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Doubling Grains on a Chessboard

Calculate a square’s grain count and the total on all 64 squares.

Square 1 holds one grain. Each later square holds twice as many grains as the previous square. Return both the count on the requested square and the total on squares 1 through 64. Write each count as decimal text, because the board total is too large for a signed 64-bit integer.

Implement chessboard_grains(square).

Input

square: The requested square, numbered from 1.

Output

Return two decimal strings: [count on the requested square, total on all 64 squares].

Contraintes

1 ≤ square ≤ 64. Output strings contain decimal digits only, with no commas, spaces, or leading zeros.

Exemples

Exemple 1
Entrée :
square = 6

Sortie attendue :
expected = ["32", "18446744073709551615"]
Entrée :
long long square = 6;

Sortie attendue :
std::vector<std::string> expected = {"32", "18446744073709551615"};
Entrée :
long square = 6;

Sortie attendue :
string[] expected = new string[] {"32", "18446744073709551615"};

Explication

The first six counts are 1, 2, 4, 8, 16, 32. The board total is 1 + 2 + … + 2⁶³ = 2⁶⁴ − 1.

Exemple 2
Entrée :
square = 1

Sortie attendue :
expected = ["1", "18446744073709551615"]
Entrée :
long long square = 1;

Sortie attendue :
std::vector<std::string> expected = {"1", "18446744073709551615"};
Entrée :
long square = 1;

Sortie attendue :
string[] expected = new string[] {"1", "18446744073709551615"};

Explication

The first square holds 1 grain. The second output always refers to all 64 squares, not just the requested prefix.

Références

Ce défi a été adapté pour CodeUtility. Suivez l'énoncé et les contraintes ci-dessus.

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