Memory, liquid storage container, and printing system

A printing system comprising:

• a printing apparatus;
• and
• a liquid storage container attached to the printing apparatus and including memory, wherein
• the memory includes
• a storage section in which ink amount information about an amount of ink stored in the liquid storage container and threshold information about a threshold of the amount of the ink are stored and
• a processing section that performs processing based on information received from the printing apparatus and information stored in the storage section,
• the printing apparatus transmits, to the memory, detection information indicating that the liquid storage container is in an unusable state,
• when receiving the detection information from the printing apparatus, the processing section performs comparing processing of comparing the ink amount information with the threshold information,
• when a result of the comparing processing satisfies a predetermined writing condition, the processing section writes the detection information to the storage section, and
• when the result of the comparing processing does not satisfy the writing condition, the processing section considers that the detection information is erroneous and consequently does not write the detection information to the storage section.