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58 changes: 30 additions & 28 deletions dynamic_programming/subset_generation.py
Original file line number Diff line number Diff line change
@@ -1,44 +1,46 @@
# Print all subset combinations of n element in given set of r element.


def combination_util(arr, n, r, index, data, i):
def combinations(arr, n, r, index=0, data=None, i=0):
"""
Current combination is ready to be printed, print it
arr[] ---> Input Array
data[] ---> Temporary array to store current combination
start & end ---> Staring and Ending indexes in arr[]
index ---> Current index in data[]
r ---> Size of a combination to be printed
Generate and print all combinations of 'r' elements from the input list 'arr'.
Args:
arr (list): The input list from which combinations are generated.
n (int): The total number of elements in the input list 'arr'.
r (int): The size of the combinations to be generated.
index (int, optional): The current index in the 'data' array. Defaults to 0.
data (list, optional): Temporary array to store the current combination.
i (int, optional): The current index in the input list 'arr'. Defaults to 0.
Returns:
None: This function prints the combinations but does not return a value.
Examples:
>>> arr = [1, 2, 3, 4]
>>> n = len(arr)
>>> r = 2
>>> combinations(arr, n, r)
1 2
1 3
1 4
2 3
2 4
3 4
"""
if data is None:
data = [0] * r

if index == r:
for j in range(r):
print(data[j], end=" ")
print(" ")
return
# When no more elements are there to put in data[]
if i >= n:
return
# current is included, put next at next location
data[index] = arr[i]
combination_util(arr, n, r, index + 1, data, i + 1)
# current is excluded, replace it with
# next (Note that i+1 is passed, but
# index is not changed)
combination_util(arr, n, r, index, data, i + 1)
# The main function that prints all combinations
# of size r in arr[] of size n. This function
# mainly uses combinationUtil()


def print_combination(arr, n, r):
# A temporary array to store all combination one by one
data = [0] * r
# Print all combination using temporary array 'data[]'
combination_util(arr, n, r, 0, data, 0)
combinations(arr, n, r, index + 1, data, i + 1)
combinations(arr, n, r, index, data, i + 1)


if __name__ == "__main__":
# Driver code to check the function above
arr = [10, 20, 30, 40, 50]
print_combination(arr, len(arr), 3)
# This code is contributed by Ambuj sahu
import doctest

doctest.testmod()