{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61291,"title":"EXODUS - THE VOID SINGULARITY ( PHASE OMEGA-ZERO )","description":"Background:\r\nThe 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 particles through a 5D coordinate system:  where is the Phase Shift and  is the Spin Frequency.\r\nObjective:\r\nWrite 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.\r\nThe Laws of the Void:\r\n1. 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.\r\n2. Relativistic Drag (): The swarm's velocity is not constant. It decays vased on the current energy and the node's mass : \r\n                                                    \r\n3. Exponential Entropy Tax: Each jump increases the Void's entropy. The cost of the -th jump is:  \r\n\r\n, where  is the step number ( starting from 1 ).\r\n\r\n4. Quantum Spin Exclusion: If , particles must maintain a \"Spin Buffer\". If two particles have the same Spin  at any node, an additional 50 ATP is consumed due to interference.\r\n5. 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 )","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 572.867px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 286.433px; transform-origin: 468.5px 286.433px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 31.5px; text-align: left; transform-origin: 444.5px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Swarm has reached the edge of the known universe, entering the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5th Dimension (The Void)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Here, Euclidean geometry is replaced by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHyper-Torus Topology\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and energy is taxed by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eUniversal Entropy\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. To reach the final gate, you must navigate a swarm of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eM\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eparticles through a 5D coordinate system: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"83\" height=\"18\" style=\"width: 83px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eψ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis the Phase Shift and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eω\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the Spin Frequency.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eObjective\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e[max_energy, best_path] = solve_exodus_singularity(nodes, pred_start, params)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that calculates the maximum remaining energy and the optimal path for a swarm.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Laws of the Void:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e1. 5D Hyper-Torus Distance:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e All dimensions have a period \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"54\" height=\"18\" style=\"width: 54px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The distance between two points is the L-inf (Chebyshev) distance across the 5-dimensional Torus.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.4667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.7333px; text-align: left; transform-origin: 444.5px 10.7333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2. Relativistic Drag\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e): The swarm's velocity is not constant. It decays vased on the current energy \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eE\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand the node's mass \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 55.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 27.95px; text-align: left; transform-origin: 444.5px 27.95px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-33px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"78.5\" height=\"56\" style=\"width: 78.5px; height: 56px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3. Exponential Entropy Tax:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Each jump increases the Void's entropy. The cost of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th jump is:  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5167px; text-align: left; transform-origin: 444.5px 10.5167px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"272\" height=\"19.5\" style=\"width: 272px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the step number ( starting from 1 ).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e4. Quantum Spin Exclusion:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, particles must maintain a \"Spin Buffer\". If two particles have the same Spin \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eω\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at any node, an additional \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e50 ATP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is consumed due to interference.