Hi everyone ! Can anyone knows the expected number of elements p[i] with the following property in a permutation of size N ? Property: p[i-1] < p[i] > p[i+1] i.e., it is the local maxima in the permutation ? Note : Please do mention the mathematical proof if possible !

Hi everybody! With due respect & regards and a wish that everybody is doing great to everybody here , i want to know what the community of codeforces in the world thinks of the upcoming QF of UEFA champions league :) What are yours QF predictions of the following matches - --> PSG Vs Atalanta --> Atletico Vs Leipzig --> Barca Vs Bayern --> Man City Vs Lyon I would be highly grateful for your comments , Looking forward to it :) Have a Nice day ahead too :)