Submission #384565

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
384565	2021-04-01T20:52:30 Z	ritul_kr_singh	Divide and conquer (IZhO14_divide)	C++17	100 / 100	38 ms	3436 KB

divide

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define sp << ' ' <<
#define nl << '\n'

signed main(){
	cin.tie(0)->sync_with_stdio(0);

	int n, ans = 0; cin >> n;
	vector<int> a(n+1), b(n+1), c(n+1), d(n+1);
	for(int i=1; i<=n; ++i){
		cin >> c[i] >> b[i] >> a[i];
		ans = max(ans, b[i]);
		a[i] += a[i-1];
		b[i] += b[i-1];
	}
	for(int i=0; i<n; ++i) a[i] -= c[i+1];
	for(int i=0; i<=n; ++i) d[i] = a[i];
	for(int i=1; i<=n; ++i) d[i] = min(d[i], d[i-1]);

	for(int i=1; i<=n; ++i){
		int sub = (i < n ?  c[i+1] : 0LL);
		int low = 0, high = i;
		while(low<high){
			int mid = (low+high)/2;
			if(d[mid] <= a[i] + sub - c[i]) high = mid;
			else low = mid+1;
		}
		ans = max(ans, b[i] - b[low]);
	}
	cout << ans;
}

Subtask #1

17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct

Subtask #2

31.0 / 31.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	2 ms	492 KB	Output is correct
15	Correct	2 ms	364 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	2 ms	364 KB	Output is correct
19	Correct	2 ms	364 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	2 ms	364 KB	Output is correct
22	Correct	2 ms	364 KB	Output is correct
23	Correct	4 ms	492 KB	Output is correct
24	Correct	3 ms	492 KB	Output is correct

Subtask #3

52.0 / 52.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	2 ms	492 KB	Output is correct
15	Correct	2 ms	364 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	2 ms	364 KB	Output is correct
19	Correct	2 ms	364 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	2 ms	364 KB	Output is correct
22	Correct	2 ms	364 KB	Output is correct
23	Correct	4 ms	492 KB	Output is correct
24	Correct	3 ms	492 KB	Output is correct
25	Correct	2 ms	492 KB	Output is correct
26	Correct	4 ms	620 KB	Output is correct
27	Correct	4 ms	620 KB	Output is correct
28	Correct	17 ms	2048 KB	Output is correct
29	Correct	19 ms	1900 KB	Output is correct
30	Correct	38 ms	3436 KB	Output is correct
31	Correct	31 ms	3436 KB	Output is correct
32	Correct	32 ms	3436 KB	Output is correct
33	Correct	31 ms	3436 KB	Output is correct
34	Correct	34 ms	3436 KB	Output is correct
35	Correct	35 ms	3436 KB	Output is correct
36	Correct	36 ms	3436 KB	Output is correct