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LeetCode908 Smallest Range I(最小差值 I)JAVA實現

Given an array A of integers, for each integer A[i] we may choose any x with -K <= x <= K, and add x to A[i].

After this process, we have some array B.

Return the smallest possible difference between the maximum value of B and the minimum value of B.

Example 1:

Input: A = [1], K = 0
Output: 
0 Explanation: B = [1]

Example 2:

Input: A = [0,10], K = 2
Output: 6
Explanation: B = [2,8]

Example 3:

Input: A = [1,3,6], K = 3
Output: 0
Explanation: B = [3,3,3] or B = [4,4,4]

Note:

  1. 1 <= A.length <= 10000
  2. 0 <= A[i] <= 10000
  3. 0 <= K <= 10000

給定一個整數陣列 A,對於每個整數 A[i],我們可以選擇任意 x 滿足 -K <= x <= K

,並將 x 加到 A[i] 中。

在此過程之後,我們得到一些陣列 B

返回 B 的最大值和 B 的最小值之間可能存在的最小差值。

示例 1:

輸入:A = [1], K = 0
輸出:0
解釋:B = [1]

示例 2:

輸入:A = [0,10], K = 2
輸出:6
解釋:B = [2,8]

示例 3:

輸入:A = [1,3,6], K = 3
輸出:0
解釋:B = [3,3,3] 或 B = [4,4,4]

提示:

  1. 1 <= A.length <= 10000
  2. 0 <= A[i] <= 10000
  3. 0 <= K <= 10000

解題思路:找出陣列A中的最大值max和最小值min,如果max和min的差值小於2K,那麼說明max和min可以化為相同的值,返回0.否則max-2和min+2,即返回max-min-2K。

JAVA實現程式碼:

class Solution {
    public int smallestRangeI(int[] A, int K) {
        if(A.length==1)//A的陣列大小為1直接返回
            return 0;
        int min=A[0],max=A[0];//記錄最大值  最小值
        for(int i=1;i<A.length;i++)
        {
            if(A[i]>max)
                max=A[i];
            else if(A[i]<min)
                min=A[i];
        }
        if((max-min)<=2*K)
            return 0;
        return max-min-2*K;
    }
}