class WordLadder:
# Create a graph from the file of four letter words
def __init__(self, filename):
self.word_graph = DiGraph()
# Use with for opening file
with open(filename) as file:
d = defaultdict(list)
for line in file:
word = line.strip().lower() # Get the word
# add 'word' in '_ord', 'w_rd', 'wo_d' and 'wor_'
for i in range(4): # we know its 4 letter words
temp = word[:i] + '_' + word[i+1:]
d[temp].append(word)
# from dictionary, make graph
for l in d.values(): # For each dictionary list,
# add edge between all nodes
# in 'wor_', 'work' and 'word' are neighbours
for frm in range(len(l)):
for to in range(len(l)):
if frm != to:
self.word_graph.add_edge(l[frm], l[to])
@staticmethod
def print_path(previous, from_word, to_word):
l = []
node_id = to_word
while node_id != from_word:
l.append(node_id)
node_id = previous[node_id]
l.append(from_word)
print(l[::-1])
def find_path(self, from_word, to_word):
if from_word == to_word:
return
q = Queue() # q for BFS
previous = {} # Previous to store predecessor nodes
q.put(from_word) # add the start node to q
previous[from_word] = None
while not q.empty():
node_id = q.get()
start = self.word_graph.vert_list[node_id]
for neigh in start.get_neighs():
if neigh in previous: # If neighbour is visited, continue
continue
previous[neigh] = node_id
if neigh == to_word: # Found a path
self.print_path(previous, from_word, to_word)
return
q.put(neigh) # add neighbours to q
# end of graph traversal
print('No Path')
def main():
edge_to_cost = read_input("input2.txt")
my_digraph = DiGraph(edge_to_cost)
#print(my_digraph.node_set)
#print(my_digraph.node_to_neighbor)
#print(my_digraph.edge_to_cost)
my_digraph.dijkstra(1, 12, early_stop=False, file_name="output2.txt")
def test_strongly_connected(self):
g = DiGraph(6)
g.add_edge(0, 1)
g.add_edge(1, 2)
g.add_edge(2, 0)
g.add_edge(2, 3)
g.add_edge(3, 4)
g.add_edge(4, 3)
g.add_edge(5, 3)
self.assertTrue(DigraphHasReachableVertex(g).has_rechable_vertex())
def test_component_count(self):
g = DiGraph(6)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(2, 3)
g.add_edge(3, 0)
g.add_edge(2, 4)
g.add_edge(4, 5)
g.add_edge(5, 4)
self.assertEqual(StronglyConnectedComponent(g).get_component_count(), 3)
def test_component_count(self):
g = DiGraph(6)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(2, 3)
g.add_edge(3, 0)
g.add_edge(2, 4)
g.add_edge(4, 5)
g.add_edge(5, 4)
self.assertFalse(DigraphHasReachableVertex(g).has_rechable_vertex())
class StronglyConnectedComponent:
def __init__(self, g):
self.g = g
self.rg = None
self.done = [False]*self.g.V
self.topo_order = []
self.cc_count = 0
self.cc_id = [-1]*self.g.V #Valid id are positive integeres starting from 1
self.generate_reverse_graph()
self.populate_topo_order()
self.populate_strongly_cc()
def populate_topo_order(self):
for i in range(self.rg.V):
if not self.done[i]:
self.topo_util(i)
def get_reverse_topo_order(self):
return list(reversed(self.topo_order))
def topo_util(self, v):
self.done[v] = True
for each in self.rg.adj(v):
if not self.done[each]:
self.topo_util(each)
self.topo_order.append(v)
def generate_reverse_graph(self):
self.rg = DiGraph(self.g.V)
for i in range(self.rg.V):
for j in self.g.adj(i):
self.rg.add_edge(j, i)
