I wouldn't call that zig-zagging either because the range isn't that high. I'm starting zig-zagging as well and here's what my week is going to look like:
Sunday: 2000
Monday: 1500
Tuesday: 1400
Wednesday: 1300
Thursday: 1500
Friday: 1500
Saturday: 1800
Also, I don't know how active you are but based on the weight under your username (175) I think you could probably eat more then the 1250-1350 range. You don't want to eat too little because once you are at a lower weight and need to eat less to lose weight, you don't have many calories available to cut out.
Freedieting.com has calculators that give you an estimate of how much you can eat to lose weight. They even have a function where it zig-zags your calories for you.
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