Ultra-QuickSort
Time Limit: 7000MS | Memory Limit: 65536K | |
Total Submissions: 32539 | Accepted: 11599 |
Description
In this problem, you have to analyze a particular sorting algorithm. The algorithm processes a sequence of n distinct integers by swapping two adjacent sequence elements until the sequence is sorted in ascending order. For the input sequence
9 1 0 5 4 ,
Ultra-QuickSort produces the output
0 1 4 5 9 .
Your task is to determine how many swap operations Ultra-QuickSort needs to perform in order to sort a given input sequence.
Ultra-QuickSort produces the output
Your task is to determine how many swap operations Ultra-QuickSort needs to perform in order to sort a given input sequence.
Input
The input contains several test cases. Every test case begins with a line that contains a single integer n < 500,000 -- the length of the input sequence. Each of the the following n lines contains a single integer 0 ≤ a[i] ≤ 999,999,999, the i-th input sequence element. Input is terminated by a sequence of length n = 0. This sequence must not be processed.
Output
For every input sequence, your program prints a single line containing an integer number op, the minimum number of swap operations necessary to sort the given input sequence.
Sample Input
5 9 1 0 5 4 3 1 2 3 0
Sample Output
6 0
提示:运用归并排序
#include <stdio.h> int temp[500005]; int a[500005]; long long ans = 0; void Merge(int arr[], int low, int mid, int high) { int index1 = low; int index2 = mid + 1; int index3 = 0; while(index1 <= mid && index2 <= high) { if (arr[index1] <= arr[index2]) { temp[index3++] = arr[index1++]; } else { temp[index3++] = arr[index2++]; ans += mid + 1 - index1; } } while(index1 <= mid) { temp[index3++] = arr[index1++]; } while(index2 <= high) { temp[index3++] = arr[index2++]; } int j; for (int i = 0,j = low; j <= high; i++, j++) { arr[j] = temp[i]; } } void MergeSort(int arr[], int low, int high) { if (low < high) { int mid = (low + high) / 2; MergeSort(arr, low, mid); MergeSort(arr, mid + 1, high); Merge(arr, low, mid, high); } } int main() { int n; while(1) { scanf("%d", &n); if (n == 0) { break; } for (int i = 0; i < n; i++) { scanf("%d", &a[i]); } ans = 0; MergeSort(a, 0, n - 1); printf("%lld\n", ans); } return 0; }