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Submission #861715

# Submission time Handle Problem Language Result Execution time Memory
861715 2023-10-16T17:33:43 Z Dec0Dedd Bigger segments (IZhO19_segments) C++14
100 / 100
 214 ms 102992 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pii;

const int N = 5e5+10;
const int K = 20;
const ll INF = 1e18;

ll a[N], p[N], x[N], lg[N], st[K][N], dp[N], n;

ll que(int l, int r) {
    int i=lg[l-r+1];
    return min(st[i][l], st[i][r+(1<<i)-1]);
}

int main() {
    cin>>n;
    for (int i=1; i<=n; ++i) cin>>a[i], p[i]=p[i-1]+a[i];

    lg[1]=0;
    for (int i=2; i<N; ++i) lg[i]=lg[i/2]+1;

    for (int i=1; i<=n; ++i) {
        for (int j=0; j<K; ++j) st[j][i]=INF;
    }

    for (int j=1; j<K; ++j) st[j][1]=0;
    st[0][1]=2*p[1], dp[1]=1, x[1]=2*p[1];
    for (int i=2; i<=n; ++i) {
        int l=1, r=i-1, res=0;
        while (l <= r) {
            int m=(l+r)/2;
            if (que(i-1, m) <= p[i]) l=m+1, res=m;
            else r=m-1;
        } x[i]=p[i]-p[res]+p[i];
        dp[i]=dp[res]+1;

        st[0][i]=x[i];
        for (int j=1; j<K; ++j) {
            st[j][i]=min(st[j-1][i], i-(1<<(j-1)) >= 0 ? st[j-1][i-(1<<(j-1))] : 0);
        }
    }

