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My private addresses start at 10.10.0.0/16. I must make 2 subnets with 120 and 450 starting with the 120 one and not leaving any unnecessarily unused addresses.

Let me remark, it's IMPERATIVE that the 120 subnet goes first.

The first one (120) easily goes from 10.10.0.0/25 to 10.10.0.127/25.

However, I'm not sure on what to do with the second subnet (450).

Option A: from 10.10.0.128/23 to 10.10.2.127/23

Option B: from 10.10.1.0/23 to 10.10.2.255/23

B leaves a huge gap from 10.10.0.128 to 10.10.0.255 but I'm not sure I can use option A because the only example I have seen goes for B.

Vaelar
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