freeCodeCamp

1.6 KiB

Raw Blame History

id	challengeType	title	forumTopicId
5900f4021000cf542c50ff13	5	Problem 149: Searching for a maximum-sum subsequence	301778

Description

Looking at the table below, it is easy to verify that the maximum possible sum of adjacent numbers in any direction (horizontal, vertical, diagonal or anti-diagonal) is 16 (= 8 + 7 + 1).

−25329−6513273−18−4 8

Now, let us repeat the search, but on a much larger scale:

First, generate four million pseudo-random numbers using a specific form of what is known as a "Lagged Fibonacci Generator":

For 1 ≤ k ≤ 55, sk = [100003 − 200003k + 300007k3] (modulo 1000000) − 500000. For 56 ≤ k ≤ 4000000, sk = [sk−24 + sk−55 + 1000000] (modulo 1000000) − 500000.

Thus, s10 = −393027 and s100 = 86613.

The terms of s are then arranged in a 2000×2000 table, using the first 2000 numbers to fill the first row (sequentially), the next 2000 numbers to fill the second row, and so on.

Finally, find the greatest sum of (any number of) adjacent entries in any direction (horizontal, vertical, diagonal or anti-diagonal).

Instructions

Tests

tests:
  - text: <code>euler149()</code> should return 52852124.
    testString: assert.strictEqual(euler149(), 52852124);

Challenge Seed

function euler149() {
  // Good luck!
  return true;
}

euler149();

Solution

// solution required

1.6 KiB Raw Blame History Unescape Escape