package com.hzins.suanfa;
/**
* 累加和小于或等于定值得最长子数组的长度
* @author Administrator
*
*/
public class Demo1 {
public static int maxLength(int[] arr, int k){
int[] h = new int[arr.length + 1];
int sum = 0;
h[0] = sum;
for(int i = 0;i !=arr.length;i ++){
sum +=arr[i];
h[i + 1] = h[i] + Math.max(sum, h[i]);
}
sum = 0;
int res= 0;
int pre= 0;
int len = 0;
for(int i = 0;i != arr.length;i++){
sum +=arr[i];
pre = getLessIndex(h, sum - k);
len = pre == -1 ? 0 : i - pre + 1;
res = Math.max(res, len);
}
return res;
}
/**
* 在【】h中第一个大于等于i的数的位置
* @param h
* @param i
* @return
*/
private static int getLessIndex(int[] h, int i) {
int left = 0;
int right = h.length - 1;
int mid = 0;
int res = -1;
while(left <= right){
mid = (left + right) / 2;
if(h[mid] >= i){
right = mid - 1;
res = mid;
}else{
left = mid + 1;
}
}
return res;
}
public static void main(String[] args) {
int[] array = {1,-2,3,-4,5,6,-6,7,-7,8};
System.out.println(maxLength(array, -1));
}
}