44:["$","title",null,{"children":"7th Continent Goat Chart | Alexey Komissarouk | Observable"}] 4c:[] 48:{"id":"2bbf2fe4ff0bb24f","slug":"7th-continent-goat-chart","title":"7th Continent Goat Chart","thumbnail":"9537912277e5f6743578189dc71494e1270c17d5e179a2d0d69d5ec325ad2d8c","access_level":"public","create_time":"$D2019-08-14T06:21:16.429Z","update_time":"$D2019-08-14T06:36:19.565Z","view_time":null,"first_public_time":"$D2019-08-14T06:32:57.712Z","has_unpublished_edits":null,"fork":{"id":"efaf66224178576e","slug":"7th-continent-goat-chart","title":"7th Continent Goat Chart","owner":{"id":"31b136fdb993b00a","login":"visnup","name":"Visnu Pitiyanuvath"}},"stars":1,"starred":false,"owner":{"type":"team","id":"e14ef6c8566ebea1","login":"alexeymk","name":"Alexey Komissarouk","avatar_url":"https://avatars-next.observableusercontent.com/0f6d561d4d7c5f25de8ea2c87156dea3b3b50b961c90f1294c4c5cf8ca6fdb8f","tier":"starter_2024","bio":"","followed_by_you":false,"follows_you":false},"version":382,"publish_version":382,"role":null,"authored":false,"authors":[{"type":"individual","id":"0c73579b7872f3ef","login":"alexeymk","name":"Alexey Komissarouk","avatar_url":"https://avatars-next.observableusercontent.com/0f6d561d4d7c5f25de8ea2c87156dea3b3b50b961c90f1294c4c5cf8ca6fdb8f","tier":null,"bio":"","followed_by_you":false,"follows_you":false}],"members":[{"type":"individual","id":"0c73579b7872f3ef","login":"alexeymk","name":"Alexey Komissarouk","avatar_url":"https://avatars-next.observableusercontent.com/0f6d561d4d7c5f25de8ea2c87156dea3b3b50b961c90f1294c4c5cf8ca6fdb8f","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"titling":"auto","title":"7th Continent Goat Chart","cells":[{"id":0,"value":"md`# 7th Continent Goat Chart\n\nsimulate number of successes using 7th Continent's action deck. draw without replacement and reshuffle when necessary.\n\n

\n\nSee also: [Calculating the chance table](https://the7thcontinent.seriouspoulp.com/en/forum/topic/4130/calculating-the-chance-table/page/1/292390/) – The 7th Continent Forums\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":341,"value":"md`### Odds of a star\n\nThese are the base odds of getting one or more stars with two explorers, basic skills, and one curse.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":242,"value":"table(odds, 'stars', '⭐️')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":23,"value":"odds = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10].map(draws => {\n const atLeast = { stars: {}, sevens: {}, curses: {} }\n for (const draw of simulate(draws, simulations)) {\n for (const [type, count] of Object.entries(sum(draw)))\n for (let c = count; c > 0; c--)\n (atLeast[type][c] = atLeast[type][c] || []).push(draw)\n }\n return { draws, atLeast }\n})","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":335,"value":"md`### Odds of drawing a 7\n\nHow does generating a 7 star change things?`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":316,"value":"table(odds, 'sevens', '7️⃣')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":332,"value":"md`### Odds of drawing a curse card\n\nNear the end game, you'll be worried about drawing a curse card. You probably don't want to be drawing 5 cards in that case.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":323,"value":"table(odds, 'curses', '☠️')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":251,"value":"md`\nTODO\n- number of explorers\n- number of curses\n- advanced skills\n- 7 star\n- differences\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":275,"value":"color = d3.scaleSequential([0, 100], d3.interpolateCool)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":240,"value":"table = (odds, type = 'stars', icon = '') => html`\n \n ${odds.map(({draws}) => html``)}\n ${Object.keys(odds[odds.length - 1].atLeast[type]).map(stars => html`\n \n \n ${odds.map(({atLeast}) => {\n const percent = (atLeast[type][stars] || []).length / simulations * 100\n return html``\n })}\n \n `)}\n

