Problem
Given an integer array arr
of distinct integers and an integer k
.
A game will be played between the first two elements of the array (i.e. arr[0]
and arr[1]
). In each round of the game, we compare arr[0]
with arr[1]
, the larger integer wins and remains at position 0
, and the smaller integer moves to the end of the array. The game ends when an integer wins k
consecutive rounds.
Return the integer which will win the game.
It is guaranteed that there will be a winner of the game.
Example 1:
Input: arr = [2,1,3,5,4,6,7], k = 2
Output: 5
Explanation: Let's see the rounds of the game:
Round | arr | winner | win_count
1 | [2,1,3,5,4,6,7] | 2 | 1
2 | [2,3,5,4,6,7,1] | 3 | 1
3 | [3,5,4,6,7,1,2] | 5 | 1
4 | [5,4,6,7,1,2,3] | 5 | 2
So we can see that 4 rounds will be played and 5 is the winner because it wins 2 consecutive games.
Example 2:
Input: arr = [3,2,1], k = 10
Output: 3
Explanation: 3 will win the first 10 rounds consecutively.
Constraints:
2 <= arr.length <= 105
1 <= arr[i] <= 106
arr
contains distinct integers.1 <= k <= 109
Solution
/**
* @param {number[]} arr
* @param {number} k
* @return {number}
*/
var getWinner = function(arr, k) {
var maxIndex = 0;
for (var i = 1; i < arr.length; i++) {
if (arr[i] > arr[maxIndex]) maxIndex = i;
if (i - maxIndex + (maxIndex === 0 ? 0 : 1) === k) break;
}
return arr[maxIndex];
};
Explain:
We keep track of the maximum number index while iterating the array, in index i, the maximum number wined i - maxIndex + 1
times (or i - maxIndex
times if maxIndex
is zero)
Complexity:
- Time complexity : O(n).
- Space complexity : O(1).