Consider a sequence of 1's and 1's with the property that the sum of any prefix of the sequence is never negative For example the sequence 1 1 1 1 satisfies this property but 1 1 1 1 does not since the prefix 1 1 1 0 Describe any relationship between such a sequence and a Stack push x and pop operations

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Explanation:

Answer: Solution: Algorithm:

Step 1: Start.

Step 2: Create a stack Step

3: Push an initial stack variable, it will represent that, stack is empty.

Step 4: Get input

If + 1 then push "+1"

Else if - 1 then pop

Step 5: Repeat until all input finish or Stop if empty stack variable popped. Step 6: Stop.

It is a pushdown automata problem.

It can be also represented as:

X = 1+1 * - 1 * 1No (+1) > = No (-1) }