Two products are sold from a vending machine, which has two push buttons and . When a button is pressed, the price of the corresponding product is displayed in a 7-segment display.

If no buttons are pressed, ‘0’ is displayed, signifying ‘Rs. 0’.

If only  is pressed, ‘2’ is displayed, signifying ‘Rs. 2’.

If only  is pressed, ‘5’ is displayed, signifying ‘Rs. 5’.

If both  and  are pressed, ‘E’ is displayed, signifying ‘Error’.

The names of the segments in the 7-segment display, and the glow of the display for ‘0’, ‘2’, ‘5’ and ‘E’, are shown below.

Consider

(i) Push button pressed /not pressed is equivalent to logic 1/0 respectively,

(ii) A segment glowing / not glowing in the display is equivalent to logic 1/0 respectively

If the segments a to g are considered as functions of  and , then which of the following is correct?