116 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2708 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2760 KB Output is correct
4 Correct 15 ms 3200 KB Output is correct
5 Correct 28 ms 3696 KB Output is correct
6 Correct 45 ms 4012 KB Output is correct
7 Correct 47 ms 4428 KB Output is correct
8 Correct 48 ms 3928 KB Output is correct
9 Correct 43 ms 4044 KB Output is correct
10 Correct 45 ms 4192 KB Output is correct
11 Correct 44 ms 4108 KB Output is correct
12 Correct 46 ms 3952 KB Output is correct
13 Correct 45 ms 4044 KB Output is correct
14 Correct 55 ms 4040 KB Output is correct
15 Correct 45 ms 4116 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 3 ms 2644 KB Output is correct
19 Correct 17 ms 3156 KB Output is correct
20 Correct 43 ms 3576 KB Output is correct
21 Correct 52 ms 4060 KB Output is correct
22 Correct 71 ms 3980 KB Output is correct
23 Correct 50 ms 4004 KB Output is correct
24 Correct 55 ms 3896 KB Output is correct
25 Correct 51 ms 4000 KB Output is correct
26 Correct 54 ms 4004 KB Output is correct
27 Correct 53 ms 3956 KB Output is correct
28 Correct 53 ms 4140 KB Output is correct
29 Correct 52 ms 3968 KB Output is correct
30 Correct 49 ms 3996 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2708 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2760 KB Output is correct
4 Correct 15 ms 3200 KB Output is correct
5 Correct 28 ms 3696 KB Output is correct
6 Correct 45 ms 4012 KB Output is correct
7 Correct 47 ms 4428 KB Output is correct
8 Correct 48 ms 3928 KB Output is correct
9 Correct 43 ms 4044 KB Output is correct
10 Correct 45 ms 4192 KB Output is correct
11 Correct 44 ms 4108 KB Output is correct
12 Correct 46 ms 3952 KB Output is correct
13 Correct 45 ms 4044 KB Output is correct
14 Correct 55 ms 4040 KB Output is correct
15 Correct 45 ms 4116 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 3 ms 2644 KB Output is correct
19 Correct 17 ms 3156 KB Output is correct
20 Correct 43 ms 3576 KB Output is correct
21 Correct 52 ms 4060 KB Output is correct
22 Correct 71 ms 3980 KB Output is correct
23 Correct 50 ms 4004 KB Output is correct
24 Correct 55 ms 3896 KB Output is correct
25 Correct 51 ms 4000 KB Output is correct
26 Correct 54 ms 4004 KB Output is correct
27 Correct 53 ms 3956 KB Output is correct
28 Correct 53 ms 4140 KB Output is correct
29 Correct 52 ms 3968 KB Output is correct
30 Correct 49 ms 3996 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 4 ms 2752 KB Output is correct
35 Correct 3 ms 2644 KB Output is correct
36 Correct 4 ms 2644 KB Output is correct
37 Correct 9 ms 2900 KB Output is correct
38 Correct 7 ms 2900 KB Output is correct
39 Correct 11 ms 3028 KB Output is correct
40 Correct 24 ms 3532 KB Output is correct
41 Correct 38 ms 3876 KB Output is correct
42 Correct 40 ms 3888 KB Output is correct
43 Correct 39 ms 3900 KB Output is correct
44 Correct 41 ms 3916 KB Output is correct
45 Correct 51 ms 3880 KB Output is correct
46 Correct 41 ms 3892 KB Output is correct
47 Correct 39 ms 3888 KB Output is correct
48 Correct 43 ms 4040 KB Output is correct
49 Correct 55 ms 3888 KB Output is correct
50 Correct 45 ms 3884 KB Output is correct
51 Correct 52 ms 3868 KB Output is correct
52 Correct 38 ms 3876 KB Output is correct
53 Correct 41 ms 3876 KB Output is correct
54 Correct 43 ms 3892 KB Output is correct
55 Correct 44 ms 3888 KB Output is correct
56 Correct 40 ms 3884 KB Output is correct
57 Correct 39 ms 3896 KB Output is correct
58 Correct 42 ms 3888 KB Output is correct
59 Correct 43 ms 3904 KB Output is correct
60 Correct 40 ms 3896 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 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 3 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2656 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 2708 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2760 KB Output is correct
14 Correct 15 ms 3200 KB Output is correct
15 Correct 28 ms 3696 KB Output is correct
16 Correct 45 ms 4012 KB Output is correct
17 Correct 47 ms 4428 KB Output is correct
18 Correct 48 ms 3928 KB Output is correct
19 Correct 43 ms 4044 KB Output is correct
20 Correct 45 ms 4192 KB Output is correct
21 Correct 44 ms 4108 KB Output is correct
22 Correct 46 ms 3952 KB Output is correct
23 Correct 45 ms 4044 KB Output is correct
24 Correct 55 ms 4040 KB Output is correct
