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#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#include <stdint.h>
typedef unsigned int uint;
#define C 9901
uint sumdiv(uint n);
uint binexp(uint a, uint b);
int egcd(int a, int b, int *x, int *y);
uint invers_mod(uint x, uint m);
int main(void)
{
FILE *in = fopen("C:/Users/arco/Desktop/code/ads.txt", "r");
FILE *out = fopen("C:/Users/arco/Desktop/code/out.txt", "w");
if(in != NULL && out != NULL)
{
uint a, b;
fscanf(in, "%u%*c%u%*c", &a, &b);
printf("%u\n", sumdiv(binexp(a, b)));
fclose(in);
fclose(out);
}
else
{
printf("file error\n");
}
return 0;
}
uint invers_mod(uint x, uint m)
{
int s, f;
int d = egcd(x, m, &s, &f);
if(d == 1)
{
return (s % m + m) % m;
}
else
{
printf("No invers moduloar\n\n");
}
}
int egcd(int a, int b, int *x, int *y)
{
if(a == 0)
{
*x = 0;
*y = 1;
return b;
}
else
{
int x1, y1;
int d = egcd(b % a, a, &x1, &y1);
*x = y1 - (b / a) * x1;
*y = x1;
return d;
}
}
uint binexp(uint x, uint n)
{
if(n == 1)
{
return x % C;
}
uint res = 1;
while(n > 0)
{
if(n % 2 != 0)
{
res = ((res % C) * (x % C)) % C;
}
x = ((x % C) * (x % C)) % C;
n /= 2;
}
return res;
}
uint sumdiv(uint n)
{
uint res = 1, d = 2;
while(n > 1)
{
uint p = 0;
while(n % d == 0)
{
p++;
n /= d;
}
if(p)
{
printf("q: %u %u\n", d, p);
uint iv = invers_mod(d - 1, C);
uint r = (((binexp(d, p) - 1) % C) * (iv % C)) % C;
res = ((res % C) * (r % C)) % C;
}
d++;
if(n > 1 && d * d > n)
{
d = n;
}
}
return res;
}