How much work did the gravity do from just before the frame was hung to the maximum displacement of the frame and putty?

$0$mfg$($y$0+$ymax$)$mpg$($h$+$ymax$)$mfg$($y$0+$ymax$)$mpg$($h$+$ymax$)$mfg$($y$0+$ymax$)+$mpg$($h$+$ymax$)$mfg$($y$0+$ymax$)+$mpg$($h$+$ymax$)$m$$fg$($y$0+$ymax$)+$m$$pg$($h$+$ymax$)$m$$fg$($y$0+$ymax$)+$m$$pg$($h$+$ymax$)$mfg$($y$0+$ymax$)+$mpg$($h$+$ymax$)$mfg$($y$0+$ymax$)+$mpg$($h$+$ymax$)$