25 Correct 45 ms 4116 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 3 ms 2644 KB Output is correct
28 Correct 3 ms 2644 KB Output is correct
29 Correct 17 ms 3156 KB Output is correct
30 Correct 43 ms 3576 KB Output is correct
31 Correct 52 ms 4060 KB Output is correct
32 Correct 71 ms 3980 KB Output is correct
33 Correct 50 ms 4004 KB Output is correct
34 Correct 55 ms 3896 KB Output is correct
35 Correct 51 ms 4000 KB Output is correct
36 Correct 54 ms 4004 KB Output is correct
37 Correct 53 ms 3956 KB Output is correct
38 Correct 53 ms 4140 KB Output is correct
39 Correct 52 ms 3968 KB Output is correct
40 Correct 49 ms 3996 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 4 ms 2752 KB Output is correct
45 Correct 3 ms 2644 KB Output is correct
46 Correct 4 ms 2644 KB Output is correct
47 Correct 9 ms 2900 KB Output is correct
48 Correct 7 ms 2900 KB Output is correct
49 Correct 11 ms 3028 KB Output is correct
50 Correct 24 ms 3532 KB Output is correct
51 Correct 38 ms 3876 KB Output is correct
52 Correct 40 ms 3888 KB Output is correct
53 Correct 39 ms 3900 KB Output is correct
54 Correct 41 ms 3916 KB Output is correct
55 Correct 51 ms 3880 KB Output is correct
56 Correct 41 ms 3892 KB Output is correct
57 Correct 39 ms 3888 KB Output is correct
58 Correct 43 ms 4040 KB Output is correct
59 Correct 55 ms 3888 KB Output is correct
60 Correct 45 ms 3884 KB Output is correct
61 Correct 52 ms 3868 KB Output is correct
62 Correct 38 ms 3876 KB Output is correct
63 Correct 41 ms 3876 KB Output is correct
64 Correct 43 ms 3892 KB Output is correct
65 Correct 44 ms 3888 KB Output is correct
66 Correct 40 ms 3884 KB Output is correct
67 Correct 39 ms 3896 KB Output is correct
68 Correct 42 ms 3888 KB Output is correct
69 Correct 43 ms 3904 KB Output is correct
70 Correct 40 ms 3896 KB Output is correct
71 Correct 6 ms 2900 KB Output is correct
72 Correct 8 ms 2900 KB Output is correct
73 Correct 6 ms 2900 KB Output is correct
74 Correct 8 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 3088 KB Output is correct
78 Correct 9 ms 3028 KB Output is correct
79 Correct 9 ms 3028 KB Output is correct
80 Correct 9 ms 3012 KB Output is correct
81 Correct 16 ms 3412 KB Output is correct
82 Correct 23 ms 3456 KB Output is correct
83 Correct 16 ms 3540 KB Output is correct
84 Correct 17 ms 3540 KB Output is correct
85 Correct 17 ms 3532 KB Output is correct
86 Correct 26 ms 3540 KB Output is correct
87 Correct 26 ms 3504 KB Output is correct
88 Correct 19 ms 3536 KB Output is correct
89 Correct 19 ms 3540 KB Output is correct
90 Correct 19 ms 3508 KB Output is correct
91 Correct 27 ms 4184 KB Output is correct
92 Correct 25 ms 4216 KB Output is correct
93 Correct 26 ms 4180 KB Output is correct
94 Correct 26 ms 4184 KB Output is correct
95 Correct 28 ms 4172 KB Output is correct
96 Correct 41 ms 4560 KB Output is correct
97 Correct 40 ms 4592 KB Output is correct
98 Correct 40 ms 4592 KB Output is correct
99 Correct 32 ms 4564 KB Output is correct
100 Correct 30 ms 4552 KB Output is correct
101 Correct 30 ms 4652 KB Output is correct
102 Correct 31 ms 4656 KB Output is correct
103 Correct 39 ms 4592 KB Output is correct
104 Correct 31 ms 4560 KB Output is correct
105 Correct 31 ms 4532 KB Output is correct
106 Correct 31 ms 4764 KB Output is correct
107 Correct 38 ms 4808 KB Output is correct
108 Correct 31 ms 4784 KB Output is correct
109 Correct 32 ms 4840 KB Output is correct
110 Correct 34 ms 4812 KB Output is correct
111 Correct 33 ms 4808 KB Output is correct
112 Correct 40 ms 4812 KB Output is correct
113 Correct 31 ms 4796 KB Output is correct
114 Correct 32 ms 4788 KB Output is correct
115 Correct 34 ms 4812 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 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 3 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2656 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 2708 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 3 ms 2760 KB Output is correct
14 Correct 15 ms 3200 KB Output is correct
15 Correct 28 ms 3696 KB Output is correct
16 Correct 45 ms 4012 KB Output is correct
17 Correct 47 ms 4428 KB Output is correct
18 Correct 48 ms 3928 KB Output is correct
19 Correct 43 ms 4044 KB Output is correct
20 Correct 45 ms 4192 KB Output is correct
21 Correct 44 ms 4108 KB Output is correct
