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;
#define pb push_back
#define fi first
#define se second
#define for1(i,j,k) for(int i=j;i<=k;i++)
#define for2(i,j,k) for(int i=j;i>=k;i--)
#define for3(i,j,k,l) for(int i=j;i<=k;i+=l)
#define all(x) x.begin(),x.end()
//#define int long long
typedef long long ll;
typedef pair<int,int> pii;
const ll maxn=1e6+5;
const ll offset=2e5;
const ll inf=1e18;
const int base=550;
const ll mod=1e9+7;
int n,m;
pii a[maxn];
int par[maxn];
bool col[maxn];
vector<int> st[maxn*8];
int pt[maxn*8];
pii Find(int u)
{
int c=0;
while (par[u]>0)
{
c^=col[u];
u=par[u];
}
c^=col[u];
return {u,c};
}
bool Union(int u,int v,bool same)
{
// cerr<< "Merge "<<u<<' '<<v<<' '<<same<<'\n';
pii x=Find(u),y=Find(v);
u=x.fi;
v=y.fi;
int cu=x.se,cv=y.se;
// cerr<< u<<' '<<v<<''<<'\n';
if (u==v) return same^(cu!=cv);
if (par[u]>par[v]) swap(u,v);
par[u]+=par[v];
par[v]=u;
col[v]=same^(cu==cv);
return 1;
}
void Update(int u,int val,int id=1,int l=1,int r=2*n)
{
st[id].pb(val);
if (l==r) return;
int mid=l+r>>1;
if (u<=mid) Update(u,val,id*2,l,mid);
else Update(u,val,id*2+1,mid+1,r);
}
void Edge(int u,int v,int val,int id=1,int l=1,int r=2*n)
{
if (st[id].empty()||u>r || v<l) return;
if (u<=l && r<=v)
{
// cerr<< st[id].size()<<" zzz\n";
while (pt[id]<st[id].size())
{
if (pt[id]!=0) if (!Union(st[id][pt[id]-1],st[id][pt[id]],1))
{
cout << "0";
exit(0);
}
pt[id]++;
}
if (!Union(val,st[id].back(),0))
{
cout << "0";
exit(0);
}
return;
}
int mid=l+r>>1;
Edge(u,v,val,id*2,l,mid);
Edge(u,v,val,id*2+1,mid+1,r);
}
void sol()
{
cin >> n;
for1(i,1,n)
{
par[i]=-1;
cin >> a[i].fi>> a[i].se;
}
sort(a+1,a+1+n,[](pii x,pii y)
{
return x.se>y.se;
});
for1(i,1,n)
{
// cerr<<i<<' '<<a[i].fi<<' '<<a[i].se<<'\n';
Edge(a[i].fi,a[i].se,i);
Update(a[i].fi,i);
}
int res=1;
for1(i,1,n)
{
if (par[i]<0) res=res*2%mod;
}
cout << res;
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#define task "acll"
// freopen(task".inp","r",stdin);
// freopen(task".out","w",stdout);
int t=1;//cin >> t;
while (t--) {
sol();
}
}
/*
10 2 0
2 1 4 3 5 6 8 7 10 9
1
2 5 8
6 1 12
2 1 3 4 5 6
6
1 1 4
1 2 6
2 1 2
2 1 3
2 1 5
2 1 6
*/
Compilation message (stderr)
port_facility.cpp: In function 'void Update(int, int, int, int, int)':
port_facility.cpp:57:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
57 | int mid=l+r>>1;
| ~^~
port_facility.cpp: In function 'void Edge(int, int, int, int, int, int)':
port_facility.cpp:67:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
67 | while (pt[id]<st[id].size())
| ~~~~~~^~~~~~~~~~~~~~
port_facility.cpp:83:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
83 | int mid=l+r>>1;
| ~^~
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