Starting with a 1-indexed array of zeros and a list of operations, for each operation add a value to each array element between two given indices, inclusive. Once all operations have been performed, return the maximum value in the array.
Example
Queries are interpreted as follows:
a b k
1 5 3
4 8 7
6 9 1
Add the values of between the indices and inclusive:
The largest value is after all operations are performed.
Function Description
Complete the function with the following parameters:
- : the number of elements in the array
- : a two dimensional array of queries where each contains three integers, , , and .
Returns
- : the maximum value in the resultant array
Input Format
The first line contains two space-separated integers and , the size of the array and the number of queries.
Each of the next lines contains three space-separated integers , and , the left index, right index and number to add.
Constraints
Sample Input
STDIN Function
----- --------
5 3 arr[] size n = 5, queries[] size q = 3
1 2 100 queries = [[1, 2, 100], [2, 5, 100], [3, 4, 100]]
2 5 100
3 4 100
Sample Output
200
Explanation
After the first update the list is 100 100 0 0 0.
After the second update list is 100 200 100 100 100.
After the third update list is 100 200 200 200 100.
The maximum value is .