/** check if the LIC4 holds
     * @return true if the LIC holds, false otherwise
     */
    public boolean checkLIC4 (ABMInput input) {
    	int qpts = input.PARAMETERS.getQPoints();
    	int quads = input.PARAMETERS.getQuads();

    	if (qpts < quads || input.NUMPOINTS < quads) return false;

    	boolean[] qs = new boolean[4];
    	Point p;
    	int q;
    	int numQuads = 0;

    	for (int i = 0; i <= input.NUMPOINTS - qpts; i++) {
    		for (int j = 0; j < qpts; j++) {
    			p = input.POINTS[j];

    			// mark quadrant as containing point
    			q = p.quadrant();
    			if (qs[q-1] == false) {
    				qs[q-1] = true;
    				numQuads++;
    			}
    		}

    		// check if enough quardants contains points
			if (numQuads > quads) return true;

    		// reset for trying next set of points
    		for (int b = 0; b < 4; b++) qs[b] = false;
    		numQuads = 0;
    	}
    	return false;
    }