Submission #173045

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
173045	2020-01-03T08:13:56 Z	LinusTorvaldsFan	Bigger segments (IZhO19_segments)	C++14	100 / 100	917 ms	25208 KB

segments

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const int Q=1<<19;
ll tree[2*Q];

ll inf;

void update(int p, ll x) {
	p+=Q;
	tree[p]=x;
	p/=2;
	while(p>0){
		tree[p]=min(tree[2*p],tree[2*p+1]);
		p/=2;
	}
}


ll get(int l, int r) {
	ll ans=inf;
	for(l+=Q,r+=Q;l<r;l>>=1,r>>=1){
		if(l&1)ans=min(ans,tree[l++]);
		if(r&1)ans=min(ans,tree[--r]);
	}
	return ans;
}

int main() {
	memset(tree,60,sizeof(tree));
	inf=tree[0];
	//cout<<inf<<endl;
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int n;
	cin>>n;
	vector<int>a(n);
	for(int i=0;i<n;i++)cin>>a[i];
	
	vector<ll>pr(n+1);
	for(int i=0;i<n;i++)pr[i+1]=pr[i]+a[i];
	vector<int>ans(n);
	vector<ll> ans_sum(n);
	ll sum=0;
	for(int i=0;i<n;i++){
		sum+=a[i];
		ans_sum[i]=sum;
		ans[i]=1;
	}
	update(0,ans_sum[0]+pr[1]);
	for(int i=1;i<n;i++){
		if(i>=100){
		int L=0,R=i;
		while(R-L>1){
			int M=(L+R)/2;
			if(get(M,i)<=pr[i+1]){
				L=M;
			} else {
				R=M;
			}
		}
		
		if(pr[i+1]>=ans_sum[L]+pr[L+1]){
			ans[i]=ans[L]+1;
			ans_sum[i]=pr[i+1]-pr[L+1];
		}
		}else{
			for(int j=i-1;j>=0;j--){
			if(pr[i+1]>=ans_sum[j]+pr[j+1]){
				if(ans[i]<ans[j]+1){
					ans[i]=ans[j]+1;
					ans_sum[i]=pr[i+1]-pr[j+1];
					break;
				}
			}
		}
		}
		update(i,ans_sum[i]+pr[i+1]);
	}
	cout<<ans[n-1];
	return 0;
}

Subtask #1
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	8568 KB	Output is correct
2	Correct	9 ms	8568 KB	Output is correct
3	Correct	9 ms	8568 KB	Output is correct
4	Correct	9 ms	8568 KB	Output is correct
5	Correct	9 ms	8540 KB	Output is correct
6	Correct	9 ms	8540 KB	Output is correct
7	Correct	9 ms	8572 KB	Output is correct
8	Correct	9 ms	8568 KB	Output is correct
9	Correct	9 ms	8568 KB	Output is correct
10	Correct	9 ms	8568 KB	Output is correct
11	Correct	9 ms	8568 KB	Output is correct
12	Correct	9 ms	8568 KB	Output is correct
13	Correct	9 ms	8568 KB	Output is correct
14	Correct	9 ms	8568 KB	Output is correct
15	Correct	9 ms	8568 KB	Output is correct

Subtask #2
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	8568 KB	Output is correct
2	Correct	9 ms	8568 KB	Output is correct
3	Correct	9 ms	8568 KB	Output is correct
4	Correct	9 ms	8568 KB	Output is correct
5	Correct	9 ms	8540 KB	Output is correct
6	Correct	9 ms	8540 KB	Output is correct
7	Correct	9 ms	8572 KB	Output is correct
8	Correct	9 ms	8568 KB	Output is correct
9	Correct	9 ms	8568 KB	Output is correct
10	Correct	9 ms	8568 KB	Output is correct
11	Correct	9 ms	8568 KB	Output is correct
12	Correct	9 ms	8568 KB	Output is correct
13	Correct	9 ms	8568 KB	Output is correct
14	Correct	9 ms	8568 KB	Output is correct
15	Correct	9 ms	8568 KB	Output is correct
16	Correct	9 ms	8568 KB	Output is correct
17	Correct	9 ms	8568 KB	Output is correct
18	Correct	9 ms	8568 KB	Output is correct
19	Correct	9 ms	8568 KB	Output is correct
20	Correct	9 ms	8568 KB	Output is correct
21	Correct	9 ms	8568 KB	Output is correct
22	Correct	9 ms	8568 KB	Output is correct
23	Correct	9 ms	8540 KB	Output is correct
24	Correct	9 ms	8568 KB	Output is correct
25	Correct	10 ms	8568 KB	Output is correct
26	Correct	9 ms	8568 KB	Output is correct
27	Correct	9 ms	8568 KB	Output is correct
28	Correct	9 ms	8628 KB	Output is correct
29	Correct	9 ms	8568 KB	Output is correct
30	Correct	9 ms	8568 KB	Output is correct

Subtask #3
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	8568 KB	Output is correct
2	Correct	9 ms	8568 KB	Output is correct
3	Correct	9 ms	8568 KB	Output is correct
4	Correct	9 ms	8568 KB	Output is correct
5	Correct	9 ms	8540 KB	Output is correct
6	Correct	9 ms	8540 KB	Output is correct
7	Correct	9 ms	8572 KB	Output is correct
8	Correct	9 ms	8568 KB	Output is correct
9	Correct	9 ms	8568 KB	Output is correct
10	Correct	9 ms	8568 KB	Output is correct
11	Correct	9 ms	8568 KB	Output is correct
12	Correct	9 ms	8568 KB	Output is correct
13	Correct	9 ms	8568 KB	Output is correct
14	Correct	9 ms	8568 KB	Output is correct
15	Correct	9 ms	8568 KB	Output is correct
16	Correct	9 ms	8568 KB	Output is correct
17	Correct	9 ms	8568 KB	Output is correct
18	Correct	9 ms	8568 KB	Output is correct
19	Correct	9 ms	8568 KB	Output is correct
20	Correct	9 ms	8568 KB	Output is correct
21	Correct	9 ms	8568 KB	Output is correct
22	Correct	9 ms	8568 KB	Output is correct
23	Correct	9 ms	8540 KB	Output is correct
24	Correct	9 ms	8568 KB	Output is correct
25	Correct	10 ms	8568 KB	Output is correct
26	Correct	9 ms	8568 KB	Output is correct
27	Correct	9 ms	8568 KB	Output is correct
28	Correct	9 ms	8628 KB	Output is correct
29	Correct	9 ms	8568 KB	Output is correct
30	Correct	9 ms	8568 KB	Output is correct
31	Correct	11 ms	8696 KB	Output is correct
32	Correct	12 ms	8696 KB	Output is correct
33	Correct	11 ms	8572 KB	Output is correct
34	Correct	11 ms	8696 KB	Output is correct
35	Correct	11 ms	8568 KB	Output is correct
36	Correct	11 ms	8568 KB	Output is correct
37	Correct	11 ms	8572 KB	Output is correct
38	Correct	11 ms	8568 KB	Output is correct
39	Correct	11 ms	8696 KB	Output is correct
40	Correct	11 ms	8568 KB	Output is correct
41	Correct	11 ms	8592 KB	Output is correct
42	Correct	11 ms	8568 KB	Output is correct
43	Correct	11 ms	8568 KB	Output is correct
44	Correct	11 ms	8568 KB	Output is correct
45	Correct	11 ms	8696 KB	Output is correct

