import sys

# Function to read the current board from Qboard.txt

def read$\_$board$($filename$=$'Qboard.txt$\text{'})$:

board $=[]$

with open$($filename$,\text{'}$r$\text{'})$ as f:

for line in f:

board.append$($list$($line$.$strip$()))$ # Read each line as a list of characters

return board

# Function to write the updated board to Qboard.txt

def write$\_$board$($board$,$ filename$=$'Qboard.txt$\text{'})$:

with open$($filename$,\text{'}$w$\text{'})$ as f:

for row in board:

f$.$write$(\text{'}\text{'}.$join$($row$)+\text{'}$

$\text{'})$

# Function to check if placing a sequence of tiles is valid

def is$\_$valid$\_$sequence$($sequence$)$:

total $=$ sum$($int$($tile$)$ for tile in sequence$)$

return total $\%5==0$

# Function to suggest placement $($basic implementation$)$

def suggest$\_$placement$($board$,$ tiles$)$:

center $=(9,9)$ # Initial center position for first move

for i in range$($len$($tiles$))$:

for j in range$($i $+1,$ len$($tiles$)+1)$:

sequence $=$ tiles$[$i:j$]$

if len$($sequence$)<=5$ and is$\_$valid$\_$sequence$($sequence$)$:

# Try to place horizontally or vertically near existing tiles

if board$[$center$[0]][$center$[1]]==\text{'}.\text{'}$:

board$[$center$[0]][$center$[1]$:center$[1]+$len$($sequence$)]=$ sequence

score $=$ sum$($int$($tile$)$ for tile in sequence$)$

remaining$\_$tiles $=$ tiles$[$j:$]$

return score, remaining$\_$tiles

return $0,$ tiles # If no valid placement found

# Main function to run the program

def main$()$:

if len$($sys$.$argv$)!=2$:

print$("$Usage: python your$\_$last$\_$name$-05.$py $")$

sys$.$exit$(1)$

# Read the current tiles from command line

tile$\_$input $=$ sys$.$argv$[1]$

tiles $=$ list$($tile$\_$input$)$ # Convert input to a list of digits $($tiles$)$

# Read the board from file

board $=$ read$\_$board$()$

# Suggest a placement and calculate the score

score, remaining$\_$tiles $=$ suggest$\_$placement$($board$,$ tiles$)$

# Write the updated board to the file

write$\_$board$($board$)$

# Output the score and the remaining tiles

print$($f$"$Scored: $\{$score$\}$ Remaining tiles: $\{\text{'}\text{'}.$join$($remaining$\_$tiles$)\}")$

if $\_\_$name$\_\_=="\_\_$main$\_\_"$:

main$()$

For the code above please write an anlysis report with the following instructions:

Analysis Report Structure

Analytical

Summary of analytical and empirical results.$$

Performance critical code section$($s$)$

Compress trivial code segments to better present the critical code control structure.$$This is typically found in the main$()$method$,$ or one level of abstraction beneath.$$

Step count analysis of each critical section.$$

Space analysis of each critical section.

Determine overall space and time complexity.

Predict runtime performance

Empirical

Describe test plan and rational for test data sets

Graph runtime performance with trend line

Determine program limitations given$3$second time constraint and$256$MB working space.