Consider the wildcard symbol which we only use to indicate zero-or-more arbitrary symbols. For example, the pattern "hello world" matches "helloworld" (the wildcard interpreted as zero symbols), "hello world" (the wildcard interpreted as the whitespace symbol), and "hello beautifull world" (the wildcard interpreted as the string" beautifull "). P3.1. Write an algorithm that, given a source string S and pattern P, returns the first offset in S at which pattern P begins (if there is such an offset, otherwise return "not found"). Your algorithm should run in -ISI. P3.2. Explain why your algorithm is correct and runs in -IS].