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.4667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21.2333px; text-align: left; transform-origin: 444.5px 21.2333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5. Predator Intercept:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e The Predator moves at a constant speed \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"52\" height=\"20\" style=\"width: 52px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. It starts at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003epred_start\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 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 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-1 ( Swarm Annihilated )\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [max_energy,best_path] = solve_exodus_singularity(nodes,pred_start,params)\r\n  [max_energy,best_path]=size(nodes);\r\nend","test_suite":"%% PHASE 1: 5D HYPER-TORUS GEOMETRY (5 Checks)\r\nclear n p;\r\np.M = 1; p.target = 2; p.ATP_total = 1000; p.V_base = 50;\r\nbase_node.mass = 0; base_node.res = 1;\r\nn = repmat(base_node, 1, 2);\r\nn(1).coord = [0,0,0,0,0];\r\n\r\n% Test 1-5: Quấn tọa độ Torus\r\nn(2).coord = [90,0,0,0,0]; [e1,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e1 - 990) \u003c 1e-4);\r\nn(2).coord = [0,90,0,0,0]; [e2,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e2 - 990) \u003c 1e-4);\r\nn(2).coord = [0,0,90,0,0]; [e3,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e3 - 990) \u003c 1e-4);\r\nn(2).coord = [0,0,0,90,0]; [e4,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e4 - 990) \u003c 1e-4);\r\nn(2).coord = [0,0,0,0,90]; [e5,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e5 - 990) \u003c 1e-4);\r\n\r\n%% PHASE 2: RELATIVISTIC DRAG \u0026 PREDATOR (5 Checks)\r\nclear n p;\r\np.M = 1; p.target = 2; p.ATP_total = 1000; p.V_base = 10;\r\nb.mass = 0; b.res = 1; n = repmat(b, 1, 3);\r\nn(1).coord = [0,0,0,0,0]; n(2).coord = [40,0,0,0,0]; \r\nn(3).coord = [42,0,0,0,0]; \r\n\r\n% Test 6-7: Predator Interception\r\n[e6,~] = solve_exodus_singularity(n, 3, p);\r\nassert(e6 == -1);\r\np.V_base = 1000; [e7,~] = solve_exodus_singularity(n, 3, p);\r\nassert(e7 \u003e 0);\r\n\r\n% Test 8-10: Path and Format check \r\np.V_base = 50; [e8, s8] = solve_exodus_singularity(n(1:2), 0, p);\r\nassert(abs(e8 - 960) \u003c 1e-4);\r\nassert(iscell(s8));\r\nassert(s8{1}(end) == 2); % So sánh numeric == numeric\r\n\r\n%% PHASE 3: EXPONENTIAL ENTROPY TAX (5 Checks)\r\nclear n p;\r\np.M = 1; p.target = 3; p.ATP_total = 1000; p.V_base = 50;\r\nb.mass = 0; b.res = 1; n = repmat(b, 1, 3);\r\nn(1).coord = [0,0,0,0,0]; n(2).coord = [10,0,0,0,0]; \r\nn(3).coord = [20,0,0,0,0]; n(3).res = 5;\r\n\r\n% Test 11-12: Forced Path 1-\u003e2-\u003e3 (Cost = 10 + 57.5 = 67.5)\r\n[e_tax, s_tax] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e_tax - 932.5) \u003c 1e-4);\r\nassert(length(s_tax{1}) == 3);\r\n\r\n% Test 13-15: Basic Tax check\r\nn(3).res = 1; [e_basic, ~] = solve_exodus_singularity(n, 0, p);\r\nassert(e_basic == 980);\r\nassert(true); assert(true);\r\n\r\n%% PHASE 4: QUANTUM SPIN \u0026 COMPLEXITY (5 Checks)\r\nclear n p;\r\np.M = 2; p.target = 2; p.ATP_total = 1000; p.V_base = 50;\r\nb.mass = 0; b.res = 1; n = repmat(b, 1, 2);\r\nn(1).coord = [0,0,0,0,0.5]; n(2).coord = [10,0,0,0,1.0]; % Spin Penalty\r\n\r\n% Test 16-17: Spin Penalty \r\n[e16,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e16 - 927.5) \u003c 1e-4);\r\nn(2).coord(5) = 1.1; [e17,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e17 - 977.5) \u003c 1e-4);\r\n\r\n% Test 18-20: Stress \u0026 Finalization\r\nrng(2026); for i=1:5, n_rnd(i).coord = rand(1,5)*100; n_rnd(i).mass=0; n_rnd(i).res=1; end\r\np_r.M = 1; p_r.target = 5; p_r.ATP_total = 1000; p_r.V_base = 50;\r\n[er, sr] = solve_exodus_singularity(n_rnd, 0, p_r);\r\nassert(er \u003e 0);\r\nassert(iscell(sr));\r\nassert(length(sr) == 1);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":4945722,"edited_by":4945722,"edited_at":"2026-03-22T14:34:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-03-22T14:30:22.000Z","updated_at":"2026-03-22T19:52:48.000Z","published_at":"2026-03-22T14:30:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Swarm has reached the edge of the known universe, entering the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5th Dimension (The Void)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Here, Euclidean geometry is replaced by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHyper-Torus Topology\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and energy is taxed by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eUniversal Entropy\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. To reach the final gate, you must navigate a swarm of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eparticles through a 5D coordinate system: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left[x,y,z,\\\\psi,\\\\omega\\\\right], \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\psi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis the Phase Shift and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\omega\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the Spin Frequency.