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+ class Solution :
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+ def coinChange (self , coins : List [int ], amount : int ) -> int :
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+ result = [amount + 1 ] * (amount + 1 )
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+ result [0 ] = 0
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+
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+ for i in range (1 , amount + 1 ):
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+ for c in coins :
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+ if i >= c :
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+ result [i ] = min (result [i ], result [i - c ] + 1 )
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+
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+ if result [amount ] == amount + 1 :
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+ return - 1
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+
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+ return result [amount ]
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+
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+ ## TC: O(n * len(coins)) , SC: O(n), where n denotes amount
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+ class Solution :
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+ def numDecodings (self , s : str ) -> int :
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+ if not s or s [0 ] == "0" :
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+ return 0
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+
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+ n = len (s )
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+ dp = [0 ] * (n + 1 )
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+ dp [0 ], dp [1 ] = 1 , 1
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+
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+ for i in range (2 , n + 1 ):
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+ one = int (s [i - 1 ])
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+ two = int (s [i - 2 :i ])
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+
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+ if 1 <= one <= 9 :
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+ dp [i ] += dp [i - 1 ]
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+
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+ if 10 <= two <= 26 :
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+ dp [i ] += dp [i - 2 ]
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+
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+ return dp [n ]
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+
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+ ## TC: O(n), SC: O(1)
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