Hi arjunnambiartc,

This DS question can be quickly solved by TESTing VALUES.

We're asked if U = W. This is a YES/NO question.

Fact 1: U = |W|

First off, this tell us that U CANNOT be negative....

IF....

W = 1

U = 1

The answer to the question is YES.

W = -1

U = 1

The answer to the question is NO.

Fact 1 is INSUFFICIENT

Fact 2: W = |U|

First off, this tells us that W CANNOT be negative...

IF....

U = 1

W = 1

The answer to the question is YES.

U = -1

W = 1

The answer to the question is NO.

Fact 2 is INSUFFICIENT

Combined, we know...

U = |W|

W = |U|

Neither U nor W can be negative....by extension, they MUST be the same....

IF...

U = 0

W = 0

The answer to the question is YES.

U = 1

W = 1

The answer to the question is YES.

Etc.

Combined, SUFFICIENT

Final Answer:

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Rich

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