def populate_strongly_cc(self):
self.done = [False]*self.g.V
for each in self.get_reverse_topo_order():
if not self.done[each]:
self.cc_count += 1
self.cc_dfs(each)
def cc_dfs(self, v):
self.done[v] = True
self.cc_id[v] = self.cc_count
for each in self.g.adj(v):
if not self.done[each]:
self.cc_dfs(each)
def get_component_count(self):
return self.cc_count
def get_component_id(self, v):
return self.cc_id[v]
def are_strongly_connected(self, v, w):
return self.get_component_id(v) == self.get_component_id(w)
def test_length2(self):
g = DiGraph(7)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(1, 3)
g.add_edge(3, 4)
g.add_edge(4, 5)
g.add_edge(5, 3)
g.add_edge(5, 0)
l = SmallestCycle(g).get_smallest_cycle_length()
self.assertEqual(l, 3)
def test_topo_order(self):
g = DiGraph(6)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(2, 3)
g.add_edge(3, 0)
g.add_edge(2, 4)
g.add_edge(4, 5)
g.add_edge(5, 4)
rto = StronglyConnectedComponent(g).get_reverse_topo_order()
self.assertListEqual(rto, [4, 5, 1, 0, 3, 2])
def __init__(self, row, column):
self.board = DiGraph() # Directed graph
self.row = row
self.column = column
for r in range(row):
for c in range(column):
pos = (r * column) + c
# For each position, find the valid moves and add as edges
for neigh in self.get_neighs(r, c):
self.board.add_edge(pos, neigh)
def __init__(self, g):
self.g = g
self.rg = None
self.done = [False]*self.g.V
self.topo_order = []
self.cc_count = 0
self.cc_id = [-1]*self.g.V #Valid id are positive integeres starting from 1
self.generate_reverse_graph()
self.populate_topo_order()
self.cc_dag = DiGraph(0)
self.populate_strongly_cc_dag()
def test_does_not_exists(self):
g = DiGraph(8)
g.add_edge(0, 5)
g.add_edge(0, 4)
g.add_edge(6, 5)
g.add_edge(7, 5)
g.add_edge(3, 1)
g.add_edge(1, 0)
g.add_edge(4, 6)
v = ReachableVertexDAG(g).get_reachable_vertex()
self.assertEqual(v, None)
def test_topo_order(self):
g = DiGraph(6)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(2, 3)
g.add_edge(3, 0)
g.add_edge(2, 4)
g.add_edge(4, 5)
g.add_edge(5, 4)
rto = DigraphHasReachableVertex(g).get_reverse_topo_order()
self.assertListEqual(rto, [4, 5, 1, 0, 3, 2])
def test_strongly_connected(self):
g = DiGraph(6)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(2, 3)
g.add_edge(3, 0)
g.add_edge(2, 4)
g.add_edge(4, 5)
g.add_edge(5, 4)
self.assertTrue(StronglyConnectedComponent(g).are_strongly_connected(0, 2))
self.assertTrue(StronglyConnectedComponent(g).are_strongly_connected(3, 2))
self.assertTrue(StronglyConnectedComponent(g).are_strongly_connected(4, 5))
self.assertFalse(StronglyConnectedComponent(g).are_strongly_connected(4, 2))
def test_topo_order(self):
g = DiGraph(6)
g.add_edge(2, 1)
g.add_edge(1, 0)
g.add_edge(0, 4)
g.add_edge(4, 3)
g.add_edge(3, 5)
self.assertTrue(HamiltonPathDag(g).has_hamilton_path)
def from_networkx(G):
"""
Convert a NetworkX graph into a Zen graph object.
In creating the object, the NetworkX node object and node/edge data will be copied over (a shallow copy).
**Returns**:
The return type depends on the input type.
* :py:class:`zen.Graph` if the input graph was a :py:class:`networkx.Graph`.
* :py:class:`zen.DiGraph` if the input graph was a :py:class:`networkx.DiGraph`.
