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Submission #545353

# Submission time Handle Problem Language Result Execution time Memory
545353 2022-04-04T10:39:51 Z Trisanu_Das Mountains (NOI20_mountains) C++17
100 / 100
 466 ms 45948 KB 
#include<bits/stdc++.h>
using namespace std;
struct node{
	int s, e, m, cnt;
	node *l, *r;
	node(int _s, int _e): s(_s), e(_e), m((_s+_e)/2), cnt(0){
		if(s == e) return;
		l = new node(s, m);
		r = new node(m+1, e);
	}
	void update(int x, int v){
		cnt += v;
		if(s == e) return;
		if(x <= m) l->update(x, v);
		else r->update(x, v);
	}
	int query(int x, int y){
		if(x <= s && y >= e) return cnt;
		int ret = 0;
		if(x <= m) ret += l->query(x, y);
		if(y >= m+1) ret += r->query(x, y);
		return ret;
	}
	void clear(){
		cnt = 0;
		if(s == e) return;
		l->clear();
		r->clear();
	}
};

long long leftof[300001], rightof[300001];
pair<long long, int> distinctArr[300001];
int cnt = 1;
long long solve(int n, long long H[]){
	for(int i = 1; i <= n; i++) distinctArr[i] = {H[i], i};
	sort(distinctArr + 1, distinctArr + n + 1);

	for(int i = 1; i <= n; i++){
		if (i > 1 && distinctArr[i].first != distinctArr[i-1].first) cnt++;
		H[distinctArr[i].second] = cnt;
	}
	
	node *root = new node(0, n);
	for(int i = 1; i <= n; i++){
		leftof[i] = root->query(0, H[i] - 1);
		root->update(H[i], 1);
	}
	
	root->clear();
	for(int i = n; i > 0; i--){
		rightof[i] = root->query(0, H[i] - 1);
		root->update(H[i], 1);
	}
	
	long long total = 0;
	for(int i = 1; i <= n; i++){
		total += leftof[i] * rightof[i];
	}
	
	return total;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	int n;
	long long H[300001];
	cin >> n;
	for(int i = 1; i <= n; i++) cin >> H[i];
	long long total = solve(n, H);
	cout << total;
	return 0;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2676 KB Output is correct
2 Correct 186 ms 45652 KB Output is correct
3 Correct 190 ms 45872 KB Output is correct
4 Correct 188 ms 45672 KB Output is correct
5 Correct 185 ms 45680 KB Output is correct
6 Correct 191 ms 45808 KB Output is correct
7 Correct 191 ms 45900 KB Output is correct
8 Correct 186 ms 45776 KB Output is correct
9 Correct 193 ms 45788 KB Output is correct
10 Correct 190 ms 45800 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 152 ms 40756 KB Output is correct
2 Correct 164 ms 40848 KB Output is correct
3 Correct 157 ms 40760 KB Output is correct
4 Correct 155 ms 40760 KB Output is correct
5 Correct 154 ms 40812 KB Output is correct
6 Correct 156 ms 40908 KB Output is correct
7 Correct 152 ms 40780 KB Output is correct
8 Correct 137 ms 40752 KB Output is correct
9 Correct 134 ms 40728 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 152 ms 40756 KB Output is correct
2 Correct 164 ms 40848 KB Output is correct
3 Correct 157 ms 40760 KB Output is correct
4 Correct 155 ms 40760 KB Output is correct
5 Correct 154 ms 40812 KB Output is correct
6 Correct 156 ms 40908 KB Output is correct
7 Correct 152 ms 40780 KB Output is correct
8 Correct 137 ms 40752 KB Output is correct
9 Correct 134 ms 40728 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 181 ms 40964 KB Output is correct
12 Correct 185 ms 41076 KB Output is correct
13 Correct 181 ms 40980 KB Output is correct
14 Correct 179 ms 41036 KB Output is correct
15 Correct 182 ms 41064 KB Output is correct
16 Correct 177 ms 41080 KB Output is correct
17 Correct 176 ms 41036 KB Output is correct
18 Correct 134 ms 41056 KB Output is correct
19 Correct 134 ms 41008 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct

Subtask #4
36.0 / 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 2680 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 1 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 #5
28.0 / 28.0

