This is not about any technique of problem solving but i found it too inspiring, even that gives a message about \(\color{Red}{\text{taking}}\) \(\color{Red}{\text{up}}\) \(\color{Red}{\text{challenges}}\) , including \(\color{Red}{\text{solving}}\) \(\color{Red}{\text{various}}\) \(\color{Red}{ \text{problems}}\)....
See ! The two numbers just differ by 0.086 and see what happened to the results ! You efforts are like this only , adding little more everyday could make you from a very beginner to an expert....
, even a small amount of information, like the (cyclic mostly) in , or some in problems, some in and , simple things like in (yeah, that makes a huge difference if you consider wrong units)..... anything !
Everything is useful and small things make differences ! Don't miss anything when you work on a problem, especially the olympiad type !
Good luck Problem Solving....
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Good words of a person...
Exercise: Find what's wrong with this logic.
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Any number larger than 1 will increase when you raise it to a higher power and numbers ≤1 will not,so you could do this with 1.0000000001 and 0.999999999999 :)
Inspirational
true inspiration...!!!!
Yeah... You put the message very nicely decorated with a mathematical proof.
Just because it is possible for a small thing to make a huge difference doesn't mean that it is likely. There are far more small things than huge differences for them to make.