제출 #211257

#제출 시각아이디문제언어결과실행 시간메모리
211257mode149256구경하기 (JOI13_watching)C++14
100 / 100
281 ms4248 KiB
/*input
3 1 1
2
11
17

13 3 2
33
66
99
10
83
68
19
83
93
53
15
66
75


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

typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<ld, ld> pd;

typedef vector<int> vi;
typedef vector<vi> vii;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<vl> vll;
typedef vector<pi> vpi;
typedef vector<vpi> vpii;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
typedef vector<pd> vpd;
typedef vector<bool> vb;
typedef vector<vb> vbb;
typedef std::string str;
typedef std::vector<str> vs;

#define x first
#define y second
#define debug(...) cout<<"["<<#__VA_ARGS__<<": "<<__VA_ARGS__<<"]\n"

const int MOD = 1000000007;
const ll INF = std::numeric_limits<ll>::max();
const int MX = 100101;
const ld PI = 3.14159265358979323846264338327950288419716939937510582097494L;

template<typename T>
pair<T, T> operator+(const pair<T, T> &a, const pair<T, T> &b) { return pair<T, T>(a.x + b.x, a.y + b.y); }
template<typename T>
pair<T, T> operator-(const pair<T, T> &a, const pair<T, T> &b) { return pair<T, T>(a.x - b.x, a.y - b.y); }
template<typename T>
T operator*(const pair<T, T> &a, const pair<T, T> &b) { return (a.x * b.x + a.y * b.y); }
template<typename T>
T operator^(const pair<T, T> &a, const pair<T, T> &b) { return (a.x * b.y - a.y * b.x); }

template<typename T>
void print(vector<T> vec, string name = "") {
	cout << name;
	for (auto u : vec)
		cout << u << ' ';
	cout << '\n';
}

int N, P, Q;
vi sk;

bool galima(int w) {
	if (P + Q >= N) return true;
	vii dp(P + 1, vi(Q + 1, 0));

	// dp[p][q]  = h su p ir q paimta jau [0;h] paimta

	for (int p = 0; p <= P; ++p)
	{
		int jw = 0;
		int j2w = 0;
		for (int q = 0; q <= Q; ++q)
		{
			if (dp[p][q] == N) {
				if (p + 1 <= P) dp[p + 1][q] = N;
				if (q + 1 <= Q) dp[p][q + 1] = N;
				continue;
			}

			int pasiekiu = sk[dp[p][q] + 1] + w;

			while (jw + 1 <= N and sk[jw + 1] < pasiekiu)
				jw++;

			if (p + 1 <= P)
				dp[p + 1][q] = max(dp[p + 1][q], jw);

			pasiekiu = sk[dp[p][q] + 1] + 2 * w;

			while (j2w + 1 <= N and sk[j2w + 1] < pasiekiu)
				j2w++;

			// printf("p = %d, j2w = %d, q + 1 = %d\n", p, j2w, q + 1);
			if (q + 1 <= Q)
				dp[p][q + 1] = max(dp[p][q + 1], j2w);
		}
	}

	// for (int p = 0; p <= P; ++p) {
	// 	for (int q = 0; q <= Q; ++q) {
	// 		printf("%d ", dp[p][q]);
	// 	}
	// 	printf("\n");
	// }

	// printf("w = %d, dp = %d\n", w, dp[P][Q]);
	return dp[P][Q] == N;
}

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> N >> P >> Q;
	sk = vi(N + 1);
	for (int i = 1; i <= N; ++i)
		cin >> sk[i];

	sk[0] = 0;
	sort(sk.begin() + 1, sk.end());

	// for (int i = 0; i <= N; ++i)
	// 	printf("%2d ", sk[i]);
	// printf("\n");
	int l = 1;
	int h = (int)1e9;
	int m;
	while (l < h) {
		m = (l + h) / 2;
		if (galima(m))
			h = m;
		else
			l = m + 1;
	}

	printf("%d\n", l);
}

/* Look for:
* special cases (n=1?)
* overflow (ll vs int?)
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* array bounds
*/
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