Submission #651149

# Submission time Handle Problem Language Result Execution time Memory
651149 2022-10-17T12:28:10 Z alvinpiter Hacker (BOI15_hac) C++14
100 / 100
405 ms 22300 KB
/*
Observations:
* Player takes ceil(n/2) computers, system takes floor(n/2) computers.
* Computers taken by either the player or the system form a subarray.
* After the player choose the first computer, the system can control which computers will end up for the player.
  The system can do so by "copying" player's move.

With the above observation, we will take the maximum of the minimum sum of values in a segment involving the i-th computer.
*/

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

int main() {
  int n, a[1000003], psum[1000003], ans;

  cin >> n;

  for (int i = 0; i < n; i++) {
    cin >> a[i];
    a[i + n] = a[i];
  }

  psum[0] = a[0];
  for (int i = 1; i < 2 * n; i++) {
    psum[i] = psum[i - 1] + a[i];
  }

  int cntTakenByPlayer = n/2 + n%2;

  multiset<int> segmentSums;

  ans = 0;
  for (int i = 0; i + cntTakenByPlayer - 1 < 2 * n; i++) {
    segmentSums.insert(psum[i + cntTakenByPlayer - 1] - (i == 0 ? 0 : psum[i - 1]));
    if (i >= cntTakenByPlayer) {
      int sumEndingAtPreviousIdx = psum[i - 1] - (i - 1 - cntTakenByPlayer >= 0 ? psum[i - 1 - cntTakenByPlayer] : 0);
      segmentSums.erase(segmentSums.find(sumEndingAtPreviousIdx));
    }

    // This is important, so we don't take the wrong minimums.
    // The minimums of the segments involving the earlier values will be handled in the later iterations.
    if (i >= cntTakenByPlayer - 1) {
      ans = max(ans, *(segmentSums.begin()));
    }
  }

  cout << ans << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 8020 KB Output is correct
2 Correct 3 ms 8020 KB Output is correct
3 Correct 4 ms 8068 KB Output is correct
4 Correct 3 ms 8020 KB Output is correct
5 Correct 4 ms 8020 KB Output is correct
6 Correct 4 ms 8020 KB Output is correct
7 Correct 4 ms 8020 KB Output is correct
8 Correct 4 ms 8020 KB Output is correct
9 Correct 4 ms 8020 KB Output is correct
10 Correct 4 ms 8124 KB Output is correct
11 Correct 4 ms 8020 KB Output is correct
12 Correct 4 ms 8020 KB Output is correct
13 Correct 4 ms 8020 KB Output is correct
14 Correct 3 ms 8020 KB Output is correct
15 Correct 4 ms 8020 KB Output is correct
16 Correct 3 ms 8020 KB Output is correct
17 Correct 4 ms 8020 KB Output is correct
18 Correct 4 ms 8020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 8020 KB Output is correct
2 Correct 3 ms 8020 KB Output is correct
3 Correct 4 ms 8068 KB Output is correct
4 Correct 3 ms 8020 KB Output is correct
5 Correct 4 ms 8020 KB Output is correct
6 Correct 4 ms 8020 KB Output is correct
7 Correct 4 ms 8020 KB Output is correct
8 Correct 4 ms 8020 KB Output is correct
9 Correct 4 ms 8020 KB Output is correct
10 Correct 4 ms 8124 KB Output is correct
11 Correct 4 ms 8020 KB Output is correct
12 Correct 4 ms 8020 KB Output is correct
13 Correct 4 ms 8020 KB Output is correct
14 Correct 3 ms 8020 KB Output is correct
15 Correct 4 ms 8020 KB Output is correct
16 Correct 3 ms 8020 KB Output is correct
17 Correct 4 ms 8020 KB Output is correct
18 Correct 4 ms 8020 KB Output is correct
19 Correct 4 ms 8020 KB Output is correct
20 Correct 4 ms 8148 KB Output is correct
21 Correct 4 ms 8148 KB Output is correct
22 Correct 5 ms 8148 KB Output is correct
23 Correct 6 ms 8148 KB Output is correct
24 Correct 5 ms 8148 KB Output is correct
25 Correct 7 ms 8140 KB Output is correct
26 Correct 6 ms 8224 KB Output is correct
27 Correct 5 ms 8148 KB Output is correct
28 Correct 4 ms 8020 KB Output is correct
29 Correct 4 ms 8020 KB Output is correct
30 Correct 6 ms 8136 KB Output is correct
31 Correct 6 ms 8148 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8020 KB Output is correct
2 Correct 4 ms 8016 KB Output is correct
3 Correct 7 ms 8148 KB Output is correct
4 Correct 44 ms 10252 KB Output is correct
5 Correct 127 ms 13468 KB Output is correct
6 Correct 164 ms 15012 KB Output is correct
7 Correct 183 ms 16516 KB Output is correct
8 Correct 400 ms 21964 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 8020 KB Output is correct
2 Correct 3 ms 8020 KB Output is correct
3 Correct 4 ms 8068 KB Output is correct
4 Correct 3 ms 8020 KB Output is correct
5 Correct 4 ms 8020 KB Output is correct
6 Correct 4 ms 8020 KB Output is correct
7 Correct 4 ms 8020 KB Output is correct
8 Correct 4 ms 8020 KB Output is correct
9 Correct 4 ms 8020 KB Output is correct
10 Correct 4 ms 8124 KB Output is correct
11 Correct 4 ms 8020 KB Output is correct
12 Correct 4 ms 8020 KB Output is correct
13 Correct 4 ms 8020 KB Output is correct
14 Correct 3 ms 8020 KB Output is correct
15 Correct 4 ms 8020 KB Output is correct
16 Correct 3 ms 8020 KB Output is correct
17 Correct 4 ms 8020 KB Output is correct
18 Correct 4 ms 8020 KB Output is correct
19 Correct 4 ms 8020 KB Output is correct
20 Correct 4 ms 8148 KB Output is correct
21 Correct 4 ms 8148 KB Output is correct
22 Correct 5 ms 8148 KB Output is correct
23 Correct 6 ms 8148 KB Output is correct
24 Correct 5 ms 8148 KB Output is correct
25 Correct 7 ms 8140 KB Output is correct
26 Correct 6 ms 8224 KB Output is correct
27 Correct 5 ms 8148 KB Output is correct
28 Correct 4 ms 8020 KB Output is correct
29 Correct 4 ms 8020 KB Output is correct
30 Correct 6 ms 8136 KB Output is correct
31 Correct 6 ms 8148 KB Output is correct
32 Correct 3 ms 8020 KB Output is correct
33 Correct 4 ms 8016 KB Output is correct
34 Correct 7 ms 8148 KB Output is correct
35 Correct 44 ms 10252 KB Output is correct
36 Correct 127 ms 13468 KB Output is correct
37 Correct 164 ms 15012 KB Output is correct
38 Correct 183 ms 16516 KB Output is correct
39 Correct 400 ms 21964 KB Output is correct
40 Correct 8 ms 8404 KB Output is correct
41 Correct 14 ms 8588 KB Output is correct
42 Correct 19 ms 9032 KB Output is correct
43 Correct 126 ms 13584 KB Output is correct
44 Correct 346 ms 21964 KB Output is correct
45 Correct 54 ms 10792 KB Output is correct
46 Correct 188 ms 16452 KB Output is correct
47 Correct 405 ms 21916 KB Output is correct
48 Correct 308 ms 22300 KB Output is correct
49 Correct 257 ms 21528 KB Output is correct
50 Correct 254 ms 21424 KB Output is correct