diff --git a/Dynamic-Programming/LongestIncreasingSubsequence.js b/Dynamic-Programming/LongestIncreasingSubsequence.js new file mode 100644 index 000000000..1ea8dde65 --- /dev/null +++ b/Dynamic-Programming/LongestIncreasingSubsequence.js @@ -0,0 +1,26 @@ +/** + * A Dynamic Programming based solution for calculating Longest Increasing Subsequence + * https://en.wikipedia.org/wiki/Longest_increasing_subsequence + */ + +function main () { + const x = [0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15] + const length = x.length + const dp = Array(length).fill(1) + + let res = 1 + + for (let i = 0; i < length; i++) { + for (let j = 0; j < i; j++) { + if (x[i] > x[j]) { + dp[i] = Math.max(dp[i], 1 + dp[j]) + if (dp[i] > res) + res = dp[i] + } + } + } + + console.log('Length of Longest Increasing Subsequence is:', res) +} + +main()