    cout<<dp[n]<<"\n";
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 49500 KB Output is correct
2 Correct 5 ms 49596 KB Output is correct
3 Correct 5 ms 49500 KB Output is correct
4 Correct 5 ms 49500 KB Output is correct
5 Correct 5 ms 49628 KB Output is correct
6 Correct 5 ms 49500 KB Output is correct
7 Correct 5 ms 49496 KB Output is correct
8 Correct 5 ms 49500 KB Output is correct
9 Correct 5 ms 49636 KB Output is correct
10 Correct 5 ms 49500 KB Output is correct
11 Correct 5 ms 49500 KB Output is correct
12 Correct 5 ms 49500 KB Output is correct
13 Correct 5 ms 49500 KB Output is correct
14 Correct 5 ms 49496 KB Output is correct
15 Correct 5 ms 49500 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 49500 KB Output is correct
2 Correct 5 ms 49596 KB Output is correct
3 Correct 5 ms 49500 KB Output is correct
4 Correct 5 ms 49500 KB Output is correct
5 Correct 5 ms 49628 KB Output is correct
6 Correct 5 ms 49500 KB Output is correct
7 Correct 5 ms 49496 KB Output is correct
8 Correct 5 ms 49500 KB Output is correct
9 Correct 5 ms 49636 KB Output is correct
10 Correct 5 ms 49500 KB Output is correct
11 Correct 5 ms 49500 KB Output is correct
12 Correct 5 ms 49500 KB Output is correct
13 Correct 5 ms 49500 KB Output is correct
14 Correct 5 ms 49496 KB Output is correct
15 Correct 5 ms 49500 KB Output is correct
16 Correct 5 ms 49500 KB Output is correct
17 Correct 5 ms 49596 KB Output is correct
18 Correct 6 ms 49624 KB Output is correct
19 Correct 6 ms 49500 KB Output is correct
20 Correct 5 ms 49596 KB Output is correct
21 Correct 5 ms 49500 KB Output is correct
22 Correct 6 ms 49688 KB Output is correct
23 Correct 6 ms 49500 KB Output is correct
24 Correct 5 ms 49596 KB Output is correct
25 Correct 6 ms 49496 KB Output is correct
26 Correct 5 ms 49500 KB Output is correct
27 Correct 6 ms 49500 KB Output is correct
28 Correct 5 ms 49500 KB Output is correct
29 Correct 5 ms 49708 KB Output is correct
30 Correct 5 ms 49704 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 49500 KB Output is correct
2 Correct 5 ms 49596 KB Output is correct
3 Correct 5 ms 49500 KB Output is correct
4 Correct 5 ms 49500 KB Output is correct
5 Correct 5 ms 49628 KB Output is correct
6 Correct 5 ms 49500 KB Output is correct
7 Correct 5 ms 49496 KB Output is correct
8 Correct 5 ms 49500 KB Output is correct
9 Correct 5 ms 49636 KB Output is correct
10 Correct 5 ms 49500 KB Output is correct
11 Correct 5 ms 49500 KB Output is correct
12 Correct 5 ms 49500 KB Output is correct
13 Correct 5 ms 49500 KB Output is correct
14 Correct 5 ms 49496 KB Output is correct
15 Correct 5 ms 49500 KB Output is correct
16 Correct 5 ms 49500 KB Output is correct
17 Correct 5 ms 49596 KB Output is correct
18 Correct 6 ms 49624 KB Output is correct
19 Correct 6 ms 49500 KB Output is correct
20 Correct 5 ms 49596 KB Output is correct
21 Correct 5 ms 49500 KB Output is correct
22 Correct 6 ms 49688 KB Output is correct
23 Correct 6 ms 49500 KB Output is correct
24 Correct 5 ms 49596 KB Output is correct
25 Correct 6 ms 49496 KB Output is correct
26 Correct 5 ms 49500 KB Output is correct
27 Correct 6 ms 49500 KB Output is correct
28 Correct 5 ms 49500 KB Output is correct
29 Correct 5 ms 49708 KB Output is correct
30 Correct 5 ms 49704 KB Output is correct
31 Correct 6 ms 49752 KB Output is correct
32 Correct 7 ms 49608 KB Output is correct
33 Correct 6 ms 49756 KB Output is correct
34 Correct 6 ms 49752 KB Output is correct
35 Correct 6 ms 49756 KB Output is correct
36 Correct 6 ms 49652 KB Output is correct
37 Correct 6 ms 49756 KB Output is correct
38 Correct 6 ms 49500 KB Output is correct
39 Correct 6 ms 49612 KB Output is correct
40 Correct 6 ms 49684 KB Output is correct
41 Correct 6 ms 49768 KB Output is correct
42 Correct 6 ms 49768 KB Output is correct
43 Correct 6 ms 49664 KB Output is correct
44 Correct 6 ms 49764 KB Output is correct
45 Correct 6 ms 49752 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 49500 KB Output is correct
2 Correct 5 ms 49596 KB Output is correct
3 Correct 5 ms 49500 KB Output is correct
4 Correct 5 ms 49500 KB Output is correct
5 Correct 5 ms 49628 KB Output is correct
6 Correct 5 ms 49500 KB Output is correct
7 Correct 5 ms 49496 KB Output is correct
8 Correct 5 ms 49500 KB Output is correct
9 Correct 5 ms 49636 KB Output is correct
10 Correct 5 ms 49500 KB Output is correct
11 Correct 5 ms 49500 KB Output is correct
12 Correct 5 ms 49500 KB Output is correct
13 Correct 5 ms 49500 KB Output is correct
14 Correct 5 ms 49496 KB Output is correct
15 Correct 5 ms 49500 KB Output is correct
16 Correct 5 ms 49500 KB Output is correct
17 Correct 5 ms 49596 KB Output is correct
18 Correct 6 ms 49624 KB Output is correct
19 Correct 6 ms 49500 KB Output is correct
20 Correct 5 ms 49596 KB Output is correct
21 Correct 5 ms 49500 KB Output is correct
22 Correct 6 ms 49688 KB Output is correct
