Class Solution

java.lang.Object
g2601_2700.s2681_power_of_heroes.Solution

public class Solution extends java.lang.Object
2681 - Power of Heroes.

Hard

You are given a 0-indexed integer array nums representing the strength of some heroes. The power of a group of heroes is defined as follows:

  • Let i0, i1, … ,ik be the indices of the heroes in a group. Then, the power of this group is max(nums[i0], nums[i1], … ,nums[ik])2 * min(nums[i0], nums[i1], … ,nums[ik]).

Return the sum of the power of all non-empty groups of heroes possible. Since the sum could be very large, return it modulo 109 + 7.

Example 1:

Input: nums = [2,1,4]

Output: 141

Explanation:

1st group: [2] has power = 22 * 2 = 8.

2nd group: [1] has power = 12 * 1 = 1.

3rd group: [4] has power = 42 * 4 = 64.

4th group: [2,1] has power = 22 * 1 = 4.

5th group: [2,4] has power = 42 * 2 = 32.

6th group: [1,4] has power = 42 * 1 = 16.

7th group: [2,1,4] has power = 42 * 1 = 16.

The sum of powers of all groups is 8 + 1 + 64 + 4 + 32 + 16 + 16 = 141.

Example 2:

Input: nums = [1,1,1]

Output: 7

Explanation: A total of 7 groups are possible, and the power of each group will be 1. Therefore, the sum of the powers of all groups is 7.

Constraints:

  • 1 <= nums.length <= 105
  • 1 <= nums[i] <= 109
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    int
    sumOfPower(int[] nums)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • sumOfPower

      public int sumOfPower(int[] nums)