satellite_combos.py

# -*- coding: utf-8 -*-
"""
Get specific pre-computed index combinations without itertools.combiantions().

Author: Jonas Beuchert
"""
import numpy as np

storage = {}

def get_combos(n, k):
    """Get all combinations of indices.

    Choose k elements from indices 0...n-1.

    Inputs:
        n - Total number of indices
        k - Number of indices to choose

    Outputs:
        combos - 2D NumPy array with all combinations with k elements

    Author: Jonas Beuchert
    """
    if n not in storage:
        # Create storage for later use
        storage[n] = {}
    # Check if entry exists already
    if k not in storage[n]:
        if n == 15 and k == 1:
            storage[n][k] = np.array(
                [[0],[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14]]
            )
        elif n == 15 and k == 2:
            storage[n][k] = np.array(
                [[0,1],[0,2],[0,3],[0,4],[0,5],[0,6],[0,7],[0,8],[0,9],[0,10],[0,11],[0,12],[0,13],[0,14],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,13],[1,14],[2,3],[2,4],[2,5],[2,6],[2,7],[2,8],[2,9],[2,10],[2,11],[2,12],[2,13],[2,14],[3,4],[3,5],[3,6],[3,7],[3,8],[3,9],[3,10],[3,11],[3,12],[3,13],[3,14],[4,5],[4,6],[4,7],[4,8],[4,9],[4,10],[4,11],[4,12],[4,13],[4,14],[5,6],[5,7],[5,8],[5,9],[5,10],[5,11],[5,12],[5,13],[5,14],[6,7],[6,8],[6,9],[6,10],[6,11],[6,12],[6,13],[6,14],[7,8],[7,9],[7,10],[7,11],[7,12],[7,13],[7,14],[8,9],[8,10],[8,11],[8,12],[8,13],[8,14],[9,10],[9,11],[9,12],[9,13],[9,14],[10,11],[10,12],[10,13],[10,14],[11,12],[11,13],[11,14],[12,13],[12,14],[13,14]]
            )
        elif n == 15 and k == 3:
            storage[n][k] = np.array(
                [[0,1,2],[0,1,3],[0,1,4],[0,1,5],[0,1,6],[0,1,7],[0,1,8],[0,1,9],[0,1,10],[0,1,11],[0,1,12],[0,1,13],[0,1,14],[0,2,3],[0,2,4],[0,2,5],[0,2,6],[0,2,7],[0,2,8],[0,2,9],[0,2,10],[0,2,11],[0,2,12],[0,2,13],[0,2,14],[0,3,4],[0,3,5],[0,3,6],[0,3,7],[0,3,8],[0,3,9],[0,3,10],[0,3,11],[0,3,12],[0,3,13],[0,3,14],[0,4,5],[0,4,6],[0,4,7],[0,4,8],[0,4,9],[0,4,10],[0,4,11],[0,4,12],[0,4,13],[0,4,14],[0,5,6],[0,5,7],[0,5,8],[0,5,9],[0,5,10],[0,5,11],[0,5,12],[0,5,13],[0,5,14],[0,6,7],[0,6,8],[0,6,9],[0,6,10],[0,6,11],[0,6,12],[0,6,13],[0,6,14],[0,7,8],[0,7,9],[0,7,10],[0,7,11],[0,7,12],[0,7,13],[0,7,14],[0,8,9],[0,8,10],[0,8,11],[0,8,12],[0,8,13],[0,8,14],[0,9,10],[0,9,11],[0,9,12],[0,9,13],[0,9,14],[0,10,11],[0,10,12],[0,10,13],[0,10,14],[0,11,12],[0,11,13],[0,11,14],[0,12,13],[0,12,14],[0,13,14],[1,2,3],[1,2,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,2,9],[1,2,10],[1,2,11],[1,2,12],[1,2,13],[1,2,14],[1,3,4],[1,3,5],[1,3,6],[1,3,7],[1,3,8],[1,3,9],[1,3,10],[1,3,11],[1,3,12],[1,3,13],[1,3,14],[1,4,5],[1,4,6],[1,4,7],[1,4,8],[1,4,9],[1,4,10],[1,4,11],[1,4,12],[1,4,13],[1,4,14],[1,5,6],[1,5,7],[1,5,8],[1,5,9],[1,5,10],[1,5,11],[1,5,12],[1,5,13],[1,5,14],[1,6,7],[1,6,8],[1,6,9],[1,6,10],[1,6,11],[1,6,12],[1,6,13],[1,6,14],[1,7,8],[1,7,9],[1,7,10],[1,7,11],[1,7,12],[1,7,13],[1,7,14],[1,8,9],[1,8,10],[1,8,11],[1,8,12],[1,8,13],[1,8,14],[1,9,10],[1,9,11],[1,9,12],[1,9,13],[1,9,14],[1,10,11],[1,10,12],[1,10,13],[1,10,14],[1,11,12],[1,11,13],[1,11,14],[1,12,13],[1,12,14],[1,13,14],[2,3,4],[2,3,5],[2,3,6],[2,3,7],[2,3,8],[2,3,9],[2,3,10],[2,3,11],[2,3,12],[2,3,13],[2,3,14],[2,4,5],[2,4,6],[2,4,7],[2,4,8],[2,4,9],[2,4,10],[2,4,11],[2,4,12],[2,4,13],[2,4,14],[2,5,6],[2,5,7],[2,5,8],[2,5,9],[2,5,10],[2,5,11],[2,5,12],[2,5,13],[2,5,14],[2,6,7],[2,6,8],[2,6,9],[2,6,10],[2,6,11],[2,6,12],[2,6,13],[2,6,14],[2,7,8],[2,7,9],[2,7,10],[2,7