Problem: Fifa and Fafa are sharing a flat. Fifa loves video games and wants to download a new soccer game. Unfortunately, Fafa heavily uses the internet which consumes the quota. Fifa can access the internet through his Wi-Fi access point. This access point can be accessed within a range of r meters (this range can be chosen by Fifa) from its position. Fifa must put the access point inside the flat which has a circular shape of radius R. Fifa wants to minimize the area that is not covered by the access point inside the flat without letting Fafa or anyone outside the flat to get access to the internet.

The world is represented as an infinite 2D plane. The flat is centered at (x1, y1) and has radius R and Fafa's laptop is located at (x2, y2), not necessarily inside the flat. Find the position and the radius chosen by Fifa for his access point which minimizes the uncovered area.

Input

The single line of the input contains 5 space-separated integers R, x1, y1, x2, y2 (1 ≤ R ≤ 105, |x1|, |y1|, |x2|, |y2| ≤ 105).

Output

Print three space-separated numbers xap, yap, r where (xap, yap) is the position which Fifa chose for the access point and r is the radius of its range. 

Your answer will be considered correct if the radius does not differ from optimal more than 10 - 6 absolutely or relatively, and also the radius you printed can be changed by no more than 10 - 6 (absolutely or relatively) in such a way that all points outside the flat and Fafa's laptop position are outside circle of the access point range.

Examples

Input

5 3 3 1 1


Output

3.7677669529663684 3.7677669529663684 3.914213562373095


Input

10 5 5 5 15


Output

5.0 5.0 10.0

Solution (in JAVA):

Solution:
import java.io.InputStreamReader;
import java.io.BufferedReader;
import java.io.OutputStreamWriter;
import java.io.BufferedWriter;
import java.io.PrintWriter;
import java.io.IOException;
import java.util.*;

public class Main {
    static Reader in = null;
    static PrintWriter out = null;

    static class Point {
        long x, y;
        Point(long x, long y) {
            this.x = x;
            this.y = y;
        }
        long dist2(Point p) {
            return (this.x - p.x) * (this.x - p.x) + (this.y - p.y) * (this.y - p.y);
        }
        double dist(Point p) {
            return Math.sqrt((this.x - p.x) * (this.x - p.x) + (this.y - p.y) * (this.y - p.y));
        }
        double dist(PointReal p) {
            return Math.sqrt((this.x - p.x) * (this.x - p.x) + (this.y - p.y) * (this.y - p.y));
        }
        public String toString() {
            return "[x, y]: " + "[" + x + ", " + y + "]";
        }
    }

    static class PointReal {
        double x, y;
        PointReal(double x, double y) {
            this.x = x;
            this.y = y;
        }
        double dist(PointReal p) {
            return Math.sqrt((this.x - p.x) * (this.x - p.x) + (this.y - p.y) * (this.y - p.y));
        }
        double dist(Point p) {
            return Math.sqrt((this.x - p.x) * (this.x - p.x) + (this.y - p.y) * (this.y - p.y));
        }
        public String toString() {
            return "[x, y]: " + "[" + x + ", " + y + "]";
        }
    }

    static class Line {
        long a, b, c;
        Line(Point p1, Point p2) {
            this.a = p1.y - p2.y;
            this.b = p2.x - p1.x;
            this.c = p1.x * p2.y - p2.x * p1.y;
        }
        Line(long a, long b, long c) {
            this.a = a;
            this.b = b;
            this.c = c;
        }
        boolean isParallel(Line l) {
            return (this.a * l.b == l.a * this.b);
        }
        boolean isPerpendicular(Line l) {
            return (this.a * l.a + this.b * l.b) == 0;
        }
        PointReal intersectionWith(Line l) {
            double d = this.a * l.b - l.a * this.b;
            if(d == 0) return null;
            return new PointReal((this.b * l.c - l.b * this.c) / d, (this.c * l.a - l.c * this.a) / d);
        }
        Line getPerpendicularLineThrough(Point p) {
            return new Line(-b, a, b * p.x - a * p.y);
        }
        public String toString() {
            return "[a, b, c]: " + "[" + a + ", " + b + ", " + c + "]";
        }
    }

    static class Pair implements Comparable<Pair> {
        int x, y;
        Pair(int x, int y) {
            this.x = x;
            this.y = y;
        }
        public int compareTo(Pair p) {
            return (this.x == p.x) ? this.y - p.y : this.x - p.x;
        }
        public String toString() {
            return "[x, y]: " + "[" + x + ", " + y + "]";
        }
    }

    static double dist(double x1, double y1, double x2, double y2) {
        return Math.sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
    }

