suppose:

v : array of guards' request

P(n): our problem: least coin spent until guard n, according to these rules

M(n, x): least coin possibly combined equal to or larger than x until guard 
n

then:

P(n) = min(P(n-1)+v[n], M(n-1, v[n]))
M(n, x) = min(M(n-1, x), M(n-1, x-v[n]) + v[n])

On Monday, February 4, 2013 8:24:19 PM UTC+8, marti wrote:
>
> You have N guards in a line each with a demand of coins.You can skip 
> paying a guard only if his demand is lesser than what you have totally paid 
> before reaching him.Find the least number of coins you spend to cross all 
> guards.
> I think its a DP problem but cant come up with a formula.Another approach 
> would be to binary search on the answer but how do I verify if no. of coins 
> is a possible answer?
>

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