python 3.6

def n_gens(grid, n=20):

Given a Grid and a positive integer of how many generations to store, utilize your next_gen function to create a list with

n generations in it, where the given grid is included as the first generation.

o Assume: grid is a Grid; n is a positive integer that may default to 2

0 when not given.

oHints: Use your next_gen definition!

you are returning a list of Grid valuesit is a list that is 3 levels deep!

oThe examples would get pretty largern indicates the same numbered generations from the page of r_pentomino steps;

gridA,gridB, andgridC are also defined above (blinker and boat).

o n_gens(r_pentomino,3)[r0, r1, r2]# see the last page

o n_gens(gridA,5)[gridA, gridB, gridA, gridB, gridA]

o n_gens(gridB,3)[gridB, gridA, gridB]

o n_gens(gridC,4)[gridC, gridC, gridC,gridC]

on_gens([[False]])[[[False]], [[False]], [[False]], [[False]], [[False]], [[False]],[[False]], [[False]], [[False]], [[False]], [[False]], [[False]],

[[False]], [[False]], [[False]], [[False]], [[False]], [[False]],[[False]], [[False]]]

#20 iterations provided by default

def is_still_life(grid, limit=100):

Given a single Grid, determine if its sequence of generations

becomes a "still life", where after some point, each generation matches the previous generation. Note that the chosen cut-off number of generations can change the answer (if a Grid takes 30 generations to settle into a still life, but we only look at 10 generations, we won't realize it, and report False).

o Assume s: grid is a Grid, and limit is a positive integer that may default to 100.

o Hint : try comparing two different (consecutive) Grid values with the==perator.

oExamples use names of provided GridStrings.

o is_still_life(build_grid(boat),5)True

o is_still_life(build_grid(boat),1)False#one grid:can't seestill- life

o is_still_life(build_grid(blinkerA),10)False# period is 2; this isn't still.

o is_still_life(build_grid(r_pentomino),50)False

o is_still_life(build_grid(r_pentomino),55)True# all-dead equals all-dead.

def is_cycle(grid, limit=100):

Given a single Grid , determine if its sequence of generations becomes an "oscillator", where after some point, a repeating sequence of at least two distinct grids occurs. Note that still life grids are not cycles ! Again, the chosen number of generations

to inspect (limit) may be short enough to prohibit our finding the cycle.

o Assume s:grid is a Grid , and limit is a positive integer that may default to 100.

o Hint : use your n_gens function.Alsowhat function on a previous project could be useful??

o Examples use names of provided GridStrings.

o is_cycle(build_grid(boat),5)False#still-lifesoscillators

o is_cycle(build_grid(blinker),10)True

o is_cycle(build_grid(r_pentomino),50)False

o is_cycle(build_grid(pulsar),5)True

o is_cycle(build_grid(pulsar),3)False