Initially we are given the sequence 1,2,...,100. Every minute we erase any two numbers u and v
and replace them with the value uv+u+v. Clearly we will be left with just one number after 99
minutes. Does this number depend on the choices that we made.
Solution
clearly it is depending on the choices that we made for example assume that i
selected 1 and 2 then i have to replace with value 1*2+1+2 = 5 but if i select 2 and 3 then
2*3+2+3 = 11 so if 2 is with different numbers resulting in different values. thus.we conclude
that final number depends on the choices that we made.
Initially we are given the sequence 1,2,...,100. Every minute we era.pdf
1. Initially we are given the sequence 1,2,...,100. Every minute we erase any two numbers u and v
and replace them with the value uv+u+v. Clearly we will be left with just one number after 99
minutes. Does this number depend on the choices that we made.
Solution
clearly it is depending on the choices that we made for example assume that i
selected 1 and 2 then i have to replace with value 1*2+1+2 = 5 but if i select 2 and 3 then
2*3+2+3 = 11 so if 2 is with different numbers resulting in different values. thus.we conclude
that final number depends on the choices that we made
