So, here is my homework problem. It states "Enter five numbers five times. Every time, the program chooses the biggest number you enter, and it returns the arithmetic mean of those five largest numbers." Now, what I've done is use max function, however, I learned that it isn't useable in this way. Here is what I've tried:
#include <iostream>
using namespace std;
int main() {
int zbir = 0;
for (int i = 1; i < 6; i++) {
int a, b, c, d, e;
for (int j = 1; j < 6; j++) {
cin >> a >> b >> c >> d >> e;
}
int maks = max(a, b, c, d, e);
zbir = zbir + maks;
}
cout << zbir / 5;
}
There are two versions of max: the two-argument version, and the initializer list version. In this case, you have five arguments, so use the initializer list version:
std::max({a, b, c, d, e})
(You need to #include <algorithm> to use std::max.)
Within your code you do not need to have an inner for-loop because you are already collecting all 5 of the user numbers with the cin >> a >> b >> c >> d >> e; statement. Having a second for loop around it will cause you to collect 5 numbers from the user 25 times total.
This is an example of the alternative to using the max function in which case a single number is collected 5 times making use of an inner for-loop:
int main()
{
int sumOfMaxNums = 0;
int userNum = 0;
int maxNum = 0;
// it is a good practice to have a const that will bound the loop
// this way you can change it from here
// in other cases you can have two different const bounds, one for the inner loop and
// one for the outer loop because they may differ
const int NUM_ITERS = 5;
// This will handle asking the user to enter the numbers 5 times
for(int i = 0; i < NUM_ITERS; ++i)
{
// this loop will asks the user to enter a number 5 times and keep track of the max
for(int j = 0; j < NUM_ITERS; ++j)
{
cin >> userNum;
// here we want to set the maxNum to be the very first number that the user enters
// or we could set it to smallest negative number
if(j == 0)
{
maxNum = userNum;
}
else if(userNum > maxNum)
{
maxNum = userNum;
}
} // end of inner for-loop
sumOfMaxNums += maxNum;
} // end of outer for-loop
cout << sumOfMaxNums / static_cast<float>(NUM_ITERS) << "\n";
} // end of main
You probably want to calculate the mean as a float rather than an int, otherwise the program will round the final answer down to the nearest whole number. Also, you really don't need to use five variables to store each cycle's inputs, since you can ignore any inputs that are less than the running maximum for that cycle. This means you don't need to use std::max at all.
#include<iostream>
int main()
{
float running_total = 0;
for (int cycle = 1; cycle < 6; ++cycle)
{
float cycle_max;
for (int entry = 1; entry < 6; ++entry)
{
float input = 0;
std::cin >> input;
if (entry == 1 || input > cycle_max) cycle_max = input;
}
running_total += cycle_max;
}
std::cout << running_total / 5 << std::endl;
}
Related
Program in C++ that takes 3 numbers and send them to a function and then calculate the average function of these 3 numbers.
I know how to do that without using a function ,for example for any n numbers I have the following program:
#include<stdio.h>
int main()
{
int n, i;
float sum = 0, x;
printf("Enter number of elements: ");
scanf("%d", &n);
printf("\n\n\nEnter %d elements\n\n", n);
for(i = 0; i < n; i++)
{
scanf("%f", &x);
sum += x;
}
printf("\n\n\nAverage of the entered numbers is = %f", (sum/n));
return 0;
}
Or this one which do that using arrays:
#include <iostream>
using namespace std;
int main()
{
int n, i;
float num[100], sum=0.0, average;
cout << "Enter the numbers of data: ";
cin >> n;
while (n > 100 || n <= 0)
{
cout << "Error! number should in range of (1 to 100)." << endl;
cout << "Enter the number again: ";
cin >> n;
}
for(i = 0; i < n; ++i)
{
cout << i + 1 << ". Enter number: ";
cin >> num[i];
sum += num[i];
}
average = sum / n;
cout << "Average = " << average;
return 0;
}
But is it possible to use functions?if yes then how? thank you so much for helping.
As an alternative to using fundamental types to store your values C++ provides std::vector to handle numeric storage (with automatic memory management) instead of plain old arrays, and it provides many tools, like std::accumulate. Using what C++ provides can substantially reduce your function to:
double avg (std::vector<int>& i)
{
/* return sum of elements divided by the number of elements */
return std::accumulate (i.begin(), i.end(), 0) / static_cast<double>(i.size());
}
In fact a complete example can require only a dozen or so additional lines, e.g.
