For a given polygon g, print "1" if g is a convex polygon, "0" otherwise. Here, in a convex polygon, all interior angles are less than or equal to 180 degrees.

g is represented by a sequence of points p1, p2,..., pn where line segments connecting pi and pi+1 (1 ≤ i ≤ n-1) are sides of the polygon. The line segment connecting pn and p1 is also a side of the polygon.

Constraints

* 3 ≤ n ≤ 100
* -10000 ≤ xi, yi ≤ 10000
* No point of the polygon will occur more than once.
* Two sides of the polygon can intersect only at a common endpoint.

Input

g is given by coordinates of the points p1,..., pn in the following format:


n
x1 y1
x2 y2
:
xn yn


The first integer n is the number of points. The coordinate of a point pi is given by two integers xi and yi. The coordinates of points are given in the order of counter-clockwise visit of them.

Output

Print "1" or "0" in a line.

Examples

Input

4
0 0
3 1
2 3
0 3


Output

1


Input

5
0 0
2 0
1 1
2 2
0 2


Output

0
#include<bits/stdc++.h>
#define ll long long
#define rep(i,n) for(ll i=0;i<n;i++)
using namespace std;
const double pi = acos(-1);
const double eps = 1e-10;

static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;


template<class T>
bool equals(T a,T b){ return fabs((a)-(b)) < eps; }

struct Point{
    double x, y;
    Point(){}
    Point(double x, double y) : x(x), y(y){}
    Point operator + (Point p) { return Point(x+p.x, y+p.y); }
    Point operator - (Point p) { return Point(x-p.x, y-p.y); }
    Point operator * (double a) { return Point(x*a, y*a); }
    Point operator / (double a) { return Point(x/a, y/a); }
    double norm() {return x*x+y*y;}
    double abs() {return sqrt(norm());}

    bool operator < (const Point &p) const {
        return x!=p.x ? x<p.x : y<p.y;
    }
    bool operator > (const Point &p) const {
        return x!=p.x ? x>p.x : y>p.y;
    }
    bool operator == (const Point &p) const {
        return fabs(x-p.x) < eps && fabs(y-p.y) < eps;
    }
};

istream &operator >> (istream &is, Point &p){
    is>>p.x>>p.y;
    return is;
}
ostream &operator << (ostream &os, Point p){
    os<<p.x<<" "<<p.y;
    return os;
}

bool sort_x(Point a, Point b){ return !equals(a.x,b.x)?a.x<b.x:a.y<b.y; }
bool sort_y(Point a, Point b){ return !equals(a.y,b.y)?a.y<b.y:a.x<b.x; }

typedef Point Vector;
typedef vector<Point> Polygon;
double norm(Vector a) { return a.x*a.x+a.y*a.y; }
double abs(Vector a) { return sqrt(norm(a)); }
double dot(Vector a, Vector b) { return a.x*b.x+a.y*b.y; }
double cross(Vector a, Vector b) { return a.x*b.y-a.y*b.x; }

struct Segment {
    Point p1, p2;
    Segment(){}
    Segment(Point p1, Point p2):p1(p1),p2(p2){}
};
typedef Segment Line;

struct Circle{
    Point c;
    double r;
    Circle(){}
    Circle(Point c, double r) : c(c),r(r) {}
};

int ccw(Point p0, Point p1, Point p2){
    Vector a=p1-p0;
    Vector b=p2-p0;
    if(cross(a,b)>eps) return COUNTER_CLOCKWISE;
    if(cross(a,b)< -eps) return CLOCKWISE;
    if(dot(a,b)< -eps) return ONLINE_BACK;
    if(a.norm() < b.norm()) return ONLINE_FRONT;
    return ON_SEGMENT;
}

bool intersect(Point p1, Point p2, Point  p3, Point p4){
    return (ccw(p1,p2,p3)*ccw(p1,p2,p4)<=0&&ccw(p3,p4,p1)*ccw(p3,p4,p2)<=0);
}
bool intersect(Segment s1, Segment s2){
    return intersect(s1.p1, s1.p2, s2.p1, s2.p2);
}

bool isOrthogonal(Vector a, Vector b){
    return equals(dot(a,b), 0.0);
}
bool isOrthogonal(Point a1, Point a2, Point b1, Point b2){
    return isOrthogonal(a1-a2, b1-b2);
}
bool isOrthogonal(Segment s1, Segment s2){
    return equals(dot(s1.p2-s1.p1, s2.p2-s2.p1),0.0);
}

bool isParallel(Vector a, Vector b){
    return equals(cross(a,b), 0.0);
}
bool isParallel(Point a1, Point a2, Point b1, Point b2){
    return isParallel(a1-a2, b1-b2);
}
bool isParallel(Segment s1, Segment s2){
    return equals(cross(s1.p2-s1.p1, s2.p2-s2.p1),0.0);
}

Point project(Segment s, Point p){
    Vector base=s.p2-s.p1;
    double r=dot(p-s.p1,base)/norm(base);
    return s.p1+base*r;
}
Point reflect(Segment s,Point p){
    return p+(project(s,p)-p)*2.0;
}

double getDistance(Point a, Point b){
    return abs(a-b);
}
double getDistanceLP(Line l, Point p){
    return abs(cross(l.p2-l.p1, p-l.p1))/abs(l.p2-l.p1);
}
double getDistanceSP(Segment s, Point p){
    if(dot(s.p2-s.p1,p-s.p1) < 0.0) return abs(p-s.p1);
    if(dot(s.p1-s.p2,p-s.p2) < 0.0) return abs(p-s.p2);
    return getDistanceLP(s,p);
}
double getDistanceSS(Segment s1, Segment s2){
    if(intersect(s1,s2)) return 0.0;
    return min( min(getDistanceSP(s1,s2.p1),getDistanceSP(s1,s2.p2)),
                min(getDistanceSP(s2,s1.p1),getDistanceSP(s2,s1.p2)));
}

Point getCrossPoint(Segment s1, Segment s2){
    Vector base=s2.p2-s2.p1;
    double d1=abs(cross(base, s1.p1-s2.p1));
    double d2=abs(cross(base, s1.p2-s2.p1));
    double t=d1/(d1+d2);
    return s1.p1+(s1.p2-s1.p1)*t;
}

pair<Point, Point> getCrossPoints(Circle c, Line l){
    Vector pr=project(l,c.c);
    Vector e=(l.p2-l.p1)/abs(l.p2-l.p1);
    double base=sqrt(c.r*c.r-norm(pr-c.c));
    return make_pair(pr+e*base, pr-e*base);
}

bool isConvex(Polygon s){
    ll n=s.size();
    rep(i,n){
        if(ccw(s[(i+n-1)%n],s[i],s[(i+1)%n])==CLOCKWISE) return false;
    }
    return true;
}

double PolygonArea(Polygon s){
    double res=0.0;
    rep(i,s.size()){
        res+=cross(s[i],s[(i+1)%s.size()])/2.0;
    }
    return abs(res);
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    ll n;cin>>n;
    Polygon p(n);
    rep(i,n) cin>>p[i];
    cout<<isConvex(p)<<endl;
    return 0;
}

