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Submission #576883

# Submission time Handle Problem Language Result Execution time Memory
576883 2022-06-13T17:07:25 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 7548 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 = 1700;
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 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 2 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 16 ms 3140 KB Output is correct
5 Correct 28 ms 3764 KB Output is correct
6 Correct 45 ms 4044 KB Output is correct
7 Correct 39 ms 4432 KB Output is correct
8 Correct 44 ms 3996 KB Output is correct
9 Correct 44 ms 3996 KB Output is correct
10 Correct 41 ms 4236 KB Output is correct
11 Correct 43 ms 4064 KB Output is correct
12 Correct 45 ms 4044 KB Output is correct
13 Correct 60 ms 3976 KB Output is correct
14 Correct 46 ms 4248 KB Output is correct
15 Correct 43 ms 4104 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 16 ms 3140 KB Output is correct
5 Correct 28 ms 3764 KB Output is correct
6 Correct 45 ms 4044 KB Output is correct
7 Correct 39 ms 4432 KB Output is correct
8 Correct 44 ms 3996 KB Output is correct
9 Correct 44 ms 3996 KB Output is correct
10 Correct 41 ms 4236 KB Output is correct
11 Correct 43 ms 4064 KB Output is correct
12 Correct 45 ms 4044 KB Output is correct
13 Correct 60 ms 3976 KB Output is correct
14 Correct 46 ms 4248 KB Output is correct
15 Correct 43 ms 4104 KB Output is correct
16 Correct 2 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 17 ms 3156 KB Output is correct
20 Correct 33 ms 3532 KB Output is correct
21 Correct 49 ms 4044 KB Output is correct
22 Correct 54 ms 3940 KB Output is correct
23 Correct 49 ms 3936 KB Output is correct
24 Correct 52 ms 3992 KB Output is correct
25 Correct 67 ms 3908 KB Output is correct
26 Correct 49 ms 3936 KB Output is correct
27 Correct 49 ms 3916 KB Output is correct
28 Correct 49 ms 4044 KB Output is correct
29 Correct 50 ms 3904 KB Output is correct
30 Correct 50 ms 3940 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 16 ms 3140 KB Output is correct
5 Correct 28 ms 3764 KB Output is correct
6 Correct 45 ms 4044 KB Output is correct
7 Correct 39 ms 4432 KB Output is correct
8 Correct 44 ms 3996 KB Output is correct
9 Correct 44 ms 3996 KB Output is correct
10 Correct 41 ms 4236 KB Output is correct
11 Correct 43 ms 4064 KB Output is correct
12 Correct 45 ms 4044 KB Output is correct
13 Correct 60 ms 3976 KB Output is correct
14 Correct 46 ms 4248 KB Output is correct
15 Correct 43 ms 4104 KB Output is correct
16 Correct 2 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 17 ms 3156 KB Output is correct
20 Correct 33 ms 3532 KB Output is correct
21 Correct 49 ms 4044 KB Output is correct
22 Correct 54 ms 3940 KB Output is correct
23 Correct 49 ms 3936 KB Output is correct
24 Correct 52 ms 3992 KB Output is correct
25 Correct 67 ms 3908 KB Output is correct
26 Correct 49 ms 3936 KB Output is correct
27 Correct 49 ms 3916 KB Output is correct
28 Correct 49 ms 4044 KB Output is correct
29 Correct 50 ms 3904 KB Output is correct
30 Correct 50 ms 3940 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 2756 KB Output is correct
35 Correct 4 ms 2644 KB Output is correct
36 Correct 3 ms 2644 KB Output is correct
37 Correct 7 ms 2920 KB Output is correct
38 Correct 6 ms 2900 KB Output is correct
39 Correct 13 ms 3120 KB Output is correct
40 Correct 24 ms 3496 KB Output is correct
41 Correct 39 ms 3916 KB Output is correct
42 Correct 41 ms 3912 KB Output is correct
43 Correct 41 ms 3860 KB Output is correct
44 Correct 40 ms 3836 KB Output is correct
45 Correct 41 ms 3836 KB Output is correct
46 Correct 40 ms 3824 KB Output is correct
47 Correct 39 ms 3892 KB Output is correct
48 Correct 40 ms 3888 KB Output is correct
49 Correct 40 ms 3888 KB Output is correct
50 Correct 45 ms 3888 KB Output is correct
51 Correct 39 ms 3916 KB Output is correct
52 Correct 41 ms 3896 KB Output is correct
53 Correct 41 ms 3880 KB Output is correct
54 Correct 44 ms 3900 KB Output is correct
55 Correct 48 ms 3888 KB Output is correct
56 Correct 48 ms 3924 KB Output is correct
57 Correct 38 ms 3896 KB Output is correct
58 Correct 40 ms 3900 KB Output is correct
59 Correct 39 ms 3880 KB Output is correct
60 Correct 40 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 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 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 16 ms 3140 KB Output is correct
15 Correct 28 ms 3764 KB Output is correct
16 Correct 45 ms 4044 KB Output is correct
17 Correct 39 ms 4432 KB Output is correct
18 Correct 44 ms 3996 KB Output is correct
19 Correct 44 ms 3996 KB Output is correct
20 Correct 41 ms 4236 KB Output is correct
21 Correct 43 ms 4064 KB Output is correct
22 Correct 45 ms 4044 KB Output is correct
23 Correct 60 ms 3976 KB Output is correct
24 Correct 46 ms 4248 KB Output is correct
25 Correct 43 ms 4104 KB Output is correct
26 Correct 2 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 17 ms 3156 KB Output is correct
30 Correct 33 ms 3532 KB Output is correct
31 Correct 49 ms 4044 KB Output is correct
32 Correct 54 ms 3940 KB Output is correct
33 Correct 49 ms 3936 KB Output is correct
34 Correct 52 ms 3992 KB Output is correct
35 Correct 67 ms 3908 KB Output is correct
36 Correct 49 ms 3936 KB Output is correct
37 Correct 49 ms 3916 KB Output is correct
38 Correct 49 ms 4044 KB Output is correct
39 Correct 50 ms 3904 KB Output is correct
40 Correct 50 ms 3940 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 2756 KB Output is correct
45 Correct 4 ms 2644 KB Output is correct
46 Correct 3 ms 2644 KB Output is correct
47 Correct 7 ms 2920 KB Output is correct
48 Correct 6 ms 2900 KB Output is correct
49 Correct 13 ms 3120 KB Output is correct
50 Correct 24 ms 3496 KB Output is correct
51 Correct 39 ms 3916 KB Output is correct
52 Correct 41 ms 3912 KB Output is correct
53 Correct 41 ms 3860 KB Output is correct
54 Correct 40 ms 3836 KB Output is correct
55 Correct 41 ms 3836 KB Output is correct
56 Correct 40 ms 3824 KB Output is correct
57 Correct 39 ms 3892 KB Output is correct
58 Correct 40 ms 3888 KB Output is correct
59 Correct 40 ms 3888 KB Output is correct
60 Correct 45 ms 3888 KB Output is correct
61 Correct 39 ms 3916 KB Output is correct
62 Correct 41 ms 3896 KB Output is correct
63 Correct 41 ms 3880 KB Output is correct
64 Correct 44 ms 3900 KB Output is correct
65 Correct 48 ms 3888 KB Output is correct
66 Correct 48 ms 3924 KB Output is correct
67 Correct 38 ms 3896 KB Output is correct
68 Correct 40 ms 3900 KB Output is correct
69 Correct 39 ms 3880 KB Output is correct
70 Correct 40 ms 3916 KB Output is correct
71 Correct 7 ms 2900 KB Output is correct
