Are you sure you're out of warranty? It's not really acceptable for a new computer to catastrophically fail after 12 months. It would definitely be worth speaking with ASUS about it.
Also, I know some countries have consumer laws which demand a "reasonable" working life for products. This extends beyond standard warranties. So in Australia, for example, if you bought a washing machine with a 1 year warranty but it had a serious, fundamental failure after 18 months which couldn't be fixed for a reasonable price, you would be on very solid ground to argue that 18 months is an unacceptable life for that product and the company would likely be liable to repair, replace or refund it. There are consumer rights groups who can support these sorts of approaches and they hardly ever end up in court. It's just about approaching in the company in the right way.
I don't know what the laws are in your country, but if the PC has indeed had a complete and fundamental failure when it's less than 18 months old, I would believe that that's not a reasonable or acceptable life for a computer. If you have any consumer protection laws in your country they may well apply.