,11],[2,7,12],[2,7,13],[2,7,14],[2,8,9],[2,8,10],[2,8,11],[2,8,12],[2,8,13],[2,8,14],[2,9,10],[2,9,11],[2,9,12],[2,9,13],[2,9,14],[2,10,11],[2,10,12],[2,10,13],[2,10,14],[2,11,12],[2,11,13],[2,11,14],[2,12,13],[2,12,14],[2,13,14],[3,4,5],[3,4,6],[3,4,7],[3,4,8],[3,4,9],[3,4,10],[3,4,11],[3,4,12],[3,4,13],[3,4,14],[3,5,6],[3,5,7],[3,5,8],[3,5,9],[3,5,10],[3,5,11],[3,5,12],[3,5,13],[3,5,14],[3,6,7],[3,6,8],[3,6,9],[3,6,10],[3,6,11],[3,6,12],[3,6,13],[3,6,14],[3,7,8],[3,7,9],[3,7,10],[3,7,11],[3,7,12],[3,7,13],[3,7,14],[3,8,9],[3,8,10],[3,8,11],[3,8,12],[3,8,13],[3,8,14],[3,9,10],[3,9,11],[3,9,12],[3,9,13],[3,9,14],[3,10,11],[3,10,12],[3,10,13],[3,10,14],[3,11,12],[3,11,13],[3,11,14],[3,12,13],[3,12,14],[3,13,14],[4,5,6],[4,5,7],[4,5,8],[4,5,9],[4,5,10],[4,5,11],[4,5,12],[4,5,13],[4,5,14],[4,6,7],[4,6,8],[4,6,9],[4,6,10],[4,6,11],[4,6,12],[4,6,13],[4,6,14],[4,7,8],[4,7,9],[4,7,10],[4,7,11],[4,7,12],[4,7,13],[4,7,14],[4,8,9],[4,8,10],[4,8,11],[4,8,12],[4,8,13],[4,8,14],[4,9,10],[4,9,11],[4,9,12],[4,9,13],[4,9,14],[4,10,11],[4,10,12],[4,10,13],[4,10,14],[4,11,12],[4,11,13],[4,11,14],[4,12,13],[4,12,14],[4,13,14],[5,6,7],[5,6,8],[5,6,9],[5,6,10],[5,6,11],[5,6,12],[5,6,13],[5,6,14],[5,7,8],[5,7,9],[5,7,10],[5,7,11],[5,7,12],[5,7,13],[5,7,14],[5,8,9],[5,8,10],[5,8,11],[5,8,12],[5,8,13],[5,8,14],[5,9,10],[5,9,11],[5,9,12],[5,9,13],[5,9,14],[5,10,11],[5,10,12],[5,10,13],[5,10,14],[5,11,12],[5,11,13],[5,11,14],[5,12,13],[5,12,14],[5,13,14],[6,7,8],[6,7,9],[6,7,10],[6,7,11],[6,7,12],[6,7,13],[6,7,14],[6,8,9],[6,8,10],[6,8,11],[6,8,12],[6,8,13],[6,8,14],[6,9,10],[6,9,11],[6,9,12],[6,9,13],[6,9,14],[6,10,11],[6,10,12],[6,10,13],[6,10,14],[6,11,12],[6,11,13],[6,11,14],[6,12,13],[6,12,14],[6,13,14],[7,8,9],[7,8,10],[7,8,11],[7,8,12],[7,8,13],[7,8,14],[7,9,10],[7,9,11],[7,9,12],[7,9,13],[7,9,14],[7,10,11],[7,10,12],[7,10,13],[7,10,14],[7,11,12],[7,11,13],[7,11,14],[7,12,13],[7,12,14],[7,13,14],[8,9,10],[8,9,11],[8,9,12],[8,9,13],[8,9,14],[8,10,11],[8,10,12],[8,10,13],[8,10,14],[8,11,12],[8,11,13],[8,11,14],[8,12,13],[8,12,14],[8,13,14],[9,10,11],[9,10,12],[9,10,13],[9,10,14],[9,11,12],[9,11,13],[9,11,14],[9,12,13],[9,12,14],[9,13,14],[10,11,12],[10,11,13],[10,11,14],[10,12,13],[10,12,14],[10,13,14],[11,12,13],[11,12,14],[11,13,14],[12,13,14]]
            )
        elif n == 15 and k == 4:
            storage[n][k] = np.array(
                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,13],[3,4,8,14],[3,4,9,10],[3,4,9,11],[3,4,9,12],[3,4,9,13],[3,4,9,14],[3,4,10,11],[3,4,10,12],[3,4,10,13],[3,4,10,14],[3,4,11,12],[3,4,11,13],[3,4,11,14],[3,4,12,13],[3,4,12,14],[3,4,13,14],[3,5,6,7],[3,5,6,8],[3,5,6,9],[3,5,6,10],[3,5,6,11],[3,5,6,12],[3,5,6,13],[3,5,6,14],[3,5,7,8],[3,5,7,9],[3,5,7,10],[3,5,7,11],[3,5,7,12],[3,5,7,13],[3,5,7,14],[3,5,8,9],[3,5,8,10],[3,5,8,11],[3,5,8,12],[3,5,8,13],[3,5,8,14],[3,5,9,10],[3,5,9,11],[3,5,9,12],[3,5,9,13],[3,5,9,14],[3,5,10,11],[3,5,10,12],[3,5,10,13],[3,5,10,14],[3,5,11,12],[3,5,11,13],[3,5,11,14],[3,5,12,13],[3,5,12,14],[3,5,13,14],[3,6,7,8],[3,6,7,9],[3,6,7,10],[3,6,7,11],[3,6,7,12],[3,6,7,13],[3,6,7,14],[3,6,8,9],[3,6,8,10],[3,6,8,11],[3,6,8,12],[3,6,8,13],[3,6,8,14],[3,6,9,10],[3,6,9,11],[3,6,9,12],[3,6,9,13],[3,6,9,14],[3,6,10,11],[3,6,10,12],[3,6,10,13],[3,6,10,14],[3,6,11,12],[3,6,11,13],[3,6,11,14],[3,6,12,13],[3,6,12,14],[3,6,13,14],[3,7,8,9],[3,7,8,10],[3,7,8,11],[3,7,8,12],[3,7,8,13],[3,7,8,14],[3,7,9,10],[3,7,9,11],[3,7,9,12],[3,7,9,13],[3,7,9,14],[3,7,10,11],[3,7,10,12],[3,7,10,13],[3,7,10,14],[3,7,11,12],[3,7,11,13],[3,7,11,14],[3,7,12,13],