"""
Gdest = None
if type(G) == networkx.DiGraph:
Gdest = DiGraph()
elif type(G) == networkx.Graph:
Gdest = Graph()
else:
raise Exception, 'Unable to convert graph object type %s' % str(
type(G))
# add nodes
for n, nd in G.nodes_iter(data=True):
Gdest.add_node(n, nd)
# add edges
for x, y, ed in G.edges_iter(data=True):
Gdest.add_edge(x, y, ed)
return Gdest
def test_destination_is_not_reachable_if_path_does_not_exists():
dg = DiGraph()
dg.add_nodes_from([1, 2, 3, 4, 5])
dg.add_edge(1, 2)
dg.add_edge(2, 3)
dg.add_edge(3, 4)
assert not is_reachable(dg, 1, 5)
def test_get_path_returns_path_when_path_exists():
dg = DiGraph()
dg.add_nodes_from([1, 2, 3, 4, 5])
dg.add_edge(1, 2)
dg.add_edge(2, 3)
dg.add_edge(3, 4)
dg.add_edge(4, 2)
assert get_path(dg, 1, 4) == [1, 2, 3, 4]
def test_bfs_on_directed_graph():
dg = DiGraph()
dg.add_nodes_from([1, 2, 3, 4, 5])
dg.add_edge(1, 2)
dg.add_edge(1, 3)
dg.add_edge(2, 4)
dg.add_edge(3, 4)
assert bfs(dg, 1) == [1, 2, 3, 4]
def __init__(self, filename):
self.word_graph = DiGraph()
# Use with for opening file
with open(filename) as file:
d = defaultdict(list)
for line in file:
word = line.strip().lower() # Get the word
# add 'word' in '_ord', 'w_rd', 'wo_d' and 'wor_'
for i in range(4): # we know its 4 letter words
temp = word[:i] + '_' + word[i+1:]
d[temp].append(word)
# from dictionary, make graph
for l in d.values(): # For each dictionary list,
# add edge between all nodes
# in 'wor_', 'work' and 'word' are neighbours
for frm in range(len(l)):
for to in range(len(l)):
if frm != to:
self.word_graph.add_edge(l[frm], l[to])
def test_get_path_raises_path_not_found_error_if_no_path_exists():
dg = DiGraph()
dg.add_nodes_from([1, 2, 3, 4, 5])
dg.add_edge(1, 2)
dg.add_edge(2, 3)
dg.add_edge(3, 4)
dg.add_edge(4, 2)
with pytest.raises(PathNotFoundError):
get_path(dg, 1, 5)
def from_networkx(G): """ Convert a NetworkX graph into a Zen graph object. In creating the object, the NetworkX node object and node/edge data will be copied over (a shallow copy). **Returns**: The return type depends on the input type. * :py:class:`zen.Graph` if the input graph was a :py:class:`networkx.Graph`. * :py:class:`zen.DiGraph` if the input graph was a :py:class:`networkx.DiGraph`. """ Gdest = None if type(G) == networkx.DiGraph: Gdest = DiGraph() elif type(G) == networkx.Graph: Gdest = Graph() else: raise Exception, 'Unable to convert graph object type %s' % str(type(G)) # add nodes for n,nd in G.nodes_iter(data=True): Gdest.add_node(n,nd) # add edges for x,y,ed in G.edges_iter(data=True): Gdest.add_edge(x,y,ed) return Gdest
def test_topo_order(self):
g = DiGraph(4)
g.add_edge(0, 1)
g.add_edge(0, 2)
g.add_edge(1, 3)
g.add_edge(2, 3)
self.assertFalse(HamiltonPathDag(g).has_hamilton_path)
def from_networkx(G): """ This function converts a graph from a networkx data structure into a Zen graph. """ Gdest = None if type(G) == networkx.DiGraph: Gdest = DiGraph() elif type(G) == networkx.Graph: Gdest = Graph() else: raise Exception, 'Unable to convert graph object type %s' % str(type(G)) # add nodes for n,nd in G.nodes_iter(data=True): Gdest.add_node(n,nd) # add edges for x,y,ed in G.edges_iter(data=True): Gdest.add_edge(x,y,ed) return Gdest
return False
def cycle_undirected(g):
visited = [False] * (g.num_vert + 1)
for node in g: # loop through all the nodes
if visited[node.key] != True:
if cycle_dfs_u(g, node.key, visited, -1):
return True
print('No cycle')
if __name__ == '__main__':
g = DiGraph()
g.add_edge(3, 2)
g.add_edge(4, 5)
g.add_edge(5, 2)
g.add_edge(5, 3)
g.add_edge(3, 1)
g.add_edge(6, 5)
# cycle_directed(g)
g = NGraph()
g.add_edge(1, 5)
g.add_edge(4, 5)
g.add_edge(4, 6)
g.add_edge(3, 6)
g.add_edge(3, 2)
g.add_edge(2, 6)
if ret == maxim: # this is the maximum seen so far.
maxim_path = m_path.copy() # NBNBNBNB: Do a copy().
path.pop()
visited.remove(neigh)
return maxim, maxim_path # If not connected, return (0, [])
def maximum_cost_path(g, start, end): # COPIED
visited = set()
visited.add(start)
path = [start]
return _maximum_cost_path(g, start, end, visited, path, 0)
if __name__ == '__main__':
g = DiGraph()
g.add_edge(0, 1)
g.add_edge(0, 6)
g.add_edge(1, 2)
g.add_edge(1, 5)
g.add_edge(1, 6)
g.add_edge(2, 3)
g.add_edge(3, 4)
g.add_edge(5, 2)
g.add_edge(5, 3)
g.add_edge(5, 4)
g.add_edge(6, 5)
g.add_edge(7, 1)
g.add_edge(7, 6)
print(count_paths(g, 1, 5))
print(paths_with_m_edges(g, 0, 3, 4))
def initialize(evm):
"""
Initialize contract analysis, disassemble EVM bytecode, construct basic blocks, create DFG and CFG
"""
contr = Contract()
dfg = DiGraph() # Data Flow Graph
cfg = DiGraph() # Control Flow Graph
cur_blk = BasicBlock(0)
pc = 0
while pc < len(evm):
op = evm[pc]
if op not in opcodes.listing:
raise KeyError('Invalid op. op: {:#x}, offset: {:#x}'.format(op, pc))
name = opcodes.listing[op][0]
size = opcodes.operand_size(op)
if size != 0:
arg = int.from_bytes(evm[pc + 1:pc + 1 + size], byteorder='big')
else:
arg = None
instr = Instruction(op, name, arg)
if name == 'JUMPDEST':
if len(cur_blk.instructions) > 0:
contr.blocks.append(cur_blk)
# Add CFG nodes, representing basic blocks
cfg.graph.add_node(cur_blk.offset, blk=cur_blk)
new_blk = BasicBlock(pc)
cur_blk.next = new_blk
cur_blk = new_blk
cur_blk.offset += 1
contr.jump_destination[pc] = cur_blk
contr.instructions[pc] = instr
else:
cur_blk.instructions.append(instr)
contr.instructions[pc] = instr
if opcodes.is_swap(op) or opcodes.is_dup(op):
# Omit SWAP and DUP from IDG
pass
elif (name == 'JUMP' or name == 'JUMPI' or name == 'STOP' or name == 'RETURN' or
name == 'REVERT' or name == 'INVALID' or name == 'SUICIDE'):
contr.blocks.append(cur_blk)
# Add CFG nodes, representing basic blocks
cfg.graph.add_node(cur_blk.offset, blk=cur_blk)
new_blk = BasicBlock(pc + 1)
cur_blk.next = new_blk
cur_blk = new_blk
# Add DFG nodes, representing instructions
dfg.graph.add_node(pc, instr=instr)
else:
# Add DFG nodes, representing instructions
dfg.graph.add_node(pc, instr=instr)
pc += size + 1
if len(cur_blk.instructions) > 0 or cur_blk.offset - 1 in contr.jump_destination:
contr.blocks.append(cur_blk)
# Add CFG nodes, representing basic blocks
cfg.graph.add_node(cur_blk.offset, blk=cur_blk)
else:
contr.blocks[-1].next = None
return contr, dfg, cfg
if to_neighbour == 1:
current_v = random.choice(adj_list[current_v])
else:
others = [x for x in range(len(adj_list)) if x != current_v]
current_v = random.choice(others)
visit_counter[current_v] += 1
page_rank_list = [(idx, el/n) for idx, el in enumerate(visit_counter)]
page_rank_list.sort(key=lambda l: l[1], reverse=True)
for el in page_rank_list:
print(f"{el[0]} ==> PageRank = {el[1]}")
# print(page_rank_list)
# return visit_counter
if __name__ == "__main__":
adj_list = [
[1, 3, 4],
[2, 4],
[1, 3, 5],
[2],
[1, 3, 5],
[1]
]
g = DiGraph(6)
g.create_with_adj_list(adj_list)
g.print()
# digraph_plot(g.adj_matrix)
random_walk(g.adj_list, 100000)
def setUp(self):
print 'setUp w/prob1.twef'
self.graph = DiGraph()
if self.graph.import_twef('examples/prob1.twef'):
assert False, "import_twef() fails"
class TestDiGraph(unittest.TestCase):
def setUp(self):
print 'setUp w/prob1.twef'
self.graph = DiGraph()
if self.graph.import_twef('examples/prob1.twef'):
assert False, "import_twef() fails"
def testTrivial(self):
