| "task_description": "You are given an integer array `nums`. We consider an array **good **if it is a permutation of an array `base[n]`. `base[n] = [1, 2, ..., n - 1, n, n] `(in other words, it is an array of length `n + 1` which contains `1` to `n - 1 `exactly once, plus two occurrences of `n`). For example, `base[1] = [1, 1]` and` base[3] = [1, 2, 3, 3]`. Return `true` _if the given array is good, otherwise return__ _`false`. **Note: **A permutation of integers represents an arrangement of these numbers. **Example 1:** ``` **Input:** nums = [2, 1, 3] **Output:** false **Explanation:** Since the maximum element of the array is 3, the only candidate n for which this array could be a permutation of base[n], is n = 3. However, base[3] has four elements but array nums has three. Therefore, it can not be a permutation of base[3] = [1, 2, 3, 3]. So the answer is false. ``` **Example 2:** ``` **Input:** nums = [1, 3, 3, 2] **Output:** true **Explanation:** Since the maximum element of the array is 3, the only candidate n for which this array could be a permutation of base[n], is n = 3. It can be seen that nums is a permutation of base[3] = [1, 2, 3, 3] (by swapping the second and fourth elements in nums, we reach base[3]). Therefore, the answer is true. ``` **Example 3:** ``` **Input:** nums = [1, 1] **Output:** true **Explanation:** Since the maximum element of the array is 1, the only candidate n for which this array could be a permutation of base[n], is n = 1. It can be seen that nums is a permutation of base[1] = [1, 1]. Therefore, the answer is true. ``` **Example 4:** ``` **Input:** nums = [3, 4, 4, 1, 2, 1] **Output:** false **Explanation:** Since the maximum element of the array is 4, the only candidate n for which this array could be a permutation of base[n], is n = 4. However, base[4] has five elements but array nums has six. Therefore, it can not be a permutation of base[4] = [1, 2, 3, 4, 4]. So the answer is false. ``` **Constraints:** `1 <= nums.length <= 100` `1 <= num[i] <= 200`", |