[3,7,12,14],[3,7,13,14],[3,8,9,10],[3,8,9,11],[3,8,9,12],[3,8,9,13],[3,8,9,14],[3,8,10,11],[3,8,10,12],[3,8,10,13],[3,8,10,14],[3,8,11,12],[3,8,11,13],[3,8,11,14],[3,8,12,13],[3,8,12,14],[3,8,13,14],[3,9,10,11],[3,9,10,12],[3,9,10,13],[3,9,10,14],[3,9,11,12],[3,9,11,13],[3,9,11,14],[3,9,12,13],[3,9,12,14],[3,9,13,14],[3,10,11,12],[3,10,11,13],[3,10,11,14],[3,10,12,13],[3,10,12,14],[3,10,13,14],[3,11,12,13],[3,11,12,14],[3,11,13,14],[3,12,13,14],[4,5,6,7],[4,5,6,8],[4,5,6,9],[4,5,6,10],[4,5,6,11],[4,5,6,12],[4,5,6,13],[4,5,6,14],[4,5,7,8],[4,5,7,9],[4,5,7,10],[4,5,7,11],[4,5,7,12],[4,5,7,13],[4,5,7,14],[4,5,8,9],[4,5,8,10],[4,5,8,11],[4,5,8,12],[4,5,8,13],[4,5,8,14],[4,5,9,10],[4,5,9,11],[4,5,9,12],[4,5,9,13],[4,5,9,14],[4,5,10,11],[4,5,10,12],[4,5,10,13],[4,5,10,14],[4,5,11,12],[4,5,11,13],[4,5,11,14],[4,5,12,13],[4,5,12,14],[4,5,13,14],[4,6,7,8],[4,6,7,9],[4,6,7,10],[4,6,7,11],[4,6,7,12],[4,6,7,13],[4,6,7,14],[4,6,8,9],[4,6,8,10],[4,6,8,11],[4,6,8,12],[4,6,8,13],[4,6,8,14],[4,6,9,10],[4,6,9,11],[4,6,9,12],[4,6,9,13],[4,6,9,14],[4,6,10,11],[4,6,10,12],[4,6,10,13],[4,6,10,14],[4,6,11,12],[4,6,11,13],[4,6,11,14],[4,6,12,13],[4,6,12,14],[4,6,13,14],[4,7,8,9],[4,7,8,10],[4,7,8,11],[4,7,8,12],[4,7,8,13],[4,7,8,14],[4,7,9,10],[4,7,9,11],[4,7,9,12],[4,7,9,13],[4,7,9,14],[4,7,10,11],[4,7,10,12],[4,7,10,13],[4,7,10,14],[4,7,11,12],[4,7,11,13],[4,7,11,14],[4,7,12,13],[4,7,12,14],[4,7,13,14],[4,8,9,10],[4,8,9,11],[4,8,9,12],[4,8,9,13],[4,8,9,14],[4,8,10,11],[4,8,10,12],[4,8,10,13],[4,8,10,14],[4,8,11,12],[4,8,11,13],[4,8,11,14],[4,8,12,13],[4,8,12,14],[4,8,13,14],[4,9,10,11],[4,9,10,12],[4,9,10,13],[4,9,10,14],[4,9,11,12],[4,9,11,13],[4,9,11,14],[4,9,12,13],[4,9,12,14],[4,9,13,14],[4,10,11,12],[4,10,11,13],[4,10,11,14],[4,10,12,13],[4,10,12,14],[4,10,13,14],[4,11,12,13],[4,11,12,14],[4,11,13,14],[4,12,13,14],[5,6,7,8],[5,6,7,9],[5,6,7,10],[5,6,7,11],[5,6,7,12],[5,6,7,13],[5,6,7,14],[5,6,8,9],[5,6,8,10],[5,6,8,11],[5,6,8,12],[5,6,8,13],[5,6,8,14],[5,6,9,10],[5,6,9,11],[5,6,9,12],[5,6,9,13],[5,6,9,14],[5,6,10,11],[5,6,10,12],[5,6,10,13],[5,6,10,14],[5,6,11,12],[5,6,11,13],[5,6,11,14],[5,6,12,13],[5,6,12,14],[5,6,13,14],[5,7,8,9],[5,7,8,10],[5,7,8,11],[5,7,8,12],[5,7,8,13],[5,7,8,14],[5,7,9,10],[5,7,9,11],[5,7,9,12],[5,7,9,13],[5,7,9,14],[5,7,10,11],[5,7,10,12],[5,7,10,13],[5,7,10,14],[5,7,11,12],[5,7,11,13],[5,7,11,14],[5,7,12,13],[5,7,12,14],[5,7,13,14],[5,8,9,10],[5,8,9,11],[5,8,9,12],[5,8,9,13],[5,8,9,14],[5,8,10,11],[5,8,10,12],[5,8,10,13],[5,8,10,14],[5,8,11,12],[5,8,11,13],[5,8,11,14],[5,8,12,13],[5,8,12,14],[5,8,13,14],[5,9,10,11],[5,9,10,12],[5,9,10,13],[5,9,10,14],[5,9,11,12],[5,9,11,13],[5,9,11,14],[5,9,12,13],[5,9,12,14],[5,9,13,14],[5,10,11,12],[5,10,11,13],[5,10,11,14],[5,10,12,13],[5,10,12,14],[5,10,13,14],[5,11,12,13],[5,11,12,14],[5,11,13,14],[5,12,13,14],[6,7,8,9],[6,7,8,10],[6,7,8,11],[6,7,8,12],[6,7,8,13],[6,7,8,14],[6,7,9,10],[6,7,9,11],[6,7,9,12],[6,7,9,13],[6,7,9,14],[6,7,10,11],[6,7,10,12],[6,7,10,13],[6,7,10,14],[6,7,11,12],[6,7,11,13],[6,7,11,14],[6,7,12,13],[6,7,12,14],[6,7,13,14],[6,8,9,10],[6,8,9,11],[6,8,9,12],[6,8,9,13],[6,8,9,14],[6,8,10,11],[6,8,10,12],[6,8,10,13],[6,8,10,14],[6,8,11,12],[6,8,11,13],[6,8,11,14],[6,8,12,13],[6,8,12,14],[6,8,13,14],[6,9,10,11],[6,9,10,12],[6,9,10,13],[6,9,10,14],[6,9,11,12],[6,9,11,13],[6,9,11,14],[6,9,12,13],[6,9,12,14],[6,9,13,14],[6,10,11,12],[6,10,11,13],[6,10,11,14],[6,10,12,13],[6,10,12,14],[6,10,13,14],[6,11,12,13],[6,11,12,14],[6,11,13,14],[6,12,13,14],[7,8,9,10],[7,8,9,11],[7,8,9,12],[7,8,9,13],[7,8,9,14],[7,8,10,11],