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Cod sursa(job #586179)
#include <stdio.h>
#include <math.h>
#define MAX_N 3500
int cmmdc, n, m;
int vine[MAX_N], prim[MAX_N];
double c[MAX_N];
void get_primes() {
for (int i = 2; i <= m; i++) {
int ok = 1;
for (int j = 2; j < i; j++)
if (i % j == 0) {
ok = 0;
break;
}
if (ok)
prim[++prim[0]] = i;
}
}
void write(int x) {
if (x == 0) {
printf("\n");
return;
}
printf("%d ", (x - vine[x]) * cmmdc);
write(vine[x]);
}
int main() {
freopen("nummst.in", "r", stdin);
freopen("nummst.out", "w", stdout);
scanf("%d", &n);
for (int i = 2; i <= n; i++)
if (n % i == 0) {
cmmdc = n / i;
m = i;
break;
}
get_primes();
for (int i = 0; i <= m; i++)
vine[i] = i - 1;
for (int i = 1; i <= prim[0]; i++)
for (int val = prim[i]; val <= m; val *= prim[i])
for (int j = m; j >= 1; j--) {
if (val <= j && c[j] < c[j - val] + log(val) && !(j == m && j - val == 0)) {
c[j] = c[j - val] + log(val);
vine[j] = j - val;
}
}
write(m);
return 0;
}