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Submission #576866

# Submission time Handle Problem Language Result Execution time Memory
576866 2022-06-13T16:39:47 Z amunduzbaev Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 2488 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];
int cnt[N];
ll res[Q];

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=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){
			res[i] += v * (p * c + c * (c - 1) / 2) * sum;
			res[i] -= v * c * sumj;
			res[i] += (c * c * (c + 1) / 2 - c * (c + 1) * (2 * c + 1) / 6) * v * v;
			sumj += v * (p * c + c * (c - 1) / 2);
			p += c, sum += v * 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 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 19 ms 724 KB Output is correct
5 Correct 27 ms 1236 KB Output is correct
6 Correct 46 ms 1492 KB Output is correct
7 Correct 40 ms 1512 KB Output is correct
8 Correct 47 ms 1492 KB Output is correct
9 Correct 43 ms 1492 KB Output is correct
10 Correct 41 ms 1492 KB Output is correct
11 Correct 44 ms 1468 KB Output is correct
12 Correct 48 ms 1392 KB Output is correct
13 Correct 46 ms 1496 KB Output is correct
14 Correct 42 ms 1492 KB Output is correct
15 Correct 42 ms 1440 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 19 ms 724 KB Output is correct
5 Correct 27 ms 1236 KB Output is correct
6 Correct 46 ms 1492 KB Output is correct
7 Correct 40 ms 1512 KB Output is correct
8 Correct 47 ms 1492 KB Output is correct
9 Correct 43 ms 1492 KB Output is correct
10 Correct 41 ms 1492 KB Output is correct
11 Correct 44 ms 1468 KB Output is correct
12 Correct 48 ms 1392 KB Output is correct
13 Correct 46 ms 1496 KB Output is correct
14 Correct 42 ms 1492 KB Output is correct
15 Correct 42 ms 1440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 18 ms 724 KB Output is correct
20 Correct 45 ms 1108 KB Output is correct
21 Correct 52 ms 1504 KB Output is correct
22 Correct 55 ms 1492 KB Output is correct
23 Correct 51 ms 1452 KB Output is correct
24 Correct 54 ms 1496 KB Output is correct
25 Correct 57 ms 1496 KB Output is correct
26 Correct 57 ms 1504 KB Output is correct
27 Correct 52 ms 1492 KB Output is correct
28 Correct 51 ms 1460 KB Output is correct
29 Correct 54 ms 1492 KB Output is correct
30 Correct 56 ms 1492 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 19 ms 724 KB Output is correct
5 Correct 27 ms 1236 KB Output is correct
6 Correct 46 ms 1492 KB Output is correct
7 Correct 40 ms 1512 KB Output is correct
8 Correct 47 ms 1492 KB Output is correct
9 Correct 43 ms 1492 KB Output is correct
10 Correct 41 ms 1492 KB Output is correct
11 Correct 44 ms 1468 KB Output is correct
12 Correct 48 ms 1392 KB Output is correct
13 Correct 46 ms 1496 KB Output is correct
14 Correct 42 ms 1492 KB Output is correct
15 Correct 42 ms 1440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 18 ms 724 KB Output is correct
20 Correct 45 ms 1108 KB Output is correct
21 Correct 52 ms 1504 KB Output is correct
22 Correct 55 ms 1492 KB Output is correct
23 Correct 51 ms 1452 KB Output is correct
24 Correct 54 ms 1496 KB Output is correct
25 Correct 57 ms 1496 KB Output is correct
26 Correct 57 ms 1504 KB Output is correct
27 Correct 52 ms 1492 KB Output is correct
28 Correct 51 ms 1460 KB Output is correct