[7,8,10,12],[7,8,10,13],[7,8,10,14],[7,8,11,12],[7,8,11,13],[7,8,11,14],[7,8,12,13],[7,8,12,14],[7,8,13,14],[7,9,10,11],[7,9,10,12],[7,9,10,13],[7,9,10,14],[7,9,11,12],[7,9,11,13],[7,9,11,14],[7,9,12,13],[7,9,12,14],[7,9,13,14],[7,10,11,12],[7,10,11,13],[7,10,11,14],[7,10,12,13],[7,10,12,14],[7,10,13,14],[7,11,12,13],[7,11,12,14],[7,11,13,14],[7,12,13,14],[8,9,10,11],[8,9,10,12],[8,9,10,13],[8,9,10,14],[8,9,11,12],[8,9,11,13],[8,9,11,14],[8,9,12,13],[8,9,12,14],[8,9,13,14],[8,10,11,12],[8,10,11,13],[8,10,11,14],[8,10,12,13],[8,10,12,14],[8,10,13,14],[8,11,12,13],[8,11,12,14],[8,11,13,14],[8,12,13,14],[9,10,11,12],[9,10,11,13],[9,10,11,14],[9,10,12,13],[9,10,12,14],[9,10,13,14],[9,11,12,13],[9,11,12,14],[9,11,13,14],[9,12,13,14],[10,11,12,13],[10,11,12,14],[10,11,13,14],[10,12,13,14],[11,12,13,14]]
            )
        elif n == 15 and k == 5:
            storage[n][k] = np.array(
                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3],[4,5,7,10,14],[4,5,7,11,12],[4,5,7,11,13],[4,5,7,11,14],[4,5,7,12,13],[4,5,7,12,14],[4,5,7,13,14],[4,5,8,9,10],[4,5,8,9,11],[4,5,8,9,12],[4,5,8,9,13],[4,5,8,9,14],[4,5,8,10,11],[4,5,8,10,12],[4,5,8,10,13],[4,5,8,10,14],[4,5,8,11,12],[4,5,8,11,13],[4,5,8,11,14],[4,5,8,12,13],[4,5,8,12,14],[4,5,8,13,14],[4,5,9,10,11],[4,5,9,10,12],[4,5,9,10,13],[4,5,9,10,14],[4,5,9,11,12],[4,5,9,11,13],[4,5,9,11,14],[4,5,9,12,13],[4,5,9,12,14],[4,5,9,13,14],[4,5,10,11,12],[4,5,10,11,13],[4,5,10,11,14],[4,5,10,12,13],[4,5,10,12,14],[4,5,10,13,14],[4,5,11,12,13],[4,5,11,12,14],[4,5,11,13,14],[4,5,12,13,14],[4,6,7,8,9],[4,6,7,8,10],[4,6,7,8,11],[4,6,7,8,12],[4,6,7,8,13],[4,6,7,8,14],[4,6,7,9,10],[4,6,7,9,11],[4,6,7,9,12],[4,6,7,9,13],[4,6,7,9,14],[4,6,7,10,11],[4,6,7,10,12],[4,6,7,10,13],[4,6,7,10,14],[4,6,7,11,12],[4,6,7,11,13],[4,6,7,11,14],[4,6,7,12,13],[4,6,7,12,14],[4,6,7,13,14],[4,6,8,9,10],[4,6,8,9,11],[4,6,8,9,12],[4,6,8,9,13],[4,6,8,9,14],[4,6,8,10,11],[4,6,8,10,12],[4,6,8,10,13],[4,6,8,10,14],[4,6,8,11,12],[4,6,8,11,13],[4,6,8,11,14],[4,6,8,12,13],[4,6,8,12,14],[4,6,8,13,14],[4,6,9,10,11],[4,6,9,10,12],[4,6,9,10,13],[4,6,9,10,14],[4,6,9,11,12],[4,6,9,11,13],[4,6,9,11,14],[4,6,9,12,13],[4,6,9,12,14],[4,6,9,13,14],[4,6,10,11,12],[4,6,10,11,13],[4,6,10,11,14],[4,6,10,12,13],[4,6,10,12,14],[4,6,10,13,14],[4,6,11,12,13],[4,6,11,12,14],[4,6,11,13,14],[4,6,12,13,14],[4,7,8,9,10],[4,7,8,9,11],[4,7,8,9,12],[4,7,8,9,13],[4,7,8,9,14],[4,7,8,10,11],[4,7,8,10,12],[4,7,8,10,13],[4,7,8,10,14],[4,7,8,11,12],[4,7,8,11,13],[4,7,8,11,14],[4,7,8,12,13],[4,7,8,12,14],[4,7,8,13,14],[4,7,9,10,11],[4,7,9,10,12],[4,7,9,10,13],[4,7,9,10,14],[4,7,9,11,12],[4,7,9,11,13],[4,7,9,11,14],[4,7,9,12,13],[4,7,9,12,14],[4,7,9,13,14],[4,7,10,11,12],[4,7,10,11,13],[4,7,10,11,14],[4,7,10,12,13],[4,7,10,12,14],[4,7,10,13,14],[4,7,11,12,13],[4,7,11,12,14],[4,7,11,13,14],[4,7,12,13,14],[4,8,9,10,11],[4,8,9,10,12],[4,8,9,10,13],[4,8,9,10,14],[4,8,9,11,12],[4,8,9,11,13],[4,8,9,11,14],[4,8,9,12,13],[4,8,9,12,14],[4,8,9,13,14],[4,8,10,11,12],[4,8,10,11,13],[4,8,10,11,14],[4,8,10,12,13],[4,8,10,12,14],[4,8,10,13,14],[4,8,11,12,13],[4,8,11,12,14],[4,8,11,13,14],[4,8,12,13,14],[4,9,10,11,12],[4,9,10,11,13],[4,9,10,11,14],[4,9,10,12,13],[4,9,10,12,14],[4,9,10,13,14],[4,9,11,12,13],[4,9,11,12,14],[4,9,11,13,14],[4,9,12,13,14],[4,10,11,12,13],[4,10,11,12,14],[4,10,11,13,14],[4,10,12,13,14],[4,11,12,13,14],[5,6,7,8,9],[5,6,7,8,10],[5,6,7,8,11],[5,6,7,8,12],[5,6,7,8,13],[5,6,7,8,14],[5,6,7,9,10],[5,6,7,9,11],[5,6,7,9,12],[5,6,7,9,13],[5,6,7,9,14],[5,6,7,10,11],[5,6,7,10,12],[5,6,7,10,13],[5,6