# we-solve referenced research prompt v2 { "schema": "we-solve.research-prompt-codec.v2", "instructions": "The template contains all rules and the output form. Join parts in order: strings are literal context; integers select template fragments. Then read the quoted source URL in that text. The copy button assembles the full prompt.", "template_url": "https://we-solve.github.io/prompts/templates/5035f52faf49f145e05ba8a2aa4eb22369997f2d88c875bc307955da41f0ffea.txt", "parts": [ "", 3, "https://we-solve.github.io/problems/let-f-be-the-formal-power-series-over-z-2z-whose-nth-coefficient-is-independently-chosen-to-be-1-with-probability-u-n/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_c7918c2d46f12366843eee73df42207c5a83282157a4aab6288329b610f40048]]\n", 2, "\n\n# we-solve research prompt: Math-12994, Let f be the formal power series over Z/2Z whose nth coefficient is independently chosen to be 1 with probability Ü(n^(\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/let-f-be-the-formal-power-series-over-z-2z-whose-nth-coefficient-is-independently-chosen-to-be-1-with-probability-u-n/).\n\n", 0, "[[WE_SOLVE_STATEMENT_c7918c2d46f12366843eee73df42207c5a83282157a4aab6288329b610f40048]]\n>>>\n", 5, "- None yet.\n", 4, "prb_97fb2fbdd0fe4926aebb11a02e6c0667", 1, "" ] }