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Video on Installation: A: For all windows 10,18,19,20,21,22,23,24 and 25 Download the windows10 iso from here and install it like any other OS. Once installed, open the virtualization settings and download the appropriate player software, if you have windows 10 pro, upgrade to windows 10 enterprise edition and use the ws_enterprise license and you will be good to go. If you have windows 10 home edition, download the full version from here. Once you have installed the correct virtual machine software (in my case vmware workstation 8 pro) and after installing your files, you need to do two things. First, create a virtual machine for windows. Second, run the msi file to activate your software. Q: How to efficiently determine whether a series of integers are an arithmetical progression I would like to efficiently determine whether a given series of integers is an arithmetical progression, that is: for each i in [1, N], I need to be able to efficiently compute whether there exists a j such that a[i] + a[i+1] +... + a[j] = a[i+j]. I have a brute force solution which is efficient in space but not time: it works by iterating over all possible indices. There are M*N different indices, so the algorithm is O(N2). I'm wondering if there's a more efficient solution. For example, does the problem admit a divide-and-conquer solution? A: I would not like to generalize my answer too much but I'd say a few things which can be taken as a hint in the right direction: The easiest method is by brute force iteration: Start with i=0 and see if a[i]+a[i+1]+...+a[i+j-1] = a[i+j] holds, this will be fast, but inefficient in terms of space and time. A bit of a hack: Imagine a[N-1] = 0. Then the condition a[i]+a[i+1]+...+a[i+j-1] = a[i+j] is the same as a[i] = a[

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