,7,10,14],[5,6,7,11,12],[5,6,7,11,13],[5,6,7,11,14],[5,6,7,12,13],[5,6,7,12,14],[5,6,7,13,14],[5,6,8,9,10],[5,6,8,9,11],[5,6,8,9,12],[5,6,8,9,13],[5,6,8,9,14],[5,6,8,10,11],[5,6,8,10,12],[5,6,8,10,13],[5,6,8,10,14],[5,6,8,11,12],[5,6,8,11,13],[5,6,8,11,14],[5,6,8,12,13],[5,6,8,12,14],[5,6,8,13,14],[5,6,9,10,11],[5,6,9,10,12],[5,6,9,10,13],[5,6,9,10,14],[5,6,9,11,12],[5,6,9,11,13],[5,6,9,11,14],[5,6,9,12,13],[5,6,9,12,14],[5,6,9,13,14],[5,6,10,11,12],[5,6,10,11,13],[5,6,10,11,14],[5,6,10,12,13],[5,6,10,12,14],[5,6,10,13,14],[5,6,11,12,13],[5,6,11,12,14],[5,6,11,13,14],[5,6,12,13,14],[5,7,8,9,10],[5,7,8,9,11],[5,7,8,9,12],[5,7,8,9,13],[5,7,8,9,14],[5,7,8,10,11],[5,7,8,10,12],[5,7,8,10,13],[5,7,8,10,14],[5,7,8,11,12],[5,7,8,11,13],[5,7,8,11,14],[5,7,8,12,13],[5,7,8,12,14],[5,7,8,13,14],[5,7,9,10,11],[5,7,9,10,12],[5,7,9,10,13],[5,7,9,10,14],[5,7,9,11,12],[5,7,9,11,13],[5,7,9,11,14],[5,7,9,12,13],[5,7,9,12,14],[5,7,9,13,14],[5,7,10,11,12],[5,7,10,11,13],[5,7,10,11,14],[5,7,10,12,13],[5,7,10,12,14],[5,7,10,13,14],[5,7,11,12,13],[5,7,11,12,14],[5,7,11,13,14],[5,7,12,13,14],[5,8,9,10,11],[5,8,9,10,12],[5,8,9,10,13],[5,8,9,10,14],[5,8,9,11,12],[5,8,9,11,13],[5,8,9,11,14],[5,8,9,12,13],[5,8,9,12,14],[5,8,9,13,14],[5,8,10,11,12],[5,8,10,11,13],[5,8,10,11,14],[5,8,10,12,13],[5,8,10,12,14],[5,8,10,13,14],[5,8,11,12,13],[5,8,11,12,14],[5,8,11,13,14],[5,8,12,13,14],[5,9,10,11,12],[5,9,10,11,13],[5,9,10,11,14],[5,9,10,12,13],[5,9,10,12,14],[5,9,10,13,14],[5,9,11,12,13],[5,9,11,12,14],[5,9,11,13,14],[5,9,12,13,14],[5,10,11,12,13],[5,10,11,12,14],[5,10,11,13,14],[5,10,12,13,14],[5,11,12,13,14],[6,7,8,9,10],[6,7,8,9,11],[6,7,8,9,12],[6,7,8,9,13],[6,7,8,9,14],[6,7,8,10,11],[6,7,8,10,12],[6,7,8,10,13],[6,7,8,10,14],[6,7,8,11,12],[6,7,8,11,13],[6,7,8,11,14],[6,7,8,12,13],[6,7,8,12,14],[6,7,8,13,14],[6,7,9,10,11],[6,7,9,10,12],[6,7,9,10,13],[6,7,9,10,14],[6,7,9,11,12],[6,7,9,11,13],[6,7,9,11,14],[6,7,9,12,13],[6,7,9,12,14],[6,7,9,13,14],[6,7,10,11,12],[6,7,10,11,13],[6,7,10,11,14],[6,7,10,12,13],[6,7,10,12,14],[6,7,10,13,14],[6,7,11,12,13],[6,7,11,12,14],[6,7,11,13,14],[6,7,12,13,14],[6,8,9,10,11],[6,8,9,10,12],[6,8,9,10,13],[6,8,9,10,14],[6,8,9,11,12],[6,8,9,11,13],[6,8,9,11,14],[6,8,9,12,13],[6,8,9,12,14],[6,8,9,13,14],[6,8,10,11,12],[6,8,10,11,13],[6,8,10,11,14],[6,8,10,12,13],[6,8,10,12,14],[6,8,10,13,14],[6,8,11,12,13],[6,8,11,12,14],[6,8,11,13,14],[6,8,12,13,14],[6,9,10,11,12],[6,9,10,11,13],[6,9,10,11,14],[6,9,10,12,13],[6,9,10,12,14],[6,9,10,13,14],[6,9,11,12,13],[6,9,11,12,14],[6,9,11,13,14],[6,9,12,13,14],[6,10,11,12,13],[6,10,11,12,14],[6,10,11,13,14],[6,10,12,13,14],[6,11,12,13,14],[7,8,9,10,11],[7,8,9,10,12],[7,8,9,10,13],[7,8,9,10,14],[7,8,9,11,12],[7,8,9,11,13],[7,8,9,11,14],[7,8,9,12,13],[7,8,9,12,14],[7,8,9,13,14],[7,8,10,11,12],[7,8,10,11,13],[7,8,10,11,14],[7,8,10,12,13],[7,8,10,12,14],[7,8,10,13,14],[7,8,11,12,13],[7,8,11,12,14],[7,8,11,13,14],[7,8,12,13,14],[7,9,10,11,12],[7,9,10,11,13],[7,9,10,11,14],[7,9,10,12,13],[7,9,10,12,14],[7,9,10,13,14],[7,9,11,12,13],[7,9,11,12,14],[7,9,11,13,14],[7,9,12,13,14],[7,10,11,12,13],[7,10,11,12,14],[7,10,11,13,14],[7,10,12,13,14],[7,11,12,13,14],[8,9,10,11,12],[8,9,10,11,13],[8,9,10,11,14],[8,9,10,12,13],[8,9,10,12,14],[8,9,10,13,14],[8,9,11,12,13],[8,9,11,12,14],[8,9,11,13,14],[8,9,12,13,14],[8,10,11,12,13],[8,10,11,12,14],[8,10,11,13,14],[8,10,12,13,14],[8,11,12,13,14],[9,10,11,12,13],[9,10,11,12,14],[9,10,11,13,14],[9,10,12,13,14],[9,11,12,13,14],[10,11,12,13,14]]
            )
        elif n == 15 and k == 6:
            storage[n][k] = np.array(
