"""Given an undirected graph G, check whether it is bipartite.
Recall that a graph is bipartite if its vertices can be divided
into two independent sets, U and V,
such that no edge connects vertices of the same set."""

from collections import defaultdict, deque


def bipartite_check(g, s):
    """Check whether a graph is bipartite or not."""
    color = defaultdict(str)
    queue = deque()
    queue.append(s)
    color[s] = "Red"

    while queue:
        d = queue.pop()

        for i in g:
            for v in g[i]:
                if v == i:
                    return False

        for v in g[d]:
            if not color[v]:
                if color[d] == "Red":
                    color[v] = "Blue"
                else:
                    color[v] = "Red"

                queue.append(v)

            elif color[v] == color[d]:
                return False

    return True


g = {"a": ["b", "c"],
     "b": ["a", "d"],
     "c": ["a", "d"],
     "d": ["b", "c", "d"]
     }
print(bipartite_check(g, 'a'))

d261e58d628568b1b6ce4aa9e8040328f3795e50
<mask token>


def bipartite_check(g, s):
    """Check whether a graph is bipartite or not."""
    color = defaultdict(str)
    queue = deque()
    queue.append(s)
    color[s] = 'Red'
    while queue:
        d = queue.pop()
        for i in g:
            for v in g[i]:
                if v == i:
                    return False
        for v in g[d]:
            if not color[v]:
                if color[d] == 'Red':
                    color[v] = 'Blue'
                else:
                    color[v] = 'Red'
                queue.append(v)
            elif color[v] == color[d]:
                return False
    return True


<mask token>

<mask token>


def bipartite_check(g, s):
    """Check whether a graph is bipartite or not."""
    color = defaultdict(str)
    queue = deque()
    queue.append(s)
    color[s] = 'Red'
    while queue:
        d = queue.pop()
        for i in g:
            for v in g[i]:
                if v == i:
                    return False
        for v in g[d]:
            if not color[v]:
                if color[d] == 'Red':
                    color[v] = 'Blue'
                else:
                    color[v] = 'Red'
                queue.append(v)
            elif color[v] == color[d]:
                return False
    return True


<mask token>
print(bipartite_check(g, 'a'))

<mask token>


def bipartite_check(g, s):
    """Check whether a graph is bipartite or not."""
    color = defaultdict(str)
    queue = deque()
    queue.append(s)
    color[s] = 'Red'
    while queue:
        d = queue.pop()
        for i in g:
            for v in g[i]:
                if v == i:
                    return False
        for v in g[d]:
            if not color[v]:
                if color[d] == 'Red':
                    color[v] = 'Blue'
                else:
                    color[v] = 'Red'
                queue.append(v)
            elif color[v] == color[d]:
                return False
    return True


g = {'a': ['b', 'c'], 'b': ['a', 'd'], 'c': ['a', 'd'], 'd': ['b', 'c', 'd']}
print(bipartite_check(g, 'a'))

<mask token>
from collections import defaultdict, deque


def bipartite_check(g, s):
    """Check whether a graph is bipartite or not."""
    color = defaultdict(str)
    queue = deque()
    queue.append(s)
    color[s] = 'Red'
    while queue:
        d = queue.pop()
        for i in g:
            for v in g[i]:
                if v == i:
                    return False
        for v in g[d]:
            if not color[v]:
                if color[d] == 'Red':
                    color[v] = 'Blue'
                else:
                    color[v] = 'Red'
                queue.append(v)
            elif color[v] == color[d]:
                return False
    return True


g = {'a': ['b', 'c'], 'b': ['a', 'd'], 'c': ['a', 'd'], 'd': ['b', 'c', 'd']}
print(bipartite_check(g, 'a'))

"""Given an undirected graph G, check whether it is bipartite.
Recall that a graph is bipartite if its vertices can be divided
into two independent sets, U and V,
such that no edge connects vertices of the same set."""

from collections import defaultdict, deque


def bipartite_check(g, s):
    """Check whether a graph is bipartite or not."""
    color = defaultdict(str)
    queue = deque()
    queue.append(s)
    color[s] = "Red"

    while queue:
        d = queue.pop()

        for i in g:
            for v in g[i]:
                if v == i:
                    return False

        for v in g[d]:
            if not color[v]:
                if color[d] == "Red":
                    color[v] = "Blue"
                else:
                    color[v] = "Red"

                queue.append(v)

            elif color[v] == color[d]:
                return False

    return True


g = {"a": ["b", "c"],
     "b": ["a", "d"],
     "c": ["a", "d"],
     "d": ["b", "c", "d"]
     }
print(bipartite_check(g, 'a'))
