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>
#define debug printf
#define all(x) x.begin(),x.end()
#define sz(x) (int)(x.size() )
#define ll long long
const int MAX = 2e6+10 ;
const int MOD = 1e9+7 ;
using namespace std ;
char c ;
void read(int &num )
{
num = 0 ;
for( c = getchar() ; ( c > 47 && c < 58 ) ; c = getchar() )
num = num*10 + c - 48 ;
}
struct Bit
{
int bit[MAX] ;
void upd(int i ) { for(; i < MAX ; i += i &-i ) bit[i]++ ; }
int qry(int i )
{
int tot = 0 ;
for(; i > 0 ; i -= i &-i ) tot += bit[i] ;
return tot ;
}
} bit[2] ;
int m(int l, int r ) { return (l+r)>>1 ; }
int N ;
int L[MAX] , R[MAX] ;
int color[MAX] , ptr[MAX] ;
vector<int> fila ;
vector<int> byEnd[MAX*4] , byBeginning[MAX*4] ;
int ptrEnd[MAX*4] , ptrBeginning[MAX*4] ;
void makeInsertion( int pos, int l, int r, int x, int id , bool isEnd )
{
if(isEnd) byEnd[pos].push_back( id ) , ptrEnd[ pos ]++ ;
else byBeginning[pos].push_back(id) , ptrBeginning[pos]++ ;
if( l == r) return ;
if( x <= m(l,r) ) makeInsertion(pos<<1 , l , m(l,r) , x , id , isEnd ) ;
else makeInsertion( pos<<1|1 , m(l,r)+1, r, x, id, isEnd ) ;
}
void walk(int pos, int l, int r, int id )
{
if( l > R[id] || r < L[id] ) return ;
if( l >= L[id] && r <= R[id] )
{
vector<int> &aux1 = byBeginning[pos] ;
while( ptrBeginning[pos]-1 >= 0 && L[ aux1[ ptrBeginning[pos]-1 ] ] < L[id] )
{
int x = aux1[ ptrBeginning[pos]-1 ] ;
ptrBeginning[pos]-- ;
if( color[ x ] == -1 )
{
fila.push_back( x );
color[x] = !color[id] ;
}
}
vector<int> &aux2 = byEnd[pos] ;
while( ptrEnd[pos]-1 >= 0 && R[ aux2[ ptrEnd[pos]-1 ] ] > R[id] )
{
int x = aux2[ ptrEnd[pos]-1 ] ;
ptrEnd[pos]-- ;
if( color[x] == -1 )
{
fila.push_back(x) ;
color[x] = !color[id] ;
}
}
return ;
}
walk(pos<<1 , l , m(l,r) , id ) ;
walk(pos<<1|1 , m(l,r) + 1 , r , id ) ;
}
int main()
{
read(N) ;
for(int i=1 ; i <= N ; i++ ) read(L[i]), read(R[i] ) ;
//By beginning
vector<int> toSort(N) ; iota(all(toSort), 1) ;
sort( all(toSort) , [&](int i, int j) { return L[i] > L[j] ; } ) ;
for(int i = 0 ; i < N ; i++ ) makeInsertion(1,1,2*N, R[ toSort[i] ], toSort[i], false ) ;
//By end
sort(all(toSort), [&](int i, int j) { return R[i] < R[j] ; } ) ;
for(int i = 0 ; i < N ; i++ ) makeInsertion(1, 1, 2*N, L[ toSort[i] ], toSort[i] , true ) ;
for(int i = 1 ; i <= N ; i++ ) color[i] = -1 ;
int ans = 1 ;
for(int i = 1 ; i <= N ; i++ )
{
if( color[i] != -1 ) continue ;
ans <<= 1 ;
if(ans >= MOD ) ans -= MOD ;
fila.clear() ;
fila.push_back(i) ;
color[i] = 0 ;
int ini = 0 ;
while( ini < sz(fila) )
{
int x = fila[ini++] ;
walk(1,1,2*N, x ) ;
}
}
sort( all(toSort) , [&](int i, int j ) { return L[i] < L[j] ; } ) ;
for(int i : toSort )
{
if( bit[color[i]].qry( R[i] ) - bit[color[i]].qry(L[i]) )
{
printf("0\n" ) ;
return 0 ;
}
bit[ color[i] ].upd( R[i] ) ;
}
printf("%d\n", ans ) ;
}
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