Calculate Average Scores for Students

You are given a JSON array via standard input, where each element is an object representing a student. Each student object contains a string field name and a nested object scores with keys Mathematics, Science, and English representing the student’s scores. Your task is to compute the average score for each student using the formula ( average = \frac{Mathematics + Science + English}{3} ) (rounded to two decimal places) and output a JSON array of objects containing the student's name and the computed average score. If any of the three required subjects is missing or has a value that cannot be converted to a number, skip that student. In case the input JSON is invalid, print an appropriate error message.

inputFormat

The input is provided via standard input as a single JSON array. Each element in the array is a JSON object that has a name field and a scores field. The scores field is an object containing the keys Mathematics, Science, and English with numeric values (which may be represented as integers or floats).

outputFormat

Output to standard output a JSON array of objects. Each object should contain the name of a student and their corresponding average_score (rounded to two decimal places). Students with incomplete or invalid score data should be omitted from the output.## sample

[{"name": "Alice", "scores": {"Mathematics": 85, "Science": 78, "English": 92}}, {"name": "Bob", "scores": {"Mathematics": 90, "Science": 88, "English": 84}}]

[{"name":"Alice","average_score":85.0},{"name":"Bob","average_score":87.33}]