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>
using namespace std ;
typedef long long ll ;
typedef unsigned long long ull ;
#define fi first
#define se second
// mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int MAXN = 1e6 + 7 ;
const int MOD = 1e9 + 7 ;
int n ;
pair < int , int > a[ MAXN ] ;
int prv[ MAXN ] , rnk[ MAXN ] ;
int get ( int x ) {
if ( prv[ x ] == -1 ) { return x ; }
int y = get ( prv[ x ] ) ;
prv[ x ] = y ;
return y ;
}
void unite ( int x , int y ) {
int k1 = get ( x ) , k2 = get ( y ) ;
if ( k1 != k2 ) {
if ( rnk[ k1 ] >= rnk[ k2 ] ) {
rnk[ k1 ] += ( rnk[ k1 ] == rnk[ k2 ] ) ;
prv[ k2 ] = k1 ;
}
else {
prv[ k1 ] = k2 ;
}
}
}
int mx_prv[ MAXN ] , mn_nxt[ MAXN ] ;
int srt[ MAXN ] ;
void solve ( ) {
cin >> n ;
for ( int i = 1 ; i <= n ; ++ i ) {
cin >> a[ i ].fi >> a[ i ].se ;
prv[ i ] = -1 , rnk[ i ] = 0 ;
mx_prv[ i ] = -1 ;
mn_nxt[ i ] = 4 * MAXN ;
}
sort ( a + 1 , a + n + 1 ) ;
set < pair < int , int > > s ;
for ( int i = 1 ; i <= n ; ++ i ) {
auto it = s.lower_bound ( { a[ i ].fi , 0 } ) ;
if ( it != s.end ( ) && it->fi < a[ i ].se ) {
unite ( i , it->se ) ;
}
it = s.lower_bound ( { a[ i ].se , 0 } ) ;
if ( it != s.begin ( ) ) {
-- it ;
if ( a[ i ].fi < it->fi ) {
mx_prv[ i ] = max ( mx_prv[ i ] , it->fi ) ;
}
}
s.insert ( { a[ i ].se , i } ) ;
}
s.clear ( ) ;
for ( int i = 1 ; i <= n ; ++ i ) {
srt[ i ] = i ;
}
auto cmp = [ & ] ( int x , int y ) {
return ( a[ x ].se < a[ y ].se ) ;
};
sort ( srt + 1 , srt + n + 1 , cmp ) ;
for ( int wh = n ; wh >= 1 ; -- wh ) {
int i = srt[ wh ] ;
auto it = s.lower_bound ( { a[ i ].fi , 0 } ) ;
if ( it != s.end ( ) && it->fi < a[ i ].se ) {
mn_nxt[ i ] = min ( mn_nxt[ i ] , it->fi ) ;
unite ( i , it->se ) ;
}
s.insert ( { a[ i ].fi , i } ) ;
}
for ( int i = 1 ; i <= n ; ++ i ) {
if ( mn_nxt[ i ] < mx_prv[ i ] ) {
cout << "0\n" ;
return ;
}
}
ll ans = 1 ;
for ( int i = 1 ; i <= n ; ++ i ) {
if ( get ( i ) == i ) {
ans = ( ans * 2 ) % MOD ;
}
}
cout << ans << "\n" ;
}
int main ( ) {
ios_base :: sync_with_stdio ( false ) ;
cin.tie ( NULL ) ;
int t = 1 ; // cin >> t ;
while ( t -- ) { solve ( ) ; }
return 0 ;
}
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