31:[] 2f:{"title":"How long does it take for a message to propagate?","cells":[{"id":78,"value":"md`\n# How long does it take for a message to propagate?\n\nAssuming that we start with ${initialPopulation.toLocaleString()} users, and every day each user has a ${Math.floor(returnChance * 100)}% chance to check for messages, how long will some users not have received that message?\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":39,"value":"viewof initialPopulation = {\n const minPower = 2, maxPower = 8;\n let initial = 6;\n \n return slider({\n value: this ? this.input.value : initial,\n step: 0.5,\n min: minPower,\n max: maxPower,\n getValue: n => {\n console.log({n: n.value});\n if (n.value - Math.trunc(n.value) == 0.5) {\n return 5 * Math.pow(10, n.value - 0.5);\n } else {\n return Math.pow(10, n.value);\n }\n },\n display: n => n.toLocaleString(),\n description: \"Initial Population\",\n });\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":38,"value":"viewof returnChance = slider({\n min: 0.01,\n max: 1,\n step: 0.01,\n format: '.0%',\n description: \"Chance a user returns each day\",\n value: this ? this.input.value : 0.55\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":21,"value":"md`### Result\n\n90% of users will receive the message after ${results.filter(r => r.population > initialPopulation * 0.1).length} days.\n\nHowever, at least one user will not see the message for ${results.length} days`","pinned":false,"hidden":false,"mode":"ojs"},{"id":60,"value":"html`

\n${results.map(d => html`\n

initialPopulation*0.1 ? \"first-90\" : \"\"}\"\n style=\"height: ${Math.floor(d.population / initialPopulation * 200)}px\"\n >`)}\n

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":116,"value":"md`\n> Note: These results use random numbers in their calculation, so may vary. Refreshing the page or changing any slider will re-run the simulation\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":56,"value":"html`

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":63,"value":"html``","pinned":false,"hidden":false,"mode":"ojs"},{"id":0,"value":"results = {\n let population = initialPopulation;\n let day = 0;\n let results = [];\n do {\n results.push({day, population});\n \n let matchCount = 0;\n\n if (population > 1e6) {\n // cheat a little and batch it for performance\n for (let i = 0; i < population; i += 1000) {\n matchCount += Math.random() * 1000;\n }\n \n } else {\n for (let i = 0; i < population; i++) {\n if (Math.random() < returnChance) {\n matchCount += 1;\n }\n }\n }\n \n population -= matchCount;\n day += 1;\n } while (population > 0);\n return results;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":16,"value":"import {slider} from \"@jashkenas/inputs\"","pinned":true,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}