Mai intai trebuie sa te autentifici.
Cod sursa(job #1504979)
Utilizator | Data | 18 octombrie 2015 16:58:15 | |
---|---|---|---|
Problema | Ecuatie | Scor | 10 |
Compilator | cpp | Status | done |
Runda | Arhiva de probleme | Marime | 2.46 kb |
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#define ll long long
#define maxN 100002
using namespace std;
int k, i, j;
ll x1, x2, delta, a, b, c, sol;
ll p1, p2, q1, q2, rd;
struct ec
{
ll x;
ll y;
ll z;
ll t;
} v[maxN];
int cmp(const ec a, const ec b)
{
if (a.x == b.x)
return -a.z < -b.z;
return a.x < b.x;
}
void read()
{
int rd;
freopen("ecuatie.in", "r", stdin);
scanf("%lld %lld %lld %lld", &a, &b, &c, &k);
}
void write(int sol)
{
freopen("ecuatie.out", "w", stdout);
if (sol == -1)
printf("%d", sol);
else
{
sort(v + 1, v + sol + 1, cmp);
printf("(");
if (v[k].x == -1)
printf("-");
if (abs(v[k].x) == 1)
printf("x");
else
printf("%lldx", v[k].x);
if (v[k].z > 0)
printf("-");
else
printf("+");
printf("%lld)", abs(v[k].z));
printf("(");
if (v[k].y == -1)
printf("-");
if (abs(v[k].y) == 1)
printf("x");
else
printf("%lldx", v[k].y);
if (v[k].t > 0)
printf("-");
else
printf("+");
printf("%lld)", abs(v[k].t));
}
}
void ecu(int p1, int p2)
{
if (((-b + rd) * p1) % (2 * a) == 0 && ((-b - rd) * p2) % (2 * a) == 0)
{
q1 = ((-b + rd) * p1) / (2 * a);
q2 = ((-b - rd) * p2) / (2 * a);
v[++ sol].x = p1;
v[sol].y = p2;
v[sol].z = q1;
v[sol].t = q2;
}
if (((-b + rd) * p2) % (2 * a) == 0 && ((-b - rd) * p1) % (2 * a) == 0)
{
q1 = ((-b + rd) * p2) / (2 * a);
q2 = ((-b - rd) * p1) / (2 * a);
{
v[++ sol].x = p1;
v[sol].y = p2;
v[sol].z = q2;
v[sol].t = q1;
}
}
}
void solve()
{
delta = b * b - 4 * a * c;
rd = ((int)(sqrt(delta)));
if (rd * rd != delta)
{
write(-1);
exit(0);
}
/*x1 = (-b + rd) / (2 * a);
x2 = (-b - rd) / (2 * a);*/
for (p1 = 1; p1 * p1 <= a; ++ p1)
if (!(a % p1))
{
p2 = a / p1;
ecu(p1, p2);
ecu(-p1, -p2);
if (p1 != p2)
{
ecu(p2, p1);
ecu(-p2, -p1);
}
}
}
int main()
{
read();
solve();
write(sol);
}