import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }


alias Pt = Tuple!(long, "x", long, "y");

void main() {
  try {
    for (; ; ) {
      const N = readInt();
      auto P = new Pt[N];
      foreach (i; 0 .. N) {
        P[i].x = readLong();
        P[i].y = readLong();
      }
      
      Pt[] dirs;
      foreach (i; 0 .. N) foreach (j; 0 .. N) {
        if (i != j) {
          long dx = P[j].x - P[i].x;
          long dy = P[j].y - P[i].y;
          const g = gcd(abs(dx), abs(dy));
          dirs ~= Pt(dy / g, -dx / g);
        }
      }
      dirs.sort!((const(Pt) p, const(Pt) q) {
        const sp = (p.y > 0) ? 1 : (p.y < 0) ? 3 : (p.x > 0) ? 0 : 2;
        const sq = (q.y > 0) ? 1 : (q.y < 0) ? 3 : (q.x > 0) ? 0 : 2;
        return ((sp != sq) ? (sp < sq) : (p.x * q.y - p.y * q.x > 0));
      });
      dirs = dirs.uniq.array;
      const dirsLen = cast(int)(dirs.length);
      
      auto pss = new int[][](dirsLen, N + 1);
      foreach (j; 0 .. dirsLen) {
        const xMid = dirs[j].x + dirs[(j + 1) % $].x;
        const yMid = dirs[j].y + dirs[(j + 1) % $].y;
        alias Entry = Tuple!(long, "val", int, "key");
        auto es = new Entry[N];
        foreach (i; 0 .. N) {
          es[i] = Entry(xMid * P[i].x + yMid * P[i].y, i);
        }
        es.sort;
        pss[j][0] = 0;
        foreach (i; 0 .. N) {
          pss[j][i + 1] = pss[j][i] | 1 << es[i].key;
        }
        debug {
          writefln("(%s, %s): %s", xMid, yMid, es.map!"a.key");
        }
      }
      
      auto used = new bool[1 << N];
      foreach (j0; 0 .. dirsLen) foreach (j1; j0 .. dirsLen) foreach (j2; j1 .. dirsLen) {
        if (j2 < j0 + dirsLen / 2) continue;
        if (j0 + dirsLen < j1 + dirsLen / 2) continue;
        if (j1 + dirsLen < j2 + dirsLen / 2) continue;
        foreach (i0; 0 .. N + 1) foreach (i1; 0 .. N + 1) foreach (i2; 0 .. N + 1) {
          used[pss[j0][i0] | pss[j1][i1] | pss[j2][i2]] = true;
        }
      }
      
      const ans = cast(int)(used.count(true));
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}