Package g2501_2600.s2528_maximize_the_minimum_powered_city

Class Solution

java.lang.Object

g2501_2600.s2528_maximize_the_minimum_powered_city.Solution

public class Solution
extends Object

2528 - Maximize the Minimum Powered City.

Hard

You are given a 0-indexed integer array stations of length n, where stations[i] represents the number of power stations in the ith city.

Each power station can provide power to every city in a fixed range. In other words, if the range is denoted by r, then a power station at city i can provide power to all cities j such that |i - j| <= r and 0 <= i, j <= n - 1.

• Note that |x| denotes absolute value. For example, |7 - 5| = 2 and |3 - 10| = 7.

The power of a city is the total number of power stations it is being provided power from.

The government has sanctioned building k more power stations, each of which can be built in any city, and have the same range as the pre-existing ones.

Given the two integers r and k, return the maximum possible minimum power of a city, if the additional power stations are built optimally.

Note that you can build the k power stations in multiple cities.

Example 1:

Input: stations = [1,2,4,5,0], r = 1, k = 2

Output: 5

Explanation:

One of the optimal ways is to install both the power stations at city 1.

So stations will become [1,4,4,5,0].

• City 0 is provided by 1 + 4 = 5 power stations.

• City 1 is provided by 1 + 4 + 4 = 9 power stations.

• City 2 is provided by 4 + 4 + 5 = 13 power stations.

• City 3 is provided by 5 + 4 = 9 power stations.

• City 4 is provided by 5 + 0 = 5 power stations.

So the minimum power of a city is 5.

Since it is not possible to obtain a larger power, we return 5.

Example 2:

Input: stations = [4,4,4,4], r = 0, k = 3

Output: 4

Explanation: It can be proved that we cannot make the minimum power of a city greater than 4.

Constraints:

• n == stations.length
• 1 <= n <= 105
• 0 <= stations[i] <= 105
• 0 <= r <= n - 1
• 0 <= k <= 109

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
long	maxPower(int[] stations, int r, int k)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solution

public Solution()

Method Detail

maxPower

public long maxPower(int[] stations,
                     int r,
                     int k)