Fantasy Yatra App: An Exponential Journey Through the Chess Wheat Problem

what is fantasy yatra app

It is a head on head contest where players start with level 1 key and if they manage to win 22 levels they can win 1 crore rupees .

so the question arise how many players have to play in first round in order to find a player in the 22nd round given no players leave mid way . For this we need to understand the chess wheat problem first .

chess wheat problem

The Chess Wheat Problem illustrates exponential growth. It starts by placing 1 grain of wheat on the first square of a chessboard, and on each subsequent square, the number of grains is doubled. With 64 squares on a chessboard, the total number of grains becomes enormous very quickly. Below is how the grains of wheat would look for specific squares:

Grains of Wheat on Select Squares:

1. 1st square: 20=12^0 = 120=1 grain
2. 2nd square: 21=22^1 = 221=2 grains
3. 3rd square: 22=42^2 = 422=4 grains
4. 4th square: 23=82^3 = 823=8 grains

… 19. 19th square: 218=262,1442^{18} = 262,144218=262,144 grains 20.

20th square: 219=524,2882^{19} = 524,288219=524,288 grains 21.

21st square: 220=1,048,5762^{20} = 1,048,576220=1,048,576 grains 22.

22nd square: 221=2,097,1522^{21} = 2,097,152221=2,097,152 grains

Exponential Growth:

• By the time we reach the 22nd square, we already have over 2 million grains of wheat, showing how quickly the numbers grow.
• If we continue this pattern up to the 64th square, the total amount of wheat becomes astronomically large—more than all the wheat ever produced in human history!

This example demonstrates how even a modest doubling process can result in massive quantities over time.

So in order for someone to play the 1 crore match in Fantasy yatra app in the first level more than 20 lakh people will have to play.

But Fantasy yatra app has other entry point also such as the 5th level and 14 th level which can reduce the number of players required but still most of the players will get out of the game way below the 22nd level with different prizes .so lets see how many people will eventually win the 1 crore prize here.