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#4300: _istil
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And in that light, I find deliverance.
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$$\text{dp}_i = \min_{j < i} f(j)\times g(i) + h(j) + \text{dp}_j$$
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Remaker
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$f_t=\sum\limits_{i=0}^{n-1}{n\choose i}(-1)^{n-1-i}\frac{i^{t-1}(n-i)}{n^t}$
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