#include <iostream>
#include <vector>
#include <numeric>
double avg (std::vector<int>& i)
{
/* return sum of elements divided by the number of elements */
return std::accumulate (i.begin(), i.end(), 0) / static_cast<double>(i.size());
}
int main (void) {
int n; /* temporary integer */
std::vector<int> v {}; /* vector of int */
while (std::cin >> n) /* while good integer read */
v.push_back(n); /* add to vector */
std::cout << "\naverage: " << avg(v) << '\n'; /* output result */
}
Above, input is taken from stdin and it will handle as many integers as you would like to enter (or redirect from a file as input). The std::accumulate simply sums the stored integers in the vector and then to complete the average, you simply divide by the number of elements (with a cast to double to prevent integer-division).
Example Use/Output
$ ./bin/accumulate_vect
10
20
34
done
average: 21.3333
(note: you can enter any non-integer (or manual EOF) to end input of values, "done" was simply used above, but it could just as well be 'q' or "gorilla" -- any non-integer)
It is good to work both with plain-old array (because there is a lot of legacy code out there that uses them), but equally good to know that new code written can take advantage of the nice containers and numeric routines C++ now provides (and has for a decade or so).
So, I created two options for you, one use vector and that's really comfortable because you can find out the size with a function-member and the other with array
#include <iostream>
#include <vector>
float average(std::vector<int> vec)
{
float sum = 0;
for (int i = 0; i < vec.size(); ++i)
{
sum += vec[i];
}
sum /= vec.size();
return sum;
}
float average(int arr[],const int n)
{
float sum = 0;
for (int i = 0; i < n; ++i)
{
sum += arr[i];
}
sum /= n;
return sum;
}
int main() {
std::vector<int> vec = { 1,2,3,4,5,6,99};
int arr[7] = { 1,2,3,4,5,6,99 };
std::cout << average(vec) << " " << average(arr, 7);
}
This is an example meant to give you an idea about what needs to be done. You can do this the following way:
// we pass an array "a" that has N elements
double average(int a[], const int N)
{
int sum = 0;
// we go through each element and we sum them up
for(int i = 0; i < N; ++i)
{
sum+=a[i];
}
// we divide the sum by the number of elements
// but we first have to multiply the number of elements by 1.0
// in order to prevent integer division from happening
return sum/(N*1.0);
}
int main()
{
const int N = 3;
int a[N];
cin >> a[0] >> a[1] >> a[2];
cout << average(a, N) << endl;
return 0;
}
how to do that without using a function
Quite simple. Just put your code in a function, let's call it calculateAverage and return the average value from it. What should this function take as input?
The list of numbers (array of numbers)
Total numbers (n)
So let's first get the input from the user and put it into the array, you have already done it:
for(int i = 0; i < n; ++i)
{
cout << i + 1 << ". Enter number: ";
cin >> num[i];
}
Now, lets make a small function i.e., calculateAverage():
int calculateAverage(int numbers[], int total)
{
int sum = 0; // always initialize your variables
for(int i = 0; i < total; ++i)
{
sum += numbers[i];
}
const int average = sum / total; // it is constant and should never change
// so we qualify it as 'const'
//return this value
return average
}
There are a few important points to note here.
When you pass an array into a function, you will loose size information i.e, how many elements it contains or it can contain. This is because it decays into a pointer. So how do we fix this? There are a couple of ways,
pass the size information in the function, like we passed total
Use an std::vector (when you don't know how many elements the user will enter). std::vector is a dynamic array, it will grow as required. If you know the number of elements beforehand, you can use std::array
A few problems with your code:
using namespace std;
Don't do this. Instead if you want something out of std, for e.g., cout you can do:
using std::cout
using std::cin
...
or you can just write std::cout everytime.
int n, i;
float num[100], sum=0.0, average;
Always initialize your variables before you use them. If you don't know the value they should be initialized to, just default initialize using {};
int n{}, i{};
float num[100]{}, sum=0.0, average{};
It is not mandatory, but good practice to declare variables on separate lines. This makes your code more readable.
I input p and n (int type) numbers from my keyboard, I want to generate the first p*n square numbers into the array pp[99]. Here's my code:
#include <iostream>
#include <math.h>
using namespace std;
int main()
{
int i, j, n, p, pp[19];
cout<<"n="; cin>>n;
cout<<"p="; cin>>p;
i=n*p;
j=-1;
while(i!=0)
{
if(sqrt(i)==(float)sqrt(i))
{
j++;
pp[j]=i;
}
i--;
}
for(i=0; i<n*p; i++)
cout<<pp[i]<<" ";
return 0;
}
But I am encountering the following problem: If I for example I enter p=3 and n=3, it will only show me the first 3 square numbers instead of 9, the rest 6 being zeros. Now I know why this happens, just not sure how to fix it (it's checking the first n * p natural numbers and seeing which are squares, not the first n*p squares).