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eObjective\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[max_energy, best_path] = solve_exodus_singularity(nodes, pred_start, params)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that calculates the maximum remaining energy and the optimal path for a swarm.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Laws of the Void:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1. 5D Hyper-Torus Distance:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e All dimensions have a period \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL = 100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The distance between two points is the L-inf (Chebyshev) distance across the 5-dimensional Torus.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2. Relativistic Drag\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV_{eff\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e): The swarm's velocity is not constant. It decays vased on the current energy \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eE\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eand the node's mass \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV_{eff} = \\\\frac{V_{base}}{1+\\\\frac{m}{E}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3. Exponential Entropy Tax:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Each jump increases the Void's entropy. The cost of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th jump is:  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eCost = (Dist \\\\times Saturation \\\\times Res) \\\\times 1.15^{(n-1)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the step number ( starting from 1 ).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e4. Quantum Spin Exclusion:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM \u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, particles must maintain a \\\"Spin Buffer\\\". If two particles have the same Spin \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\omega\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at any node, an additional \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e50 ATP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is consumed due to interference.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5. Predator Intercept:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e The Predator moves at a constant speed \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV_{p} = 15\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. It starts at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003epred_start\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e-1 ( Swarm Annihilated )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":61291,"title":"EXODUS - THE VOID SINGULARITY ( PHASE OMEGA-ZERO )","description":"Background:\r\nThe 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 particles through a 5D coordinate system:  where is the Phase Shift and  is the Spin Frequency.\r\nObjective:\r\nWrite 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.\r\nThe Laws of the Void:\r\n1. 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.\r\n2. Relativistic Drag (): The swarm's velocity is not constant. It decays vased on the current energy and the node's mass : \r\n                                                    \r\n3. Exponential Entropy Tax: Each jump increases the Void's entropy. The cost of the -th jump is:  \r\n\r\n, where  is the step number ( starting from 1 ).\r\n\r\n4. Quantum Spin Exclusion: If , particles must maintain a \"Spin Buffer\". If two particles have the same Spin  at any node, an additional 50 ATP is consumed due to interference.\r\n5. 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 )","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 572.867px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 286.433px; transform-origin: 468.5px 286.433px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 31.5px; text-align: left; transform-origin: 444.5px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Swarm has reached the edge of the known universe, entering the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5th Dimension (The Void)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Here, Euclidean geometry is replaced by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHyper-Torus Topology\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and energy is taxed by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eUniversal Entropy\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. To reach the final gate, you must navigate a swarm of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eM\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eparticles through a 5D coordinate system: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"83\" height=\"18\" style=\"width: 83px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eψ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis the Phase Shift and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eω\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the Spin Frequency.