- O(n²)
- Ω(n²)
- ϴ(n²)
"when finding upper-bound, it is OK to over-estimate the number of steps"
"when finding lower-bound, it is OK to under-estimate the number of steps".This two sentences are very useful in dealing with such kind of finding O problem, which should always be kept in our mind.
This problem and solution really make me learn a lot. If we want to make aconnection between two steps we could overestimate one and underestimate the other and choose a c that could reveal their relationship explicitly with <= or >=.

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