{"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":61279,"title":"The Omega Protocol: Hyper-dimensional Navigation and the Singularity Constraint","description":"Description\r\n[EMERGENCY TRANSMISSION - GALACTIC COMMAND]\r\nSubject: Mission Omega-7 - Navigation through the K-94 Tesseract Anomaly.\r\nBackground:\r\nThe Omega-7 probe has entered a non-Euclidean hyper-dimensional region known as a Tesseract Grid. The probe’s onboard computer is failing, and you must provide a sequence of movements to reach the \"Stability Core\" before the probe's energy reserves deplete or it is crushed by a Quantum Anomaly.\r\n1.The 4D Toroidal Spacetime:\r\nThe grid is a 4-dimensional hyper-cube of size . Coordinates are given as  where  . The space is toroidal in all four dimensions: moving from in any direction with a step of results in 0.\r\n2.Goal Decoding (The Eigen-Lock):\r\nThe coordinates of the Stability Core  are hidden within a 4 x 4 Quantum Matrix M. To decode :\r\nFind the four eigenvalues of .\r\nTake the absolute value of each eigenvalue.\r\nSort these values in ascending order: \r\nApply a permutation vector  ( where P contains indices 1 to 4) such that \r\nThe final coordinates are \r\n3.Dynamic Quantum Anomalies (4D Cellular Automata):\r\nThe grid is infested with anomalies. Let  be a logical 4D array where  means an anomaly exists. The field evolves every second  based on the number of neighbors (where each cell has  - 1 = 80 neighbors):\r\nBirth: A cell becomes active if it was dead and has exactly  neighbors.\r\nSurvival: An active cell remains active if it has between  and  neighbors.\r\nEnergy Flux: Each active neighbor of a cell at time  increases the \"Action Cost\" of moving into that cell by 0.1\r\n4.Space Warping ( The Wormhole Effect ):\r\nThere are two special coordinates,  and . If the probe enters  at time , it is instantly transported to  at time  (and vice versa) with a fixed cost of 0.5, regardless of local anomalies.\r\n5.Energy and Action Constraints:\r\nMax Energy: The probe starts with .\r\nConsumption: Each move (including staying still) consumes 1.0 unit of energy. If , the mission fails.\r\nAction Cost: The total \"Action\" to be minimized is the sum of costs:\r\n                                \r\nMovement: In one second, the probe can move to any of its 80 neighbors or stay in place. However, it cannot enter a cell that is currently \"Active\"  at time .\r\nGoal: Find the minimum total Action to reach  steps and before energy runs out.\r\n","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: 980.333px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 490.167px; transform-origin: 468.5px 490.167px; 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; \"\u003eDescription\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; \"\u003e[EMERGENCY TRANSMISSION - GALACTIC COMMAND]\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; \"\u003eSubject\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: Mission Omega-7 - Navigation through the K-94 Tesseract Anomaly.\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; \"\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 \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-style: italic; \"\u003eOmega-7 \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=\"\"\u003eprobe has entered a non-Euclidean hyper-dimensional region known as a Tesseract Grid. The probe’s onboard computer is failing, and you must provide a sequence of movements to reach the \"Stability Core\" before the probe's energy reserves deplete or it is crushed by a Quantum Anomaly.\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; \"\u003e1.The 4D Toroidal Spacetime:\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=\"\"\u003eThe grid is a 4-dimensional hyper-cube of size \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"101\" height=\"18\" style=\"width: 101px; 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. Coordinates are given as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"63\" height=\"18\" style=\"width: 63px; 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=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"53\" height=\"18\" style=\"width: 53px; 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 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"113.5\" height=\"18\" style=\"width: 113.5px; 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 space is toroidal in all four dimensions: moving from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39.5\" height=\"18\" style=\"width: 39.5px; 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=\"\"\u003ein any direction with a step of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"18\" style=\"width: 21px; 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=\"\"\u003eresults in 0.\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; \"\u003e2.Goal Decoding (The Eigen-Lock):\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=\"\"\u003eThe coordinates of the Stability Core \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"112.5\" height=\"20\" style=\"width: 112.5px; 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 are hidden within a 4 x 4 Quantum Matrix \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; \"\u003eM\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 decode \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"18\" style=\"width: 14.5px; 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:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 108.767px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 54.3833px; transform-origin: 451.5px 54.3833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the four eigenvalues of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAkCAYAAADsHujfAAADBElEQVR4AeyWTWgTURDHk2wuHlqJSAwaySYB0Vv05hdYKIKCXiwqgj179+xBPHv3rFCoqCBSvRQUpPSgkkoFT/nCIK2IwYYiaD78zfo2vH1usrs5FIWE+e+bN2/mzX/nzW42EftHfhMi5kFMKvJ/VMS27Rv5fH4D9H3QwXbRvJNh81wuh3u+ysVvry3sd/VYT4/U6/V7tVotE4/HT+PUArpY/X7/CoYkCJREInEepzww5RY5UuCmvuAh4i602+01kpaZ/wQDgeBssVg8PDAMUQqFwm6W5kAb6NKC4AsMXeARXyKuB4mfoH8BrqQhKAncue/Y6/WOq4WXanQGYr91Op3PzsS4jCRC4AewrMcwv8T57tNthi5Hdx3bI2AeLyZ/CSLyi7AHQD+iI5CZweYrcnRU8hBVee7rMMQ4kojEcKarJH4ruoKFbT6bze5Sc8+A7xxYbzQadc9CwCSQSLVa/c4dLuj7kOikZVkl3Sa6OrIL6A9BH4SWQCKykypzTXSFaapyDT0OBgLBGbDN2urAGFIJRaTRaHwigbn5GSqQdvPIUUFgnvmiVJExkoQiwo4dMLJp5agge1BVD/doEpZIjLsd1bRx1uWoXlG9SE3q0g1NRMo9rGn5X7HZ8CzrTxkjNSn+joQmIt6q7H81Lccib9JNfN6AsSQSEVX2JSPTZXrjNraxmpQ4RyIRIaJPVeSdsoXuijw5FvZIb1I32B2jEol1u901emHF3UCNS6paahp9iEyk2Wz+4O7vk6oLRLYhtogyVpMS58hIIiQ44HgZF+zy9/5RzPTHe8Z1ECjE7Ukmk/v9HH2JTE1NlQg6SsBVHs0TjB7h62qT9cdiZFyQR1t0HbZtlyB5Srehp6jmOUYLeMRDhGD5Zv3KBq/xSoE0L6oVXuUbssZ8IBB4xqTMxp4m5etsVvxZL4MiPqbcYb0FAr9Z93LHcQMZ+Z7Vd6xUKu/wOUaT6u+VGNVZxp4B5h76fJr14G9WPeFO6Z6j2amkf/J4rxMi3nrEYpOKTCpiVsCc/wYAAP//VU/6VgAAAAZJREFUAwCgHU9Y/abIRAAAAABJRU5ErkJggg==\" width=\"17\" height=\"18\" style=\"width: 17px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTake the absolute value of each eigenvalue.