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Submission #592498

# Submission time Handle Problem Language Result Execution time Memory
592498 2022-07-09T09:09:45 Z errorgorn Nicelines (RMI20_nicelines) C++17
44.9339 / 100
 59 ms 1440 KB 
#include "nice_lines.h"

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

#define int long long
#define ii pair<int,int>
#define fi first
#define se second
#define endl '\n'

#define puf push_front
#define pof pop_front
#define pub push_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound

#define rep(x,s,e) for (int x=(s)-((s)>(e));x!=(e)-((s)>(e));((s)<(e))?x++:x--)
#define all(x) (x).begin(),(x).end()
#define sz(x) (int) (x).size()

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

#define double long double

struct line{
	double a,b; //ensure that a^2+b^2=1, i.e. norm vec
	double r;
	
	line(double A,double B){
		double g=sqrtl(A*A+1);
		a=-A/g,b=1.0/g;
		r=B/g;
	}
	
	double dist(double x,double y){
		return fabsl(a*x+b*y-r);
	}
};
vector<line> ans;

const double EPS=1e-10;
const double Y=69.420177013;

#define di pair<double,int>
vector<di> v;

double grad(double X){
	return (query(X+EPS,Y)-query(X,Y))/EPS;
}

double grad2(double X){
	return (query(X,Y+EPS)-query(X,Y))/EPS;
}

vector<signed> ansA,ansB;

void rec(double l,double r,double gl,double gr){
	if (r-l<1e-6){
		double g=grad2(r)-grad2(l);
		//cout<<l<<" "<<r<<" "<<g<<endl;
		
		double best=1e9;
		int idx=-1e9;
		for (auto [a,b]:v){
			if (fabsl(a-g)<best){
				best=fabsl(a-g);
				idx=b;
			}
		}
		
		ansA.pub(idx);
		ansB.pub(roundl(Y-l*idx));
		ans.pub({ansA.back(),ansB.back()});
	}
	else{
		double m=(l+r)/2;
		double g=grad(m);
		if (fabsl(gl-g)>1e-2) rec(l,m,gl,g);
		if (fabsl(gr-g)>1e-2) rec(m,r,g,gr);
	}
}

void solve(signed subtask_id, signed N) {
	cout<<fixed<<setprecision(12);
	
	for (int x=1;x<=10000;x++){
		v.pub({-2.0/sqrtl(1+x*x),x});
		v.pub({2.0/sqrtl(1+x*x),-x});
	}
	
    rec(-10100,10100,grad(-10100),grad(10100));
    
    if (sz(ansA)!=N){
		double y=query(0,-10000);
		for (auto it:ans) y-=it.dist(0,-10000);
		ansA.pub(0);
		ansB.pub(roundl(y-10000));
	}
    
    the_lines_are(ansA,ansB);
}

Compilation message

nicelines.cpp: In function 'void rec(long double, long double, long double, long double)':
nicelines.cpp:75:21: warning: narrowing conversion of 'ansA.std::vector<int>::back()' from '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} to 'long double' [-Wnarrowing]
   75 |   ans.pub({ansA.back(),ansB.back()});
      |            ~~~~~~~~~^~
nicelines.cpp:75:33: warning: narrowing conversion of 'ansB.std::vector<int>::back()' from '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} to 'long double' [-Wnarrowing]
   75 |   ans.pub({ansA.back(),ansB.back()});
      |                        ~~~~~~~~~^~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1352 KB Output is correct
2 Correct 2 ms 1352 KB Output is correct
3 Correct 2 ms 1352 KB Output is correct
4 Correct 2 ms 1352 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1352 KB Output is correct
2 Correct 3 ms 1352 KB Output is correct
3 Correct 3 ms 1352 KB Output is correct
4 Correct 3 ms 1440 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1352 KB Output is correct
2 Correct 3 ms 1352 KB Output is correct
3 Correct 3 ms 1352 KB Output is correct
4 Correct 5 ms 1352 KB Output is correct

Subtask #4
13.9338612211 / 19.0

# Verdict Execution time Memory Grader output
1 Partially correct 59 ms 1352 KB Output is partially correct
2 Partially correct 48 ms 1352 KB Output is partially correct
3 Partially correct 49 ms 1352 KB Output is partially correct
4 Partially correct 53 ms 1352 KB Output is partially correct

Subtask #5
0.0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 25 ms 1352 KB Incorrect
2 Halted 0 ms 0 KB -

Subtask #6
0.0 / 27.0

# Verdict Execution time Memory Grader output
1 Partially correct 59 ms 1352 KB Output is partially correct
2 Partially correct 48 ms 1352 KB Output is partially correct
3 Partially correct 49 ms 1352 KB Output is partially correct
4 Partially correct 53 ms 1352 KB Output is partially correct
5 Incorrect 25 ms 1352 KB Incorrect
6 Halted 0 ms 0 KB -