HBC52818DragonBallIRolling Variance题解

一沫阳光 算法基础篇 26 0
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and he would like to find the *variance* of each consecutive subsequences of length m.

Bobo learnt that the *variance* of a sequence a_1, a_2, dots, a_n a 1 ​ ,a 2 ​ ,…,a n ​ is sqrt{frac{sum_{i = 1}^n (a_i - bar{a})^2}{n - 1}} n−1 ∑ i=1 n ​ (a i ​ − a ˉ ) 2 ​ ​ where bar{a} = frac{sum_{i = 1}^n a_i}{n}. a ˉ = n ∑ i=1 n ​ a i ​ ​ . Bobo has a sequence a_1, a_2, dots, a_n a 1 ​ ,a 2 ​ ,…,a n ​ , and he would like to find the *variance* of each consecutive subsequences of length m. Formally, the i-th ( 1 leq i leq n - m + 1 1≤i≤n−m+1) rolling variance r_i r i ​ is the *variance* of sequence {a_i, a_{i + 1}, dots, a_{i + m - 1}} {a i ​ ,a i+1 ​ ,…,a i+m−1 ​ }.

HBC52818DragonBallIRolling Variance题解
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