PAT 1098. Insertion or Heap Sort (25)

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According to Wikipedia: Insertion sort iterates, consuming one input element each repetition, and growing a sorted output list. Each iteration, insertion sort removes one element from the input data, finds the location it belongs within the sorted list, and inserts it there. It repeats until no input elements remain. Heap sort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element and moving that to the sorted region. it involves the use of a heap data structure rather than a linear-time search to find the maximum. Now given the initial sequence of integers, together with a sequence which is a result of several iterations of some sorting method, can you tell which sorting method we are using?

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (<=100). Then in the next line, N integers are given as the initial sequence. The last line contains the partially sorted sequence of the N numbers. It is assumed that the target sequence is always ascending. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print in the first line either “Insertion Sort” or “Heap Sort” to indicate the method used to obtain the partial result. Then run this method for one more iteration and output in the second line the resuling sequence. It is guaranteed that the answer is unique for each test case. All the numbers in a line must be separated by a space, and there must be no extra space at the end of the line.

Sample Input 1:

10
3 1 2 8 7 5 9 4 6 0
1 2 3 7 8 5 9 4 6 0

Sample Output 1:

Insertion Sort
1 2 3 5 7 8 9 4 6 0

Sample Input 2:

10
3 1 2 8 7 5 9 4 6 0
6 4 5 1 0 3 2 7 8 9

Sample Output 2:

Heap Sort
5 4 3 1 0 2 6 7 8 9

首先判断是否是插入排序的，插入排序的判断就是判断前面一部分是否是有序的，后面的一部分的两个序列是否是相等的，如果满足条件则是插入排序，否则就是堆排序，然后写一下插入排序和堆排序就行了

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#include <cstdio>
#include <algorithm>

using namespace std;

bool isInsert(int *init, int *part, int n) {
    int i = 1;
    while (i < n && part[i] >= part[i - 1]) i++;
    while (i < n && part[i] == init[i]) i++;
    if (i == n) return true;
    return false;
}

void insertSort(int *part, int n) {
    int i = 1;
    while (i < n && part[i] >= part[i - 1]) i++;
    sort(part, part + i + 1);
}

void adjust(int *part, int cur, int n) {
    int max = cur;
    if (2 * cur + 1 < n && part[2 * cur + 1] > part[max]) max = 2 * cur + 1;
    if (2 * cur + 2 < n && part[2 * cur + 2] > part[max]) max = 2 * cur + 2;
    if (max != cur) {
        swap(part[max], part[cur]);
        adjust(part, max, n);
    }
}

void heapSort(int *part, int end) {
    while (end >= 0 && part[end] > part[0]) end--;
    swap(part[0], part[end]);
    adjust(part, 0, end);
}

int main() {
    int n = 0;
    scanf("%d", &n);
    int *init = new int[n], *part = new int[n];
    for (int i = 0; i < n; i++) {
        scanf("%d", &init[i]);
    }
    for (int i = 0; i < n; i++) {
        scanf("%d", &part[i]);
    }
    bool insert = isInsert(init, part, n);
    if (insert) {
        printf("Insertion Sort\n");
        insertSort(part, n);
        printf("%d", part[0]);
        for (int i = 1; i < n; i++) {
            printf(" %d", part[i]);
        }
    } else {
        printf("Heap Sort\n");
        heapSort(part, n - 1);
        printf("%d", part[0]);
        for (int i = 1; i < n; i++) {
            printf(" %d", part[i]);
        }
    }
    delete[] part;
    delete[] init;
    return 0;
}