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g2801_2900.s2860_happy_students.readme.md Maven / Gradle / Ivy

2860\. Happy Students

Medium

You are given a **0-indexed** integer array `nums` of length `n` where `n` is the total number of students in the class. The class teacher tries to select a group of students so that all the students remain happy.

The ith student will become happy if one of these two conditions is met:

*   The student is selected and the total number of selected students is **strictly greater than** `nums[i]`.
*   The student is not selected and the total number of selected students is **strictly** **less than** `nums[i]`.

Return _the number of ways to select a group of students so that everyone remains happy._

**Example 1:**

**Input:** nums = [1,1]

**Output:** 2

**Explanation:** 

The two possible ways are: 

The class teacher selects no student. 

The class teacher selects both students to form the group. 

If the class teacher selects just one student to form a group then the both students will not be happy. 

Therefore, there are only two possible ways.

**Example 2:**

**Input:** nums = [6,0,3,3,6,7,2,7]

**Output:** 3

**Explanation:** 

The three possible ways are: 

The class teacher selects the student with index = 1 to form the group. 

The class teacher selects the students with index = 1, 2, 3, 6 to form the group. 

The class teacher selects all the students to form the group.

**Constraints:**

*   1 <= nums.length <= 105
*   `0 <= nums[i] < nums.length`