from math import gcd, sqrt, acos, pi
from collections import deque
mod = 10**9+7

class Point:
    def __init__(self, px, py):
        self.px = px
        self.py = py

def operator(a1, a2):
    return Point(a1.px - a2.px, a1.py - a2.py)

def getangle(G):
    # 点 G の偏角を求める
    if G.py >= 0.0:
        I = G.px / sqrt(pow(G.px, 2) + pow(G.py, 2))
        kaku = acos(I) * 180.0 / pi
        return kaku
    else:
        I = G.px / sqrt(pow(G.px, 2) + pow(G.py, 2))
        kaku = acos(I) * 180.0 / pi
        return 360.0 - kaku

# 点 p1 と p2 の外積を求める
def crs(p1, p2):
    return p1.px * p2.py - p1.py * p2.px

N = int(input())
A,B = [],[]
for i in range(N):
    a,b = map(int,input().split())
    if a == 0 and b == 0:
        continue
    if b < 0:
        a *= -1
        b *= -1
    A.append(a)
    B.append(b)
N = len(A)

vec = []
for i in range(N):
    SA = operator(Point(0, 0), Point(A[i], B[i]))
    angle = getangle(SA)
    vec.append([angle, i])
vec.sort()

P = [Point(0, 0)]
Q = [Point(0, 0)]
x,y = 0,0
for i in range(N):
    idx = vec[i][1]
    x += A[idx]
    y += B[idx]
    P.append(Point(x, y))
x,y = 0,0
for i in range(N):
    idx = vec[N-i-1][1]
    x += A[idx]
    y += B[idx]
    Q.append(Point(x, y))

G = []
for i in range(N+1):
    G.append(P[i])
for i in range(N-1,0,-1):
    G.append(Q[i])
if len(G) == 1:
    print(1)
    exit()

G1 = deque()
G2 = deque()
Totsuhou = []
G1.append(G[0])
G2.append(G[0])
G1.append(G[1])
G2.append(G[1])
for i in range(2,len(G)):
    while len(G1) >= 2 and crs(operator(G1[len(G1)-1], G1[len(G1)-2]), operator(G[i], G1[len(G1)-1])) <= 0:
        G1.pop()
    while len(G2) >= 2 and crs(operator(G2[len(G2)-1], G2[len(G2)-2]), operator(G[i], G2[len(G2)-1])) >= 0:
        G2.pop()
    G1.append(G[i])
    G2.append(G[i])
G1 = list(G1)
G2 = list(G2)
for i in range(len(G1)):
    Totsuhou.append(G1[i])
for i in range(len(G2)-2,0,-1):
    Totsuhou.append(G2[i])

EdgePoint = len(Totsuhou)
for i in range(len(Totsuhou)):
    ax = Totsuhou[(i+0) % len(Totsuhou)].px
    ay = Totsuhou[(i+0) % len(Totsuhou)].py
    bx = Totsuhou[(i+1) % len(Totsuhou)].px
    by = Totsuhou[(i+1) % len(Totsuhou)].py
    vx = abs(bx - ax)
    vy = abs(by - ay)
    r = gcd(vx, vy)
    EdgePoint += r - 1

Area = 0
for i in range(len(Totsuhou)):
    ax = Totsuhou[(i+0) % len(Totsuhou)].px
    ay = Totsuhou[(i+0) % len(Totsuhou)].py
    bx = Totsuhou[(i+1) % len(Totsuhou)].px
    by = Totsuhou[(i+1) % len(Totsuhou)].py
    Area += (bx - ax) * (by + ay)
Area = abs(Area)

Answer = Area + EdgePoint + 2
print(Answer // 2 % mod)