#include <bits/stdc++.h>
#include "prize.h"
using namespace std;
map<int, vector<int>> ans;
vector<int> query(int x)
{
if (ans.count(x)) return ans[x];
return ans[x] = ask(x);
}
int dc(int ini, int fim, int qMen, int qL, int qR)
{
//Cases in which i don't have to test
if (ini > fim || qL + qR == qMen) return -1;
if (fim - ini <= 1)
{
vector<int> aL = query(ini), aR = query(fim);
if (aL[0]+aL[1] == 0) return ini;
if (aR[0]+aR[1] == 0) return fim;
return -1;
}
if (query(ini) == query(fim)) return -1;
//all of them are expensive
if (fim - ini + 1 == qMen - (qL + qR))
{
for (int i = ini; i <= fim; i++)
{
vector<int> a = query(i);
if (a[0]+a[1] == 0) return i;
}
return -1;
}
//get middle expensive
int mL = (ini+fim)>>1, mR = (ini+fim)>>1;
vector<int> aL, aR;
while (mL >= ini)
{
aL = query(mL);
if (aL[0]+aL[1] == 0) return mL;
if (aL[0]+aL[1] < qMen) --mL;
else break;
}
while (mR <= fim)
{
aR = query(mR);
if (aR[0]+aR[1] == 0) return mR;
if (aR[0]+aR[1] < qMen) ++mR;
else break;
}
//then divide and conquer
int x = dc(mR, fim, qMen, aR[0], qR);
if (x == -1) return dc(ini, mL, qMen, qL, aL[1]);
return x;
}
int find_best(int n)
{
//here to find expensive quantity -> P(expensive) ~ 1/sqrt(N)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
vector<int> ids;
for (int i = 0; i < 10; i++) ids.push_back(uniform_int_distribution<int>(0, n-1)(rng));
vector<vector<int>> possQ;
for (auto x : ids) possQ.push_back(query(x));
int qMen = 1;
for (auto &x : possQ) qMen = max(qMen, x[0]+x[1]);
return dc(0, n-1, qMen, 0, 0);
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
344 KB |
Output is correct |
| 7 |
Correct |
0 ms |
344 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
0 ms |
344 KB |
Output is correct |
| 10 |
Correct |
0 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Correct |
1 ms |
344 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
344 KB |
Output is correct |
| 7 |
Correct |
0 ms |
420 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
0 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
2 ms |
480 KB |
Output is correct |
| 13 |
Correct |
1 ms |
344 KB |
Output is correct |
| 14 |
Correct |
5 ms |
344 KB |
Output is correct |
| 15 |
Correct |
25 ms |
832 KB |
Output is correct |
| 16 |
Correct |
3 ms |
344 KB |
Output is correct |
| 17 |
Correct |
20 ms |
848 KB |
Output is correct |
| 18 |
Correct |
0 ms |
344 KB |
Output is correct |
| 19 |
Correct |
18 ms |
856 KB |
Output is correct |
| 20 |
Correct |
12 ms |
600 KB |
Output is correct |
| 21 |
Correct |
12 ms |
568 KB |
Output is correct |
| 22 |
Correct |
17 ms |
856 KB |
Output is correct |
| 23 |
Correct |
1 ms |
344 KB |
Output is correct |
| 24 |
Correct |
3 ms |
344 KB |
Output is correct |
| 25 |
Correct |
10 ms |
600 KB |
Output is correct |
| 26 |
Correct |
8 ms |
600 KB |
Output is correct |
| 27 |
Correct |
1 ms |
344 KB |
Output is correct |
| 28 |
Correct |
1 ms |
344 KB |
Output is correct |
| 29 |
Correct |
3 ms |
432 KB |
Output is correct |
| 30 |
Correct |
1 ms |
344 KB |
Output is correct |
| 31 |
Correct |
16 ms |
1104 KB |
Output is correct |
| 32 |
Correct |
1 ms |
344 KB |
Output is correct |
| 33 |
Correct |
1 ms |
344 KB |
Output is correct |
| 34 |
Correct |
14 ms |
852 KB |
Output is correct |
| 35 |
Correct |
1 ms |
344 KB |
Output is correct |
| 36 |
