Fibonacci Sequence Coding using Memoization C PROGRAM HELP: - Create the mfib() function to calculate Fibonacci using memoization - Also create the initMemo() function to clear out memoization table(s) at the beginning of each mfib() run The output of the program will record the relative amount of time required from the start of each function calculation to the end. Note the speed difference between fib and mfib! Turn in your commented program and a screen shot of the execution run of the program. Do not be alarmed as the non-memoization Fibonacci calls take a long time to calculate, especially the higher values. Be patient. It should finish.   Given Code: //C program #include #include #include #include #include // max number of inputs #define MAX_FIB 200 // result of call to fib function unsigned long long result; //loop variable int i; // ========================== MEMO DEFINITIONS ========================== unsigned long long memo[MAX_FIB];     // array to hold computed data values bool valid[MAX_FIB];                  // array to hold validity of data // make all entries in the memoization table invalid void initMemo() { for(i=0;i

Fibonacci Sequence Coding using Memoization C PROGRAM HELP:

- Create the mfib() function to calculate Fibonacci using memoization

- Also create the initMemo() function to clear out memoization table(s) at the beginning of each mfib() run

The output of the program will record the relative amount of time required from the start of each function calculation to the end.

Note the speed difference between fib and mfib!

Turn in your commented program and a screen shot of the execution run of the program.

Do not be alarmed as the non-memoization Fibonacci calls take a long time to calculate, especially the higher values.

Be patient. It should finish.

Given Code:

//C program

#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#include <string.h>
#include <time.h>

// max number of inputs
#define MAX_FIB 200

// result of call to fib function
unsigned long long result;

//loop variable
int i;

// ========================== MEMO DEFINITIONS ==========================

unsigned long long memo[MAX_FIB];     // array to hold computed data values
bool valid[MAX_FIB];                  // array to hold validity of data

// make all entries in the memoization table invalid
void initMemo() {
for(i=0;i<MAX_FIB;i++){
   valid[i] = false;
}

return;
}

// ========================== TIME DEFINITIONS ==========================
// timer functions found in time.h
// time_t is time type
time_t startTime;
time_t stopTime;

// get current time in seconds from some magic date with
// t = time(NULL);
// or
// time(&t);
// where t is of type time_t
//
// get difference in secs between times (t1-t2) with
// d = difftime(t1, t2);
// where d is of type double

// ========================== NAIVE FIB ==========================

unsigned long long fib(int n) {
if (n < 1) {
    return 0;
} else if (n == 1) {
    return 1;
} else {
    return fib(n-2) + fib(n-1);
}
}

// ========================== MEMOIZED FIB ==========================

unsigned long long mfib(int n) {

memo[0] = 0;
memo[1] = 1;
valid[0] = true;
valid[1] = true;

for(i=2;i<=n;i++){
   memo[i] = memo[i-1] + memo[i-2];
   valid[i] = true;
}

return memo[n]; // replace this return with real computation

}

// ========================== MAIN PROGRAM ==========================
int main() {

for (i = 0; i < 55; i+=5) {

    // get start time
    time(&startTime);
    // call fib
    result = fib(i);
    // get stop time
    time(&stopTime);

    printf("fib of %d = %llu\n", i, result);
    printf("time taken (sec) = %lf\n\n", difftime(stopTime, startTime));
}

printf("\n\n\n");

for (i = 0; i < 90; i+=5) {

    // get start time
    time(&startTime);
    // call mfib
    initMemo();
    result = mfib(i);
    // get stop time
    time(&stopTime);

    printf("mfib of %d = %llu\n", i, result);
    printf("time taken (sec) = %lf\n\n", difftime(stopTime, startTime));
}

return 0;
}

What is the output of the completed code when ran?