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSort these values in ascending order: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"111\" height=\"20\" style=\"width: 111px; height: 20px;\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 24.9667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 12.4833px; text-align: left; transform-origin: 423.5px 12.4833px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eApply a permutation vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"12\" height=\"18\" style=\"width: 12px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 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=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eP c\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eontains indices 1 to 4) such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"153\" height=\"24.5\" style=\"width: 153px; height: 24.5px;\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe final coordinates are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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\" width=\"124\" height=\"20\" style=\"width: 124px; height: 20px;\"\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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.Dynamic Quantum Anomalies (4D Cellular Automata):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.0333px; 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 21.0167px; text-align: left; transform-origin: 444.5px 21.0167px; 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 grid is infested with anomalies. Let \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"28.5\" height=\"18\" style=\"width: 28.5px; 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 be a logical 4D array where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"110.5\" height=\"18\" style=\"width: 110.5px; 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 means an anomaly exists. The field evolves every second \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"69\" height=\"18\" style=\"width: 69px; 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 based on the number of neighbors \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eK\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 each cell has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16\" height=\"19.5\" style=\"width: 16px; 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 - 1 = 80 neighbors):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 62.3333px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 31.1667px; transform-origin: 451.5px 31.1667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBirth\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: A cell becomes active if it was dead and has exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eB\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e neighbors.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSurvival\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: An active cell remains active if it has between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"26.5\" height=\"20\" style=\"width: 26.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"28\" height=\"20\" style=\"width: 28px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e neighbors.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEnergy Flux\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: Each active neighbor of a cell\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eB\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e increases the \"Action Cost\" of moving into that cell by 0.1\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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; \"\u003e4.Space Warping ( The Wormhole Effect ):\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=\"\"\u003eThere are two special coordinates, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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 and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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. If the probe enters \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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 at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003et\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 is instantly transported to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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 at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"32\" height=\"18\" style=\"width: 32px; 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 (and vice versa) with a fixed cost of 0.5, regardless of local anomalies.\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; \"\u003e5.Energy and Action Constraints:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 62.3333px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 31.1667px; transform-origin: 451.5px 31.1667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eMax Energy\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: The probe starts with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"29.5\" height=\"20\" style=\"width: 29.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eConsumption\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: Each move (including staying still) consumes 1.0 unit of energy. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the mission fails.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eAction Cost\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: The total \"Action\" to be minimized is the sum of costs:\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 36.0667px; 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 18.0333px; text-align: left; transform-origin: 444.5px 18.0333px; 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:-15px\"\u003e\u003cimg 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\" width=\"274.5\" height=\"36\" style=\"width: 274.5px; height: 36px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 20.4333px; transform-origin: 451.5px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 20.4333px; text-align: left; transform-origin: 423.5px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eMovement: In one second, the probe can move to any of its 80 neighbors or stay in place. However, it \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecannot\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e enter a cell that is currently \"Active\" \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50\" height=\"18\" style=\"width: 50px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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; \"\u003eGoal\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: Find the minimum total \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; \"\u003eAction\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 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"156.5\" height=\"18\" style=\"width: 156.5px; 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 steps and before energy runs out.\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\u003c/div\u003e\u003c/div\u003e","function_template":"function min_action = solve_omega_protocol(N, start_pos, QM, P, Rules, InitialObs, E_max, Warps)\r\n  min_action = false;\r\nend","test_suite":"%% Test: Complex Eigen-Lock \u0026 Toroidal Warp\r\nN = 10;\r\nS = [0,0,0,0];\r\nQM = [2 3 0 0; -3 2 0 0; 0 0 5 0; 0 0 0 1]; \r\nP = [1, 2, 3, 4];\r\nRules = [99, 99, 99]; \r\nE = 100;\r\nWarps = [1,1,1,1; 0,0,0,0]; \r\n\r\nactual = solve_omega_protocol(N, S, QM, P, Rules, [], E, Warps);\r\n\r\nassert(abs(actual - 4.5) \u003c 1e-6);\r\n\r\n\r\n\r\n%% Setup chung\r\n\r\n\r\n%% Test 1: Di chuyển cơ bản (Moore Neighborhood)\r\n% Giải thích: Goal là [1,2,3,4]. Từ [0,0,0,0], bước xa nhất là 4 đơn vị (ở trục w).\r\n% Vì dùng Moore move, mỗi bước có thể thay đổi tất cả tọa độ thêm 1.