Solutions

sheet1/A/.vscode/settings.json

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+{
+    "files.associations": {
+        "vector": "cpp"
+    }
+}

sheet1/A/Makefile

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+#
+# use GNU-Compiler tools
+COMPILER=GCC_
+# alternatively from the shell
+# export COMPILER=GCC_
+# or, alternatively from the shell
+# make COMPILER=GCC_
+
+# use Intel compilers
+#COMPILER=ICC_
+
+# use PGI compilers
+# COMPILER=PGI_
+
+
+SOURCES = main.cpp means.cpp
+OBJECTS = $(SOURCES:.cpp=.o)
+
+PROGRAM	= main.${COMPILER}
+
+# uncomment the next to lines for debugging and detailed performance analysis
+CXXFLAGS += -g
+LINKFLAGS += -g
+# do not use -pg with PGI compilers
+
+ifndef COMPILER
+  COMPILER=GCC_
+endif
+
+include ../${COMPILER}default.mk

sheet1/A/main.cpp

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+#include <iostream>
+#include <cmath>
+#include <vector>
+#include "means.h"
+
+using namespace std;
+
+
+int main() {
+    int a = 1, b = 4, c = 16;
+    double ar, ge, ha;
+
+    // c)
+    means(a, b, c, ar, ge, ha);
+    cout << "Arithmetic mean: " << ar
+         << ", geometric mean: " << ge
+         << ", harmonic mean: " << ha << endl;
+
+    // d)
+    a = 2; b = 3; c = 5;
+    means(a, b, c, ar, ge, ha);
+    cout << "Arithmetic mean: " << ar
+         << ", geometric mean: " << ge
+         << ", harmonic mean: " << ha << endl;
+
+    // e)
+    a = 1000; b = 4000; c = 16000;
+    means(a, b, c, ar, ge, ha);
+    
+    cout << "Arithmetic mean: " << ar
+         << ", geometric mean: " << ge
+         << ", harmonic mean: " << ha << endl;
+
+    // f)
+    vector<int> input = {1, 2, 3, 4, 5, 6};
+    means_vector(input, ar, ge, ha);
+    cout << "Arithmetic mean: " << ar
+         << ", geometric mean: " << ge
+         << ", harmonic mean: " << ha << endl;
+
+    return 0;
+}

sheet1/A/means.cpp

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+#include <iostream>
+#include <cmath>
+#include <vector>
+
+using namespace std;
+
+void means(int a, int b, int c, double &ar, double &ge, double &ha) {
+    ar = (a+b+c) / 3.0;
+
+
+    ge = pow(a,1.0/3.0) * pow(b,1.0/3.0) * pow(c,1.0/3.0); //do it instead of pow(a*b*c,1.0/3.0) to prevent integer overflow
+
+    ha = 3.0 / (1.0/a +1.0/b +1.0/c); 
+}
+
+void means_vector(const vector<int> &input, double &ar, double &ge, double &ha) {
+    int size = input.size();
+
+    if (size == 0) {
+        cout << "Empty input" << endl;
+        return;
+    }
+
+    ar = 0;
+    ge = 1;
+    ha = 0;
+
+    for (int i = 0; i < size; i++) {
+        ar += input.at(i);
+        ge *=  pow(input.at(i), 1.0 / size);
+        ha += 1.0 / input.at(i);
+    }
+
+    ar /= size;
+    ha = size / ha;
+}

sheet1/A/means.h

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+#ifndef MEANS_H_INCLUDED
+#define MEANS_H_INCLUDED
+
+#include <vector>
+
+void means(int a, int b, int c, double &ar, double &ge, double &ha);
+void means_vector(const std::vector<int> &input, double &ar, double &ge, double &ha);
+
+#endif // MEANS_H_INCLUDED