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New algorithms for this task title the paper introducing DeepMind’s AI system for discovering new algorithms. The omega bound associated with this task has gradually decreased by approximately 0.004 since 1990 due to galactic algorithms that generalize the Coppersmith–Winograd algorithm with the laser method. The first algorithm to perform this task with asymptotic runtime better than big O of n (*) cubed was developed by Volker Strassen. This operation reverses L·U decomposition by acting on “lower” and “upper” objects. For 2D arrays with dimensions “m by n” and “n by p,” this common operation returns a 2D array with dimension “m by p.” For 10 points, name this non-associative operation that yields the product of two matrices. ■END■
| 2023 PACE NSC | 06/10/2023 | Y | 34 | 85% | 6% | 0% | 98.83 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Alvin Guo | Winston Churchill A | Johns Creek B | 13 | 0 |
| Thomas Belcher | Saint Joseph | Detroit Country Day | 27 | 20 |
| Braden Booth | Dallas County | Elkhorn North | 39 | 20 |
| Clete Reinberger | Cincinnati Hills Christian | Barrington A | 50 | 0 |
| Camden Williams | Mexico | Woodland | 60 | 0 |
| Dennis Yang | Troy | Thomas Jefferson C | 60 | 10 |
| Brodie Henry | West Point | Winston Churchill B | 60 | 0 |
| Sam Konkel | Johns Creek A | Parkway West | 67 | 0 |
| Aiden Dombrosky | Hoover B | Winnebago | 68 | 0 |
| Adhav Ravikumar | Innovation Academy A | Detroit Catholic Central A | 70 | 10 |
| Ali Hamzeh | Kinkaid | Moberly | 76 | 0 |
| Dylan Cheng | Thomas Jefferson A | John Adams B | 76 | 10 |
| Vincent Wang | Irvington A | Thomas Jefferson B | 77 | 10 |
| Samuel Li | Thomas Jefferson D | Mercer County | 80 | 0 |
| Russell Dillak | Northmont B | St. Mark's | 85 | 0 |
| Shreyas Singh | University Lab | Stevenson B | 85 | 10 |
| Pablo Hu | Belmont | Maggie Walker C | 85 | 0 |
| Alex Stumbur | Dunbar | Chattahoochee A | 87 | 0 |
| Sinecio Morales | Rockford Auburn A | John Adams A | 90 | 10 |
| Geo Beach | New Brighton | Rockford Auburn B | 96 | 10 |
| Jiming Chen | Hinsdale Central | Innovation Academy B | 96 | 10 |
| Aatreyo Bhattacharyya | Mira Loma | Heights | 99 | 10 |
| Pranav Aiyar | William Fremd | Northmont A | 100 | 10 |
| Varun Sathyajeeth | Solon | Choate Rosemary Hall | 100 | 10 |
| Ayan Kohli | Hunter B | Chattahoochee B | 101 | 0 |
| Hayden Ley | Washington | Barrington B | 110 | 0 |
| Evan Lin | Woodland | Mexico | 115 | 10 |
| Grayson Palermo | Norris | Carbondale | 115 | 10 |
| Arnav Lahoti | St. Mark's | Northmont B | 115 | 10 |
| Kyunghwan Lim | Chattahoochee A | Dunbar | 115 | 10 |
| Owen Arneson | Parkway West | Johns Creek A | 115 | 10 |
| Joshua Fan | Richard Montgomery | Detroit Catholic Central C | 116 | 10 |
| Jingyi Wu | Stevenson A | Maggie Walker B | 116 | 10 |
| Ella Sheffield | Mercer County | Thomas Jefferson D | 116 | 10 |
| David Bertolasi | Belvidere | Walter Payton | 116 | 0 |
| Addison Baker | Walter Payton | Belvidere | 116 | 0 |
| Tarun Devi | Chattahoochee B | Hunter B | 116 | 0 |
| Michael Karpov | Barrington A | Cincinnati Hills Christian | 116 | 10 |
| Tyler Song | Winston Churchill B | West Point | 116 | 10 |
| Sam Asplund | Winnebago | Hoover B | 116 | 10 |
| Rohan Dalal | Johns Creek B | Winston Churchill A | 116 | 10 |
| Brandon Torres | Carl Sandburg | Lake Highland | 116 | 10 |
| Anthony Chalhoub | Detroit Catholic Central B | Lincoln-Way East | 116 | 10 |
| Charles Heydt | Midtown | Maggie Walker A | 116 | 0 |
| Nate Stewart | Maggie Walker C | Belmont | 116 | 10 |
| Kaushik Gollamudi | Barrington B | Washington | 116 | 0 |
| Leon Luo | Plymouth | Waukee | 116 | 10 |