#ifdef LOCAL
#include "local.h"
#else
#include <bits/stdc++.h>
#define debug(...)
#define DB(...)
#endif
using namespace std;
const bool __initialization = []() {
cin.tie(nullptr)->sync_with_stdio(false);
#define TASK "empty"
if (fopen(TASK".inp", "r")) {
(void)(!freopen(TASK".inp", "r", stdin));
(void)(!freopen(TASK".out", "w", stdout)); }
cout << setprecision(12) << fixed;
return true;
}();
using ll = long long;
using ld = long double;
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define For(i, l, r) for (int i = (l); i <= (r); ++i)
#define Ford(i, r, l) for (int i = (r); i >= (l); --i)
#define Rep(i, n) For (i, 0, (n) - 1)
#define Repd(i, n) Ford (i, (n) - 1, 0)
#define Fe(...) for (auto __VA_ARGS__)
template <class C> inline int isz(const C& c) { return static_cast<int>(c.size()); }
template <class T> inline bool chmin(T& a, const T& b) { return (a > b) ? a = b, true : false; }
template <class T> inline bool chmax(T& a, const T& b) { return (a < b) ? a = b, true : false; }
constexpr ld eps = 1e-9;
constexpr int inf = 1e9;
constexpr ll linf = 1e18;
// =============================================================================
constexpr int maxn = 2000 + 5;
int n, np, nq;
int a[maxn];
int dp[maxn][maxn];
int nxtp[maxn], nxtq[maxn];
bool check(int width) {
int ptr = 1;
For (i, 1, n) {
while (ptr <= n && a[ptr] < a[i] + width) ++ptr;
nxtp[i] = --ptr;
}
ptr = 1;
For (i, 1, n) {
while (ptr <= n && a[ptr] < a[i] + 2 * width) ++ptr;
nxtq[i] = --ptr;
}
For (i, 0, np) {
For (j, 0, nq) {
dp[i][j] = 0;
if (i > 0) {
chmax(dp[i][j], nxtp[dp[i - 1][j] + 1]);
}
if (j > 0) {
chmax(dp[i][j], nxtq[dp[i][j - 1] + 1]);
}
if (dp[i][j] >= n) return true;
}
}
return false;
}
signed main() {
cin >> n >> np >> nq;
For (i, 1, n) cin >> a[i];
if (np + nq >= n) {
cout << 1 << '\n';
return 0;
}
sort(a + 1, a + n + 1);
int L = 1, R = inf;
int ans = -1;
while (L <= R) {
int M = (L + R) / 2;
if (check(M)) {
ans = M;
R = M - 1;
} else {
L = M + 1;
}
}
assert(ans != -1);
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 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 |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
572 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
6 ms |
1100 KB |
Output is correct |
9 |
Correct |
6 ms |
3660 KB |
Output is correct |
10 |
Correct |
12 ms |
8536 KB |
Output is correct |
11 |
Correct |
3 ms |
972 KB |
Output is correct |
12 |
Correct |
26 ms |
8044 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |