Custom List Operations

You are given a number of operations to perform on a custom list of integers. This list supports the following operations:

• insert x: Insert the integer \(x\) at the end of the list.
• remove i: Remove the element at index \(i\) (0-indexed). If the index is out of bounds, do nothing.
• multiply m: Multiply every element in the list by the integer \(m\). That is, each element \(a_i\) becomes \(m \times a_i\).
• sum: Output the sum of all elements in the list. The sum is defined as \(\sum_{i=1}^{n} a_i\), and if the list is empty, the sum is 0.

You need to process a sequence of operations on the list. For every sum operation, output the current sum on a separate line.

Note: The list is initially empty.

inputFormat

The first line contains an integer \(Q\) representing the number of operations. Each of the following \(Q\) lines contains one of the commands:

• insert x — where \(x\) is an integer.
• remove i — where \(i\) is the 0-indexed position to remove.
• multiply m — where \(m\) is an integer multiplier.
• sum — output the sum of all elements in the list.

outputFormat

For each sum operation encountered in the input, print the resulting sum on a new line.

## sample

4
insert 1
insert 2
insert 3
sum

6

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