1429. First Unique Number π
Description
You have a queue of integers, you need to retrieve the first unique integer in the queue.
Implement the FirstUnique class:
FirstUnique(int[] nums)Initializes the object with the numbers in the queue.int showFirstUnique()returns the value of the first unique integer of the queue, and returns -1 if there is no such integer.void add(int value)insert value to the queue.
Example 1:
Input: ["FirstUnique","showFirstUnique","add","showFirstUnique","add","showFirstUnique","add","showFirstUnique"] [[[2,3,5]],[],[5],[],[2],[],[3],[]] Output: [null,2,null,2,null,3,null,-1] Explanation: FirstUnique firstUnique = new FirstUnique([2,3,5]); firstUnique.showFirstUnique(); // return 2 firstUnique.add(5); // the queue is now [2,3,5,5] firstUnique.showFirstUnique(); // return 2 firstUnique.add(2); // the queue is now [2,3,5,5,2] firstUnique.showFirstUnique(); // return 3 firstUnique.add(3); // the queue is now [2,3,5,5,2,3] firstUnique.showFirstUnique(); // return -1
Example 2:
Input: ["FirstUnique","showFirstUnique","add","add","add","add","add","showFirstUnique"] [[[7,7,7,7,7,7]],[],[7],[3],[3],[7],[17],[]] Output: [null,-1,null,null,null,null,null,17] Explanation: FirstUnique firstUnique = new FirstUnique([7,7,7,7,7,7]); firstUnique.showFirstUnique(); // return -1 firstUnique.add(7); // the queue is now [7,7,7,7,7,7,7] firstUnique.add(3); // the queue is now [7,7,7,7,7,7,7,3] firstUnique.add(3); // the queue is now [7,7,7,7,7,7,7,3,3] firstUnique.add(7); // the queue is now [7,7,7,7,7,7,7,3,3,7] firstUnique.add(17); // the queue is now [7,7,7,7,7,7,7,3,3,7,17] firstUnique.showFirstUnique(); // return 17
Example 3:
Input: ["FirstUnique","showFirstUnique","add","showFirstUnique"] [[[809]],[],[809],[]] Output: [null,809,null,-1] Explanation: FirstUnique firstUnique = new FirstUnique([809]); firstUnique.showFirstUnique(); // return 809 firstUnique.add(809); // the queue is now [809,809] firstUnique.showFirstUnique(); // return -1
Constraints:
1 <= nums.length <= 10^51 <= nums[i] <= 10^81 <= value <= 10^8- At most
50000calls will be made toshowFirstUniqueandadd.
Solutions
Solution 1
Thinking
After many adds we must report the oldest value that still occurs once. A counter alone loses order; a queue alone cannot delete a value that just became duplicate.
Count frequencies and keep current uniques in an OrderedDict. On add, insert when the count becomes \(1\) and erase when it becomes \(2\). showFirstUnique returns the first remaining key.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | |
Solution 2
Thinking
Method 1 deletes from the ordered map as soon as a value repeats. We can instead append to a deque and, on query, pop front elements whose count is no longer one. Lazy deletion keeps the same answer with less bookkeeping.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | |