qha = { "q1": "Import the numpy package under the name `np` (★☆☆)", "h1": "hint: import … as ", "a1": """ import numpy as np """, "q2": "Print the numpy version and the configuration (★☆☆)", "h2": "hint: np.__version__, np.show_config)", "a2": """ """, "q3": "Create a null vector of size 10 (★☆☆)", "h3": "hint: np.zeros", "a3": """ """, "q4": "How to find the memory size of any array (★☆☆)", "h4": "hint: size, itemsize", "a4": """ """, "q5": "How to get the documentation of the numpy add function from the command line? (★☆☆)", "h5": "hint: np.info", "a5": """ """, "q6": "Create a null vector of size 10 but the fifth value which is 1 (★☆☆)", "h6": "hint: array[4]", "a6": """ """, "q7": "Create a vector with values ranging from 10 to 49 (★☆☆)", "h7": "hint: arange", "a7": """ """, "q8": "Reverse a vector (first element becomes last) (★☆☆)", "h8": "hint: array[::-1]", "a8": """ """, "q9": "Create a 3x3 matrix with values ranging from 0 to 8 (★☆☆)", "h9": "hint: reshape", "a9": """ """, "q10": "Find indices of non-zero elements from [1,2,0,0,4,0] (★☆☆)", "h10": "hint: np.nonzero", "a10": """ """, "q11": "Create a 3x3 identity matrix (★☆☆)", "h11": "hint: np.eye", "a11": """ """, "q12": "Create a 3x3x3 array with random values (★☆☆)", "h12": "hint: np.random.random", "a12": """ """, "q13": "Create a 10x10 array with random values and find the minimum and maximum values (★☆☆)", "h13": "hint: min, max", "a13": """ """, "q14": "Create a random vector of size 30 and find the mean value (★☆☆)", "h14": "hint: mean", "a14": """ """, "q15": "Create a 2d array with 1 on the border and 0 inside (★☆☆)", "h15": "hint: array[1:-1, 1:-1]", "a15": """ """, "q16": "How to add a border (filled with 0's) around an existing array? (★☆☆)", "h16": "hint: np.pad", "a16": """ """, "q17": """ What is the result of the following expression? (★☆☆)" ```python 0 * np.nan np.nan == np.nan np.inf > np.nan np.nan - np.nan np.nan in set([np.nan]) # 0.3 == 3 * 0.1 # ```""", "h17": "hint: NaN = not a number, inf = infinity", "a17": """ """, "q18": "Create a 5x5 matrix with values 1,2,3,4 just below the diagonal (★☆☆)", "h18": "hint: np.diag", "a18": """ """, "q19": "Create a 8x8 matrix and fill it with a checkerboard pattern (★☆☆)", "h19": "hint: array[::2]", "a19": """ """, "q20": "Consider a (6,7,8) shape array, what is the index (x,y,z) of the 100th element?", "h20": "hint: np.unravel_index", "a20": """ """, "q21": "Create a checkerboard 8x8 matrix using the tile function (★☆☆)", "h21": "hint: np.tile", "a21": """ """, "q22": "Normalize a 5x5 random matrix (★☆☆)", "h22": "hint: (x -mean)/std", "a22": """ """, "q23": "Create a custom dtype that describes a color as four unsigned bytes (RGBA) (★☆☆)", "h23": "hint: np.dtype", "a23": """ """, "q24": "Multiply a 5x3 matrix by a 3x2 matrix (real matrix product) (★☆☆)", "h24": "hint: ", "a24": """ """, "q25": "Given a 1D array, negate all elements which are between 3 and 8, in place. (★☆☆)", "h25": "hint: >, <=", "a25": """ """, "q26": """ What is the output of the following script? (★☆☆) ```python # Author: Jake VanderPlas print(sum(range(5),-1)) from numpy import * print(sum(range(5),-1)) ``` """, "h26": "hint: np.sum", "a26": """ """, "q27": """ Consider an integer vector Z, which of these expressions are legal? (★☆☆) ```python Z**Z 2 << Z >> 2 Z <- Z 1j*Z Z/1/1 ZZ ```""", "h27": "No hints provided...", "a27": """ """, "q28": """ What are the result of the following expressions? ```python np.array(0) / np.array(0) np.array(0) // np.array(0) np.array([np.nan]).astype(int).astype(float) ``` """, "h28": "No hints provided... ", "a28": """ """, "q29": "How to round away from zero a float array ? (★☆☆)", "h29": "hint: np.uniform, np.copysign, np.ceil, np.abs", "a29": """ """, "q30": "How to find common values between two arrays? (★☆☆)", "h30": "hint: np.intersect1d", "a30": """ """, "q31": "How to ignore all numpy warnings (not recommended)? (★☆☆)", "h31": "hint: np.seterr, np.errstate", "a31": """ """, "q32": """ Is the following expressions true? (★☆☆) ```python np.sqrt(-1) == np.emath.sqrt(-1) ``` """, "h32": "hint: imaginary number", "a32": """ """, "q33": "How to get the dates of yesterday, today and tomorrow? (★☆☆)", "h33": "hint: np.datetime64, np.timedelta64", "a33": """ """, "q34": "How to get all the dates corresponding to the month of July 2016? (★★☆)", "h34": "hint: np.arange(dtype=datetime64['D'])", "a34": """ """, "q35": "How to compute ((A+B)*(-A/2)) in place (without copy)? (★★☆)", "h35": "hint: np.add(out=), np.negative(out=), np.multiply(out=), np.divide(out=)", "a35": """ """, "q36": "Extract the integer part of a random array using 5 different methods (★★☆)", "h36": "hint: %, np.floor, np.ceil, astype, np.trunc", "a36": """ """, "q37": "Create a 5x5 matrix with row values ranging from 0 to 4 (★★☆)", "h37": "hint: np.arange", "a37": """ """, "q38": "Consider a generator function that generates 10 integers and use it to build an array (★☆☆)", "h38": "hint: np.fromiter", "a38": """ """, "q39": "Create a vector of size 10 with values ranging from 0 to 1, both excluded (★★☆)", "h39": "hint: np.linspace", "a39": """ """, "q40": "Create a random vector of size 10 and sort it (★★☆)", "h40": "hint: sort", "a40": """ """, "q41": "How to sum a small array faster than np.sum? (★★☆)", "h41": "hint: np.add.reduce", "a41": """ """, "q42": "Consider two random array A and B, check if they are equal (★★☆)", "h42": "hint: np.allclose, np.array_equal", "a42": """ """, "q43": "Make an array immutable (read-only) (★★☆)", "h43": "hint: flags.writeable", "a43": """ """, "q44": "Consider a random 10x2 matrix representing cartesian coordinates, convert them to polar coordinates (★★☆)", "h44": "hint: np.sqrt, np.arctan2", "a44": """ """, "q45": "Create random vector of size 10 and replace the maximum value by 0 (★★☆)", "h45": "hint: argmax", "a45": """ """, "q46": "Create a structured array with `x` and `y` coordinates covering the [0,1]x[0,1] area (★★☆)", "h46": "hint: np.meshgrid", "a46": """ """, "q47": "Given two arrays, X and Y, construct the Cauchy matrix C (Cij =1/(xi - yj))", "h47": "hint: np.subtract.outer", "a47": """ """, "q48": "Print the minimum and maximum representable value for each numpy scalar type (★★☆)", "h48": "hint: np.iinfo, np.finfo, eps", "a48": """ """, "q49": "How to print all the values of an array? (★★☆)", "h49": "hint: np.set_printoptions", "a49": """ """, "q50": "How to find the closest value (to a given scalar) in a vector? (★★☆)", "h50": "hint: argmin", "a50": """ """, "q51": "Create a structured array representing a position (x,y) and a color (r,g,b) (★★☆)", "h51": "hint: dtype", "a51": """ """, "q52": "Consider a random vector with shape (100,2) representing coordinates, find point by point distances (★★☆)", "h52": "hint: np.atleast_2d, T, np.sqrt", "a52": """ """, "q53": "How to convert a float (32 bits) array into an integer (32 bits) in place?", "h53": "hint: astype(copy=False)", "a53": """ """, "q54": """ How to read the following file? (★★☆) ``` 1, 2, 3, 4, 5 6, , , 7, 8 , , 9,10,11 ``` """, "h54": "hint: np.genfromtxt", "a54": """ """, "q55": "What is the equivalent of enumerate for numpy