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fix(challenges): Edit Description and Add Solution for Project Euler 45 (#17126)

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Updated the problem description with an inline CSS grid, <sup>, and
<var> tags. Also added a solution that user @elliotjz contributed
to the fCC Arcade Mode.

BREAKING CHANGE: None
This commit is contained in:
Kristofer Koishigawa
2018-05-09 04:43:20 +09:00
committed by mstellaluna
parent 1325cc0513
commit 54dbf89fd7
1 changed files with 8 additions and 20 deletions
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28
seed/challenges/08-coding-interview-questions-and-take-home-assignments/project-euler-problems.json
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@@ -1604,36 +1604,24 @@
"type": "bonfire", "type": "bonfire",
"title": "Problem 45: Triangular, pentagonal, and hexagonal", "title": "Problem 45: Triangular, pentagonal, and hexagonal",
"tests": [ "tests": [
"assert.strictEqual(euler45(), 1533776805, 'message: <code>euler45()</code> should return 1533776805.');" "assert.strictEqual(triPentaHexa(40756), 1533776805, 'message: <code>triPentaHexa(40756)</code> should return 1533776805.');"
], ],
"solutions": [], "solutions": ["function triPentaHexa(n) {\n function triangular(num) {\n return (num * (num + 1)) / 2;\n}\n\nfunction isPentagonal(num) {\n // Formula found by completing the square and\n // solving for n.\n const n = (Math.sqrt((24 * num) + 1) + 1) / 6;\n return n % 1 === 0;\n}\n\n function isHexagonal(num) {\n // Formula found by completing the square and\n // solving for n.\n const n = Math.sqrt(0.5 * (num + (1 / 8))) + 0.25;\n return n % 1 === 0;\n}\n\nlet iTri = n;\nlet tri;\nlet found = false;\nwhile (!found) {\n iTri++;\n tri = triangular(iTri);\n if (isPentagonal(tri) && isHexagonal(tri)) {\n found = true;\n }\n }\n return tri;\n}"],
"translations": {}, "translations": {},
"challengeSeed": [ "challengeSeed": [
"function euler45() {", "function triPentaHexa(n) {",
" // Good luck!", " // Good luck!",
" return true;", " return true;",
"}", "}",
"", "",
"euler45();" "triPentaHexa(40756);"
], ],
"description": [ "description": [
"Triangle, pentagonal, and hexagonal numbers are generated by the following formulae:", "Triangle, pentagonal, and hexagonal numbers are generated by the following formulae:",
"Triangle", "<div style='display: inline-grid; text-align: center; grid-template-columns: repeat(3, minmax(117px, 12%)); grid-template-rows: auto;'><div>Triangle</div><div>T<sub>n</sub>=<var>n</var>(<var>n</var>+1)/2</div><div>1, 3, 6, 10, 15, ...</div></div>",
"", "<div style='display: inline-grid; text-align: center; grid-template-columns: repeat(3, minmax(117px, 12%)); grid-template-rows: auto;'><div>Pentagonal</div><div>P<sub>n</sub>=<var>n</var>(3<var>n</var>−1)/2</div><div>1, 5, 12, 22, 35, ...</div></div>",
"Tn=n(n+1)/2", "<div style='display: inline-grid; text-align: center; grid-template-columns: repeat(3, minmax(117px, 12%)); grid-template-rows: auto;'><div>Hexagonal</div><div>H<sub>n</sub>=<var>n</var>(2<var>n</var>−1)</div><div>1, 6, 15, 28, 45, ...</div></div>",
"", "It can be verified that T<sub>285</sub> = P<sub>165</sub> = H<sub>143</sub> = 40755.",
"1, 3, 6, 10, 15, ...",
"Pentagonal",
"",
"Pn=n(3n−1)/2",
"",
"1, 5, 12, 22, 35, ...",
"Hexagonal",
"",
"Hn=n(2n−1)",
"",
"1, 6, 15, 28, 45, ...",
"It can be verified that T285 = P165 = H143 = 40755.",
"Find the next triangle number that is also pentagonal and hexagonal." "Find the next triangle number that is also pentagonal and hexagonal."
] ]
}, },