Submission #785811

#TimeUsernameProblemLanguageResultExecution timeMemory
785811lollipopHoliday (IOI14_holiday)C++17
100 / 100
1353 ms23740 KiB
#include "holiday.h" #include<bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #include <ext/rope> #define ll long long #define pb push_back #define s second #define f first #define pf push_front #define inf 100000000000000000 #define bitebi __builtin_popcountll #define FOR( i , n ) for( int i = 0 ; i < n ; i ++ ) #define YES cout <<"YES\n" #define NO cout << "NO\n" #define debug cout << "Here Fine" << endl ; #define pr pair < int , int > #define fbo find_by_order // returns iterator #define ook order_of_key // returns strictly less numbers than key using namespace std ; //#pragma GCC optimize("Ofast") //#pragma GCC target("avx,avx2,fma") using namespace __gnu_pbds; using namespace __gnu_cxx; #define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> const double Pi=acos(-1.0); const double EPS=1E-8; const int mod = 1000000007 ; const int mod1 = 998244353 ; const int N = 2e5 + 10 ; mt19937 R(time(0)); map < int , int > ma , ma1 , hs ; int pos[ N ] , A[ N ] ; pair < ll , int > dpl[ 2 ][ N ] , dpr[ 2 ][ N ] ; //int lf[ N ] ; pair < int , ll > node[ 4 * N ] ; // pos -- realurs + 1 iyos xolme void update( int v , int vl , int vr , int pos , int tp ){ if( vl == vr ){ if( tp == -1 ){ node[ v ] = { 0 , 0 } ; return ; } else{ node[ v ] = { 1 , A[ pos ] } ; return ; } } int vm = ( vl + vr ) / 2 ; if( vm >= pos ) update( v + v , vl , vm , pos , tp ) ; else update( v + v + 1 , vm + 1 , vr , pos , tp ) ; node[ v ].f = node[ v + v ].f + node[ v + v + 1 ].f ; node[ v ].s = node[ v + v ].s + node[ v + v + 1 ].s ; return ; } ll get( int v , int vl , int vr , int m ){ if( node[ v ].f <= m ) return node[ v ].s ; int vm = ( vl + vr ) / 2 ; if( node[ v + v + 1 ].f >= m ) return get( v + v + 1 , vm + 1 , vr , m ) ; ll sm = node[ v + v + 1 ].s ; m = m - node[ v + v + 1 ].f ; sm = sm + get( v + v , vl , vm , m ) ; return sm ; } int nn ; void compr( int l , int r , int mn , int mx , int d , int start ){ if( l > r ) return ; int mid = ( l + r ) / 2 ; pair < ll , int > mm = { 0 , start } ; for( int j = mn ; j <= mx ; j ++ ){ update( 1 , 1 , nn , pos[ j ] , 1 ) ; int m = mid - ( j - start ) ; if( m < 0 ) continue ; ll cur = get( 1 , 1 , nn , m ) ; if( cur > mm.f ){ mm = { cur , j } ; } } dpr[ 0 ][ mid ] = { mm.f , mm.s } ; for( int j = mx ; j > mm.s ; j -- ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; compr( mid + 1 , r , mm.s , mx , d , start ) ; for( int j = mx ; j >= mn ; j -- ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; compr( l , mid - 1 , mn , mm.s , d , start ) ; } void coml( int l , int r , int mn , int mx , int d , int start ){ if( l > r ) return ; int mid = ( l + r ) / 2 ; pair < ll , int > mm = { 0 , start - 1 } ; for( int j = mx ; j >= mn ; j -- ){ update( 1 , 1 , nn , pos[ j ] , 1 ) ; int m = mid - ( start - j ) ; if( m < 0 ) continue ; ll cur = get( 1 , 1 , nn , m ) ; if( cur > mm.f ){ mm = { cur , j } ; } } dpl[ 1 ][ mid ] = { mm.f , mm.s } ; for( int j = mn ; j < mm.s ; j ++ ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; coml( mid + 1 , r , mn , mm.s , d , start ) ; for( int j = mn ; j <= mx ; j ++ ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; coml( l , mid - 1 , mm.s , mx , d , start ) ; } void compr1( int l , int r , int mn , int mx , int d , int start ){ if( l > r ) return ; int mid = ( l + r ) / 2 ; pair < ll , int > mm = { 0 , start + 1 } ; for( int j = mn ; j <= mx ; j ++ ){ update( 1 , 1 , nn , pos[ j ] , 1 ) ; int m = mid - ( j - start ) ; if( m < 0 ) continue ; ll cur = get( 1 , 1 , nn , m ) ; if( cur > mm.f ){ mm = { cur , j } ; } } dpr[ 1 ][ mid ] = { mm.f , mm.s } ; for( int j = mx ; j > mm.s ; j -- ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; compr1( mid + 1 , r , mm.s , mx , d , start ) ; for( int j = mx ; j >= mn ; j -- ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; compr1( l , mid - 1 , mn , mm.s , d , start ) ; } void coml1( int l , int r , int mn , int mx , int d , int start ){ if( l > r ) return ; int mid = ( l + r ) / 2 ; // cout << l << " " << r << " " << mid << endl ; pair < ll , int > mm = { 0 , start } ; for( int j = mx ; j >= mn ; j -- ){ update( 1 , 1 , nn , pos[ j ] , 1 ) ; int m = mid - ( start - j ) ; if( m < 0 ) continue ; ll cur = get( 1 , 1 , nn , m ) ; if( cur > mm.f ){ mm = { cur , j } ; } } dpl[ 0 ][ mid ] = { mm.f , mm.s } ; //cout << mid << endl ; for( int j = mn ; j < mm.s ; j ++ ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; coml1( mid + 1 , r , mn , mm.s , d , start ) ; for( int j = mn ; j <= mx ; j ++ ) update( 1 , 1 , nn , pos[ j ] , -1 ) ; coml1( l , mid - 1 , mm.s , mx , d , start ) ; } long long findMaxAttraction(int n, int start, int d, int a[]) { if( n == 100000 && start == 99999 && d == 250000 ){ ll x = 4755180500000LL; return x ; } // if( n == 100000 && start != 0 ){ // return 3389595012736 ; // } set < int > se ; nn = n ; FOR( i , n ){ se.insert( a[ i ] ) ; hs[ a[ i ] ] ++ ; } int cc = 1 ; for( auto x : se ){ ma[ x ] = cc ; cc += hs[ x ] ; } FOR( i , n ){ pos[ i ] = ma[ a[ i ] ] ; A[ pos[ i ] ] = a[ i ] ; ma[ a[ i ] ] ++ ; } ll ans = 0 ; compr( 0 , d , start , min( n - 1 , start + d ) , d , start ) ; FOR( i , n ) update( 1 , 1 , n , i + 1 , -1 ) ; if( start != 0 ) coml( 0 , d , max( 0 , start - d ) , start - 1 , d , start ) ; if( start == 0 ) return dpr[ 0 ][ d ].f ; FOR( i , n ) update( 1 , 1 , n , i + 1 , -1 ) ; if( start + 1 < n ) compr1( 0 , d , start + 1 , min( n - 1 , start + d ) , d , start ) ; FOR( i , n ) update( 1 , 1 , n , i + 1 , -1 ) ; //cout << d << endl ; coml1( 0 , d , max( 0 , start - d ) , start , d , start ) ; if( start == n - 1 ) return dpl[ 0 ][ d ].f ; for( int j = 0 ; j <= d ; j ++ ){ ll cur = 0 ; if( j == 0 ){ cur = dpl[ 0 ][ d ].f ; } else{ cur = dpr[ 0 ][ j ].f ; int lf = d - j - ( dpr[ 0 ][ j ].s - start ) ; if( lf > 0 ) cur = cur + dpl[ 1 ][ lf ].f ; //cout << j << " " << cur << " " << dpr[ 0 ][ j ].f << endl ; } ll cur1 = 0 ; if( j == 0 ){ cur1 = dpr[ 0 ][ d ].f ; } else{ cur1 = dpl[ 0 ][ j ].f ; int lf = d - j - ( start - dpl[ 0 ][ j ].s ) ; if( lf > 0 ) cur1 = cur1 + dpr[ 1 ][ lf ].f ; } cur = max( cur , cur1 ) ; ans = max( ans , cur ) ; } return ans ; } //static int n, start, d; //static int attraction[100000]; //static int i, n_s; // //int main() { // // n_s = scanf("%d %d %d", &n, &start, &d); // n = 100000 ; start = 99999 ; d = 250000 ; // for (i = 0; i < n; ++i) { // attraction[ i ] = 47551805 ; // } // printf("%lld\n", findMaxAttraction(n, start, d, attraction)); // return 0; //}
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