Give an O(n lg n)-time algorithm to find the longest monotonically increasing subsequence of a sequence of n numbers. (Hint: Observe that the last element of a candidate subsequence of length i is at least as large as the last element of a candidate subsequence of length i - 1. Maintain candidate subsequences by linking them through the input sequence.)

Allison and her group have completed the data entry for their spreadsheet project. they are in the process of formatting the data to make it easier to read and understand. the title is located in cell a5. the group has decided to merge cells a3: a7 to attempt to center the title over the data. after the merge, allison points out that it is not centered and looks bad. where would the title appear if allison unmerged the cells in an attempt to fix the title problem?

How are we able to create photographs differently than 100 years ago? explain your answer in relation to your photograph you selected.

Match the categories in the first column with examples in the second column. 1. good for watching movies 2. maximum power with small size 3. older style mobile devices that may or may not have internet connectivity tablet computer a.)pda b.)smart phone c.)tablet computer