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eObjective\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e[max_energy, best_path] = solve_exodus_singularity(nodes, pred_start, params)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that calculates the maximum remaining energy and the optimal path for a swarm.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Laws of the Void:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e1. 5D Hyper-Torus Distance:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e All dimensions have a period \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"54\" height=\"18\" style=\"width: 54px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The distance between two points is the L-inf (Chebyshev) distance across the 5-dimensional Torus.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.4667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.7333px; text-align: left; transform-origin: 444.5px 10.7333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2. Relativistic Drag\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAoCAYAAABXRRJPAAAFc0lEQVR4AeyYf2hbVRTHkzYpztZ0qbRKG9M0jQ1MQUvFgRQcWtwfsj90Cp3CmDK3gQw6VIrCJlhQ3F+TTVEcgiDU+QPUifiPMmEFUavTwrrWtEmadop1bee62uZH4+c8k+ylee/lrU0eYzSck3Puvefee7733nPuTSps18FnHcS1sonrO7G+EyVcgev3OPl8vu6WlpYzcFrFCeq/obyfRXTAanLQ1kPbMJzts+D3+4/U19fXqA3LoWvuRCQS+XB5efkRJgzDWXqb+q5wOHyUiiSspiRtR+x2+1YqI3AK3jM+Pt4zPT09j15W0gQhM0aj0RjyJzhL/6CkYV0C+CYaG+EvE4nEp0hLSBcEs8tqn0FmyYtihzXJ4/FsYCf20Xi5oqKib3Jy8l90S8gIhDgwJF8Zvi0YDOqeb6fT2YndQ/CbY2NjPyMtI0MQrOh5PJmFbel02rO4uKgJggCuxeYleJQ+EjOGxw67kpIhiGQyeR7nZ2RGjkqdw+GQ8y7FPCYWdlCxGZtX2IW/0C0lQxALCwuX8CYKC7lxtgBEa2trAOdfxOALt9t9Emk5GYIgPV7GQTlSimPoAUW58mVPpVLPUnRUVlb2DQ4OJtAtJ0MQeCNnexipEEfLpyiZLy62ToA9DR8NhUJnM9VrElyaN8BbGHtbU1PTzUaDYafYFgNhw8FzqoH80lHKklKRz8Fnl5aW3kUKYMTqiQRxD/P9wK6KXzurqqp+8Xq9fq0R1bZirGWjrpNLby5TUU9cbBCdlLod2QUfmpqauoBcExFbDez0cXgAIAMMFkX/kfmyc1P1P620LQqClPkHXZU0i2xgdaoDgYAHvZdJPqqrqzuFvmbC2ccZJCBjcjSXeN48z1NmO5emkh1py9FK26Ig2NqL9J6Ahdyk3SaCeS8FF22vliKY5ZGI848yZphFy8YWxULSsi0KYmRkRB5wcqRkxI1s9cMozzDpa9wJIXRTJLFEsN4LP8Z5bqNT7gnjcrmCjNvOmKPsbMHKY5sjLduiIOgtAZvLUJQPwsOsWD+yKEkCwPEXcPJrjBeRN+HsEEAehDtpe4fj8RZtbto8MzMzxwDcK/2oy5GRrRkQKzOUvGYP8cyWY5abREth4lpu+U9wbhegd3POfwPAjdgmOJIpxjhNnTwaR6mL0/Yy5b3EwuvEQt4D0sjWFAgmkOOkZAkmeo+JTlNnSB0dHU5sDwOgi5WW50iIhHAHdQfo2A+I75E2r9e7EXk79dMAHUPXJT1bUyAYPJuhZMXeYBY5Ygh9mp2d3UbrLlhetN+xK0/i+ElA9c/Pzx/IrjTlW7HxIsdJGn+j6xI2mramQJCFLjKA/GLrY6tF6k6UaXCwst3oVXAjfQ9TjiPb2cWDPGckWdCkkLwCGtB+nZiYUHYbXY80bU2BIENd4kw+gAMf6I2uridY5blwF3VzHKUd9NsJf8wYBXHELrdjVwnIQaThDuvZmgLB4KslGT/Psebm5nayz+bMgA7k3fAcIOSoouqSrq1MottrtQ2s+gWckt/nLlZvn1xQwj6fr5dyD2f/dxm7ra1NgjqIPkm9YVAb2ZYFBE7J73N5HJ5Af6KmpmauurpaslGEy2w3Qa1caPF4XJ4vjQAeArhhUBvZlguEjQTwJ451w07YQflO+IT6mcLqywtVLrmvACt/8yC0yci2bCC0XcmvZQfuh89xvL7NbyksYadraykI7opaMtdxYmMP8hZc3ULafT8Wi8k9RPEKXY2tpSBYTbmstnI0NuH8U5QH+JPtGK7nZTDK8u+KaVtLQRAbIwC4j7vjFLf358TIfoI8740kAISvxtZSEOIcz/cYzn/G36TyMjYMZrO2loMQIKXmdRClXtHVjvcfAAAA///Q86NPAAAABklEQVQDAEfpu2/Mrut/AAAAAElFTkSuQmCC\" width=\"24.5\" height=\"20\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e): The swarm's velocity is not constant. It decays vased on the current energy \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eE\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand the node's mass \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 55.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 27.95px; text-align: left; transform-origin: 444.5px 27.95px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-33px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"78.5\" height=\"56\" style=\"width: 78.5px; height: 56px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3. Exponential Entropy Tax:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Each jump increases the Void's entropy. The cost of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th jump is:  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5167px; text-align: left; transform-origin: 444.5px 10.5167px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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MJTPgxC/PZFoHOGtNlRyAJPgNiaRi9LTSGxbMCD3p3LeYfDJ6C3E26iEEELYV6jTPRSsmuqLpDsQjYy3wWVIjXSKO9dFnFcdR5wMUIYAeuYZ4voSVgccakA1gKGNpLxy77MVZGqF66qVFeOHDRvmzsdXKp7p1izomQ5ajoz5MEila6sHGvS7Bab3dfrj5WyeY5g0OW2JYTDBHtD0eso9Fv/p0HVXYBf650HCDiNsCvnMB14ifAh1csIEgYr4bxFmX6xuPLgVTS1CCPVZZuEjVoLF41Lc1wLRuPhc6ySKAeVscPxmyxPQzktgZ9G+rR3b4PukV1gL9yvQIxx/EV+RPkzWl9ndTIeuq5POzcCm2GOkCXbOkJ87HAXX98F9LUbQjy7yr1Cf4YSpFeoFbhDWmTsKl+6inSs7on3rD04mb37al3dRx8/RXweQzpcPZ9N/atsmUC93vxnrQht3R1BcjXLixcjbSLMCUEfcheTxWN++fR1T91sGUHSxkrBg8mio0Hk1eXwB2Ju8dwJhKPZfwXGTgjeToR0jmPJTFAAAEABJREFUafNhhJ8JSIee1PEftgMmfBdIhxD+IXY94WrifD6Kt7qh7g+RppIQ0qbChzWirl/CXhHQvEHbZioc0uZB8CRfrr1ChK8M1eheAt33sw8ISxh4mK8Wb4M+Xhh9Ehp+CXr4lF6NygHkK61yaci7Fv6aw48O6ht51Q4KozG8mt0ZtA116uSfyZMnz2A+eP/i19h70C9rMrdcw57Oq9o+9I/f70hoF9AevQa9vbh9IOMhCpDN5HMw+ayE7bPbkA3KgsmEbQisCsjTwqYqRLbBD7xpFH3oBdq4tq5L+VcbXpg9bdmCeTSIup9HnOMWa6kpKYAQ7Rlm