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📜  通过反转每个数组元素的位后进行排序来修改数组

📅  最后修改于: 2021-04-17 13:55:32             🧑  作者: Mango

给定一个由N个整数组成的数组arr [] ,任务是通过将每个数组元素替换为由以下内容获得的数字来修改数组: 反转它们各自的二进制表示形式,并对修改后的数组进行排序。

例子:

方法:请按照以下步骤解决问题:

  • 遍历数组arr []并将每个数组元素转换为其等效的二进制表示形式,并将其以二进制字符串的形式存储。
  • 反转这些二进制字符串,然后将反转的二进制字符串转换为等效的十进制。
  • 对修改后的数组进行排序。
  • 打印排序后的数组。

下面是上述方法的实现:

C++14
// C++ implementation of
// the above approach
 
#include 
using namespace std;
 
// Function to convert binary
// number to equivalent decimal
int binaryToDecimal(string n)
{
    string num = n;
    int dec_value = 0;
 
    // Set base value to 1, i.e 2^0
    int base = 1;
 
    int len = num.length();
    for (int i = len - 1; i >= 0; i--) {
        if (num[i] == '1')
            dec_value += base;
        base = base * 2;
    }
 
    return dec_value;
}
 
// Function to convert a decimal
// to equivalent binary representation
string decimalToBinary(int n)
{
    // Stores the binary representation
    string binstr = "";
 
    while (n > 0) {
 
        // Since ASCII value of
        // '0', '1' are 48 and 49
        binstr += (n % 2 + 48);
        n = n / 2;
    }
 
    // As the string is already reversed,
    // no further reversal is required
    return binstr;
}
 
// Function to convert the reversed binary
// representation to equivalent integer
int reversedBinaryDecimal(int N)
{
    // Stores reversed binary
    // representation of given decimal
    string decimal_to_binar
        = decimalToBinary(N);
 
    // Stores equivalent decimal
    // value of the binary representation
    int binary_to_decimal
        = binaryToDecimal(decimal_to_binar);
 
    // Return the resultant integer
    return binary_to_decimal;
}
 
// Utility function to print the sorted array
void printSortedArray(int arr[], int size)
{
    // Sort the array
    sort(arr, arr + size);
 
    // Traverse the array
    for (int i = 0; i < size; i++)
 
        // Print the array elements
        cout << arr[i] << " ";
 
    cout << endl;
}
 
// Utility function to reverse the
// binary representations of all
// array elements and sort the modified array
void modifyArray(int arr[], int size)
{
    // Traverse the array
    for (int i = 0; i < size; i++) {
 
        // Passing array elements to
        // reversedBinaryDecimal function
        arr[i] = reversedBinaryDecimal(
            arr[i]);
    }
 
    // Pass the array to
    // the sorted array
    printSortedArray(arr, size);
}
 
// Driver Code
int main()
{
    int arr[] = { 98, 43, 66, 83 };
    int n = sizeof(arr) / sizeof(arr[0]);
 
    modifyArray(arr, n);
 
    return 0;
}


Python3
# Python3 implementation of
# the above approach
 
# Function to convert binary
# number to equivalent decimal
def binaryToDecimal(n):
 
    num = n
    dec_value = 0
 
    # Set base value to 1, i.e 2^0
    base = 1
 
    length = len(num)
     
    for i in range(length - 1, -1, -1):
        if (num[i] == '1'):
            dec_value += base
             
        base = base * 2
 
    return dec_value
 
# Function to convert a decimal
# to equivalent binary representation
def decimalToBinary(n):
 
    # Stores the binary representation
    binstr = ""
 
    while (n > 0):
 
        # Since ASCII value of
        # '0', '1' are 48 and 49
        binstr += chr(n % 2 + 48)
        n = n // 2
 
    # As the string is already reversed,
    # no further reversal is required
    return binstr
 
# Function to convert the reversed binary
# representation to equivalent integer
def reversedBinaryDecimal(N):
 
    # Stores reversed binary
    # representation of given decimal
    decimal_to_binar = decimalToBinary(N)
 
    # Stores equivalent decimal
    # value of the binary representation
    binary_to_decimal = binaryToDecimal(
        decimal_to_binar)
 
    # Return the resultant integer
    return binary_to_decimal
 
# Utility function to print the sorted array
def printSortedArray(arr, size):
 
    # Sort the array
    arr.sort()
 
    # Traverse the array
    for i in range(size):
 
        # Print the array elements
        print(arr[i], end=" ")
 
    print()
 
# Utility function to reverse the
# binary representations of all
# array elements and sort the modified array
def modifyArray(arr, size):
 
    # Traverse the array
    for i in range(size):
 
        # Passing array elements to
        # reversedBinaryDecimal function
        arr[i] = reversedBinaryDecimal(arr[i])
 
    # Pass the array to
    # the sorted array
    printSortedArray(arr, size)
 
# Driver Code
if __name__ == "__main__":
 
    arr = [ 98, 43, 66, 83 ]
    n = len(arr)
 
    modifyArray(arr, n)
 
# This code is contributed by ukasp


输出:
33 35 53 101

时间复杂度:O(NlogN)
辅助空间: O(log 2 M),其中M表示数组中存在的最大元素。