Write SQL query to solve given problem: How long has the NHL player been playing during the year when he recorded the least number of times being on the ice when a goal is scored for the team versus against the team? Indicate his full name.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT DISTINCT T3.firstNHL - T1.year, T3.nameGiven , T3.firstName, T3.lastName FROM Scoring AS T1 INNER JOIN Teams AS T2 ON T2.tmID = T1.tmID INNER JOIN Master AS T3 ON T1.playerID = T3.playerID GROUP BY T3.firstName, T3.lastName, T3.nameGiven, T3.firstNHL - T1.year, T3.firstName, T3.lastName ORDER BY SUM(T1.`+/-`) ASC LIMIT 1