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amount = 5
coins = [1,2,5]
def change(amount, coins):
dp = [[1]+[0]*amount for _ in range(len(coins)+1)]
for i in range(1, len(coins)+1):
for j in range(1, amount+1):
if coins[i-1] <= j:
dp[i][j] = dp[i-1][j] + dp[i][j-coins[i-1]]
else:
dp[i][j] = dp[i-1][j]
print(dp)
return dp[len(coins)][amount] # or dp[-1][-1]
print( change( amount, coins ) )