結果

問題 No.1041 直線大学
ユーザー fgwiebfaoishfgwiebfaoish
提出日時 2022-04-17 22:21:36
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 30 ms / 2,000 ms
コード長 14,599 bytes
コンパイル時間 3,633 ms
コンパイル使用メモリ 114,048 KB
実行使用メモリ 19,584 KB
最終ジャッジ日時 2024-11-16 08:14:07
合計ジャッジ時間 3,896 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 37
権限があれば一括ダウンロードができます
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
using static Exg;
using System.Runtime.CompilerServices;
static class Program{
	const int mod=(int)1e9+7;
	const double eps=1e-11;
	static Sc sc=new Sc();
	static void Main(){
		Pt pt=new Pt(Solve);
		pt.Sm();
	}
	static void Solve(Pt pt) {
		var n=sc.I;
		var pa=new Pair[n];
		var hs=new Dictionary<string,int>();
		for(int i = 0;i<n;i++) {
			pa[i]=new Pair(sc.Da);
			for(int j = i - 1;j >= 0;j--) {
				var e=Gp98(pa[i],pa[j]);
				var t=e.a+" "+e.b+" "+e.c;
				if(hs.ContainsKey(t)){hs[t]++;}
				else{hs.Add(t,1);}
			}
		}
		int ans=0;
		foreach(var e in hs){ans=Max(ans,e.Value);}
		for(int i = 1;;i++) {
			if((i*(i+1))>>1==ans) {
				ans=i+1;
				break;
			}
		}
		pt.Wl(ans);
	}
}
public struct Pair{
	public double y,x;
	public Pair(double y,double x){this.y=y;this.x=x;}
	public Pair(double[] da){y=da[0];x=da[1];}
	public Pair(Pair p){y=p.y;x=p.x;}
	public override string ToString()=>string.Format("{0} {1}",y,x);
	public static Pair operator+(Pair a,Pair b){a.y+=b.y;a.x+=b.x;return a;}
	public static Pair operator-(Pair a,Pair b){a.y-=b.y;a.x-=b.x;return a;}
	public static Pair operator*(Pair a,double n){a.y*=n;a.x*=n;return a;}
	public static Pair operator/(Pair a,double n){a.y/=n;a.x/=n;return a;}
	public static bool operator==(Pair a,Pair b){return a.y==b.y&&a.x==b.x;}
	public static bool operator!=(Pair a,Pair b){return a.y!=b.y||a.x!=b.x;}
	public static implicit operator Pair((double,double) t){return new Pair(t.Item1,t.Item2);}
	public static implicit operator Pair(int[] a){return new Pair(a[0],a[1]);}
	public override bool Equals(object obj){return false;}
	public override int GetHashCode(){return 0;}
}
static class Exg{
	static public double Gp0(Pair a,Pair b){return Sqrt((a.y-b.y)*(a.y-b.y)+(a.x-b.x)*(a.x-b.x));}
	static public (bool b,Pair p) Gp1(Pair p1,Pair p2,Pair p3,Pair p4){
		double t1=(p4.x-p3.x)*(p4.y-p1.y)-(p4.y-p3.y)*(p4.x-p1.x);
		double t2=(p2.y-p1.y)*(p4.x-p1.x)-(p2.x-p1.x)*(p4.y-p1.y);
		double t3=(p2.y-p1.y)*(p4.x-p3.x)-(p2.x-p1.x)*(p4.y-p3.y);
		if(t3==0){
			if(Abs(Atan2(p2.x-p1.x,p2.y-p1.y))!=Abs(Atan2(p3.x-p1.x,p3.y-p1.y))){return (p1.y==p3.y&&p1.x==p3.x?true:false,p1);}
			var a=new (Pair,int)[]{(p1,1),(p2,2),(p3,3),(p4,4)};
			Array.Sort(a,(d,e)=>{var c=d.Item1.y.CompareTo(e.Item1.x);return c==0?e.Item1.x.CompareTo(d.Item1.x):c;});
			return (Abs(a[0].Item2-a[1].Item2)!=1||Abs(a[2].Item2-a[3].Item2)!=1||(a[1].Item1.y==a[2].Item1.y&&a[1].Item1.x==a[2].Item1.x)?true:false,a[1].Item1);
		}
		double t4=t1/t3,t5=t2/t3;
		if(t4<0||t4>1||t5<0||t5>1){return (false,new Pair(0,0));}
		else{return (true,new Pair(p1.y+t4*(p2.y-p1.y),p1.x+t4*(p2.x-p1.x)));}
	}
	static public double Gp2(Pair p1,Pair p2,Pair p0){return Abs((p2.x-p1.x)*p0.y-(p2.y-p1.y)*p0.x+p2.y*p1.x-p1.y*p2.x)/Sqrt((p2.x-p1.x)*(p2.x-p1.x)+(p2.y-p1.y)*(p2.y-p1.y));}
	static public double Gp3(Pair p1,Pair p2,Pair p0){return (p1.y-p2.y)*(p0.x-p1.x)+(p1.x-p2.x)*(p1.y-p0.y);}
	static public double Gp4(Pair a,Pair b,Pair c){
