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  • POJ 2299 Ultra-QuickSort 简单题解

    Ultra-QuickSort
    Time Limit: 7000MS   Memory Limit: 65536K
    Total Submissions: 68874   Accepted: 25813

    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.

    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
    

    Source

     
     
    题目大意:求一组数据的逆序对,有多组数据,每组数据以一个n开头,读入以0结尾。
     
    做法:归并排序(裸题)
     
    代码如下:
     1 #include <cstdio>
     2 #include <cstring>
     3 #include <iostream>
     4 #include <algorithm>
     5 #define N 500007
     6 #define LL long long
     7 using namespace std;
     8 int n;
     9 LL a[N], b[N], ans;
    10 
    11 inline LL read()
    12 {
    13     LL s = 0;
    14     char ch = getchar();
    15     while (ch < '0' || ch > '9')    ch = getchar();
    16     while (ch >= '0' && ch <= '9')     s = s * 10 + ch - '0', ch = getchar();
    17     return s;
    18 }
    19 
    20 inline void merge(int l, int mid, int r)
    21 {
    22     int i = l, j = mid + 1;
    23     for (int k = l; k <= r; k++)
    24         if (j > r || i <= mid && a[i] < a[j])    b[k] = a[i++];
    25         else b[k] = a[j++], ans += mid - i + 1;
    26     for (int k = l; k <= r; k++)    a[k] = b[k];
    27 }
    28 
    29 inline void mergeSort(int a, int b)
    30 {
    31     int mid = (a + b) / 2;
    32     if (a < b)
    33     {
    34         mergeSort(a, mid);
    35         mergeSort(mid + 1, b);
    36         merge(a, mid, b); 
    37     }
    38 }
    39 
    40 int main()
    41 {
    42     while(scanf("%d", &n) && n != 0)
    43     {
    44         ans = 0;
    45         for (int i = 1; i <= n; i++)
    46             a[i] = read();
    47         mergeSort(1, n);
    48         cout << ans << endl;
    49     }
    50 }
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  • 原文地址:https://www.cnblogs.com/traveller-ly/p/Ultra-QuickSort.html
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