If I take the i-- and add it in the if{ } statement then the algorithm will never end, once it reaches a non-square number (which will be instant unless the first one it checks is a perfect square) the algorithm will stop succeeding in iteration and will be blocked checking the same number an infinite amount of times.
Any way to fix this?
Instead of searching for them, generate them.
int square(int x)
{
return x * x;
}
int main()
{
int n = 0;
int p = 0;
std::cin >> n >> p;
int limit = n * p;
int squares[99] = {};
for (int i = 0; i < limit; i++)
{
squares[i] = square(i+1);
}
for (int i = 0; i < limit; i++)
{
std::cout << squares[i] << ' ';
}
}
I'm creating this very simple C++ program.
the program asks the user to enter a few integers and stores them in an array.but when a specific integer(for example 50)is entered,the input is ended and then,all of the integers are displayed on the screen except for 50.
for example:
input:
1
2
88
50
output:
1
2
88
the error i'm getting is when i use cout to print the array,all of numbers are shown,including 50 and numbers i did'nt even entered.
this is my code so far:
#include<iostream>
int main() {
int num[100];
for(int i=0;i<=100;i++) {
cin >> num[i];
if (num[i]!=50) break;
}
for(int j=0;j<=100;j++) {
cout << num[j] << endl;
}
return 0;
}
Change the program the following way
#include<iostream>
int main()
{
const size_t N = 100;
int num[N];
size_t n = 0;
int value;
while ( n < N && std::cin >> value && value != 50 ) num[n++] = value;
for ( size_t i = 0; i < n; i++ ) std::cout << num[i] << std::endl;
return 0;
}
Here in the first loop variable n is used to count the actual number of entered values. And then this variable is used as the upper bound for the second loop.
As for your program then the valid range of indices for the first loop is 0-99 and you have to output only whose elements of the array that were inputed.
A do while loop is more suitable for your problem. The stop condition will check if the number fit inside the array (if k is not bigger than 100) and if number entered is 50.
#include<iostream>
using namespace std;
int main() {
int num[100];
int k = 0;
// A do while loop will be more suitable
do{
cin >> num[k++];
}while(k<100&&num[k-1]!=50);
for (int j = 0; j < k-1; j++) {
cout << num[j] << endl;
}
return 0;
}
Also, a better solution to get rid of 100 limitation is to use std::vector data structure that automatically adjust it's size, like this:
vector<int> num;
int temp;
do {
cin >> temp;
num.push_back(temp);
} while (temp != 50);
Note, you can use temp.size() to get the number of items stored.
You read up to 101 numbers, but if you enter 50 you break the loop and go for printing it. In the printing loop you go through all 101 numbers, but you actually may have not set all of them.
In the first loop count in a count variable the numbers you read until you meet 50 and in the printing loop just iterate count-1 times.
You have allocated an array of 100 integers on the stack. The values are not initialized to zero by default, so you end up having whatever was on the stack previously appear in your array.
You have also off-by-one in both of your loops, you allocated array of 100 integers so that means index range of 0-99.
As the question is tagged as C++, I would suggest that you leave the C-style array and instead use a std::vector to store the values. This makes it more flexible as you don't have to specify a fixed size (or manage memory) and you don't end up with uninitialized values.
Little example code (requires C++11 compiler):
#include <iostream>
#include <vector>
int main()
{
std::vector<int> numbers; // Store the numbers here
for(int i = 0; i < 100; ++i) // Ask a number 100 times
{
int n;
std::cin >> n;
if( n == 50 ) // Stop if user enters 50
break;
numbers.push_back(n); // Add the number to the numbers vector
}
for (auto n : numbers) // Print all the values in the numbers vector
std::cout << n << std::endl;
return 0;
}
There are just 2 changes in your code check it out :
int main()
{
int num[100],i; //initialize i outside scope to count number of inputs
for(i=0;i<100;i++) {
cin >> num[i];
if (num[i]==50) break; //break if the entered number is 50
}
for(int j=0;j<=i-1;j++)
{
cout << num[j] << endl;
}
return 0;
}
Okay, others already pointed out the two mistakes. You should use i < 100 in the loop conditions instead of i <= 100 and you have to keep track of how many elements you entered.
Now let me add an answer how I think it would be better.
#include <iostream>
#include <vector>
int main() {
std::vector<int> numbers; // Create an empty vector.
for (int temp; // a temp variable in the for loop.
numbers.size() < 100 && // check that we have less than 100 elements.
std::cin >> temp && // read in the temp variable,
// and check if the read was a success.
temp != 50) // lastly check that the value we read isn't 50.
