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Knapsack or Coin Change DP
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Knapsack or Coin Change DP

HardPython

Problem

Design and implement a function to solve a classic dynamic programming problem such as the knapsack problem or coin change problem, and explain your complexity trade-offs. Implement the coin change variant below using coin_change(coins, amount); return the minimum number of coins needed to form amount, or -1 if it is impossible. Coins may be reused, and return 0 when amount is zero. For example, [1, 2, 5], 11 returns 3, while [2], 3 returns -1.

Constraints

  • 1 <= len(coins) <= 100
  • 1 <= coins[i] <= 10^4
  • 0 <= amount <= 10^4
  • Coins may be reused any number of times
  • Return -1 when the amount is unreachable

Function Signature

def coin_change(coins, amount):
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