Printer, cartridge, and medium storing program to be installed in printer

A printer includes: an installation case to which a cartridge having a first memory is installed, a printing unit which performs printing by using a print material supplied from the cartridge, a sensor which outputs a detection value according to an amount of the print material stored in the cartridge, a cartridge interface communicable with the first memory, a second memory, and a controller. The first memory stores cartridge information including: cartridge identification information and residual amount information according to the amount of the print material stored in the cartridge. The controller acquires the cartridge identification information and the residual amount information from the first memory, stores history information in the second memory, and updates the residual amount information of the history information based on information according to the amount of the print material discharged by the printing unit.