		double a1=a.y-b.y,a2=a.x-b.x,c1=c.y-b.y,c2=c.x-b.x;
		var e=Acos((a1*c1+a2*c2)/Sqrt((a1*a1+a2*a2)*(c1*c1+c2*c2)));
		return double.IsNaN(e)?0:e;
	}
	static public (bool b,Pair p) Gp5(Pair p1,Pair p2,Pair p0){
		double ry=p0.y,rx=p0.x;
		if(p1.y==p2.y){ry=p1.y;}
		else if(p1.x==p2.x){rx=p1.x;}
		else{
			double m1=(p2.x-p1.x)/(p2.y-p1.y),b1=p1.x-(m1*p1.y),m2=-1.0/m1,b2=p0.x-(m2*p0.y);
			ry=(b2-b1)/(m1-m2);
			rx=(b2*m1-b1*m2)/(m1-m2);
		}
		return (((p1.y>=ry&&p2.y<=ry)||(p2.y>=ry&&p1.y<=ry))&&((p1.x>=rx&&p2.x<=rx)||(p2.x>=rx&&p1.x<=rx)),new Pair(ry,rx));
	}
	static public Pair Gp6(Pair a,Pair b,Pair c,int n){
		double l1=Sqrt((a.y-b.y)*(a.y-b.y)+(a.x-b.x)*(a.x-b.x));
		double l2=Sqrt((c.y-b.y)*(c.y-b.y)+(c.x-b.x)*(c.x-b.x));
		double ey=(a.y+(b.y+(c.y-b.y)*(l1/l2)))/2,ex=(a.x+(b.x+(c.x-b.x)*(l1/l2)))/2;
		ey+=(ey-b.y)*n;ex+=(ex-b.x)*n;
		return new Pair(ey,ex);
	}
	static public Pair Gp7(Pair a,double k,double p){return new Pair(a.y+k*Cos(p),a.x+k*Sin(p));}
	static public bool Gp8(Pair a,Pair b,Pair c){return (c.y-a.y)*(b.x-a.x)==(b.y-a.y)*(c.x-a.x);}
	static public Pair Gp9(Pair a,Pair b,Pair c){
		double d=a.y*a.y+a.x*a.x,e=b.y*b.y+b.x*b.x,f=c.y*c.y+c.x*c.x,g=2*(a.y*(b.x-c.x)+b.y*(c.x-a.x)+c.y*(a.x-b.x));
		return new Pair((d*(b.x-c.x)+e*(c.x-a.x)+f*(a.x-b.x))/g,(d*(c.y-b.y)+e*(a.y-c.y)+f*(b.y-a.y))/g);
	}
	static public Pair[] Gp10(Pair p0,double r,Pair p1,Pair p2){
		double a=p2.x-p1.x,b=p1.y-p2.y;
		double d=p0.y*-a+p0.x*-b+a*p1.y+b*p1.x;
		double g=a*a+b*b;
		double k=g*r*r-d*d;
		if(k<0){return new Pair[]{};}
		if(k==0){return new Pair[]{new Pair(a*d/g+p0.y,b*d/g+p0.x)};}
		k=Sqrt(k);
		return new Pair[]{new Pair((a*d-b*k)/g+p0.y,(b*d+a*k)/g+p0.x),new Pair((a*d+b*k)/g+p0.y,(b*d-a*k)/g+p0.x)};
	}
	static public Pair[] Gp11(Pair p1,double r1,Pair p2,double r2){
		p2-=p1;
		double a=(p2.y*p2.y+p2.x*p2.x+r1*r1-r2*r2)/2;
		double g=p2.y*p2.y+p2.x*p2.x;
		double k=g*r1*r1-a*a;
		if(k<0){return new Pair[]{};}
		if(k==0){return new Pair[]{new Pair(p2.y*a/g,p2.x*a/g)+p1};}
		k=Sqrt(k);
		return new Pair[]{new Pair((p2.y*a+p2.x*k)/g,(p2.x*a-p2.y*k)/g)+p1,new Pair((p2.y*a-p2.x*k)/g,(p2.x*a+p2.y*k)/g)+p1};
	}
	static Tuple<double,double> Gp12(Pair[] pa){
		int n=pa.Length;
		double sumx=0,sumy=0,sumxy=0,sumx2=0;
		for(int i = 0;i<n;i++) {
			sumxy+=pa[i].y*pa[i].x;
			sumx+=pa[i].y;
			sumy+=pa[i].x;
			sumx2+=pa[i].y*pa[i].y;
		}
		return Tuple.Create((n*sumxy-sumx*sumy)/(n*sumx2-sumx*sumx),(sumx2*sumy-sumxy*sumx)/(n*sumx2-sumx*sumx));
	}
	static public Pair[] Gp13(Pair a,Pair p1,double r){
		a-=p1;
		double g=a.y*a.y+a.x*a.x,k=Sqrt(g-r*r);
		return new Pair[]{new Pair(r*(a.y*r+a.x*k)/g,r*(a.x*r-a.y*k)/g)+p1,new Pair(r*(a.y*r-a.x*k)/g,r*(a.x*r+a.y*k)/g)+p1};
	}
	static public double Gp14(Pair a,Pair b,Pair c){
		b-=a;c-=a;
		return Abs(b.y*c.x-b.x*c.y)/2;
	}
	static public double Gp15(Pair a,Pair b,Pair c){return Sign((b.y-a.y)*(c.x-a.x)-(c.y-a.y)*(b.x-a.x));}
	static public double Gp16(Pair[] pa){
		double d=0;
		int n=pa.Length;
		for(int i = 0;i<n;i++) {d+=Gp14(pa[0],pa[i],pa[(i+1)%n])*Gp15(pa[0],pa[i],pa[(i+1)%n]);}
		return Abs(d);
	}
	static public double Gp17(Pair a,Pair b){return Atan2(b.x-a.x,b.y-a.y);}
	static public bool Gp18(Pair a,Pair b,Pair c,Pair d){
		a-=d;b-=d;c-=d;
		var ab=Sign(a.y*b.x-a.x*b.y);
		var bc=Sign(b.y*c.x-b.x*c.y);
		var ca=Sign(c.y*a.x-c.x*a.y);
