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I think I solved it though.

 

-snip-

Thus, j6hbeOM.png < 1/2 * 1 = 1/2 < 1 => xn < 1

 Wow, really nice. Lovely solution!

My (first) build: i7 4790k | Noctua NH-U14S + NF-A15 | Gigabyte Z97X-SLI | G.Skill Ripjaws X 2x4GB 2133MHz CL9 | Samsung 840 EVO 120GB | Seagate 2TB SSHD | 2x MSI R9 270X TwinFrozr crossfire | Seasonic G Series 750W 80+ Gold | Asus VX238H 23" | GAMDIAS HERMES | Logitech G602 | Steelseries QcK | Windows 8.1

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 Wow, really nice. Lovely solution!

Still don't know if it's correct though.

i5 4670k @ 4.2GHz (Coolermaster Hyper 212 Evo); ASrock Z87 EXTREME4; 8GB Kingston HyperX Beast DDR3 RAM @ 2133MHz; Asus DirectCU GTX 560; Super Flower Golden King 550 Platinum PSU;1TB Seagate Barracuda;Corsair 200r case. 

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Still don't know if it's correct though.

Edit: Oh yeah it's not quite.

This line:

xn < jyCJ8kE.png

doesn't lead into this one:

xn  < rwbExrZ.png

My (first) build: i7 4790k | Noctua NH-U14S + NF-A15 | Gigabyte Z97X-SLI | G.Skill Ripjaws X 2x4GB 2133MHz CL9 | Samsung 840 EVO 120GB | Seagate 2TB SSHD | 2x MSI R9 270X TwinFrozr crossfire | Seasonic G Series 750W 80+ Gold | Asus VX238H 23" | GAMDIAS HERMES | Logitech G602 | Steelseries QcK | Windows 8.1

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