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#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int gcd(int a, int b) {
if (b == 0) {
return a;
} else {
return gcd(b, a % b);
}
}
int v1(int n) {
int fractionsCount = 0;
for (int a = 1; a <= n; ++a) {
int count = 0;
for (int b = 1; b <= n; ++b) {
if (gcd(a, b) == 1) {
fractionsCount++;
count++;
}
}
}
return fractionsCount;
}
int v2(int n) {
if (n == 1) {
return 1;
}
int fractionsCount = n;
int primeDivisors[8];
int primeDivisorsCount = 0;
int *array = calloc(n, sizeof(int));
for (int num = 2; num <= n; ++num) {
primeDivisorsCount = 0;
int clone = num;
if (clone % 2 == 0) {
primeDivisors[primeDivisorsCount++] = 2;
do {
clone >>= 1;
} while (clone % 2 == 0);
}
for (int div = 3; div <= clone; div += 2) {
if (clone % div == 0) {
primeDivisors[primeDivisorsCount++] = div;
do {
clone /= div;
} while (clone % div == 0);
}
}
switch (primeDivisorsCount) {
case 0:
fractionsCount += n - n / num;
break;
case 1:
fractionsCount += n - n / primeDivisors[0];
break;
case 2:
fractionsCount +=
n - (n / primeDivisors[0] + n / primeDivisors[1] - n / (primeDivisors[0] * primeDivisors[1]));
break;
default: {
memset(array, 0, n * sizeof(int));
for (int index = 0; index < primeDivisorsCount; ++index) {
for (int i = primeDivisors[index]; i <= n; i += primeDivisors[index]) {
array[i - 1] = 1;
}
}
for (int index = 0; index < n; ++index) {
if (array[index] == 0) {
fractionsCount++;
}
}
}
break;
}
}
free(array);
return fractionsCount;
}
int main() {
char *inFileName = "fractii.in";
char *outFileName = "fractii.out";
FILE *in = fopen(inFileName, "r");
if (in == NULL) {
printf("Cannot open %s.\n", inFileName);
return 1;
}
FILE *out = fopen(outFileName, "w");
int n;
fscanf(in, "%d", &n);
if (n == 1) {
fprintf(out, "1");
} else {
fprintf(out, "%d", v2(n));
}
fclose(in);
fclose(out);
return 0;
}