\r\n% Cần đúng 4 bước. Cost = 4.0\r\nN1 = 10;\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nstart1 = [0,0,0,0];\r\nQM1 = diag([1.1, 2.1, 3.1, 4.1]); \r\nP1 = 1:4;\r\nout1 = solve_omega_protocol(N1, start1, QM1, P1, Rules, [], E_max, [9,9,9,9; 9,9,9,9]);\r\nassert(abs(out1 - 4.0) \u003c 1e-6, 'Test 1 Failed: Di chuyển cơ bản phải tốn 4.0 đơn vị');\r\n\r\n%% Test 2: Sử dụng Warp (Siêu không gian)\r\n% Giải thích: Goal ở [10,10,10,10]. \r\n% Lộ trình: [0,0,0,0] --(1 bước)--\u003e [1,0,0,0] --(Warp)--\u003e [9,10,10,10] --(1 bước)--\u003e [10,10,10,10]\r\n% Tổng cost: 1.0 (move) + 0.5 (warp) + 1.0 (move) = 2.5\r\nN2 = 20;\r\nstart2 = [0,0,0,0];\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nQM2 = diag([10.1, 10.1, 10.1, 10.1]);\r\nP2 = 1:4;\r\nWarps2 = [1,0,0,0; 9,10,10,10];\r\nout2 = solve_omega_protocol(N2, start2, QM2, P2, Rules, [], E_max, Warps2);\r\nassert(abs(out2 - 2.5) \u003c 1e-6, 'Test 2 Failed: Warp shortcut phải tốn 2.5 đơn vị');\r\n\r\n%% Test 3: Vật cản và Chi phí hàng xóm (Neighbor Penalty)\r\n% Giải thích: Start [0,0,0,0], Goal [1,1,1,1].\r\n% Có 2 vật cản tại [1,0,0,0] và [0,1,0,0].\r\n% Khi di chuyển từ Start tới Goal, tại t=1, ô Goal có 2 hàng xóm là Anomaly.\r\n% Cost = 1.0 + 0.1 * (2 hàng xóm) = 1.2\r\nN3 = 5;\r\nstart3 = [0,0,0,0];\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nQM3 = diag([1.1, 1.1, 1.1, 1.1]);\r\nP3 = 1:4;\r\nInitialObs3 = [1,0,0,0; 0,1,0,0];\r\nRules3 = [100, 0, 100]; % Giữ vật cản đứng yên\r\nout3 = solve_omega_protocol(N3, start3, QM3, P3, Rules3, InitialObs3, E_max, [4,4,4,4; 4,4,4,4]);\r\nassert(abs(out3 - 1.2) \u003c 1e-6, 'Test 3 Failed: Neighbor penalty phải tính đúng 1.2');\r\n\r\n%% Test 4: Trạng thái Goal ngay tại Start\r\n% Giải thích: Nếu start trùng goal, min_action phải bằng 0.\r\nN4 = 5;\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nstart4 = [1,2,3,4];\r\nQM4 = diag([1.1, 2.1, 3.1, 4.1]);\r\nP4 = 1:4;\r\nout4 = solve_omega_protocol(N4, start4, QM4, P4, Rules, [], E_max, [0,0,0,0; 0,0,0,0]);\r\nassert(out4 == 0, 'Test 4 Failed: Start trùng Goal phải trả về 0');","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":4945722,"edited_by":4945722,"edited_at":"2026-03-18T14:51:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2026-03-18T14:51:31.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-03-17T16:06:29.000Z","updated_at":"2026-03-22T13:14:17.000Z","published_at":"2026-03-17T16:06:29.000Z","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\u003eDescription\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\u003e[EMERGENCY TRANSMISSION - GALACTIC COMMAND]\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\u003eSubject\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Mission Omega-7 - Navigation through the K-94 Tesseract Anomaly.\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\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOmega-7 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprobe has entered a non-Euclidean hyper-dimensional region known as a Tesseract Grid. The probe’s onboard computer is failing, and you must provide a sequence of movements to reach the \\\"Stability Core\\\" before the probe's energy reserves deplete or it is crushed by a Quantum Anomaly.\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.The 4D Toroidal Spacetime:\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 grid is a 4-dimensional hyper-cube of size \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 \\\\times N \\\\times N \\\\times N\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Coordinates are given as \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(x,y,z,w)\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\u003ex,y,z,w\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\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\\\\in \\\\{0,1,...,N - 1\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The space is toroidal in all four dimensions: moving from \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 -1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003ein any direction with a step 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\u003e+1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eresults in 0.\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.Goal Decoding (The Eigen-Lock):\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 coordinates of the Stability Core \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\\\\textbf{G} = (x_{g},y_{g},z_{g},w_{g})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are hidden within a 4 x 4 Quantum Matrix \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. To decode \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\\\\textbf{G}\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the four eigenvalues 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\u003e\\\\textbf{M}\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTake the absolute value of each eigenvalue.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSort these values in ascending order: \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\\\\lambda_{1} \\\\leq \\\\lambda_{2} \\\\leq \\\\lambda_{3} \\\\leq \\\\lambda_{4}.\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eApply a permutation vector \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\\\\textbf{P\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:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP c\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eontains indices 1 to 4) such that \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\\\\textbf{G}_{raw} = \\\\left[\\\\lambda_{P_{1}} , \\\\lambda_{P_{2}},\\\\lambda_{P_{3}},\\\\lambda_{P_{4}} \\\\right]\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe final coordinates are \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\\\\textbf{G} = \\\\lfloor \\\\textbf{G}_{raw} \\\\rfloor ( \\\\text{mod} N)\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.Dynamic Quantum Anomalies (4D Cellular Automata):\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 grid is infested with anomalies. Let \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\u003eA(t)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e be a logical 4D array 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\u003eA(x,y,z,w,t) = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e means an anomaly exists. The field evolves every second \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(t \\\\rightarrow t + 1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e based on the number of neighbors \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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e(where each cell has \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\u003e3^{4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e - 1 = 80 neighbors):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eBirth\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: A cell becomes active if it was dead and has exactly \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\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e neighbors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eSurvival\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: An active cell remains active if it has between \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\u003eS_{min\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003eS_{max\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e neighbors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eEnergy Flux\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Each active neighbor of a cell\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\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e increases the \\\"Action Cost\\\" of moving into that cell by 0.1\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e4.Space Warping ( The Wormhole Effect ):\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\u003eThere are two special coordinates, \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\u003eW_{1} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003eW_{2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If the probe enters \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\u003eW_{1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, it is instantly transported to \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\u003eW_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et + 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (and vice versa) with a fixed cost of 0.5, regardless of local anomalies.