Submission #394195

#TimeUsernameProblemLanguageResultExecution timeMemory
394195arwaeystoamnegWatching (JOI13_watching)C++17
100 / 100
803 ms16040 KiB
// EXPLOSION!
#define _CRT_SECURE_NO_WARNINGS
#include<bits/stdc++.h>
#include<unordered_set>
#include<unordered_map>
#include<chrono>

using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pair<int, int>> vpi;
typedef vector<pair<ll, ll>> vpll;

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

#define pb push_back
#define mp make_pair
#define rsz resize
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define f first
#define s second
#define cont continue
#define endl '\n'
//#define ednl '\n'
#define test int testc;cin>>testc;while(testc--)
#define pr(a, b) trav(x,a)cerr << x << b; cerr << endl;
#define message cout << "Hello World" << endl;
const int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 }; // for every grid problem!!
const ll linf = 4000000000000000000LL;
const ll inf = 1000000007;//998244353    

void pv(vi a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vll a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vector<vi>a) {
	F0R(i, sz(a)) { cout << i << endl; pv(a[i]); cout << endl; }
}void pv(vector<vll>a) { F0R(i, sz(a)) { cout << i << endl; pv(a[i]); }cout << endl; }void pv(vector<string>a) { trav(x, a)cout << x << endl; cout << endl; }
void setIO(string s) {
	ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef arwaeystoamneg
	if (sz(s))
	{
		freopen((s + ".in").c_str(), "r", stdin);
		if (s != "test1")
			freopen((s + ".out").c_str(), "w", stdout);
	}
#endif
}


int n, p, q;
const int MAX = 2005;
int a[MAX], dp[MAX][MAX], ne[MAX], ne1[MAX];
int check(int w)
{
	// dp[i][j] is the minimum number of Q parts needed to cover the first i sections with j P parts.
	F0R(i, n + 1)F0R(j, p + 1)dp[i][j] = inf;
	dp[0][0] = 0;
	int ptr = 0;
	F0R(i, n)
	{
		while (ptr < n && a[ptr] - a[i] <= w - 1)ptr++;
		ne[i] = ptr;
	}
	ptr = 0;
	F0R(i, n)
	{
		while (ptr < n && a[ptr] - a[i] <= 2 * w - 1)ptr++;
		ne1[i] = ptr;
	}
	F0R(i, n)
	{
		F0R(j, p + 1)
		{
			if (j != p)
			{
				int it = ne[i];
				dp[it][j + 1] = min(dp[it][j + 1], dp[i][j]);
			}
			if (dp[i][j] < q)
			{
				auto it = ne1[i];
				dp[it][j] = min(dp[it][j], dp[i][j] + 1);
			}
		}
	}
	F0R(i, p + 1)if (dp[n][i] <= q)return 1;
	return 0;
}
int main() 
{
    setIO("");
	cin >> n >> p >> q;
	F0R(i, n)cin >> a[i];
	sort(a, a + n);
	if (p + q >= n)
	{
		cout << 1 << endl;
		return 0;
	}
	int l = 1, r = 1e9;
	while (l < r)
	{
		int m = (l + r) / 2;
		if (check(m))
			r = m;
		else
			l = m + 1;
	}
	cout << l << endl;
}



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