How do I complete the code to get a similar output in the image? 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: #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() { // ***** ADD YOUR INITIALIZATION CODE HERE ***** // ***** ADD YOUR INITIALIZATION CODE HERE ***** // ***** ADD YOUR INITIALIZATION CODE HERE ***** // ***** ADD YOUR INITIALIZATION CODE HERE ***** // ***** ADD YOUR INITIALIZATION CODE HERE ***** 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) { // ***** ADD YOUR MFIB CODE HERE ***** // ***** ADD YOUR MFIB CODE HERE ***** // ***** ADD YOUR MFIB CODE HERE ***** // ***** ADD YOUR MFIB CODE HERE ***** // ***** ADD YOUR MFIB CODE HERE ***** return 0; // 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); 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; } Sample output:
How do I complete the code to get a similar output in the image?
Fibonacci Sequence Coding using Memoization C
- 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:
#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() {
// ***** ADD YOUR INITIALIZATION CODE HERE *****
// ***** ADD YOUR INITIALIZATION CODE HERE *****
// ***** ADD YOUR INITIALIZATION CODE HERE *****
// ***** ADD YOUR INITIALIZATION CODE HERE *****
// ***** ADD YOUR INITIALIZATION CODE HERE *****
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) {
// ***** ADD YOUR MFIB CODE HERE *****
// ***** ADD YOUR MFIB CODE HERE *****
// ***** ADD YOUR MFIB CODE HERE *****
// ***** ADD YOUR MFIB CODE HERE *****
// ***** ADD YOUR MFIB CODE HERE *****
return 0; // 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);
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;
}
Sample output:
![fib of 0 = 0
time taken (sec) = 0.000000
mfib of 15 = 0
time taken (sec) = 0.000000
mfib of 75 = 0
time taken (sec) = 0.000000
fib of 5 = 5
time taken (sec) = 0.000000
mfib of 20 = 0
time taken (sec) = 0.000000
mfib of 80 = 0
time taken (sec) = 0.000000
fib of 10 = 55
time taken (sec) = 0.000000
mfib of 25 = 0
time taken (sec) = 0.000000
mfib of 85 = 0
time taken (sec) = 0.000000
fib of 15 = 610
time taken (sec) = 0.000000
mfib of 36 = 0
time taken (sec) = 0.000000
fib of 20 = 6765
time taken (sec) = 0.000000
fib of 25 = 75025
time taken (sec) = 0.000000
mfib of 35 = 0
time taken (sec) = 0.000000
fib of 30 = 832040
time taken (sec) = 0.000000
mfib of 40 = 0
time taken (sec)
= 0.000000
fib of 35 = 9227465
time taken (sec) = 0.000000
Fib of 45 = 0
time taken (sec) = 0.000000
fib of 40 = 102334155
time taken (sec) = 1.000000
fib of 45 = 1134903170
time taken (sec) = 9.000e00
mfib of 50 = 0
time taken (sec) = 0.000000
fib of 50 = 12586269025
time taken (sec) = 108.00000
mfib of 55 = 0
time taken (sec)
= 0.0000e0
mfib of 60 = 0
time taken (sec) = 0.000000
mfib of e = 0
time taken (sec) = 0.000000
mfib of 65 = 0
time taken (sec) = 0.000000
mfib of 5 = 0
time taken (sec) = 0.000e00
mfib of 10 = 0
time taken (sec) = 0.00e000
mfib of 70 = 0
time taken (sec)
= 0.000000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cb58778-70ba-4f7e-90ce-7267bd79a013%2Fb3bd9f6e-3f6d-4dea-924d-04cdf3673a15%2F2uqm2v_processed.png&w=3840&q=75)
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