Subtask #4
36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	8568 KB	Output is correct
2	Correct	9 ms	8568 KB	Output is correct
3	Correct	9 ms	8568 KB	Output is correct
4	Correct	9 ms	8568 KB	Output is correct
5	Correct	9 ms	8540 KB	Output is correct
6	Correct	9 ms	8540 KB	Output is correct
7	Correct	9 ms	8572 KB	Output is correct
8	Correct	9 ms	8568 KB	Output is correct
9	Correct	9 ms	8568 KB	Output is correct
10	Correct	9 ms	8568 KB	Output is correct
11	Correct	9 ms	8568 KB	Output is correct
12	Correct	9 ms	8568 KB	Output is correct
13	Correct	9 ms	8568 KB	Output is correct
14	Correct	9 ms	8568 KB	Output is correct
15	Correct	9 ms	8568 KB	Output is correct
16	Correct	9 ms	8568 KB	Output is correct
17	Correct	9 ms	8568 KB	Output is correct
18	Correct	9 ms	8568 KB	Output is correct
19	Correct	9 ms	8568 KB	Output is correct
20	Correct	9 ms	8568 KB	Output is correct
21	Correct	9 ms	8568 KB	Output is correct
22	Correct	9 ms	8568 KB	Output is correct
23	Correct	9 ms	8540 KB	Output is correct
24	Correct	9 ms	8568 KB	Output is correct
25	Correct	10 ms	8568 KB	Output is correct
26	Correct	9 ms	8568 KB	Output is correct
27	Correct	9 ms	8568 KB	Output is correct
28	Correct	9 ms	8628 KB	Output is correct
29	Correct	9 ms	8568 KB	Output is correct
30	Correct	9 ms	8568 KB	Output is correct
31	Correct	11 ms	8696 KB	Output is correct
32	Correct	12 ms	8696 KB	Output is correct
33	Correct	11 ms	8572 KB	Output is correct
34	Correct	11 ms	8696 KB	Output is correct
35	Correct	11 ms	8568 KB	Output is correct
36	Correct	11 ms	8568 KB	Output is correct
37	Correct	11 ms	8572 KB	Output is correct
38	Correct	11 ms	8568 KB	Output is correct
39	Correct	11 ms	8696 KB	Output is correct
40	Correct	11 ms	8568 KB	Output is correct
41	Correct	11 ms	8592 KB	Output is correct
42	Correct	11 ms	8568 KB	Output is correct
43	Correct	11 ms	8568 KB	Output is correct
44	Correct	11 ms	8568 KB	Output is correct
45	Correct	11 ms	8696 KB	Output is correct
46	Correct	147 ms	10960 KB	Output is correct
47	Correct	153 ms	10972 KB	Output is correct
48	Correct	130 ms	10876 KB	Output is correct
49	Correct	117 ms	10872 KB	Output is correct
50	Correct	113 ms	11000 KB	Output is correct
51	Correct	142 ms	10872 KB	Output is correct
52	Correct	70 ms	9720 KB	Output is correct
53	Correct	44 ms	9336 KB	Output is correct
54	Correct	134 ms	10960 KB	Output is correct
55	Correct	142 ms	10872 KB	Output is correct
56	Correct	107 ms	11000 KB	Output is correct
57	Correct	128 ms	10872 KB	Output is correct
58	Correct	125 ms	10956 KB	Output is correct
59	Correct	108 ms	10872 KB	Output is correct
60	Correct	121 ms	10872 KB	Output is correct

