Problem: In Medieval times existed the tradition of burning witches at steaks together with their pets, black cats. By the end of the 15-th century the population of black cats ceased to exist. The difficulty of the situation led to creating the EIC - the Emergency Inquisitory Commission.

The resolution #666 says that a white cat is considered black when and only when the perimeter of its black spots exceeds the acceptable norm. But what does the acceptable norm equal to? Every inquisitor will choose it himself depending on the situation. And your task is to find the perimeter of black spots on the cat's fur.

The very same resolution says that the cat's fur is a white square with the length of 105. During the measurement of spots it is customary to put the lower left corner of the fur into the origin of axes (0;0) and the upper right one — to the point with coordinates (105;105). The cats' spots are nondegenerate triangles. The spots can intersect and overlap with each other, but it is guaranteed that each pair of the triangular spots' sides have no more than one common point.

We'll regard the perimeter in this problem as the total length of the boarders where a cat's fur changes color.

Input

The first input line contains a single integer n (0 ≤ n ≤ 100). It is the number of spots on the cat's fur. The i-th of the last n lines contains 6 integers: x1i, y1i, x2i, y2i, x3i, y3i. They are the coordinates of the i-th triangular spot (0 < xji, yji < 105).

Output

Print a single number, the answer to the problem, perimeter of the union of triangles. Your answer should differ from the correct one in no more than 10 - 6.

Examples

Input

1
1 1 2 1 1 2


Output

3.4142135624


Input

3
3 3 10 3 3 10
1 1 9 4 5 6
2 2 11 7 6 11


Output

37.7044021497

Solution (in JAVA):

Solution:
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.*;

/**
 * @author Egor Kulikov (egor@egork.net)
 */
public class TaskC {
	@SuppressWarnings({"FieldCanBeLocal", "UnusedDeclaration"})
	private InputReader in;
	private PrintWriter out;

	private static final double EPS = 1e-5;

	private static class Point {
		private final double x;
		private final double y;

		private Point(double x, double y) {
			this.x = x;
			this.y = y;
		}

		public double distance(Point other) {
			return Math.sqrt((x - other.x) * (x - other.x) + (y - other.y) * (y - other.y));
		}

		@Override
		public String toString() {
			return "(" + x + " " + y + ")";
		}
	}

	private static class Line {
		private final double a, b, c;

		private Line(Point a, Point b) {
			this.a = a.y - b.y;
			this.b = b.x - a.x;
			c = -a.x * this.a - a.y * this.b;
		}

		public Point intersect(Line second) {
			if (Math.abs(a * second.b - b * second.a) < EPS)
				return null;
			double x = (b * second.c - c * second.b) / (a * second.b - b * second.a);
			double y = (a * second.c - c * second.a) / (b * second.a - a * second.b);
			return new Point(x, y);
		}
	}

	private static class Segment {
		private final Point a;
		private final Point b;

		private Segment(Point a, Point b) {
			this.a = a;
			this.b = b;
		}

		public double length() {
			return a.distance(b);
		}

		public Point middle() {
			return new Point((a.x + b.x) / 2, (a.y + b.y) / 2);
		}

		public Point intersect(Segment other) {
			Line first = new Line(a, b);
			Line second = new Line(other.a, other.b);
			Point point = first.intersect(second);
			if (point != null && inside(point) && other.inside(point))
				return point;
			return null;
		}

		private boolean inside(Point point) {
			return Math.abs(length() - point.distance(a) - point.distance(b)) < EPS;
		}

		@Override
		public String toString() {
			return "{" + a + " " + b + "}";
		}
	}

	private static class Triangle {
		private final Point[] vertices;
		private final Segment[] sides;

		private Triangle(double x1, double y1, double x2, double y2, double x3, double y3) {
			vertices = new Point[]{new Point(x1, y1), new Point(x2, y2), new Point(x3, y3)};
			sides = new Segment[]{new Segment(vertices[0], vertices[1]), new Segment(vertices[1], vertices[2]),
				new Segment(vertices[2], vertices[0])};
		}

		public boolean inside(Point point) {
			double square = square();
			double allegedSquare = 0;
			for (int i = 0; i < 3; i++)
				allegedSquare += square(point, vertices[(i + 1) % 3], vertices[(i + 2) % 3]);
			return Math.abs(square - allegedSquare) < EPS;
		}

		private double square() {
			return square(vertices[0], vertices[1], vertices[2]);
		}

		private double square(Point a, Point b, Point c) {
			return .5 * Math.abs((a.x - b.x) * (a.y + b.y) + (b.x - c.x) * (b.y + c.y) + (c.x - a.x) * (c.y + a.y));
		}
	}