\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.Energy and Action Constraints:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eMax Energy\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: The probe starts with \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_{max\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eConsumption\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Each move (including staying still) consumes 1.0 unit of energy. 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\u003eE \u0026lt; 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the mission fails.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eAction Cost\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: The total \\\"Action\\\" to be minimized is the sum of costs:\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\u003e\\\\text{StepCost} = 1 + \\\\frac{\\\\text{Number of Active Neighbors}}{10\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMovement: In one second, the probe can move to any of its 80 neighbors or stay in place. However, it \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecannot\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e enter a cell that is currently \\\"Active\\\" \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(A = 1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGoal\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Find the minimum total \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAction\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to reach \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\\\\textbf{G} \\\\text{ from } \\\\textbf{S} \\\\text{ within } T \\\\leq 100 \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e steps and before energy runs out.\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\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":61279,"title":"The Omega Protocol: Hyper-dimensional Navigation and the Singularity Constraint","description":"Description\r\n[EMERGENCY TRANSMISSION - GALACTIC COMMAND]\r\nSubject: Mission Omega-7 - Navigation through the K-94 Tesseract Anomaly.\r\nBackground:\r\nThe Omega-7 probe has entered a non-Euclidean hyper-dimensional region known as a Tesseract Grid. The probe’s onboard computer is failing, and you must provide a sequence of movements to reach the \"Stability Core\" before the probe's energy reserves deplete or it is crushed by a Quantum Anomaly.\r\n1.The 4D Toroidal Spacetime:\r\nThe grid is a 4-dimensional hyper-cube of size . Coordinates are given as  where  . The space is toroidal in all four dimensions: moving from in any direction with a step of results in 0.\r\n2.Goal Decoding (The Eigen-Lock):\r\nThe coordinates of the Stability Core  are hidden within a 4 x 4 Quantum Matrix M. To decode :\r\nFind the four eigenvalues of .\r\nTake the absolute value of each eigenvalue.\r\nSort these values in ascending order: \r\nApply a permutation vector  ( where P contains indices 1 to 4) such that \r\nThe final coordinates are \r\n3.Dynamic Quantum Anomalies (4D Cellular Automata):\r\nThe grid is infested with anomalies. Let  be a logical 4D array where  means an anomaly exists. The field evolves every second  based on the number of neighbors (where each cell has  - 1 = 80 neighbors):\r\nBirth: A cell becomes active if it was dead and has exactly  neighbors.\r\nSurvival: An active cell remains active if it has between  and  neighbors.\r\nEnergy Flux: Each active neighbor of a cell at time  increases the \"Action Cost\" of moving into that cell by 0.1\r\n4.Space Warping ( The Wormhole Effect ):\r\nThere are two special coordinates,  and . If the probe enters  at time , it is instantly transported to  at time  (and vice versa) with a fixed cost of 0.5, regardless of local anomalies.\r\n5.Energy and Action Constraints:\r\nMax Energy: The probe starts with .\r\nConsumption: Each move (including staying still) consumes 1.0 unit of energy. If , the mission fails.\r\nAction Cost: The total \"Action\" to be minimized is the sum of costs:\r\n                                \r\nMovement: In one second, the probe can move to any of its 80 neighbors or stay in place. However, it cannot enter a cell that is currently \"Active\"  at time .\r\nGoal: Find the minimum total Action to reach  steps and before energy runs out.\r\n","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: 980.333px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 490.167px; transform-origin: 468.5px 490.167px; 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; 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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; \"\u003e[EMERGENCY TRANSMISSION - GALACTIC COMMAND]\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; \"\u003eSubject\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: Mission Omega-7 - Navigation through the K-94 Tesseract Anomaly.\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; \"\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 \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-style: italic; \"\u003eOmega-7 \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=\"\"\u003eprobe has entered a non-Euclidean hyper-dimensional region known as a Tesseract Grid. The probe’s onboard computer is failing, and you must provide a sequence of movements to reach the \"Stability Core\" before the probe's energy reserves deplete or it is crushed by a Quantum Anomaly.\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; \"\u003e1.The 4D Toroidal Spacetime:\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=\"\"\u003eThe grid is a 4-dimensional hyper-cube of size \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"101\" height=\"18\" style=\"width: 101px; 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. Coordinates are given as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"63\" height=\"18\" style=\"width: 63px; 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=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"53\" height=\"18\" style=\"width: 53px; 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 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"113.5\" height=\"18\" style=\"width: 113.5px; 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 space is toroidal in all four dimensions: moving from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39.5\" height=\"18\" style=\"width: 39.5px; 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=\"\"\u003ein any direction with a step of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"18\" style=\"width: 21px; 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=\"\"\u003eresults in 0.