{
numbers.push_back(temp); // Now we just add it to the vector.
}
for (int i = 0; i < numbers.size(); ++i)
std::cout << numbers[i]; // Now we just print all the elements of
// the vector. We only added correct items.
}
The above code doesn't even read anymore numbers after it found 50. And if you want to be able to enter any number of elements you just have to remove the check that we have less than 100 elements.
Now I commented the above code a bit much, if you compress it it'll reduce to just:
#include <iostream>
#include <vector>
int main() {
std::vector<int> numbers; // Create an empty vector.
for (int temp; numbers.size() < 100 && std::cin >> temp && temp != 50)
numbers.push_back(temp);
for (int i = 0; i < numbers.size(); ++i)
std::cout << numbers[i];
}
If you can use the C++11 standard it reduces to:
#include <iostream>
#include <vector>
int main() {
std::vector<int> numbers; // Create an empty vector.
for (int temp; numbers.size() < 100 && std::cin >> temp && temp != 50)
numbers.push_back(temp);
for (int element : numbers)
std::cout << element;
}
for (auto element : numbers) is new, it basically means for every int 'element' in 'numbers'.
I am very very new to C++ and I am trying to call the function "jacobi" which performs a user specified number of iterations for the jacobi method (or at least I hope so). On the line where I call 'jacobi' I get the error "No matching function to call to "jacobi". I have read other posts similar to this one and have tried to apply it to my own code but I have been unsuccessful. Maybe there are other issues in my code causing this problem. As mentioned I am very new C++ so any help would be appreciated and please break it down for me.
#include <iostream>
using namespace std;
void jacobi (int size, int max, int B[size], int A[size][size], int init[size], int x[size]){
////
//// JACOBI
////
int i,j,k,sum[size];
k = 1;
while (k <= max) // Only continue to max number of iterations
{
for (i = 0; i < size; i++)
{
sum[i] = B[i];
for (j = 0; j < size; j++)
{
if (i != j)
{
sum[i] = sum[i] - A[i][j] * init[j]; // summation
}
}
}
for (i = 0; i < size; i++) ////HERE LIES THE DIFFERENCE BETWEEN Guass-Seidel and Jacobi
{
x[i] = sum[i]/A[i][i]; // divide summation by a[i][i]
init[i] = x[i]; //use new_x(k+1) as init_x(k) for next iteration
}
k++;
}
cout << "Jacobi Approximation to "<<k-1<<" iterations is: \n";
for(i=0;i<size;i++)
{
cout <<x[i]<< "\n"; // print found approximation.
}
cout << "\n";
return;
}
int main (){
// User INPUT
// n: number of equations and unknowns
int n;
cout << "Enter the number of equations: \n";
cin >> n;
// Nmax: max number of iterations
int Nmax;
cout << "Enter max number of interations: \n";
cin >> Nmax;
// int tol;
// cout << "Enter the tolerance level: " ;
// cin >> tol;
// b[n] and a[n][n]: array of coefficients of 'A' and array of int 'b'
int b[n];
int i,j;
cout << "Enter 'b' of Ax = b, separated by a space: \n";
for (i = 0; i < n; i++)
{
cin >> b[i];
}
// user enters coefficients and builds matrix
int a[n][n];
int init_x[n],new_x[n];
cout << "Enter matrix coefficients or 'A' of Ax = b, by row and separate by a space: \n";
for (i = 0; i < n; i++)
{
init_x[i] = 0;
new_x[i] = 0;
for (j = 0; j < n; j++)
{
cin >> a[i][j];
}
}
jacobi (n, Nmax, b, a, init_x, new_x);
}
The problem:
There are several problems, related to the use of arrays:
You can't pass arrays as parameter by value.
You can't pass multidimensional arrays as parameter if the dimensions are variable
You can't define arrays of variable length in C++
Of course there are ways to do all these kind of things, but it uses different principles (dynamic allocation, use of pointers) and requires additional work (especially for the access of multidimensional array elements).
Fortunately, there is a much easier solution also !
The solution:
For this kind of code you should go for vector : these manage variable length and can be passed by value.
For the jacobi() function, all you have to do is to change its definition:
void jacobi(int size, int max, vector<int> B, vector<vector<int>> A, vector<int> init, vector<int> x) {
int i, j, k;
vector<int> sum(size); // vector of 'size' empty elements
// The rest of the function will work unchanged
...
}
Attention however: the vectors can be of variable size and this jacobio implementation assumes that all the vectors are of the expected size. In professional level code you should check that it's the case.
