Given a n x n matrix where each of the rows and columns are sorted in ascending order, find the kth smallest element in the matrix.
Note that it is the kth smallest element in the sorted order, not the kth distinct element.
Example:
matrix = [ [ 1, 5, 9], [10, 11, 13], [12, 13, 15]]
k = 8
return 13.
**Note: **You may assume k is always valid, 1 ≤ k ≤ n2
由于二維數(shù)組行和列都是有序的媒峡，所以左上角的元素是最小的售淡，右下角的元素是最大的蚂踊。
我們從這兩個元素開始进倍，使用二分法查找，取這兩個元素的中間值民珍，看看數(shù)組里有多少個元素小于等于它觅捆，如果少于k就在后半部分里找，如果多于k就從前半部分里找语淘。
var kthSmallest = function(matrix, k) {
var n = matrix.length;
var le = matrix[0][0], ri = matrix[n - 1][n - 1];
var mid = 0;
while (le < ri)
{
mid = parseInt(le + (ri-le)/2);
var num = 0;
for (var i = 0; i < n; i++)
{
var pos = 0;
for (var j = 0;j < n;j++) {
if (matrix[i][j]<=mid)
pos = j+1;
else
break;
}
num += pos;
}
if (num < k)
le = mid + 1;
else
ri = mid;
}
return le;
};
