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2 new Coding Contracts
also run format and lint on it this time 😉
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@@ -1,5 +1,6 @@
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import { getRandomInt } from "../utils/helpers/getRandomInt";
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import { HammingEncode, HammingDecode } from "../utils/HammingCodeTools";
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/* tslint:disable:completed-docs no-magic-numbers arrow-return-shorthand */
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/* Function that generates a valid 'data' for a contract type */
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@@ -1008,4 +1009,62 @@ export const codingContractTypesMetadata: ICodingContractTypeMetadata[] = [
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return true;
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},
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},
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{
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name: "HammingCodes: Integer to encoded Binary",
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numTries: 10,
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difficulty: 5,
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desc: (n: number): string => {
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return [
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"You are given the following decimal Value: \n",
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`${n} \n`,
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"Convert it into a binary string and encode it as a 'Hamming-Code'. eg:\n ",
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"Value 8 will result into binary '1000', which will be encoded",
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"with the pattern 'pppdpddd', where p is a paritybit and d a databit,\n",
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"or '10101' (Value 21) will result into (pppdpdddpd) '1111101011'.\n\n",
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"NOTE: You need an parity Bit on Index 0 as an 'overall'-paritybit. \n",
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"NOTE 2: You should watch the HammingCode-video from 3Blue1Brown, which explains the 'rule' of encoding,",
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"including the first Index parity-bit mentioned on the first note.\n\n",
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"Now the only one rule for this encoding:\n",
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" It's not allowed to add additional leading '0's to the binary value\n",
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"That means, the binary value has to be encoded as it is",
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].join(" ");
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},
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gen: (): number => {
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return getRandomInt(Math.pow(2, 4), Math.pow(2, getRandomInt(1, 57)));
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},
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solver: (data: number, ans: string): boolean => {
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return ans === HammingEncode(data);
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},
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},
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{
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name: "HammingCodes: Encoded Binary to Integer",
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difficulty: 8,
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numTries: 10,
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desc: (n: string): string => {
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return [
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"You are given the following encoded binary String: \n",
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`'${n}' \n`,
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"Treat it as a Hammingcode with 1 'possible' error on an random Index.\n",
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"Find the 'possible' wrong bit, fix it and extract the decimal value, which is hidden inside the string.\n\n",
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"Note: The length of the binary string is dynamic, but it's encoding/decoding is following Hammings 'rule'\n",
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"Note 2: Index 0 is an 'overall' parity bit. Watch the Hammingcode-video from 3Blue1Brown for more information\n",
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"Note 3: There's a ~55% chance for an altered Bit. So... MAYBE there is an altered Bit 😉\n",
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"Extranote for automation: return the decimal value as a string",
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].join(" ");
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},
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gen: (): string => {
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const _alteredBit = Math.round(Math.random());
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const _buildArray: Array<string> = HammingEncode(
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getRandomInt(Math.pow(2, 4), Math.pow(2, getRandomInt(1, 57))),
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).split("");
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if (_alteredBit) {
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const _randomIndex: number = getRandomInt(0, _buildArray.length - 1);
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_buildArray[_randomIndex] = _buildArray[_randomIndex] == "0" ? "1" : "0";
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}
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return _buildArray.join("");
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},
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solver: (data: string, ans: string): boolean => {
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return parseInt(ans, 10) === HammingDecode(data);
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},
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},
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];
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