Convenient formulae for finding the sums of kth power of the first n natural numbers may be useful in some engineering applications. The formulae for k = 1, 2, and 3, are commonly found in the literature. In this paper, an attempt is made to develop a general algorithm for finding ...
Two pointers for two sequences 986.Interval-List-Intersections (M) 1229.Meeting-Scheduler (M+) 1537.Get-the-Maximum-Score (H-) 1577.Number-of-Ways-Where-Square-of-Number-Is-Equal-to-Product-of-Two-Numbers (H-) 1775.Equal-Sum-Arrays-With-Minimum-Number-of-Operations (M+) 1868.Product-...
For most NP-hard problems, the problem of finding k-absolute approximations is also NP-hard. As an example, consider problem NP2 (01 l-knapsack). From any instance (Pi, Wi, 1 ≤ i ≤ n, M), we can construct, in linear time, the instance (k + 1)pi, wi,≤i≤n, M). This ...
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We propose a quantum inverse iteration algorithm, which can be used to estimate ground state properties of a programmable quantum device. The method relies on the inverse power iteration technique, where the sequential application of the Hamiltonian inve
We report a proof-of-concept demonstration of a quantum order-finding algorithm for factoring the integer 21. Our demonstration involves the use of a compiled version of the quantum phase estimation routine, and builds upon a previous demonstration. We go beyond this work by using a configuration...
Our algorithm for finding network motifs is called Kavosh and consists of four subtasks:Enumeration: finding all sub-graphs of a given size that occur in the input graph;Classification: classifying each found sub-graph into isomorphic groups;Random graph generation: generating random graphs with resp...
log(n)) ) . For answer query C x y k, we will print the sum of all sx.count(k) where if the interval of node x is [l, r), x ≤ l ≤ r ≤ y + 1 and its maximal (its parent doesn't fulfill this condition) . We have no build function (because ...
Section3presents the numerical results. In Sect.3.1, a variety of symmetric nonzero-sum impulse games, many seemingly too complicated to be handled analytically, are explicitly solved for equilibrium payoffs and NE strategies with great precision. This is done on a fixed grid, while considering ...
We investigated the applicability of a DRL methodology for finding near-optimal policies in the S-CLSP that minimise the costs of set-ups, backorders, and holding inventory. This shows how uncertainty in problems can be handled in optimisation, and how trade-offs can be found for conflicting ...