oj.uz

Submission #226394

# Submission time Handle Problem Language Result Execution time Memory
226394 2020-04-23T17:10:10 Z AQT Palembang Bridges (APIO15_bridge) C++14
100 / 100
 180 ms 9100 KB 
// Problem : 
// 
// 
// Contest : DMOJ
// URL : https://dmoj.ca/problem/apio15p3
// Memory Limit : 256 MB
// Time Limit : 1000 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)

#include <bits/stdc++.h>

using namespace std;

struct FenwickTree{
	long long bit[200005];
	int N;
	void upd(int n, int v){
		while(n <= N){
			bit[n] += v;
			n += n&-n;
		}
	}
	long long query(int n){
		long long ret = 0;
		while(n){
			ret += bit[n];
			n -= n&-n;
		}
		return ret;
	}
	int clmb(long long t){
		int ret = 0;
		long long sum = 0;
		for(int d = 17; d>=0; d--){
			if(ret+(1<<d) <= N && bit[ret+(1<<d)] + sum < t){
				sum += bit[ret+(1<<d)];
				ret += (1<<d);
			}
		}
		return ret+1;
	}
	void clr(){
		fill(bit, bit+1+N, 0);
	}
};

int T, N;
pair<int, int> arr[100005];
vector<int> cmp;
FenwickTree cnt, sum;
long long pre[100005], suf[100005];

int getidx(int n){
	return lower_bound(cmp.begin(), cmp.end(), n) - cmp.begin() + 1;
}

int main(){
	cin.sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> T >> N;
	long long c = 0;
	int idx = 0;
	for(int i =1 ; i<=N; i++){
		char a, b;
		int A, B;
		cin >> a >> A >> b >> B;
		if(a == b){
			c += abs(A-B);
		}
		else{
			c++;
			if(A > B){
				swap(A, B);
			}
			cmp.push_back(A);
			cmp.push_back(B);
			arr[++idx] = {A, B};
		}
	}
	N = idx;
	sort(arr+1, arr+1+N, [](pair<int, int> a, pair<int, int> b){
		return a.first+a.second < b.first+b.second;
		}
	);
	sort(cmp.begin(), cmp.end());
	cmp.erase(unique(cmp.begin(), cmp.end()), cmp.end());
	sum.N = cnt.N = cmp.size();
	for(int i = 1; i<=N; i++){
		int a = getidx(arr[i].first), b = getidx(arr[i].second);
		cnt.upd(a, 1);
		cnt.upd(b, 1);
		sum.upd(a, arr[i].first);
		sum.upd(b, arr[i].second);
		int idx = cnt.clmb(i);
		long long pos = cmp[idx-1];
		pre[i] = pos*(cnt.query(idx)) - sum.query(idx);
		pre[i] += sum.query(sum.N) - sum.query(idx) - pos*(2*i-cnt.query(idx));
	}
	sum.clr();
	cnt.clr();
	for(int i = N; i; i--){
		int a = getidx(arr[i].first), b = getidx(arr[i].second);
		cnt.upd(a, 1);
		cnt.upd(b, 1);
		sum.upd(a, arr[i].first);
		sum.upd(b, arr[i].second);
		int idx = cnt.clmb(N-i+1);
		long long pos = cmp[idx-1];
		suf[i] = pos*(cnt.query(idx)) - sum.query(idx);
		suf[i] += sum.query(sum.N) - sum.query(idx) - pos*(2*(N-i+1)-cnt.query(idx)); 
	}
	long long out = pre[N];
	if(T == 2){
		for(int i = 0; i<=N; i++){
			out = min(pre[i] + suf[i+1], out);
		}
	}
	cout << out+c << "\n";
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 6 ms 512 KB Output is correct
5 Correct 6 ms 512 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 6 ms 512 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 512 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 432 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 6 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 512 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 6 ms 512 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 38 ms 4472 KB Output is correct
13 Correct 179 ms 9072 KB Output is correct
14 Correct 105 ms 4848 KB Output is correct
15 Correct 100 ms 5616 KB Output is correct
16 Correct 44 ms 5232 KB Output is correct
17 Correct 116 ms 9068 KB Output is correct
18 Correct 116 ms 8684 KB Output is correct
19 Correct 135 ms 9068 KB Output is correct
20 Correct 50 ms 5616 KB Output is correct
21 Correct 126 ms 8816 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 5 ms 512 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 6 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
21 Correct 5 ms 512 KB Output is correct
22 Correct 6 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 37 ms 4464 KB Output is correct
26 Correct 64 ms 4592 KB Output is correct
27 Correct 167 ms 8176 KB Output is correct
28 Correct 180 ms 9072 KB Output is correct
29 Correct 174 ms 9072 KB Output is correct
30 Correct 90 ms 5108 KB Output is correct
31 Correct 45 ms 5232 KB Output is correct
32 Correct 115 ms 9100 KB Output is correct
33 Correct 114 ms 8656 KB Output is correct
34 Correct 135 ms 8920 KB Output is correct
35 Correct 48 ms 5488 KB Output is correct
36 Correct 123 ms 8820 KB Output is correct
37 Correct 37 ms 4464 KB Output is correct