                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,9,10,11,13],[3,5,9,10,11,14],[3,5,9,10,12,13],[3,5,9,10,12,14],[3,5,9,10,13,14],[3,5,9,11,12,13],[3,5,9,11,12,14],[3,5,9,11,13,14],[3,5,9,12,13,14],[3,5,10,11,12,13],[3,5,10,11,12,14],[3,5,10,11,13,14],[3,5,10,12,13,14],[3,5,11,12,13,14],[3,6,7,8,9,10],[3,6,7,8,9,11],[3,6,7,8,9,12],[3,6,7,8,9,13],[3,6,7,8,9,14],[3,6,7,8,10,11],[3,6,7,8,10,12],[3,6,7,8,10,13],[3,6,7,8,10,14],[3,6,7,8,11,12],[3,6,7,8,11,13],[3,6,7,8,11,14],[3,6,7,8,12,13],[3,6,7,8,12,14],[3,6,7,8,13,14],[3,6,7,9,10,11],[3,6,7,9,10,12],[3,6,7,9,10,13],[3,6,7,9,10,14],[3,6,7,9,11,12],[3,6,7,9,11,13],[3,6,7,9,11,14],[3,6,7,9,12,13],[3,6,7,9,12,14],[3,6,7,9,13,14],[3,6,7,10,11,12],[3,6,7,10,11,13],[3,6,7,10,11,14],[3,6,7,10,12,13],[3,6,7,10,12,14],[3,6,7,10,13,14],[3,6,7,11,12,13],[3,6,7,11,12,14],[3,6,7,11,13,14],[3,6,7,12,13,14],[3,6,8,9,10,11],[3,6,8,9,10,12],[3,6,8,9,10,13],[3,6,8,9,10,14],[3,6,8,9,11,12],[3,6,8,9,11,13],[3,6,8,9,11,14],[3,6,8,9,12,13],[3,6,8,9,12,14],[3,6,8,9,13,14],[3,6,8,10,11,12],[3,6,8,10,11,13],[3,6,8,10,11,14],[3,6,8,10,12,13],[3,6,8,10,12,14],[3,6,8,10,13,14],[3,6,8,11,12,13],[3,6,8,11,12,14],[3,6,8,11,13,14],[3,6,8,12,13,14],[3,6,9,10,11,12],[3,6,9,10,11,13],[3,6,9,10,11,14],[3,6,9,10,12,13],[3,6,9,10,12,14],[3,6,9,10,13,14],[3,6,9,11,12,13],[3,6,9,11,12,14],[3,6,9,11,13,14],[3,6,9,12,13,14],[3,6,10,11,12,13],[3,6,10,11,12,14],[3,6,10,11,13,14],[3,6,10,12,13,14],[3,6,11,12,13,14],[3,7,8,9,10,11],[3,7,8,9,10,12],[3,7,8,9,10,13],[3,7,8,9,10,14],[3,7,8,9,11,12],[3,7,8,9,11,13],[3,7,8,9,11,14],[3,7,8,9,12,13],[3,7,8,9,12,14],[3,7,8,9,13,14],[3,7,8,10,11,12],[3,7,8,10,11,13],[3,7,8,10,11,14],[3,7,8,10,12,13],[3,7,8,10,12,14],[3,7,8,10,13,14],[3,7,8,11,12,13],[3,7,8,11,12,14],[3,7,8,11,13,14],[3,7,8,12,13,14],[3,7,9,10,11,12],[3,7,9,10,11,13],[3,7,9,10,11,14],[3,7,9,10,12,13],[3,7,9,10,12,14],[3,7,9,10,13,14],[3,7,9,11,12,13],[3,7,9,11,12,14],[3,7,9,11,13,14],[3,7,9,12,13,14],[3,7,10,11,12,13],[3,7,10,11,12,14],[3,7,10,11,13,14],[3,7,10,12,13,14],[3,7,11,12,13,14],[3,8,9,10,11,12],[3,8,9,10,11,13],[3,8,9,10,11,14],[3,8,9,10,12,13],[3,8,9,10,12,14],[3,8,9,10,13,14],[3,8,9,11,12,13],[3,8,9,11,12,14],[3,8,9,11,13,14],[3,8,9,12,13,14],[3,8,10,11,12,13],[3,8,10,11,12,14],[3,8,10,11,13,14],[3,8,10,12,13,14],[3,8,11,12,13,14],[3,9,10,11,12,13],[3,9,10,11,12,14],[3,9,10,11,13,14],[3,9,10,12,13,14],[3,9,11,12,13,14],[3,10,11,12,13,14],[4,5,6,7,8,9],[4,5,6,7,8,10],[4,5,6,7,8,11],[4,5,6,7,8,12],[4,5,6,7,8,13],[4,5,6,7,8,14],[4,5,6,7,9,10],[4,5,6,7,9,11],[4,5,6,7,9,12],[4,5,6,7,9,13],[4,5,6,7,9,14],[4,5,6,7,10,11],[4,5,6,7,10,12],[4,5,6,7,10,13],[4,5,6,7,10,14],[4,5,6,7,11,12],[4,5,6,7,11,13],[4,5,6,7,11,14],[4,5,6,7,12,13],[4,5,6,7,12,14],[4,5,6,7,13,14],[4,5,6,8,9,10],[4,5,6,8,9,11],[4,5,6,8,9,12],[4,5,6,8,9,13],[4,5,6,8,9,14],[4,5,6,8,10,11],[4,5,6,8,10,12],[4,5,6,8,10,13],[4,5,6,8,10,14],[4,5,6,8,11,12],[4,5,6,8,11,13],[4,5,6,8,11,14],[4,5,6,8,12,13],[4,5,6,8,12,14],[4,5,6,8,13,14],[4,5,6,9,10,11],[4,5,6,9,10,12],[4,5,6,9,10,13],[4,5,6,9,10,14],[4,5,6,9,11,12],[4,5,6,9,11,13],[4,5,6,9,11,14],[4,5,6,9,12,13],[4,5,6,9,12,14],[4,5,6,9,13,14],[4,5,6,10,11,12],[4,5,6,10,11,13],[4,5,6,10,11,14],[4,5,6,10,12,13],[4,5,6,10,12,14],[4,5,6,10,13,14],[4,5,6,11,12,13],[4,5,6,11,12,14],[4,5,6,11,13,14],[4,5,6,12,13,14],[4,5,7,8,9,10],[4,5,7,8,9,11],[4,5,7,8,9,12],[4,5,7,8,9,13],[4,5,7,8,9,14],[4,5,7,8,10,11],[4,5,7,8,10,12],[4,5,7,8,10,13],[4,5,7,8,10,14],[4,5,7,8,11,12],[4,5,7,8,11,13],[4,5,7,8,11,14],[4,5,7,8,12,13],[4,5,7,8,12,14],