#ifdef LOCAL111 #else #define NDEBUG #endif #include const int INF = 1e8; using namespace std; #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #define RBP(i,a) for(auto& i : a) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef pair P; typedef long long int LL; typedef unsigned long long ULL; typedef pair LP; void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } //library #define EPS (1e-10) #define equal(a, b) (fabs((a) - (b)) < EPS) class Point { public: double x,y; Point(double x = 0,double y = 0): x(x), y(y) {} Point operator+ (const Point &p) { return Point(x + p.x, y + p.y); } Point operator- (const Point &p) { return Point(x - p.x, y - p.y); } Point operator* (double k) { return Point(x * k, y * k); } Point operator/ (double k) { return Point(x / k, y / k); } void operator+= (const Point &p) { x += p.x; y += p.y; } 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; } bool operator!= (const Point &p) const { return !(Point(x,y) == p); } }; typedef Point Vector; class Segment { public: Point p1, p2; Segment(Point p1 = Point(0,0), Point p2 = Point(0,0)): p1(p1), p2(p2) {} }; typedef Segment Line; class Circle { public: Point c; double r; Circle(Point c = Point(), double r = 0.0): c(c), r(r) {}; }; typedef vector Polygon; double norm(Vector a); double abs(Vector a); double dot(Vector a, Vector b); double cross(Vector a, Vector b); bool isParallel(Vector v1, Vector v2); bool isOrthogonal(Vector v1, Vector v2); bool isParallel(Segment s1, Segment s2) ; bool isOrthogonal(Segment s1, Segment s2); Vector project(Vector v1, Vector v2); Point project(Line s, Point p); Point reflect(Line l, Point p); double getDistance(Point a, Point b); double getDistanceLP(Line l, Point p); double getDistance(Segment a, Point b); int ccw(Point p0, Point p1, Point p2); bool intersect(Point p0, Point p1, Point p2, Point p3); bool intersect(Segment a, Segment b); bool intersect(Circle c, Line s); bool intersect(Circle a, Circle b); double getDistance(Segment a, Segment b); pair getCrossPoints(Circle c, Line l); 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; } bool isParallel(Vector v1, Vector v2) { return equal(cross(v1, v2), 0.0); } bool isOrthogonal(Vector v1, Vector v2) { return equal(dot(v1, v2), 0.0); } bool isParallel(Segment s1, Segment s2) { return equal(cross(s1.p1 - s1.p2, s2.p1 - s2.p2), 0.0); } bool isOrthogonal(Segment s1, Segment s2) { return equal(dot(s1.p1 - s1.p2, s2.p1 - s2.p2), 0); } Vector project(Vector v1, Vector v2){ return v1 * (dot(v1, v2) / v1.norm()); } Point project(Line s, Point p){ return project(s.p2 - s.p1, p - s.p1) + s.p1; } Point reflect(Line l, Point p){ return (project(l, p) - p) * 2 + p; } double getDistance(Point a, Point b) { return (a-b).abs(); } double getDistanceLP(Line l, Point p) { return abs(cross(l.p2 - l.p1, p - l.p1) / abs(l.p2 - l.p1)); } double getDistance(Segment a, Point b) { if(dot(a.p2 - a.p1, b - a.p1) < 0) return (b - a.p1).abs(); if(dot(a.p1 - a.p2, b - a.p2) < 0) return (b - a.p2).abs(); return getDistanceLP(a, b); } static const int COUNTER_CLOCKWISE = 1; static const int CLOCKWISE = -1; static const int ONLINE_FRONT = 2; static const int ONLINE_BACK = -2; static const int ON_SEGMENT = 0; 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 p0, Point p1, Point p2, Point p3){ return ccw(p0,p1,p2)*ccw(p0,p1,p3) <= 0 && ccw(p2,p3,p0)*ccw(p2,p3,p1) <= 0; } bool intersect(Segment a, Segment b){ return intersect(a.p1, a.p2, b.p1, b.p2); } bool intersect(Circle c, Line s){ return getDistance(s, c.c)-c.r < EPS; } bool intersect(Circle a, Circle b){ return getDistance(a.c, b.c) < a.r+b.r+EPS; } double getDistance(Segment a, Segment b) { if(intersect(a, b)) return 0; else return min({getDistance(a, b.p1), getDistance(a, b.p2), getDistance(b, a.p1), getDistance(b, a.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 getCrossPoints(Circle c, Line l){ assert(intersect(c,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); } double arg(Vector p) { return atan2(p.y, p.x); } Vector polar(double a, double r){ return Point(cos(r)*a, sin(r)*a); } pair getCrossPoints(Circle c1, Circle c2) { assert(intersect(c1, c2)); double d = abs(c1.c-c2.c); double a = acos((c1.r * c1.r + d * d - c2.r * c2.r)/(2 * c1.r * d)); double t = arg(c2.c - c1.c); return make_pair(c1.c+polar(c1.r, t+a), c1.c+polar(c1.r, t-a)); } //library const int dx[] = {-1,1,-1,1}; const int dy[] = {-1,1,1,-1}; int main() { ios_init(); Point p; int r; cin >> p.x >> p.y >> r; Point pa[4]; double rt = sqrt(2); rt = 1./rt; REP(i,4){ pa[i] = p; pa[i].x += dx[i]*rt*r; pa[i].y += dy[i]*rt*r; DEBUG(pa[i].x); DEBUG(pa[i].y); } int di = 1; while(true){ DEBUG(di); bool f = true; REP(i,4){ REP(j,4){ if(!((dy[j]*pa[i].y <= dy[j]*(dx[j]*pa[i].x+dy[j]*di)))){ DEBUG(pa[i].y); DEBUG(pa[i].x); f = false; goto END; } } } END: if(f){ cout << di << endl; break; } di++; } return 0; }