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Submission #501660

# Submission time Handle Problem Language Result Execution time Memory
501660 2022-01-04T09:23:08 Z LucaIlie Bigger segments (IZhO19_segments) C++17
100 / 100
 228 ms 18844 KB 
#include <iostream>

using namespace std;

#define MAX_N 1000000

struct DP {
    int segm;
    long long suma;
};

int v[MAX_N + 1];
long long sp[MAX_N + 1];
DP dp[MAX_N + 1];

int main() {
    int n, st, dr, mij, i, j;

    cin >> n;
    for ( i = 1; i <= n; i++ ) {
        cin >> v[i];
        sp[i] = sp[i - 1] + v[i];
    }

    dp[0] = { 1, 0 };
    j = 1;
    for ( i = 1; i <= n; i++ ) {
        if ( dp[i - 1].segm > dp[i].segm )
            dp[i] = { dp[i - 1].segm, dp[i - 1].suma + v[i] };
        else if ( dp[i - 1].segm == dp[i].segm ) {
            if ( dp[i - 1].suma + v[i] < dp[i].suma )
                dp[i].suma = dp[i - 1].suma + v[i];
        }

        if  ( i < n ) {
            st = i;
            dr = n;
            while ( dr - st > 1 ) {
                mij = (st + dr) / 2;

                if ( sp[mij] - sp[i] < dp[i].suma )
                    st = mij;
                else
                    dr = mij;
            }

            j = dr;
            if ( sp[j] - sp[i] >= dp[i].suma ) {
                if ( dp[i].segm + 1 > dp[j].segm )
                    dp[j] = { dp[i].segm + 1, sp[j] - sp[i] };
                else if ( dp[i].segm + 1 == dp[j].segm ) {
                    if ( sp[j] - sp[i] < dp[j].suma )
                        dp[j].suma = sp[j] - sp[i];
                }
            }
        }
    }

    cout << dp[n].segm;

    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 0 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 332 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 332 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 0 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 332 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 2 ms 304 KB Output is correct
36 Correct 2 ms 332 KB Output is correct
37 Correct 2 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 2 ms 332 KB Output is correct
40 Correct 2 ms 332 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 0 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 332 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 2 ms 304 KB Output is correct
36 Correct 2 ms 332 KB Output is correct
37 Correct 2 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 2 ms 332 KB Output is correct
40 Correct 2 ms 332 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 26 ms 3020 KB Output is correct
47 Correct 32 ms 2948 KB Output is correct
48 Correct 41 ms 2968 KB Output is correct
49 Correct 43 ms 3012 KB Output is correct
50 Correct 46 ms 3004 KB Output is correct
51 Correct 44 ms 2972 KB Output is correct
52 Correct 22 ms 1620 KB Output is correct
53 Correct 15 ms 1088 KB Output is correct
54 Correct 27 ms 2992 KB Output is correct
55 Correct 45 ms 3012 KB Output is correct
56 Correct 29 ms 3000 KB Output is correct
57 Correct 26 ms 2976 KB Output is correct
58 Correct 30 ms 2940 KB Output is correct
59 Correct 31 ms 2924 KB Output is correct
60 Correct 32 ms 2948 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 0 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 332 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 2 ms 304 KB Output is correct
36 Correct 2 ms 332 KB Output is correct
37 Correct 2 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 2 ms 332 KB Output is correct
40 Correct 2 ms 332 KB Output is correct
41 Correct 2 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 26 ms 3020 KB Output is correct
47 Correct 32 ms 2948 KB Output is correct
48 Correct 41 ms 2968 KB Output is correct
49 Correct 43 ms 3012 KB Output is correct
50 Correct 46 ms 3004 KB Output is correct
51 Correct 44 ms 2972 KB Output is correct
52 Correct 22 ms 1620 KB Output is correct
53 Correct 15 ms 1088 KB Output is correct
54 Correct 27 ms 2992 KB Output is correct
55 Correct 45 ms 3012 KB Output is correct
56 Correct 29 ms 3000 KB Output is correct
57 Correct 26 ms 2976 KB Output is correct
58 Correct 30 ms 2940 KB Output is correct
59 Correct 31 ms 2924 KB Output is correct
60 Correct 32 ms 2948 KB Output is correct
61 Correct 139 ms 15256 KB Output is correct
62 Correct 172 ms 15896 KB Output is correct
63 Correct 151 ms 16392 KB Output is correct
64 Correct 218 ms 18500 KB Output is correct
65 Correct 220 ms 18740 KB Output is correct
66 Correct 228 ms 18804 KB Output is correct
67 Correct 183 ms 15064 KB Output is correct
68 Correct 89 ms 7660 KB Output is correct
69 Correct 117 ms 15044 KB Output is correct
70 Correct 224 ms 18844 KB Output is correct
71 Correct 146 ms 15980 KB Output is correct
72 Correct 152 ms 16320 KB Output is correct
73 Correct 176 ms 16956 KB Output is correct
74 Correct 179 ms 17328 KB Output is correct
75 Correct 174 ms 17268 KB Output is correct