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[技术交流] 189_旋转数组

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发表于 2019-5-27 10:56:37 | 显示全部楼层 |阅读模式

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/*
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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]
11939

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

*/
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 楼主| 发表于 2019-5-27 10:58:39 | 显示全部楼层
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
*/
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 楼主| 发表于 2019-5-27 11:34:11 | 显示全部楼层
本帖最后由 风扫地 于 2019-5-27 11:36 编辑

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
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