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The trick to be used is called Prefix Sum approach.
The prefix sum array is an array where each element is the sum of all the elements before it in the original array. For example, if the original array is [1, 2, 3, 4, 5], the prefix sum array would be [1, 3, 6, 10, 15].
The prefix sum array approach is used to efficiently apply all the operations to the array and find the maximum value.
Instead of directly adding k to all elements in the range [a, b] for each operation, the function only updates the boundaries of the range in the array. After all operations have been performed, the function calculates the prefix sum of the array, which effectively applies all the operations to the array.
While calculating the prefix sum, the function also keeps track of the maximum value, which is the maximum value in the array after all operations have been performed.
The advantage of this approach is that it reduces the time complexity from O(n*m) to O(n+m), where n is the size of the array and m is the number of operations. This is because each operation is performed in constant time, regardless of the range it covers.
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Array Manipulation
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The trick to be used is called Prefix Sum approach.
The prefix sum array is an array where each element is the sum of all the elements before it in the original array. For example, if the original array is [1, 2, 3, 4, 5], the prefix sum array would be [1, 3, 6, 10, 15].
The prefix sum array approach is used to efficiently apply all the operations to the array and find the maximum value.
Instead of directly adding k to all elements in the range [a, b] for each operation, the function only updates the boundaries of the range in the array. After all operations have been performed, the function calculates the prefix sum of the array, which effectively applies all the operations to the array.
While calculating the prefix sum, the function also keeps track of the maximum value, which is the maximum value in the array after all operations have been performed.
The advantage of this approach is that it reduces the time complexity from O(n*m) to O(n+m), where n is the size of the array and m is the number of operations. This is because each operation is performed in constant time, regardless of the range it covers.