[4,5,7,8,13,14],[4,5,7,9,10,11],[4,5,7,9,10,12],[4,5,7,9,10,13],[4,5,7,9,10,14],[4,5,7,9,11,12],[4,5,7,9,11,13],[4,5,7,9,11,14],[4,5,7,9,12,13],[4,5,7,9,12,14],[4,5,7,9,13,14],[4,5,7,10,11,12],[4,5,7,10,11,13],[4,5,7,10,11,14],[4,5,7,10,12,13],[4,5,7,10,12,14],[4,5,7,10,13,14],[4,5,7,11,12,13],[4,5,7,11,12,14],[4,5,7,11,13,14],[4,5,7,12,13,14],[4,5,8,9,10,11],[4,5,8,9,10,12],[4,5,8,9,10,13],[4,5,8,9,10,14],[4,5,8,9,11,12],[4,5,8,9,11,13],[4,5,8,9,11,14],[4,5,8,9,12,13],[4,5,8,9,12,14],[4,5,8,9,13,14],[4,5,8,10,11,12],[4,5,8,10,11,13],[4,5,8,10,11,14],[4,5,8,10,12,13],[4,5,8,10,12,14],[4,5,8,10,13,14],[4,5,8,11,12,13],[4,5,8,11,12,14],[4,5,8,11,13,14],[4,5,8,12,13,14],[4,5,9,10,11,12],[4,5,9,10,11,13],[4,5,9,10,11,14],[4,5,9,10,12,13],[4,5,9,10,12,14],[4,5,9,10,13,14],[4,5,9,11,12,13],[4,5,9,11,12,14],[4,5,9,11,13,14],[4,5,9,12,13,14],[4,5,10,11,12,13],[4,5,10,11,12,14],[4,5,10,11,13,14],[4,5,10,12,13,14],[4,5,11,12,13,14],[4,6,7,8,9,10],[4,6,7,8,9,11],[4,6,7,8,9,12],[4,6,7,8,9,13],[4,6,7,8,9,14],[4,6,7,8,10,11],[4,6,7,8,10,12],[4,6,7,8,10,13],[4,6,7,8,10,14],[4,6,7,8,11,12],[4,6,7,8,11,13],[4,6,7,8,11,14],[4,6,7,8,12,13],[4,6,7,8,12,14],[4,6,7,8,13,14],[4,6,7,9,10,11],[4,6,7,9,10,12],[4,6,7,9,10,13],[4,6,7,9,10,14],[4,6,7,9,11,12],[4,6,7,9,11,13],[4,6,7,9,11,14],[4,6,7,9,12,13],[4,6,7,9,12,14],[4,6,7,9,13,14],[4,6,7,10,11,12],[4,6,7,10,11,13],[4,6,7,10,11,14],[4,6,7,10,12,13],[4,6,7,10,12,14],[4,6,7,10,13,14],[4,6,7,11,12,13],[4,6,7,11,12,14],[4,6,7,11,13,14],[4,6,7,12,13,14],[4,6,8,9,10,11],[4,6,8,9,10,12],[4,6,8,9,10,13],[4,6,8,9,10,14],[4,6,8,9,11,12],[4,6,8,9,11,13],[4,6,8,9,11,14],[4,6,8,9,12,13],[4,6,8,9,12,14],[4,6,8,9,13,14],[4,6,8,10,11,12],[4,6,8,10,11,13],[4,6,8,10,11,14],[4,6,8,10,12,13],[4,6,8,10,12,14],[4,6,8,10,13,14],[4,6,8,11,12,13],[4,6,8,11,12,14],[4,6,8,11,13,14],[4,6,8,12,13,14],[4,6,9,10,11,12],[4,6,9,10,11,13],[4,6,9,10,11,14],[4,6,9,10,12,13],[4,6,9,10,12,14],[4,6,9,10,13,14],[4,6,9,11,12,13],[4,6,9,11,12,14],[4,6,9,11,13,14],[4,6,9,12,13,14],[4,6,10,11,12,13],[4,6,10,11,12,14],[4,6,10,11,13,14],[4,6,10,12,13,14],[4,6,11,12,13,14],[4,7,8,9,10,11],[4,7,8,9,10,12],[4,7,8,9,10,13],[4,7,8,9,10,14],[4,7,8,9,11,12],[4,7,8,9,11,13],[4,7,8,9,11,14],[4,7,8,9,12,13],[4,7,8,9,12,14],[4,7,8,9,13,14],[4,7,8,10,11,12],[4,7,8,10,11,13],[4,7,8,10,11,14],[4,7,8,10,12,13],[4,7,8,10,12,14],[4,7,8,10,13,14],[4,7,8,11,12,13],[4,7,8,11,12,14],[4,7,8,11,13,14],[4,7,8,12,13,14],[4,7,9,10,11,12],[4,7,9,10,11,13],[4,7,9,10,11,14],[4,7,9,10,12,13],[4,7,9,10,12,14],[4,7,9,10,13,14],[4,7,9,11,12,13],[4,7,9,11,12,14],[4,7,9,11,13,14],[4,7,9,12,13,14],[4,7,10,11,12,13],[4,7,10,11,12,14],[4,7,10,11,13,14],[4,7,10,12,13,14],[4,7,11,12,13,14],[4,8,9,10,11,12],[4,8,9,10,11,13],[4,8,9,10,11,14],[4,8,9,10,12,13],[4,8,9,10,12,14],[4,8,9,10,13,14],[4,8,9,11,12,13],[4,8,9,11,12,14],[4,8,9,11,13,14],[4,8,9,12,13,14],[4,8,10,11,12,13],[4,8,10,11,12,14],[4,8,10,11,13,14],[4,8,10,12,13,14],[4,8,11,12,13,14],[4,9,10,11,12,13],[4,9,10,11,12,14],[4,9,10,11,13,14],[4,9,10,12,13,14],[4,9,11,12,13,14],[4,10,11,12,13,14],[5,6,7,8,9,10],[5,6,7,8,9,11],[5,6,7,8,9,12],[5,6,7,8,9,13],[5,6,7,8,9,14],[5,6,7,8,10,11],[5,6,7,8,10,12],[5,6,7,8,10,13],[5,6,7,8,10,14],[5,6,7,8,11,12],[5,6,7,8,11,13],[5,6,7,8,11,14],[5,6,7,8,12,13],[5,6,7,8,12,14],[5,6,7,8,13,14],[5,6,7,9,10,11],[5,6,7,9,10,12],[5,6,7,9,10,13],[5,6,7,9,10,14],[5,6,7,9,11,12],[5,6,7,9,11,13],[5,6,7,9,11,14],[5,6,7,9,12,13],[5,6,7,9,12,14],[5,6,7,9,13,14],[5,6,7,10,11,12],[5,6,7,10,11,13],[5,6,7,10,11,14],[5,6,7,10,12,13],[5,6,7,10,12,14],[5,6,7,10,