Write a program in Python to be used in a dart game which calculates whether a thrown dart hits the dart board. A dart will be shown with x and y coordinates represented as a tuple (X.X). Randomly, create 10 tuples for 10 darts thrown and store them in a list. The program should show if the dart hits the board or not as true or false. The radius of the dart board is accepted as 11. (radius=11)(center=(0,0)) The distance between the dart and the center of the board is going to be calculated, according to the formula given below: distance = (x2-x2)+(12-12 Yaxis f (y) (0,0) angle xaxis Then, determine whether the dart hits the board and output the following: if distance > radius, "Outside of the dart board!" and Result: False If distance 10 points Distance between 4-7 (Red Ring) => 5 points Distance between 8-11 (Blue Ring) => 3 points Distance between 12 - 15 (Black Ring) => 2 points Distance between 15-19 (White Ring) => 1 point Distance above 19 (Off Target) => 0 point . Finally, output your total score. a) Write your program using looos. Sample Output: An** Playing Dart Gate *** Hit Point is: (1.5) Center is: (@, ) The distance is: 5.8998195135927845 Result: True Hit the board! Score: 5 Hit Point 15: (2. 6) Center is: (8. B) The distance is: 6.324555320536759 Result: True Hit the board! Score: 5 Hit Point is: (3,9) Center 1s: (8,6) The distance is: 9.486832989585138 Result: True Hit the board! Score: 3 b) Modify your program by using map function, no loops. Sample Output: Hit Point is: (6, 3) Center is: (0,8) The distance is: 6.708283932499369 Result: True Hit the board! Score: 5 Hit Point is: (7, 2) Center is: (@, ) The distance is: 7.280189889280518 Result: True Hit the board! Score: 3 Hit Point is: (8, 8) Center is: (@, 8) The distance is: 11.313708498984761 Result: False Outside of the dart board