Update apply-operations-to-maximize-score.py

kamyu104 · web-flow · commit 892066fbf604 · 2023-10-08T19:09:31.000+08:00
diff --git a/Python/apply-operations-to-maximize-score.py b/Python/apply-operations-to-maximize-score.py
@@ -1,4 +1,4 @@
-# Time:  O(sqrt(r) + nlogr + klogn)
+# Time:  O(sqrt(r) + n * (logr + pi(sqrt(r))) + klogn) = O(sqrt(r) + n * (logr + sqrt(r)/log(sqrt(r))) + klogn), m is max(k for _, k in queries), pi(n) = number of primes in a range [1, n] = O(n/logn) by prime number theorem, see https://en.wikipedia.org/wiki/Prime_number_theorem
 # Space: O(sqrt(r) + n)
 
 import heapq

Original file line number	Diff line number	Diff line change
`@@ -1,4 +1,4 @@`
`1`		`-# Time: O(sqrt(r) + nlogr + klogn)`
	`1`	`+# Time: O(sqrt(r) + n * (logr + pi(sqrt(r))) + klogn) = O(sqrt(r) + n * (logr + sqrt(r)/log(sqrt(r))) + klogn), m is max(k for _, k in queries), pi(n) = number of primes in a range [1, n] = O(n/logn) by prime number theorem, see https://en.wikipedia.org/wiki/Prime_number_theorem`
`2`	`2`	`# Space: O(sqrt(r) + n)`
`3`	`3`
`4`	`4`	`import heapq`