Write a C++ program that translates a letter grade into a numeric grade point. Here are the details: Letter grades are A, B, C, D, and F, possibly followed by + or –. Their numeric values are 4, 3, 2, 1, and 0. In our scheme, there is no F+ or F–, or A+. Adding a + to the grade increases the numeric value by 0.3, a – decreases it by 0.3. If the letter grade is illegal (such as "Z"), then your output should be "INVALID LETTER GRADE"; If the combination is illegal (such as "A+" or "F-") then your output should be "INVALID GRADE COMBINATION"; if there is some other problem with the input, such as too many characters or an invalid symbol (A?), then use "INVALID INPUT".

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