Background:
The Swarm has reached the edge of the known universe, entering the 5th Dimension (The Void). Here, Euclidean geometry is replaced by Hyper-Torus Topology, and energy is taxed by Universal Entropy. To reach the final gate, you must navigate a swarm of Mparticles through a 5D coordinate system: 
where ψis the Phase Shift and ω is the Spin Frequency.
where ψis the Phase Shift and ω is the Spin Frequency.Objective:
Write a function [max_energy, best_path] = solve_exodus_singularity(nodes, pred_start, params) that calculates the maximum remaining energy and the optimal path for a swarm.
The Laws of the Void:
1. 5D Hyper-Torus Distance: All dimensions have a period 
. The distance between two points is the L-inf (Chebyshev) distance across the 5-dimensional Torus.
. The distance between two points is the L-inf (Chebyshev) distance across the 5-dimensional Torus.2. Relativistic Drag (
): The swarm's velocity is not constant. It decays vased on the current energy Eand the node's mass m:
): The swarm's velocity is not constant. It decays vased on the current energy Eand the node's mass m: 
3. Exponential Entropy Tax: Each jump increases the Void's entropy. The cost of the n-th jump is:
, where n is the step number ( starting from 1 ).4. Quantum Spin Exclusion: If 
, particles must maintain a "Spin Buffer". If two particles have the same Spin ω at any node, an additional 50 ATP is consumed due to interference.
, particles must maintain a "Spin Buffer". If two particles have the same Spin ω at any node, an additional 50 ATP is consumed due to interference.5. Predator Intercept: The Predator moves at a constant speed 
. It starts at pred_start and moves directly toward the swarm's next intended node. If the Predator arrives before or at the same time as the swarm, the energy is reduced to -1 ( Swarm Annihilated )
. It starts at pred_start and moves directly toward the swarm's next intended node. If the Predator arrives before or at the same time as the swarm, the energy is reduced to -1 ( Swarm Annihilated )Solution Stats
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