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Submission #331546

# Submission time Handle Problem Language Result Execution time Memory
331546 2020-11-28T21:16:42 Z limabeans Bigger segments (IZhO19_segments) C++17
100 / 100
 87 ms 18924 KB 
#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;
const ll inf = 1e18;


const int maxn = 5e5 + 10;



int n;
ll a[maxn];
ll pre[maxn];
ll dp[maxn];
int pos[maxn];

ll qry(int l, int r) {
    assert(l<=r);
    return pre[r]-pre[l-1];
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    cin>>n;
    for (int i=1; i<=n; i++) {
	cin>>a[i];
    }

    for (int i=1; i<=n; i++) {
	pre[i]=pre[i-1]+a[i];
    }

    for (int i=1; i<=n; i++) {
	pos[i]=max(pos[i],pos[i-1]);
	dp[i]=1+dp[pos[i]];

	int lo=i;
	int hi=n+1;
	int p=-1;
	while (hi-lo>1) {
	    int mid=(lo+hi)/2;
	    if (qry(pos[i]+1,i)<=qry(i+1,mid)) {
		hi=mid;
		p=mid;
	    } else {
		lo=mid;
	    }
	}
	if (~p) {
	    pos[p]=i;
	}
    }

    cout<<dp[n]<<endl;  
    return 0;
}

Subtask #1
13.0 / 13.0

# 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 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #2
14.0 / 14.0

# 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 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 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 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct

Subtask #3
10.0 / 10.0

# 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 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 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 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 2 ms 492 KB Output is correct
35 Correct 1 ms 492 KB Output is correct
36 Correct 1 ms 620 KB Output is correct
37 Correct 2 ms 480 KB Output is correct
38 Correct 1 ms 492 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 1 ms 492 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 492 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct

Subtask #4
36.0 / 36.0

# 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 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 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 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 2 ms 492 KB Output is correct
35 Correct 1 ms 492 KB Output is correct
36 Correct 1 ms 620 KB Output is correct
37 Correct 2 ms 480 KB Output is correct
38 Correct 1 ms 492 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 1 ms 492 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 492 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct
46 Correct 13 ms 3180 KB Output is correct
47 Correct 15 ms 3180 KB Output is correct
48 Correct 16 ms 3228 KB Output is correct
49 Correct 23 ms 3180 KB Output is correct
50 Correct 18 ms 3180 KB Output is correct
51 Correct 17 ms 3180 KB Output is correct
52 Correct 9 ms 1900 KB Output is correct
53 Correct 6 ms 1260 KB Output is correct
54 Correct 13 ms 3180 KB Output is correct
55 Correct 16 ms 3180 KB Output is correct
56 Correct 13 ms 3180 KB Output is correct
57 Correct 13 ms 3180 KB Output is correct
58 Correct 14 ms 3308 KB Output is correct
59 Correct 15 ms 3308 KB Output is correct
60 Correct 14 ms 3180 KB Output is correct

Subtask #5
27.0 / 27.0

# 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 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 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 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 2 ms 492 KB Output is correct
35 Correct 1 ms 492 KB Output is correct
36 Correct 1 ms 620 KB Output is correct
37 Correct 2 ms 480 KB Output is correct
38 Correct 1 ms 492 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 1 ms 492 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 492 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct
46 Correct 13 ms 3180 KB Output is correct
47 Correct 15 ms 3180 KB Output is correct
48 Correct 16 ms 3228 KB Output is correct
49 Correct 23 ms 3180 KB Output is correct
50 Correct 18 ms 3180 KB Output is correct
51 Correct 17 ms 3180 KB Output is correct
52 Correct 9 ms 1900 KB Output is correct
53 Correct 6 ms 1260 KB Output is correct
54 Correct 13 ms 3180 KB Output is correct
55 Correct 16 ms 3180 KB Output is correct
56 Correct 13 ms 3180 KB Output is correct
57 Correct 13 ms 3180 KB Output is correct
58 Correct 14 ms 3308 KB Output is correct
59 Correct 15 ms 3308 KB Output is correct
60 Correct 14 ms 3180 KB Output is correct
61 Correct 67 ms 14188 KB Output is correct
62 Correct 78 ms 14188 KB Output is correct
63 Correct 81 ms 16364 KB Output is correct
64 Correct 86 ms 18540 KB Output is correct
65 Correct 84 ms 18924 KB Output is correct
66 Correct 87 ms 18924 KB Output is correct
67 Correct 72 ms 15212 KB Output is correct
68 Correct 35 ms 7788 KB Output is correct
69 Correct 62 ms 15084 KB Output is correct
70 Correct 85 ms 18924 KB Output is correct
71 Correct 62 ms 15980 KB Output is correct
72 Correct 70 ms 16364 KB Output is correct
73 Correct 72 ms 17004 KB Output is correct
74 Correct 69 ms 17388 KB Output is correct
75 Correct 69 ms 17468 KB Output is correct