psf/black code formatting (#1277)
This commit is contained in:
committed by
Christian Clauss
parent
07f04a2e55
commit
9eac17a408
@@ -13,54 +13,55 @@ from collections import defaultdict
|
||||
|
||||
|
||||
class AssignmentUsingBitmask:
|
||||
def __init__(self,task_performed,total):
|
||||
def __init__(self, task_performed, total):
|
||||
|
||||
self.total_tasks = total #total no of tasks (N)
|
||||
self.total_tasks = total # total no of tasks (N)
|
||||
|
||||
# DP table will have a dimension of (2^M)*N
|
||||
# initially all values are set to -1
|
||||
self.dp = [[-1 for i in range(total+1)] for j in range(2**len(task_performed))]
|
||||
self.dp = [
|
||||
[-1 for i in range(total + 1)] for j in range(2 ** len(task_performed))
|
||||
]
|
||||
|
||||
self.task = defaultdict(list) #stores the list of persons for each task
|
||||
self.task = defaultdict(list) # stores the list of persons for each task
|
||||
|
||||
#finalmask is used to check if all persons are included by setting all bits to 1
|
||||
self.finalmask = (1<<len(task_performed)) - 1
|
||||
# finalmask is used to check if all persons are included by setting all bits to 1
|
||||
self.finalmask = (1 << len(task_performed)) - 1
|
||||
|
||||
|
||||
def CountWaysUtil(self,mask,taskno):
|
||||
def CountWaysUtil(self, mask, taskno):
|
||||
|
||||
# if mask == self.finalmask all persons are distributed tasks, return 1
|
||||
if mask == self.finalmask:
|
||||
return 1
|
||||
|
||||
#if not everyone gets the task and no more tasks are available, return 0
|
||||
# if not everyone gets the task and no more tasks are available, return 0
|
||||
if taskno > self.total_tasks:
|
||||
return 0
|
||||
|
||||
#if case already considered
|
||||
if self.dp[mask][taskno]!=-1:
|
||||
# if case already considered
|
||||
if self.dp[mask][taskno] != -1:
|
||||
return self.dp[mask][taskno]
|
||||
|
||||
# Number of ways when we dont this task in the arrangement
|
||||
total_ways_util = self.CountWaysUtil(mask,taskno+1)
|
||||
total_ways_util = self.CountWaysUtil(mask, taskno + 1)
|
||||
|
||||
# now assign the tasks one by one to all possible persons and recursively assign for the remaining tasks.
|
||||
if taskno in self.task:
|
||||
for p in self.task[taskno]:
|
||||
|
||||
# if p is already given a task
|
||||
if mask & (1<<p):
|
||||
if mask & (1 << p):
|
||||
continue
|
||||
|
||||
# assign this task to p and change the mask value. And recursively assign tasks with the new mask value.
|
||||
total_ways_util+=self.CountWaysUtil(mask|(1<<p),taskno+1)
|
||||
total_ways_util += self.CountWaysUtil(mask | (1 << p), taskno + 1)
|
||||
|
||||
# save the value.
|
||||
self.dp[mask][taskno] = total_ways_util
|
||||
|
||||
return self.dp[mask][taskno]
|
||||
|
||||
def countNoOfWays(self,task_performed):
|
||||
def countNoOfWays(self, task_performed):
|
||||
|
||||
# Store the list of persons for each task
|
||||
for i in range(len(task_performed)):
|
||||
@@ -68,22 +69,22 @@ class AssignmentUsingBitmask:
|
||||
self.task[j].append(i)
|
||||
|
||||
# call the function to fill the DP table, final answer is stored in dp[0][1]
|
||||
return self.CountWaysUtil(0,1)
|
||||
return self.CountWaysUtil(0, 1)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
if __name__ == "__main__":
|
||||
|
||||
total_tasks = 5 #total no of tasks (the value of N)
|
||||
total_tasks = 5 # total no of tasks (the value of N)
|
||||
|
||||
#the list of tasks that can be done by M persons.
|
||||
task_performed = [
|
||||
[ 1 , 3 , 4 ],
|
||||
[ 1 , 2 , 5 ],
|
||||
[ 3 , 4 ]
|
||||
]
|
||||
print(AssignmentUsingBitmask(task_performed,total_tasks).countNoOfWays(task_performed))
|
||||
# the list of tasks that can be done by M persons.
|
||||
task_performed = [[1, 3, 4], [1, 2, 5], [3, 4]]
|
||||
print(
|
||||
AssignmentUsingBitmask(task_performed, total_tasks).countNoOfWays(
|
||||
task_performed
|
||||
)
|
||||
)
|
||||
"""
|
||||
For the particular example the tasks can be distributed as
|
||||
(1,2,3), (1,2,4), (1,5,3), (1,5,4), (3,1,4), (3,2,4), (3,5,4), (4,1,3), (4,2,3), (4,5,3)
|
||||
total 10
|
||||
"""
|
||||
"""
|
||||
|
||||
Reference in New Issue
Block a user