\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; \"\u003e2.Goal Decoding (The Eigen-Lock):\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=\"\"\u003eThe coordinates of the Stability Core \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"112.5\" height=\"20\" style=\"width: 112.5px; 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 are hidden within a 4 x 4 Quantum Matrix \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; \"\u003eM\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 decode \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"18\" style=\"width: 14.5px; 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:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 108.767px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 54.3833px; transform-origin: 451.5px 54.3833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the four eigenvalues of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"18\" style=\"width: 17px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTake the absolute value of each eigenvalue.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSort these values in ascending order: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"111\" height=\"20\" style=\"width: 111px; height: 20px;\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 24.9667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 12.4833px; text-align: left; transform-origin: 423.5px 12.4833px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eApply a permutation vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"12\" height=\"18\" style=\"width: 12px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 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=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eP c\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eontains indices 1 to 4) such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATIAAAAxCAYAAABZJSXfAAAQAElEQVR4AeydCXSc1XXHv9FmyxJGXuVFq6XIYIgxgTgJUJ9QSI+pcQyExoHjsgRCMRQMhMWl4FN8ikMNpU5NnBjihoalpRgINGnShLAECDEgEhywHaHRYlsGrzJGkrHW/P5P8w2j2TSyZ0Yz46fz7rz1e+/d++6777773vcpy7F/lgKWApYCaU4BK8jSfABt9y0FLAUcxwoyywWWApYCaU8BK8jSYAhtFy0FLAWiU8AKsuj0GZbcysrKh4G+IHh4WDpjG7UUSBIFysvLJ1dUVNQH8b3mwfzBumAF2WAUGt78rzY2Nnp8cNnwdsW2bimQWAo0Nzd/0NTUVO3jdw+t/ScQk7OCLCYy2UKWAoNQwGYPKwWsIBtW8tvGLQUsBeJBASvI4kFFW4elgKXAsFIgZkFWVVVVOm3atLswxL0NdAAywsnfRPo9QA2YaF/rYLCbS/5DxK2zFLAUsBRIOAUGFWQSYJWVlet7e3sb+/r6/pEeNWRlZc3EIJcFHEP610gfC7yH8NoEPOzxeB6kXC5gXRIocMopp+SyeKyA9lpYNlRXV5ckodl4N+FhMVwMDq1AI/jMincDSagvE3BwOD08mTH4IyB+ui4JdDviJqIKMhhrHoLqHVr5GuAgoO5AeC30er31xPuAnubm5s2kXUXeacTzgEuBUsC6JFFg7969V0D/b9NcFzC7u7v7Yvy0ckyas1kM7/V1ugL/esBo+Php4TIBBxSXiSgqP4LgZYCUketLSkqmEk5pF1GQSYjBWI/Q+zGA3Cv8fB/oAUJcQ0PDm5SfR8ZWwLokUaCmpmY8Quwimpvf2dk5Df93xE/FzwHSwlVUVIyEd66ms0uys7Mn4T8BDjPKysqKCKeFywQcROienp7zGYtNbW1tEl6XkzYxLy+vEj+lXVhBxspSTq9XAq4Q6wG5tQirj0iL6JqamrZQ7lYKdALWJYECaF+zoHltY2Pjr1paWvbS5BvEx02YMGEk4bRw9LcSwdXe1dX1eH19/SHiLwIS0BaHJI6ghDHj8CUWkxW7d+9uYzdWS/PtjIUrB4impgsnyDx0/AZgRkCXG5kw0sgCksIHKfccxPh1+FybGm8KsLg8zwJyE/Vqq+8wbi2E08r5zBOXbN++/aA6Dv/skJ9OkAk4wEefYCa6zOv1vuuj/X74qcMXTmkvRJBh6DsORloY1OstOTk5Wu2DkkOjYkYk+b+TI3sNnnWWApYClgKJpUCIIEOIzaHJyUCga5C0DkyIFqbsL5Ds34pWxuYljgKM4Q62Bu2JayHxNYPD9pEjR7YlvqXEtRAGh8Q1lqCaweEA8GGCqo9bteEE2ZeCa0e9TLvtSjAOR0OcA5pjYbpzwFUHMmarSTitnK6SwG8yOPfs27fP4jCMowcvSamZgt87jN2IqekBggwDcSFMdFRfncDgeSuHHbrse6Qw6Bv7MY1Q7IVk27yZ4l8G0nZbj/BayMS5BOjJyspKS0GWCThUVVVVMwY68MvmJFMLI2yVum6AIEvdbtqeDUYBtLELKKO7ZDL4v084xJWUlORjAz0fQf0m4ArqPyC8nya+G/gt9ejOYHbIw0lIoP3ZNPOvgNrfsXPnzrDbY/r7BWAd5bsB4bGLfv8XYS/wPuG7qqurR1NP0h3tpz0O0O9Y7NxrIF4Zis1HwE7CIQ5eOp5xcC9iaxwOgP960t7F3wo8gEBMimIUT0EWgmg6JmDfW4l9z/10zpH4/5ss/GEYXZdZTnv5QESngxhO156BMZ9UIXwvWs98cJYQPJUV+FjS1sPIt5Cf1MuotHksbf4zMBGI6ujvhuzsbE20AxTsod+LOb29aOzYsccRfwEclqFFPOurk6TkOF97aY0DlJJmfxX+XwJRHby0GVqvBswpM+OwgrnzN4zPZ3lwNXA1AvF5BJsuOBNNnBsgyDAQf0JnYjqdVJeYQMuBZqALkEQOB5LSmmR6xEKcKSBzAFWuhZl0XeZd/BbGcDNpER35n/FlvlNUVGQMuTBgM8/+ROkw3yI0mvEKJwlyaPM7tPUVoAmooy+b8CO67u5uCbzRlFP/N6pgbW1tF7jpErc0udPJ+4LSkwSZgIPDPJZJ5C5oprugunLV3NHR8THxsA56FwNahNpZPDZQSOaAPsJPEZaAqyFfF+WJJs4NEGQ00w2EbEvoiMv4ZH/qYP5lQDmr+vGUCWE8GGlVV1dXMWWWffqUDcWRAp7CwsLF1Hc20IowEJ0/IRzRlZWV6XKjVkyHcXuTya8xN+UZL3PhmbEcRcIIICkOTWYBberDkZo8d9OP7YM1TN/PoEw2z4lfdxE2jrjuoqmeXMKFJjEJP5mAA0KsHJppQclnDP4bsv0SiOoYhxMoMJ7yH+bk5OjVRaKOXmc8SJrGweFPgg4vcS5YkKkDP6c5rWh4fjcJ9XCkPxYU8Hq99XT6zaDkVtT/R7WdCUp3qKsIos3WHps8D/FZMMJZOrEi7rps5VPuQl/+ZwjPp5yIkq29N/Gv+DQS9xmtKOXYgvR6hUmjXLXKkRZ122UKp9kPeGky30G3NaFX5ubm1sGImsCazCSHOsroNSZ9qSRwBTUFeVa0VbgZoRhxFVaBeIHGB965n/o0eR5j4fs5/ZA2aIQq6SFOY84zX1QGZTewrdQWU1HZBzXOeudXgj0pp+2ZgINv7v0LdJVmXwcxtYuaAH07CgoK/Isd6YHOA5+c5Uvwa/eKU08+z2octPX/k9ISCSGCrLOzs5YO/Cao0RPoWPDdsqAiIdH91DPASMh2pQShdDXpUkF/izQ/kcm4kvhb1P88pz1zVQtpM4FXEYQL2trafkG5ueSLuHeSPxFhdh4ElJ3nZ2gkelmdZMchXRPxISbreSaBH8rdhvdL0r6JP6ijf2lxagl9tHr+AIRk1H4J//vQSItNN/RsJR7WofLrPcwxZDZCV78WDd6yY1xIuk6o1gcKB9IS4jRejI9sXWU0oPFdzpj3gkcBOGhbQnKoGzVqVCn5x5PTyfPCXdsZR5ORuMa5gLzX2tvb38NPqMsEHCCQh7l3A77GvxP6L8POpS2+5tNewmG1/JqamnGMwyk85+C/gHbvnpZ70M6+TroM/e8xJq8RTqgLEWTSoEBE6qV/laMHZXR0SPYG6uhlddWk4PF+V19fvx2i/JDYO+TLtiGbiCbdP5D2MhNrM4yh/fQLtPcsk+le7HZtlHUZUqtvPelPkf8Ez+jt/MBt7xWkyUipASDoOAgw1b2B8mrPpKX7jyYsONwOXbR6tuIvhSY6XcoiPdBI7ykuLtakJtm4HOhgVlCeqcM4vk91ofl+jnQtDNLW7mfc/oPSRjjgJ8oFGpX9k4fxknYpPPzt+nDw44Ww+xyZk8FhNzzjJewpLS2dwmRcBR6XEH+FvOvEO4QT6TIBB+1iPg+RdHUnG7o9Nm7cuKeJi946PSbY72bMmJEnfumPOQ52Sh2uVBFvR1iZRRHhNp45fBv1LCN9C+NxJXM+4XNvAMPQsHHYtF4loNMXVxCJuZZMnTp1HOlH5EC0iAqmg6B8Ccjv0d69wJchhr5rpkn0+scff/wA5Uz7EGUKYW0b9BKrmWBoFltIU75O7Bwm48mUW0SaVg9tnQg6DpNSg6GtUkyrAkRP+VPL1tZWfSNKQlsr4Ur6/IaQBf9J+GPwzbiitV2Tn58vmpDsOGyviwmcDOi5Aib+AwIEw0Jov4L0EsbhVi1mhIfk0OhGMgaT5cfyIH1zjcqBk0djrD4WwR9apBzqm4sG9k/UacYd37+doUwHuN5MXT9AA9C38t4Gj8+Cw5nQRBoFxWN3tJUaOPT2HjYOYCuzy0RwKSI8qNMuiULrAB2eGK1YmhXb9wJoq3mn+eOBxsUHDx58hHnpVxKgtXZDWig/Yiz+ljJrmW93U9cB4nNYKGc2NDQEm5zIjr8zDB+m2j6Y4T7SlwCuveWLeXl5KwIlMnnGMUG0HxYhTDzaT4AUz4JQq0DU2EJUB8/dDoiJ1wasploZpA3uYsK9Rb5xMK4MvNIaJ2vFJu96iKcjX6UZ4lNQzy4i/Scw9oBtLnlp6WCW2dBN22Xh+BJI6NNK7iQn6hSRPxtG1lbxIsJ+MwHjp+2YtnG70GRuZoz/TsAY3MZR+jOEI9FIjDyHtnX/TAJI7fiBdB341FLnDmitO126zuHPDw6oPOWk9eeT5588hP2Ofp+pgwnK3QT8v5vBQujfzpD2XfpscMC/FlgHHjqx1QJHdr9DQziDNl8CdILegf+y0vpz+39JS2kcGM9J9PFBQDjodoA+Pql3osXjBgnNTfLXIGB2QrM9PLNGaSYzzI/yUAjuJOtEwK8VEw50s1igJlGfPunzYV1d3R5lUvdI0v5CYeBp5tcV0N+MBfy0BnhLApG8SE48dQv9fZ/6h2q2CqkzkiBTQQmz74GobCq/UwJwFSv4b8QEIgJxY5digiyB8XSjXEkCqZS3w1QSNor7ASK7UvynCLWX3QwE0SzCZwJvHzp06HV84zCkVkEwbYf+hLT3G2/pl5hVUIrW8fe0v4OJ9Ct8va1fOn369MKKigpdTizD7qdrBYGT3dSdbj8+jfi79FuLRiu4mi0lceOgk7bpOqjRFkt3fDYyBjrVM/mUF33ziGwivA1/UFdWVjYDZnuGgjoEEi8QDHEzqU/bXGXoq8HXsqIXKhIMPr5xjcohk4cxFg56x3IxPKHTy160AJf/Arczwt+/sAW348bp+1fpm7ZK+kDojaTLTDGHtKfIE3+QZFzK4qBxZ2x/TJ/F/zpxlgDLI+3B8vJyc+ghDPbs2aPTQ80VRbWL+sb+/ftnKhIOmMuqx2j21O1uKU1RFAn3KtaJzCsd5t3A3PX/b1XC0tZOorCM+VpQhzS/6Pcsnr2Zdv2CmPhhu2iCzFS6devWTUja0yCatoNiwGNo/P8gQieMQLBvG0hp+/I/PHAlwmkq5WcAikvQkNzvKioqXCku5J8I3MJALE2y0bTzcktLy77+JxwPAutawtIi3qEv+wkbR8M7AWlzmkBi1tUIrHae14qRQ3gadS4FVge2Yx5Owx8JABYMbf8M44Knf0vpojNmzJgN0OTHxDuBJ8Fd9sFuwo4EC3nus7I1SnNVVlRgUWlmLM+nkGxoeGGd7nEFbiHK2Q4eE6ZkoFFZ28gBk0flGeNGcFtFWIbj1xFmVzKpJNhIchx4zV0I66GH7GMmPdwPC64u+C6hvsXgsARYx3bnNOigL6BOxNfHHN2JlJI4CK8RI0YspK+PNzU1LQcHjYfmlnhB88XVipzx48fvAVctOGbMeXYM9JLAITjQMXclxN23KMJpxTo00itKOnTZRT2Xsyj+3q2FcZEWN4V+yf4l2rlZg/riRXhT/deh06DlYykwqCDzVdKHqlgHLIWYJ0LM0YDHB6N9aZcRX7dt2zYhHlY6Q4wpjuOcBPJbWHn9WpevjRr55GmCmedhxAsYGKm0Dum1EP8M0kw5lfXBWPyH6MNO9vBdlJNGorstaxGC93q9oL6ZAwAABlJJREFU5rPcFElvJzUd+kp1N3RnLO4BI0MnfONUBjpcQ7kC4BLKSNCbPARL2JM+kxnlx/ea0