Correct |
13 ms |
628 KB |
Output is correct |
| 37 |
Correct |
2 ms |
340 KB |
Output is correct |
| 38 |
Correct |
2 ms |
344 KB |
Output is correct |
| 39 |
Correct |
14 ms |
684 KB |
Output is correct |
| 40 |
Correct |
0 ms |
344 KB |
Output is correct |
| 41 |
Correct |
11 ms |
748 KB |
Output is correct |
| 42 |
Correct |
11 ms |
600 KB |
Output is correct |
| 43 |
Correct |
8 ms |
508 KB |
Output is correct |
| 44 |
Correct |
13 ms |
492 KB |
Output is correct |
| 45 |
Correct |
11 ms |
856 KB |
Output is correct |
| 46 |
Correct |
22 ms |
1044 KB |
Output is correct |
| 47 |
Correct |
12 ms |
600 KB |
Output is correct |
| 48 |
Correct |
9 ms |
600 KB |
Output is correct |
| 49 |
Correct |
13 ms |
1104 KB |
Output is correct |
| 50 |
Correct |
1 ms |
344 KB |
Output is correct |
| 51 |
Correct |
12 ms |
600 KB |
Output is correct |
| 52 |
Correct |
20 ms |
1368 KB |
Output is correct |
| 53 |
Correct |
0 ms |
344 KB |
Output is correct |
| 54 |
Correct |
12 ms |
600 KB |
Output is correct |
| 55 |
Correct |
20 ms |
848 KB |
Output is correct |
| 56 |
Correct |
0 ms |
344 KB |
Output is correct |
| 57 |
Correct |
7 ms |
344 KB |
Output is correct |
| 58 |
Correct |
5 ms |
344 KB |
Output is correct |
| 59 |
Correct |
13 ms |
636 KB |
Output is correct |
| 60 |
Correct |
6 ms |
600 KB |
Output is correct |
| 61 |
Correct |
0 ms |
344 KB |
Output is correct |
| 62 |
Correct |
1 ms |
344 KB |
Output is correct |
| 63 |
Correct |
0 ms |
428 KB |
Output is correct |
| 64 |
Correct |
1 ms |
344 KB |
Output is correct |
| 65 |
Correct |
0 ms |
344 KB |
Output is correct |
| 66 |
Correct |
2 ms |
600 KB |
Output is correct |
| 67 |
Correct |
1 ms |
344 KB |
Output is correct |
| 68 |
Correct |
3 ms |
344 KB |
Output is correct |
| 69 |
Correct |
2 ms |
600 KB |
Output is correct |
| 70 |
Correct |
1 ms |
344 KB |
Output is correct |
| 71 |
Correct |
24 ms |
844 KB |
Output is correct |
| 72 |
Correct |
2 ms |
344 KB |
Output is correct |
| 73 |
Correct |
21 ms |
776 KB |
Output is correct |
| 74 |
Correct |
15 ms |
856 KB |
Output is correct |
| 75 |
Correct |
1 ms |
344 KB |
Output is correct |
| 76 |
Correct |
22 ms |
1144 KB |
Output is correct |
| 77 |
Correct |
23 ms |
1112 KB |
Output is correct |
| 78 |
Correct |
2 ms |
344 KB |
Output is correct |
| 79 |
Correct |
9 ms |
600 KB |
Output is correct |
| 80 |
Correct |
24 ms |
1144 KB |
Output is correct |
| 81 |
Correct |
27 ms |
848 KB |
Output is correct |
| 82 |
Correct |
28 ms |
1176 KB |
Output is correct |
| 83 |
Correct |
1 ms |
344 KB |
Output is correct |
| 84 |
Correct |
21 ms |
856 KB |
Output is correct |
| 85 |
Correct |
32 ms |
1532 KB |
Output is correct |
| 86 |
Correct |
3 ms |
344 KB |
Output is correct |
| 87 |
Correct |
3 ms |
344 KB |
Output is correct |
| 88 |
Correct |
2 ms |
344 KB |
Output is correct |
| 89 |
Correct |
4 ms |
344 KB |
Output is correct |
| 90 |
Correct |
1 ms |
344 KB |
Output is correct |
| 91 |
Correct |
2 ms |
344 KB |
Output is correct |
| 92 |
Correct |
0 ms |
356 KB |
Output is correct |
| 93 |
Correct |
2 ms |
344 KB |
Output is correct |
| 94 |
Correct |
2 ms |
344 KB |
Output is correct |
| 95 |
Correct |
2 ms |
344 KB |
Output is correct |
| 96 |
Correct |
2 ms |
344 KB |
Output is correct |
| 97 |
Correct |
0 ms |
344 KB |
Output is correct |