0CDgfhuGk7iJTViLDdLRplREVbw7pV9Q4RxhcL9LhgoYlnkkuKpsCMqZr+FSNTWdXUJQJUFkd+nmkfg4S8Gi3BJtAkV0jkH16plg2PlAo7BA1VIT0qmujepPVVwymIpJs2eIufsNlDeP47bcwKCv1X5FNV8R/WBq9k24/U7a8KEcCmxmoMnwnyfMS5oELTEIKwogDfhqqh94CSODhdG6q3VRWoOBnDuOKRA+1CbsV2oSJDKs4HHnSv3dndyXh7YPZZ5HWY6/vOClTsbrluA8Tojajd2Z9H/D3Qy4SHrk5SKocHkPY32+4REq0KcJpuMb/tFZXJmIAmbWm8kMGTJkTTzxku6b9IHfASAoE4QD6jGB9rhLNcz47tTT100uRgpK7l4e7t+///ssWkNhhua/E2m+C4P5HYksM7No0aLppHNXRVDmUbRs7+uIwJgaSBp377bRPHLjSZw5c+b0IT6cA+N/mXKKxjhMdWfKkBFvDO6h1N2LjoGG0Ez+I+/oQRt/CG5gwNDnScbGT0n3Ivla9quk/QD4A/AIeYzEPsk4gXJbdKEaGpQTQuoQcnKaD/K+EOG11ZoP0gdtEu1w46dX+NpKK630IRpLN4D26y9pi99TOAThcgBtO8a5IWI+QJvNoJF0tB+/DZ4CdRNpfCrqRsfddCEdauav+WVRn9CP2CMcA/lx1dwdSdtqdenEeOf4k/TR1vT9MdQjaJuh50GMLwUTgnLGxx0XEbcquG706nIxXdShFpb6ngxcCF9+qVQ1iwSQ7MU9z5ACPo0dN2vWrJI3cANCDT8wSl/TqCpch/yuZ0d0EckCc8EOhvBZwZHJuBC7sGa9CWtTJtImMYSGuRN7Zd68ebkJBbM0bViUiW/xZUGY2gsMiCjZuVtvLRwU61nNpu0DwFkNmAmTDJMad1UDo8ndmCePUdDBb7JUTIcAsTZ0CYwoi/jK+PHjc4si8S4kqqpdfFxMsmjFFmXu4w7NGFWy+F9vamqyTwwS4mUo3ROJV9DU3SKQ0bLQJISQxsbGfdnVxWMXhY+9GORhIWpR5gXIMMZZ9IHHYQoRMfYQyrootjUGajO2NwdfdapagB8wdhJjjjY3gLcK8AF4hQJiVfqQRkakYF6kOSBvd8z2F9lnioRFAlXR+i0AnJl36XfVv+fS354XH05dHduHs8j5kaO7yG99cE6HBqpsTRNhNcJdwBRYHouB0WbM+KVFx4yXoHNamBjPnMwJ2JTxOOXnxps40pBwBZ4GyilVvgJN2HgQP4xxb34mzfTo0UOBOfAr4v5OWV6EfYg2+E0X76NEwec94qNmL6St5Yd8CoWQ31Dfg8lLLavaigvhZz9VeK0lv3I4LuDkGfvyHdro5X/5gsKXybzvcQ59dm251xMKH9DRjYD9eR11121aFytfXpj/q4ypoj4UCajKX8HJGerrfHZtWINANyZYtRvq1yG0rb1GnYbZxJxwMx3uUFGLHtC26HMF9P0E+m534vajr2s+9iK/DjdqxFAWnEPBN9PPF2In1nv8wRQJIPPnz/dDY7mnVTR2CgtA2MGFFC38ye4c/S9+Tqgp7LDPLzVZKadPNut6iJxQPzGpVN9+TLyq5lMgfsDNCgt7T13y3/mIzmSYuHFRbtWOO2TSwT+0PTLJmktmAV6ZdD6/Cmlw1/TyAPq4WCjsmE4hI+6Q9buLjN8UKVrwREDAGE9ZUZrdZebMmTm1NpPoYIQA+0pUz+HdoXt0oL/UAml4TcAYRAZZeieEOvgRIO98tJnwESvChJlF/l6UzBdCDmCh9kw1omWU8PH4GkAGfGeZp9MKAC5UExn73mQnyRLD3KhIHycxYz/uihOaA9L2YJ64qCic2I9FwmKBNnAd2jSNxVKhbUkF+M0KVb+iHOfn0wsWLPCuVCGzcHGxjc6pxL0EslDIifeQSl4yzhtzCiiJV1poXsxXbYz2y9RRQaSwfPlBEIAoD3mn3jbjzKhh8qhYjZ3HfL6yGsCxoXd5zMNjXce74/rV2bNnJ7RzIYMafhgP+Qull/OvIZl92ibCB3nZDuupEGddw2aCBcfXe2qCRLE8LzBKC/0JkCfSh37YSlpMhEgXgKDgVgev2Af3L4Cp9MVhaI8T37ghnXO2Jv5KHjlDX8WnrR5xuXHMxdXq6Aja1lqXTsZzvF5PHeL8GlHq5Qpr3lg24R6pbo8gHDTRpOlSZv3111+xd+/eP4Y/3cwYvoLK2TasYlMkgBSjZGRuZTMogZ8Igum6oEXGXe4yq5Mq7GJI/D4TIrGTZ1ejxO4kITqzPfHnZhmn/nxwR6nKPzeJ8yO7qhumsEJL6wZN1GKo7THpxzADz/V1l4XsorVrHoKDPSeADBo0qIE47+NgZRILngEC55gfQX8lWtWFvjK6otxEQAJ2pypTdQwVLZDm1xJQCGFQu8ON78kXkv40hJ5l1nyQT8LAGNXIHVpXVxfPuW3rMQoFERGtyHdxKyDMxr68ULCG8a8MrcIRCXbRBeFq9Mnf3ZM+oTlwXhEWF/73GENFF7wYI46PoA2kfv1oy3mFdUSA9LjV3ZZ9dHmp3TU0995BPeWFhZG8coYxo3ZE4cU5V9RGEJ2TsZ5FAgr1VtDzGSGomd/CYL34qTsHlOEFvbjATSNN/gJq3gokq9K+9Yk7zjFqYgUw7I2ATLdu3R53/OhuDTAeHqb958e0uJ9B0PllIT1jfAvtfCFOLdOrsa60x6Npx5fhW3Dc54uHouzB805cGGtE3g0d30S48y7IldDFhe1u+vHzzBX/1QAoSw3jpFb+ujRRsStsCouDq4e0M22rV6CLYLBYK3CGu1SMr3r6tK5U1RjfM6DZEeAntK2lcDsjzG+kUL/TGIO2paLsUCSAMEgXM2BlRm1RdwULpXal9w/J191XUYVYGHM7QQg/hjokdooQ3EXvWCoUF57vwjiPxp8w+flQVk0agUQGnyAPi5fq1MiUi27Ml2oKu6JNoK+XD41WpXs5g9hBr9+zYe+GxAXrFTQaCVV5QOKHNO4IT8epceda8oNEixcvjtqoktoUE7cE6F//B4s75PgKQMHtPHZ/akJaklXE7Y7wdCiCgjv8GJazaecE6OUF0LgArKdQIALpfELn2HZheJLFqOiT+dDbS5uB3oxpBbDE2K9GH9LH3X1Cc0B7vVNxIvVwXrnwFwkGxOVrA/XeCENIHAFBT++1HEKk+SiM5mt8CM5kXMRwuOOynUVzCiHMey+hP0q1ETopKEcBI/EFWdsBfT3uoojMJLRrcZOhPwf5ZYD/PP3iDf8MgkkDSFFgboKepzNmc1oOFtYogKnBXZan03WMEe98nEZ5wcBftqReF+ULpCGiFT+0IyfEkVze61jBmclAk5coy/sv+ofg/h8d+SAd8TsWFcQUyiH7kBehh0cwY+mXodDMzyIkNnakCaZW/hqQ2/6nXWnb9tVt3xwZ3z6ocK5NRwgtyX/btwYdm3uRAAIB3PnFhd7aNGbvhehuETAL3HUFjQQJi3Y/hAXDbs6jBHfLTr4/Ij1ZhxAXf2QsTL6f4nfn7W7s++wGTEPQEpO3KNekEViSKvkLw+3wVzAwCC+XJStSxUc/ef7vwiHmizCRnCBhQCGoMaIcLzp5jGX0I/h92qU7AH4XTF9EVKOfC6nPAeOCtQHMzoUs5OMPDDv/iKikNkW8WoHFMv+1iy9zfDVUdDG11vzEg/G7s96Lhd5F0qAiYAHwDN7F2bheLDoNOgAXPoVABYB7ob/jkuCc6Q5NFF7E9+gisfjXSJ+4u38HtWsUyj1W8OWH6u+gLWBeFAkGBfnPpi7eoLffchVcaaWV1mccqcExzHshIT89EWi/O2vbWXJMEO/8LtlG86BuajZ9ASSdXFg9FjBKAckFNQgvBJQdI9RRLY1l+DVmX5eFPOiLnPBDOQ8jcMTjCrJLHMeW5T0BsfJPHbRU+Ih3Ps6jLJ87SytfSdX8sbJyxeS3A5yEsO64ov0+sSQq4yZhV+aCgmPw+0Pf5tPxX9DhGASOkcBngF8jeJYUPEwboRb+GnFL2fCOsHCWiqsQ1u60rVB2V4/ygn8Y5129ostSvyIBhIGo1JV70kPmIxjQ7oxxVjZM1AEIHdfD2INKlkHpXRKfEZrQXXrusqgBgpMJvHiW/Rw7Sb9kmSGvlcnLbw+sJp6AYKJEf6NuYAgLhztsnEsMEzUuypYVF40lkV37V2bmLm1VaK1GoWJt3XXR1rhwFDH2Eonr0BgdSvhegNK1xwp+Vj8h6JGnHwsTpYh+CHubAvEoLUNfeFnTFwaevVuHr9LvDSYWYIqeRYedL/kmjg+MbwkwRhLCB3nvBWN9fG6N3wkpVxYC6yrUbd1KNP/oo498u2/fmM0HLD5R0FMAccepZq/ociNj17HoM07TFV3ApQ0V6ZOlpWWYPidgkq+XUnelHr7UcayUFAzy8wf3SQSFeG/H/ALQdjUEoc/A8eVEQkAZOnSo/31VoVX8qdBJwU93hNzxCnmV1MKA+FnAS7gzma8JLRFlepygwAtK5q0s79GdA9q7JnnvmQ24u2/fvvFrj2oHovCjNu9KF+ssXkb+Qf5ubBybpY6GImolu4588oWPcOeDsX8fedu3zttlFkLom9gO61IkiBGvZigIEdDi8wqOIkYgzGPOhqz/jUmTJvlRPTdz2aBii3a1mL8W5kK5CkJugrw/EudFIVo5fx11aHfaliu8i4Y7nxwLvnyyz7toNduuWkUCiFnDKFzo3fnpXQNm5rO9Oj3lgMHUyKT0NcD/TZw4MSz+TBwngWCy6aUYDNqPXRjI7vSczMfEM2jCGkj0PYQTd1A4g/G/aP4BV1wQZMB4M4XP2N4g3+nUaTfUk98JCDX+sFvo8Fcw2d2tEi+kr3dSV6xtwY151fNFLw/yMqiDDuEpKWEumG/RL36Pw6d9BC0x2QXPC5MGhAUPbdCXWQCCZoO+3Z6+UF2eGwfQyoU3qrYbqLzMyPReqovHB+GLjvRDH/L6NUKMzDLg1PJTSvjgHDvc+UBFiQyy9GIqYyb3RDeRdxkP4/pTtKsf7fI7E7l25aPD7D3uCEdd5P/U2LFjvfkvStjV41AASGg/aKcC+xnEzQY0zomZ9MM20DR8twVaVaQP9fIFRCw3aA6y+Z5Jhn4ESOEBZyYIi+S9CfHnEnxEIQoAAAzYSURBVOCxZz79CcrcmL84GyDQ/tgGF+lYV6My9hfjxFvscRf2xoIFC/zw3EaUE45k6Jvc0Sn19d7Ch8R9D4jHBD779UuN5hm+KUP/jyDeezyecZt3k5HQttQOmmzrnL8b1C25i3Ni3p0LmbV8w+Tym9xdJgNoW07Ao3+lX4Zy96FdUeMiWiUI84Zyo+YjCB+xfIQQjyHbQgjJb4f1eaqQT8JPFWB95m18A7RSI6Q7AGPJY5dARwKc46XGcj1t3wP6h/lHHg3g1sxfwS0y2TwULksJp0X4eQF1jNci4aMdaJtXZMuczNOBwFZqjluWsvXY0ETe4HHy/Qj73stpfWafkJQlBRCY7GQm3s9pQ3z7/yMm78H4HdxYCePA/gb43m6/gZ2pHxxpFoMdppfF4rPSnoQF5ogdDHluTrrwZUTsI0mbu1SDX+bmDkl1Z8D3h3CZvRL3bBikuzaDE8/xmBiPg7cRcAhMM6GWDchd7IfFwd1DWFSpu4OwYg1hOPk35t+FDu54itKwg10VGl8MHXwCrWDzOPlvN2HChFBWQYIG/DJtFyO/GrkeTPw4wsIxC3koCG4FA8u/L+ECEp5Hkm/ubJ40Gnfvjhf/KeFY8nIxe5myFbSMrwowzD6opyu+dllGIcTxtRoVORBmo8YCZ8LUMYY9W/eVks84ffFim0WKC+aqtC23kJOPuB5t+VIiaJikDXTbEhoeiTset1WkD33ssYeLRXi+S1+qTZQW95CP3waxP6zHG/ibAbVRfoo+1s/FWfpPgpkVXTw0IQtzbIN9bnkG+3rJuzY3UdcnCIiXW0f16tVLgc3XFOGIFtp4BGodXfwepr98Grg5WopwIRqh1iOuIESRzzOUtxL1VIByTJnG+xpuPNTKFV1iND/qcCpp5SF+0yInNOcLP8QXHR9BvyjgvUO5L8HcfQmydUNDQzzKIll5Y9nUtaTwEVO1hRBS0A7vsZSam268vD8nzeyrPZnX8sdQlez8j335RcZgvMcV4vEPpP23Mk6/4jdfDKRtpnf818RfTVMI5OFYt+9eJe+WzOs9SNvutC2sb61++t4Ps71Gm56YMWOG8zixbtWaTz6e85d8X6DfFgJ/pj/y+WiYc9DkTEA6HsOa4DqXn8Vy6S4pgNhSJtcdTH4lbdWuLl7XQDgJeDz2XhBwXwh6EbYX9U4Bd38EiMtJG4QP7IwfLIKgXlaUmNuQzoXTKHdYqmZl1DPA2c7yQkT2B6bRC6cfHjqEdEGVj9/zb3dfLpb/y2TKqXTJwy8+hgWUtD799KMtp0WNCmm7slkE/e6ggjKYjaCpX3zFW2xgWD3A9eVAiKTdfWG2OYZjWhjOBth+ll6GfTT4U8H7FgvDduyuZPohbf4PC700leaeM28LDW8kzZX0qXk4AV0g/LLp9+OugDKcRO5wE4tz9vmY/SuzJJu6c/hponyZaH6xZd2MrfiP5ezvik9tWyuEwGACA6USChG3M84OpE2B9rjXBHw+riZjJvX3i4M5AZk0HlOqNXCRvwzco4GLyfM+aHcy4EISjh9NC/yaNCcyzmfVQh/yiXXrTf/9kkXmBfLwK4oX4O5JmAIJWWYGoe27k7hb6atQPxZ++1IBx/gilb6BAmnUGkzMun9C20+lDSczFvyg3C0ILjdQjn0syrbUSQ3nWZTjmDDMPnYH7BHIbuB6MfzUuJMlf18BxSMW5+efCHuE9M+ZGGHUb8b4osrvdexG2WqOjKrDrWbUJ8HPk+9W0C0310VA+FFgUrhxzijQ5PiO8aRRQ2TfrAy9jqfcbwGnxLqJUw4Ye3uS3vtFavQSmo/CNNTrIfJtrSakDlr7YUYFObNuYi6rzdBdCPaVmh7DR1A/Xy7pzkBH57R3sqTFIPrpn9DvZPrTf61wFf5nqOOjzP2jY/sZn871mvlrKCj5Iy8O/Jy6lLoDlcTO+jqQttkSl1iMAbW7zgsFJgWvUlqiJciZjLi9s57PQ8uyd8SGDRvm+A5XDqBxb+ZiSdyFCxc6jxXW5aUeofqvFQ7NCiZ7MA4U9mfRV9sxP+L8ylZh+bXKCiA2mQH7GIRT/flNBpkaDi99qeb1c+oKG8Mg+pEsLBuJa5pCYIK6sPqMT2bzIAPwTjr0QQjtjvhY04ITGFJB2jXw2ylnUPYFpLkd8H9JeAywL510VJxM4DmolBw9J3UxH0C9DiLfBNMSr6sCjMcnSx57jaS9kSElqgtDOZyB6mXG/Ke0qmQfhzbNAu3+CNp6LOL59xW416dvBkOLG/PplcgYz+zZs91V28cKDRtQh+NIEy6/DR8+3A/jyLCOJ7wbu4K/U5ZjQLXwYzCzzeiPsPiRVWbq1KkLwPNYyJ1bb+r0LP18XKXyTZcPpD8Qv88KKwof4ARTKITQ7pOY3PHCbcAp8fPflHMMtHesHU499wP8ny0uZu4od8R/Nkdk60VaxDxo7xPEufDI/GVo/p+VhZS7DUdTjxCn0OduW42E9p6kCYylRvr8lbLc+buI+snm/alD+LgWC8408r+feBf+frThAuKcZwRlMowR52k4aiDuHvrfe10hLv+Heo4lH+8FeZTmM9YfgG/aHanr9WgP/R6K89aFbQ64e1JO/pxSE+KHqJoYAwrG+5EutNFyCuqpRuIS4vO/C9CM3+9VfINyXXifd1wB0u875Pl14r9E/aWxWeYAfDVWCgjj4FEv5CKWOiL9FCjrwfk2dQ8aqaUoxa6BAwf6ES+1v+ZdUfiIqcn3IWjjWFCbsxeaotxdqYhTaKMRG8F8VmN1EXH2MVbGT+PfRPsvJd7FyrAA0EEtadTm+t2NS8G7BWHT/gp0pA5q69Sw9SXRGfjVRs9hTHoh1Q9d2Y9EBeOYfwJXTfwVvIRhI+Rmz3too+inWK8ETqGno2gby6WOPaDxQcDD0EJhNkYdAe3+zFp0FDg57WWMZGw5l5wTjvmLob39GqODTdoNgYvgDd6tUhA33P8u/mfyPp+4rxCgsIGVUUgcRR3Uwnm04smCwtDVCEZP0T8ebx9AOXuPHz8+HvGGdMv7T7dqDVQVxAS7CcJsBYFWBeqy0J/wnXD/pcrC4uT4B3jbAA2k2R17B/JT0iubFrw7wPsqeFcB4nrxcHPCNgJupd75kykDTvjfGsT5fyi+RHqZYyYD4ifBsBg4yGUYftlRzVNRtWnjVbRvBBD7oJw9AFyFgp+xCLhrStCqKGMCXMDJ92uAeW5IeicKMZnM6NGj50BP+/o8wv1/O1uDtzcwEDiMuiv4Bdzsz6Isnn2xJmkvqDJGssmWWggsV8IIfsik3Zc2qE1YGlnGZRvmzp17FOlOI93BHCWqoSiDnclQx4OBS8CbRjtuo562sT9uadAdW8Hj52W0aM3g3wPOEEB8afFj6qognCHPycTL+KXBfpSTz1iq0gd8x/Na2bw3hMYKqApGtmcR4UcD3cFbG1CzFOMy4ObuMRF3lQnKAXV8jnw2AWxvf/DV9CiMxs+5OyaM2xrcxJzCfy/pGoCeuPcnbX4bLbJiPUUAmkiv9sY6rI7bceX83Z12+Py05NgF72eAdF8PHqWwSFZLDXWJ9OsJ3gHgzFgaW941adKkKSwI3nk7lTFY8xdOaf9DLMS+GPIFioJF+UKIYZyMoo4KpY4P2xFhDep7NPFhHIGaM4THNotrun0nTpyohlqcJurgh5/WA8/+EicxJkWKAG6L+GtMF22EXAXAwcy1S+inwvkf0RJ2R9E2FkqffwSNrwNcP6SXNBF07woNrgCnaOxAvwmA43FVccgvN7dwB0P4/wHHkvfa4JpnAPw+ef4RcW4CF2Xy/gh7Atxtgfx1dCBpjoSGCtFF5eQlXy6dVQWQ5bLVXbRR7NL+RNU84/8exyhRBU/Qf55RYGFiXsKkzd9xVyWEQgjpfsEkz+3EqyZKEVIK5FGAxX8U4+dsx2BecFUni4jHS+60l+uFBN6k9uTHEOQ+jul8FICzNpPStjY6LS9Y1dqRCiDVKNSB8Ujj3pU5ht37XFRzP413LTqwCmlRKQVSCqQUKEsBeRIaIu9FifMfc1nSxqbQ9hRIBZC2p+ky5cjOy/9g6iWlz86cOfNnTvhlyjBNnFIgpUBKgbahQN2MGTOOJauN6uvrPZpLtYwQo7xJY6pRIBVAqlGoE+JR5Y7lbHV7YItUCOmEDkiLTCmQUiBBATdCjY2Np8CTNuWoeGfvOCUQUk9KgVZQIBVAWkG0jkgyfvz4d9GG7IS68+lZs2b5Zr8jik3LSCmQUiClQBEFsjzoWfhSzRd6izJJA1IKFFAgFUAKCNLFvE1M+AfS3UYX65W0OikF/sMoIA+SF9Hskq+SCE9NSoEWUyAVQFpMsjRBSoGUAikFqlEgjU8pkFKgGgVSAaQahdL4lAIpBVIKpBRIKZBSoM0p8P8AAAD//1ay8lUAAAAGSURBVAMAOyiKqL53WI0AAAAASUVORK5CYII=\" width=\"272\" height=\"19.5\" style=\"width: 272px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the step number ( starting from 1 ).