189_旋转数组

风扫地

/*
给定一个数组，将数组中的元素向右移动 k 个位置，其中 k 是非负数。
示例 1:
输入: [1,2,3,4,5,6,7] 和 k = 3
输出: [5,6,7,1,2,3,4]
解释:
向右旋转 1 步: [7,1,2,3,4,5,6]
向右旋转 2 步: [6,7,1,2,3,4,5]
向右旋转 3 步: [5,6,7,1,2,3,4]
示例 2:
输入: [-1,-100,3,99] 和 k = 2
输出: [3,99,-1,-100]
解释: 
向右旋转 1 步: [99,-1,-100,3]
向右旋转 2 步: [3,99,-1,-100]
说明:
尽可能想出更多的解决方案，至少有三种不同的方法可以解决这个问题。
要求使用空间复杂度为 O(1) 的原地算法。
*/

暴力法：

void rotate(int* nums, int numsSize, int k)
{
    int temp = 0;
    int j = 0;
    
    k = k % numsSize;
    while(k--)
    {
        temp = nums[numsSize-1];
        for(j = numsSize - 1; j > 0 ;j--)
        {
            nums[j] = nums[j-1];
        }
        nums[0] = temp;
    }
}

但很不幸，提交超时了。

/*
33 / 34 个通过测试用例


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,6,9,6,9,7,3,1,1,7,4,8,0,7,3,8,6,3,3,5,0,9,5,5,7,2,7,0,1,5,9,0,5,9,8,9,1,6,5,0,0,5,9,6,1,9,8,8,1,9,5,3,5,9,1,0,3,6,6,5,5,2,7,2,7,4,8,4,2,3,4,4,0,5,6,7,8,2,9,7,2,6,2,3,6,1,4,0,6,8,8,9,3,7,9,4,8,1,8,3,1,8,7,2,2,8,0,8,2,2,5,4,0,7,4,2,3,0,0,0,5,6,5,7,8,3,2,2,7,8,1,9,1,2,9,7,9,2,4,9,1,0,3,9,8,8,0,3,5,5,5,6,8,9,7,4,8,9,5,5,3,5,2,9,6,0,2,8,3,9,1,6,4,3,5,0,3,8,5,3,9,7,2,8,1,4,7,9,0,4,3,6,2,0,2,6,6,1,0,3,4,5,0,0,9,6,4,2,1,8,4,8,7,5,5,1,1,1,8,9,4,4,6,9,7,8,6,9,5,1,5,7,3,6,7,8,2,9,6,1,5,9,7,1,6,3,0,5,6,8,9,8,3,8,7,4,1,8,5,9,9,2,0,5,9,2,2,3,8,3,2,4,7,5,0,7,1,3,6,1,8,6,3,1,2,8,2,2,7,6,7,5,6,4,4,6,1,1,4,3,4,5,4,1,0,0,1,3,6,2,1,3,8,8,0,2,2,4,4,4,0,1,5,6,8,0,5,1,5,7,7,1,9,3,7,3,8,8,0,6,0,7,1,7,5,6,5,1,7,5,1,2,6,9,3,9,9,2,8,4,8,8,0,6,5,6,1,1,9,0,2,8,4,8,9,7,1,4,4,3,1,5,7,0,6,8,6,4,1,5,4,6,4,0,6,6,8,0,5,8,6,7,5,0,3,7,2,2,9,0,4,9,4,5,7,7,0,3,9,5,9,4,3,7,7,6,6,4,3,1,6,2,2,8,2,7,0,9,7,1,8,6,8,4,7,0,6,1,8,7,9,6,1,4,0,1,7,6,2,0,1,5,6,4,0,7,1,7,3,5,1,5,5,8,7,5,0,4,0,4,5,9,5,2,2,3,1,1,9,9,6,4,0,8,1,6,6,8,5,1,5,3,9,4,5,6,5,0,7,5,2,4,7,5,7,8,0,8,3,5,2,1,4,6,4,6,4,3,1,0,3,9,4,9,3,2,9,1,4,8,2,6,0,9,5,4,4,3,0,5,6,9,1,4,6,1,4,0,7,4,9,7,0,1,9,9,8,6,2,6,6,3,6,4,3,2,3,7,4,6,7,3,5,8,9,8,7,8,