LeetCode Queue Reconstruction by Height
Suppose you have a random list of people standing in a queue. Each person is described by a pair of integers (h, k)
, where h
is the height of the person and k
is the number of people in front of this person who have a height greater than or equal to h
. Write an algorithm to reconstruct the queue.
Note:
The number of people is less than 1,100.
Example
Input: [[7,0], [4,4], [7,1], [5,0], [6,1], [5,2]] Output: [[5,0], [7,0], [5,2], [6,1], [4,4], [7,1]]
本题给了一个存储pair的数组,每个pair是一个(h,k)对,表示身高为h的人,其前面有k个身高大于等于h的人。现在要对这个数组重新排序,使得所有pair都满足其自己的(h,k)约束。 网上有一种很巧妙的方法,先对数组排序,排序规则是h大的在前,如果h相等,则k小的在前。然后新建一个数组,把每个pair插入到下标k的位置。 我们来举个例子,比如样例数据,先按上述规则排序之后变成了: [7,0], [7,1], [6,1], [5,0], [5,2], [4,4] 上述排序规则基于这样一个事实:h越小的,其前面比h大的数越多,越有可能满足其k约束;h相同时,肯定是k小的排前面,因为相同的h对k是有贡献的。 然后新建一个空的数组,不断把上述排好序的元素插入空数组中。
- [7,0]插入第0个位置,数组为[7,0]
- [7,1]插入第1个位置,数组为[7,0], [7,1]
- [6,1]插入第1个位置,数组为[7,0], [6,1], [7,1]
- [5,0]插入第0个位置,数组为[5,0], [7,0], [6,1], [7,1]
- [5,2]插入第2个位置,数组为[5,0], [7,0], [5,2], [6,1], [7,1]
- [4,4]插入第4个位置,数组为[5,0], [7,0], [5,2], [6,1], [4,4], [7,1]