Please explain this interesting question in the figure...The answer is (3).
Q. Starting from rest on her swing at initial height $h_0$ above the ground, Saina swings forward. At the lowest point of her motion, she grabs her bag that lies on the ground. Saina continues swinging forward to reach maximum height $h_1$. She then swings backward and when reaching the lowest point of motion again, she simple lets go off the bag, which falls freely. Saina's backward swing then reaches maximum height $h_2$. Neglecting air resistance, how are the three heights related ?

(1) $h_0>h_1>h_2$
(2) $h_0=h_1=h_2$
(3) $h_0>h_1=h_2$
(4) $h_0=h_2>h_1$