This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cstdio>
#include <vector>
#include <set>
#include <map>
#define ll long long
const ll M = 1000000007;
struct line{
ll n1, n2, p;
};
line lines[100001];
std::map<ll, line *> list;
ll find(ll i) {
if (i == lines[i].p) return i;
else {
lines[i].p = find(lines[i].p);
return lines[i].p;
}
}
ll merge(ll i, ll j) {
ll f1 = find(i), f2 = find(j);
if (f1 == f2) return 0;
lines[f1].p = lines[f2].p;
return 0;
}
ll pow1(ll n, ll b) {
if (b == 0) {
return 1;
}
ll temp = pow1(n % M, b / 2) % M;
if (b % 2 == 1) {
return temp*temp%M*(n%M) % M;
}
return temp*temp%M;
}
int main(void) {
ll n, k;
scanf("%lld%lld", &n, &k);
for (ll i = 0; i < k; i++) {
lines[i].p = i;
scanf("%lld %lld", &lines[i].n1, &lines[i].n2);
auto f1 = list.find(lines[i].n1);
auto f2 = list.find(lines[i].n2);
if (f1 != list.end())
merge(i, f1->second->p);
else
{
list.insert({ lines[i].n1, &lines[i] });
n--;
}
if (f2 != list.end())
merge(i, f2->second->p);
else
{
list.insert({ lines[i].n2, &lines[i] });
n--;
}
}
std::set<ll> tot;
for (ll i = 0; i < k; i++) {
tot.insert(find(lines[i].p));
}
n += tot.size();
printf("%lld", pow1(2, n) % M);
}
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