Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
5 4
0 1
1 2
2 3
3 4

output:
0 1
1 2
2 3
3 4
"""

import sys
# sys.setrecursionlimit(int(3e6))


def generate_adj_table(_v_info):
    for v_detail in _v_info:
        v_from, v_to = map(int, v_detail)
        init_adj_table[v_from].append(v_to)
        # undirected graph
        init_adj_table[v_to].append(v_from)
    return init_adj_table


def graph_dfs(u, visited, parent, low, disc):
    global Time
    # Count of children in current node
    children = 0

    # Mark the current node as visited and print it
    visited[u] = True

    # Initialize discovery time and low value
    disc[u] = Time
    low[u] = Time
    Time += 1

    # Recur for all the vertices adjacent to this vertex
    for v in adj_table[u]:
        # If v is not visited yet, then make it a child of u
        # in DFS tree and recur for it
        if not visited[v]:
            parent[v] = u
            children += 1
            graph_dfs(v, visited, parent, low, disc)

            # Check if the subtree rooted with v has a connection to
            # one of the ancestors of u
            low[u] = min(low[u], low[v])

            ''' If the lowest vertex reachable from subtree
            under v is below u in DFS tree, then u-v is
            a bridge'''
            if low[v] > disc[u]:
                ans.append(sorted([u, v]))
        elif v != parent[u]:  # Update low value of u for parent function calls.
            low[u] = min(low[u], disc[v])

    return None


def bridge():
    visited = [False] * vertices
    disc = [float("Inf")] * vertices
    low = [float("Inf")] * vertices
    parent = [-1] * vertices

    for v in range(vertices):
        if not visited[v]:
            graph_dfs(v, visited, parent, low, disc)

    return ans


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    vertices, edges = map(int, _input[0].split())
    v_info = map(lambda x: x.split(), _input[1:])
    Time = 0
    ans = []

    init_adj_table = tuple([] for _ in range(vertices))
    adj_table = generate_adj_table(v_info)
    res = bridge()
    res.sort()
    for ele in res:
        print(*ele)

Fixed submission:
#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
5 4
0 1
1 2
2 3
3 4

output:
0 1
1 2
2 3
3 4
"""

import sys

sys.setrecursionlimit(int(1e5))


def dfs_Tarjan(current, visited, parent, low, disc):
    global timer
    children = 0
    visited[current] = True
    disc[current] = timer
    low[current] = timer
    timer += 1

    for adj in adj_table[current]:
        if not visited[adj]:
            parent[adj] = current
            children += 1
            dfs_Tarjan(adj, visited, parent, low, disc)
            low[current] = min(low[current], low[adj])
            if low[adj] > disc[current]:
                ans.append(sorted([current, adj]))
        elif adj != parent[current]:
            low[current] = min(low[current], disc[adj])

    return None


def dfs_init():
    visited = [False] * v_num
    disc = [float("Inf")] * v_num
    low = [float("Inf")] * v_num
    parent = [-1] * v_num

    for v in range(v_num):
        if not visited[v]:
            dfs_Tarjan(v, visited, parent, low, disc)

    return ans


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    v_num, e_num = map(int, _input[0].split())
    edges = map(lambda x: x.split(), _input[1:])
    adj_table = tuple([] for _ in range(v_num))
    for v_info in edges:
        source, target = map(int, v_info)
        adj_table[source].append(target)
        adj_table[target].append(source)
        
    timer = 0
    ans = list()

    dfs_init()
    ans.sort()
    for ele in ans:
        print(*ele)

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
5 4
0 1
1 2
2 3
3 4

output:
0 1
1 2
2 3
3 4
"""

import sys
sys.setrecursionlimit(int(1e10))


def generate_adj_table(_v_info):
    for v_detail in _v_info:
        v_from, v_to = map(int, v_detail)
        init_adj_table[v_from].append(v_to)
        # undirected graph
        init_adj_table[v_to].append(v_from)
    return init_adj_table


def graph_dfs(u, visited, parent, low, disc):
    global Time
    # Count of children in current node
    children = 0

    # Mark the current node as visited and print it
    visited[u] = True

    # Initialize discovery time and low value
    disc[u] = Time
    low[u] = Time
    Time += 1

    # Recur for all the vertices adjacent to this vertex
    for v in adj_table[u]:
        # If v is not visited yet, then make it a child of u
        # in DFS tree and recur for it
        if not visited[v]:
            parent[v] = u
            children += 1
            graph_dfs(v, visited, parent, low, disc)

            # Check if the subtree rooted with v has a connection to
            # one of the ancestors of u
            low[u] = min(low[u], low[v])

            ''' If the lowest vertex reachable from subtree
            under v is below u in DFS tree, then u-v is
            a bridge'''
            if low[v] > disc[u]:
                ans.append(sorted([u, v]))
        elif v != parent[u]:  # Update low value of u for parent function calls.
            low[u] = min(low[u], disc[v])

    return None


def bridge():
    visited = [False] * vertices
    disc = [float("Inf")] * vertices
    low = [float("Inf")] * vertices
    parent = [-1] * vertices

    for v in range(vertices):
        if not visited[v]:
            graph_dfs(v, visited, parent, low, disc)

    return ans


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    vertices, edges = map(int, _input[0].split())
    v_info = map(lambda x: x.split(), _input[1:])
    Time = 0
    ans = []

    init_adj_table = tuple([] for _ in range(vertices))
    adj_table = generate_adj_table(v_info)
    res = bridge()
    res.sort()
    for ele in res:
        print(*ele)

Fixed submission:
#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
5 4
0 1
1 2
2 3
3 4

output:
0 1
1 2
2 3
3 4
"""

import sys

sys.setrecursionlimit(int(1e5))


def dfs_Tarjan(current, visited, parent, low, disc):
    global timer
    children = 0
    visited[current] = True
    disc[current] = timer
    low[current] = timer
    timer += 1

    for adj in adj_table[current]:
        if not visited[adj]:
            parent[adj] = current
            children += 1
            dfs_Tarjan(adj, visited, parent, low, disc)
            low[current] = min(low[current], low[adj])
            if low[adj] > disc[current]:
                ans.append(sorted([current, adj]))
        elif adj != parent[current]:
            low[current] = min(low[current], disc[adj])

    return None


def dfs_init():
    visited = [False] * v_num
    disc = [float("Inf")] * v_num
    low = [float("Inf")] * v_num
    parent = [-1] * v_num

    for v in range(v_num):
        if not visited[v]:
            dfs_Tarjan(v, visited, parent, low, disc)

    return ans


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    v_num, e_num = map(int, _input[0].split())
    edges = map(lambda x: x.split(), _input[1:])
    adj_table = tuple([] for _ in range(v_num))
    for v_info in edges:
        source, target = map(int, v_info)
        adj_table[source].append(target)
        adj_table[target].append(source)
        
    timer = 0
    ans = list()

    dfs_init()
    ans.sort()
    for ele in ans:
        print(*ele)