112 lines
2.5 KiB
C++
112 lines
2.5 KiB
C++
#include <set>
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#include <queue>
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#include <stack>
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#include <math.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <iostream>
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#include <limits.h>
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#include <string.h>
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#include <string>
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#include <algorithm>
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#define MID(x,y) ( ( x + y ) >> 1 )
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#define L(x) ( x << 1 )
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#define R(x) ( x << 1 | 1 )
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#define BUG puts("here!!!")
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using namespace std;
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const int MAX = 100010;
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int X;
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struct circle{ int w,x,y,r;};
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circle c[MAX];
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double yy(int id,int flag)
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{
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double d = sqrt(c[id].r*1.0*c[id].r - (X-c[id].x)*1.0*(X-c[id].x));
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if( flag == 1 ) return c[id].y + d;
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return c[id].y - d;
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}
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struct Sline{
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int flag,id;
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bool operator<(const Sline a)const
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{
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double y1 = yy(id, flag);
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double y2 = yy(a.id, a.flag);
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return y1 > y2 || y1 == y2 && flag > a.flag;
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}
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};
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set<Sline> s;
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set<Sline>::iterator pre,suc,it;
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struct event{ int x,id,flag;};
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event l[MAX];
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bool cmp(event a,event b)
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{
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if( a.x == b.x )
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return c[a.id].y > c[b.id].y;
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return a.x < b.x;
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}
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void add_line(circle c, int &cnt ,int id)
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{
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l[cnt].id = id;
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l[cnt].x = c.x - c.r;
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l[cnt++].flag = 1;
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l[cnt].id = id;
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l[cnt].x = c.x + c.r;
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l[cnt++].flag = -1;
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}
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void solve(int n)
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{
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s.clear();
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Sline node;
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for(int i=0; i<n; i++)
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{
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X = l[i].x;
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if( l[i].flag == 1 )
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{
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node.id = l[i].id; node.flag = 1;
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it = s.insert(node).first;
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suc = pre = it;
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suc++;
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if( it == s.begin() || suc == s.end() )
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c[it->id].w = 1;
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else
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{
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pre--;
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if( pre->id == suc->id )
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c[it->id].w = c[pre->id].w + 1;
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else
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c[it->id].w = max( c[pre->id].w, c[suc->id].w);
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}
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node.flag = -1;
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s.insert(node);
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}
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else
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{
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node.id = l[i].id; node.flag = 1;
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s.erase(node);
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node.flag = -1;
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s.erase(node);
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}
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}
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}
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int main()
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{
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int ncases,n;
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int x1,x2,y1,y2,xx,yy,r;
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while( ~scanf("%d",&n) )
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{
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int cnt = 0;
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for(int i=0; i<n; i++)
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{
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scanf("%d%d%d",&c[i].x, &c[i].y, &c[i].r);
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c[i].w = 0;
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add_line(c[i],cnt,i);
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}
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sort(l,l+cnt,cmp);
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solve(cnt);
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int ans = 0;
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for(int i=0; i<n; i++)
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ans = max(ans, c[i].w);
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printf("%d\n",ans);
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}
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return 0;
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}
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