# 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 2680 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 1 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 9 ms 4180 KB Output is correct
12 Correct 10 ms 4104 KB Output is correct
13 Correct 9 ms 4064 KB Output is correct
14 Correct 9 ms 4012 KB Output is correct
15 Correct 9 ms 4016 KB Output is correct
16 Correct 10 ms 4012 KB Output is correct
17 Correct 9 ms 4052 KB Output is correct
18 Correct 8 ms 4052 KB Output is correct
19 Correct 7 ms 3972 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 152 ms 40756 KB Output is correct
2 Correct 164 ms 40848 KB Output is correct
3 Correct 157 ms 40760 KB Output is correct
4 Correct 155 ms 40760 KB Output is correct
5 Correct 154 ms 40812 KB Output is correct
6 Correct 156 ms 40908 KB Output is correct
7 Correct 152 ms 40780 KB Output is correct
8 Correct 137 ms 40752 KB Output is correct
9 Correct 134 ms 40728 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 181 ms 40964 KB Output is correct
12 Correct 185 ms 41076 KB Output is correct
13 Correct 181 ms 40980 KB Output is correct
14 Correct 179 ms 41036 KB Output is correct
15 Correct 182 ms 41064 KB Output is correct
16 Correct 177 ms 41080 KB Output is correct
17 Correct 176 ms 41036 KB Output is correct
18 Correct 134 ms 41056 KB Output is correct
19 Correct 134 ms 41008 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct
21 Correct 300 ms 42064 KB Output is correct
22 Correct 304 ms 41860 KB Output is correct
23 Correct 294 ms 41944 KB Output is correct
24 Correct 304 ms 41908 KB Output is correct
25 Correct 295 ms 41936 KB Output is correct
26 Correct 325 ms 41908 KB Output is correct
27 Correct 327 ms 42004 KB Output is correct
28 Correct 159 ms 41932 KB Output is correct
29 Correct 156 ms 41956 KB Output is correct
30 Correct 1 ms 2644 KB Output is correct

Subtask #7
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2676 KB Output is correct
2 Correct 186 ms 45652 KB Output is correct
3 Correct 190 ms 45872 KB Output is correct
4 Correct 188 ms 45672 KB Output is correct
5 Correct 185 ms 45680 KB Output is correct
6 Correct 191 ms 45808 KB Output is correct
7 Correct 191 ms 45900 KB Output is correct
8 Correct 186 ms 45776 KB Output is correct
9 Correct 193 ms 45788 KB Output is correct
10 Correct 190 ms 45800 KB Output is correct
11 Correct 152 ms 40756 KB Output is correct
12 Correct 164 ms 40848 KB Output is correct
13 Correct 157 ms 40760 KB Output is correct
14 Correct 155 ms 40760 KB Output is correct
15 Correct 154 ms 40812 KB Output is correct
16 Correct 156 ms 40908 KB Output is correct
17 Correct 152 ms 40780 KB Output is correct
18 Correct 137 ms 40752 KB Output is correct
19 Correct 134 ms 40728 KB Output is correct
20 Correct 1 ms 2644 KB Output is correct
21 Correct 181 ms 40964 KB Output is correct
22 Correct 185 ms 41076 KB Output is correct
23 Correct 181 ms 40980 KB Output is correct
24 Correct 179 ms 41036 KB Output is correct
25 Correct 182 ms 41064 KB Output is correct
26 Correct 177 ms 41080 KB Output is correct
27 Correct 176 ms 41036 KB Output is correct
28 Correct 134 ms 41056 KB Output is correct
29 Correct 134 ms 41008 KB Output is correct
30 Correct 1 ms 2644 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 2680 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 2 ms 2772 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 1 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 9 ms 4180 KB Output is correct
42 Correct 10 ms 4104 KB Output is correct
43 Correct 9 ms 4064 KB Output is correct
44 Correct 9 ms 4012 KB Output is correct
45 Correct 9 ms 4016 KB Output is correct
46 Correct 10 ms 4012 KB Output is correct
47 Correct 9 ms 4052 KB Output is correct
48 Correct 8 ms 4052 KB Output is correct
49 Correct 7 ms 3972 KB Output is correct
50 Correct 1 ms 2644 KB Output is correct
51 Correct 300 ms 42064 KB Output is correct
52 Correct 304 ms 41860 KB Output is correct
53 Correct 294 ms 41944 KB Output is correct
54 Correct 304 ms 41908 KB Output is correct
55 Correct 295 ms 41936 KB Output is correct
56 Correct 325 ms 41908 KB Output is correct
57 Correct 327 ms 42004 KB Output is correct
58 Correct 159 ms 41932 KB Output is correct
59 Correct 156 ms 41956 KB Output is correct
60 Correct 1 ms 2644 KB Output is correct
61 Correct 448 ms 45756 KB Output is correct
62 Correct 434 ms 45768 KB Output is correct
63 Correct 436 ms 45788 KB Output is correct
64 Correct 427 ms 45772 KB Output is correct
65 Correct 433 ms 45724 KB Output is correct
66 Correct 436 ms 45768 KB Output is correct
67 Correct 466 ms 45776 KB Output is correct
68 Correct 380 ms 45948 KB Output is correct
69 Correct 337 ms 42100 KB Output is correct
70 Correct 1 ms 2644 KB Output is correct