Returning a Row for Each Grouped Section Based on the Max Value of a Column

Question

I'm trying to run a query to give me the rows that contain the highest 'PRICE COUNT' for each 'YEAR'. This row will contain the 'YEAR', 'ITEM', and 'PRICE' columns.

I've spent some time on this and have hit a wall, even after looking through numerous results on Stack Overflow. I have a query that has come close to what I'm looking for but I'm having trouble figuring out how to return the 'PRICE' column that coincides with the highest value 'PRICE COUNT' column for each 'YEAR', when grouped by 'YEAR', 'ITEM NUMBER', AND 'PRICE'. Below is my query to get me to this point.

SELECT 
    YEAR(IH.ORDER_DATE) AS 'YEAR',
    IL.ITEM_NUMBER AS 'ITEM',
    IL.PRICE AS 'PRICE',
    COUNT(IL.PRICE) AS 'PRICE COUNT'
FROM
    INVENTORY_LINES IL
INNER JOIN 
    INVENTORY_HEADER IH ON IL.DOC_NUM = IH.DOC_NUM 
WHERE 
    IL.ITEM_NUMBER = 'WIDGET' 
    AND IL.PRICE > 0 
    AND IL.AMT_SHIPPED > 0
GROUP BY 
    YEAR(IH.ORDER_DATE), IL.ITEM_NUMBER, IL.PRICE
ORDER BY 
    YEAR(IH.ORDER_DATE) ASC, COUNT(IL.PRICE)

Here is the result (The 'PRICE COUNT' column is left in to help better illustrate my point, I don't want it included in the final result):

Current Result

The rows in the red rectangles are what I want to return instead of all records. The final result would look like this:

Final Result

Thank you in advance.

EDIT: Zero's answer solved my issue. Thanks Zero, I have accepted your answer.

EDIT 2: Duplicate YEAR data example, look at year 2014.

Example Image

Answer 1

As per the given query, you final query will be something like this.

WITH inter_table (year_of_order, item_number, price, price_count) AS (
SELECT 
    YEAR(IH.ORDER_DATE) AS year_of_order,
    MAX(IL.ITEM_NUMBER) AS item_number,
    IL.PRICE AS price,
    COUNT(IL.PRICE) AS price_count
FROM
    INVENTORY_LINES IL
INNER JOIN INVENTORY_HEADER IH ON IL.DOC_NUM = IH.DOC_NUM 
WHERE IL.ITEM_NUMBER = 'WIDGET' AND IL.PRICE > 0 AND IL.AMT_SHIPPED > 0
GROUP BY YEAR(IH.ORDER_DATE), IL.PRICE
)

SELECT
    i1.*
FROM
    inter_table i1
INNER JOIN
    (
        SELECT
            year_of_order, MAX(price_count) as price_count
        FROM
            inter_table
        GROUP BY
            year_of_order
    ) i2
ON i1.year_of_order = i2.year_of_order AND i1.price_count = i2.price_count;