How to get this code to print an initial state board for the Futoshiki puzzle, and then print the solution board:

def is$\_$valid$($board$,$ row, col, num$)$:

# Check if the number is not in the same row and column

if num in board$[$row$]$ or num in $[$board$[$i$][$col$]$ for i in range$(4)]$:

return False

# Check inequality constraints

for i in range$(4)$:

if board$[$row$][$i$]>0$ and num $<=$ board$[$row$][$i$]$:

return False

if board$[$i$][$col$]>0$ and num $>=$ board$[$i$][$col$]$:

return False

return True

def solve$\_$futoshiki$($board$)$:

empty $=$ find$\_$empty$\_$location$($board$)$

if not empty:

return True # Puzzle solved

row, col $=$ empty

for num in range$(1,5)$: # Numbers $1$ to $4$ in a $4$x$4$ grid

if is$\_$valid$($board$,$ row, col, num$)$:

board$[$row$][$col$]=$ num

if solve$\_$futoshiki$($board$)$:

return True # If solution is found, return True

board$[$row$][$col$]=0$ # Backtrack if the current configuration does not lead to a solution

return False # No solution found

def find$\_$empty$\_$location$($board$)$:

for i in range$(5)$:

for j in range$(5)$:

if board$[$i$][$j$]==0$:

return i$,$ j

return None

def print$\_$board$($board$)$:

for row in board:

print$($row$)$

# Create an empty Futoshiki puzzle grid $(4$x$4)$

empty$\_$futoshiki$\_$puzzle $=[$

$[0,0,0,0,0],$

$[0,0,0,0,0],$

$[0,0,0,0,0],$

$[0,0,0,0,0],$

$[0,0,0,0,0]$

$]$

# Solve the empty puzzle

if solve$\_$futoshiki$($empty$\_$futoshiki$\_$puzzle$)$:

print$("$Solution:$")$

print$\_$board$($empty$\_$futoshiki$\_$puzzle$)$

else:

print$("$No solution found."$)$