I binged yesterday and then i purged after(once a week) will this make me gain weight?

I exercise 4-5 times a week, running more than 7 km. I am a very active person. On the day that i dont binge i eat 1700 kcal. Will this make me fat if i binge once a week and purge afterwards? I am very scared. My height is 172 cm and my weight is 54 kgs.