22 Correct 46 ms 3952 KB Output is correct
23 Correct 45 ms 4044 KB Output is correct
24 Correct 55 ms 4040 KB Output is correct
25 Correct 45 ms 4116 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 3 ms 2644 KB Output is correct
28 Correct 3 ms 2644 KB Output is correct
29 Correct 17 ms 3156 KB Output is correct
30 Correct 43 ms 3576 KB Output is correct
31 Correct 52 ms 4060 KB Output is correct
32 Correct 71 ms 3980 KB Output is correct
33 Correct 50 ms 4004 KB Output is correct
34 Correct 55 ms 3896 KB Output is correct
35 Correct 51 ms 4000 KB Output is correct
36 Correct 54 ms 4004 KB Output is correct
37 Correct 53 ms 3956 KB Output is correct
38 Correct 53 ms 4140 KB Output is correct
39 Correct 52 ms 3968 KB Output is correct
40 Correct 49 ms 3996 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 4 ms 2752 KB Output is correct
45 Correct 3 ms 2644 KB Output is correct
46 Correct 4 ms 2644 KB Output is correct
47 Correct 9 ms 2900 KB Output is correct
48 Correct 7 ms 2900 KB Output is correct
49 Correct 11 ms 3028 KB Output is correct
50 Correct 24 ms 3532 KB Output is correct
51 Correct 38 ms 3876 KB Output is correct
52 Correct 40 ms 3888 KB Output is correct
53 Correct 39 ms 3900 KB Output is correct
54 Correct 41 ms 3916 KB Output is correct
55 Correct 51 ms 3880 KB Output is correct
56 Correct 41 ms 3892 KB Output is correct
57 Correct 39 ms 3888 KB Output is correct
58 Correct 43 ms 4040 KB Output is correct
59 Correct 55 ms 3888 KB Output is correct
60 Correct 45 ms 3884 KB Output is correct
61 Correct 52 ms 3868 KB Output is correct
62 Correct 38 ms 3876 KB Output is correct
63 Correct 41 ms 3876 KB Output is correct
64 Correct 43 ms 3892 KB Output is correct
65 Correct 44 ms 3888 KB Output is correct
66 Correct 40 ms 3884 KB Output is correct
67 Correct 39 ms 3896 KB Output is correct
68 Correct 42 ms 3888 KB Output is correct
69 Correct 43 ms 3904 KB Output is correct
70 Correct 40 ms 3896 KB Output is correct
71 Correct 6 ms 2900 KB Output is correct
72 Correct 8 ms 2900 KB Output is correct
73 Correct 6 ms 2900 KB Output is correct
74 Correct 8 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 3088 KB Output is correct
78 Correct 9 ms 3028 KB Output is correct
79 Correct 9 ms 3028 KB Output is correct
80 Correct 9 ms 3012 KB Output is correct
81 Correct 16 ms 3412 KB Output is correct
82 Correct 23 ms 3456 KB Output is correct
83 Correct 16 ms 3540 KB Output is correct
84 Correct 17 ms 3540 KB Output is correct
85 Correct 17 ms 3532 KB Output is correct
86 Correct 26 ms 3540 KB Output is correct
87 Correct 26 ms 3504 KB Output is correct
88 Correct 19 ms 3536 KB Output is correct
89 Correct 19 ms 3540 KB Output is correct
90 Correct 19 ms 3508 KB Output is correct
91 Correct 27 ms 4184 KB Output is correct
92 Correct 25 ms 4216 KB Output is correct
93 Correct 26 ms 4180 KB Output is correct
94 Correct 26 ms 4184 KB Output is correct
95 Correct 28 ms 4172 KB Output is correct
96 Correct 41 ms 4560 KB Output is correct
97 Correct 40 ms 4592 KB Output is correct
98 Correct 40 ms 4592 KB Output is correct
99 Correct 32 ms 4564 KB Output is correct
100 Correct 30 ms 4552 KB Output is correct
101 Correct 30 ms 4652 KB Output is correct
102 Correct 31 ms 4656 KB Output is correct
103 Correct 39 ms 4592 KB Output is correct
104 Correct 31 ms 4560 KB Output is correct
105 Correct 31 ms 4532 KB Output is correct
106 Correct 31 ms 4764 KB Output is correct
107 Correct 38 ms 4808 KB Output is correct
108 Correct 31 ms 4784 KB Output is correct
109 Correct 32 ms 4840 KB Output is correct
110 Correct 34 ms 4812 KB Output is correct
111 Correct 33 ms 4808 KB Output is correct
112 Correct 40 ms 4812 KB Output is correct
113 Correct 31 ms 4796 KB Output is correct
114 Correct 32 ms 4788 KB Output is correct
115 Correct 34 ms 4812 KB Output is correct
116 Correct 1799 ms 6564 KB Output is correct
117 Correct 1294 ms 6552 KB Output is correct
118 Correct 2181 ms 6832 KB Output is correct
119 Correct 841 ms 6864 KB Output is correct
120 Correct 455 ms 6824 KB Output is correct
121 Correct 886 ms 7132 KB Output is correct
122 Correct 480 ms 7040 KB Output is correct
123 Correct 1956 ms 7548 KB Output is correct
124 Correct 555 ms 7548 KB Output is correct
125 Correct 441 ms 7580 KB Output is correct
126 Execution timed out 7041 ms 7248 KB Time limit exceeded
127 Halted 0 ms 0 KB -