mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-25 12:40:14 +00:00
27 lines
825 B
Python
27 lines
825 B
Python
"""
|
|
You have m types of coins available in infinite quantities
|
|
where the value of each coins is given in the array S=[S0,... Sm-1]
|
|
Can you determine number of ways of making change for n units using
|
|
the given types of coins?
|
|
https://www.hackerrank.com/challenges/coin-change/problem
|
|
"""
|
|
from __future__ import print_function
|
|
def dp_count(S, m, n):
|
|
table = [0] * (n + 1)
|
|
|
|
# Base case (If given value is 0)
|
|
table[0] = 1
|
|
|
|
# Pick all coins one by one and update table[] values
|
|
# after the index greater than or equal to the value of the
|
|
# picked coin
|
|
for i in range(0, m):
|
|
for j in range(S[i], n + 1):
|
|
table[j] += table[j - S[i]]
|
|
|
|
return table[n]
|
|
|
|
if __name__ == '__main__':
|
|
print(dp_count([1, 2, 3], 3, 4)) # answer 4
|
|
print(dp_count([2, 5, 3, 6], 4, 10)) # answer 5
|