13,14],[5,6,7,11,12,13],[5,6,7,11,12,14],[5,6,7,11,13,14],[5,6,7,12,13,14],[5,6,8,9,10,11],[5,6,8,9,10,12],[5,6,8,9,10,13],[5,6,8,9,10,14],[5,6,8,9,11,12],[5,6,8,9,11,13],[5,6,8,9,11,14],[5,6,8,9,12,13],[5,6,8,9,12,14],[5,6,8,9,13,14],[5,6,8,10,11,12],[5,6,8,10,11,13],[5,6,8,10,11,14],[5,6,8,10,12,13],[5,6,8,10,12,14],[5,6,8,10,13,14],[5,6,8,11,12,13],[5,6,8,11,12,14],[5,6,8,11,13,14],[5,6,8,12,13,14],[5,6,9,10,11,12],[5,6,9,10,11,13],[5,6,9,10,11,14],[5,6,9,10,12,13],[5,6,9,10,12,14],[5,6,9,10,13,14],[5,6,9,11,12,13],[5,6,9,11,12,14],[5,6,9,11,13,14],[5,6,9,12,13,14],[5,6,10,11,12,13],[5,6,10,11,12,14],[5,6,10,11,13,14],[5,6,10,12,13,14],[5,6,11,12,13,14],[5,7,8,9,10,11],[5,7,8,9,10,12],[5,7,8,9,10,13],[5,7,8,9,10,14],[5,7,8,9,11,12],[5,7,8,9,11,13],[5,7,8,9,11,14],[5,7,8,9,12,13],[5,7,8,9,12,14],[5,7,8,9,13,14],[5,7,8,10,11,12],[5,7,8,10,11,13],[5,7,8,10,11,14],[5,7,8,10,12,13],[5,7,8,10,12,14],[5,7,8,10,13,14],[5,7,8,11,12,13],[5,7,8,11,12,14],[5,7,8,11,13,14],[5,7,8,12,13,14],[5,7,9,10,11,12],[5,7,9,10,11,13],[5,7,9,10,11,14],[5,7,9,10,12,13],[5,7,9,10,12,14],[5,7,9,10,13,14],[5,7,9,11,12,13],[5,7,9,11,12,14],[5,7,9,11,13,14],[5,7,9,12,13,14],[5,7,10,11,12,13],[5,7,10,11,12,14],[5,7,10,11,13,14],[5,7,10,12,13,14],[5,7,11,12,13,14],[5,8,9,10,11,12],[5,8,9,10,11,13],[5,8,9,10,11,14],[5,8,9,10,12,13],[5,8,9,10,12,14],[5,8,9,10,13,14],[5,8,9,11,12,13],[5,8,9,11,12,14],[5,8,9,11,13,14],[5,8,9,12,13,14],[5,8,10,11,12,13],[5,8,10,11,12,14],[5,8,10,11,13,14],[5,8,10,12,13,14],[5,8,11,12,13,14],[5,9,10,11,12,13],[5,9,10,11,12,14],[5,9,10,11,13,14],[5,9,10,12,13,14],[5,9,11,12,13,14],[5,10,11,12,13,14],[6,7,8,9,10,11],[6,7,8,9,10,12],[6,7,8,9,10,13],[6,7,8,9,10,14],[6,7,8,9,11,12],[6,7,8,9,11,13],[6,7,8,9,11,14],[6,7,8,9,12,13],[6,7,8,9,12,14],[6,7,8,9,13,14],[6,7,8,10,11,12],[6,7,8,10,11,13],[6,7,8,10,11,14],[6,7,8,10,12,13],[6,7,8,10,12,14],[6,7,8,10,13,14],[6,7,8,11,12,13],[6,7,8,11,12,14],[6,7,8,11,13,14],[6,7,8,12,13,14],[6,7,9,10,11,12],[6,7,9,10,11,13],[6,7,9,10,11,14],[6,7,9,10,12,13],[6,7,9,10,12,14],[6,7,9,10,13,14],[6,7,9,11,12,13],[6,7,9,11,12,14],[6,7,9,11,13,14],[6,7,9,12,13,14],[6,7,10,11,12,13],[6,7,10,11,12,14],[6,7,10,11,13,14],[6,7,10,12,13,14],[6,7,11,12,13,14],[6,8,9,10,11,12],[6,8,9,10,11,13],[6,8,9,10,11,14],[6,8,9,10,12,13],[6,8,9,10,12,14],[6,8,9,10,13,14],[6,8,9,11,12,13],[6,8,9,11,12,14],[6,8,9,11,13,14],[6,8,9,12,13,14],[6,8,10,11,12,13],[6,8,10,11,12,14],[6,8,10,11,13,14],[6,8,10,12,13,14],[6,8,11,12,13,14],[6,9,10,11,12,13],[6,9,10,11,12,14],[6,9,10,11,13,14],[6,9,10,12,13,14],[6,9,11,12,13,14],[6,10,11,12,13,14],[7,8,9,10,11,12],[7,8,9,10,11,13],[7,8,9,10,11,14],[7,8,9,10,12,13],[7,8,9,10,12,14],[7,8,9,10,13,14],[7,8,9,11,12,13],[7,8,9,11,12,14],[7,8,9,11,13,14],[7,8,9,12,13,14],[7,8,10,11,12,13],[7,8,10,11,12,14],[7,8,10,11,13,14],[7,8,10,12,13,14],[7,8,11,12,13,14],[7,9,10,11,12,13],[7,9,10,11,12,14],[7,9,10,11,13,14],[7,9,10,12,13,14],[7,9,11,12,13,14],[7,10,11,12,13,14],[8,9,10,11,12,13],[8,9,10,11,12,14],[8,9,10,11,13,14],[8,9,10,12,13,14],[8,9,11,12,13,14],[8,10,11,12,13,14],[9,10,11,12,13,14]]
            )
        else:
            print(
                """
                n={} and k={} not supported by acceleration.
                Choose n=15 and k=1...6 for speed-up.""".format(n, k)
                )
            from itertools import combinations
            # Cannot use pre-calculated values
            sat_combinations = combinations(iter(np.arange(n)), k)
            storage[n][k] = np.array([*sat_combinations])
    return storage[n][k]