		return ab==bc&&ab==ca;
	}
	static public (long a,long b,long c) Gp98(Pair a,Pair b){
		long d=(long)(b.x-a.x),e=(long)(a.y-b.y),f=d*(long)a.y+e*(long)a.x,v=1;
		d=-d;e=-e;
		if(d==0){v=f==0?e:Gcd(e,f);}
		else if(e==0){v=f==0?d:Gcd(d,f);}
		else{
			v=Gcd(d,e);
			if(f!=0){v=Gcd(v,f);}
			v=Abs(v)*Sign(d);
		}
		return (d/v,e/v,f/v);
	}
	static long Gcd(long a,long b){
		long c=Max(a,b)%(b=Min(a,b));
		while(c!=0){a=b%c;b=c;c=a;}
		return b;
	}
	static public (double a,double b,double c) Gp99(Pair a,Pair b){
		double d=b.x-a.x,e=a.y-b.y;
		return (-d,-e,d*a.y+e*a.x);
	}
	static public (Pair p,double d)[] Psort(Pair[] pa,Pair p){
		var arr=new (Pair,double)[pa.Length];
		for(int i = 0;i<pa.Length;i++) {arr[i]=(pa[i],Atan2(pa[i].x-p.x,pa[i].y-p.y)*180/PI+180);}
		Array.Sort(arr,(u,v)=>u.Item2.CompareTo(v.Item2));
		return arr;
	}
	static public (Pair p,double d)[] Psort2(Pair[] pa,Pair p){
		int n=pa.Length;
		var arr=new (Pair,double)[n];
		for(int i = 0;i<n;i++) {arr[i]=(pa[i],Atan2(pa[i].x-p.x,pa[i].y-p.y)*180/PI+180);}
		Array.Sort(arr,(u,v)=>u.Item2.CompareTo(v.Item2));
		Array.Resize(ref arr,n<<1);
		for(int i = 0;i<n;i++) {arr[i+n]=(arr[i].Item1,arr[i].Item2+360);}
		return arr;
	}
}
public class Pt{
	private StringBuilder sb=new StringBuilder();
	public Pt(Action<Pt> f){f(this);}
	public void W(int s){sb.Append(s);}
	public void W(long s){sb.Append(s);}
	public void W(double s){sb.Append(s);}
	public void W(decimal s){sb.Append(s);}
	public void W(char s){sb.Append(s);}
	public void W(string s){sb.Append(s);}
	public void W(object s){sb.Append(s);}
	public void W(string f,int s){sb.Append(s.ToString(f));}
	public void W(string f,long s){sb.Append(s.ToString(f));}
	public void W(string f,double s){sb.Append(s.ToString(f));}
	public void W(string f,decimal s){sb.Append(s.ToString(f));}
	public void Wl(int s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(long s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(double s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(decimal s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(char s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(string s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(object s){sb.Append(s).Append(Environment.NewLine);}
	public void Wl(string f,int s){sb.Append(s.ToString(f)).Append(Environment.NewLine);}
	public void Wl(string f,long s){sb.Append(s.ToString(f)).Append(Environment.NewLine);}
	public void Wl(string f,double s){sb.Append(s.ToString(f)).Append(Environment.NewLine);}
	public void Wl(string f,decimal s){sb.Append(s.ToString(f)).Append(Environment.NewLine);}
	public void Wl(int[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);}
	public void Wl(long[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);}
	public void Wl(double[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);}
	public void Wl(string[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);}
	public void Wl(object[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);}
	public void Wl(){sb.Append(Environment.NewLine);}
	public void Sm(){Console.Write(sb);}
	public static bool operator==(Pt a,Pt b){return a.sb.ToString()==b.sb.ToString();}
	public static bool operator!=(Pt a,Pt b){return a.sb.ToString()!=b.sb.ToString();}
	public override bool Equals(object obj){return false;}