4,9,7,2,1,9,5,9,7,8,7,0,7,8,4,3,9,3,9,7,5,0,3,3,2,2,1,8,6,0,1,8,5,2,2,1,5,8,4,5,0,8,0,7,5,6,5,9,7,7,1,2,2,6,9,0,8,2,2,2,2,4,3,3,8,7,5,2,7,0,3,1,4,2,8,0,5,1,8,7,3,1,1,2,1,7,1,8,4,5,1,7,2,9,8,6,0,0,3,6,1,6,7,5,7,2,2,8,0,5,4,5,1,1,7,5,0,3,2,5,1,1,4,3,1,7,3,7,5,5,3,2,6,6,2,9,6,6,3,5,9,2,3,6,9,4,0,3,4,2,5,9,3,3,6,8,0,4,0,9,0,9,9,5,5,3,0,7,2,6,0,3,8,7,0,0,7,6,8,7,0,1,5,3,7,0,2,1,1,1,9,8,8,7,9,8,6,0,4,4,2,6,1,6,1,6,6,3,1,0,8,4,4,5,5,3,5,8,0,1,3,6,8,1,7,9,9,0,8,1,0,1,1,3,7,6,1,6,9,8,5,4,5,6,1,5,5,0,9,9,3,4,9,2,9,0,5,2,3,3,0,1,8,3,5,8,2,6,1,1,2,1,1,8,3,0,9,1,6,7,4,1,1,7,2,3,8,8,5,9,2,4,7,1,0,4,5,6,4,0,7,1,8,7,7,5,9,6,3,4,0,1,1,1,4,4,1,5,6,6,9,2,8,5,1,7,0,0,7,9,2,8,1,6,4,0,4,5,3,4,0,5,0,2,3,0,3,4,1,9,9,4,2,8,8,0,4,6,1,5,9,4,7,3,5,7,9,5,6,8,7,8,8,5,9,3,1,8,1,9,6,6,8,8,5,3,2,3,0,0,1,2,2,8,1,4,7,2,4,7,0,1,4,3,8,9,3,0,5,6,5,5,8,1,5,8,6,8,2,4,5,2,9,5,6,9,7,8,8,7,1,2,0,6,2,9,7,0,5,1,5,2,1,8,1,2,5,0,4,4,0,4,6,9,9,0,7,2,9,1,9,6,0,1,2,4,0,6,7,9,8,1,7,1,4,9,7,5,3,4,8,5,2,4,6,1,6,9,7,0,6,1,4,4,4,4,8,4,7,0,6,2,6,1,0,3,7,5,4,4,7,8,8,9,9,8,8,2,7,6,7,9,9,2,1,1,3,1,9,7,3,3,6,9,8,1,1,2,4,9,2,3,6,3,8,6,4,2,7,3,9,4,0,9,8,8,1,9,9,8,8,9,0,8,9,7,7,3,9,3,8,5,7,2,3,9,7,9,7,7,8,7,0,3,9,7,4,8,7,7,1,1,0,3,5,0,6,0,6,1,8,6,6,4,0,1,3,2,0,9,5,9,1,1,6,1,0,4,4,7,1,6,4,0,2,7,3,0,2,3,8,1,1,6,5,5,9,8,5,6,8,1,0,8,6,7,8,6,7,9,7,7,3,7,7,9,0,3,5,4,1,3,4,9,8,8,8,1,8,2,0,5,1,1,6,9,6,4,8,8,7,6,7,9,8,6,6,4,2,3,9,2,4,2,5,3,2,6,6,4,2,7,6,0,4,7,3,5,9,3,8,1,8,9,5,0,5,1,4,4,6,5,1,6,0,8,6,3,7,4,9,0,9,3,6,7,7,5,9,7,1,0,8,5,0,0,8,3,3,4,6,2,2,1,4,0,6,4,5,6,9,6,1,2,6,8,5,6,8,2,2,7,6,2,7,9,3,6,4,0,5,3,4,5,0,6,6,0,3,2,6,1,5,4,7,9,3,4,0,3,5,3,9,4,9,8,9,3,7,0,3,3,8,3,1,8,9,1,0,0,9,3,2,2,9,1,0,3,8,5,2,5,8,9,5,8,4,1,8,3,0,6,3,9,3,7,7,3,0,8,0,9,1,9,5,3,2,5,7,1,4,5,2,3,5,4,4,5,1,9,8,2,7,9,4,2,1,2,4,2,4,1,0,7,0,1,0,4,4,6,3,2,4,3,7,1,4,9,2,3,3,8,2,5,1,8,4,2,2,2,8,3,3,1,9,8,4,5,5,2,6,3,3,2,3,0,0,3,1,3,5,3,3,5,6,9,2,3,5,3,6,3,6,5,1,7,4,9,3,9,6,5,2,8,3,7,9,2,6