#include #define GET_MACRO(a, b, c, NAME, ...) NAME #define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2)(__VA_ARGS__) #define rep2(i, a) rep3 (i, 0, a) #define rep3(i, a, b) for (int i = (a); i < (b); i++) #define repr(...) GET_MACRO(__VA_ARGS__, repr3, repr2)(__VA_ARGS__) #define repr2(i, a) repr3 (i, 0, a) #define repr3(i, a, b) for (int i = (b) - 1; i >= (a); i--) template inline bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); } template inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } using namespace std; typedef long long ll; typedef ll D; typedef complex P; const D eps = 0; D dot(P a, P b) { return real(conj(a) * b); } D cross(P a, P b) { return imag(conj(a) * b); } bool comp(P a, P b) { if (a.real() != b.real()) return a.real() < b.real(); return a.imag() < b.imag(); } vector

convexfull(vector

&ps) { int n = ps.size(); sort(ps.begin(), ps.end(), comp); int k = 0; vector

qs(n * 2); for (int i = 0; i < n; i++) { while (k > 1 && cross(qs[k - 1] - qs[k - 2], ps[i] - qs[k - 1]) <= 0) k--; qs[k++] = ps[i]; } for (int i = n - 2, t = k; i >= 0; i--) { while (k > t && cross(qs[k - 1] - qs[k - 2], ps[i] - qs[k - 1]) <= 0) k--; qs[k++] = ps[i]; } qs.resize(k - 1); return qs; } int ccw(P a, P b, P c) { b -= a; c -= a; if (cross(b, c) > eps) return 1; if (cross(b, c) < -eps) return -1; if (dot(b, c) < -eps) return 2; if (norm(b) < norm(c)) return -2; return 0; } bool intersectSS(P p1, P p2, P p3, P p4) { return ccw(p1, p2, p3) * ccw(p1, p2, p4) <= 0 && ccw(p3, p4, p1) * ccw(p3, p4, p2) <= 0; } P intersection(P p1, P p2, P q1, P q2) { P base = q2 - q1; D d1 = abs(cross(base, p1 - q1)); D d2 = abs(cross(base, p2 - q1)); D g = __gcd(d1, d2); d1 /= g; d2 /= g; return (p1 * d2 + p2 * d1) / (d1 + d2); } bool contains(P r, vector

poly) { int n = poly.size(); int count = 0; rep (i, n) { P p = poly[(i + 1) % n] - poly[i], q = r - poly[i]; if (cross(p, q) >= -eps) count++; } return count == n; } vector

convex_intersection(vector

ps, vector

qs) { vector

rs; int a = ps.size(), b = qs.size(); rep (i, a) if (contains(ps[i], qs)) rs.push_back(ps[i]); rep (i, b) if (contains(qs[i], ps)) rs.push_back(qs[i]); rep (i, a) rep (j, b) { P p1 = ps[i], p2 = ps[(i + 1) % a]; P q1 = qs[j], q2 = qs[(j + 1) % b]; if (intersectSS(p1, p2, q1, q2)) { rs.push_back(intersection(p1, p2, q1, q2)); } } sort(rs.begin(), rs.end(), comp); rs.erase(unique(rs.begin(), rs.end()), rs.end()); if (rs.size() <= 1) return rs; return convexfull(rs); } D count_lattice(P p, P q) { D dx = abs(real(p) - real(q)); D dy = abs(imag(p) - imag(q)); return __gcd(dx, dy); } D count_lattice(vector

ps) { int n = ps.size(); if (n == 0) return 0; D b = 0, S = 0; rep (i, n) { P p = ps[i], q = ps[(i + 1) % n]; b += count_lattice(p, q); S += cross(p, q); } return b + (S - b + 2) / 2; } int main() { D x1, y1, x2, y2, d; cin >> x1 >> y1 >> x2 >> y2 >> d; if (d == 0) { if (x1 <= 0 && 0 <= x2 && y1 <= 0 && 0 <= y2) { cout << 1 << endl; } else { cout << 0 << endl; } return 0; } vector

R1 = {{x1, y1}, {x2, y1}, {x2, y2}, {x1, y2}}; vector

R2 = {{d, 0}, {0, d}, {-d, 0}, {0, -d}}; cout << (ll)count_lattice(convex_intersection(R1, R2)) << endl; return 0; }