self.failUnless(True)
def testRouteDistanceABC(self):
self.failIf(self.graph.distance('ABC') != 9)
def testRouteDistanceAD(self):
self.failIf(self.graph.distance('AD') != 5)
def testRouteDistanceADC(self):
self.failIf(self.graph.distance('ADC') != 13)
def testRouteDistanceAEBCD(self):
self.failIf(self.graph.distance('AEBCD') != 22)
def testRouteDistanceAED(self):
self.failIf(self.graph.distance('AED') >= 0)
def testNRforCCwhereStopsLT3Cyclic(self):
(result, routes) = self.graph.get_routes('CC', 'cyclic', 'stops', 'lt', '3')
print "result == {0}".format(result)
print "routes == {0}".format(routes)
self.failIf(result != 0)
self.failIf(set(routes) != set(['CEBC', 'CDC']))
def testNRforACwhereStopsEQ3Cyclic(self):
(result, routes) = self.graph.get_routes('AC', 'cyclic', 'stops', 'eq', '3')
print "result == {0}".format(result)
print "routes == {0}".format(routes)
self.failIf(result != 0)
self.failIf(set(routes) != set(['ABCDC', 'ADCDC', 'ADEBC']))
def testRShortestAC(self):
(result, distance, route) = self.graph.get_shortest_distance('A', 'C')
print "result == {0}".format(result)
print "distance == {0}".format(distance)
print "route == {0}".format(route)
self.failIf(result != 0)
self.failIf(route != 'ABC')
self.failIf(distance != 9)
def testRShortestBB(self):
(result, distance, route) = self.graph.get_shortest_distance('B', 'B')
print "result == {0}".format(result)
print "distance == {0}".format(distance)
print "route == {0}".format(route)
self.failIf(result != 0)
self.failIf(route != 'BCEB')
self.failIf(distance != 9)
def testNRforCCwhereDistanceLT30Cyclic(self):
(result, routes) = self.graph.get_routes('CC', 'cyclic', 'distance', 'lt', '30')
print "result == {0}".format(result)
print "routes == {0}".format(routes)
self.failIf(result != 0)
self.failIf(set(routes) != set(['CEBC', 'CEBCEBC', 'CEBCEBCEBC', 'CEBCDC', 'CDC', 'CDCEBC', 'CDEBC']))
def main(args):
""" ThoughtWorks Interactive Graph (TWIG) Command Line Interface (CLI) """
# Initialize a log file. This is a good habit for production-quality utilities/systems.
if not os.path.isdir(os.path.join(os.getcwd(), '../log')):
os.makedirs('../log')
log_file = os.path.join(os.getcwd(), '../log', 'trace.log')
if args.append:
if args.debug:
logging.basicConfig(filename=log_file,
level=logging.DEBUG,
filemode='a',
format='%(asctime)s-%(msecs)d %(name)s %(levelname)s %(message)s',
datefmt='%Y%m%d %H:%M:%S')
else:
logging.basicConfig(filename=log_file,
level=logging.WARNING,
filemode='a',
format='%(asctime)s-%(msecs)d %(name)s %(levelname)s %(message)s',
datefmt='%Y%m%d %H:%M:%S')
else:
if args.debug:
logging.basicConfig(filename=log_file,
level=logging.DEBUG,
filemode='w',
format='%(asctime)s-%(msecs)d %(name)s %(levelname)s %(message)s',
datefmt='%Y%m%d %H:%M:%S')
else:
logging.basicConfig(filename=log_file,
level=logging.WARNING,
filemode='w',
format='%(asctime)s-%(msecs)d %(name)s %(levelname)s %(message)s',
datefmt='%Y%m%d %H:%M:%S')
if args.verbose:
logging.debug("Logging configured for %s", log_file)
now = datetime.datetime.now()
logging.debug("Starting ThoughtWorks coding-test-problem-1 command at %s",
str(now))
# Initialize a class DiGraph object as per the CLI-supplied (TWEF-format) filename
graph = DiGraph()
if graph.import_twef(args.graph_filename):
logging.debug("ABORT- graph.import_twef(%s) fails", args.graph_filename)
return 0
logging.debug("graph.dump():\n%s", graph.dump())
edge_list = graph.edges()
