Gyani baba is fond of giving new theories about stars. He discovered that there are two type of stars in this universe; one “X” type and another “Y” type stars. In one of his theories about these stars, he states that if n “X” type of stars collide with m “Y” type of stars, the collision results to formation of (m+n ) new “Y” type of stars, elimination of previous n “X” type of stars, and change of type from “Y” to “X” of previous “Y” type of stars. He termed this whole phenomenon as a “Big Bang”. The phenomenon is governed by following rules:
- All the stars collide together at once.
- Further “Big Bang” may occur only after one “Big Bang” has happened. No two ‘Big Bang’s can happen at the same instant .
- The next “Big Bang” can only occur if all the products from previous “Big Bang” collides together.
- In the year 1800A.D., people on the earth were able to count the total no. of stars in the universe. The total count of stars was 144 in the whole universe.
Find the total no. of “Big Bangs” happened till then, if initially there were only 2 stars?
