$1.$ Find the values of the following variables a$,$ b$,$ c$,$ d$,$ and e$.[2\mathrm{.}5]2.$ Manual trace the values of i$,$ and value$\_$final every time their value change. $[2\mathrm{.}5]3.$ In the manual tracing, show the value of variable i every time its value changes. $[2\mathrm{.}5]4.$ Show the manual tracing for the array A elements. $[2\mathrm{.}5]$ Section$-$B $5.$ Write a program to perform the following operations: a$)$ Assign LAST$\_$FOUR$\_$DIGITS$\_$OF$\_$YOUR$\_$STUDENT$\_$ID $+3$ to integer variable a$.$ b$)$ Add $11$ to a and assign that to integer variable b$.$ c$)$ Divide b by $15$ and assign that back to b$.$ d$)$ Add a and b and assign the sum to a new float variable c$.$ e$)$ Increment the value of c by $1.$ f$)$ Print the values of a$,$ b and c$.[2\mathrm{.}5]6.$ Write a program to perform the following operations. Write the $$then$$ conditions using nested conditional statements. a$)$ Assign $($LAST$\_$THREE$\_$DIGITS$\_$OF$\_$YOUR$\_$STUDENT$\_$ID $\%17)+3$ to integer variable a$.$ b$)$ Assign $($LAST$\_$TWO$\_$DIGITS$\_$OF$\_$YOUR$\_$STUDENT$\_$ID $\%21)+5$ to integer variable b$.$ c$)$ Take an integer variable c from user. d$)$ If c is larger than a and b$,$ then check if c is even or odd. If even, then print: $$c is the largest and even$.$ Otherwise print: $$c is largest and odd$.$ e$)$ If c is larger than a only, then check if divisible by $3$ or not. If divisible, then print: $$c crossed a and divisible by $3.$ Otherwise print: $$c is not divisible by $3.$ f$)$ If c is larger than b only, then check if divisible by $5$ or not. If divisible, then print: $$c crossed b and divisible by $5.$ Otherwise print: $$c is not divisible by $5.[2\mathrm{.}5]7.$ Write a program to compute the summation of the following series. $(-$j$)+($i$)+(2$i$+$j$)+(3$i$+2$j$)+.....+($ni$+($n$-1)$j$)$ If the sum is an even number, display your student id; otherwise display your name. $[2\mathrm{.}5]8.$ Write a program to perform the following operations. a$)$ Assign $($LAST$\_$TWO$\_$DIGITS$\_$OF$\_$YOUR$\_$STUDENT$\_$ID $\%21)+5$ to integer variable b$.$ b$)$ Declare a one$-$dimensional integer array A of size $10.$ c$)$ Initialize the array values with a$\%7+3$i$,$ Where a $=$ LAST$\_$FOUR$\_$DIGITS$\_$OF$\_$YOUR$\_$STUDENT$\_$ID and i $=$ array index. d$)$ Find the sum of the numbers that are stored in even numbered indices in the array.