29 Correct 54 ms 1492 KB Output is correct
30 Correct 56 ms 1492 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 3 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 10 ms 544 KB Output is correct
38 Correct 7 ms 552 KB Output is correct
39 Correct 23 ms 724 KB Output is correct
40 Correct 43 ms 1104 KB Output is correct
41 Correct 70 ms 1524 KB Output is correct
42 Correct 67 ms 1528 KB Output is correct
43 Correct 71 ms 1524 KB Output is correct
44 Correct 68 ms 1516 KB Output is correct
45 Correct 70 ms 1524 KB Output is correct
46 Correct 66 ms 1504 KB Output is correct
47 Correct 67 ms 1508 KB Output is correct
48 Correct 67 ms 1516 KB Output is correct
49 Correct 68 ms 1524 KB Output is correct
50 Correct 68 ms 1508 KB Output is correct
51 Correct 67 ms 1612 KB Output is correct
52 Correct 65 ms 1544 KB Output is correct
53 Correct 71 ms 1500 KB Output is correct
54 Correct 69 ms 1536 KB Output is correct
55 Correct 65 ms 1484 KB Output is correct
56 Correct 69 ms 1648 KB Output is correct
57 Correct 66 ms 1524 KB Output is correct
58 Correct 69 ms 1484 KB Output is correct
59 Correct 69 ms 1512 KB Output is correct
60 Correct 68 ms 1520 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 19 ms 724 KB Output is correct
15 Correct 27 ms 1236 KB Output is correct
16 Correct 46 ms 1492 KB Output is correct
17 Correct 40 ms 1512 KB Output is correct
18 Correct 47 ms 1492 KB Output is correct
19 Correct 43 ms 1492 KB Output is correct
20 Correct 41 ms 1492 KB Output is correct
21 Correct 44 ms 1468 KB Output is correct
22 Correct 48 ms 1392 KB Output is correct
23 Correct 46 ms 1496 KB Output is correct
24 Correct 42 ms 1492 KB Output is correct
25 Correct 42 ms 1440 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 18 ms 724 KB Output is correct
30 Correct 45 ms 1108 KB Output is correct
31 Correct 52 ms 1504 KB Output is correct
32 Correct 55 ms 1492 KB Output is correct
33 Correct 51 ms 1452 KB Output is correct
34 Correct 54 ms 1496 KB Output is correct
35 Correct 57 ms 1496 KB Output is correct
36 Correct 57 ms 1504 KB Output is correct
37 Correct 52 ms 1492 KB Output is correct
38 Correct 51 ms 1460 KB Output is correct
39 Correct 54 ms 1492 KB Output is correct
40 Correct 56 ms 1492 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 3 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 10 ms 544 KB Output is correct
48 Correct 7 ms 552 KB Output is correct
49 Correct 23 ms 724 KB Output is correct
50 Correct 43 ms 1104 KB Output is correct
51 Correct 70 ms 1524 KB Output is correct
52 Correct 67 ms 1528 KB Output is correct
53 Correct 71 ms 1524 KB Output is correct
54 Correct 68 ms 1516 KB Output is correct
55 Correct 70 ms 1524 KB Output is correct
56 Correct 66 ms 1504 KB Output is correct
57 Correct 67 ms 1508 KB Output is correct
58 Correct 67 ms 1516 KB Output is correct
59 Correct 68 ms 1524 KB Output is correct
60 Correct 68 ms 1508 KB Output is correct
61 Correct 67 ms 1612 KB Output is correct
62 Correct 65 ms 1544 KB Output is correct
63 Correct 71 ms 1500 KB Output is correct
64 Correct 69 ms 1536 KB Output is correct
65 Correct 65 ms 1484 KB Output is correct
66 Correct 69 ms 1648 KB Output is correct
67 Correct 66 ms 1524 KB Output is correct
68 Correct 69 ms 1484 KB Output is correct
