diff --git a/exercice_2/src/compute_arithmetic.cc b/exercice_2/src/compute_arithmetic.cc
index 6615fde..a2d1c24 100644
--- a/exercice_2/src/compute_arithmetic.cc
+++ b/exercice_2/src/compute_arithmetic.cc
@@ -1,12 +1,12 @@
 #include "compute_arithmetic.hh"
 /* -------------------------------------------------------------------------- */
 
 double ComputeArithmetic::compute(unsigned int N) {
-  double sum_value = 0;
-  for (int k = 0; k < N; ++k)
+  double sum_value = 0.;
+  for (int k = 1; k <= N; ++k)
     sum_value += k;
 
   return sum_value;
 }
 
 ComputeArithmetic::~ComputeArithmetic() = default;
diff --git a/exercice_2/src/compute_pi.cc b/exercice_2/src/compute_pi.cc
index 7fcf297..8194113 100644
--- a/exercice_2/src/compute_pi.cc
+++ b/exercice_2/src/compute_pi.cc
@@ -1,12 +1,12 @@
 #include "compute_pi.hh"
 #include <cmath>
 
 double ComputePi::compute(unsigned int N) {
-  double inner_root = 0;
-  for (int k = 0; k < N; ++k)
+  double inner_root = 0.;
+  for (int k = 1; k <= N; ++k)
     inner_root += 1 / pow(k, 2);
 
   return sqrt(6. * inner_root);
 }
 
 ComputePi::~ComputePi() = default;
diff --git a/exercice_2/src/compute_pi.hh b/exercice_2/src/compute_pi.hh
index 226d744..536cffa 100644
--- a/exercice_2/src/compute_pi.hh
+++ b/exercice_2/src/compute_pi.hh
@@ -1,15 +1,15 @@
 #ifndef COMPUTE_PI_HH
 #define COMPUTE_PI_HH
 
 #include "series.hh"
 
 class ComputePi : public Series {
 public:
   // ComputePi();
   virtual ~ComputePi();
 
 public:
-  double compute(unsigned int N);
+  double compute(unsigned int N) override;
 };
 
 #endif
diff --git a/exercice_2/src/main.cc b/exercice_2/src/main.cc
index 36f2b3b..0870608 100644
--- a/exercice_2/src/main.cc
+++ b/exercice_2/src/main.cc
@@ -1,49 +1,51 @@
 /* created by Marti Bosch and Marc Schwaerzel*/
 /* -------------------------------------------------------------------------- */
 #include <cstdlib>
 #include <iostream>
 #include <sstream>
 
 #include "compute_arithmetic.hh"
 #include "compute_pi.hh"
 #include "print_series.hh"
 #include "series.hh"
 /* -------------------------------------------------------------------------- */
 
 int main(int argc, char **argv) {
   std::cout << "exercice 2" << std::endl;
 
-  std::cout << "please enter the following arguments: frequence, maxiter, "
+  /* std::cout << "please enter the following arguments: frequence, maxiter, "
                "serie_type= #"
             << std::endl;
   const char *series_type;
   int maxiter;
   int ferquency;
 
   if (argc != 3) {
 
     std::cout << "retry with arg: frequence, maxiter, serie_type=pi/arithmetic"
               << std::endl;
 
     return EXIT_FAILURE;
   }
 
   Series *input_series_type;
 
-  /* if (series_type == "arithmetic"){
+   if (series_type == "arithmetic"){
 
     input_series_type = new ComputeArithmetic();
 
   }
   else if (series_type == "pi"){
 
     input_series_type = new ComputePi();
 
   }
   else{std::cout << "input error"<< std::endl;
   }*/
-
   ComputeArithmetic comparith;
+	ComputePi comp;
+	std::cout<<comp.compute(3)<<std::endl;
 
   PrintSeries printseries(comparith, 100, 10);
+
 }