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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const int MOD = (int)1e9 + 7;
const int MAXN = (int)2e6 + 3;
const int infint = (int)2e9;
const ll inf = (ll)2e18;
int a[MAXN], b[MAXN], id[MAXN], n, par[MAXN], sz;
int get(int u)
{
return par[u] < 0 ? u : par[u] = get(par[u]);
}
void merge(int u, int v)
{
if((u = get(u)) == (v = get(v)))
return;
sz--;
if(par[u] > par[v])
swap(u, v);
par[u] += par[v];
par[v] = u;
}
vector<int> seg[4 * MAXN];
bool cyc;
bool cmp(int u, int v)
{
return a[u] < a[v];
}
void add(int node, int st, int en, int idx, int val)
{
for (auto u : seg[node])
merge(u, val);
seg[node].clear();
if(en - st < 2)
return;
int mid = (st + en) >> 1;
if(idx < mid)
add(node << 1, st, mid, idx, val);
else
add(node << 1 | 1, mid, en, idx, val);
return;
}
void ask(int node, int st, int en, int l, int r, int val)
{
if(l >= en || st >= r)
return;
if(l <= st && en <= r)
{
seg[node].push_back(val);
return;
}
int mid = (st + en) >> 1;
ask(node << 1, st, mid, l, r, val);
ask(node << 1 | 1, mid, en, l, r, val);
return;
}
int pwr(int a, int b)
{
if(b == 0)
return 1;
int c = pwr(a, b >> 1);
c = 1LL * c * c % MOD;
if(b & 1)
c = 1LL * c * a % MOD;
return c;
}
map<int, int> pos;
int main()
{
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n;
sz = n;
for (int i = 0; i < n; i++)
cin >> a[i] >> b[i];
memset(par, -1, sizeof par);
for (int i = 0; i < n; i++)
id[i] = i, a[i]--, b[i]--;
sort(id, id + n, cmp);
//check if there's odd cycle
for (int i = 0; i < n; i++)
{
auto st = pos.lower_bound(a[id[i]]), ft = pos.lower_bound(b[id[i]]);
while(st != ft)
{
merge(id[i], st -> second + n);
merge(id[i] + n, st -> second);
if(get(st -> second) == get((--ft) -> second))
break;
ft++;
st++;
}
pos[b[id[i]]] = i;
}
for (int i = 0; i < n; i++)
if(get(i) == get(i + n))
return cout << 0, 0;
sz = n;
memset(par, -1, sizeof par);
for (int i = n - 1; i >= 0; i--)
{
add(1, 0, 2 * n, b[id[i]], id[i]);
ask(1, 0, 2 * n, a[id[i]], b[id[i]] + 1, id[i]);
}
cout << pwr(2, sz);
}
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