logging.debug("edge_list:\n%s", edge_list)
# Delegate to the appropriate command handler (for this command line's query)
if args.ikind.lower() == 'route':
if not cmd_route(args, graph):
logging.debug("cmd_route() succeeds")
else:
print 'Route command failed. Something went wrong! \nConsult {0}'.format(log_file)
elif args.ikind.lower() == 'num_routes':
if not cmd_num_routes(args, graph):
logging.debug("cmd_num_routes() succeeds")
else:
print 'Num_routes command failed. Something went wrong! \nConsult {0}'.format(log_file)
else:
print 'Unrecognized command: {0}. No handler. Giving up.'.format(args.ikind.lower())
logging.debug("Logging complete for %s. Main() is done.", log_file)
return 0
def test_get_path_returns_path_when_source_and_destination_are_same():
dg = DiGraph()
dg.add_nodes_from([1, 2, 3, 4, 5])
assert get_path(dg, 1, 1) == [1]
# we need 3 flags (0, 1, 2) to check if there is a cycle.
# 0=not visited, 1=in the process, 2=visited
for node in g.get_vertices():
visited[node] = 0
# Go through each non-visited node and start a DFS from that node
for node in g.get_vertices():
if visited[node] != 2:
depth_traversal(g, node, visited, topology)
# Reverse the topology and print
print(topology[::-1])
return topology[::-1]
if __name__ == '__main__':
g = DiGraph()
g.add_edge(6, 3)
g.add_edge(3, 7)
g.add_edge(3, 2)
g.add_edge(1, 2)
g.add_edge(10, 1)
# g.add_edge(2, 8)
# g.add_edge(5, 9)
# g.add_edge(5, 4)
# g.add_edge(4, 8)
# g.add_edge(8, 6)
try:
topological_sort(g)
except CycleException:
print('Graph contains Cycle')
def test_source_is_reachable_from_source():
dg = DiGraph()
dg.add_nodes_from([1, 2, 3, 4, 5])
assert is_reachable(dg, 1, 1)
class KnightsTour:
def __init__(self, row, column):
self.board = DiGraph() # Directed graph
self.row = row
self.column = column
for r in range(row):
for c in range(column):
pos = (r * column) + c
# For each position, find the valid moves and add as edges
for neigh in self.get_neighs(r, c):
self.board.add_edge(pos, neigh)
def get_neighs(self, row, column):
# For each position, there can be up to 8 valid moves
moves = [(-2, -1), (-2, 1), (-1, -2), (-1, 2), (1, -2), (1, 2),
(2, -1), (2, 1)]
ret = []
for x, y in moves:
n_row = row + x
n_clm = column + y
# If a valid move, add it to return list
if 0 <= n_row < self.row and 0 <= n_clm < self.column:
neigh = n_row * self.column + n_clm
ret.append(neigh)
return ret
def order_by_avail(self, start, visited):
ret = []
node = self.board.vert_list[start]
for neigh in node.get_neighs():
if neigh in visited:
continue
c = 0
for next in self.board.vert_list[neigh].get_neighs():
if next not in visited:
c += 1
# Out of for loop. C can be 0 also. Still need to include in ret
ret.append((neigh, c))
# wrong because ret.sort return None
# return [y[0] for y in ret.sort(key=lambda x:x[1])]
return [y[0] for y in sorted(ret, key=lambda x: x[1])]
def solve(self, start):
visited = set()
path = [] # passing of path technique happens with DFS
return self._solve(start, path, visited)
def _solve(self, start, path, visited):
path.append(start)
visited.add(start) # mark this node as visited
if len(visited) == self.board.num_vert: # Visited all nodes
print(path)
return 1
count = 0
# for neigh in node.get_neighs():
for neigh in self.order_by_avail(start, visited):
if neigh in visited: # neigh may get visited after getting it as list in order_by_avail
continue
count += self._solve(neigh, path, visited)
