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    numpy.searchsorted() in Python

    Last Updated : 27 Sep, 2025
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    The numpy.searchsorted() function is used to find index positions where new values can be inserted into a sorted NumPy array while keeping the array order intact. It works using binary search, making it efficient for large arrays.

    In this simple example, we check where the number 15 should be inserted into a sorted array [10, 20, 30].

    Python
    import numpy as np
    
    arr = np.array([10, 20, 30])
    val = 15
    
    idx = np.searchsorted(arr, val)
    print("Insertion index:", idx)
    

    Output
    Insertion index: 1
    

    Explanation: number 15 should be placed at index 1 (between 10 and 20) to keep the array sorted.

    Syntax

    numpy.searchsorted(arr, values, side='left', sorter=None)

    Parameters:

    • arr (array_like): Sorted input array.
    • values (array_like): Value(s) to insert.
    • side ('left' or 'right', optional) 'left': index of first suitable location and 'right': index of last suitable location.
    • sorter (array_like, optional): Indices that sort arr (from argsort).

    Returns: indices (ndarray): Insertion points, same shape as values.

    Examples

    Example 1: In this example, we insert a number into a sorted array and find its index.

    Python
    import numpy as np
    
    arr = np.array([10, 20, 30, 40, 50])
    val = 30
    
    idx = np.searchsorted(arr, val)
    print ("Array:", arr)
    print ("Value to insert:", val)
    print ("Insertion index:", idx)
    

    Output
    Array: [10 20 30 40 50]
    Value to insert: 30
    Insertion index: 2
    

    Explanation: 30 fits at index 2 in the sorted array (before the existing 30).

    Example 2: Here, we insert the same number but use side='right' to place it after existing equal values.

    Python
    import numpy as np
    
    arr = np.array([10, 20, 30, 40, 50])
    val = 30
    
    idx = np.searchsorted(arr, val, side='right')
    print ("Array:", arr)
    print ("Value to insert:", val)
    print ("Insertion index:", idx)
    

    Output
    Array: [10 20 30 40 50]
    Value to insert: 30
    Insertion index: 3
    

    Explanation: With side='right', insertion happens after the existing 30, i.e., at index 3.

    Example 3: In this example, we pass an array of values to np.searchsorted() and it returns the insertion indices for each value.

    Python
    import numpy as np
    
    arr = np.array([10, 20, 30, 40, 50])
    vals = np.array([30, 60, 5])
    
    idx = np.searchsorted(arr, vals)
    print ("Array:", arr)
    print ("Values to insert:", vals)
    print ("Insertion indices:", idx)
    

    Output
    Array: [10 20 30 40 50]
    Values to insert: [30 60  5]
    Insertion indices: [2 5 0]
    

    Explanation:

    • 30 -> index 2 (before the existing 30).
    • 60 -> index 5 (end of array).
    • 5 -> index 0 (start of array).
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    Article Tags :
    • Python
    • Python-numpy
    • Python numpy-Sorting Searching

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