oj.uz

Submission #208873

# Submission time Handle Problem Language Result Execution time Memory
208873 2020-03-12T11:27:31 Z rama_pang The Big Prize (IOI17_prize) C++14
100 / 100
 58 ms 836 KB 
#include "prize.h"

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

map<int, pair<int, int>> memo;
vector<int> query(int i) {
  vector<int> res;
  if (memo.count(i)) {
    res.emplace_back(memo[i].first);
    res.emplace_back(memo[i].second);
  } else {
    res = ask(i);
    memo[i] = {res[0], res[1]};
  }
  return res;
}

int numValuable;
vector<int> candidates; // non-lollipop boxes

void binarySearch(int leftValuable, int rightValuable, int left, int right) {
  if (left > right || leftValuable + rightValuable == numValuable) {
    return;
  }

  int mid = (left + right) / 2;
  vector<int> res = query(mid);
  
  if (res[0] + res[1] == numValuable) { // mid is a lollipop box
    binarySearch(leftValuable, res[1], left, mid - 1);
    binarySearch(res[0], rightValuable, mid + 1, right);
  } else { // mid is a non-lollipop box
    candidates.emplace_back(mid);
    int nearestLeft, nearestRight;

    for (int i = mid + 1; i <= right; i++) {
      res = query(i);
      if (res[0] + res[1] == numValuable) {
        nearestRight = i;
        binarySearch(query(nearestRight)[0], rightValuable, nearestRight + 1, right);
        break;
      } else { // i is a non-lollipop box
        candidates.emplace_back(i);
      }
    }

    for (int i = mid - 1; i >= left; i--) {
      res = query(i);
      if (res[0] + res[1] == numValuable) {
        nearestLeft = i;
        binarySearch(leftValuable, query(nearestLeft)[1], left, nearestLeft - 1);
        break;
      } else { // i is a non-lollipop box
        candidates.emplace_back(i);
      }
    }
  }
}

int find_best(int n) {
  numValuable = 0;
  for (int i = 0; i < min(n, 500); i++) { // least valuable box must satisfy sum^2 <= n, and since n <= 200000 then sum <= 500 will suffice
    vector<int> res = query(i);
    if (res[0] + res[1] > numValuable) {
      numValuable = res[0] + res[1];
    } 
    if (numValuable > 30) { // second least valuable box must satisfy (sum^2)^2 <= n, and since n <= 200000 then sum <= 30 will suffice
      break; // we will only check at most one least valuable box, the rest will be valuable and checked later anyways
    }
  }

  binarySearch(0, 0, 0, n - 1);

  int ans = -1;
  for (auto &c : candidates) {
    vector<int> res = query(c);
    if (res[0] == 0 && res[1] == 0) {
      ans = c;
    }
  }

  return ans;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 248 KB Output is correct
2 Correct 9 ms 376 KB Output is correct
3 Correct 7 ms 376 KB Output is correct
4 Correct 9 ms 248 KB Output is correct
5 Correct 10 ms 248 KB Output is correct
6 Correct 7 ms 400 KB Output is correct
7 Correct 10 ms 248 KB Output is correct
8 Correct 9 ms 308 KB Output is correct
9 Correct 9 ms 248 KB Output is correct
10 Correct 12 ms 248 KB Output is correct

