//
// Created by mihai145 on 29.01.2021.
//
#include <iostream>
#include <algorithm>
using namespace std;
const int NMAX = 2000;
const int L = 1e9;
int N, P, Q;
int a[NMAX + 5];
int dp[NMAX + 5][NMAX + 5];
bool ok(int w) {
for (int i = 0; i <= P; i++) {
for (int j = 0; j <= Q; j++) {
dp[i][j] = 0;
}
}
for(int i = 0; i <= P; i++) {
for(int j = 0; j <= Q; j++) {
///we place one more small camera
if(dp[i][j] >= N) {
dp[i + 1][j] = dp[i][j];
} else {
int startIndex = dp[i][j] + 1;
int st = startIndex, dr = N, sol = startIndex;
while(st <= dr) {
int mid = (st + dr) >> 1;
if(a[mid] - a[startIndex] < w) {
sol = mid;
st = mid + 1;
} else {
dr = mid - 1;
}
}
dp[i + 1][j] = max(dp[i + 1][j], sol);
}
///we place one more big camera
if(dp[i][j] >= N) {
dp[i][j + 1] = dp[i][j];
} else {
int startIndex = dp[i][j] + 1;
int st = startIndex, dr = N, sol = startIndex;
while(st <= dr) {
int mid = (st + dr) >> 1;
if(a[mid] - a[startIndex] < 2 * w) {
sol = mid;
st = mid + 1;
} else {
dr = mid - 1;
}
}
dp[i][j + 1] = max(dp[i][j + 1], sol);
}
}
}
return (dp[P][Q] >= N);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> N >> P >> Q;
if (P + Q >= N) {
cout << 1 << '\n';
return 0;
}
///P + Q < N
for (int i = 1; i <= N; i++) {
cin >> a[i];
}
sort(a + 1, a + N + 1);
int st = 1, dr = L, sol = L;
while (st <= dr) {
int mid = (st + dr) >> 1;
if (ok(mid)) {
sol = mid;
dr = mid - 1;
} else {
st = mid + 1;
}
}
cout << sol << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
620 KB |
Output is correct |
12 |
Correct |
2 ms |
620 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
75 ms |
1260 KB |
Output is correct |
9 |
Correct |
89 ms |
3820 KB |
Output is correct |
10 |
Correct |
104 ms |
8684 KB |
Output is correct |
11 |
Correct |
93 ms |
1132 KB |
Output is correct |
12 |
Correct |
510 ms |
8172 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
512 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |