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| 1 | +package code; |
| 2 | + |
| 3 | +import java.util.Arrays; |
| 4 | + |
| 5 | +/* |
| 6 | + * 493. Reverse Pairs |
| 7 | + * 题意:逆序对 |
| 8 | + * 难度:Hard |
| 9 | + * 分类: |
| 10 | + * 思路:归并排序的思路 或者 树相关的数据结构 |
| 11 | + * 排序前先count |
| 12 | + * 负数怎么解决? 不用考虑,因为排序前先count |
| 13 | + * Tips: |
| 14 | + */ |
| 15 | +public class lc493 { |
| 16 | + public static void main(String[] args) { |
| 17 | + reversePairs(new int[]{1,3,2,3,1}); |
| 18 | + System.out.println(res); |
| 19 | + } |
| 20 | + |
| 21 | + static int res = 0; |
| 22 | + public static int reversePairs(int[] nums) { |
| 23 | + mergeSort(nums, 0, nums.length-1); |
| 24 | + return res; |
| 25 | + } |
| 26 | + |
| 27 | + public static void mergeSort(int[] nums, int left, int right){ |
| 28 | + if(left<right){ |
| 29 | + int mid = (left + right)/2; |
| 30 | + mergeSort(nums, left, mid); |
| 31 | + mergeSort(nums, mid+1, right); |
| 32 | + merge(nums, left, mid, right); |
| 33 | + } |
| 34 | + } |
| 35 | + |
| 36 | + public static void merge(int[] nums, int left, int mid, int right){ |
| 37 | + //count elements |
| 38 | + int pos1 = left; |
| 39 | + int pos2 = mid+1; |
| 40 | + int count = 0; |
| 41 | + while(pos1<=mid){ //双指针 统计逆序对 |
| 42 | + if(pos2>right||nums[pos1]<=(double)nums[pos2]*2) { |
| 43 | + pos1++; |
| 44 | + res+=count; |
| 45 | + } |
| 46 | + else{ |
| 47 | + pos2++; |
| 48 | + count++; |
| 49 | + } |
| 50 | + } |
| 51 | + |
| 52 | + Arrays.sort(nums, left, right + 1); |
| 53 | + |
| 54 | +// int[] nums_copy = nums.clone(); //耗时,大样例过不了 |
| 55 | +// pos1 = left; //注意pos1, pos2重新赋值 |
| 56 | +// pos2 = mid+1; |
| 57 | +// int cur = left; |
| 58 | +// while( pos1<=mid && pos2<=right ){ |
| 59 | +// if(nums_copy[pos1]<=nums_copy[pos2]){ |
| 60 | +// nums[cur] = nums_copy[pos1]; |
| 61 | +// pos1++; |
| 62 | +// cur++; |
| 63 | +// } else { |
| 64 | +// nums[cur] = nums_copy[pos2]; |
| 65 | +// pos2++; |
| 66 | +// cur++; |
| 67 | +// } |
| 68 | +// } |
| 69 | +// while(pos1<=mid){ |
| 70 | +// nums[cur] = nums_copy[pos1]; |
| 71 | +// cur++; |
| 72 | +// pos1++; |
| 73 | +// } |
| 74 | +// while(pos2<=right){ |
| 75 | +// nums[cur] = nums_copy[pos2]; |
| 76 | +// cur++; |
| 77 | +// pos2++; |
| 78 | +// } |
| 79 | + } |
| 80 | + |
| 81 | + |
| 82 | +} |
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