Total score is 100 (50 is extra points). So, the max is 150. Submit in the blackboard Do NOT submit via email. Submit only source codes (java file). Put comments with your name and date. Do NOT share/show your code with anyone. If any cheating, your course grade will be F. Start today, not tomorrow! Program 1 (50 points) Make a program to find the area of a rectangle that covers M circles. The rectangle has only vertical and horizontal edges. The rectangle size should be minimized to cover the circles. The circles can be overlapped. For example, when M = 3, C The input and output format is as follows; Input M // number of circles c1x cty c1r Il origin of 1st circle and its radius c2x c2y c2r // origin of 2nd circle and its radius cMx cMy CMr II origin of Mth circle and its radius Output Area of the rectangle Mis number of circles. Following M lines are for circles. Each line has three values for x, y coordinates (e.g. c1x and c1y) as circle's center and radius (e.g. c1r). Area in Output is the estimated rectangle area. Example Input: 3 7.8 3.5 0.5 8.7 8.2 1.2 3.6 7.0 0.8 Output: 45.44