import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Comparator; import java.util.HashMap; import java.util.NoSuchElementException; public class Main { public static void main(String[] args) { IO io = new IO(); int n = io.nextInt(); if (n == 0) { System.out.println(1); return; } Vector2[] r = new Vector2[n]; HashMap hm = new HashMap<>(); for(int i=0;i 100) { continue; } long hash = hash(r[i].x+x,r[i].y+y); if (hm.containsKey(hash)) { uf.union(i, hm.get(hash)); } } } } long maxSq = 0; ArrayList> groups = uf.groups(); for(ArrayList group:groups) { Vector2[] p = new Vector2[group.size()]; for(int i=0;i0) { return (0<=a1&&a1<=a&&0<=a2&&a2<=a); }else{ return (a<=a1&&a1<=0&&a<=a2&&a2<=0); } } } public static Vector2[] convexHull(Vector2[] p) { int n = p.length; int k = 0; Arrays.sort(p,new LexicographicalComp()); Vector2[] q = new Vector2[n*2]; for(int i=0;i= 2 && q[k-2].subtract(q[k-1]).cross(q[k-1].subtract(p[i])) <= 0) { k--; } } for(int i=n-2, t=k+1;i>=0;q[k++]=p[i--]) { while(k >= t && q[k-2].subtract(q[k-1]).cross(q[k-1].subtract(p[i])) <= 0) { k--; } } return Arrays.copyOf(q, k-1); } public static long convexDiameterSqrt(Vector2[] convex) { int n = convex.length; int is = 0, js = 0; for(int i=1; i convex[is].y) { is = i; } if (convex[i].y <= convex[js].y) { js = i; } } long maxd = convex[is].distSquare(convex[js]); int i, j; //maxi, maxj i = is; //maxi = is; j = js; //maxj = js; do { Vector2 vi = convex[i]; Vector2 vid = convex[(i+1)%n].subtract(vi); Vector2 vj = convex[j]; Vector2 vjd = convex[(j+1)%n].subtract(vj); //System.out.println(is + "," + js + ";" + i + "," + j + ";" + vi + "," + vj + ";" + vid + "," + vjd); if (vid.cross(vjd) >= 0) { j = (j+1)%n; }else{ i = (i+1)%n; } long dist = vi.distSquare(vj); if (dist > maxd) { maxd = dist; //maxi = i; maxj = j; } } while (i != is || j != js); return maxd; } public String toString() { return this.x + " " + this.y; } public static class LexicographicalComp implements Comparator{ public int compare(Vector2 o1, Vector2 o2) { if (o1.x != o2.x) { return Integer.compare(o1.x, o2.x); } return Integer.compare(o1.y, o2.y); } } } class UnionFind { private int[] data; public UnionFind(int size) { data = new int[size]; Arrays.fill(data, -1); } public void union(int x,int y) { x = root(x); y = root(y); if (x!=y) { if (data[y] < data[x]) { int tmp = y; y = x; x = tmp; } data[x] += data[y]; data[y] = x; } } public boolean isConnected(int x,int y) { return root(x)==root(y); } private int root(int x) { return data[x] < 0 ? x : (data[x] = root(data[x])); } public int size(int x) { return -data[root(x)]; } public ArrayList> groups() { int n = data.length; ArrayList> g = new ArrayList>(); HashMap hm = new HashMap(); for(int i=0;i()); } g.get(hm.get(r)).add(i); } return g; } public String toString() { return Arrays.toString(data); } } class IO { private final InputStream in; private final PrintWriter out = new PrintWriter(System.out); private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; public IO() { this(System.in);} public IO(InputStream source) { this.in = source;} private boolean hasNextByte() { if (ptr < buflen) { return true; }else{ ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;} private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;} private static boolean isNewLine(int c) { return c == '\n' || c == '\r';} private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;} private void skipNewLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++;} public boolean hasNext() { skipUnprintable(); return hasNextByte();} public boolean hasNextLine() { skipNewLine(); return hasNextByte();} public String next() { if (!hasNext()) { throw new NoSuchElementException(); } StringBuilder sb = new StringBuilder(); int b = readByte(); while(isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public String nextLine() { if (!hasNextLine()) { throw new NoSuchElementException(); } StringBuilder sb = new StringBuilder(); int b = readByte(); while(!isNewLine(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) { throw new NoSuchElementException(); } long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } while(true){ if ('0' <= b && b <= '9') { n *= 10; n += b - '0'; }else{ return minus ? -n : n; } b = readByte(); } } public int nextInt() { long nl = nextLong(); if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) { throw new NumberFormatException(); } return (int) nl; } public char nextChar() { if (!hasNext()) { throw new NoSuchElementException(); } return (char) readByte(); } public double nextDouble() { return Double.parseDouble(next());} public int[] arrayInt(int n) { int[] a = new int[n]; for(int i=0;i