#include <algorithm>
#include <bitset>
#include <cstdio>
#include <cmath>
#include <vector>
using namespace std;
const int Nmax = 100005, Mmax = Nmax * 3;
struct Point {
double x, y;
};
Point points[Nmax];
pair<int, int> edges[Mmax];
int Capacity[Mmax];
vector<int> G[Nmax], Gz[Mmax];
int Zone[Mmax][2], Color[Mmax];
int deg[Mmax];
bitset<Mmax> used;
double crossProduct(const Point &o, const Point &a, const Point &b) {
return (a.x - o.x) * (b.y - o.y) - (b.x - o.x) * (a.y - o.y);
}
double dotProduct(const Point &o, const Point &a, const Point &b) {
return (a.x - o.x) * (b.x - o.x) + (a.y - o.y) * (b.y - o.y);
}
double dist(const Point &a, const Point &b) {
return (b.x - a.x) * (b.x - a.x) + (b.y - a.y) * (b.y - a.y);
}
double getSign(const double d) {
return d < 0 ? -1: 1;
}
double cosAngle(const Point &o, const Point &a, const Point &b) {
double d = dotProduct(o, a, b);
return d * d / (dist(o, a) * dist(o, b)) * getSign(d);
}
int getZones(int N, int M) {
int czones = 0;
for (int i = 1; i <= M; ++i) {
for (int j = 0; j < 2; ++j) {
if (Zone[i][j]) continue;
czones++;
int goodSign = j == 0 ? -1: 1;
for (int k = i, lastNode = edges[i].second, lastOther = edges[i].first; ;) {
if (Zone[k][lastNode == edges[k].second ? j: (j ^ 1)]) break;
Zone[k][lastNode == edges[k].second ? j: (j ^ 1)] = czones;
int goodEdge = 0;
double goodAngle = 2;
int mulSign = -1, rGoodSign = -goodSign;
for (int p: G[lastNode]) {
if (p != k) {
int other = edges[p].first == lastNode ? edges[p].second: edges[p].first;
int sign = getSign(crossProduct(points[lastOther], points[lastNode], points[other]));
if (sign == goodSign) {
mulSign = 1;
rGoodSign *= -1;
goodAngle *= -1;
break;
}
}
}
for (int p: G[lastNode]) {
if (p != k) {
int other = edges[p].first == lastNode ? edges[p].second: edges[p].first;
int sign = getSign(crossProduct(points[lastOther], points[lastNode], points[other]));
double cosAng = cosAngle(points[lastNode], points[lastOther], points[other]);
if (sign == rGoodSign && cosAng * mulSign > goodAngle * mulSign) {
goodEdge = p;
goodAngle = cosAng;
}
}
}
int node = edges[goodEdge].first == lastNode ? edges[goodEdge].second: edges[goodEdge].first;
int other = (edges[goodEdge].first ^ edges[goodEdge].second ^ node);
k = goodEdge;
lastNode = node;
lastOther = other;
}
}
}
return czones;
}
void buildZoneGraph(int N, int M) {
for (int i = 1; i <= M; ++i) {
Gz[Zone[i][0]].push_back(Zone[i][1]);
Gz[Zone[i][1]].push_back(Zone[i][0]);
}
}
void colorNewGraph(int N) {
vector<int> order;
order.reserve(N);
for (int i = 1; i <= N; ++i) {
deg[i] = Gz[i].size();
if (deg[i] < 6) {
order.push_back(i);
used[i] = 1;
}
}
for (int i = 0; i < N; ++i) {
int node = order[i];
for (int p: Gz[node]) {
deg[p]--;
if (!used[p] && deg[p] < 6) {
used[p] = 1;
order.push_back(p);
}
}
}
reverse(order.begin(), order.end());
for (int node: order) {
bool usedCol[7];
for (int i = 0; i < 7; ++i) usedCol[i] = 0;
for (int p: Gz[node])
usedCol[Color[p]] = 1;
for (int i = 1; ; ++i) {
if (!usedCol[i]) {
Color[node] = i;
break;
}
}
}
}
void setEdges(int N, int M) {
for (int i = 1; i <= M; ++i) {
Capacity[i] = Color[Zone[i][1]] - Color[Zone[i][0]];
if (Capacity[i] < 0) {
Capacity[i] = -Capacity[i];
swap(edges[i].first, edges[i].second);
}
}
}
void writeAnswer(int N, int M) {
for (int i = 1; i <= M; ++i)
printf("%d %d %d\n", edges[i].first, edges[i].second, Capacity[i]);
}
int main()
{
freopen("nowhere-zero.in", "r", stdin);
freopen("nowhere-zero.out", "w", stdout);
int N, M;
scanf("%d%d", &N, &M);
for (int i = 1; i <= N; ++i)
scanf("%lf%lf", &points[i].x, &points[i].y);
for (int i = 1; i <= M; ++i) {
scanf("%d%d", &edges[i].first, &edges[i].second);
G[edges[i].first].push_back(i);
G[edges[i].second].push_back(i);
}
int czones = getZones(N, M);
buildZoneGraph(N, M);
colorNewGraph(czones);
setEdges(N, M);
writeAnswer(N, M);
}