IB2govTlibXbHyGy6NXnCJdouyjjOyhOfge+vpN9TmoPvHa/eTnA2frgMjND1gIlbSBbU7Uy9t0Ru8LehHwz+kBgdpjEj1OWMK+nEklG49DWymJA/2UDfFVDPCPEQ4cB32JWYqCfLIcR7iBx3VALoJGJ4a/B1fNR5Mf+EOZNwDd8RQ/TWcsQmyK8M9blJFiUokQk4AMrEKaXzb1b0RpkOYcmBc1XFBQIMVnN4X8mjbhI3KxCrIjasR9GOIaKQ6D1SLwBthjEECbVI68z8NchQisixF880j/GekHIFgFeedCNLMl0ideiIuAr5CnrU+fVm7SlD+C5/4N4gcLS6o6Oh20Dz7pizshpDVC979mDH6ksYh3A/CDtAttZ8zCRv2BE5voQFdUVLSxo6PjRk3wwBz6p+2rtPe99FOHQ/7sVMOBjvUgTDYG4QAKntPJewHeDxYwJDvagiv/PdHAJMTxB3ODNCnZrVXrRnY8A2ioxEjA4cIJdF6fZr8PXpHWHanokNKTKsjomaS4Tsy0Qmo1IanfYbyXuv8cyJ1bWFjoxZ/a3t4uA/4HlBgFE5cyaHdDNHP4wNaWIn37+LmLlcOveRBvhVDLWWHW81xURic/450OUdBkF0EXXXAU7ScQ/hY2Chn+44m/2TZSdxfbN12NiWfdDrbS0xHGsg9K0xAe32CxO5tGIv5vAk1+n0ZJsU8dfdRElCYmG627DVOBlMNBnQoCD5rp18FhAfS4MZD33XKM92zmwDXE7xAN8OPmxDfMQx0EGnsp/TiHtPPEZ4M1okWCXdJSnlnT1tbWMFj5oeQnVZCxsshOkQPx9R7WgH6yhdhN/gIgFygGzB0yfJ2u5SKYrqDMAfchVtI20i4AZGh0kx3iGlxtuwYISn+BoywgwQ8NHwWqAG0jRuDfiraq070I1BhycjaTS6dfedhIb4r35FFvvF7va/R7PiAcBHPho+fJCxRERGNyeiNCL8xrQXUfSHkcENynIqT05oO2mcchFF4hTfcuXRwchIpszd9G2CyCVs3+jDgFxDfMMZ1QGvMAbZxE2jPis8GaQPnQJ5py2Cbr8GWw4kPKT6ogG1LPbOF0okAPzC1DtF9jTtXOI3Ar0AjOR2O5E+EoM4Tb1ZTHAcEtm9U8+n4ynf4pMAZc7kG4FRM2DqHyIsJF/7IxEDeTN5w/PrpfTt/vTMRCZwXZcI6ubTupFNDWhgZ1B+9RhELctQLqTobroe9/xFasl+xlLNfXJXQlIxltH1YbojsCTO8EP8ni4X+x/LAqi/CQFWQRCGOTM44Cxv4lrLDhrcJPa/tpS0uLTmz1zbs8tDJdLAal1HRsKfX59dPZ7h5Ce7xQgB1c70PrE0DHkH4uW+JzYrGzRcLQCrJIlLHpGUUBbEl622AOk2ZpIrY2w0EsBJjsg3vwU2obGUwL+qd3Mo/D1+uHuo8oeAQtTdekdLn7QcKrObyI6bWq4PoVt4JMVLCQ0RRAiM3j1Pvirq6uS9mW+U+4ZbdBO9Bprl73Sjca6AMAOjl8jQOWhH8m50iI09TUFPL+MqeWulivr/l6GZsplKnGvqcbCofVlBVkh0W2o+4h3X5Px8nuIKj0bqpW/Ozc3NzvEF/rgx+iBeiVNt1fTOUT7hz6ex9C910Esu5faRx0BUMXj/XGy5JYTgwznWNTVZBlOt1jxe85mLjPB/733GJ9OB7lsF3oH0zoaoV7zH8Lk2qBLi3Ho/5E1sHE11sg+vS1LtIuoK2rAkDvGOp9whdJS2XXw5ZsG0K3DP9xaN8MP+gS7GS2Yn/FCWXcr1gMFzHgtcngVw9+hufpx6VATM4KspjIlNxCMOdlgCcIdEqV3I7QGur+ZtR+Xa0Y6+vPHOLP6h4f2Snt2EbW0efpQDAt3bg+lzPgDZMURKgPeusrH6OFB2F9amku/qrAe5Up2O+oXRL/gMNZgH9LCa99oLjwDAIdakStzwqyqOSxmZYClgLpQAEryNJhlFK0j7ZblgKpQgEryFJlJGw/LAUsBQ6bAlaQHTbp7IOWApYCqUIBK8hSZSRsPywFEkGBo6ROK8iOkoG2aFoKZDIFrCDL5NG1uFkKHCUU+DMAAAD//8IPGMwAAAAGSURBVAMApCtbF5rvTWUAAAAASUVORK5CYII=\" width=\"153\" height=\"24.5\" style=\"width: 153px; height: 24.5px;\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe final coordinates are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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\" width=\"124\" height=\"20\" style=\"width: 124px; height: 20px;\"\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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.Dynamic Quantum Anomalies (4D Cellular Automata):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.0333px; 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 21.0167px; text-align: left; transform-origin: 444.5px 21.0167px; 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 grid is infested with anomalies. Let \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"28.5\" height=\"18\" style=\"width: 28.5px; 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 be a logical 4D array where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"110.5\" height=\"18\" style=\"width: 110.5px; 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 means an anomaly exists. The field evolves every second \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"69\" height=\"18\" style=\"width: 69px; 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 based on the number of neighbors \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eK\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 each cell has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16\" height=\"19.5\" style=\"width: 16px; 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 - 1 = 80 neighbors):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 62.3333px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 31.1667px; transform-origin: 451.5px 31.1667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBirth\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: A cell becomes active if it was dead and has exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eB\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e neighbors.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSurvival\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: An active cell remains active if it has between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"26.5\" height=\"20\" style=\"width: 26.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"28\" height=\"20\" style=\"width: 28px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e neighbors.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEnergy Flux\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: Each active neighbor of a cell\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003eB\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e increases the \"Action Cost\" of moving into that cell by 0.1\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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; \"\u003e4.Space Warping ( The Wormhole Effect ):\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=\"\"\u003eThere are two special coordinates, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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 and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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. If the probe enters \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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 at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003et\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 is instantly transported to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21\" height=\"20\" style=\"width: 21px; 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 at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"32\" height=\"18\" style=\"width: 32px; 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 (and vice versa) with a fixed cost of 0.5, regardless of local anomalies.\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; \"\u003e5.Energy and Action Constraints:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 62.3333px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 31.1667px; transform-origin: 451.5px 31.1667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.4667px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.7333px; text-align: left; transform-origin: 423.5px 10.7333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eMax Energy\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: The probe starts