Syntax error Program to find number of distinct coin sums we can make with coins and quantities in Python?

Program to find number of distinct coin sums we can make with coins and quantities in Python?

Suppose we have a list of values called coins and another list called quantities of the same length. The value of ith coin is coins[i] and we currently have quantities[i] number of ith coin. We have to find number of distinct coin sum values we can get by using non-empty group of these coins.

So, if the input is like coins = [1, 2, 5] quantities = [1, 2, 1], then the output will be 10, as we can have the following distinct coin sums [1] = 1, [2] = 2, [1,2] = 3, [2,2] = 4, [5] = 5,[1,5] = 6, [2,5] = 7, [1,2,5] = 8, [2,2,5] = 9, [1,2,2,5] = 10.

To solve this, we will follow these steps:

Define a function rec() . This will take i, res

if i is same as size of coins , then
   return
for k in range 0 to quantities[i] + 1, do
   cur := res + k * coins[i]
   insert cur into fres
   rec(i + 1, cur)
From the main method, do the following:
fres := a new set
rec(0, 0)
return size of fres - 1

Example

 Live Demo

class Solution:
   def solve(self, coins, quantities):
      def rec(i, res):
         if i == len(coins):
            return
         for k in range(0, quantities[i] + 1):
            cur = res + k * coins[i]
            fres.add(cur)
            rec(i + 1, cur)

      fres = set()
      rec(0, 0)
      return len(fres) - 1

ob = Solution()
coins = [1, 2, 5]
quantities = [1, 2, 1]
print(ob.solve(coins, quantities))

Input

[1, 2, 5], [1, 2, 1]

Output

10
Updated on: 2020-11-10T09:12:25+05:30

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