arrays? (★★☆)", "h55": "hint: np.ndenumerate, np.ndindex", "a55": """ """, "q56": "Generate a generic 2D Gaussian-like array (★★☆)", "h56": "hint: np.meshgrid, np.exp", "a56": """ """, "q57": "How to randomly place p elements in a 2D array? (★★☆)", "h57": "hint: np.put, np.random.choice", "a57": """ """, "q58": "Subtract the mean of each row of a matrix (★★☆)", "h58": "hint: mean(axis=,keepdims=)", "a58": """ """, "q59": "How to sort an array by the nth column? (★★☆)", "h59": "hint: argsort", "a59": """ """, "q60": "How to tell if a given 2D array has null columns? (★★☆)", "h60": "hint: any, ~", "a60": """ """, "q61": "Find the nearest value from a given value in an array (★★☆)", "h61": "hint: np.abs, argmin, flat", "a61": """ """, "q62": "Considering two arrays with shape (1,3) and (3,1), how to compute their sum using an iterator? (★★☆)", "h62": "hint: np.nditer", "a62": """ """, "q63": "Create an array class that has a name attribute (★★☆)", "h63": "hint: class method", "a63": """ """, "q64": "Consider a given vector, how to add 1 to each element indexed by a second vector " "(be careful with repeated indices)? (★★★)", "h64": "hint: np.bincount | np.add.at", "a64": """ """, "q65": "How to accumulate elements of a vector (X) to an array (F) based on an index list (I)? (★★★)", "h65": "hint: np.bincount", "a65": """ """, "q66": "Considering a (w,h,3) image of (dtype=ubyte), compute the number of unique colors (★★★)", "h66": "hint: np.unique", "a66": """ """, "q67": "Considering a four dimensions array, how to get sum over the last two axis at once? (★★★)", "h67": "hint: sum(axis=(-2,-1))", "a67": """ """, "q68": "Considering a one-dimensional vector D, how to compute means of subsets of D using a vector S " "of same size describing subset indices? (★★★)", "h68": "hint: np.bincount", "a68": """ """, "q69": "How to get the diagonal of a dot product? (★★★)", "h69": "hint: np.diag", "a69": """ """, "q70": "Consider the vector [1, 2, 3, 4, 5], how to build a new vector with 3 consecutive " "zeros interleaved between each value? (★★★)", "h70": "hint: array[::4]", "a70": """ """, "q71": "Consider an array of dimension (5,5,3), how to mulitply it by an array with dimensions (5,5)? (★★★)", "h71": "hint: array[:, :, None]", "a71": """ """, "q72": "How to swap two rows of an array? (★★★)", "h72": "hint: array[[]] = array[[]]", "a72": """ """, "q73": "Consider a set of 10 triplets describing 10 triangles (with shared vertices), find the " "set of unique line segments composing all the triangles (★★★)", "h73": "hint: repeat, np.roll, np.sort, view, np.unique", "a73": """ """, "q74": "Given an array C that is a bincount, how to produce an array A such that np.bincount(A) == C? (★★★)", "h74": "hint: np.repeat", "a74": """ """, "q75": "How to compute averages using a sliding window over an array? (★★★)", "h75": "hint: np.cumsum", "a75": """ """, "q76": "Consider a one-dimensional array Z, build a two-dimensional array whose first row is " "(Z[0],Z[1],Z[2]) and each subsequent row is shifted by 1 (last row should be " "(Z[-3],Z[-2],Z[-1]) (★★★)", "h76": "hint: from numpy.lib import stride_tricks", "a76": """ """, "q77": "How to negate a boolean, or to change the sign of a float inplace? (★★★)", "h77": "hint: np.logical_not, np.negative", "a77": """ """, "q78": "Consider 2 sets of points P0,P1 describing lines (2d) and a point p, how to compute " "distance from p to each line i (P0[i],P1[i])? (★★★)", "h78": "No hints provided...", "a78": """ """, "q79": "Consider 2 sets of points P0,P1 describing lines (2d) and a set of points P, how to " "compute