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e4. Quantum Spin Exclusion:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAkCAYAAAANdf2OAAAGWUlEQVR4AeyZaWhcVRTH3yxJmolG9DUJptkmCYkV6tZqixtuVBSKLYJW0NIqfvBDcQMpofpBtFAXDBUKKs0XERoUW2kLUhWRlpCmplqlaZ2mySQmdoklGpPYTJbp7zzmDm+GWZN5MxN44fznru+8c//v3PPOfXFq9p+lDNgEW0qvptkE2wRbzIDF6m0Ptgm2mAGL1dsenGuC6+rqVnu93s/BKAiasC5F29zo2G26Lkh7COwoKyu7JkUdeTOtqqqquL6+/nnW01VbW3tjMsOSerDf7z/W39//HIo2gbA4HI7GcCNBBUMeZ+5m0xQf9XvR2zIyMjJOfVGIItbtdp8NBoN7wA2pGJ6UYKUEhZWqLiXtYikTobGxsYrxd4F57mHIHaBv0QieuqGgoGAvBjfjLB7KlCVVgt0ofjhKa1NUO7rpnpmZaaGzGcwCESm/oxIEi0UcJSUlh9jFT/T19W3D6EMgZUmJYLZHBRpvB2eBkEShVVZUVJRIJRZCoUHCyn7GrwCRS3Nzc6JD6mmBuPcacXs33pQ07qWlOPnkYE9PTyA0TRxDrT/UlbhIieDCwsLlqFkGvgRjQKS0qKioUCrRMIWGo4xJzDUeBGHl9OTk5J/0pS08GNlFLzmdzkGIboNob9pKcnBBSgRDzIPY9jflYcp/gEZ9KWFjidSjoEJDOaS8zditwBDmd873xabr+kdc/yz3vUi5BaJ97JKvgIQgQ38+/iQlWFIpFrUG40+yMD/lNNCoXwckdEgzDBYsWcMmxnZy3QUGFMEB+n6kPS/p7u6eJgZ+AdFe9BhEo+hJcIrwsY/75iXRSQn2eDzVLGg5ZB0ZHx+/TDnEokSK8aKIPNYUGjqYsIeUpp5SPYTBQCBwmvaCJAbRF7BpPUpPQfK34BbqDpAXkpRgl8t1B5aWOp3ODrb3BGT/RVukhIVdL5UQwqGB9na87V/GJbSoOP3L0NDQRcYyImaiuc9GILvrUZSfgOQjxOnV1HNOdDKCHcRRSc/O4Y1nMFjeoiojkDARPmywKCM0MOcDUprjptBClyYx+wcqMyCjIkSTV7frui67TBF9D47QiU0duSY6IcFNTU06hq6Ekd98Pt9lSiEqnGbhNUulzxQajjP/U/qCKrRQFxllJ/wsFasQg+hz3GsN9gjRXQ0NDQ/RdoGsSkKCOSjchDUNECnplnivRqjopU+JpG4qNCxj3jYJDTLocrkktKic1Tc9Pd0n/VZDEc3OWwu5J0L3W0X7IN68NdTOWpGQYIy6G0sCkBX2vtnZ2f/pU8l2JW/wp1jIZvAeW7WLMUMg+wGjwg/1nsHBQSO9o2mp4KnVENmGzX9wX3nI/3HD93nBVmNfK/WsSlyCMXIJpN2HNRHeRyy+RN8YEGlmETupnJyamvqM0vDympoaefmtoG2I0+mU+GuMGR0W/MjBA5vbcIo+7N7CLeRD0psQXcU74Y3h4WEjxNGfVYlLMIbKxx3JYY/hfaPKKoyXTEB5Yw39pSBiAXwYkfRMfas4j9errcrUzIoilofowzYhdpSH/jIpZTXEvtPb26ucIbM3TlFbXIIx+C50VGL0T5RhgSw5aAhU3y4WclQ1pGTOKkrxYnkpzvt4jI64EotYbH2BWF/r9/t3kVKKB8e9PlsD8Qh2Y4B8UB/D6IhPi3jGBB6iDhudxLZW5pq3v3wzkNSObk1SuXkfj7UYf9HEYoscnQ1iecG2kWvLOyLGlbnpikkwsWwlxD6GSYUswPwtV8Mz1GFDFvJWdGzjJXM/10nCT2HIhPG7wB/0VpPX7mVnGaEAuwbARl3XvdkilrRV0tKbZSnwcy3vI13qiRBBsBwOIHcHFx/gItniclr7moV9jOeolEu89QqL+4TQ8D3zDGHOOjKKfcTug3RIXKYwZLv0o/dpWrIzKNIXws4zXCU6znDv9X6/vxm0S1pGv6WC/StAK7v1V250JxApx6b9rPtDxh6hI+baIgjGO8cxugXiyoEjBKlvHRgYOI8SQ+h/kXmv0hCyKTSNvgN40gZKD1DXSumRfua3M3EhJzkJVWvRfRu6vkGXShWpWivY/zt4hftKRiJrMkC7EXteZ0wcLebaIgjW8viPxbSzGPlvSNaIzQQdi4bgTCw2Fzpsgi1m3SbYJthiBixWb3uwTbDFDCRSn4Ex24MzQGIiFVcBAAD//2R8RA0AAAAGSURBVAMAQM/SZ9ddsUgAAAAASUVORK5CYII=\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, particles must maintain a \"Spin Buffer\". If two particles have the same Spin \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eω\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at any node, an additional \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e50 ATP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is consumed due to interference.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.4667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21.2333px; text-align: left; transform-origin: 444.5px 21.2333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5. Predator Intercept:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e The Predator moves at a constant speed \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"52\" height=\"20\" style=\"width: 52px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. It starts at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003epred_start\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 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 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-1 ( Swarm Annihilated )\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [max_energy,best_path] = solve_exodus_singularity(nodes,pred_start,params)\r\n  [max_energy,best_path]=size(nodes);\r\nend","test_suite":"%% PHASE 1: 5D HYPER-TORUS GEOMETRY (5 Checks)\r\nclear n p;\r\np.M = 1; p.target = 2; p.ATP_total = 1000; p.V_base = 50;\r\nbase_node.mass = 0; base_node.res = 1;\r\nn = repmat(base_node, 1, 2);\r\nn(1).coord = [0,0,0,0,0];\r\n\r\n% Test 1-5: Quấn tọa độ Torus\r\nn(2).coord = [90,0,0,0,0]; [e1,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e1 - 990) \u003c 1e-4);\r\nn(2).coord = [0,90,0,0,0]; [e2,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e2 - 990) \u003c 1e-4);\r\nn(2).coord = [0,0,90,0,0]; [e3,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e3 - 990) \u003c 1e-4);\r\nn(2).coord = [0,0,0,90,0]; [e4,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e4 - 990) \u003c 1e-4);\r\nn(2).coord = [0,0,0,0,90]; [e5,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e5 - 990) \u003c 1e-4);\r\n\r\n%% PHASE 2: RELATIVISTIC DRAG \u0026 PREDATOR (5 Checks)\r\nclear n p;\r\np.M = 1; p.target = 2; p.ATP_total = 1000; p.V_base = 10;\r\nb.mass = 0; b.res = 1; n = repmat(b, 1, 3);\r\nn(1).coord = [0,0,0,0,0]; n(2).coord = [40,0,0,0,0]; \r\nn(3).coord = [42,0,0,0,0]; \r\n\r\n% Test 6-7: Predator Interception\r\n[e6,~] = solve_exodus_singularity(n, 3, p);\r\nassert(e6 == -1);\r\np.V_base = 1000; [e7,~] = solve_exodus_singularity(n, 3, p);\r\nassert(e7 \u003e 0);\r\n\r\n% Test 8-10: Path and Format check \r\np.V_base = 50; [e8, s8] = solve_exodus_singularity(n(1:2), 0, p);\r\nassert(abs(e8 - 960) \u003c 1e-4);\r\nassert(iscell(s8));\r\nassert(s8{1}(end) == 2); % So sánh numeric == numeric\r\n\r\n%% PHASE 3: EXPONENTIAL ENTROPY TAX (5 Checks)\r\nclear n p;\r\np.M = 1; p.target = 3; p.ATP_total = 1000; p.V_base = 50;\r\nb.mass = 0; b.res = 1; n = repmat(b, 1, 3);\r\nn(1).coord = [0,0,0,0,0]; n(2).coord = [10,0,0,0,0]; \r\nn(3).coord = [20,0,0,0,0]; n(3).res = 5;\r\n\r\n% Test 11-12: Forced Path 1-\u003e2-\u003e3 (Cost = 10 + 57.5 = 67.5)\r\n[e_tax, s_tax] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e_tax - 932.5) \u003c 1e-4);\r\nassert(length(s_tax{1}) == 