import java.io.*; import java.math.*; import java.util.*; import static java.util.Arrays.*; public class _461 { private static final int mod = (int)1e9+7; final Random random = new Random(0); final IOFast io = new IOFast(); final double eps = 1e-9; /// MAIN CODE public void run() throws IOException { // int TEST_CASE = Integer.parseInt(new String(io.nextLine()).trim()); int TEST_CASE = 1; while(TEST_CASE-- != 0) { int n = io.nextInt(); int[][] qs = io.nextIntArray2D(n, 3); Rational[] p = new Rational[n]; List y = new ArrayList<>(); long ans = n + 1; for (int i = 0; i < n; i++) { p[i] = new Rational(qs[i][1], qs[i][1] + qs[i][2]); for (int j = 0; j < i; j++) { if (p[i].add(p[j]).compareTo(Rational.ONE) > 0 && qs[i][0] != qs[j][0]) { ans++; // dump(i, j); } } if (qs[i][0] == 0) { p[i] = Rational.ONE.sub(p[i]); y.add(p[i]); } } Collections.sort(y); for (int i = 0; i < n; i++) { if (qs[i][0] != 0) { for (int j = 0; j < i; j++) if (qs[j][0] != 0 && qs[j][0] != qs[i][0]) { if (p[i].add(p[j]).compareTo(Rational.ONE) < 0) { continue; } Rational p1 = Rational.min(p[i], p[j]); Rational p2 = p[i].add(p[j]).sub(Rational.ONE); long c1 = query(y, p1); long c2 = find(y, p2); ans += c1 - c2; } } } io.out.println(ans); } } long find(List y, Rational key) { int idx = Collections.binarySearch(y, key); if (idx < 0) return 0; return 1; } long query(List y, Rational key) { int idx = Collections.binarySearch(y, key); if (idx < 0) idx = -idx - 1; else idx++; // return y.size() - idx; return idx; } static class Rational implements Comparable { private BigInteger denominator, numerator; private static long gcd(long n, long r) { while(r != 0) { final long t = n % r; n = r; r = t; } return n; } public static Rational min(Rational r1, Rational r2) { return r1.compareTo(r2) < 0 ? r1 : r2; } public static Rational ZERO = new Rational(0, 1); public static Rational ONE = new Rational(1, 1); public static Rational TEN = new Rational(10, 1); public BigInteger denominator() { return denominator; } public BigInteger numerator() { return numerator; } public static Rational valueOf(final int x) { return new Rational(x); } public static Rational valueOf(final long x) { return new Rational(x); } public static Rational valueOf(final BigInteger x) { return new Rational(x); } public static Rational valueOf(final double x) { return new Rational(x); } public Rational() { denominator = BigInteger.ZERO; numerator = BigInteger.ONE; } public Rational(long n, long d) { if(d < 0) { d = -d; n = -n; } final long x = gcd(Math.abs(n), d); denominator = BigInteger.valueOf(d / x); numerator = BigInteger.valueOf(n / x); } public Rational(double x) { final int sign = Math.signum(x) < 0 ? -1 : 1; x = Math.abs(x); double y; final BigInteger BRADIX = BigInteger.valueOf(1L<<62); denominator = BigInteger.ONE; numerator = BigInteger.ONE; final long RADIX = 1L << 62; for(y = x; y >= 1; y /= RADIX) { numerator = numerator.multiply(BRADIX); } BigInteger b = BigInteger.ZERO; for(; y > 0; ) { y *= RADIX; final long v = (long)Math.floor(y); b = b.multiply(BRADIX).add(BigInteger.valueOf(v)); denominator = denominator.multiply(BRADIX); y -= v; } numerator = numerator.multiply(b); if(sign == -1) { numerator = numerator.negate(); } reduce(); // System.err.println(x + " " + this); } public Rational(final Rational r) { denominator = r.denominator; numerator = r.numerator; } public Rational(BigInteger n, BigInteger d) { denominator = d; numerator = n; reduce(); } public Rational(BigInteger x) { denominator = BigInteger.ONE; numerator = x; reduce(); } public Rational(final long x) { denominator = BigInteger.ONE; numerator = BigInteger.valueOf(x); } private void reduce() { final BigInteger x = numerator.gcd(denominator); if(!x.equals(BigInteger.ONE)) { numerator = numerator.divide(x); denominator = denominator.divide(x); } if(denominator.signum() == -1) { denominator = denominator.negate(); numerator = numerator.negate(); } } public Rational negate() { Rational r = new Rational(this); r.numerator = r.numerator.negate(); return r; } public Rational add(final int b) { return add(BigInteger.valueOf(b)); } public Rational add(final long b) { return add(BigInteger.valueOf(b)); } public Rational add(final BigInteger b) { return new Rational(denominator().multiply(b).add(numerator()), denominator()); } public Rational add(final Rational b) { return new Rational( numerator.multiply(b.denominator).add(denominator.multiply(b.numerator)), denominator.multiply(b.denominator)); } public Rational sub(final int b) { return sub(BigInteger.valueOf(b)); } public Rational sub(final long b) { return sub(BigInteger.valueOf(b)); } public Rational sub(final BigInteger b) { return add(b.negate()); } public Rational sub(final Rational b) { return add(b.negate()); } public Rational mul(final int b) { return mul(BigInteger.valueOf(b)); } public