Controller for internal combustion engine, control method for internal combustion engine, and memory medium

Control circuitry executes an increase correction control for fuel when an internal combustion engine is started. A determination process determines whether warm-up in a cylinder is completed. A direct injection mode injects fuel only from a direct injection valve when it is determined that the warm-up in the cylinder is completed. A reduction process sets an increase correction amount of fuel obtained through the increase correction control when executing the direct injection mode to be less than an increase correction amount obtained prior to the execution of the direct injection mode.