1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138
| #include<algorithm> #include<iostream> #include<iomanip> #include<cstring> #include<cstdlib> #include<climits> #include<vector> #include<cstdio> #include<cmath> #include<queue> using namespace std;
typedef long long LL;
inline const int Get_Int() { int num=0,bj=1; char x=getchar(); while(x<'0'||x>'9') { if(x=='-')bj=-1; x=getchar(); } while(x>='0'&&x<='9') { num=num*10+x-'0'; x=getchar(); } return num*bj; }
const int maxn=100005,K=2;
int D;
struct Point { int dimension[K],Min[K],Max[K]; int lson,rson,id; int& operator[] (int x) { return dimension[x]; } bool operator < (const Point& b) const { return dimension[D]<b.dimension[D]; } };
LL sqr(LL x) { return x*x; }
LL dist(Point a,Point b) { LL ans=0; for(int i=0; i<K; i++)ans+=sqr(a[i]-b[i]); return ans; }
struct QueNode { LL v; int id; bool operator < (const QueNode& b) const { return v>b.v||(v==b.v&&id<b.id); } };
struct KD_Tree { Point p[maxn]; #define ls p[index].lson #define rs p[index].rson void update(int index) { for(int i=0; i<K; i++) { if(ls) { p[index].Min[i]=min(p[index].Min[i],p[ls].Min[i]); p[index].Max[i]=max(p[index].Max[i],p[ls].Max[i]); } if(rs) { p[index].Min[i]=min(p[index].Min[i],p[rs].Min[i]); p[index].Max[i]=max(p[index].Max[i],p[rs].Max[i]); } } } int build(int Left,int Right,int now) { int mid=(Left+Right)>>1; int root=mid; D=now; nth_element(p+Left,p+mid,p+Right+1); for(int i=0; i<K; i++)p[root].Max[i]=p[root].Min[i]=p[root][i]; if(Left<mid)p[root].lson=build(Left,mid-1,(now+1)%K); if(Right>mid)p[root].rson=build(mid+1,Right,(now+1)%K); update(root); return root; } LL get_max(int index,Point P) { if(!index)return -INT_MAX; LL ans=0; for(int i=0; i<K; i++)ans+=max(sqr(p[index].Max[i]-P[i]),sqr(p[index].Min[i]-P[i])); return ans; } priority_queue<QueNode>Q; void find_max(int index,Point P) { LL Dist=dist(p[index],P); if(Dist>Q.top().v||(Dist==Q.top().v&&p[index].id<Q.top().id)) { Q.pop(); Q.push((QueNode) {Dist,p[index].id}); } LL ldist=get_max(p[index].lson,P),rdist=get_max(p[index].rson,P); if(ldist>rdist) { if(ldist>=Q.top().v)find_max(p[index].lson,P); if(rdist>=Q.top().v)find_max(p[index].rson,P); } else if(ldist<rdist) { if(rdist>=Q.top().v)find_max(p[index].rson,P); if(ldist>=Q.top().v)find_max(p[index].lson,P); } else { if(ldist>=Q.top().v)find_max(p[index].lson,P); if(rdist>=Q.top().v)find_max(p[index].rson,P); } } } tree;
int n,q,k,a[maxn][2];
int main() { n=Get_Int(); for(int i=1; i<=n; i++) { tree.p[i][0]=Get_Int(); tree.p[i][1]=Get_Int(); tree.p[i].id=i; } int root=tree.build(1,n,0); q=Get_Int(); for(int i=1; i<=q; i++) { Point p; p[0]=Get_Int(); p[1]=Get_Int(); k=Get_Int(); tree.Q=priority_queue<QueNode>(); for(int i=1; i<=k; i++)tree.Q.push((QueNode) {-INT_MAX/2,0}); tree.find_max(root,p); printf("%d\n",tree.Q.top().id); } return 0; }
|