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C++ program to find smallest and largest number of children in game before start

Arnab Chakraborty
Arnab Chakraborty
Updated on 03-Mar-2022 251 Views

Suppose we have an array A with K number of elements. Consider, in a game there are N players and a game master is there. This game has K rounds. In ith round game master announces to form groups with A[i] number of children. Then the remaining children form as many groups of A[i] children as possible. One child cannot take part into multiple groups. Those who are left without a group leave the game. The others proceed to the next round. A round may have with no player loss. In the end, after the K-th round, there are exactly ...

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Generate a Hermite series with given roots in Python

AmitDiwan
AmitDiwan
Updated on 03-Mar-2022 167 Views

To generate a Hermite series with given roots, use the hermite.hermfromroots() method in Python Numpy. The method returns a 1-D array of coefficients. If all roots are real then out is a real array, if some of the roots are complex, then out is complex even if all the coefficients in the result are real. The parameter roots are the sequence containing the roots.StepsAt first, import the required library −import numpy as np from numpy.polynomial import hermite as HTo generate a Hermite series with given roots, use the hermite.hermfromroots() method in Python Numpy −print("Result...", H.hermfromroots((-1, 0, 1)))Get the datatype −print("Type...", ...

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C++ program to find number of l-r pairs for which XORed results same as summation

Arnab Chakraborty
Arnab Chakraborty
Updated on 03-Mar-2022 158 Views

Suppose we have an array A with N elements. We have to find the number of pairs of integers l and r that satisfies A[l] XOR A[l+1] XOR ... XOR A[r-1] XOR A[r] = A[l] + A[l+1] + ... A[r].So, if the input is like A = [2, 5, 4, 6], then the output will be 5, because for pairs (1,1), (2,2), (3,3), (4,4) and (1,2).StepsTo solve this, we will follow these steps −n := size of A Define some arrays of size (n + 1) each, a, s and sx for initialize i := 1, when i

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C++ program to find how many characters should be rearranged to order string in sorted form

Arnab Chakraborty
Arnab Chakraborty
Updated on 03-Mar-2022 223 Views

Suppose we have a string S with n characters. S contains lowercase letters only. We must select a number k in range 0 to n, then select k characters from S and permute them in any order. In this process, the remaining characters will remain unchanged. We perform this whole operation exactly once. We have to find the value of k, for which S becomes sorted in alphabetical order.So, if the input is like S = "acdb", then the output will be 3, because 'a' is at the correct place and remaining characters should be rearranged.StepsTo solve this, we will ...

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C++ program to count how many minutes we have to wait to meet at least one swimmer

Arnab Chakraborty
Arnab Chakraborty
Updated on 03-Mar-2022 262 Views

Suppose we have four numbers p, a, b and c. There is a pool and three swimmers are there. They take a, b and c minutes to cross the pool and come back, respectively. So the first swimmer will be at the left side of pool after 0, a, 2a, 3a, ... minutes after the start time. The second will be at 0, b, 2b, 3b, ... minutes and for the third one 0, c, 2c, 3c, ... If we visit the pool after p minutes they have started swimming we have to find how much time we have to ...

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Integrate a Chebyshev series over specific axis in Python

AmitDiwan
AmitDiwan
Updated on 03-Mar-2022 198 Views

To Integrate a Chebyshev series, use the chebyshev.chebint() method in Python. Returns the Chebyshev series coefficients c integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant, k, is added. The 1st parameter, c is an array of Chebyshev series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index.The 2nd parameter, m is an order of integration, must be positive. (Default: 1). The 3rd parameter, k is an Integration constant(s). The value of the first ...

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Integrate a Hermite series over axis 0 in Python

AmitDiwan
AmitDiwan
Updated on 03-Mar-2022 210 Views

To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index. The 2nd parameter, m is an order of integration, must be positive. (Default: 1)The 3rd parameter, k is an integration constant(s). The value of the first integral at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), all ...

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Evaluate a 2-D Laguerre series on the Cartesian product of x and y with 1d array of coefficient in Python

AmitDiwan
AmitDiwan
Updated on 03-Mar-2022 162 Views

To evaluate a 2-D Laguerre series on the Cartesian product of x and y, use the polynomial.laguerre.laggrid2d() method in Python. The method returns the values of the two dimensional Laguerre series at points in the Cartesian product of x and y.If c has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape + y.shape. The 1st parameter, x, y is the two dimensional series is evaluated at the points in the Cartesian product of x and y. If x or y is a list ...

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C++ program to check we can rearrange array in such a way that given formula returns m or not

Arnab Chakraborty
Arnab Chakraborty
Updated on 03-Mar-2022 153 Views

Suppose we have an array A with n elements and another number m. We have to check whether we can rearrange the array in such a way that$$\mathrm{\sum_{i=1}^{n} \sum_{j=1}^{n}\frac{A[j]}{j} = m}$$There will be no rounding in A[j]/j operation.So, if the input is like A = [2, 5, 1]; m = 8, then the output will be True, because for the arrangement of [1, 2, 5], (1/1 + 2/2 + 5/3) + (2/2 + 5/3) + (5/3) = 8stepsTo solve this, we will follow these steps −sum := 0 n := size of A for initialize i := 0, when i ...

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Integrate a Hermite series and multiply the result by a scalar before the integration constant is added in Python

AmitDiwan
AmitDiwan
Updated on 03-Mar-2022 222 Views

To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index. The 2nd parameter, m is an order of integration, must be positive. (Default: 1). The 3rd parameter, k is an integration constant(s). The value of the first integral at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), ...

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