Hi Renato ,

By a[i][j] ,I mean player A has scored "j goals" in i intervals , which is
impossible coz according to given constraints a team can score a single
goal in
5 minute interval.

On Mon, Oct 31, 2011 at 11:16 PM, Renato Parente <[email protected]>wrote:

> I don't quite understand why do you consider a[i][j] = 0, if i < j
> [I'm considering that a[i][j] means state where team A have done i goals
> and team B have done j goals].
> I think it would be more correct if it were three states
>
> dp[i][j][k],  where team A have done i goals, team B have done j goals,
> and we have had already k*5 minutes played.
> so dp[0][0][0] = 1.0, but you would need to consider as well the
> possibility that both teams score in that interval, so the DP would be
>
> dp[i][j][k] = (pA/100 * (1- pB/100))*dp[i][j-1][k-1] + (pB/100 * (1 -
> pA/100))*dp[i-1][j][k-1] + pA/100 * pB/100 * dp[i-1][j-1][k-1];
>
> and this would solve.
>
>
> On 31 October 2011 09:01, mohit verma <[email protected]> wrote:
>
>> Hey guys ,
>> I am trying to solve a simple DP problem :
>> http://community.topcoder.com/stat?c=problem_statement&pm=10033  SRM 422
>> division 2 level 2.
>>
>> I have derived a recurrence for prime scores of player A like this
>>
>>     a[i][j] = 0 if i<j
>>                pow(p,i) if i==j
>>                (~p) * a[i-1][j] + p * a[i][j-1]
>>
>> where i : interval (max 18 ) , j : sum  ( max 18)
>>
>> Now after populating entries in this matrix , for each prime score : 2 ,
>>  3  , 5 ... so on upto 17  i find the probability of A for all possible
>> prime scores.
>> I am not saying that this recurrence is to solve this problem.
>>
>> Can someone please tell me if this recurrence is right or not ?
>>
>> --
>> Mohit
>>
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>
>
>
> --
> Renato Parente
> MSc candidate @ IME - Universidade de São Paulo
>
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-- 
Mohit

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