,6,2,0,2,1,0,3,1,6,3,9,5,3,9,6,7,6,3,9,1,6,9,0,1,1,5,6,3,0,7,2,6,3,0,2,4,1,1,4,4,9,6,3,5,8,1,1,8,6,5,0,8,1,9,3,7,1,3,5,2,7,5,4,8,3,2,6,9,7,1,3,5,3,3,8,9,9,1,2,6,5,9,5,0,7,5,4,8,0,6,5,5,9,7,6,5,0,0,6,2,1,4,8,8,4,7,0,8,7,7,7,1,6,6,9,8,3,6,5,2,5,0,4,1,9,0,4,2,7,7,5,3,9,8,8,2,9,0,7,2,9,4,7,8,5,2,2,0,0,9,1,4,3,4,9,0,5,3,1,1,7,3,4,4,4,5,5,0,2,4,9,5,4,1,4,9,7,8,5,0,9,9,5,3,8,2,2,9,1,3,4,3,0,3,1,8,6,7,2,3,9,2,5,2,0,4,3,7,6,2,2,4,4,1,0,6,9,5,2,2,6,3,3,3,7,8,7,5,8,2,8,6,1,2,5,2,7,1,3,2,6,5,0,7,4,7,0,3,7,4,1,4,2,7,7,1,6,3,8,0,0,1,5,3,8,6,9,3,1,5,0,7,8,3,9,8,9,4,8,0,6,1,1,6,8,7,0,7,6,4,4,4,1,8,9,9,9,8,0,0,9,7,5,8,1,1,8,1,3,0,0,9,7,8,6,1,0,6,0,3,5,3,6,5,3,3,2,3,3,6,8,5,5,0,5,2,1,2,7,0,7,5,3,3,6,4,1,3,5,8,1,0,6,7,3,9,4,6,4,2,8,4,3,1,7,3,6,5,6,0,6,9,3,5,1,3,5,7,7,5,1,7,0,8,3,0,1,9,7,1,8,7,1,4,5,7,5,6,6,1,3,6,6,8,4,5,8,9,0,8,0,7,7,4,9,6,3,1,6,1,9,9,6,8,1,0,0,4,1,3,4,8,8,9,6,9,0,1,4,4,6,9,4,8,4,3,7,7,4,5,8,1,8,7,7,3,4,3,0,3,2,5,1,7,8,1,0,8,5,6,3,7,1,6,0,9,8,6,7,8,5,7,5,6,6,9,2,0,4,6,8,5,9,4,6,3,8,8,3,1,2,2,0,4,4,0,8,8,1,9,9,1,7,9,1,7,0,5,9,6,5,1,0,4,2,6,0,3,3,9,1,4,9,0,7,0,8,0,4,1,9,5,1,0,3,6,0,3,1,2,8,4,6,7,6,1,2,6,5,5,5,3,9,8,0,0,7,3,5,4,1,1,5,3,8,4,0,0,4,6,8,3,9,8,5,7,7,7,3,9,9,2,4,6,2,0,9,6,3,0,7,4,2,3,0,2,5,5,8,1,7,5,8,4,7,3,8,2,5,3,8,8,6,3,5,7,7,8,1,3,7,6,9,5,1,8,4,0,6,6,4,9,3,2,2,9,2,6,2,9,9,7,2,9,6,7,8,8,1,6,0,9,0,4,8,9,7,6,9,2,7,5,3,9,8,7,9,9,8,4,4,6,9,5,5,0,6,4,9,2,3,7,6,2,7,9,1,2,1,8,9,6,5,4,5,7,5,1,7,0,9,1,9,9,9,9,2,1,9,6,0,7,1,7,6,7,7,5,3,8,9,2,3,6,4,2,7,0,8,0,6,7,5,2,9,6,5,3,1,5,2,0,9,3,6,8,0,2,6,8,4,6,1,1,1,5,0,5,3,2,9,1,3,8,0,5,9,2,0,0,5,8,4,5,2,8,7,2,4,3,0,4,5,2,8,5,8,3,6,1,2,9,8,3,5,5,3,3,1,5,0,7,5,2,1,1,4,9,5,2,3,8,8,1,6,6,9,1,0,5,2,7,8,0,8,5,7,6,5,9,8,5,1,1,1,1,5,2,2,6,9,3,2,6,6,1,7,4,2,2,9,9,0,7,1,5,1,8,7,5,0,7,5,2,1,3,3,4,7,3,8,8,6,1,6,6,8,4,4,3,2,1,6,1,0,2,1,2,4,5,8,8,0,5,9,2,7,3,5,0,9,5,5,7,8,8,8,2,5,8,6,6,9,4,5,5,0,1,9,3,9,5,1,5,3,2,2,6,7,3,3,6,2,9,0,8,6,2,6,9,1,2,0,2]
11939

