Bessie the cow was excited to recently return to in-person learning! Unfortunately, her instructor, Farmer John, is a very boring lecturer, and so she ends up falling asleep in class often.

Farmer John has noticed that Bessie has not been paying attention in class. He has asked another student in class, Elsie, to keep track of the number of times Bessie falls asleep in a given class. There are N class periods (1≤N≤10^5), and Elsie logs that Bessie fell asleep a_i times (0≤a_i≤10^6) in the i-th class period. The total number of times Bessie fell asleep across all class periods is at most 10^6.

Elsie, feeling very competitive with Bessie, wants to make Farmer John feel like Bessie is consistently falling asleep the same number of times in every class -- making it appear that the issue is entirely Bessie's fault, with no dependence on Farmer John's sometimes-boring lectures. The only way Elsie may modify the log is by combining two adjacent class periods. For example, if a=[1,2,3,4,5], then if Elsie combines the second and third class periods the log will become [1,5,4,5].

Help Elsie compute the minimum number of modifications to the log that she needs to make so that she can make all the numbers in the log equal.

#5332 upload 29 done 12 how_to_reg 11

Sleeping in Class timer 2s memory 256MB

#5332

Sleeping in Class 2s 256MB