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排序数组中天花板的C#程序

排序数组中天花板的C#程序原文:https://www.

排序数组中天花板的 C# 程序

原文:https://www . geeksforgeeks . org/cs harp-program-for-child-in-a-sorted-array/

给定一个已排序的数组和值 x,x 的上限是数组中大于或等于 x 的最小元素,下限是小于或等于 x 的最大元素,假设数组按非递减顺序排序。写高效函数求楼层和天花板的 x.
例:

For example, let the input array be {1, 2, 8, 10, 10, 12, 19}
For x = 0: floor doesn't exist in array, ceil = 1
For x = 1: floor = 1, ceil = 1
For x = 5: floor = 2, ceil = 8
For x = 20: floor = 19, ceil doesn't exist in array

在下面的方法中,我们只实现了上限搜索功能。楼层搜索也可以用同样的方式实现。
方法 1(线性搜索)
搜索 x 上限的算法:
1)如果 x 小于或等于数组中的第一个元素,则返回 0(第一个元素的索引)
2)否则线性搜索索引 I,使 x 位于 arr[i]和 arr[i+1]之间。
3)如果在步骤 2 中没有找到索引 I,则返回-1

C


// C# program to find celing
// in a sorted array
using System;
class GFG {
    // Function to get index of ceiling 
    // of x in arr[low..high] 
    static int ceilSearch(int[] arr, int low, 
                           int high, int x)
    {
        int i;
        // If x is smaller than or equal
        // to first element, then return
        // the first element 
        if (x <= arr[low])
            return low;
        // Otherwise, linearly search 
        // for ceil value 
        for (i = low; i < high; i++) {
            if (arr[i] == x)
                return i;
            /* if x lies between arr[i] and 
            arr[i+1] including arr[i+1], 
            then return arr[i+1] */
            if (arr[i] < x && arr[i + 1] >= x)
                return i + 1;
        }
        /* If we reach here then x is 
        greater than the last element 
        of the array, return -1 in 
        this case */
        return -1;
    }
    // Driver code
    public static void Main()
    {
        int[] arr = { 1, 2, 8, 10, 10, 12, 19 };
        int n = arr.Length;
        int x = 3;
        int index = ceilSearch(arr, 0, n - 1, x);
        if (index == -1)
            Console.Write("Ceiling of " + x +
                     " doesn't exist in array");
        else
            Console.Write("ceiling of " + x +
                         " is " + arr[index]);
    }
}
// This code is contributed by Sam007.

输出:

ceiling of 3 is 8

时间复杂度: O(n)
方法 2(二分搜索法)
这里不用线性搜索,而是用二分搜索法来找出索引。二分搜索法将时间复杂度降低到 0(Logn)。

C


// C# program to find celing
// in a sorted array
using System;
class GFG {
    // Function to get index of ceiling
    // of x in arr[low..high]
    static int ceilSearch(int[] arr, int low, 
                             int high, int x)
    {
        int mid;
        // If x is smaller than or equal 
        // to the first element, then 
        // return the first element.
        if (x <= arr[low])
            return low;
        // If x is greater than the last 
        // element, then return -1 
        if (x > arr[high])
            return -1;
        // get the index of middle  
        // element of arr[low..high]
        mid = (low + high) / 2; 
        // low + (high - low)/2 
        // If x is same as middle  
        // element then return mid 
        if (arr[mid] == x)
            return mid;
        // If x is greater than arr[mid],  
        // then either arr[mid + 1] is
        // ceiling of x or ceiling lies
        // in arr[mid+1...high] 
        else if (arr[mid] < x) {
            if (mid + 1 <= high && x <= arr[mid + 1])
                return mid + 1;
            else
                return ceilSearch(arr, mid + 1, high, x);
        }
        // If x is smaller than arr[mid], 
        // then either arr[mid] is ceiling 
        // of x  or ceiling lies in 
        // arr[low...mid-1] 
        else {
            if (mid - 1 >= low && x > arr[mid - 1])
                return mid;
            else
                return ceilSearch(arr, low, mid - 1, x);
        }
    }
    // Driver code
    public static void Main()
    {
        int[] arr = { 1, 2, 8, 10, 10, 12, 19 };
        int n = arr.Length;
        int x = 8;
        int index = ceilSearch(arr, 0, n - 1, x);
        if (index == -1)
            Console.Write("Ceiling of " + x +
                      " doesn't exist in array");
        else
            Console.Write("ceiling of " + x + 
                            " is " + arr[index]);
    }
}
// This code is contributed by Sam007.

输出:

Ceiling of 20 doesn't exist in array

时间复杂度:O(Logn)

相关文章:
排序数组中的 floor
在未排序数组中查找 Floor 和 ceil
如果您发现以上代码/算法中有任何一个不正确,或者找到更好的方法来解决相同的问题,或者想要为 Floor 实现共享代码,请写评论。

更多详情请参考完整文章排序数组中的上限!


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