A grasshopper is hopping in the angle x≥0,y≥0 of the coordinate plane (that means that it cannot land in the point with negative coordinate). If it is in the point (x,y), it can either jump to the point (x+1,y−1), or to the point (x−5,y+7). Draw a set of such an initial points (x,y), that having started from there, a grasshopper cannot reach any point farther than 1000 from the point (0,0). Find its area. coordinatesareascombinatorial geometry