package cn.tiger.funny;
/**
* 最长湍流子数组
* @author jyuan
*
当 A 的子数组 A[i], A[i+1], ..., A[j] 满足下列条件时,我们称其为湍流子数组:
若 i <= k < j,当 k 为奇数时, A[k] > A[k+1],且当 k 为偶数时,A[k] < A[k+1];
或 若 i <= k < j,当 k 为偶数时,A[k] > A[k+1] ,且当 k 为奇数时, A[k] < A[k+1]。
也就是说,如果比较符号在子数组中的每个相邻元素对之间翻转,则该子数组是湍流子数组。
返回 A 的最大湍流子数组的长度。
示例 1:
输入:[9,4,2,10,7,8,8,1,9]
输出:5
解释:(A[1] > A[2] < A[3] > A[4] < A[5])
示例 2:
输入:[4,8,12,16]
输出:2
示例 3:
输入:[100]
输出:1
提示:
1 <= A.length <= 40000
0 <= A[i] <= 10^9
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/longest-turbulent-subarray
著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。
*/
public class MaxTurbulenceSize {
int state = 0;
//如果是1,则当前是增加
//如果是-1,则当前是递减
//如果是01,则当前是==
public int maxTurbulenceSize(int[] arr) {
//动态规划显示每个数字对应的最大湍流子数组的长度
int[] mark = new int[arr.length];
for (int i = 0; i < arr.length; i++) {
if(i == 0) {
mark[i] = 1;
continue;
}
if(state == 0) {
if(arr[i] > arr[i-1]) {
state = 1;
mark[i] = 2;
} else if (arr[i] < arr[i-1]){
state = -1;
mark[i] = 2;
} else {
state = 0;
mark[i] = 1;
}
} else if (state == 1){
if(arr[i] > arr[i-1]) {
state = 1;
mark[i] = 2;
} else if (arr[i] < arr[i-1]){
state = -1;
mark[i] = mark[i-1]+1;
} else {
state = 0;
mark[i] = 1;
}
} else {
if(arr[i] > arr[i-1]) {
state = 1;
mark[i] = mark[i-1]+1;
} else if (arr[i] < arr[i-1]){
state = -1;
mark[i] = 2;
} else {
state = 0;
mark[i] = 1;
}
}
}
int max =0;
for (int i = 0; i < mark.length; i++) {
max = mark[i] > max? mark[i]:max;
}
return max;
}
public static void main(String[] args) {
MaxTurbulenceSize m = new MaxTurbulenceSize();
int[] aaa = {9,4,2,10,7,8,8,1,9};
System.out.println(m.maxTurbulenceSize(aaa));
}
}
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