python Tkinter recursively tree

Implement a program that shall recursively draw a “tree” in a Tkinter Canvas.

<标题>The program shall consist of a non-resizable 500×500 px canvas in a non-resizable window and a menu bar. The menu bar shall have one pull-down menu named “Draw” with two items named “Repaint” and “Exit”.

<标题>The “Exit” menu item, when selected, shall gracefully terminate the program.

The “Repaint” menu item, when selected, shall clear the canvas and draw a recursive tree at random position growing “up” (in the direction 90°). The initial length of the stem shall be 128 px. The tree shall have the number of cascades selected uniformly at random between 3 and 7, inclusive.

One cascade of the tree of length L, growing from the position (X,Y) in the direction D, shall consist of (see the attached file):

  1. the stem represented as a black line segment of length L originating at (X,Y) and forming the angle D degrees with the horizonta axis, and
  2. two trees of length L*0.8, growing from the end of the stem in the directions

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