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DFS algorithm in Python
DFS algorithm
def dfs(graph, start, visited=None): if visited is None: visited = set() visited.add(start)
print(start)
for next in graph[start] - visited:
dfs(graph, next, visited)
return visited
graph = {'0': set(['1', '2']), '1': set(['0', '3', '4']), '2': set(['0']), '3': set(['1']), '4': set(['2', '3'])}
dfs(graph, '0') 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000
BFS algorithm in Python
import collections
BFS algorithm
def bfs(graph, root):
visited, queue = set(), collections.deque([root])
visited.add(root)
while queue:
# Dequeue a vertex from queue
vertex = queue.popleft()
print(str(vertex) + " ", end="")
# If not visited, mark it as visited, and
# enqueue it
for neighbour in graph[vertex]:
if neighbour not in visited:
visited.add(neighbour)
queue.append(neighbour)
if __name__ == '__main__': graph = {0: [1, 2], 1: [2], 2: [3], 3: [1, 2]} print("Following is Breadth First Traversal: ") bfs(graph, 0)
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00000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000 class stack: def __init__(self): self.arr = [] def push(self, data): self.arr.append(data) def pop(self): try: return self.arr.pop(-1) except: pass def top(self): try: return self.arr[-1] except: pass def size(self): return len(self.arr)
node class for expression tree
class node: def __init__(self, data): self.data = data self.left = None self.right = None
expression tree class
class exp_tree: def __init__(self, postfix_exp): self.exp = postfix_exp self.root = None self.createTree(self.exp) def isOperator(self, char): optr = [" ", "-", "*", "/", "^"] if char in optr: # if given char is operator return True # then return true return False # else return false def createTree(self, exp): s = stack()
# store those operator node whose any child node is NULL
self.root = node(exp[-1])
# last character of postfix expression is always an operator
s.push(self.root)
# travel on rest of the postfix expression
for i in "".join(reversed(exp[:-1])):
curr_node = s.top()
if not curr_node.right:
# if right node of current node is NULL
temp = node(i)
curr_node.right = temp
if self.isOperator(i):
s.push(temp)
else: # if left node of current node is NULL
temp = node(i)
curr_node.left = temp
# if no child node of current node is NULL
s.pop() # pop current from stack
if self.isOperator(i):
s.push(temp)
def inorder(self, head):
# inorder traversal of expression tree
# inorder traversal = > left, root, right
if head.left:
self.inorder(head.left)
print(head.data, end=" ")
if head.right:
self.inorder(head.right)
def infixExp(self):
# inorder traversal of expression tree give infix expression
self.inorder(self.root)
print()
if __name__ == "__main__": postfixExp = "ab efg-" et = exp_tree(postfixExp) et.infixExp() Running the above code will generate the output as,
Output (a + b - e f g) Explanation:
Constructing a tree from a given expression will generate the output such that the operand will become the root of the node and the rest of the numbers will become the child nodes of the expression tree.
raja
Dev Prakash Sharma
Updated on 23-Feb-2021 18:49:16
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