15. The client device of claim 14 , wherein: the search results page includes a second query input field; and the fourth instructions cause the client device to: compare query characters input in the second query input field to the query suggestions stored in the suggestion store; select query suggestions that match the query characters input in the second query input field based on the comparison; and display the selected query suggestions as query suggestions for the query characters input into the second query input field.
16. The client device of claim 15 , wherein: the initial query suggestions and the additional query suggestions are provided in the form of key value pairs, the key value pairs being pairs of query input sequences and query suggestions having initial query characters that match the query input sequences; and the second instructions and the fourth instructions cause the client device to provide the query characters input in the first query input field and second query input field, respectively, to search service as a query suggestion request only in response to determining that the query characters input in the first query input field or the second query input field, respectively, do not match any of the query input sequences of the key value pairs.