# question 3

N0=1
N1=N0*2
print({N1})

N0=1
g=3
Ng=N0*2**3
print({Ng})



# question 4

def N_vect(N0, r, ng):
    suite = [N0 * (r ** i) for i in range(ng)]
    return suite

N0 = 1
r = 2
ng = 5
resN = N_vect(N0, r, ng)
print(resN)



# question 5

# pip install numpy
import numpy as np

def time_vect(t0, ng, T):
    return np.arange(t0, t0+ng * T, T) # fonction qui permet de créer un vecteur avec début, fin et increment

ng = 5
t0 = 0
T = 20
resT = time_vect(t0,ng,T)
print(resT)





# question 6 

import matplotlib.pyplot as plt

resT
resN

plt.scatter(res,resN)
plt.step(res, resN,where="post")


plt.xlabel('temps')
plt.ylabel('nombre de cellules')
plt.title('Evolution du nombre de cellules')
plt.legend()

plt.show()



# question 8

def N_vect(N0, r, ng):
    suite = [N0 * (r ** i) for i in range(ng)]
    return suite

N0 = 1
r = 2
ng = 12
resN = N_vect(N0, r, ng)
print(resN)



# question 10

t_interest = 105
T = 20

import math
n_before = math.floor(t_interest / T)
print({n_before})

max(N_vect(N0,r,n_before))