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import longestCommonSubsequence from '../longest-common-subsequence/longestCommonSubsequence';
/**
* @param {string[]} set1
* @param {string[]} set2
* @return {string[]}
*/
export default function shortestCommonSupersequence(set1, set2) {
// Let's first find the longest common subsequence of two sets.
const lcs = longestCommonSubsequence(set1, set2);
// If LCS is empty then the shortest common supersequence would be just
// concatenation of two sequences.
if (lcs.length === 1 && lcs[0] === '') {
return set1.concat(set2);
}
// Now let's add elements of set1 and set2 in order before/inside/after the LCS.
let supersequence = [];
let setIndex1 = 0;
let setIndex2 = 0;
let lcsIndex = 0;
let setOnHold1 = false;
let setOnHold2 = false;
while (lcsIndex < lcs.length) {
// Add elements of the first set to supersequence in correct order.
if (setIndex1 < set1.length) {
if (!setOnHold1 && set1[setIndex1] !== lcs[lcsIndex]) {
supersequence.push(set1[setIndex1]);
setIndex1 += 1;
} else {
setOnHold1 = true;
}
}
// Add elements of the second set to supersequence in correct order.
if (setIndex2 < set2.length) {
if (!setOnHold2 && set2[setIndex2] !== lcs[lcsIndex]) {
supersequence.push(set2[setIndex2]);
setIndex2 += 1;
} else {
setOnHold2 = true;
}
}
// Add LCS element to the supersequence in correct order.
if (setOnHold1 && setOnHold2) {
supersequence.push(lcs[lcsIndex]);
lcsIndex += 1;
setIndex1 += 1;
setIndex2 += 1;
setOnHold1 = false;
setOnHold2 = false;
}
}
// Attach set1 leftovers.
if (setIndex1 < set1.length) {
supersequence = supersequence.concat(set1.slice(setIndex1));
}
// Attach set2 leftovers.
if (setIndex2 < set2.length) {
supersequence = supersequence.concat(set2.slice(setIndex2));
}
return supersequence;
}
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