with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAAoCAYAAABAZ4KGAAAGfElEQVR4AeyYe2zTVRTHf13bvZisZWydY692Y3MKiMwQXDQyX+EfooZEJFNRTIgxi4aYgI8JfxhnQkhM9A9fCT6ixkiijD/ATEUFNZk4CWOA21j3zLKtsmmw6+ja1c+56a92rw6jq79Al/PdOffc1zn3nnvu/TVJu4r+Es5eqZud2NnEzl4BK5AI4/AmWlwu1zan09ngdDonQOgf4BJ97wqPYxgWa2cDbrd7f1dX171Y+zbQqTcpKWk5elM0rFZrNg22g1EwFAgE3HBDUSxnow1dFFVo6uzs7I4qK7G9vf03nH+HwhvAnZaW5oEbiuZ1try8/BosLgaKQqHQ1wgBMCtR/wcVHW1tbRfhhqJ5nR0fH8/H4jIgNGo2m38WIQbaTSbTjzHq/7eqeZ3FuTVYdy0Qap+YmIh5Fru7uw+63e53pbHRMJ+zpsnJyTujjG7q7e2VBBRRlZSUrCBLN5B9MyNKgwoxnS0rK8siJCvDtgfhcl5hETIFg8HHKbWym3JWEY1LMZ3l+rgO00uA0ACOtYogyM7OzmBHa1mMx8A3ojM6YjpLCFfhgH7tFHB+O3FQPS4yMjIk275Gvcfv95+DG57mdLa4uDiVHbtN94ArZRf3qP6QSGIhKtF1app2sr+/f0hvZ2Q+p7M4k4fhNwIhL6+m6OskNDY21k5FDw7LOZ7z3qWNYWhOZy0WiwsrHUCok/KvIujghWRl5304e0zXGZ3P6SxOVGN8MtCQm3kOXhBZh1xBycnJW3p6emSHdbWh+azOSqbFwXW65YSwhGpIL+s8/CSUK0mp8vLy0hHM4D8lucNJjPeAjcAB7i4qKpLHTmQecoxNoP39Z+YNkIMuVVfN6mx6enoBIVoRbjSKPCWEw/opTAZOSUlpxIi1VJiZZAP4CJzHuK8KCwvtyJtBP+UA/Anameh3B+XTIITuVdEBRfn5+Wno68gfh1EMcvWdgcuxacSmVcgafR6kzfuU3aCD8mqQi+4I/YbQvSntBLM6yxUjq3bZT8TKykorA79ENFwicZ1m4CDPxi/gp5isBDQzpjw+ypGfQ2+Gr2THduBADX13ovsdrCKq1FVHXSafje/Rbgt9t3ITtPh8vmHm6KfdMDr1RmeeT6jbik6+tpYShVXgFdrVM+4a5BepUzSbs9OfiB2cTzFEdZj+r7S0dPHIyMh+9Nsx7DOPx/MnsiLKyxH8IAd5EsNexghZxCA8F7h4uNRi+BLa2DDsBP29snjU7UW3EYOf4ZPyPLJmt9tTGWcpcg99BuERot33FGRciY4TzPUd+eQkffvQK5rhLGElOxH9Hi4gnOyqdfgfq59BuFYRKm+xM7LSD1HVh3wErkjCFmElSMbwRTw8ZOWx1XQzOtnZxXxU7OaOloy+Hp0fg7+Fh1g8KT+MfMzr9YoTiJrG+EUIBaBpesJkjjb0A0zQyqIdQJ6RYyLOigPEej0DyoSFNNbpdsLpAo6FdMjriQF/oIH8MiHfu5KxjxMBvegU0UeuLvk0HMCQenGKRZOr7CYajKKrQzeiLwrlPnZLzqQF+VHaJIMP2Wk9UiTi7kMnC38cPsUZboaLOOphwRzARv0Mijgrg7L1z4N8zoD+UrpsTr8aRo88LphQsrkdww9RJ+dYwyBJerKQjVlZWb/QXotalFM2m22QY5GL0bfQbxDeJG0E6K+HbwPDLPRZeDRZ2KQ99FlGn2VUSETBplLE2anqf1ciQiTdb2AULwZ8ClfXE7Lc3RLCB5qbmyfQS2hKWNsx8ijhW0EbOUI2yn6c8kkbl8uViTP7kCUyejgSPnSbKKtrDll+J5PoehqdnFtZaAtH7X6Hw6ESHnptQZxlV/Wn5lmuI7WrGJSJI+tBN478JJMDRNOtcEmASRR2cI4ly8oDJgcHK8ghBfR5nTYSuqIf5jUnWdzOsdoLHqH+AfrthrfQbhhUM18dx8I5NDQ0TlnRgjjLJCsYPc9kMh3VEwlyKZAwVuFKvUYEpMDlbGZg6Drqd3Huz8D3oPeCwyzcB/B98M/hktlvgDcwxyT8KVBLBLwg55/s28E4B9GthqcTAZIUVVShW5id5cwfAhY+6J9lEpVIuAKa0S3h/G7SQxh5HN1mYEWuoY3sika/j9E5gBVUgxYcOQcvAE7wJW3kZ16pX0s/dTUxV4BxnqRe9DtZAHUM0CtakJ1VIxvwX8LZuG9KnCZM7GycFjru0yR2Nu5LHqcJr6qd/QsAAP//HwESLwAAAAZJREFUAwAyGDR+8uIGQAAAAABJRU5ErkJggg==\" width=\"29.5\" height=\"20\" style=\"width: 29.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eConsumption\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: Each move (including staying still) consumes 1.0 unit of energy. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the mission fails.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 10.2167px; text-align: left; transform-origin: 423.5px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eAction Cost\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: The total \"Action\" to be minimized is the sum of costs:\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 36.0667px; 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 18.0333px; text-align: left; transform-origin: 444.5px 18.0333px; 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:-15px\"\u003e\u003cimg 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\" width=\"274.5\" height=\"36\" style=\"width: 274.5px; height: 36px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 451.5px 20.4333px; transform-origin: 451.5px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 423.5px 20.4333px; text-align: left; transform-origin: 423.5px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eMovement: In one second, the probe can move to any of its 80 neighbors or stay in place. However, it \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecannot\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e enter a cell that is currently \"Active\" \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50\" height=\"18\" style=\"width: 50px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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; \"\u003eGoal\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: Find the minimum total \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; \"\u003eAction\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 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"156.5\" height=\"18\" style=\"width: 156.5px; 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 steps and before energy runs out.\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\u003c/div\u003e\u003c/div\u003e","function_template":"function min_action = solve_omega_protocol(N, start_pos, QM, P, Rules, InitialObs, E_max, Warps)\r\n  min_action = false;\r\nend","test_suite":"%% Test: Complex Eigen-Lock \u0026 Toroidal Warp\r\nN = 10;\r\nS = [0,0,0,0];\r\nQM = [2 3 0 0; -3 2 0 0; 0 0 5 0; 0 0 0 1]; \r\nP = [1, 2, 3, 4];\r\nRules = [99, 99, 99]; \r\nE = 100;\r\nWarps = [1,1,1,1; 0,0,0,0]; \r\n\r\nactual = solve_omega_protocol(N, S, QM, P, Rules, [], E, Warps);\r\n\r\nassert(abs(actual - 4.5) \u003c 1e-6);\r\n\r\n\r\n\r\n%% Setup chung\r\n\r\n\r\n%% Test 1: Di chuyển cơ bản (Moore Neighborhood)\r\n% Giải thích: Goal là [1,2,3,4]. Từ [0,0,0,0], bước xa nhất là 4 đơn vị (ở trục w).\r\n% Vì dùng Moore move, mỗi bước có thể thay đổi tất cả tọa độ thêm 1.\r\n% Cần đúng 4 bước. Cost = 4.0\r\nN1 = 10;\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nstart1 = [0,0,0,0];\r\nQM1 = diag([1.1, 2.1, 3.1, 4.1]); \r\nP1 = 1:4;\r\nout1 = solve_omega_protocol(N1, start1, QM1, P1, Rules, [], E_max, [9,9,9,9; 9,9,9,9]);\r\nassert(abs(out1 - 4.0) \u003c 1e-6, 'Test 1 Failed: Di chuyển cơ bản phải tốn 4.0 đơn vị');\r\n\r\n%% Test 2: Sử dụng Warp (Siêu không gian)\r\n% Giải thích: Goal ở [10,10,10,10]. \r\n% Lộ trình: [0,0,0,0] --(1 bước)--\u003e [1,0,0,0] --(Warp)--\u003e [9,10,10,10] --(1 bước)--\u003e [10,10,10,10]\r\n% Tổng cost: 1.0 (move) + 0.5 (warp) + 1.0 (move) = 2.5\r\nN2 = 20;\r\nstart2 = [0,0,0,0];\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nQM2 = diag([10.1, 10.1, 10.1, 10.1]);\r\nP2 = 1:4;\r\nWarps2 = [1,0,0,0; 9,10,10,10];\r\nout2 = solve_omega_protocol(N2, start2, QM2, P2, Rules, [], E_max, Warps2);\r\nassert(abs(out2 - 2.5) \u003c 1e-6, 'Test 2 Failed: Warp shortcut phải tốn 2.5 đơn vị');\r\n\r\n%% Test 3: Vật cản và Chi phí hàng xóm (Neighbor Penalty)\r\n% Giải thích: Start [0,0,0,0], Goal [1,1,1,1].\r\n% Có 2 vật cản tại [1,0,0,0] và [0,1,0,0].\r\n% Khi di chuyển từ Start tới Goal, tại t=1, ô Goal có 2 hàng xóm là Anomaly.\r\n% Cost = 1.0 + 0.1 * (2 hàng xóm) = 1.2\r\nN3 = 5;\r\nstart3 = [0,0,0,0];\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nQM3 = diag([1.1, 1.1, 1.1, 1.1]);\r\nP3 = 1:4;\r\nInitialObs3 = [1,0,0,0; 0,1,0,0];\r\nRules3 = [100, 0, 100]; % Giữ vật cản đứng yên\r\nout3 = solve_omega_protocol(N3, start3, QM3, P3, Rules3, InitialObs3, E_max, [4,4,4,4; 4,4,4,4]);\r\nassert(abs(out3 - 1.2) \u003c 1e-6, 'Test 3 Failed: Neighbor penalty phải tính đúng 1.2');\r\n\r\n%% Test 4: Trạng thái Goal ngay tại Start\r\n% Giải thích: Nếu start trùng goal, min_action phải bằng 0.\r\nN4 = 5;\r\nRules = [3, 2, 3]; \r\nE_max = 50;\r\nstart4 = [1,2,3,4];\r\nQM4 = diag([1.1, 2.1, 3.1, 4.1]);\r\nP4 = 1:4;\r\nout4 = solve_omega_protocol(N4, start4, QM4, P4, Rules, [], E_max, [0,0,0,0; 0,0,0,0]);\r\nassert(out4 == 0, 'Test 4 Failed: Start trùng Goal phải trả về 0');","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":4945722,"edited_by":4945722,"edited_at":"2026-03-18T14:51:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2026-03-18T14:51:31.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-03-17T16:06:29.000Z","updated_at":"2026-03-22T13:14:17.000Z","published_at":"2026-03-17T16:06:29.000Z","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\u003eDescription\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\u003e[EMERGENCY TRANSMISSION - GALACTIC COMMAND]\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\u003eSubject\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Mission Omega-7 - Navigation through the K-94 Tesseract Anomaly.\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\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOmega-7 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprobe has entered a non-Euclidean hyper-dimensional region known as a Tesseract Grid. The probe’s onboard computer is failing, and you must provide a sequence of movements to reach the \\\"Stability Core\\\" before the probe's energy reserves deplete or it is crushed by a Quantum Anomaly.