#include <iostream>
#include <cstdio>
#include <iomanip>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <bitset>
#include <stack>
#include <utility>
#include <numeric>
#include <algorithm>
#include <functional>
#include <cctype>
#include <complex>
#include <string>
#include <sstream>
#include <fstream>
#include <cassert>
using namespace std;

//common

typedef int  i32;
typedef long long i64,ll;
typedef long double ld;

#define BR "\n"
#define ALL(c) (c).begin(),(c).end()
#define REP(i,n) for(int i=0;i<(int)(n);++i)
#define FOR(i,l,r) for(int i=(int)l;i<(int)(r);++i)
#define EACH(it,o) for(auto it = (o).begin(); it != (o).end(); ++it)
#define IN(l,v,r) ((l)<=(v) && (v)<(r))

//config
//#define NDEBUG
//#define INF 1<<30
//#define EPS 1e-8
//const ll MOD =100000007;

//debug
#ifdef NDEBUG
#define DUMP(x)
#define DUMPLN(x)
#define DEBUG(x)
#define DEBUGLN(x)
#define LINE()
#define LINELN()
#define CHECK(exp,act)
#define STOP(e)
#else
#define DUMP(x)  cerr << #x << " = " << (x)
#define DUMPLN(x)  DUMP(x) <<endl
#define DEBUG(x) DUMP(x) << LINE() << " " << __FILE__
#define DEBUGLN(x) DEBUG(x)<<endl
#define LINE()    cerr<< " (L" << __LINE__ << ")"
#define LINELN()    LINE()<<endl
#define CHECK(exp,act)  if(exp!=act){DUMPLN(exp);DEBUGLN(act);}
#define STOP(e)  CHECK(e,true);if(!(e)) exit(1);
#endif

template<class T> inline string toString(const vector<T>& x) {
	stringstream ss;
	REP(i,x.size()){
		if(i!=0)ss<<" ";
		ss<< x[i];
	}
	return ss.str();
}

template<class T> inline string toString(const vector<vector<T> >& map) {
	stringstream ss;
	REP(i,map.size()){
		if(i!=0)ss<<BR;
		ss<< toString(map[i]);
	}
	return ss.str();
}
template<class K,class V>  string toString(map<K,V>& x) {
	string res;stringstream ss;
	for(auto& p:x)ss<< p.first<<":" << p.second<<" ";
	return ss.str();
}

string BITtoString(int bit){
    stringstream ss;
    while(bit!=0){ss<<(bit%2);bit/=2;}
    string res=ss.str();reverse(ALL(res));
    return res;
}

template<typename T,typename V> inline T pmod(T v,V MOD){
	return (v%MOD+MOD)%MOD;
}
#define nextInt(n) scanf("%d",&n)
#define defInt(n) int n;nextInt(n)
#define nextLong(n) scanf("%lld",&n)
#define defLong(n) ll n;nextLong(n)
#define nextDouble(n) scanf("%lf",&n)


int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};

class Main{
	public:

	int N;
	void run(){
		//  ifstream cin("B.in");
		// ofstream cout( "B.out" );
		
		while(true){
			int n;cin >> n;if(n==0)break;

			int M;cin >> M;
			vector<int> xs(M),ys(M);
			REP(i,M)cin >> xs[i] >> ys[i];
			

			vector<int> res;
			REP(i,n){
				int m;cin >> m;
				vector<int> xs2(m),ys2(m);
				REP(j,m)cin >> xs2[j] >> ys2[j];
				if(m!=M)continue;
				
				{
					REP(d,4){
						bool ok=true;
					
						int px1=xs[0],py1=ys[0],px2=xs2[0],py2=ys2[0];
						for(int j=1;j<M;j++){
							if(d==0 && (px1-xs[j]!=px2-xs2[j] || py1-ys[j]!=py2-ys2[j]) ){
								ok=false;
							}
							if(d==1 && (px1-xs[j]!=-(px2-xs2[j]) || py1-ys[j]!=-(py2-ys2[j])) ){
								ok=false;
							}
							if(d==2 && (px1-xs[j]!=-(py2-ys2[j]) || py1-ys[j]!=px2-xs2[j]) ){
								ok=false;
							}
							if(d==3 && (px1-xs[j]!=(py2-ys2[j]) || py1-ys[j]!=-(px2-xs2[j])) ){
								ok=false;
							}
							px1=xs[j];py1=ys[j];px2=xs2[j];py2=ys2[j];
						}
						if(ok)res.push_back(i+1);				
					}
				}
				reverse(ALL(xs2));reverse(ALL(ys2));

				{
					REP(d,4){
						bool ok=true;
						int px1=xs[0],py1=ys[0],px2=xs2[0],py2=ys2[0];
						for(int j=1;j<M;j++){
							if(d==0 && (px1-xs[j]!=px2-xs2[j] || py1-ys[j]!=py2-ys2[j]) ){
								ok=false;
							}
							if(d==1 && (px1-xs[j]!=-(px2-xs2[j]) || py1-ys[j]!=-(py2-ys2[j])) ){
								ok=false;
							}
							if(d==2 && (px1-xs[j]!=-(py2-ys2[j]) || py1-ys[j]!=px2-xs2[j]) ){
								ok=false;
							}
							if(d==3 && (px1-xs[j]!=(py2-ys2[j]) || py1-ys[j]!=-(px2-xs2[j])) ){
								ok=false;
							}
							px1=xs[j];py1=ys[j];px2=xs2[j];py2=ys2[j];
						}
						if(ok)res.push_back(i+1);					
					}
				}
			}

			res.erase(unique(ALL(res)),res.end());

			REP(i,res.size()){
				cout << res[i]<<endl;
			}
			cout <<"+++++"<<endl;

		}
	}


};
int main(){
	cout <<fixed<<setprecision(15);	
	ios::sync_with_stdio(false);
	Main().run();
	return 0;
}

Measured memory_bytes: 1224