Submission #758834

# Submission time Handle Problem Language Result Execution time Memory
758834 2023-06-15T11:11:05 Z Fidan Watching (JOI13_watching) C++17
50 / 100
1000 ms 31760 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, a, b) for(ll i=ll(a); i<ll(b); i++)
#define repn(i, a, b) for(ll i=ll(b)-1; i>=ll(a); i--)
#define pb push_back
#define si size()
#define ff first
#define ss second
#define be begin()
#define en end()
const ll N=2002, P=2002;
vector<vector<ll>> dp(N, vector<ll> (P, N));
bool check(ll n, ll p, ll q, ll w, vector<ll> &v){
	dp[0][0]=1;
	rep(i, 1, p+1){
		dp[0][i]=0;
	}
	ll c=0;
	rep(i, 1, n){
		if(v[c]+2*w-1>=v[i]){
			dp[i][0]=dp[i-1][0];
		}
		else{
			c=i;
			dp[i][0]=dp[i-1][0]+1;
		}
	}
	rep(i, 1, n){
		rep(j, 1, p+1){
			dp[i][j]=N;
			if(v[0]+w>v[i]){
				dp[i][j]=0;
			}
			else{
				ll lo=0, hi=i-1;
				while(lo<hi){
					ll mid=(lo+hi+1)/2;
					if(v[mid]+w<=v[i]){
						lo=mid;
					}
					else{
						hi=mid-1;
					}
				}
				dp[i][j]=min(dp[i][j], dp[lo][j-1]);
			}
			if(v[0]+2*w>v[i]){
				dp[i][j]=min(dp[i][j], ll(1));
			}
			else{
				ll lo=0, hi=i-1;
				while(lo<hi){
					ll mid=(lo+hi+1)/2;
					if(v[mid]+2*w<=v[i]){
						lo=mid;
					}
					else{
						hi=mid-1;
					}
				}
				dp[i][j]=min(dp[i][j], dp[lo][j]+1);
			}
		}
	}
	if(dp[n-1][p]<=q){
		return true;
	}
	return false;
}
void solve(){
	ll n, p, q;
	cin>>n>>p>>q;
	vector<ll> v(n);
	rep(i, 0, n){
		cin>>v[i];
	}
	sort(v.be, v.en);
	if(p+q>=n){
		cout<<1;
	}
	else{
		ll lo=1, hi=(1e9)/3+2;
		while(lo<hi){
			ll mid=(lo+hi)/2;
			bool f=check(n, p, q, mid, v);
			if(f) hi=mid;
			else lo=mid+1;
		}
		cout<<hi;
	}
}
int main(){
	ios_base::sync_with_stdio();
	cin.tie(0);
	ll t=1;
	//~ cin>>t;
	while(t--){
		solve();
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 15 ms 31696 KB Output is correct
2 Correct 17 ms 31700 KB Output is correct
3 Correct 15 ms 31700 KB Output is correct
4 Correct 17 ms 31716 KB Output is correct
5 Correct 15 ms 31644 KB Output is correct
6 Correct 15 ms 31664 KB Output is correct
7 Correct 15 ms 31700 KB Output is correct
8 Correct 15 ms 31712 KB Output is correct
9 Correct 15 ms 31700 KB Output is correct
10 Correct 16 ms 31636 KB Output is correct
11 Correct 17 ms 31700 KB Output is correct
12 Correct 19 ms 31640 KB Output is correct
13 Correct 15 ms 31700 KB Output is correct
14 Correct 15 ms 31640 KB Output is correct
15 Correct 15 ms 31700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 31700 KB Output is correct
2 Correct 15 ms 31700 KB Output is correct
3 Correct 16 ms 31680 KB Output is correct
4 Correct 16 ms 31700 KB Output is correct
5 Correct 16 ms 31700 KB Output is correct
6 Correct 16 ms 31700 KB Output is correct
7 Correct 50 ms 31752 KB Output is correct
8 Correct 153 ms 31748 KB Output is correct
9 Correct 803 ms 31760 KB Output is correct
10 Execution timed out 1079 ms 31700 KB Time limit exceeded
11 Halted 0 ms 0 KB -