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# Code-A2 (Huffman Coding)
import heapq
# Node class for Huffman Tree
class Node:
def __init__(self, char, freq):
self.char = char
self.freq = freq
self.left = None
self.right = None
# Comparison function for priority queue
def __lt__(self, other):
return self.freq < other.freq
# Function to build Huffman Tree
def build_huffman_tree(char_freq):
heap = [Node(ch, freq) for ch, freq in char_freq.items()]
heapq.heapify(heap)
while len(heap) > 1:
# Pick two smallest nodes (greedy choice)
left = heapq.heappop(heap)
right = heapq.heappop(heap)
# Merge them into a new node
merged = Node(None, left.freq + right.freq)
merged.left = left
merged.right = right
heapq.heappush(heap, merged)
return heap[0]
# Function to generate Huffman codes
def generate_codes(root, current_code="", codes={}):
if root is None:
return
if root.char is not None:
codes[root.char] = current_code
generate_codes(root.left, current_code + "0", codes)
generate_codes(root.right, current_code + "1", codes)
return codes
# Main program
text = input("Enter text to encode: ")
# Step 1: Calculate frequency of each character
freq = {}
for ch in text:
freq[ch] = freq.get(ch, 0) + 1
# Step 2: Build Huffman Tree using greedy approach
root = build_huffman_tree(freq)
# Step 3: Generate Huffman Codes
codes = generate_codes(root)
# Step 4: Encode the text
encoded_text = "".join(codes[ch] for ch in text)
# Step 5: Display results
print("\nCharacter | Frequency | Huffman Code")
print("------------------------------------")
for ch in freq:
print(f" {ch!r} | {freq[ch]} | {codes[ch]}")
print("\nEncoded Text:", encoded_text)
# SAMPLE OUTPUT
"""
Enter text to encode: lord kska git
Character | Frequency | Huffman Code
------------------------------------
'l' | 1 | 1100
'o' | 1 | 1101
'r' | 1 | 001
'd' | 1 | 1010
' ' | 2 | 011
'k' | 2 | 100
's' | 1 | 000
'a' | 1 | 010
'g' | 1 | 1011
'i' | 1 | 1111
't' | 1 | 1110
Encoded Text: 110011010011010011100000100010011101111111110
"""
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# Code-A5 (N-Queen)
def print_board(board, n):
for i in range(n):
for j in range(n):
print(board[i][j], end=" ")
print()
print() # blank line between solutions
def is_safe(board, row, col, n):
# Check column
for i in range(row):
if board[i][col] == 1:
return False
# Check upper-left diagonal
i, j = row, col
while i >= 0 and j >= 0:
if board[i][j] == 1:
return False
i -= 1
j -= 1
# Check upper-right diagonal
i, j = row, col
while i >= 0 and j < n:
if board[i][j] == 1:
return False
i -= 1
j += 1
return True
def solve_n_queens(board, row, n):
if row == n:
print_board(board, n)
return True
res = False
for col in range(n):
if is_safe(board, row, col, n):
board[row][col] = 1
res = solve_n_queens(board, row + 1, n) or res
board[row][col] = 0 # backtrack
return res
# Main program
n = int(input("Enter number of queens: "))
board = [[0 for _ in range(n)] for _ in range(n)]
print(f"\nSolutions for {n}-Queens Problem:\n")
if not solve_n_queens(board, 0, n):
print("No solution exists!")
# SAMPLE OUTPUT
"""
Enter number of queens: 4
Solutions for 4-Queens Problem:
0 1 0 0
0 0 0 1
1 0 0 0
0 0 1 0
0 0 1 0
1 0 0 0
0 0 0 1
0 1 0 0
"""
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@@ -25,6 +25,7 @@ This repository contains valuable resources for the Design and Analysis of Algor
> [!NOTE] > [!NOTE]
> C++ versions of all codes are available in the [./Codes/C++](./Codes/C++) directory. > C++ versions of all codes are available in the [./Codes/C++](./Codes/C++) directory.
> Python version of some codes are available in [./Codes/Python](./Codes/Python) directory.
### Practical ### Practical