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Submission #653013

# Submission time Handle Problem Language Result Execution time Memory
653013 2022-10-25T11:58:04 Z vladutpiele Bigger segments (IZhO19_segments) C++17
100 / 100
 287 ms 20788 KB 
#include <bits/stdc++.h>

#define int long long

using namespace std;

const int nmax = 500000;

int n;
int v[nmax + 5], sume[nmax + 5];

struct elem
{
    int maxSeg; /// in cate segmente impart prefixul [1 ... i]
    int maxPrv; /// capatul stanga al ultimului segment
};

elem dp[nmax + 5];

void update(int a,int b)
{
    if(dp[a].maxSeg < dp[b].maxSeg)
    {
        dp[a] = dp[b];
    }
    else
    {
        if(dp[a].maxSeg == dp[b].maxSeg && dp[a].maxPrv < dp[b].maxPrv)
        {
            dp[a] = dp[b];
        }
    }
}

signed main()
{
    cin >> n;
    for(int i = 1; i <= n; i ++)
    {
        cin >> v[i];
        sume[i] = sume[i - 1] + v[i];
    }
    dp[1].maxSeg = 1;
    dp[1].maxPrv = 1;
    for(int i = 1; i <= n; i ++)
    {
        update(i, i - 1);
        int st = i + 1, dr = n;
        int pozmin = n + 1;
        while(st <= dr)
        {
            int mid = (st + dr) >> 1;
            int S = sume[mid] - sume[i];
            if(S >= sume[i] - sume[dp[i].maxPrv - 1])
            {
                pozmin = mid;
                dr = mid - 1;
            }
            else
            {
                st = mid + 1;
            }
        }
        if(pozmin <= n)
        {
            dp[n + 1].maxSeg = dp[i].maxSeg + 1;
            dp[n + 1].maxPrv = i + 1;
            update(pozmin, n + 1);
        }
    }
    cout << dp[n].maxSeg << '\n';
    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 308 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 308 KB Output is correct
27 Correct 1 ms 304 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 304 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 308 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 308 KB Output is correct
27 Correct 1 ms 304 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 304 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 2 ms 448 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 1 ms 360 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 2 ms 308 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 2 ms 344 KB Output is correct
45 Correct 1 ms 348 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 308 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 308 KB Output is correct
27 Correct 1 ms 304 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 304 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 2 ms 448 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 1 ms 360 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 2 ms 308 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 2 ms 344 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 24 ms 3804 KB Output is correct
47 Correct 28 ms 3860 KB Output is correct
48 Correct 37 ms 4136 KB Output is correct
49 Correct 38 ms 4288 KB Output is correct
50 Correct 42 ms 4300 KB Output is correct
51 Correct 47 ms 4400 KB Output is correct
52 Correct 23 ms 2280 KB Output is correct
53 Correct 13 ms 1552 KB Output is correct
54 Correct 20 ms 3636 KB Output is correct
55 Correct 40 ms 4344 KB Output is correct
56 Correct 27 ms 3788 KB Output is correct
57 Correct 27 ms 3812 KB Output is correct
58 Correct 26 ms 3800 KB Output is correct
59 Correct 30 ms 3912 KB Output is correct
60 Correct 28 ms 3944 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 308 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 308 KB Output is correct
27 Correct 1 ms 304 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 304 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 2 ms 340 KB Output is correct
36 Correct 2 ms 448 KB Output is correct
37 Correct 2 ms 340 KB Output is correct
38 Correct 1 ms 360 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 2 ms 308 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 2 ms 344 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 24 ms 3804 KB Output is correct
47 Correct 28 ms 3860 KB Output is correct
48 Correct 37 ms 4136 KB Output is correct
49 Correct 38 ms 4288 KB Output is correct
50 Correct 42 ms 4300 KB Output is correct
51 Correct 47 ms 4400 KB Output is correct
52 Correct 23 ms 2280 KB Output is correct
53 Correct 13 ms 1552 KB Output is correct
54 Correct 20 ms 3636 KB Output is correct
55 Correct 40 ms 4344 KB Output is correct
56 Correct 27 ms 3788 KB Output is correct
57 Correct 27 ms 3812 KB Output is correct
58 Correct 26 ms 3800 KB Output is correct
59 Correct 30 ms 3912 KB Output is correct
60 Correct 28 ms 3944 KB Output is correct
61 Correct 125 ms 17952 KB Output is correct
62 Correct 122 ms 17828 KB Output is correct
63 Correct 140 ms 18220 KB Output is correct
64 Correct 192 ms 20452 KB Output is correct
65 Correct 201 ms 20788 KB Output is correct
66 Correct 287 ms 20676 KB Output is correct
67 Correct 166 ms 16624 KB Output is correct
68 Correct 88 ms 8532 KB Output is correct
69 Correct 97 ms 16956 KB Output is correct
70 Correct 208 ms 20700 KB Output is correct
71 Correct 112 ms 17852 KB Output is correct
72 Correct 135 ms 18232 KB Output is correct
73 Correct 141 ms 18816 KB Output is correct
74 Correct 150 ms 19220 KB Output is correct
75 Correct 159 ms 19248 KB Output is correct