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B. Lucky Numbers

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputPetya loves lucky numbers. Everybody knows that positive integers are lucky if their decimal representation doesn't contain digits other than 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.

Lucky number is super lucky if it's decimal representation contains equal amount of digits 4 and 7. For example, numbers 47, 7744, 474477 are super lucky and 4, 744, 467 are not.

One day Petya came across a positive integer *n*. Help him to find the least super lucky number which is not less than *n*.

Input

The only line contains a positive integer *n* (1 ≤ *n* ≤ 10^{100000}). This number doesn't have leading zeroes.

Output

Output the least super lucky number that is more than or equal to *n*.

Examples

Input

4500

Output

4747

Input

47

Output

47

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