5. Assume the following declarations: char name[21]; char yourName[21]; char studentName[31]; Mark the following statements as valid or invalid. If a statement is invalid, explain why. a. cin >> name; b. cout << studentName; c. yourName[ 0] = '\0'; d. yourName = studentName; e. if (yourName == name) studentName = name; f. int x = strcmp(yourName, studentName); g. strcpy(studentName, name); h. for(intj=0;j<21;j++) cout << name[j];

Write a program that performs a simple n-body simulation, called "jumping leprechauns." this simulation involves n leprechauns, numberd 1 to n. it maintains a gold value g_i for each leprechaun i, which begins with each leprechaun starting out with a million dollars worth of gold, that is, g_i = 1000000 for each i = 1,. in addition, the simulation also maintains, for each leprachaun, i, a place on the horizon, which is represented as a double-precision floating point number, x_i. in each iteration of the simulation, the simulation processes the leprachauns in order. processing a leprachaun i during its iteration begins by computing a new place on the horizon for i, which is determined by the assignment: