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Easy Sequences 64: Base-14 Arithmetic Function
For an integer , the base-14 arithmetic function, , is defined as follows: Convert to base-14, using the letters '' for digits...
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Easy Sequences 63: Base-63 Arithmetic Functions
In this exercise we are required to implement 7 basic 'unsigned integer' arithmetic functions in base-63: to63(x) - convert...
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Easy Sequences 62: Sum of Omega-3 Function
For an integer , the prime big omega function, , is defined as the total number of prime factors of . If , since , therefore . ...
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Easy Sequences 58: Curious Prime-Rational Functions
For some prime numbers and where , a rational function , is defined as follows: . Using the output , another rational functi...
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Easy Sequences 49: Prime Little Omega Function
For an integer , the prime little omega function, , is defined as the total number of distinct prime factors of . So, if , sinc...
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Easy Sequences 48: Prime Big Omega of Factorial Sequence
For an integer , the prime big omega function, , is defined as the total number of prime factors of . So, if , since , therefor...
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Easy Sequences 47: Boxes with Prime Edges
This is related to problem "Easy Sequences 41: Boxes with Integer Edges". However, here we will be investigating a smaller-sized...
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Easy Sequences 46: Semi-prime Leap Year Pairs
A semi-prime is a positive integer that has only and exactly prime factors. Here is a list of the first few semi-primes:. We...
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Easy Sequences 45: Second Derivative of Inverse Polynomial Function
The inverse of a function, is the function , that reverses . That means that if , then . For example, the function to convert ce...
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Easy Sequences 44: Finding the Smallest Number whose Cube is divisible by a Factorial
Given a integer , our goal is to find the smallest integer , such that divides . For example, for , , because , (since ), and ...
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Easy Sequences 42: Areas of Non-constructible Polygons
A constructible polygon is a regular polygon that can be constructed using only a compass and a straightedge. Amazingly, Gauss ...
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Easy Sequences 41: Boxes with Integer Edges
For this problem, we are asked to write a function that will count the number of boxes with integer edges, that has the same giv...
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Easy Sequences 81: Fibonacci Radicals
The radical of a positive integer is defined as the product of the distinct prime numbers dividing . For example, the distinct ...
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Easy Sequences 80: Sum of the n-th Row of Fibonacci Square Triangle
We shall call the following arrangement of Fibonacci numbers, as the Fibonacci Square Triangle: where...
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Easy Sequences 79: Trailing Zeros of Fibonorial Numbers at any Base
The fibonorial of an integer is defined as follows: where: is the -th Fibonacci number ( and for ). I...
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Easy Sequences 77: Powers of Fibonacci Numbers
Given integers and , we are asked to evaluate the following function: . That is, equals raised to the power of the -th Fibona...
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Easy Sequences 76: Not so easy as Pisano Pi
Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo repeats. For example it is not ...
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The Singularity - Event Horizon (Absolute Zero)
Inspired by Problem61291 Mô tả: Bầy đàn gồm M agents phải di chuyển xuyên qua không gian 5D Hyper-Torus ( kích thước mỗi chiều...
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20 Points create 23 Segments of four points
By placing 20 points create a graph that has 23 segments that each traverse 4 points. A Cheat Solution Image (press play/stop) t...
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The Singularity: Omega Pulse ( Neural Dominance )
Abstract In the final phase of Omega experiment, you no longer control a single signal. You are tasked with commanding a Quantu...
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EXODUS - THE VOID SINGULARITY ( PHASE OMEGA-ZERO )
Background: The Swarm has reached the edge of the known universe, entering the 5th Dimension (The Void). Here, Euclidean geomet...
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Project Aether: Non-Linear Temporal Flow Optimization
Ⅰ. Description In the year 2450, you are the Chief Architect of the Neo-Elysium defense grid. You must manage energy distributi...
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The Singularity: Omega Phase
Abstract: Navigate a signal through a non-linear, resource-constrained, time-varying neural network. The topology and node prop...
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The Heisenberg Entanglement Protocol
Abstract: A quantum signal must be routed through nodes. The cost of transmission is not purely geometric but depends on the p...
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Interstellar Navigation: Minimum Time with Moving Hazards
You are the pilot of a spaceship at the origin P_start = (0,0,0) at time t = 0. Your mission is to reach a space station located...
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The Genesis Sypnapse Protocol
Ⅰ.Context In a synthetic bio-neural network, information is transmitted between neurons through chemical and electrical signal...
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The Omega Protocol: Hyper-dimensional Navigation and the Singularity Constraint
Description [EMERGENCY TRANSMISSION - GALACTIC COMMAND] Subject: Mission Omega-7 - Navigation through the K-94 Tesseract Anoma...
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The Optimal 2D Guillotine Cutting Stock Problem
You are working in a factory that produces rectangular glass sheets. You have a large stock plate of size W x H. Customers have ...
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The Quantum Knight's Tour on a Toroidal Hexagonal Board
In this challenge, you must navigate a knight on a Toroidal Hexagonal Grid of size The grid: We use the Axial Coordinate Syst...
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Robust Huffman Decoding: The Single-Bit Error Challenge
In the world of data compression, Huffman coding is a classic algorithm. However, it is notoriously fragile: a single bit error ...
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