	public override int GetHashCode(){return 0;}
}
public class Sc{
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected virtual string Rl(){return Console.ReadLine();}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected virtual string[] Sp(string st){return st.Split();}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	private T Ct<T>(string s){return (T)Convert.ChangeType(s,typeof(T));}
	public virtual int I{get{return int.Parse(Rl());}}
	public virtual long L{get{return long.Parse(Rl());}}
	public virtual double D{get{return double.Parse(Rl());}}
	public virtual string S{get{return Rl();}}
	public int[] Ia{get{return Array.ConvertAll(Sp(Rl()),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Sp(Rl()),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Sp(Rl()),double.Parse);}}
	public string[] Sa{get{return Sp(Rl());}}
	public object[] Oa{get{return Sp(Rl());}}
	public int[] Ia2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Sp(Rl()));}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Sp(Rl()));}return a;}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T) Tp2<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T) Tp3<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T) Tp4<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T,T) Tp5<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]),Ct<T>(s[4]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T,T,T) Tp6<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]),Ct<T>(s[4]),Ct<T>(s[5]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T1,T2) Tp2<T1,T2>(){var s=Sp(Rl());return (Ct<T1>(s[0]),Ct<T2>(s[1]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T1,T1,T2) Tp3<T1,T2>(){var s=Sp(Rl());return (Ct<T1>(s[0]),Ct<T1>(s[1]),Ct<T2>(s[2]));}
}
public class Scr:Sc{
	private List<string> li=new List<string>();
	private int l=0;
	private bool bo=false;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string Rl(){
		if(bo){return li[l++%li.Count];}
		li.Add(Console.ReadLine());
		return li[li.Count-1];
	}
	public void Again(){bo=true;}
}
public class Sc2:Sc{
	private string[] sps=new string[]{" ","　","\t"};
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string[] Sp(string st){return st.Split(sps,StringSplitOptions.RemoveEmptyEntries);}
	public override int I{get{return int.Parse(Sp(Rl())[0]);}}
	public override long L{get{return long.Parse(Sp(Rl())[0]);}}
	public override double D{get{return double.Parse(Sp(Rl())[0]);}}
	public override string S{get{return Sp(Rl())[0];}}
}
public class Sct:Sc{
	private List<string> li=new List<string>();
	private int l=0;
	public void Add(int s){li.Add(s.ToString());}
	public void Add(long s){li.Add(s.ToString());}
	public void Add(double s){li.Add(s.ToString());}
	public void Add(string s){li.Add(s.ToString());}
	public void Add(object s){li.Add(s.ToString());}
	public void Add(int[] s){li.Add(string.Join(" ",s));}
	public void Add(long[] s){li.Add(string.Join(" ",s));}
	public void Add(double[] s){li.Add(string.Join(" ",s));}
	public void Add(string[] s){li.Add(string.Join(" ",s));}
	public void Add(object[] s){li.Add(string.Join(" ",s));}
	protected override string Rl(){return li[l++];}
	public void Clear(){li.Clear();l=0;}
	public void Again(){l=0;}
	public void Pf(){Console.WriteLine(string.Join("\n",li));}
}
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