1403. Minimum Subsequence in Non-Increasing Order Easy

@problem@discussion
#Array#Greedy#Sorting



1/**
2 * [1403] Minimum Subsequence in Non-Increasing Order
3 *
4 * Given the array nums, obtain a subsequence of the array whose sum of elements is strictly greater than the sum of the non included elements in such subsequence. 
5 * If there are multiple solutions, return the subsequence with minimum size and if there still exist multiple solutions, return the subsequence with the maximum total sum of all its elements. A subsequence of an array can be obtained by erasing some (possibly zero) elements from the array. 
6 * Note that the solution with the given constraints is guaranteed to be unique. Also return the answer sorted in non-increasing order.
7 *  
8 * Example 1:
9 * 
10 * Input: nums = [4,3,10,9,8]
11 * Output: [10,9] 
12 * Explanation: The subsequences [10,9] and [10,8] are minimal such that the sum of their elements is strictly greater than the sum of elements not included. However, the subsequence [10,9] has the maximum total sum of its elements. 
13 * 
14 * Example 2:
15 * 
16 * Input: nums = [4,4,7,6,7]
17 * Output: [7,7,6] 
18 * Explanation: The subsequence [7,7] has the sum of its elements equal to 14 which is not strictly greater than the sum of elements not included (14 = 4 + 4 + 6). Therefore, the subsequence [7,6,7] is the minimal satisfying the conditions. Note the subsequence has to be returned in non-decreasing order.  
19 * 
20 *  
21 * Constraints:
22 * 
23 * 	1 <= nums.length <= 500
24 * 	1 <= nums[i] <= 100
25 * 
26 */
27pub struct Solution {}
28
29// problem: https://leetcode.com/problems/minimum-subsequence-in-non-increasing-order/
30// discuss: https://leetcode.com/problems/minimum-subsequence-in-non-increasing-order/discuss/?currentPage=1&orderBy=most_votes&query=
31
32// submission codes start here
33
34impl Solution {
35    pub fn min_subsequence(nums: Vec<i32>) -> Vec<i32> {
36        vec![]
37    }
38}
39
40// submission codes end
41
42#[cfg(test)]
43mod tests {
44    use super::*;
45
46    #[test]
47    fn test_1403() {
48    }
49}
50


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