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How to calculate the state of a graph?

- by zcb

Given a graph G=(V,E), each node i is associated with 'Ci' number of objects. At each step, for every node i, the Ci objects will be taken away by the neighbors of i equally. After K steps, output the number of objects of the top five nodes which has the most objects. Some Constrains: |V|<10^5, |E|<2*10^5, K<10^7, Ci<1000 My current idea is: represent the transformation in each step with a matrix. This problem is converted to the calculation of the power of matrix. But this solution is much too slow considering |V| can be 10^5. Is there any faster way to do it?

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online backup plan for a home office with servers

- by TiernanO

So, i am in the process of tweaking my spending and i need to change my backup plan... I am currently using a mix of JungleDisk and ZManda ZCB to backup files on my MacBook Pro, Main Windows Server Wrokstation, a dedicated Windows Server in a datacenter, and various other machines and file sources. The problem is the cost: this month, it has cost me about $90 to backup a little over 500Gb... This amount of data will increese over time too, since i am backing up Photos (24Mb RAW images + 4-8MB JPEGs), Videos (various cameras shooting 720p and 1080p), Music, Movies, TV shows and Apps from iTunes (though with iTunes cloud, this might not need to be backed up again) and source code... I have looked at the likes of Mozy, CrashPlan+ and Pro, Backblaze and Carbonite, but each have their problems: Mozy seems overly expenvice per gig at 50C Crashplan wont sell to me since i am outside the US (they hide it on their site... hidden in the FAQ section!) Backblaze dont support Windows Server Carbonite business pricing is $600 up front for 500Gb of storage... Fro $229, they will not backup Windows Servers. So, other than those, Jungle Disk (at 15c per Gig) or ZManda (also at 15c per Gig) what other options are there? what are other people using?