23 Correct 6 ms 49500 KB Output is correct
24 Correct 5 ms 49596 KB Output is correct
25 Correct 6 ms 49496 KB Output is correct
26 Correct 5 ms 49500 KB Output is correct
27 Correct 6 ms 49500 KB Output is correct
28 Correct 5 ms 49500 KB Output is correct
29 Correct 5 ms 49708 KB Output is correct
30 Correct 5 ms 49704 KB Output is correct
31 Correct 6 ms 49752 KB Output is correct
32 Correct 7 ms 49608 KB Output is correct
33 Correct 6 ms 49756 KB Output is correct
34 Correct 6 ms 49752 KB Output is correct
35 Correct 6 ms 49756 KB Output is correct
36 Correct 6 ms 49652 KB Output is correct
37 Correct 6 ms 49756 KB Output is correct
38 Correct 6 ms 49500 KB Output is correct
39 Correct 6 ms 49612 KB Output is correct
40 Correct 6 ms 49684 KB Output is correct
41 Correct 6 ms 49768 KB Output is correct
42 Correct 6 ms 49768 KB Output is correct
43 Correct 6 ms 49664 KB Output is correct
44 Correct 6 ms 49764 KB Output is correct
45 Correct 6 ms 49752 KB Output is correct
46 Correct 31 ms 73040 KB Output is correct
47 Correct 37 ms 73552 KB Output is correct
48 Correct 39 ms 73500 KB Output is correct
49 Correct 49 ms 73572 KB Output is correct
50 Correct 43 ms 73816 KB Output is correct
51 Correct 43 ms 73820 KB Output is correct
52 Correct 24 ms 60752 KB Output is correct
53 Correct 16 ms 56408 KB Output is correct
54 Correct 27 ms 73040 KB Output is correct
55 Correct 50 ms 73636 KB Output is correct
56 Correct 32 ms 73560 KB Output is correct
57 Correct 34 ms 73044 KB Output is correct
58 Correct 37 ms 73296 KB Output is correct
59 Correct 34 ms 73300 KB Output is correct
60 Correct 35 ms 73308 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 49500 KB Output is correct
2 Correct 5 ms 49596 KB Output is correct
3 Correct 5 ms 49500 KB Output is correct
4 Correct 5 ms 49500 KB Output is correct
5 Correct 5 ms 49628 KB Output is correct
6 Correct 5 ms 49500 KB Output is correct
7 Correct 5 ms 49496 KB Output is correct
8 Correct 5 ms 49500 KB Output is correct
9 Correct 5 ms 49636 KB Output is correct
10 Correct 5 ms 49500 KB Output is correct
11 Correct 5 ms 49500 KB Output is correct
12 Correct 5 ms 49500 KB Output is correct
13 Correct 5 ms 49500 KB Output is correct
14 Correct 5 ms 49496 KB Output is correct
15 Correct 5 ms 49500 KB Output is correct
16 Correct 5 ms 49500 KB Output is correct
17 Correct 5 ms 49596 KB Output is correct
18 Correct 6 ms 49624 KB Output is correct
19 Correct 6 ms 49500 KB Output is correct
20 Correct 5 ms 49596 KB Output is correct
21 Correct 5 ms 49500 KB Output is correct
22 Correct 6 ms 49688 KB Output is correct
23 Correct 6 ms 49500 KB Output is correct
24 Correct 5 ms 49596 KB Output is correct
25 Correct 6 ms 49496 KB Output is correct
26 Correct 5 ms 49500 KB Output is correct
27 Correct 6 ms 49500 KB Output is correct
28 Correct 5 ms 49500 KB Output is correct
29 Correct 5 ms 49708 KB Output is correct
30 Correct 5 ms 49704 KB Output is correct
31 Correct 6 ms 49752 KB Output is correct
32 Correct 7 ms 49608 KB Output is correct
33 Correct 6 ms 49756 KB Output is correct
34 Correct 6 ms 49752 KB Output is correct
35 Correct 6 ms 49756 KB Output is correct
36 Correct 6 ms 49652 KB Output is correct
37 Correct 6 ms 49756 KB Output is correct
38 Correct 6 ms 49500 KB Output is correct
39 Correct 6 ms 49612 KB Output is correct
40 Correct 6 ms 49684 KB Output is correct
41 Correct 6 ms 49768 KB Output is correct
42 Correct 6 ms 49768 KB Output is correct
43 Correct 6 ms 49664 KB Output is correct
44 Correct 6 ms 49764 KB Output is correct
45 Correct 6 ms 49752 KB Output is correct
46 Correct 31 ms 73040 KB Output is correct
47 Correct 37 ms 73552 KB Output is correct
48 Correct 39 ms 73500 KB Output is correct
49 Correct 49 ms 73572 KB Output is correct
50 Correct 43 ms 73816 KB Output is correct
51 Correct 43 ms 73820 KB Output is correct
52 Correct 24 ms 60752 KB Output is correct
53 Correct 16 ms 56408 KB Output is correct
54 Correct 27 ms 73040 KB Output is correct
55 Correct 50 ms 73636 KB Output is correct
56 Correct 32 ms 73560 KB Output is correct
57 Correct 34 ms 73044 KB Output is correct
58 Correct 37 ms 73296 KB Output is correct
59 Correct 34 ms 73300 KB Output is correct
60 Correct 35 ms 73308 KB Output is correct
61 Correct 145 ms 100084 KB Output is correct
62 Correct 144 ms 100212 KB Output is correct
63 Correct 166 ms 100800 KB Output is correct
64 Correct 194 ms 102736 KB Output is correct
65 Correct 199 ms 102992 KB Output is correct
66 Correct 214 ms 102960 KB Output is correct
67 Correct 175 ms 100512 KB Output is correct
68 Correct 86 ms 93264 KB Output is correct
69 Correct 124 ms 99180 KB Output is correct
70 Correct 204 ms 102992 KB Output is correct
71 Correct 137 ms 100180 KB Output is correct
72 Correct 154 ms 100472 KB Output is correct
73 Correct 162 ms 101128 KB Output is correct
74 Correct 165 ms 101460 KB Output is correct
75 Correct 167 ms 101460 KB Output is correct