Simulate a liquid flow through a randomly created square matrix that contains a set of integers from 0-9 using Python. The liquid should start from the top left corner of the matrix. It could only move towards right or below adjacent matrix. The lower value of the adjacent matrix, the higher potential for it to flow. In the case of the right and below adjacent matrix have the same value, the program should be able to simulate both conditions (Refer attached example image). The movement of the liquid is considered stop at the right or below edge of the matrix. The program should be able to show the sum of all numbers that the liquid has pass through, in all possibilities and visualize the path. Visualization can be done by replacing the numbers lying in the path with asterisk (*) , vertical line/pipe symbol (|), hyphen (-) or other relevant symbols such as (~,>= etc). Other methods to visualize can be accepted. Example output should look like this: Example output visualization
This is what i have coded so far, but it does not output all the possible outcomes and the sum of integers in which the liquid flows through;
import random
import numpy as np
import copy
a=[]
n=int(input("Enter matrix size between 8 to 20 only= "))
while True:
if n<8:
n=int(input("Input size less than 8! Enter at least 8 or more = "))
elif n>20:
n=int(input("Input size more than 20! Enter at most 20 or lesser = "))
else:
break
print()
print(f'{n} × {n} matrix generated from random numbers of 0-9 :\n')
def create_matrix(n, a):
for i in range (n):
v=[]
for j in range (n):
v.append(random.randint(0,9))
a.append(v)
my.create_matrix(n, a)
b=copy.deepcopy(a)
#c=copy.deepcopy(a)
def print_array(n, array):
for i in range(n):
for j in range(n):
print(array[i][j], end=" ")
print()
print()
my.print_array(n, a)
def move_right(b, i, j, n):
b[0][0]="."
while i+1 < n and j+1<n :
if b[i+1][j] < b[i][j+1]:
b[i+1][j]="."
i+=1
elif b[i][j+1] < b[i+1][j]:
b[i][j+1]="."
j+=1
elif b[i+1][j] == b[i][j+1]:
b[i][j]="*"
#c=copy.deepcopy(b)
#move_bottom(c, i, j, n)
b[i][j+1]="."
j+=1
else:
break
def move_bottom(array,i ,j, n):
array[i][j]="."
alt=0
while i+1 < n and j+1<n :
if array[i+1][j] < array[i][j+1]:
array[i+1][j]="."
i+=1
elif array[i][j+1] < array[i+1][j]:
array[i][j+1]="."
j+=1
elif array[i+1][j] == array[i][j+1]:
array[i][j]="*"
bb=copy.deepcopy(array)
move_right(bb,i,j,n)
array[i+1][j]="."
i+=1
alt+=1
else:
break
print_array(n, array)
my.move_bottom(b, 0, 0, n)
I really need help with my coding so that i can output all the possible outcomes that the liquid can flow and the sum of integers in which the liquid flows through. If there's any other way to easily code this program using python given the conditions, please let me know!
