이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;
const int N = 1'000'010;
int con_l[N], con_r[N];
int par[N];
int sz[N];
int n;
struct con_cmp {
bool operator()(int i, int j)
{
return con_r[i] > con_r[j];
}
};
typedef priority_queue<int, vector<int>, con_cmp> con_heap;
con_heap nodes[N][2];
void merge(int v, int u, bool parity)
{
if (nodes[v][0].size() < nodes[u][parity].size())
nodes[v][0].swap(nodes[u][parity]);
for (int x : *(vector<int> *)&nodes[u][parity])
nodes[v][0].push(x);
{ con_heap tmp; tmp.swap(nodes[u][parity]); }
// ------------- //
if (nodes[v][1].size() < nodes[u][!parity].size())
nodes[v][1].swap(nodes[u][!parity]);
for (int x : *(vector<int> *)&nodes[u][!parity])
nodes[v][1].push(x);
{ con_heap tmp; tmp.swap(nodes[u][!parity]); }
}
bool set_root(int &v)
{
bool ans = 0;
while (par[v] != -1) {
v = par[v];
ans ^= 1;
}
return ans;
}
int unite(int v, int u, bool parity)
{
parity ^= set_root(v);
parity ^= set_root(u);
if (sz[v] < sz[u])
swap(v, u);
par[u] = v;
sz[v] += sz[u];
merge(v, u, parity);
return v;
}
struct com_cmp {
bool operator()(int i, int j)
{
int x0 = nodes[i][0].size()? con_r[nodes[i][0].top()]: 2*N;
int x1 = nodes[i][1].size()? con_r[nodes[i][1].top()]: 2*N;
int y0 = nodes[j][0].size()? con_r[nodes[j][0].top()]: 2*N;
int y1 = nodes[j][1].size()? con_r[nodes[j][1].top()]: 2*N;
int x = min(x0, x1);
int y = min(y0, y1);
return x > y || (x == y && i > j);
}
};
priority_queue<int, vector<int>, com_cmp> coms;
int solve()
{
Loop (i,0,n) {
nodes[i][0].push(i);
int l = con_l[i], r = con_r[i];
int waiting_com = i;
for (;;) {
if (!coms.size())
break;
int com = coms.top();
bool pre_even = nodes[com][0].size()
&& con_r[nodes[com][0].top()] < r;
bool pre_odd = nodes[com][1].size()
&& con_r[nodes[com][1].top()] < r;
if (!pre_even && !pre_odd)
break;
coms.pop();
while ( nodes[com][0].size()
&& con_r[nodes[com][0].top()] < l) {
nodes[com][0].pop();
}
while ( nodes[com][1].size()
&& con_r[nodes[com][1].top()] < l) {
nodes[com][1].pop();
}
bool even = nodes[com][0].size()
&& con_r[nodes[com][0].top()] < r;
bool odd = nodes[com][1].size()
&& con_r[nodes[com][1].top()] < r;
if (even && odd) {
cout << "0\n";
exit(0);
} else if (even) {
waiting_com = unite(waiting_com, com, 1);
} else if (odd) {
waiting_com = unite(waiting_com, com, 0);
} else {
coms.push(com);
}
}
coms.push(waiting_com);
}
return coms.size();
}
int main()
{
cin.tie(0) -> sync_with_stdio(false);
cin >> n;
vector<pii> vec;
Loop (i,0,n) {
int x, y;
cin >> x >> y;
vec.push_back({x, y});
}
sort(vec.begin(), vec.end());
Loop (i,0,n)
tie(con_l[i], con_r[i]) = vec[i];
memset(par, -1, sizeof(par));
int ans = solve();
int p2ans = 1;
while (ans--)
p2ans = p2ans*2 % 1'000'000'007;
cout << p2ans << '\n';
}
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