72 Correct 5 ms 2900 KB Output is correct
73 Correct 6 ms 2804 KB Output is correct
74 Correct 6 ms 2832 KB Output is correct
75 Correct 5 ms 2900 KB Output is correct
76 Correct 13 ms 3076 KB Output is correct
77 Correct 10 ms 3028 KB Output is correct
78 Correct 11 ms 3132 KB Output is correct
79 Correct 11 ms 3028 KB Output is correct
80 Correct 9 ms 3028 KB Output is correct
81 Correct 16 ms 3504 KB Output is correct
82 Correct 23 ms 3512 KB Output is correct
83 Correct 22 ms 3464 KB Output is correct
84 Correct 16 ms 3524 KB Output is correct
85 Correct 16 ms 3468 KB Output is correct
86 Correct 21 ms 3576 KB Output is correct
87 Correct 18 ms 3484 KB Output is correct
88 Correct 18 ms 3456 KB Output is correct
89 Correct 18 ms 3560 KB Output is correct
90 Correct 21 ms 3540 KB Output is correct
91 Correct 28 ms 4180 KB Output is correct
92 Correct 27 ms 4176 KB Output is correct
93 Correct 35 ms 4240 KB Output is correct
94 Correct 26 ms 4156 KB Output is correct
95 Correct 26 ms 4220 KB Output is correct
96 Correct 42 ms 4564 KB Output is correct
97 Correct 35 ms 4584 KB Output is correct
98 Correct 32 ms 4584 KB Output is correct
99 Correct 30 ms 4612 KB Output is correct
100 Correct 32 ms 4624 KB Output is correct
101 Correct 30 ms 4564 KB Output is correct
102 Correct 31 ms 4580 KB Output is correct
103 Correct 32 ms 4648 KB Output is correct
104 Correct 31 ms 4604 KB Output is correct
105 Correct 30 ms 4568 KB Output is correct
106 Correct 31 ms 4792 KB Output is correct
107 Correct 30 ms 4772 KB Output is correct
108 Correct 31 ms 4836 KB Output is correct
109 Correct 31 ms 4804 KB Output is correct
110 Correct 31 ms 4816 KB Output is correct
111 Correct 30 ms 4836 KB Output is correct
112 Correct 31 ms 4820 KB Output is correct
113 Correct 32 ms 4728 KB Output is correct
114 Correct 31 ms 4804 KB Output is correct
115 Correct 29 ms 4824 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 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 2 ms 2644 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 16 ms 3140 KB Output is correct
15 Correct 28 ms 3764 KB Output is correct
16 Correct 45 ms 4044 KB Output is correct
17 Correct 39 ms 4432 KB Output is correct
18 Correct 44 ms 3996 KB Output is correct
19 Correct 44 ms 3996 KB Output is correct
20 Correct 41 ms 4236 KB Output is correct
21 Correct 43 ms 4064 KB Output is correct
22 Correct 45 ms 4044 KB Output is correct
23 Correct 60 ms 3976 KB Output is correct
24 Correct 46 ms 4248 KB Output is correct
25 Correct 43 ms 4104 KB Output is correct
26 Correct 2 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 17 ms 3156 KB Output is correct
30 Correct 33 ms 3532 KB Output is correct
31 Correct 49 ms 4044 KB Output is correct
32 Correct 54 ms 3940 KB Output is correct
33 Correct 49 ms 3936 KB Output is correct
34 Correct 52 ms 3992 KB Output is correct
35 Correct 67 ms 3908 KB Output is correct
36 Correct 49 ms 3936 KB Output is correct
37 Correct 49 ms 3916 KB Output is correct
38 Correct 49 ms 4044 KB Output is correct
39 Correct 50 ms 3904 KB Output is correct
40 Correct 50 ms 3940 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 2756 KB Output is correct
45 Correct 4 ms 2644 KB Output is correct
46 Correct 3 ms 2644 KB Output is correct
47 Correct 7 ms 2920 KB Output is correct
48 Correct 6 ms 2900 KB Output is correct
49 Correct 13 ms 3120 KB Output is correct