	private void solve() {
		int triangleCount = in.readInt();
		Triangle[] triangles = new Triangle[triangleCount];
		for (int i = 0; i < triangleCount; i++) {
			int x1 = in.readInt();
			int y1 = in.readInt();
			int x2 = in.readInt();
			int y2 = in.readInt();
			int x3 = in.readInt();
			int y3 = in.readInt();
			triangles[i] = new Triangle(x1, y1, x2, y2, x3, y3);
		}
		double perimeter = 0;
		for (int i = 0; i < triangleCount; i++) {
			for (final Segment side : triangles[i].sides) {
				List<Point> intersections = new ArrayList<Point>();
				intersections.add(side.a);
				intersections.add(side.b);
				for (int j = 0; j < triangleCount; j++) {
					if (i == j)
						continue;
					for (Segment otherSide : triangles[j].sides) {
						Point point = side.intersect(otherSide);
						if (point != null)
							intersections.add(point);
					}
				}
				Collections.sort(intersections, new Comparator<Point>() {
					public int compare(Point o1, Point o2) {
						return Double.compare(side.a.distance(o1), side.a.distance(o2));
					}
				});
				for (int j = 1; j < intersections.size(); j++) {
					Point first = intersections.get(j - 1);
					Point second = intersections.get(j);
					Segment toAdd = new Segment(first, second);
					Point middle = toAdd.middle();
					boolean outside = true;
					for (int k = 0; k < triangleCount && outside; k++) {
						if (i != k && triangles[k].inside(middle))
							outside = false;
					}
					if (outside)
						perimeter += toAdd.length();
				}
			}
		}
		out.printf("%.8f\n", perimeter);
	}

	public static void main(String[] args) {
		new TaskC().run();
	}

	private TaskC() {
		@SuppressWarnings({"UnusedDeclaration"})
		String id = getClass().getName().toLowerCase();
		//noinspection EmptyTryBlock
		try {
//			System.setIn(new FileInputStream(id + ".in"));
//			System.setOut(new PrintStream(new FileOutputStream(id + ".out")));
//			System.setIn(new FileInputStream("input.txt"));
//			System.setOut(new PrintStream(new FileOutputStream("output.txt")));
		} catch (Exception e) {
			throw new RuntimeException(e);
		}
		in = new InputReader(System.in);
		out = new PrintWriter(System.out);
	}

	private void run() {
		//noinspection InfiniteLoopStatement
//		int testCount = in.readInt();
//		for (int i = 0; i < testCount; i++)
//		while (true)
		solve();
		exit();
	}

	@SuppressWarnings({"UnusedDeclaration"})
	private void exit() {
		out.close();
		System.exit(0);
	}

	@SuppressWarnings({"UnusedDeclaration"})
	private static class InputReader {
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar, numChars;

		public InputReader(InputStream stream) {
			this.stream = stream;
		}

		public int read() {
			if (numChars == -1)
				throw new InputMismatchException();
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = stream.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}

		public int readInt() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public long readLong() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public String readString() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuffer res = new StringBuffer();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		private boolean isSpaceChar(int c) {
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		private String readLine0() {
			StringBuffer buf = new StringBuffer();
			int c = read();
			while (c != '\n' && c != -1) {
				if (c != '\r')
					buf.appendCodePoint(c);
				c = read();
			}
			return buf.toString();
		}

		public String readLine() {
			String s = readLine0();
			while (s.trim().length() == 0)
				s = readLine0();
			return s;
		}

		public String readLine(boolean ignoreEmptyLines) {
			if (ignoreEmptyLines)
				return readLine();
			else
				return readLine0();
		}

		public BigInteger readBigInteger() {
			try {
				return new BigInteger(readString());
			} catch (NumberFormatException e) {
				throw new InputMismatchException();
			}
		}

		public char readCharacter() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			return (char) c;
		}

		public double readDouble() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			double res = 0;
			while (!isSpaceChar(c) && c != '.') {
				if (c == 'e' || c == 'E')
					return res * Math.pow(10, readInt());
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			}
			if (c == '.') {
				c = read();
				double m = 1;
				while (!isSpaceChar(c)) {
					if (c == 'e' || c == 'E')
						return res * Math.pow(10, readInt());
					if (c < '0' || c > '9')
						throw new InputMismatchException();
					m /= 10;
					res += (c - '0') * m;
					c = read();
				}
			}
			return res * sgn;
		}

		public int[] readIntArray(int size) {
			int[] array = new int[size];
			for (int i = 0; i < size; i++)
				array[i] = readInt();
			return array;
		}

		public long[] readLongArray(int size) {
			long[] array = new long[size];
			for (int i = 0; i < size; i++)
				array[i] = readLong();
			return array;
		}

		public double[] readDoubleArray(int size) {
			double[] array = new double[size];
			for (int i = 0; i < size; i++)
				array[i] = readDouble();
			return array;
		}

		public String[] readStringArray(int size) {
			String[] array = new String[size];
			for (int i = 0; i < size; i++)
				array[i] = readString();
			return array;
		}

		public char[][] readTable(int rowCount, int columnCount) {
			char[][] table = new char[rowCount][columnCount];
			for (int i = 0; i < rowCount; i++) {
				for (int j = 0; j < columnCount; j++)
					table[i][j] = readCharacter();
			}
			return table;
		}

		public void readIntArrays(int[]... arrays) {
			for (int i = 0; i < arrays[0].length; i++) {
				for (int j = 0; j < arrays.length; j++)
					arrays[j][i] = readInt();
			}
		}
	}
}