Dynamic Programming - Longest Common Subsequence

Dynamic ProgrammingLongest Common Subsequence

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// import visualization libraries {...}
const string1 = 'AGGTAB';
const string2 = 'GXTXAYB';
const m = string1.length;
const n = string2.length;
const A = new Array(m + 1);
for (let i = 0; i < m + 1; i++) {
  A[i] = new Array(n + 1);
}
// define tracer variables {...}
let i;
let j;
// Build the memo table in bottom up fashion
for (i = 0; i <= m; i++) {
  for (j = 0; j <= n; j++) {
    if (i === 0 || j === 0) {
      A[i][j] = 0;
    } else if (string1[i - 1] === string2[j - 1]) {
      // visualize {...}
      A[i][j] = A[i - 1][j - 1] + 1;
      // visualize {...}
    } else {
      // visualize {...}
      if (A[i - 1][j] > A[i][j - 1]) {
        A[i][j] = A[i - 1][j];
      } else {
        A[i][j] = A[i][j - 1];
      }
      // visualize {...}
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