distance from each point j (P[j]) to each line i (P0[i],P1[i])? (★★★)", "h79": "No hints provided...", "a79": """ """, "q80": "Consider an arbitrary array, write a function that extract a subpart with a fixed " "shape and centered on a given element (pad with a `fill` value when necessary) (★★★)", "h80": "hint: minimum maximum", "a80": """ """, "q81": "Consider an array Z = [1,2,3,4,5,6,7,8,9,10,11,12,13,14], how to " "generate an array R = [[1,2,3,4], [2,3,4,5], [3,4,5,6], ..., [11,12,13,14]]? (★★★)", "h81": "hint: stride_tricks.as_strided", "a81": """ """, "q82": "Compute a matrix rank (★★★) ", "h82": "hint: np.linalg.svd", "a82": """ """, "q83": "How to find the most frequent value in an array?", "h83": "hint: np.bincount, argmax", "a83": """ """, "q84": "Extract all the contiguous 3x3 blocks from a random 10x10 matrix (★★★)", "h84": "hint: stride_tricks.as_strided", "a84": """ """, "q85": "Create a 2D array subclass such that Z[i,j] == Z[j,i] (★★★)", "h85": "hint: class method", "a85": """ """, "q86": "Consider a set of p matrices wich shape (n,n) and a set of p vectors with shape (n,1). " "How to compute the sum of of the p matrix products at once? (result has shape (n,1)) (★★★)", "h86": "hint: np.tensordot", "a86": """ """, "q87": "Consider a 16x16 array, how to get the block-sum (block size is 4x4)? (★★★)", "h87": "hint: np.add.reduceat", "a87": """ """, "q88": "How to implement the Game of Life using numpy arrays? (★★★)", "h88": "No hints provided... ", "a88": """ """, "q89": "How to get the n largest values of an array (★★★)", "h89": "hint: np.argsort | np.argpartition", "a89": """ """, "q90": "Given an arbitrary number of vectors, build the cartesian product " "(every combinations of every item) (★★★)", "h90": "hint: np.indices", "a90": """ """, "q91": "How to create a record array from a regular array? (★★★)", "h91": "hint: np.core.records.fromarrays", "a91": """ """, "q92": "Consider a large vector Z, compute Z to the power of 3 using 3 different methods (★★★)", "h92": "hint: np.power, *, np.einsum", "a92": """ """, "q93": "Consider two arrays A and B of shape (8,3) and (2,2). How to find rows of A " "that contain elements of each row of B regardless of the order of the elements in B? (★★★)", "h93": "hint: np.where", "a93": """ """, "q94": "Considering a 10x3 matrix, extract rows with unequal values (e.g. [2,2,3]) (★★★)", "h94": "No hints provided...", "a94": """ """, "q95": "Convert a vector of ints into a matrix binary representation (★★★)", "h95": "hint: np.unpackbits", "a95": """ """, "q96": "Given a two dimensional array, how to extract unique rows? (★★★)", "h96": "hint: np.ascontiguousarray | np.unique", "a96": """ """, "q97": "Considering 2 vectors A & B, write the einsum equivalent of inner, outer, sum, and mul function (★★★)", "h97": "hint: np.einsum", "a97": """ """, "q98": "Considering a path described by two vectors (X,Y), how to sample it using equidistant samples (★★★)?", "h98": "hint: np.cumsum, np.interp ", "a98": """ """, "q99": "Given an integer n and a 2D array X, select from X the rows which can be interpreted as draws " "from a multinomial distribution with n degrees, i.e., the rows which only contain integers " "and which sum to n. (★★★)", "h99": "hint: np.logical_and.reduce, np.mod", "a99": """ """, "q100": "Compute bootstrapped 95% confidence intervals for the mean of a 1D array X (i.e., " "resample the elements of an array with replacement N times, compute the mean of " "each sample, and then compute percentiles over the means). (★★★)", "h100": "hint: np.percentile", "a100": """ """, }