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#include <iostream>
#include <fstream>
#include <string>
#include <stdlib.h>
#include <string.h>
#define MAX 100005;
using namespace std;
const char *in_file_name = "sum.in";
const char *out_file_name = "sum.out";
int phi;
void die(bool assertion, const char *message)
{
if (assertion) {
fprintf(stderr, "(%s, %d): ",__FILE__, __LINE__);
perror(message);
exit(EXIT_FAILURE);
}
}
int *set_phi()
{
int N = MAX;
int *phi = new int[N+5];
memset(phi, 0, sizeof(int) * (N+5));
for (int i = 2; i <= N; i++)
phi[i] = i - 1;
for (int i = 2; 2*i < N; i++)
for (int j = 2*i; j < N; j += i)
phi[j] -= phi[i];
return phi;
}
int main()
{
int N, x, offset = 0;
int *phi;
char *results;
char buffer[100];
string line;
ifstream in_file;
ofstream out_file;
in_file.open(in_file_name, ios::in);
die(!in_file, "Error opening file for reading");
out_file.open(out_file_name, ios::out);
die(!out_file, "Error opening file for writing");
getline(in_file, line);
N = atoi(line.c_str());
phi = set_phi();
results = new char[100*N+10];
for (int i = 0; i < N; i++) {
getline(in_file, line);
x = atoi(line.c_str());
memset(&buffer[0], 0, sizeof(buffer));
sprintf(buffer, "%llu\n", phi[x]*2*x*1LL);
sprintf(results + offset, "%s", buffer);
offset += strlen(buffer);
}
out_file << results;
in_file.close();
out_file.close();
delete []results;
delete []phi;
return 0;
}