浙江大学数据结构MOOC-课后习题-第九讲-排序2 Insert or Merge

题目汇总
浙江大学数据结构MOOC-课后习题-拼题A-代码分享-2024

题目描述

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测试点

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思路分析

刚开始我打算想推出一个规律，来判断是否是归并排序，但实在太过于复杂，我很难去想出这样的规律…因此，参考了其他博主的思路——每做一次排序就和给定的序列比较一次，这样的话只需要在现有的插入和归并算法上稍作添加即可，具体可参考insertion_Sort()和Merge_Sort()部分的代码

代码展示

/*
*	一遍遍执行插入排序或者归并排序
*   每次比较是否和给定的序列相同
*/
#include <cstdlib>
#include <iostream>
#define MAXSIZE 100
typedef int ElementType;void print(int A[], int N)
{for (int i = 0; i < N; i++){if (i == 0)std::cout << A[i];elsestd::cout << ' ' << A[i];}
}
bool isSame(int A[], int input[], int N)
{for (int i = 0; i < N; i++){if (A[i] != input[i])return false;}return true;
}
bool insertion_Sort(int A[], int input[], int N)
{/* 算法 */int i, j, temp;bool flag = false;for (i = 1; i < N; i++){	temp = A[i];	/* 摸牌 */for (j = i; j > 0 && A[j - 1] > temp; j--)A[j] = A[j - 1];A[j] = temp;if (flag == true){print(A, N);return true;;}if (isSame(A, input, N)){std::cout << "Insertion Sort" << std::endl;flag = true;}}return false;
}void Merge(int A[], int tempA[], int L, int R, int rightEnd)
{int leftEnd = R - 1;int length = rightEnd - L + 1;int i = L;while (L <= leftEnd && R <= rightEnd){if (A[L] < A[R])tempA[i++] = A[L++];elsetempA[i++] = A[R++];}while (L <= leftEnd)tempA[i++] = A[L++];while (R <= rightEnd)tempA[i++] = A[R++];
}void Merge_pass(int A[], int tempA[], int N, int length)
{int i = 0;for (i = 0; i <= N - 2 * length; i += 2 * length)Merge(A, tempA, i, i + length, i + 2 * length - 1);if (i + length < N)Merge(A, tempA, i, i + length, N - 1);else{for (; i < N; i++)tempA[i] = A[i];}
}bool Merge_Sort(int A[], int input[], int N)
{/* 算法 */int* tempA = (int*)malloc(N * sizeof(int));int length = 1;if (tempA != NULL){while (length < N){Merge_pass(A, tempA, N, length);length *= 2;if (isSame(tempA, input, N)){std::cout << "Merge Sort" << std::endl;Merge_pass(tempA, A, N, length);print(A, N);return true;}Merge_pass(tempA, A, N, length);length *= 2;if (isSame(A, input, N)){std::cout << "Merge Sort" << std::endl;Merge_pass(A, tempA, N, length);print(tempA, N);return true;}}free(tempA);}else std::cout << "ERROR";return false;
}void check(int A[], int input[], int N)
{int copyA[MAXSIZE];for (int i = 0; i < N; i++)copyA[i] = A[i];if (Merge_Sort(copyA, input, N))return;else{for (int i = 0; i < N; i++)copyA[i] = A[i];insertion_Sort(copyA, input, N);return;}
}int main()
{int A[MAXSIZE];int input[MAXSIZE];int N;std::cin >> N;for (int i = 0; i < N; i++)std::cin >> A[i];for (int i = 0; i < N; i++)std::cin >> input[i];check(A, input, N);return 0;
}