    static void solve() throws IOException {
        int r = in.nextInt();
        Point c = new Point(in.nextInt(), in.nextInt());
        Point fa = new Point(in.nextInt(), in.nextInt());
        if(fa.dist2(c) > (long)r*r) {
            out.println(c.x + " " + c.y + " " + r);
            return;
        }
        PointReal fi;
        if(c.x == fa.x && c.y == fa.y) fi = new PointReal(c.x + r / 2.0, c.y);
        else {
            double d = fa.dist(c);
            double x = c.x + 1.0 * ((c.x - fa.x) * r) / d;
            double y = c.y + 1.0 * ((c.y - fa.y) * r) / d;
            fi = new PointReal((fa.x + x)/2.0, (fa.y + y)/2.0);
        }
        out.println(fi.x + " " + fi.y + " " + fi.dist(fa));
    }

    public static void main(String[] args) {
        try {
            OutputStreamWriter osw = new OutputStreamWriter(System.out);
            BufferedWriter bw = new BufferedWriter(osw);
            in = new Reader();
            out = new PrintWriter(bw);

            solve();
//            test();

            out.close();
            bw.close();
            osw.close();
            in.close();
        }
        catch (IOException e) {
            e.printStackTrace();
        }
    }

    static void test() throws IOException {
//        probabilityChecker((int)1e5);
//        int n = in.nextInt();
//        SkipListSet ss = new SkipListSet(16);
//        for(int i=0; i<n; i++) {
//            ss.add(in.nextInt());
//            out.println("Element no. " + (1) + ": " + ss.elementAt(1));
//        }
//        int[] buf = ss.toArray();
//        for(int i=0; i<n; i++) out.println(buf[i]);
//        out.println();
//        int m = in.nextInt();
//        for(int i=0; i<m; i++) {
//            int k = in.nextInt();
//            out.println("Element removed " + k + ": " + ss.remove(k));
//            out.println("Element no. " + (i+1) + ": " + ss.elementAt(i+1));
//            printArray(ss.toArray());
//        }
//        for(int x: ss.toArray) {
//            out.println(x);
//        }

        Fruit f = Fruit.APPLE;
        Fruit[] buf = Fruit.values();
        TestUtils.shuffle(buf, new Random());
        TestUtils.printArray(buf, out);
        Arrays.sort(buf);
        TestUtils.printArray(buf, out);
    }

    static enum Fruit {
        APPLE, ORANGE, MANGO, BANANA;
    }

    static void assertion(boolean f) {
        if(!f) throw new AssertionError();
    }
    static void assertion(boolean f, String msg) {
        if(!f) throw new AssertionError(msg);
    }
    static void dbg(String msg, PrintWriter out) {
        out.println(msg);
    }

    static int huh(int mL, Random rand) {
        int h = 1;
        while(rand.nextInt() <= 0 && h < mL) h++;
        return h;
    }

    static void probabilityChecker(int n) {
        Random rand = new Random();
        int[] b = new int[16];
        for(int i=1; i<n; i++) {
            b[huh(b.length-1, rand)]++;
        }
        for(int i=0; i<16; i++) {
            out.println((double)b[i]/n);
        }
    }

    static class TestUtils {
        static <T> void shuffle(T[] a, Random rand) {
            for (int i = 1, n = a.length; i<n; i++) {
                int j = rand.nextInt(i + 1);
                T t = a[i]; a[i] = a[j]; a[j] = t;
            }
        }
        static void shuffle(int[] a, Random rand) {
            for (int i = 1, n = a.length; i<n; i++) {
                int j = rand.nextInt(i + 1);
                int t = a[i]; a[i] = a[j]; a[j] = t;
            }
        }
        static void shuffle(long[] a, Random rand) {
            for (int i = 1, n = a.length; i<n; i++) {
                int j = rand.nextInt(i + 1);
                long t = a[i]; a[i] = a[j]; a[j] = t;
            }
        }
        static void shuffle(double[] a, Random rand) {
            for (int i = 1, n = a.length; i<n; i++) {
                int j = rand.nextInt(i + 1);
                double t = a[i]; a[i] = a[j]; a[j] = t;
            }
        }
        static <T> void printArray(T[] buf, PrintWriter out) {
            out.print("[");
            for(int i=0, n = buf.length; i<n; i++) out.print(" " + buf[i]);
            out.println(" ]");
        }
        static void printArray(int[] buf, PrintWriter out) {
            out.print("[");
            for(int i=0, n = buf.length; i<n; i++) out.print(" " + buf[i]);
            out.println(" ]");
        }
        static void printArray(long[] buf, PrintWriter out) {
            out.print("[");
            for(int i=0, n = buf.length; i<n; i++) out.print(" " + buf[i]);
            out.println(" ]");
        }
        static void printArray(double[] buf, PrintWriter out) {
            out.print("[");
            for(int i=0, n = buf.length; i<n; i++) out.print(" " + buf[i]);
            out.println(" ]");
        }
    }

    static class SkipListSet {
        class Node {
            int x, h, cnt[];
            Node[] next;
            Node(int x, int h) {
                this.h = h;
                this.x = x;
                this.next = new Node[h];
                this.cnt = new int[h];
            }
        }

