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-12; /// MAIN CODE public void run() throws IOException { if (true) { tle(); return; } // 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); long ans = 1; for (int i = 0; i < n; i++) { ans++; for (int j = 0; j < i; j++) { int c1 = cross(qs[i], qs[j]); if (c1 == -1) continue; if (c1 == 1) ans++; for (int k = 0; k < j; k++) { if (qs[i][0] == qs[k][0]) continue; if (qs[j][0] == qs[k][0]) continue; if (degenerated(qs[i], qs[j], qs[k])) continue; if (triangle(qs[i], qs[j], qs[k])) ans++; } } } io.out.println(ans); } } // p[i] = q[i][1] / (q[i][1] + q[i][2]) // p[i] + p[j] - 1 + p[j] + p[k] - 1 = p[j] // p[i] + p[j] + p[k] = 2 int cross(int[] q1, int[] q2) { if (q1[0] == q2[0]) return -1; long r1 = q1[1] + q1[2]; long r2 = q2[1] + q2[2]; // long cmp = q1[1] / (q1[1] + q1[2]) + q2[1] / (q2[1] + q2[2]) > 1; long cmp = q1[1] * r2 + q2[1] * r1 - r1 * r2; return cmp > 0 ? 1 : cmp < 0 ? -1 : 0; } boolean triangle(int[] q1, int[] q2, int[] q3) { long r1 = q1[1] + q1[2]; long r2 = q2[1] + q2[2]; long r3 = q3[1] + q3[2]; return q1[1] * r2 + q2[1] * r1 >= r1 * r2 && q1[1] * r3 + q3[1] * r1 >= r1 * r3 && q2[1] * r3 + q3[1] * r2 >= r2 * r3; } boolean degenerated(int[] q1, int[] q2, int[] q3) { long r1 = q1[1] + q1[2]; long r2 = q2[1] + q2[2]; long r3 = q3[1] + q3[2]; return q1[1] * r2 * r3 + q2[1] * r1 * r3 + q3[1] * r1 * r2 == 2 * r1 * r2 * r3; } void mistake() throws IOException { int n = io.nextInt(); int[][] qs = io.nextIntArray2D(n, 3); double[] p = new double[n]; List y = new ArrayList<>(); long ans = n + 1; for (int i = 0; i < n; i++) { p[i] = (double)qs[i][1] / (qs[i][1] + qs[i][2]); if (qs[i][0] == 0) { y.add(p[i]); } } Collections.sort(y); for (int i = 0; i < n; i++) { for (int j = 0; j < i; j++) if (qs[i][0] != qs[j][0]) { if (p[i] + p[j] - eps > 1) { ans++; } if (qs[i][0] == 0 || qs[j][0] == 0) continue; // dump(p[i] + p[j]); if (p[i] + p[j] + eps < 1) continue; double p1 = Math.min(p[i], p[j]); double p2 = 2 - p[i] - p[j]; // p3 >= 1-min(p1,p2) ans += query(y, 1 - p1); // degenerated : p1 + p2 + p3 == 2 ans -= find(y, p2); // dump(i, j, query(y, p1), find(y, p2)); } } io.out.println(ans); } long find(List y, double key) { int idx = Collections.binarySearch(y, key - eps); if (idx < 0) idx = -idx - 1; if (idx >= y.size()) return 0; return Math.abs(y.get(idx) - key) <= eps ? 1 : 0; } long query(List y, double key) { int idx = Collections.binarySearch(y, key - eps); if (idx < 0) idx = -idx - 1; // else idx--; return y.size() - idx; // return idx; } void tle() throws IOException { int n = io.nextInt(); int[][] qs = io.nextIntArray2D(n, 3); RationalLong[] p = new RationalLong[n]; List y = new ArrayList<>(); long ans = n + 1; for (int i = 0; i < n; i++) { p[i] = new RationalLong(qs[i][1], qs[i][1] + qs[i][2]); if (qs[i][0] == 0) { y.add(p[i]); } } Collections.sort(y); RationalLong two = RationalLong.ONE.mul(2); RationalLong pij = new RationalLong(); RationalLong p2 = new RationalLong(); RationalLong p3 = new RationalLong(); for (int i = 0; i < n; i++) { for (int j = 0; j < i; j++) if (qs[i][0] != qs[j][0]) { pij.add(p[i], p[j]); if (pij.compareTo(RationalLong.ONE) > 0) { ans++; } if (pij.compareTo(RationalLong.ONE) < 0) continue; if (qs[i][0] == 0 || qs[j][0] == 0) continue; RationalLong p1 = RationalLong.min(p[i], p[j]); p2.sub(two, pij); p3.sub(RationalLong.ONE, p1); // p3 >= 1-min(p1,p2) ans += query(y, p3); // degenerated : p1 + p2 + p3 == 2 ans -= find(y, p2); // dump(i, j, query(y, p3), find(y, p2)); } } io.out.println(ans); } long find(List y, RationalLong key) { int idx = Collections.binarySearch(y, key); if (idx < 0) return 0; return 1; } long query(List y, RationalLong key) { int idx = Collections.binarySearch(y, key); if (idx < 0) idx = -idx - 1; // else idx--; return y.size() - idx; // return idx; } static class RationalLong implements Comparable { private long 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 RationalLong min(RationalLong r1, RationalLong r2) { return r1.compareTo(r2) < 0 ? r1 : r2; } public static RationalLong ZERO = new RationalLong(0, 1); public static RationalLong ONE = new RationalLong(1, 1); public static RationalLong TEN = new RationalLong(10, 1); public long denominator() { return denominator; } public long numerator() { return numerator; } public static RationalLong valueOf(final int x) { return new RationalLong(x); } public static RationalLong valueOf(final long x) { return new RationalLong(x); } public RationalLong() { denominator = 0; numerator = 1; } public RationalLong(long n, long d) { if(d < 0) { d = -d; n = -n; } final long x = gcd(Math.abs(n), d); denominator = d / x; numerator = n / x; } public RationalLong(final RationalLong r) { denominator = r.denominator; numerator = r.numerator; } public RationalLong(final long x) { denominator = 1; numerator = x; } private void reduce() { final long x = gcd(numerator, denominator); if (x == 0) return; if(x != 1) { numerator = numerator / x; denominator = denominator / x; } if(denominator < 0) { denominator = -denominator; numerator = -numerator; } } public RationalLong negate() { RationalLong r = new RationalLong(this); r.numerator = -r.numerator; return r; } public RationalLong add(final long b) { return new RationalLong(denominator() * b + numerator(), denominator()); } public RationalLong add(final RationalLong b) { return new RationalLong( numerator * b.denominator + denominator * b.numerator, denominator * b.denominator); } public void add(final RationalLong a, final RationalLong b) { this.numerator = a.numerator * b.denominator + a.denominator * b.numerator; this.denominator = a.denominator * b.denominator; reduce(); } public RationalLong sub(final long b) { return add(-b); } public RationalLong sub(final RationalLong b) { return add(b.negate()); } public void sub(final RationalLong a, final RationalLong b) { this.numerator = a.numerator * b.denominator - a.denominator * b.numerator; this.denominator = a.denominator * b.denominator; reduce(); } public RationalLong mul(final long b) { return new RationalLong(b * numerator(), denominator()); } public RationalLong mul(final RationalLong b) { return new RationalLong( numerator * b.numerator, denominator * b.denominator); } public RationalLong div(final long b) { return new RationalLong(numerator(), denominator() * b); } public RationalLong div(final RationalLong b) { return new RationalLong( numerator * b.denominator, denominator * b.numerator); } @Override public String toString() { return numerator + "/" + denominator; } @Override public int compareTo(RationalLong o) { return Long.compare(numerator * o.denominator, denominator * o.numerator); } @Override public boolean equals(Object obj) { // TODO Auto-generated method stub return compareTo((RationalLong)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; } } }