Google acquired ITA a while ago. Most of the brain used by Google Flights comes from ITA and thus no doubt its pretty good at what it does. You can use the "google flight functionality" to easily narrow down to your desired flights by using few of the techniques below:
The search itself is very easy to use if you understand how to use it. Below are some sample example search to get you going.
San Jose City to New York City Round trip for 4 days length of stay:
As you can see from below snapshots, entering the source/destination and initial set of dates and by clicking in the "date field" will show prices for various dates in the given month. You can then use the "right arrows" to look up the prices for various months as well as you can change the date range on the bottom with "+/- 0 days" to add flexibility to 4 days of stay.
San Jose City to XXX destination for 4 days of stay:
You can enter the "Source" and the length of stay and Click on the Map to see what are the possible "destinations" which could fit your price range. In fact you do not have to restrict yourself to the U.S.A but you could select any region where you might want to visit.
Los Angeles to Tel Aviv (TLV) or Rome (FCO) with default 4 days and +/- 2 days of stay:
You could also search for multiple destinations by specifying the airport names separated by comma and thus browse through "days range" where the fare would be cheaper. As you can see from below the fare could vary from range of $1600 to almost half at $821.
Search for Specific "Alliance" such as One-World or any airlines:
You could even narrow down the search based on the alliance or airlines you would like to fly from the available ones. Sure this might be more costlier then the cheapest option available, but a preferred one for you.
As you can see from above the Google Flights could be quite useful in your search for that flight. It could also help you narrow down to the specific destination, dates or airlines and thus make your travel fit your budget or time constraints.
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