Subtask #5
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	8568 KB	Output is correct
2	Correct	9 ms	8568 KB	Output is correct
3	Correct	9 ms	8568 KB	Output is correct
4	Correct	9 ms	8568 KB	Output is correct
5	Correct	9 ms	8540 KB	Output is correct
6	Correct	9 ms	8540 KB	Output is correct
7	Correct	9 ms	8572 KB	Output is correct
8	Correct	9 ms	8568 KB	Output is correct
9	Correct	9 ms	8568 KB	Output is correct
10	Correct	9 ms	8568 KB	Output is correct
11	Correct	9 ms	8568 KB	Output is correct
12	Correct	9 ms	8568 KB	Output is correct
13	Correct	9 ms	8568 KB	Output is correct
14	Correct	9 ms	8568 KB	Output is correct
15	Correct	9 ms	8568 KB	Output is correct
16	Correct	9 ms	8568 KB	Output is correct
17	Correct	9 ms	8568 KB	Output is correct
18	Correct	9 ms	8568 KB	Output is correct
19	Correct	9 ms	8568 KB	Output is correct
20	Correct	9 ms	8568 KB	Output is correct
21	Correct	9 ms	8568 KB	Output is correct
22	Correct	9 ms	8568 KB	Output is correct
23	Correct	9 ms	8540 KB	Output is correct
24	Correct	9 ms	8568 KB	Output is correct
25	Correct	10 ms	8568 KB	Output is correct
26	Correct	9 ms	8568 KB	Output is correct
27	Correct	9 ms	8568 KB	Output is correct
28	Correct	9 ms	8628 KB	Output is correct
29	Correct	9 ms	8568 KB	Output is correct
30	Correct	9 ms	8568 KB	Output is correct
31	Correct	11 ms	8696 KB	Output is correct
32	Correct	12 ms	8696 KB	Output is correct
33	Correct	11 ms	8572 KB	Output is correct
34	Correct	11 ms	8696 KB	Output is correct
35	Correct	11 ms	8568 KB	Output is correct
36	Correct	11 ms	8568 KB	Output is correct
37	Correct	11 ms	8572 KB	Output is correct
38	Correct	11 ms	8568 KB	Output is correct
39	Correct	11 ms	8696 KB	Output is correct
40	Correct	11 ms	8568 KB	Output is correct
41	Correct	11 ms	8592 KB	Output is correct
42	Correct	11 ms	8568 KB	Output is correct
43	Correct	11 ms	8568 KB	Output is correct
44	Correct	11 ms	8568 KB	Output is correct
45	Correct	11 ms	8696 KB	Output is correct
46	Correct	147 ms	10960 KB	Output is correct
47	Correct	153 ms	10972 KB	Output is correct
48	Correct	130 ms	10876 KB	Output is correct
49	Correct	117 ms	10872 KB	Output is correct
50	Correct	113 ms	11000 KB	Output is correct
51	Correct	142 ms	10872 KB	Output is correct
52	Correct	70 ms	9720 KB	Output is correct
53	Correct	44 ms	9336 KB	Output is correct
54	Correct	134 ms	10960 KB	Output is correct
55	Correct	142 ms	10872 KB	Output is correct
56	Correct	107 ms	11000 KB	Output is correct
57	Correct	128 ms	10872 KB	Output is correct
58	Correct	125 ms	10956 KB	Output is correct
59	Correct	108 ms	10872 KB	Output is correct
60	Correct	121 ms	10872 KB	Output is correct
61	Correct	853 ms	20348 KB	Output is correct
62	Correct	897 ms	20344 KB	Output is correct
63	Correct	917 ms	20352 KB	Output is correct
64	Correct	665 ms	24888 KB	Output is correct
65	Correct	652 ms	25132 KB	Output is correct
66	Correct	825 ms	25080 KB	Output is correct
67	Correct	639 ms	21796 KB	Output is correct
68	Correct	302 ms	15224 KB	Output is correct
69	Correct	790 ms	21496 KB	Output is correct
70	Correct	819 ms	25208 KB	Output is correct
71	Correct	623 ms	22264 KB	Output is correct
72	Correct	762 ms	22648 KB	Output is correct
73	Correct	674 ms	23416 KB	Output is correct
74	Correct	634 ms	23672 KB	Output is correct
75	Correct	657 ms	23852 KB	Output is correct

Submission #173045

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 14.0 / 14.0

Subtask #3 10.0 / 10.0

Subtask #4 36.0 / 36.0

Subtask #5 27.0 / 27.0

Subtask #1
13.0 / 13.0

Subtask #2
14.0 / 14.0

Subtask #3
10.0 / 10.0

Subtask #4
36.0 / 36.0

Subtask #5
27.0 / 27.0