	${draws} 🔷
${stars}⁺${icon}	\n ${percent > 1 ? percent.toFixed(0) : \"\"}\n 1 ? 1 : 0}\">■\n

\n`","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":355,"value":"md`Counting half stars is slightly tricky. For an optimal arrangement, take all of the \"left-right\"s and form a chain out of them forming ${tex`n - 1`} stars. Then, try to cap the ends of the chain with a singular left or right star. Finally, form stars from the remaining \"left\" and \"right\"s and don't forget the whole stars.\n\n**Alexey's Alternative Approach**: \nmin(left, right) works unless they are all \"left & right\", in which case -1. So just do that`\n","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":171,"value":"function sum(draw) {\n const propertySum = (property) => d3.sum(draw, c => c[property] || 0)\n const [fullStars, lefts, rights, curses, sevens] = \n ['star', 'left', 'right', 'curse', 'seven'].map(prop => propertySum(prop))\n \n const anyHalves = draw.filter(c => c.left != c.right).length > 0\n const anyLeftRights = draw.filter(c => c.left && c.right).length > 0\n const stars = fullStars + Math.min(lefts, rights) - (anyLeftRights && !anyHalves ? 1 : 0)\n \n return { stars, curses, sevens }\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":176,"value":"sumTest = [\n {cards: [{ star: 1 }, { star: 2 }], expected: 3},\n {cards: [{ left: 1, right: 1 }], expected: 0},\n {cards: [{ left: 1, right: 1 }, { left: 1, right: 1 }], expected: 1},\n {cards: [{ right: 1 }, { left: 1, right: 1 }, { left: 1 }], expected: 2},\n {cards: [{ right: 1 }, { left: 1, right: 1 }, { left: 1, right: 1}, { left: 1 }], expected: 3},\n {cards: [{ right: 1 }, { left: 1, right: 1 }, { left: 1 }, { left: 1 }, { right: 1 }], expected: 3},\n {cards: [{ right: 1 }, { left: 1, right: 1 }, { left: 1 }, { left: 1 }, { right: 1 }, { right: 1 }], \n expected: 3}\n].map(testCase => ({ cards: testCase.cards, passed: sum(testCase.cards).stars === testCase.expected }))\n","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":212,"value":"simulations = 1e4","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":365,"value":"md`Simulate drawing from the action deck. Draw without replacement and reshuffle when you reach the end.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":22,"value":"function* simulate(draws, n) {\n let deck = []\n for (let i = 0; i < n; i++) {\n if (deck.length < draws)\n deck = d3.shuffle([...cards])\n yield deck.splice(0, draws)\n }\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":13,"value":"cards = [...explorer, ...explorer, ...basicSkills, ...advancedSkills, ...curses]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":7,"value":"explorer = [\n { star: 1, left: 1 },\n { star: 1, right: 1 },\n { seven: 1, left: 1 },\n { left: 1, right: 1 },\n { right: 1 },\n]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":8,"value":"basicSkills = [\n ...new Array(7).fill({ star: 1 }),\n ...new Array(2).fill({ star: 2 }),\n ...new Array(1).fill({ star: 3 }),\n ...new Array(8).fill({ star: 1, left: 1 }),\n ...new Array(5).fill({ star: 1, right: 1 }),\n ...new Array(4).fill({ left: 1 }),\n ...new Array(4).fill({ right: 1 }),\n ...new Array(1).fill({ seven: 1, star: 1, right: 1 }),\n ...new Array(1).fill({ seven: 1, left: 1 }),\n ...new Array(2).fill({ seven: 1, right: 1 }),\n] // 35","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"advancedSkills = [\n]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":15,"value":"curses = [\n { curse: 1 }, \n { curse: 1, title: \"Death is lurking!\" },\n { curse: 1, title: \"Death is lurking!\" },\n { curse: 1, title: \"Death is lurking!\" },\n { curse: 1, title: \"Death is lurking!\" },\n]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":26,"value":"_ = require('lodash@4')","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":66,"value":"d3 = require('d3-array@2', 'd3-scale@3', 'd3-scale-chromatic@1')","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W4c","stdlib":"1"}} 24:null