50 Correct 24 ms 3496 KB Output is correct
51 Correct 39 ms 3916 KB Output is correct
52 Correct 41 ms 3912 KB Output is correct
53 Correct 41 ms 3860 KB Output is correct
54 Correct 40 ms 3836 KB Output is correct
55 Correct 41 ms 3836 KB Output is correct
56 Correct 40 ms 3824 KB Output is correct
57 Correct 39 ms 3892 KB Output is correct
58 Correct 40 ms 3888 KB Output is correct
59 Correct 40 ms 3888 KB Output is correct
60 Correct 45 ms 3888 KB Output is correct
61 Correct 39 ms 3916 KB Output is correct
62 Correct 41 ms 3896 KB Output is correct
63 Correct 41 ms 3880 KB Output is correct
64 Correct 44 ms 3900 KB Output is correct
65 Correct 48 ms 3888 KB Output is correct
66 Correct 48 ms 3924 KB Output is correct
67 Correct 38 ms 3896 KB Output is correct
68 Correct 40 ms 3900 KB Output is correct
69 Correct 39 ms 3880 KB Output is correct
70 Correct 40 ms 3916 KB Output is correct
71 Correct 7 ms 2900 KB Output is correct
72 Correct 5 ms 2900 KB Output is correct
73 Correct 6 ms 2804 KB Output is correct
74 Correct 6 ms 2832 KB Output is correct
75 Correct 5 ms 2900 KB Output is correct
76 Correct 13 ms 3076 KB Output is correct
77 Correct 10 ms 3028 KB Output is correct
78 Correct 11 ms 3132 KB Output is correct
79 Correct 11 ms 3028 KB Output is correct
80 Correct 9 ms 3028 KB Output is correct
81 Correct 16 ms 3504 KB Output is correct
82 Correct 23 ms 3512 KB Output is correct
83 Correct 22 ms 3464 KB Output is correct
84 Correct 16 ms 3524 KB Output is correct
85 Correct 16 ms 3468 KB Output is correct
86 Correct 21 ms 3576 KB Output is correct
87 Correct 18 ms 3484 KB Output is correct
88 Correct 18 ms 3456 KB Output is correct
89 Correct 18 ms 3560 KB Output is correct
90 Correct 21 ms 3540 KB Output is correct
91 Correct 28 ms 4180 KB Output is correct
92 Correct 27 ms 4176 KB Output is correct
93 Correct 35 ms 4240 KB Output is correct
94 Correct 26 ms 4156 KB Output is correct
95 Correct 26 ms 4220 KB Output is correct
96 Correct 42 ms 4564 KB Output is correct
97 Correct 35 ms 4584 KB Output is correct
98 Correct 32 ms 4584 KB Output is correct
99 Correct 30 ms 4612 KB Output is correct
100 Correct 32 ms 4624 KB Output is correct
101 Correct 30 ms 4564 KB Output is correct
102 Correct 31 ms 4580 KB Output is correct
103 Correct 32 ms 4648 KB Output is correct
104 Correct 31 ms 4604 KB Output is correct
105 Correct 30 ms 4568 KB Output is correct
106 Correct 31 ms 4792 KB Output is correct
107 Correct 30 ms 4772 KB Output is correct
108 Correct 31 ms 4836 KB Output is correct
109 Correct 31 ms 4804 KB Output is correct
110 Correct 31 ms 4816 KB Output is correct
111 Correct 30 ms 4836 KB Output is correct
112 Correct 31 ms 4820 KB Output is correct
113 Correct 32 ms 4728 KB Output is correct
114 Correct 31 ms 4804 KB Output is correct
115 Correct 29 ms 4824 KB Output is correct
116 Correct 2737 ms 6524 KB Output is correct
117 Correct 2083 ms 6552 KB Output is correct
118 Correct 3353 ms 6852 KB Output is correct
119 Correct 1217 ms 6832 KB Output is correct
120 Correct 630 ms 6840 KB Output is correct
121 Correct 1100 ms 7032 KB Output is correct
122 Correct 593 ms 7032 KB Output is correct
123 Correct 2096 ms 7548 KB Output is correct
124 Correct 663 ms 7544 KB Output is correct
125 Correct 463 ms 7504 KB Output is correct
126 Execution timed out 7073 ms 7292 KB Time limit exceeded
127 Halted 0 ms 0 KB -