No.
03 - Maximum Sum of All Sub-arrays

A sub-array has one number of some continuous numbers. Given an integer array with positive numbers and negative numbers, get the maximum sum of all sub-arrays. Time complexity should be O(n).

A sub-array has one number of some continuous numbers. Given an integer array with positive numbers and negative numbers, get the maximum sum of all sub-arrays. Time complexity should be O(n).

For example, in the array {1, -2, 3, 10, -4, 7, 2,
-5}, its sub-array {3, 10, -4, 7, 2} has the
maximum sum 18.

Given an unsorted array, find the max length of subsequence in which the numbers
are in incremental order.

For example: If the input array is {7, 2, 3, 1, 5, 8, 9,
6}, a subsequence with the most numbers in incremental order is {2, 3, 5, 8, 9}
and the expected output is 5.

Implement a function which gets the edit distance of two input strings. There
are three types of edit operations: insertion, deletion and substitution. Edit
distance is the minimal number of edit operations to modify a string from one to
the other.

Please implement a function which gets the minimal number of coins, whose value
is v

_{1}, v_{2}, …, v_{n}, to make change for an amount of money with value t. Any coin with value v_{i}may duplicate for any times to make change.
For example, the minimal number of coins to make change for
15 out of a set of coins with value 1, 3, 9, 10 is 3. We can choose two coins
with value 3 and a coin with value 9. The number of coins for other choices
should be greater than 3.

There are

No. 49 - Longest Substring without Duplication

*n*houses built in a line, each of which contains some value in it. A thief is going to steal the maximal value in these houses, but he cannot steal in two adjacent houses because the owner of a stolen house will tell his two neighbors on the left and right side. What is the maximal stolen value?No. 49 - Longest Substring without Duplication

Given a string, please get the length of the longest substring which does not have duplicated characters. Supposing all characters in the string are in the range from ‘a’ to ‘z’.

No. 52 - Maximal Product when Cutting Rope

Given a rope with length

No. 52 - Maximal Product when Cutting Rope

Given a rope with length

*n*, how to cut the rope into*m*parts with length*n*[0],*n*[1], ...,*n*[*m*-1], in order to get the maximal product of*n*[0]**n*[1]* ... **n*[*m*-1]? We have to cut once at least. Additionally, the length of the whole length of the rope, as well as the length of each part, are in integer value.
A board has

*n***m*cells, and there is a gift with some value (value is greater than 0) in every cell. You can get gifts starting from the top-left cell, and move right or down in each step, and finally reach the cell at the bottom-right cell. What’s the maximal value of gifts you can get from the board?
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