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Solved
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...
15 hours ago
Solved
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...
15 hours ago
Solved
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...
15 hours ago
Solved
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...
15 hours ago
Solved
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...
20 hours ago
Solved
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 ...
20 hours ago
Solved
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 ...
20 hours ago
Solved
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...
21 hours ago
Solved
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 ...
21 hours ago
Solved
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...
1 day ago
Solved
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...
1 day ago
Solved
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...
2 days ago
Solved
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 ...
2 days ago
Solved
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...
2 days ago
Solved
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...
3 days ago
Solved
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...
3 days ago
Solved
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...
3 days ago
Solved
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...
3 days ago
Solved
The Singularity: Omega Phase
Abstract: Navigate a signal through a non-linear, resource-constrained, time-varying neural network. The topology and node prop...
3 days ago
Solved
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...
3 days ago
Solved
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...
3 days ago
Solved
The Genesis Sypnapse Protocol
Ⅰ.Context In a synthetic bio-neural network, information is transmitted between neurons through chemical and electrical signal...
3 days ago
Solved
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...
3 days ago
Solved
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 ...
3 days ago
Solved
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...
3 days ago
Solved
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 ...
3 days ago
Solved
Easy Sequences 75: 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 ...
3 days ago
Solved
Easy Sequences 60: Almost Cube Root
The almost cube root of an integer , is the largest possible integer , such that and . For example , then , since and since th...
4 days ago
Solved
Easy Sequences 59: Almost Twin Primes
A positive integer pair , is called an "almost twin prime pair", if one of the pair is a prime and the other is either a prime o...
4 days ago
Solved
Difference of product and sum
Given a positive integer n, compute the difference between the product of its digits and the sum of its digits.
4 days ago
