here is simple way to do it..:
A[1000]  //1000 is maximum formadable sum can be provided..
S is set of coins that you have,K is the sum to be formed
initialize the array A by larege value

for(x in S):
     A[x]=1

for 0<i<1000
  for 0<j<1000
     if(i+j<1000 && A[i]+A[j]<A[i+j] )
           A[i+j]=A[i]+A[j]

return A[K]

On Sat, Apr 10, 2010 at 6:27 PM, Rohit Saraf
<rohit.kumar.sa...@gmail.com> wrote:
> What do u mean by "y u need backtracking "
> DP needs backtracking to reconstruct the solution.
> -Rohit
>
>
>
> On Sat, Apr 10, 2010 at 3:27 PM, Ashish Mishra <amishra....@gmail.com>
> wrote:
>>
>> y u need backtracking
>> i think it can be done with DP
>>
>> On Sat, Apr 10, 2010 at 9:12 AM, «« ÄÑÜJ »» <anujlove...@gmail.com> wrote:
>>>
>>> Need help in designing efficient backtracking algorithm for the coin
>>> changing problem. where a1, a2, an are the set of distinct coins
>>> types, where each ai is an integer. and each type is unlimited
>>> quantity.
>>>
>>> the problem to make up the exact amount C using minimum total  number
>>> of coins. use backtracking template with a bounding function..
>>>
>>> help appreciated......
>>>
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>>
>>
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