Roaming through the PSE building I come across a solid steel door. Above the door is a sign saying “Astrodome R”. I had no idea this place delved into astronomy.
Below this sign is a painting of sorts:
Obviously abstract, but I kind of like it. Below the painting is a little rhyme:
Roses are red
Violets are blue
Least pushes is best
Binary is good too
Hmm.
At the side of the door is a four digit display currently showing 0000. Below the display are two push-buttons. The left button has imprinted the text "x10" while the right button has the text "+7". Above the display is the text "Immediate calculation. Only 4 LSD shown".
LSD? Is this perhaps a storeroom for drugs?
Can you help me figure out how the 2 buttons should be pushed to open the door? And what might be behind the door?
Hint:
Hmm. Four rainbow colored sections in the painting and four digits in the display. Could there be a connection?
Hint 2:
I take a chance and try the door handle. Locked, as expected. In frustration I randomly press the two buttons for a while. The display shows 1249. The door remains locked.