3);\r\n\r\n% Test 13-15: Basic Tax check\r\nn(3).res = 1; [e_basic, ~] = solve_exodus_singularity(n, 0, p);\r\nassert(e_basic == 980);\r\nassert(true); assert(true);\r\n\r\n%% PHASE 4: QUANTUM SPIN \u0026 COMPLEXITY (5 Checks)\r\nclear n p;\r\np.M = 2; p.target = 2; p.ATP_total = 1000; p.V_base = 50;\r\nb.mass = 0; b.res = 1; n = repmat(b, 1, 2);\r\nn(1).coord = [0,0,0,0,0.5]; n(2).coord = [10,0,0,0,1.0]; % Spin Penalty\r\n\r\n% Test 16-17: Spin Penalty \r\n[e16,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e16 - 927.5) \u003c 1e-4);\r\nn(2).coord(5) = 1.1; [e17,~] = solve_exodus_singularity(n, 0, p);\r\nassert(abs(e17 - 977.5) \u003c 1e-4);\r\n\r\n% Test 18-20: Stress \u0026 Finalization\r\nrng(2026); for i=1:5, n_rnd(i).coord = rand(1,5)*100; n_rnd(i).mass=0; n_rnd(i).res=1; end\r\np_r.M = 1; p_r.target = 5; p_r.ATP_total = 1000; p_r.V_base = 50;\r\n[er, sr] = solve_exodus_singularity(n_rnd, 0, p_r);\r\nassert(er \u003e 0);\r\nassert(iscell(sr));\r\nassert(length(sr) == 1);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":4945722,"edited_by":4945722,"edited_at":"2026-03-22T14:34:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-03-22T14:30:22.000Z","updated_at":"2026-03-22T19:52:48.000Z","published_at":"2026-03-22T14:30:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Swarm has reached the edge of the known universe, entering the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5th Dimension (The Void)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Here, Euclidean geometry is replaced by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHyper-Torus Topology\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and energy is taxed by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eUniversal Entropy\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. To reach the final gate, you must navigate a swarm of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eparticles through a 5D coordinate system: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left[x,y,z,\\\\psi,\\\\omega\\\\right], \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\psi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis the Phase Shift and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\omega\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the Spin Frequency.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eObjective\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[max_energy, best_path] = solve_exodus_singularity(nodes, pred_start, params)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that calculates the maximum remaining energy and the optimal path for a swarm.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Laws of the Void:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1. 5D Hyper-Torus Distance:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e All dimensions have a period \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL = 100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The distance between two points is the L-inf (Chebyshev) distance across the 5-dimensional Torus.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2. Relativistic Drag\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV_{eff\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e): The swarm's velocity is not constant. It decays vased on the current energy \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eE\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eand the node's mass \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV_{eff} = \\\\frac{V_{base}}{1+\\\\frac{m}{E}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3. Exponential Entropy Tax:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Each jump increases the Void's entropy. The cost of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th jump is:  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eCost = (Dist \\\\times Saturation \\\\times Res) \\\\times 1.15^{(n-1)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the step number ( starting from 1 ).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e4. Quantum Spin Exclusion:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eM \u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, particles must maintain a \\\"Spin Buffer\\\". If two particles have the same Spin \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\omega\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at any node, an additional \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e50 ATP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is consumed due to interference.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5. Predator Intercept:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e The Predator moves at a constant speed \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV_{p} = 15\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. It starts at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003epred_start\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and moves directly toward the swarm's next intended node. 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