# if self._solve(neigh, path, visited): # solve using neigh
# If solved, Done
# return True
# Done with start. No path found through it.
visited.remove(start)
path.pop()
return count
g.add_edge(1, 8, 3)
g.add_edge(2, 4, 8)
g.add_edge(2, 5, 2)
g.add_edge(3, 8, 8)
g.add_edge(3, 9, 9)
g.add_edge(3, 10, 4)
g.add_edge(4, 11, 5)
g.add_edge(5, 6, 1)
g.add_edge(5, 9, 3)
g.add_edge(5, 10, 9)
g.add_edge(6, 7, 8)
g.add_edge(9, 10, 5)
g.add_edge(9, 12, 10)
g.add_edge(11, 12, 2)
dijkstra(g, 1)
g = DiGraph()
g.add_edge(1, 3, 4)
g.add_edge(1, 6, 3)
g.add_edge(2, 1, -1)
g.add_edge(2, 5, 6)
g.add_edge(3, 2, 2)
g.add_edge(3, 4, 1)
g.add_edge(4, 6, 2)
g.add_edge(5, 3, 3)
g.add_edge(5, 6, -2)
g.add_edge(6, 7, -1)
g.add_edge(7, 5, 8)
dijkstra(g, 1)
def generate_reverse_graph(self):
self.rg = DiGraph(self.g.V)
for i in range(self.rg.V):
for j in self.g.adj(i):
self.rg.add_edge(j, i)
class DigraphHasReachableVertex:
def __init__(self, g):
self.g = g
self.rg = None
self.done = [False]*self.g.V
self.topo_order = []
self.cc_count = 0
self.cc_id = [-1]*self.g.V #Valid id are positive integeres starting from 1
self.generate_reverse_graph()
self.populate_topo_order()
self.cc_dag = DiGraph(0)
self.populate_strongly_cc_dag()
def populate_topo_order(self):
for i in range(self.rg.V):
if not self.done[i]:
self.topo_util(i, self.rg)
def get_reverse_topo_order(self):
return list(reversed(self.topo_order))
def topo_util(self, v, g):
self.done[v] = True
for each in g.adj(v):
if not self.done[each]:
self.topo_util(each, g)
self.topo_order.append(v)
def generate_reverse_graph(self):
self.rg = DiGraph(self.g.V)
for i in range(self.rg.V):
for j in self.g.adj(i):
self.rg.add_edge(j, i)
def populate_strongly_cc_dag(self):
self.done = [False]*self.g.V
for each in self.get_reverse_topo_order():
if not self.done[each]:
self.cc_count += 1
self.cc_dag.add_vertex()
self.cc_dfs(each)
def cc_dfs(self, v):
self.done[v] = True
self.cc_id[v] = self.cc_count-1
for each in self.g.adj(v):
if self.done[each] and self.cc_id[each] != self.cc_id[v]:
self.cc_dag.add_edge(self.cc_count-1, self.cc_id[each])
if not self.done[each]:
self.cc_dfs(each)
def has_rechable_vertex(self):
zero_degree_count = 0
for i in range(self.cc_dag.V):
if len(self.cc_dag.adj(i))==0:
zero_degree_count += 1
if zero_degree_count > 1:
return False
if zero_degree_count == 0:
return False
return True
sor = sorted(sor, key=itemgetter(1), reverse=True)
alphabet = [
'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N',
'O', 'P', 'R', 'S', 'T'
]
print('Ilość iteracji:', it)
for i in range(len(sor)):
print('{} ==> PageRank = {:.6f}'.format(alphabet[sor[i][0]],
sor[i][1]))
print()
if __name__ == '__main__':
adj_list = [[1, 3, 4], [2, 4], [1, 3, 5], [1], [1, 3, 5], [1]]
adj_list = [[4, 5, 8], [0, 2, 5], [1, 3, 4, 11], [2, 4, 7, 8, 10],
[2, 6, 7, 8], [1, 6], [4, 5, 7], [3, 6, 8, 11], [3, 4, 7, 9],
[8], [3, 8], [0, 7]]
adj_list = [[2], [4, 6], [3, 4, 5], [5], [5, 7], [1, 2, 3, 4, 7], [5],
[0, 2, 3, 5, 6]]
n = len(adj_list)
g = DiGraph(n)
g.create_with_adj_list(adj_list)
page_rank(g)