        Random rand;
        int maxLevel, size, pos[];
        Node head, prev[];

        SkipListSet(int maxLevel) {
            this.rand = new Random();
            this.maxLevel = maxLevel;
            this.size = 0;
            this.head = new Node(-1, maxLevel);
            this.pos = new int[maxLevel];
            this.prev = new Node[maxLevel];
        }
        int getLevel() {
            int l = 1;
            while(rand.nextInt() <= 0 && l < maxLevel) l++;
            return l;
        }
        void add(int x) {
            Node u = head, v = new Node(x, getLevel());
            int p = 0;
            for(int i=maxLevel-1; i>=0; i--) {
                for( ; u.next[i] != null && u.next[i].x < x; p += u.cnt[i], u = u.next[i]);
                if(u.next[i] != null) u.cnt[i]++;
                prev[i] = u;
                pos[i] = p;
            }
            int at = p+1;
            for(int i=0; i<v.h; i++) {
                v.next[i] = prev[i].next[i];
                prev[i].next[i] = v;
                if(v.next[i] != null) v.cnt[i] = pos[i] + prev[i].cnt[i] - at;
                prev[i].cnt[i] = at - pos[i];
            }
            this.size++;
        }
        boolean remove(int x) {
            Node u = head, v = null;
            for(int i=maxLevel-1, at = 0; i>=0; i--) {
                for( ; u.next[i] != null && u.next[i].x < x; at += u.cnt[i], u = u.next[i]);
                if(u.next[i] != null && u.next[i].x == x) {
                    if(v == null) v = u.next[i];
                    else for( ; u.next[i] != v; at += u.cnt[i], u = u.next[i]);
                }
                if(u.next[i] != null) u.cnt[i]--;
                prev[i] = u;
            }
            if(v == null) return false;
            for(int i=0; i<v.h; i++) {
                prev[i].next[i] = v.next[i];
                prev[i].cnt[i] = prev[i].cnt[i] + v.cnt[i];
            }
            this.size--;
            return true;
        }
        int getIndex(int x) {
            Node u = head;
            for(int i=maxLevel-1, at = 0; i>=0; i--) {
                for( ; u.next[i] != null && u.next[i].x < x; at += u.cnt[i], u = u.next[i]);
                if(u.next[i] != null && u.next[i].x == x) return at;
            }
            return -1;
        }
        int elementAt(int k) {
            Node u = head;
            for(int i=maxLevel-1, at = 0; i >= 0; i--) {
                for( ; u.next[i] != null && u.cnt[i] + at < k; at += u.cnt[i], u = u.next[i]);
                if(u.next[i] != null && u.cnt[i] + at == k) return u.next[i].x;
            }
            return Integer.MAX_VALUE;
        }
//        int first() {
//            return (size == 0) ? Integer.MAX_VALUE : head.next[0].x;
//        }
//        int last() {
//            Node u = head;
//            for(int i=maxLevel-1; i>=0; i--) while(u.next[i] != null) u = u.next[i];
//            return (size == 0) ? Integer.MAX_VALUE : u.x;
//        }
        int[] toArray() {
            int[] buf = new int[size];
            Node u = head.next[0];
            for(int i=0; i<size; i++) {
                buf[i] = u.x;
                u = u.next[0];
            }
            return buf;
        }
    }

    static class Reader {
        InputStreamReader isr = new InputStreamReader(System.in);
        BufferedReader br = new BufferedReader(isr);
        StringTokenizer tk = new StringTokenizer("");
        String s = null;

        String nextLine() throws IOException {
            while((s = br.readLine()) != null && s.length() == 0);
            return s;
        }
        String next() throws IOException {
            if(!tk.hasMoreTokens()) tk = new StringTokenizer(nextLine());
            return tk.nextToken();
        }
        int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
        long nextLong() throws IOException {
            return Long.parseLong(next());
        }
        double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
        void close() throws  IOException {
            br.close();
            isr.close();
        }
    }
}