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Coin Change - Minimum Coins

Medium

Coin Change - Minimum Coins

Given coin denominations, find the minimum number of coins to make a target amount.

Input format

The first line contains N and AMOUNT. The second line contains N arbitrary coin denominations.

Output format

Print the minimum number of coins, or -1 if impossible.

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
3 82
44 4 14
Expected output
8
Example 2
Input
6 15
11 15 37 27 24 50
Expected output
1