[LeetCode] 75. Sort Colors 颜色排序
Given an array with n objects colored red, white or blue, sort them in-place so that objects of the same color are adjacent, with the colors in the order red, white and blue.
Here, we will use the integers 0, 1, and 2 to represent the color red, white, and blue respectively.
Note: You are not suppose to use the library's sort function for this problem.
Example:
Input: [2,0,2,1,1,0]
Output: [0,0,1,1,2,2]
Follow up:
-
A rather straight forward solution is a two-pass algorithm using counting sort.
First, iterate the array counting number of 0's, 1's, and 2's, then overwrite array with total number of 0's, then 1's and followed by 2's. - Could you come up with a one-pass algorithm using only constant space?
这道题的本质还是一道排序的题,题目中给出提示说可以用计数排序,需要遍历数组两遍,那么先来看这种方法,因为数组中只有三个不同的元素,所以实现起来很容易。
- 首先遍历一遍原数组,分别记录 0,1,2 的个数。
- 然后更新原数组,按个数分别赋上 0,1,2。
解法一:
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class Solution {
public :
void sortColors(vector< int >& nums) {
vector< int > colors(3);
for ( int num : nums) ++colors[num];
for ( int i = 0, cur = 0; i < 3; ++i) {
for ( int j = 0; j < colors[i]; ++j) {
nums[cur++] = i;
}
}
}
};
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题目中还要让只遍历一次数组来求解,那么就需要用双指针来做,分别从原数组的首尾往中心移动。
- 定义 red 指针指向开头位置,blue 指针指向末尾位置。
- 从头开始遍历原数组,如果遇到0,则交换该值和 red 指针指向的值,并将 red 指针后移一位。若遇到2,则交换该值和 blue 指针指向的值,并将 blue 指针前移一位。若遇到1,则继续遍历。
解法二:
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class Solution {
public :
void sortColors(vector< int >& nums) {
int red = 0, blue = ( int )nums.size() - 1;
for ( int i = 0; i <= blue; ++i) {
if (nums[i] == 0) {
swap(nums[i], nums[red++]);
} else if (nums[i] == 2) {
swap(nums[i--], nums[blue--]);
}
}
}
};
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当然我们也可以使用 while 循环的方式来写,那么就需要一个变量 cur 来记录当前遍历到的位置,参见代码如下:
解法三:
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class Solution {
public :
void sortColors(vector< int >& nums) {
int left = 0, right = ( int )nums.size() - 1, cur = 0;
while (cur <= right) {
if (nums[cur] == 0) {
swap(nums[cur++], nums[left++]);
} else if (nums[cur] == 2) {
swap(nums[cur], nums[right--]);
} else {
++cur;
}
}
}
};
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原文链接:https://www.cnblogs.com/grandyang/p/4341243.html