Submission #1104430

#TimeUsernameProblemLanguageResultExecution timeMemory
1104430alexander707070Shortcut (IOI16_shortcut)C++14
71 / 100
2061 ms2128 KiB
#include<bits/stdc++.h>
#define MAXN 100007
using namespace std;

struct rect{
	long long minx,maxx;
	long long miny,maxy;

	inline friend rect operator + (rect fr,rect sc){
		return {max(fr.minx,sc.minx),min(fr.maxx,sc.maxx),max(fr.miny,sc.miny),min(fr.maxy,sc.maxy)};
	}
};

const long long inf=1e15;

int n,len[MAXN],d[MAXN],c;
long long pos[MAXN];

bool ok(long long fix){
	rect s={-inf,inf,-inf,inf},curr;

	for(int i=1;i<=n;i++){
		for(int f=i+1;f<=n;f++){
			if(pos[f]-pos[i]+d[i]+d[f]<=fix)continue;

			long long w=fix-d[i]-d[f]-c;
			if(w<0)return false;

			curr={pos[f]-pos[i]-w,pos[f]-pos[i]+w,pos[i]+pos[f]-w,pos[i]+pos[f]+w};
			s=s+curr;
		}
	}

	for(int i=1;i<=n;i++){
		for(int f=i+1;f<=n;f++){
			if(pos[f]-pos[i]>=s.minx and pos[f]-pos[i]<=s.maxx and pos[f]+pos[i]>=s.miny and pos[f]+pos[i]<=s.maxy)return true;
		}
	}

	return false;
}

long long find_shortcut(int N,vector<int> L,vector<int> D, int C){
	n=N; c=C;

	for(int i=1;i<=n-1;i++){
		len[i]=L[i-1];
	}

	for(int i=2;i<=n;i++){
		pos[i]=pos[i-1]+len[i-1];
	}

	for(int i=1;i<=n;i++){
		d[i]=D[i-1];
	}

	long long l=0,r=inf,tt;
	while(l+1<r){
		tt=(l+r)/2;
		if(ok(tt)){
			r=tt;
		}else{
			l=tt;
		}
	}

	return r;
}

/*int main(){

	//cout<<find_shortcut(9, {10, 10, 10, 10, 10, 10, 10, 10},{20, 0, 30, 0, 0, 40, 0, 40, 0}, 30)<<"\n";
	//cout<<find_shortcut(4, {2, 2, 2},{1, 10, 10, 1}, 1)<<"\n";
	cout<<find_shortcut(3, {1, 1},{1, 1, 1}, 3)<<"\n";



	return 0;
}*/
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