In this homework, you will write a C++ program that calculates student grades for a course. In this course, there are 10 students and there are total of 7 scores for each student. Students weighed total score is calculated as follows:

Total: (0.1*HW1) + (0.1*HW2) + (0.1*HW3) + (0.1*HW4) + (0.15*Test1) + (0.15*Test2) + (0.3*Final)

Student/Grade table is given below:

	HW1	HW2	HW3	HW4	Test 1	Test 2	Final
Student 1	78	77	55	58	97	61
Student 2	68	73	55	100	61	73
Student 3	58	72	77	97	61	63
Student 4	90	53	66	52	75	85
Student 5	81	95	60	56	66	95
Student 6	74	83	87	50	82	74
Student 7	100	72	67	87	80	80
Student 8	55	91	80	85	63	90
Student 9	74	87	79	51	74	71
Student 10	66	62	62	88	74	85

Students did not take the Final exam yet, therefore, the Final column is empty. In your program, you will create a two-dimensional int array (10 by 6) and load this table into that array (first 6 columns for 10 students). Later, you will provide following menu to the user:

Calculate average of all scores

Calculate the average of each column. You will print a message such as:

HW1 HW2 HW3 HW4 Test 1 Test 2

Average Scores: 74.4 76.5 68.8 72.4 73.3 77.7

Calculate the standard deviation of all scores

Calculate the std of each column. You will print a message such as:

HW1 HW2 HW3 HW4 Test 1 Test 2

Std Scores: 13.1 12.3 10.7 19.6 10.7 10.7

Calculate Student Current Grade

You get a number from the user between 1-10 to identify a student. Later, you will calculate a weighted average score (before the final exam) for that student. Please see the weights formula above.

Calculate Min. Final Score for an 80 (B) average

You get a number from the user between 1-10 to identify a student. Later, you will calculate the minimum Final exam score that is necessary for that student to get an average of 80 by the end of the semester. Please see the weights formula above.