给你一个整数数组 arr ,请你删除最小 5% 的数字和最大 5% 的数字后,剩余数字的平均值。
与 标准答案 误差在 10-5 的结果都被视为正确结果。
示例 1:
输入: arr = [1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3]
输出: 2.00000
解释: 删除数组中最大和最小的元素后,所有元素都等于 2,所以平均值为 2 。
示例 2:
输入: arr = [6,2,7,5,1,2,0,3,10,2,5,0,5,5,0,8,7,6,8,0]
输出: 4.00000
示例 3:
输入: arr = [6,0,7,0,7,5,7,8,3,4,0,7,8,1,6,8,1,1,2,4,8,1,9,5,4,3,8,5,10,8,6,6,1,0,6,10,8,2,3,4]
输出: 4.77778
示例 4:
输入: arr = [9,7,8,7,7,8,4,4,6,8,8,7,6,8,8,9,2,6,0,0,1,10,8,6,3,3,5,1,10,9,0,7,10,0,10,4,1,10,6,9,3,6,0,0,2,7,0,6,7,2,9,7,7,3,0,1,6,1,10,3]
输出: 5.27778
示例 5:
输入: arr = [4,8,4,10,0,7,1,3,7,8,8,3,4,1,6,2,1,1,8,0,9,8,0,3,9,10,3,10,1,10,7,3,2,1,4,9,10,7,6,4,0,8,5,1,2,1,6,2,5,0,7,10,9,10,3,7,10,5,8,5,7,6,7,6,10,9,5,10,5,5,7,2,10,7,7,8,2,0,1,1]
输出: 5.29167
提示:
20 <= arr.length <= 1000arr.length是20的 倍数0 <= arr[i] <= 10^5
解题
/**
* @param {number[]} arr
* @return {number}
*/
var trimMean = function (arr) {
let len = arr.length;
let n = len / 20;
let min = [];
let sum = 0;
const find = (nums, num) => {
let left = 0;
let right = nums.length - 1;
while (left <= right) {
const mid = (left + right) >> 1;
if (nums[mid] === num) {
return mid;
} else if (nums[mid] < num) {
left = mid + 1;
} else {
right = mid - 1;
}
}
return left;
};
for (let i = 0; i < n; i++) {
sum += arr[i];
let idx = find(min, arr[i]);
min.splice(idx, 0, arr[i]);
}
let max = [...min];
for (let i = n; i < len; i++) {
sum += arr[i];
if (arr[i] < min.at(-1)) {
let idx = find(min, arr[i]);
min.splice(idx, 0, arr[i]);
min.pop();
}
if (arr[i] > max[0]) {
let idx = find(max, arr[i]);
max.splice(idx, 0, arr[i]);
max.shift();
}
}
for (let i = 0; i < n; i++) {
sum = sum - min[i] - max[i];
}
return sum / (len - 2 * n);
};