Question Number 153478 by naka3546 last updated on 07/Sep/21
$$\mathrm{2016}−\mathrm{2}{x}\:=\:\mid{x}−{a}\mid+\mid{x}−{b}\mid+\mid{x}−{c}\mid\:\:\:{has}\:\:{only}\:\:{one}\:\:{solution}\:. \\ $$$${a}<{b}<{c}\:\: \\ $$$${a},{b},{c}\:\in\:\mathbb{Z} \\ $$$${Find}\:\:{the}\:\:{lowest}\:\:{value}\:\:{of}\:\:{c}. \\ $$