/*
Author: JDD
PROG: vijos1212 Way Selection
DATE: 2015.9.28
*/#include <cstdio>
#include <cstring>
#include <cmath>
#define REP(i, s, n) for(int i = s; i <= n; i ++)
#define REP_(i, s, n) for(int i = n; i >= s; i --)
#define MAX_N 1005using namespace std;int r, a, t;
double x[MAX_N], y[MAX_N];
double u[MAX_N], v[MAX_N], c[MAX_N];inline void init()
{scanf("%d%d%d", &r, &a, &t);REP(i, 1, a) scanf("%lf%lf", &x[i], &y[i]);REP(i, 1, r) scanf("%lf%lf%lf", &u[i], &c[i], &v[i]);
}bool map[MAX_N][MAX_N], used[MAX_N];
int G[MAX_N], ans = 0;bool find(int x)
{REP(i, 1, a){if(!used[i] && map[x][i]){used[i] = 1;if(!G[i] || find(G[i])){G[i] = x;return 1;}}}return 0;
}inline double dis(double x1, double y1, double x2, double y2)
{return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
}inline void doit()
{memset(map, 0, sizeof(map));REP(i, 1, r) REP(j, 1, a){if(v[i] * t >= dis(u[i], c[i], x[j], y[j]))map[i][j] = 1;}//REP(i, 1, r) REP(j, 1, a) printf("%d\n", map[i][j]);REP(i, 1, r){memset(used, 0, MAX_N);if(find(i)) ans ++;}printf("%d\n", ans);
}int main()
{init();doit();return 0;
}