69 Correct 69 ms 1512 KB Output is correct
70 Correct 68 ms 1520 KB Output is correct
71 Correct 6 ms 468 KB Output is correct
72 Correct 7 ms 468 KB Output is correct
73 Correct 7 ms 548 KB Output is correct
74 Correct 6 ms 552 KB Output is correct
75 Correct 7 ms 500 KB Output is correct
76 Correct 12 ms 656 KB Output is correct
77 Correct 12 ms 748 KB Output is correct
78 Correct 12 ms 668 KB Output is correct
79 Correct 12 ms 756 KB Output is correct
80 Correct 12 ms 724 KB Output is correct
81 Correct 23 ms 1156 KB Output is correct
82 Correct 24 ms 1100 KB Output is correct
83 Correct 23 ms 1132 KB Output is correct
84 Correct 24 ms 1172 KB Output is correct
85 Correct 23 ms 1108 KB Output is correct
86 Correct 22 ms 1108 KB Output is correct
87 Correct 24 ms 1232 KB Output is correct
88 Correct 22 ms 1220 KB Output is correct
89 Correct 22 ms 1196 KB Output is correct
90 Correct 22 ms 1208 KB Output is correct
91 Correct 27 ms 1816 KB Output is correct
92 Correct 29 ms 1788 KB Output is correct
93 Correct 30 ms 1884 KB Output is correct
94 Correct 28 ms 1912 KB Output is correct
95 Correct 28 ms 1796 KB Output is correct
96 Correct 28 ms 2204 KB Output is correct
97 Correct 28 ms 2192 KB Output is correct
98 Correct 28 ms 2244 KB Output is correct
99 Correct 28 ms 2292 KB Output is correct
100 Correct 28 ms 2260 KB Output is correct
101 Correct 30 ms 2272 KB Output is correct
102 Correct 29 ms 2284 KB Output is correct
103 Correct 28 ms 2260 KB Output is correct
104 Correct 28 ms 2200 KB Output is correct
105 Correct 29 ms 2220 KB Output is correct
106 Correct 28 ms 2388 KB Output is correct
107 Correct 26 ms 2428 KB Output is correct
108 Correct 27 ms 2412 KB Output is correct
109 Correct 28 ms 2388 KB Output is correct
110 Correct 26 ms 2456 KB Output is correct
111 Correct 26 ms 2408 KB Output is correct
112 Correct 27 ms 2488 KB Output is correct
113 Correct 26 ms 2388 KB Output is correct
114 Correct 27 ms 2352 KB Output is correct
115 Correct 27 ms 2384 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 19 ms 724 KB Output is correct
15 Correct 27 ms 1236 KB Output is correct
16 Correct 46 ms 1492 KB Output is correct
17 Correct 40 ms 1512 KB Output is correct
18 Correct 47 ms 1492 KB Output is correct
19 Correct 43 ms 1492 KB Output is correct
20 Correct 41 ms 1492 KB Output is correct
21 Correct 44 ms 1468 KB Output is correct
22 Correct 48 ms 1392 KB Output is correct
23 Correct 46 ms 1496 KB Output is correct
24 Correct 42 ms 1492 KB Output is correct
25 Correct 42 ms 1440 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 18 ms 724 KB Output is correct
30 Correct 45 ms 1108 KB Output is correct
31 Correct 52 ms 1504 KB Output is correct
32 Correct 55 ms 1492 KB Output is correct
33 Correct 51 ms 1452 KB Output is correct
34 Correct 54 ms 1496 KB Output is correct
35 Correct 57 ms 1496 KB Output is correct
36 Correct 57 ms 1504 KB Output is correct
37 Correct 52 ms 1492 KB Output is correct
38 Correct 51 ms 1460 KB Output is correct
39 Correct 54 ms 1492 KB Output is correct
40 Correct 56 ms 1492 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 2 ms 340 KB Output is correct
45 Correct 3 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 10 ms 544 KB Output is correct
48 Correct 7 ms 552 KB Output is correct
