{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"scicode","formal_name":"SciCode","introduction":"SciCode evaluates the ability to solve scientific research problems through code. Problems are decomposed into subproblems; this dev import preserves the relationships between 15 parent problems and 50 subproblems.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/SciCode1/SciCode","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"fc34b42b-92eb-587d-9164-57933df48b46","task_key":"dev--1a5ff1ba-5fc0-57dd-8bd7-b4f0520e7dbb--44~2e2","task_revision_id":"3","upstream_id":"44.2","short_description":"Let $r_i$ denote the concentration of all chains ending with monomer i, and…","config":"","split":"dev","body":"{\"step_background\":\"Background\\n- The concentration of chains ending with i can be counted by $r_i(t)=c_i-\\\\sum_k d_{i k}(t)$\\n- The concentration of chains starting with i can be counted by $l_i(t)=c_i-\\\\sum_k d_{k i}(t)$\",\"step_description_prompt\":\"Let $r_i$ denote the concentration of all chains ending with monomer i, and $l_j$ the concentration of all chains starting with monomer j. They can be calculated from the concentration of each type of monomer $c_i$ (which is a constant throughout the process) and the 2-mer concetrations $d_{ij}$. In the night phase, when 2 ends i and j of such chains meet due to hybridization with a complementary template j'i', they are ligated at rate $\\\\lambda_{ij}$ and form a new 2-mer ij; in the day phase, 2-mers break up spontaneously at a given rate. Let's describe this process by the master euqation $\\\\dot{d}_{ij}(t)=\\\\lambda_{i j} \\\\cdot r_i(t) \\\\cdot l_j(t) \\\\cdot d_{j' i'}(t)-d_{i j}(t)$, where all the breakage rates are set to 1 for simplicity. To integrate this ODE method, write a function that returns the change of $d_{ij}$ (flattened to 1d) during timestep $\\\\delta t$. The inputs are the following: the time t; the flattened $d_{ij}$ matrix, noted as y; the concentration of each type of monomer $c_i$, and the ligation rate matrix $\\\\lambda_{ij}$.\"}","display_format":"scicode-step","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/SciCode1/SciCode","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}