[ Decimal numeral system ]

Find the largest number in which each digit, starting from the third, is equal to the sum of the two preceding digits.

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Notice, of the two numbers, the larger one is the one with more digits.

## Solution

At first glance, this problem seems very similar to the previous one, but the solution is quite different. A number will be larger the more digits it has. And the more digits there will be, the smaller the first two digits. Let's check. If the first digits are 1 and 0, we get 10112358. If the first digits are 1 and 1, we get 112358, and if they are 2 and 0, we get 202246. Therefore, the desired number is 10112358.

## Answer

10112358.