33 / 34 个通过测试用例
        状态：超出时间限制
        

*/

风扫地

改用翻转法
第一步：数组整体翻转
第二步：0～k-1翻转
第三步 : k-1~numsSzie-1翻转

/*
    reverse [left,right] in nums;
*/
void reverse(int* nums , int left , int right)
{
    int swap_times = (right - left + 1) / 2;
    int i          = 0;
    for(i = 0; i < swap_times ; i++)
    {
        //if((left+i)<(right-i)) /*主要是规避自己与自己交换等于时的异或陷阱,但swap_times已经可以确保,屏蔽此处减少判断*/
        //{
            nums[left+i]  = nums[left+i] ^ nums[right-i];
            nums[right-i] = nums[left+i] ^ nums[right-i];
            nums[left+i]  = nums[left+i] ^ nums[right-i];
        //}
        //else
        //{
        //    continue;
        //}
    }
}

void rotate(int* nums, int numsSize, int k)
{
    int temp = 0;
    int j = 0;
    k = k % numsSize;
    reverse(nums,0,numsSize-1);
    reverse(nums,0,k-1);
    reverse(nums,k,numsSize-1);
}

测试结果有明显改善。

/*
执行用时 : 24 ms, 在Rotate Array的C提交中击败了83.84% 的用户
内存消耗 : 9 MB, 在Rotate Array的C提交中击败了5.24% 的用户
34 / 34 个通过测试用例
状态：通过
执行用时：32 ms
提交时间：1 分钟之前
*/

风扫地

把异或交换改成利用中间变量交换，发现效率提高了，"异或交换"比中间值交换效率高这个事吧，遇到了不少反例，异或未必就真的高啊。
执行用时 : 20 ms, 在Rotate Array的C提交中击败了98.82% 的用户 内存消耗 : 9 MB, 在Rotate Array的C提交中击败了5.24% 的用户