Subtask #2
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 316 KB Output is correct
2 Correct 9 ms 248 KB Output is correct
3 Correct 7 ms 400 KB Output is correct
4 Correct 9 ms 248 KB Output is correct
5 Correct 10 ms 248 KB Output is correct
6 Correct 9 ms 380 KB Output is correct
7 Correct 10 ms 248 KB Output is correct
8 Correct 10 ms 248 KB Output is correct
9 Correct 7 ms 400 KB Output is correct
10 Correct 10 ms 248 KB Output is correct
11 Correct 7 ms 400 KB Output is correct
12 Correct 9 ms 376 KB Output is correct
13 Correct 9 ms 248 KB Output is correct
14 Correct 15 ms 376 KB Output is correct
15 Correct 46 ms 632 KB Output is correct
16 Correct 44 ms 504 KB Output is correct
17 Correct 49 ms 524 KB Output is correct
18 Correct 41 ms 504 KB Output is correct
19 Correct 44 ms 504 KB Output is correct
20 Correct 37 ms 504 KB Output is correct
21 Correct 56 ms 604 KB Output is correct
22 Correct 35 ms 504 KB Output is correct
23 Correct 11 ms 248 KB Output is correct
24 Correct 9 ms 248 KB Output is correct
25 Correct 49 ms 560 KB Output is correct
26 Correct 46 ms 504 KB Output is correct
27 Correct 11 ms 248 KB Output is correct
28 Correct 42 ms 632 KB Output is correct
29 Correct 24 ms 608 KB Output is correct
30 Correct 48 ms 632 KB Output is correct
31 Correct 30 ms 668 KB Output is correct
32 Correct 7 ms 528 KB Output is correct
33 Correct 5 ms 248 KB Output is correct
34 Correct 44 ms 504 KB Output is correct
35 Correct 12 ms 300 KB Output is correct
36 Correct 43 ms 632 KB Output is correct
37 Correct 9 ms 376 KB Output is correct
38 Correct 11 ms 248 KB Output is correct
39 Correct 46 ms 632 KB Output is correct
40 Correct 37 ms 632 KB Output is correct
41 Correct 51 ms 564 KB Output is correct
42 Correct 48 ms 564 KB Output is correct
43 Correct 41 ms 632 KB Output is correct
44 Correct 52 ms 504 KB Output is correct
45 Correct 27 ms 588 KB Output is correct
46 Correct 46 ms 508 KB Output is correct
47 Correct 45 ms 632 KB Output is correct
48 Correct 45 ms 504 KB Output is correct
49 Correct 51 ms 564 KB Output is correct
50 Correct 45 ms 780 KB Output is correct
51 Correct 30 ms 668 KB Output is correct
52 Correct 44 ms 604 KB Output is correct
53 Correct 14 ms 248 KB Output is correct
54 Correct 46 ms 836 KB Output is correct
55 Correct 49 ms 508 KB Output is correct
56 Correct 39 ms 564 KB Output is correct
57 Correct 44 ms 504 KB Output is correct
58 Correct 58 ms 504 KB Output is correct
59 Correct 46 ms 556 KB Output is correct
60 Correct 42 ms 512 KB Output is correct
61 Correct 10 ms 248 KB Output is correct
62 Correct 8 ms 348 KB Output is correct
63 Correct 11 ms 376 KB Output is correct
64 Correct 11 ms 248 KB Output is correct
65 Correct 5 ms 248 KB Output is correct
66 Correct 9 ms 248 KB Output is correct
67 Correct 9 ms 248 KB Output is correct
68 Correct 9 ms 248 KB Output is correct
69 Correct 7 ms 400 KB Output is correct
70 Correct 7 ms 252 KB Output is correct
71 Correct 50 ms 632 KB Output is correct
72 Correct 10 ms 248 KB Output is correct
73 Correct 50 ms 548 KB Output is correct
74 Correct 51 ms 504 KB Output is correct
75 Correct 11 ms 408 KB Output is correct
76 Correct 42 ms 632 KB Output is correct
77 Correct 48 ms 584 KB Output is correct
78 Correct 9 ms 248 KB Output is correct
79 Correct 33 ms 376 KB Output is correct
80 Correct 50 ms 632 KB Output is correct
81 Correct 49 ms 504 KB Output is correct
82 Correct 44 ms 504 KB Output is correct
83 Correct 11 ms 248 KB Output is correct
84 Correct 44 ms 504 KB Output is correct
85 Correct 51 ms 504 KB Output is correct
86 Correct 10 ms 248 KB Output is correct
87 Correct 5 ms 248 KB Output is correct
88 Correct 9 ms 248 KB Output is correct
89 Correct 10 ms 252 KB Output is correct
90 Correct 10 ms 424 KB Output is correct
91 Correct 7 ms 248 KB Output is correct
92 Correct 10 ms 380 KB Output is correct
93 Correct 12 ms 248 KB Output is correct
94 Correct 15 ms 376 KB Output is correct
95 Correct 12 ms 248 KB Output is correct
96 Correct 11 ms 248 KB Output is correct
97 Correct 10 ms 248 KB Output is correct