import bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
write=sys.stdout.write
#import pypyjit
#pypyjit.set_param('max_unroll_recursion=-1')

def Declination_Sort(XY):
    class xy:
        def __init__(self,x,y):
            self.x=x
            self.y=y
        def __lt__(self,other):
            if self.y>=0 and other.y<0:
                return True
            if self.y<0 and other.y>=0:
                return False
            return self.x*other.y>self.y*other.x
    assert all(x or y for x,y in XY)
    lst=[xy(x,y) for x,y in XY]
    lst.sort()
    return [(lst[i].x,lst[i].y) for i in range(len(lst))]

N=int(readline())
mod=10**9+7
XY=[]
for n in range(N):
    x,y=map(int,readline().split())
    if x or y:
        XY.append((x,y))
        XY.append((-x,-y))
    else:
        N-=1
if not N:
    ans=1
else:
    XY=Declination_Sort(XY)
    X,Y=[0],[0]
    for x,y in XY:
        X.append(x)
        Y.append(y)
    for i in range(1,2*N+1):
        X[i]+=X[i-1]
        Y[i]+=Y[i-1]
    sum_X=sum(X)
    sum_Y=sum(Y)
    S=0
    b=0
    for x,y,xx,yy in zip(X,Y,X[1:],Y[1:]):
        S+=x*yy-y*xx
        b+=GCD(x-xx,y-yy)
    S//=2
    i=S-b//2+1
    ans=i+b
    ans%=mod
print(ans)