mirror of
https://github.com/Kiritow/OJ-Problems-Source.git
synced 2024-03-22 13:11:29 +08:00
113 lines
2.6 KiB
C++
113 lines
2.6 KiB
C++
#include<stdio.h>
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#include<math.h>
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#include<stdlib.h>
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#include<string.h>
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#include<algorithm>
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#include<iostream>
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#include<vector>
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#define eps 1e-8
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using namespace std;
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struct Point
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{
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double x,y;
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Point(){}
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Point(double x0,double y0):x(x0),y(y0){}
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void Input()
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{
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scanf("%lf%lf",&x,&y);
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}
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};
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struct Line
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{
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Point a,b;
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double inter,k;
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Line(){}
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Line(Point a0,Point b0):a(a0),b(b0){}
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};
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double Xmult(Point o,Point a,Point b)
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{
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return (a.x-o.x)*(b.y-o.y)-(b.x-o.x)*(a.y-o.y);
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}
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int Sig(double a)
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{
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return a<-eps?-1:a>eps;
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}
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int cmp(Line l1,Line l2)
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{
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if(!Sig(l1.k-l2.k) && !Sig(l1.inter-l2.inter) && !Sig(l1.a.x-l2.a.x))
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return l1.b.x<l2.b.x;
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if(!Sig(l1.k-l2.k) && !Sig(l1.inter-l2.inter))
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return l1.a.x<l2.a.x;
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if(!Sig(l1.k-l2.k))
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return l1.inter<l2.inter;
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return l1.k<l2.k;
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}
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int Count(vector<Line> v)
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{
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int n=v.size();
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for(int i=0;i<n;i++)
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{
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v[i].inter=-(v[i].a.x)*(v[i].b.y-v[i].a.y)/(v[i].b.x-v[i].a.x)+v[i].a.y;
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v[i].k=(v[i].b.y-v[i].a.y)/(v[i].b.x-v[i].a.x);
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}
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sort(v.begin(),v.end(),cmp);
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int ans=0;
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for(int i=1;i<n;i++)
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{
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if(!Sig(v[i].inter-v[i-1].inter) && !Sig(v[i].k-v[i-1].k) && Sig(v[i].a.x-v[i-1].b.x)<=0)
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{
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ans++;
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v[i].b.x=max(v[i-1].b.x,v[i].b.x);
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}
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}
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return ans;
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}
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int cmp1(Line l1,Line l2)
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{
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if(!Sig(l1.inter-l2.inter) && !Sig(l1.a.y-l2.a.y))
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return l1.b.y<l2.b.y;
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if(!Sig(l1.inter-l2.inter))
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return l1.a.y<l2.a.y;
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return l1.inter<l2.inter;
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}
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int main()
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{
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int n;
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Point a,b;
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vector<Line> v;
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vector<Line> v1;
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while(scanf("%d",&n) && n)
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{
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v.clear();
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v1.clear();
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for(int i=0;i<n;i++)
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{
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a.Input();
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b.Input();
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if(a.x>b.x)
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swap(a,b);
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if(a.x==b.x)
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v1.push_back(Line(a,b));
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else
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v.push_back(Line(a,b));
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}
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int ans=0;
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ans=Count(v);
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for(int i=0;i<v1.size();i++)
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{
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v1[i].inter=v1[i].a.x;
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if(v1[i].a.y>v1[i].b.y)
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swap(v1[i].a,v1[i].b);
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}
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sort(v1.begin(),v1.end(),cmp1);
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for(int i=1;i<v1.size();i++)
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if(!Sig(v1[i].inter-v1[i-1].inter) && Sig(v1[i].a.y-v1[i-1].b.y)<=0)
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{
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ans++;
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v1[i].b.y=max(v1[i].b.y,v1[i-1].b.y);
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}
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printf("%d\n",n-ans);
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}
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return 0;
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}
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