#include <bits/stdc++.h>
using namespace std;

using ld = long double;

constexpr ld eps = 1e-8;
constexpr ld pi = std::acos(-1.0);

using pii = pair<int, int>;

namespace geometry2d {


using point = std::complex<long double>;
using polygon = std::vector<point>;


bool eq(long double a, long double b) {
    return (std::abs(a-b) < eps);
}

long double dot(point a, point b) {
    return std::real(std::conj(a) * b);
}

long double cross(point a, point b) {
    return std::imag(std::conj(a) * b);
}


class segment {
public:
    segment()
        : a(point(0, 0)),
          b(point(0, 0))
    {}
    segment(point a_, point b_)
        : a(a_), b(b_)
    {}

    point a, b;
};

class line {
public:
    line()
        : a(point(0, 0)), b(point(0, 0))
    {}
    line(point a_, point b_)
        : a(a_), b(b_)
    {}
    line(segment s)
        : a(s.a), b(s.b)
    {}

    point a, b;
};

int ccw(point a, point b, point c) {
    b -= a; c -= a;
    if(cross(b, c) > eps)           return 1;  // a -> b -> c : counterclockwise
    if(cross(b, c) < -eps)          return -1; // a -> b -> c : clockwise
    if(dot(b, c) < 0)               return 2;  // c -> a -> b : line
    if(std::norm(b) < std::norm(c)) return -2; // a -> b -> c : line
    return 0;                                  // a -> c -> b : line
}


bool isis_ll(line l, line m) {
    return !eq(cross(l.b - l.a, m.b - m.a), 0);
}

bool isis_ls(line l, segment s) {
    return (cross(l.b - l.a, s.a - l.a) * cross(l.b - l.a, s.b - l.a) < eps);
}

bool isis_lp(line l, point p) {
    return (std::abs(cross(l.b - p, l.a - p)) < eps);
}

bool isis_sp(segment s, point p) {
    return (std::abs(s.a - p) + std::abs(s.b - p) - std::abs(s.b - s.a) < eps);
}

bool isis_ss(segment s, segment t) {
    return ccw(s.a, s.b, t.a) * ccw(s.a, s.b, t.b) <= 0
        && ccw(t.a, t.b, s.a) * ccw(t.a, t.b, s.b) <= 0;
}


point proj(line l, point p) {
    long double t = dot(p - l.a, l.a - l.b) / std::norm(l.a - l.b);
    return l.a + t * (l.a - l.b);
}

point is_ll(line s, line t) {
    point sv = s.b - s.a, tv = t.b - t.a;
    assert(cross(sv, tv) != 0);
    return s.a + sv * cross(tv, t.a - s.a) / cross(tv, sv);
}

long double dist_lp(line l, point p) {
    return std::abs(p - proj(l, p));
}

long double dist_ll(line l, line m) {
    return isis_ll(l, m) ? 0 : dist_lp(l, m.a);
}

long double dist_ls(line l, segment s) {
    return isis_ls(l, s) ? 0 : std::min(dist_lp(l, s.a), dist_lp(l, s.b));
}

long double dist_sp(segment s, point p) {
    point r = proj(line(s), p);
    return isis_sp(s, r) ? std::abs(r - p) : std::min(std::abs(s.a - p), std::abs(s.b - p));
}

long double dist_ss(segment s, segment t) {
    if(isis_ss(s, t)) return 0;
    long double d1 = std::min(dist_sp(s, t.a), dist_sp(s, t.b));
    long double d2 = std::min(dist_sp(t, s.a), dist_sp(t, s.b));
    return std::min(d1, d2);
}

// 0 -> on, 1 -> in, 2 -> out
int is_in_polygon(polygon const& poly, point p) {
    int N = poly.size();
    ld sum = 0;
    for(int i=0; i<N; ++i) {
        point p1 = poly[i], p2 = poly[(i+1)%N];
        if(isis_sp(segment(p1, p2), p)) {
            return 0;
        }
        sum += arg((p2 - p) / (p1 - p));
    }
    return std::abs(sum) < pi / 2 ? 2 : 1;
}

point reflection(line const& l, point p) {
    auto pro = proj(l, p);
    return p + (pro - p) + (pro - p);
}

polygon convex_hull(vector<point> ps) {
    sort(ps.begin(), ps.end(), [&](point const& p1, point const& p2) {
        if(real(p1) == real(p2)) {
            return imag(p1) < imag(p2);
        }
        return real(p1) < real(p2);
    });
    const int n = ps.size();
    int k = 0;
    polygon qs(2*n);
    for(int i=0; i<n; ++i) {
        while(k > 1 && ccw(qs[k-2], qs[k-1], ps[i]) <= 0) {
            k--;
        }
        qs[k++] = ps[i];
    }
    for(int i=n-2, t = k; i>=0; --i) {
        while(k > t && ccw(qs[k-2], qs[k-1], ps[i]) <= 0) {
            k--;
        }
        qs[k++] = ps[i];
    }
    qs.resize(k-1);
    return qs;
}


line separate(point const& p1, point const& p2) {
    assert(p1 != p2);
    auto m = (p1 + p2) * point(0.5, 0);
    line res;
    res.a = m + (m - p1) * point(0, 1);
    res.b = m + (m - p1) * point(0, -1);
    return res;
}


} // namespace geometry2d

using namespace geometry2d;


int main() {
    int N;
    cin >> N;
    set<pii> ps;
    polygon poly;
    double gx = 0, gy = 0;
    for(int i = 0; i < N; ++i) {
        int x, y;
        cin >> x >> y;
        gx += x;
        gy += y;
        ps.insert(make_pair(x, y));
        poly.emplace_back(x, y);
    }

    bool ok = false;
    for(int i = 2; i < N; ++i) {
        if(abs(cross(poly[1] - poly[i], poly[0] - poly[i])) > eps) {
            ok = true;
        }
    }
    if(!ok) {
        cout << "No" << endl;
        return 0;
    }

    sort(poly.begin(), poly.end(), [gx, gy](auto const& p1, auto const& p2) {
        return arg(p1 - point(gx, gy)) < arg(p2 - point(gx, gy));
    });
    poly = convex_hull(poly);
    vector<line> ls;
    int const m = poly.size();
    for(int i = 0; i < (int)poly.size(); ++i) {
        ls.emplace_back(poly[i], poly[i + m / 2]);
        ls.emplace_back(separate(poly[i], poly[(i + 1) % m]));
    }


    for(auto& l : ls) {
        ok = true;
        int on_line = 0;
        for(auto& p : ps) {
            auto ref = reflection(l, point(p.first, p.second));
            auto x = real(ref), y = imag(ref);
            if(abs(x - round(x)) > eps || abs(y - round(y)) > eps) {
                ok = false;
                break;
            }
            int ix = round(x), iy = round(y);
            if(ps.count(make_pair(ix, iy)) == 0) {
                ok = false;
                break;
            }
            on_line += make_pair(ix, iy) == p;
        }
        if(ok && on_line <= 2) {
            cout << "Yes" << endl;
            return 0;
        }
    }

    cout << "No" << endl;
}


Measured memory_bytes: 3384