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Readability Grade

Estimate the school grade needed to read a text.

Problem

The Coleman-Liau index estimates the U.S. grade level for a text: index = 0.0588 × L − 0.296 × S − 15.8, where L is the average number of letters per 100 words and S the average number of sentences per 100 words. Letters are A–Z/a–z, words are separated by spaces, and each ., ! or ? ends a sentence. Round the index to the nearest whole number.

Implement readability_grade(text).

Input

text: English text with at least one word.

Output

Return "Before Grade 1" when the index is below 1, "Grade 16+" when it is 16 or more, otherwise "Grade N".

Constraints

1 ≤ length ≤ 10,000

Examples

Example 1
Input:
text = "One fish. Two fish. Red fish. Blue fish."

Expected output:
expected = "Before Grade 1"
Input:
std::string text = "One fish. Two fish. Red fish. Blue fish.";

Expected output:
std::string expected = "Before Grade 1";
Input:
string text = "One fish. Two fish. Red fish. Blue fish.";

Expected output:
string expected = "Before Grade 1";

Explanation

29 letters, 8 words and 4 sentences give an index below 1: "Before Grade 1".

Example 2
Input:
text = "Harry Potter was a highly unusual boy in many ways. For one thing, he hated the summer holidays more than any other time of year. For another, he really wanted to do his homework, but was forced to do it in secret, in the dead of the night. And he also happened to be a wizard."

Expected output:
expected = "Grade 5"
Input:
std::string text = "Harry Potter was a highly unusual boy in many ways. For one thing, he hated the summer holidays more than any other time of year. For another, he really wanted to do his homework, but was forced to do it in secret, in the dead of the night. And he also happened to be a wizard.";

Expected output:
std::string expected = "Grade 5";
Input:
string text = "Harry Potter was a highly unusual boy in many ways. For one thing, he hated the summer holidays more than any other time of year. For another, he really wanted to do his homework, but was forced to do it in secret, in the dead of the night. And he also happened to be a wizard.";

Expected output:
string expected = "Grade 5";

Explanation

The average word and sentence lengths give an index that rounds to 5: "Grade 5".

References

This challenge is adapted for CodeUtility. Follow the statement and constraints above.

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