Rational mul(final long b) { return mul(BigInteger.valueOf(b)); } public Rational mul(final BigInteger b) { return new Rational( numerator.multiply(b), denominator); } public Rational mul(final Rational b) { return new Rational( numerator.multiply(b.numerator), denominator.multiply(b.denominator)); } public Rational div(final int b) { return div(BigInteger.valueOf(b)); } public Rational div(final long b) { return div(BigInteger.valueOf(b)); } public Rational div(final BigInteger b) { return new Rational( numerator, denominator.multiply(b)); } public Rational div(final Rational b) { return new Rational( numerator.multiply(b.denominator), denominator.multiply(b.numerator)); } public Rational pow(final int r) { return new Rational(numerator().pow(r), denominator().pow(r)); } public BigInteger floor() { return numerator().divide(denominator()); } public BigInteger ceil() { return numerator().add(denominator()).subtract(BigInteger.ONE).divide(denominator()); } public double doubleValue() { final BigInteger f = floor(); double ret = f.doubleValue(); Rational r = sub(f); final BigInteger b = BigInteger.TEN.pow(12); ret += r.mul(b).floor().doubleValue() / b.doubleValue(); return ret; } @Override public String toString() { return numerator.toString() + "/" + denominator.toString(); } @Override public int compareTo(Rational o) { return numerator().multiply(o.denominator()).compareTo(denominator().multiply(o.numerator())); } @Override public boolean equals(Object obj) { // TODO Auto-generated method stub return compareTo((Rational)obj) == 0; } } /// TEMPLATE static int gcd(int n, int r) { return r == 0 ? n : gcd(r, n%r); } static long gcd(long n, long r) { return r == 0 ? n : gcd(r, n%r); } static void swap(T[] x, int i, int j) { T t = x[i]; x[i] = x[j]; x[j] = t; } static void swap(int[] x, int i, int j) { int t = x[i]; x[i] = x[j]; x[j] = t; } void printArrayLn(int[] xs) { for(int i = 0; i < xs.length; i++) io.out.print(xs[i] + (i==xs.length-1?"\n":" ")); } void printArrayLn(long[] xs) { for(int i = 0; i < xs.length; i++) io.out.print(xs[i] + (i==xs.length-1?"\n":" ")); } static void dump(Object... o) { System.err.println(Arrays.deepToString(o)); } void main() throws IOException { // IOFast.setFileIO("rle-size.in", "rle-size.out"); try { run(); } catch (EndOfFileRuntimeException e) { } io.out.flush(); } public static void main(String[] args) throws IOException { new _461().main(); } static class EndOfFileRuntimeException extends RuntimeException { private static final long serialVersionUID = -8565341110209207657L; } static public class IOFast { private InputStream in = System.in; private PrintWriter out = new PrintWriter(System.out); private static int pos, readLen; private static final byte[] buffer = new byte[1024 * 8]; private static char[] str = new char[500*8*2]; private static boolean[] isDigit = new boolean[256]; private static boolean[] isSpace = new boolean[256]; private static boolean[] isLineSep = new boolean[256]; static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; } public byte read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new EndOfFileRuntimeException(); } } return buffer[pos++]; } public int nextInt() throws IOException { byte first = (byte)nextChar(); boolean minus = false; int res = 0; if (first == '-') { minus = true; } else { res = first - '0'; } while (true) { byte b = read(); if (isSpace[b]) break; res = res * 10 + b - '0'; } return minus ? -res : res; } public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } } int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } int reads(char[] cs, int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } cs[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(EndOfFileRuntimeException e) { ; } return Arrays.copyOf(str, len); } public String nextString() throws IOException { return new String(next()); } public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); } // public int next(char[] cs) throws IOException { int len = 0; cs[len++] = nextChar(); len = reads(cs, len, isSpace); return len; } // public double nextDouble() throws IOException { return Double.parseDouble(nextString()); } public double nextDouble() throws IOException { double res = nextChar() - '0'; while (true) { byte c = read(); if (isSpace[c]) return res; if (c == '.') break; res = res * 10 + c - '0'; } double d = 1; while (true) { byte c = read(); // dump(c); if (!isDigit[c]) break; res = res * 10 + c - '0'; d *= 10; } // dump(1); return res / d; } public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; } public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; } public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; } public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; } public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; } } }