Your Ride Is Here

It is a well-known fact that behind every good comet is a UFO. These UFOs often come to collect loyal supporters from here on Earth. Unfortunately, they only have room to pick up one group of followers on each trip. However, they do let the groups know ahead of time which group will be picked up for each comet via a clever scheme: they pick a name for the comet which, along with the name of the group, can be used to determine if it is a particular group's turn to go (who do you think names the comets?). The details of the matching scheme are given below; your job is to write a program which takes the names of a group and a comet and determines whether the group should go with the UFO behind that comet.

Both the group's name and the comet's name are converted into a number in the following manner: the final number is just the product of all the letters in the name, where A is $1$ and Z is $26$. For instance, the group "USACO" would be 21 \times 19 \times 1 \times 3 \times 15 = 17955. If the group's number mod $47$ is the same as the comet's number mod $47$, then you need to tell the group to get ready! (Remember that "a \bmod b" is the remainder left over after dividing $a$ by $b$; 34 \bmod 10 is $4$.)

Write a program which reads in the name of the comet and the name of the group and determines whether, according to the above scheme, the names are a match. Print "GO" if they match, and "STAY" otherwise. The names of the groups and the comets will be strings of capital letters with no spaces or punctuation.