There are n points on the plane, the i-th of which is at (x_i, y_i). Tokitsukaze wants to draw a strange rectangular area and pick all the points in the area.

The strange area is enclosed by three lines, x = l, y = a and x = r, as its left side, its bottom side and its right side respectively, where l, r and a can be any real numbers satisfying that l < r. The upper side of the area is boundless, which you can regard as a line parallel to the x-axis at infinity. The following figure shows a strange rectangular area.

<image>

A point (x_i, y_i) is in the strange rectangular area if and only if l < x_i < r and y_i > a. For example, in the above figure, p_1 is in the area while p_2 is not.

Tokitsukaze wants to know how many different non-empty sets she can obtain by picking all the points in a strange rectangular area, where we think two sets are different if there exists at least one point in one set of them but not in the other.

Input

The first line contains a single integer n (1 ≤ n ≤ 2 × 10^5) — the number of points on the plane.

The i-th of the next n lines contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ 10^9) — the coordinates of the i-th point.

All points are distinct.

Output

Print a single integer — the number of different non-empty sets of points she can obtain.

Examples

Input

3
1 1
1 2
1 3


Output

3


Input

3
1 1
2 1
3 1


Output

6


Input

4
2 1
2 2
3 1
3 2


Output

6

Note

For the first example, there is exactly one set having k points for k = 1, 2, 3, so the total number is 3.

For the second example, the numbers of sets having k points for k = 1, 2, 3 are 3, 2, 1 respectively, and their sum is 6.

For the third example, as the following figure shows, there are

  * 2 sets having one point; 
  * 3 sets having two points; 
  * 1 set having four points. 



Therefore, the number of different non-empty sets in this example is 2 + 3 + 0 + 1 = 6.

<image>
class seg:
    def __init__(self,n):
        self.m = 1
        while self.m < n: self.m *= 2
        self.data = [0]*(2*self.m)
    def add(self, ind, val):
        ind += self.m
        while ind:
            self.data[ind] += val
            ind >>= 1

    def summa(self, l, r):
        l += self.m
        r += self.m
        s = 0
        while l<r:
            if l&1:
                s += self.data[l]
                l += 1
            if r&1:
                r -= 1
                s += self.data[r]
            l >>= 1
            r >>= 1
        return s

def main():
    inp = readnumbers()
    ii = 0

    n = inp[ii]
    ii += 1

    X = inp[ii :ii + 2*n:2]
    Y = inp[ii + 1:ii + 2*n:2]
    ii += 2*n
    
    X2 = sorted(X)
    Y2 = sorted(Y)
    xmap = {}
    for x in X2:
        if x not in xmap:
            xmap[x] = len(xmap)
    ymap = {}
    for y in Y2:
        if y not in ymap:
            ymap[y] = len(ymap)
    X = [xmap[x] for x in X]
    Y = [ymap[y] for y in Y]

    Ybuckets = [[] for _ in range(len(ymap))]
    for i in range(n):
        Ybuckets[Y[i]].append(X[i])

    for yvec in Ybuckets:
        yvec.sort()

    ways = 0
    sumseg = seg(len(xmap))
    for yvec in reversed(Ybuckets):
        for x in yvec:
            if sumseg.summa(x, x+1)==0:
                sumseg.add(x,1)
        old_x = -1
        for x in yvec:
            ways += sumseg.summa(old_x + 1, x + 1) * (sumseg.summa(x + 1, len(xmap)) + 1)
            old_x = x
    print ways



######## Python 2 and 3 footer by Pajenegod and c1729

# Note because cf runs old PyPy3 version which doesn't have the sped up
# unicode strings, PyPy3 strings will many times be slower than pypy2.
# There is a way to get around this by using binary strings in PyPy3
# but its syntax is different which makes it kind of a mess to use.

# So on cf, use PyPy2 for best string performance.

py2 = round(0.5)
if py2:
    from future_builtins import ascii, filter, hex, map, oct, zip
    range = xrange

import os, sys
from io import IOBase, BytesIO

BUFSIZE = 8192
class FastIO(BytesIO):
    newlines = 0

    def __init__(self, file):
        self._file = file
        self._fd = file.fileno()
        self.writable = "x" in file.mode or "w" in file.mode
        self.write = super(FastIO, self).write if self.writable else None

    def _fill(self):
        s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
        self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0])
        return s

    def read(self):
        while self._fill(): pass
        return super(FastIO,self).read()

    def readline(self):
        while self.newlines == 0:
            s = self._fill(); self.newlines = s.count(b"\n") + (not s)
        self.newlines -= 1
        return super(FastIO, self).readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.getvalue())
            self.truncate(0), self.seek(0)

class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        if py2:
            self.write = self.buffer.write
            self.read = self.buffer.read
            self.readline = self.buffer.readline
        else:
            self.write = lambda s:self.buffer.write(s.encode('ascii'))
            self.read = lambda:self.buffer.read().decode('ascii')
            self.readline = lambda:self.buffer.readline().decode('ascii')


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip('\r\n')

# Cout implemented in Python
import sys
class ostream:
    def __lshift__(self,a):
        sys.stdout.write(str(a))
        return self
cout = ostream()
endl = '\n'

# Read all remaining integers in stdin, type is given by optional argument, this is fast
def readnumbers(zero = 0):
    conv = ord if py2 else lambda x:x
    A = []; numb = zero; sign = 1; i = 0; s = sys.stdin.buffer.read()
    try:
        while True:
            if s[i] >= b'0' [0]:
                numb = 10 * numb + conv(s[i]) - 48
            elif s[i] == b'-' [0]: sign = -1
            elif s[i] != b'\r' [0]:
                A.append(sign*numb)
                numb = zero; sign = 1
            i += 1
    except:pass
    if s and s[-1] >= b'0' [0]:
        A.append(sign*numb)
    return A

if __name__== "__main__":
  main()
