Coin Change - Number of Ways
Given coin denominations, count the number of ways to make a target amount.
Input format
The first line contains N (≤8) and AMOUNT (≤200). The second line contains N distinct coin denominations.
Output format
Print the count of combinations (coin order doesn't matter) that sum to AMOUNT.
Constraints
- Values fit in a 64-bit signed integer
- Trailing whitespace and a trailing newline are ignored by the judge
Read from stdin, write to stdout. Sample cases below show the exact format.
Sample cases
Example 1
Input
7 181
9 37 35 31 1 23 38Expected output
1473Example 2
Input
6 84
45 19 48 2 22 32Expected output
17