Rock-paper-scissors, one of the first games that people around the world learn, is a game loved by many people. This game, which is used to resolve minor disputes in our country, also has championships in some countries.

So, if we organize a world-wide tournament, how many hands must the winner play at least?

Since it will not be possible to make calculations if we do not determine the basic rules of the game, let’s write the rules first. The rules are as follows:

Everyone in the world is participating in this game. It is possible to play with Rihanna after eliminating Aunt Huriye in the neighborhood, or to eliminate Rihanna and match with US President Biden, etc. in this game. I don’t think Biden can survive that long, he will fall, but there is a possibility.

The games will be played as “field wins”. In other words, “The one who makes 3 first wins, the one who makes five wins.” There is no such thing. The result will be clear in one go. There is no draw, the game will continue until someone leaves.

So let the fight begin!

Let’s say that after 8 billion 75 million and an ever-increasing number of people gathered together, the matches were made and the games started. After the first round, the number of people will be more than 4 billion. After the second round, we will see a number slightly above 2 billion. When we reach the third round, we will be down to 1 billion.

Of course, we will not divide these numbers one by one like this, technically what we do is multiply 8-odd billion by the Xth power of half. Here we need to find a number such that the result of the operation should be 1 or as close to 1 as possible. So what power of 2 gives us 8 odd billion?

To find this, we perform the Log2(8075000000) operation. The result we get is 32.91. Now, since 0.91 hands cannot be played with anyone, the winner must play at least 33 hands.

So, if you entered this tournament, could you win?

Let’s test it together. The blurred sections below contain randomly placed selections. Moreover, your job is much easier, we will assume that you have passed the draws because you will have already seen the result. Let’s see if a “World Champion” will emerge from here.

Round 1

Round 2

Round 3

Round 4

Round 5

Round 6

Round 7

Round 8

Round 9

Round 10

Round 11

Round 12

Round 13

Round 14

Round 15

Round 16

Round 17

Round 18

Round 19

Round 20

Round 21

Round 22

Round 23

Round 24

Round 25

Round 26

Round 27

Round 28

Round 29

Round 30

Quarter final

Semifinal

Final

Be sure to write in the comments how far you have progressed.