\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.The 4D Toroidal Spacetime:\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 grid is a 4-dimensional hyper-cube of size \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 \\\\times N \\\\times N \\\\times N\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Coordinates are given as \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(x,y,z,w)\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\u003ex,y,z,w\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\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\\\\in \\\\{0,1,...,N - 1\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The space is toroidal in all four dimensions: moving from \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 -1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003ein any direction with a step 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\u003e+1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eresults in 0.\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.Goal Decoding (The Eigen-Lock):\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 coordinates of the Stability Core \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\\\\textbf{G} = (x_{g},y_{g},z_{g},w_{g})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are hidden within a 4 x 4 Quantum Matrix \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. To decode \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\\\\textbf{G}\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the four eigenvalues 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\u003e\\\\textbf{M}\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTake the absolute value of each eigenvalue.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSort these values in ascending order: \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\\\\lambda_{1} \\\\leq \\\\lambda_{2} \\\\leq \\\\lambda_{3} \\\\leq \\\\lambda_{4}.\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eApply a permutation vector \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\\\\textbf{P\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:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP c\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eontains indices 1 to 4) such that \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\\\\textbf{G}_{raw} = \\\\left[\\\\lambda_{P_{1}} , \\\\lambda_{P_{2}},\\\\lambda_{P_{3}},\\\\lambda_{P_{4}} \\\\right]\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe final coordinates are \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\\\\textbf{G} = \\\\lfloor \\\\textbf{G}_{raw} \\\\rfloor ( \\\\text{mod} N)\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.Dynamic Quantum Anomalies (4D Cellular Automata):\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 grid is infested with anomalies. Let \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\u003eA(t)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e be a logical 4D array 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\u003eA(x,y,z,w,t) = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e means an anomaly exists. The field evolves every second \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(t \\\\rightarrow t + 1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e based on the number of neighbors \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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e(where each cell has \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\u003e3^{4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e - 1 = 80 neighbors):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eBirth\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: A cell becomes active if it was dead and has exactly \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\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e neighbors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eSurvival\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: An active cell remains active if it has between \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\u003eS_{min\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003eS_{max\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e neighbors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eEnergy Flux\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Each active neighbor of a cell\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\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e increases the \\\"Action Cost\\\" of moving into that cell by 0.1\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e4.Space Warping ( The Wormhole Effect ):\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\u003eThere are two special coordinates, \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\u003eW_{1} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003eW_{2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If the probe enters \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\u003eW_{1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, it is instantly transported to \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\u003eW_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et + 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (and vice versa) with a fixed cost of 0.5, regardless of local anomalies.\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.Energy and Action Constraints:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eMax Energy\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: The probe starts with \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_{max\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eConsumption\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Each move (including staying still) consumes 1.0 unit of energy. 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\u003eE \u0026lt; 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the mission fails.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\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\u003eAction Cost\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: The total \\\"Action\\\" to be minimized is the sum of costs:\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\u003e\\\\text{StepCost} = 1 + \\\\frac{\\\\text{Number of Active Neighbors}}{10\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMovement: In one second, the probe can move to any of its 80 neighbors or stay in place. However, it \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecannot\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e enter a cell that is currently \\\"Active\\\" \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(A = 1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at time \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\u003et\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGoal\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Find the minimum total \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAction\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to reach \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\\\\textbf{G} \\\\text{ from } \\\\textbf{S} \\\\text{ within } T \\\\leq 100 \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e steps and before energy runs out.\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\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\"}]}"}],"term":"tag:\"energy-constrained 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