49 Correct 23 ms 724 KB Output is correct
50 Correct 43 ms 1104 KB Output is correct
51 Correct 70 ms 1524 KB Output is correct
52 Correct 67 ms 1528 KB Output is correct
53 Correct 71 ms 1524 KB Output is correct
54 Correct 68 ms 1516 KB Output is correct
55 Correct 70 ms 1524 KB Output is correct
56 Correct 66 ms 1504 KB Output is correct
57 Correct 67 ms 1508 KB Output is correct
58 Correct 67 ms 1516 KB Output is correct
59 Correct 68 ms 1524 KB Output is correct
60 Correct 68 ms 1508 KB Output is correct
61 Correct 67 ms 1612 KB Output is correct
62 Correct 65 ms 1544 KB Output is correct
63 Correct 71 ms 1500 KB Output is correct
64 Correct 69 ms 1536 KB Output is correct
65 Correct 65 ms 1484 KB Output is correct
66 Correct 69 ms 1648 KB Output is correct
67 Correct 66 ms 1524 KB Output is correct
68 Correct 69 ms 1484 KB Output is correct
69 Correct 69 ms 1512 KB Output is correct
70 Correct 68 ms 1520 KB Output is correct
71 Correct 6 ms 468 KB Output is correct
72 Correct 7 ms 468 KB Output is correct
73 Correct 7 ms 548 KB Output is correct
74 Correct 6 ms 552 KB Output is correct
75 Correct 7 ms 500 KB Output is correct
76 Correct 12 ms 656 KB Output is correct
77 Correct 12 ms 748 KB Output is correct
78 Correct 12 ms 668 KB Output is correct
79 Correct 12 ms 756 KB Output is correct
80 Correct 12 ms 724 KB Output is correct
81 Correct 23 ms 1156 KB Output is correct
82 Correct 24 ms 1100 KB Output is correct
83 Correct 23 ms 1132 KB Output is correct
84 Correct 24 ms 1172 KB Output is correct
85 Correct 23 ms 1108 KB Output is correct
86 Correct 22 ms 1108 KB Output is correct
87 Correct 24 ms 1232 KB Output is correct
88 Correct 22 ms 1220 KB Output is correct
89 Correct 22 ms 1196 KB Output is correct
90 Correct 22 ms 1208 KB Output is correct
91 Correct 27 ms 1816 KB Output is correct
92 Correct 29 ms 1788 KB Output is correct
93 Correct 30 ms 1884 KB Output is correct
94 Correct 28 ms 1912 KB Output is correct
95 Correct 28 ms 1796 KB Output is correct
96 Correct 28 ms 2204 KB Output is correct
97 Correct 28 ms 2192 KB Output is correct
98 Correct 28 ms 2244 KB Output is correct
99 Correct 28 ms 2292 KB Output is correct
100 Correct 28 ms 2260 KB Output is correct
101 Correct 30 ms 2272 KB Output is correct
102 Correct 29 ms 2284 KB Output is correct
103 Correct 28 ms 2260 KB Output is correct
104 Correct 28 ms 2200 KB Output is correct
105 Correct 29 ms 2220 KB Output is correct
106 Correct 28 ms 2388 KB Output is correct
107 Correct 26 ms 2428 KB Output is correct
108 Correct 27 ms 2412 KB Output is correct
109 Correct 28 ms 2388 KB Output is correct
110 Correct 26 ms 2456 KB Output is correct
111 Correct 26 ms 2408 KB Output is correct
112 Correct 27 ms 2488 KB Output is correct
113 Correct 26 ms 2388 KB Output is correct
114 Correct 27 ms 2352 KB Output is correct
115 Correct 27 ms 2384 KB Output is correct
116 Correct 3129 ms 1860 KB Output is correct
117 Correct 2894 ms 1864 KB Output is correct
118 Correct 4357 ms 2144 KB Output is correct
119 Correct 2840 ms 2148 KB Output is correct
120 Correct 1949 ms 2264 KB Output is correct
121 Correct 3384 ms 2352 KB Output is correct
122 Correct 2389 ms 2468 KB Output is correct
123 Execution timed out 7045 ms 2152 KB Time limit exceeded
124 Halted 0 ms 0 KB -