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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 |
| Brodie Henry | West Point | Winston Churchill B | 60 | 0 |
| Dennis Yang | Troy | Thomas Jefferson C | 60 | 10 |
| 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 |
| Shreyas Singh | University Lab | Stevenson B | 85 | 10 |
| Pablo Hu | Belmont | Maggie Walker C | 85 | 0 |
| Russell Dillak | Northmont B | St. Mark's | 85 | 0 |
| Alex Stumbur | Dunbar | Chattahoochee A | 87 | 0 |
| Sinecio Morales | Rockford Auburn A | John Adams A | 90 | 10 |
| Jiming Chen | Hinsdale Central | Innovation Academy B | 96 | 10 |
| Geo Beach | New Brighton | Rockford Auburn B | 96 | 10 |
| Aatreyo Bhattacharyya | Mira Loma | Heights | 99 | 10 |
| Varun Sathyajeeth | Solon | Choate Rosemary Hall | 100 | 10 |
| Pranav Aiyar | William Fremd | Northmont A | 100 | 10 |
| Ayan Kohli | Hunter B | Chattahoochee B | 101 | 0 |
| Hayden Ley | Washington | Barrington B | 110 | 0 |
| Owen Arneson | Parkway West | Johns Creek A | 115 | 10 |
| Evan Lin | Woodland | Mexico | 115 | 10 |
| Grayson Palermo | Norris | Carbondale | 115 | 10 |
| Kyunghwan Lim | Chattahoochee A | Dunbar | 115 | 10 |
| Arnav Lahoti | St. Mark's | Northmont B | 115 | 10 |
| David Bertolasi | Belvidere | Walter Payton | 116 | 0 |
| Addison Baker | Walter Payton | Belvidere | 116 | 0 |
| Kaushik Gollamudi | Barrington B | Washington | 116 | 0 |
| Leon Luo | Plymouth | Waukee | 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 |
| 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 |
| Tarun Devi | Chattahoochee B | Hunter B | 116 | 0 |
| Michael Karpov | Barrington A | Cincinnati Hills Christian | 116 | 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 |