For the implementation of main(), the code is almost unchanged. All you have to do is to replace array definitions by vector definitions:
...
vector<int> b(n); // creates a vector that is initialized with n elements.
...
vector<vector<int>> a(n,vector<int>(n)); // same idea for 2 dimensional vector (i.e. a vector of vectors)
vector<int> init_x(n), new_x(n); // same principle as for b
...
I am considering a society where there are an arbitrary number of people. Each person has just two choices. Either he or she stays with her current choice or she switches. In the code that I want to write, the probability that the person switches is inputted by the user.
To make clear what I am trying to do, suppose that the user tells the computer that there are 3 people in the society where the probabilities that each person chooses to switch is given by (p1,p2,p3). Consider person 1. He has probability of p1 of switching. Using him as a base for our calculation, the probability given person 1 as a base, that exactly no one in the society chooses to switch is given by
P_{1}(0)=(1-p2)*(1-p3)
and the probability using person 1 as a base, that exactly one person in the society chooses to switch is given by
P_{1}(1)=p2*(1-p3)+(1-p2)*p3.
I can't figure out how to write this probability function in C++ without writing out every term in the sum. I considered using the binomial coefficient but I can't figure out a closed form expression for the sum since depending on user input, there are arbitrarily many probabilities that need to be considered.
I have attached what I have. The probability function is only a part of what I am trying to do but it is also the hardest part. I named the probability function probab and what I have in the for loop within the function is obviously wrong.
EDIT: Basically I want to calculate the probability of choosing a subset where each element in that subset has a different probability of being chosen.
I would appreciate any tips on how to go about this. Note that I am a beginner at C++ so any tips on improving my programming skills is also appreciated.
#include <iostream>
#include <vector>
using namespace std;
unsigned int factorial(unsigned int n);
unsigned int binomial(unsigned int bin, unsigned int cho);
double probab(int numOfPeople, vector<double> probs, int p, int num);
int main() {
char correctness;
int numOfPeople = 0;
cout << "Enter the # of people: ";
cin >> numOfPeople;
vector<double> probs(numOfPeople); // Create a vector of size numOfPeople;
for (int i = 1; i < numOfPeople+1; i++) {
cout << "Enter the probability of person "<< i << " will accept change: ";
cin >> probs[i-1];
}
cout << "You have entered the following probabilities of accepting change: (";
for (int i = 1; i < numOfPeople+1; i++) {
cout << probs[i-1];
if (i == numOfPeople) {
cout << ")";
}
else {
cout << ",";
}
}
cout << endl;
cout << "Is this correct? (Enter y for yes, n for no): ";
cin >> correctness;
if (correctness == 'n') {
return 0;
}
return 0;
}
unsigned int factorial(unsigned int n){ // Factorial function
unsigned int ret = 1;
for(unsigned int i = 1; i <= n; ++i) {
ret *= i;
}
return ret;
}
unsigned int binomial(unsigned int totl, unsigned int choose) { // Binomial function
unsigned int bin = 0;
bin = factorial(totl)/(factorial(choose)*factorial(totl-choose));
return bin;
}
double probab(int numOfPeople, vector<double> probs, int p, int num) { // Probability function
double prob = 0;
for (int i = 1; i < numOfPeople; i++) {
prob += binomial(numOfPeople, i-1)/probs[p]*probs[i-1];
}
return prob;
}
For future reference, for anybody attempting to do this, the probability function will look something like:
double probability (vector<double> &yesprobabilities, unsigned int numOfPeople, unsigned int yesNumber, unsigned int startIndex) {
double kprobability = 0;
// Not enough people!
if (numOfPeople-1 < yesNumber) {
kprobability = 0;
}
// n == k, the only way k people will say yes is if all the remaining people say yes.
else if (numOfPeople-1 == yesNumber) {
kprobability = 1;
for (int i = startIndex; i < numOfPeople-1; ++i) {
kprobability = kprobability * yesprobabilities[i];
}
}
else if (yesprobabilities[startIndex] == 1) {
kprobability += probability(yesprobabilities,numOfPeople-1,yesNumber-1,startIndex+1);
}
else {
// The first person says yes, k - 1 of the other persons have to say yes.
kprobability += yesprobabilities[startIndex] * probability(yesprobabilities,numOfPeople-1,yesNumber-1,startIndex+1);
// The first person says no, k of the other persons have to say yes.
kprobability += (1 - yesprobabilities[startIndex]) * probability(yesprobabilities,numOfPeople-1,yesNumber,startIndex+1);
}
return probability;
}
Something called a recursive function is used here. This is completely new to me and very illuminating. I credit this to Calle from Math stack exchange. I modified his version slightly to take vectors instead of arrays with some help.