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# Athi

### Amrita Vishwa Vidyapeetham

2 049 total contributions since 2009

Born Again

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Count digits
Count total number of digits from 1 to n. * n=13 * output=17 since from [1-9] total 9 digits.[10-13] total 4*2=8 digits.

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Last non-zero digit
Given a number n, find the last non-zero digit of the factorial of that number. You need to take care of the large values of n....

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Do they touch?
The center and radius of two circles are given. Determine whether they touch.

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Area-06
The length of the side of a square is given. Draw 4 quarter-circles inside the square from 4 corners with a radius equal to t...

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Area-04
The dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent ...

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Area-03
There are two circles of equal size are inscribed inside a square. They are tangent to each other. <https://serving.photos.ph...

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Area-02
Given the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner. ...

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Area-01
Given the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square. ...

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Take it out
Consider the integer number sequence N (1 to infinity). After each iteration, take out the (k+1)th elements; where k is the n...

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Ugly numbers - 03
For this case, a number is defined ugly if it has prime factors consisting of only elements of x. Find the nth ugly number. ...

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Ugly numbers - 02
Ugly numbers are those whose prime factors are 2, 3 or 5. find the nth ugly number. n.b. unlike the previous problem,trivi...

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Ugly numbers - 01
Ugly numbers are those whose prime factors are 2, 3 or 5. find the nth ugly number.

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How many Christmas presents under the tree?
For many families at Christmas, each family member gives 1 present to every other family member. The main exception is that chil...

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Question 1
Implement a function named q1 with one input argument named n. This function should return the multiplication of all odd numbers...

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Queen's move
given a number of consecutive moves of queen, check for their validity based on their previous position.... but remember if u g...

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generate the matrix
given 3 inputs e.g [2,3,4] -- generate a matrix like below -- [2 2 0 0 0 0 0 0 0; 2 2 0 0 0 0 0 0 0; 0 0 3 3 3 0 0 0 0; 0 0...

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Calculating large fibonacci numbers
The fibonacci sequence starts 1,1,2,3,5,8... Find the the n'th fibonacci number. Then calculate round(log10( . )) of that n't...

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Generate Golomb's sequence
Generate Golomb's sequence up to the given number. If n=4, then seq = [1, 2, 2, 3, 3, 4, 4, 4] If n=6, then s...

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Put m balls into n boxes
Can you find all the cases where, if I put 3 balls into 2 boxes the case is 1 1 1 1 1 2 1...

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Next lexicographic - permutation
Find next lexicographic - permutation (permutations as it would occur in a dictionary order). E.g: nextP('ABCD') = ABDC I...

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N-th permutation.
Let write some permutations of positive integers. 1: 1 2 3 4 5 6 ... 2: 2 1 3 4 ... 3: 1 3 2 4 ... ...

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Find edges from a vertex
First input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is ...

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Find triangles from edge
First input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) ...

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Remove duplicated triangles
Input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a correspondi...

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wythoff sequence
find the lower wythoff sequence upto n; https://oeis.org/A000201

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Bell Triangle
Form the bell triangle upto nth bell number posotion; if n=5, then y= [1 0 0 0 0; 1 2 0 0 ...

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generate the matrix
given a value n (say 4) - generate the matrix like below; y= [0 1 2 3 4; -1 0 1 2 3; ...

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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..

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