oj.uz

Submission #308704

# Submission time Handle Problem Language Result Execution time Memory
308704 2020-10-01T17:35:59 Z CaroLinda Comparing Plants (IOI20_plants) C++14
32 / 100
 4000 ms 77432 KB 
#include "plants.h"
#include <bits/stdc++.h>

#define sz(x) (int)(x.size())
#define debug printf
#define lp(i,a,b) for(int i = a ; i < b; i++)
#define pb push_back
#define ff first
#define ss second
#define mk make_pair
#define pii pair<int,int>
#define ll long long 
#define all(x) x.begin(),x.end()

const int MAX = 2e5+10 ;
const int LOG = 20 ;
const int inf = 1e8+10 ;

using namespace std ;

struct Seg
{

	ll lz[MAX*4] , mn[MAX*4];
	int idx[MAX*4] ;

	void clean()
	{
		memset(lz, 0, sizeof lz) ;
		memset(mn, 0, sizeof mn) ;
	}

	int m(int l, int r) { return (l+r)>>1 ; }
	void refresh(int pos, int l, int r)
	{
		if(!lz[pos]) return ;

		mn[pos] += lz[pos] ;

		if(l == r) return (void)(lz[pos] = 0 ) ;

		lz[pos<<1] += lz[pos] ;
		lz[pos<<1|1] += lz[pos] ;

		lz[pos] = 0 ;

	}

	void upd(int pos, int l, int r, int beg, int en , int val )
	{
		refresh(pos,l,r) ;

		if(l > en || r < beg ) return ;
		if(l >= beg && r <= en)
		{
			lz[pos] += (ll)val ;
			refresh(pos,l,r) ;
			if(l == r) idx[pos] = l ;
			return ;
		}

		upd(pos<<1 , l, m(l,r) , beg, en, val ) ;
		upd(pos<<1|1 , m(l,r)+1,r, beg, en, val ) ;

		if(mn[pos<<1] <= mn[pos<<1|1])
		{
			idx[pos] = idx[pos<<1] ;
			mn[pos] = mn[pos<<1] ;
		}
		else 
		{
			idx[pos] = idx[pos<<1|1] ;
			mn[pos] = mn[pos<<1|1] ;
		}

	}

	pii qry(int pos, int l, int r, int beg, int en )
	{
		refresh(pos,l,r) ;
		if( l > en || r < beg ) return mk(inf, -1) ;
		if(l >= beg && r <= en) return mk( mn[pos] , idx[pos] ) ;

		pii al = qry(pos<<1 , l, m(l,r) , beg, en ) ;
		pii ar = qry(pos<<1|1 , m(l,r)+1,r, beg, en ) ;

		if( al.ff <= ar.ff ) return al ;
		return ar ;
	}

} seg ;

int n , last , k ;
int dp[2][LOG][MAX] ;
vector<int> h , lef , rig ;
vector<pii> intervalLeft[MAX] , intervalRight[MAX] ;

void extract(int x)
{
	while(true)
	{
	
		pii p = mk(inf, -1) ;
		
		for(auto e : intervalLeft[x] ) 
			p = min(p, seg.qry(1,0,n-1, e.ff, e.ss) ) ;

		if(p.ff == 0) 
		{
			extract(p.ss) ;
			continue ;
		}

		h[x] = last-- ;
		
		seg.upd(1,0,n-1, x , x , inf ) ;
		for(auto e : intervalLeft[x] ) seg.upd(1,0,n-1, e.ff, e.ss, -1) ;

		return ;

	}

}

void init(int K, vector<int> r) 
{
	k = K ;
	n = sz(r) ;
	h.resize(n,0) ;
	last = n ;

	//Find intervals
	intervalLeft[0].push_back( mk(n-k+1,n-1) ) ;
	lp(i,1,n)
	{
		intervalLeft[i].push_back( mk(max(0,i-k+1) , i-1) ) ;

		if( i >= k-1 ) continue ;
		
		int falta = k-1 - i ;
		intervalLeft[i].pb( mk( n-falta , n-1 ) ) ;

	}
	intervalRight[n-1].pb( mk( 0 , k-2 ) ) ;
	lp(i,0,n-1)
	{
		intervalRight[i].pb( mk( i+1, min(n-1, i+k-1) ) ) ;

		if( i+k-1 <= n-1 ) continue ;

		int lef = k-1 - (n-i-1) ;
		intervalRight[i].pb(  mk(0,lef-1)) ;

	}

	for(int i = 0 ; i < n ; i++ ) 
		seg.upd(1,0,n-1, i , i , r[i] ); 

	while(true)
	{
		pii p = seg.qry(1,0,n-1,0,n-1) ;

		if(p.ff != 0) break ;

		extract(p.ss) ;

	}

	if(2*k > n ) return ;

	seg.clean() ;

	vector<int> idx(n) ;
	iota(all(idx) , 0 ) ;
	sort(all(idx), [&](int i, int j){ return h[i] < h[j]; }  ) ;

	memset(dp, -1, sizeof dp ) ;

	for(auto e : idx )
	{
		pii p = mk(0 , -1 ) ;
		for(auto e : intervalLeft[e] )
			p = min(p , seg.qry(1,0,n-1, e.ff, e.ss) ) ;

		dp[0][0][e] = p.ss ;

		p = mk(0, -1 ) ;
		for(auto e : intervalRight[e] ) 
			p = min(p, seg.qry(1,0,n-1, e.ff, e.ss) ) ;

		dp[1][0][e] = p.ss ;

		seg.upd(1,0,n-1,e,e, -h[e] ) ;

	}

	lp(i,0,2)
		lp(j,1,LOG)
			lp(g,0,n)
			{
				if(dp[i][j-1][g] == -1) continue ;
				dp[i][j][g] = dp[i][j-1][ dp[i][j-1][g] ] ;
			}

}

bool isOn(int m, int i) { return ((1<<i)&m) != 0 ; }

int getDist( bool clockwise , int a, int b )
{
	if(!clockwise)
	{
		if(b < a) return a - b ;
		return a + n - b ;
	}

	if( b > a ) return b-a ;
	return n-a+b ;
}

int compare_plants(int x, int y) 
{
	if( 2*k > n || getDist(false, x, y) < k || getDist(true, x, y) < k)
		return h[x] > h[y] ? 1 : -1 ;

	int maior = -1 ;

	for(int cur : {x,y} )
	for(int type = 0 ; type < 2 ; type++ )
	{
		int l = 0 , r = n , mid ;

		while(l <= r)
		{
			mid=(l+r)>>1 ;

			int filho = cur ;
			for(int i = 0 ; i < LOG ; i++ )
				if( isOn(mid , i) && filho != -1 ) filho = dp[type][i][filho] ;

			if( filho == -1 ) 
			{
				r = mid-1 ;
				continue ;
			}

			int other = (cur == x) ? y : x ;

			int distToCur = getDist(type, filho, cur) ;
			int distToOther = getDist(type, filho, other) ;

			if(distToOther < k)
			{
				if( h[other] <= h[filho] ) maior = cur ;
				break ;
			}

			if(distToOther < distToCur ) l = mid+1 ;
			else r = mid-1 ;

		}

	}

	if(maior == x ) return 1 ;
	if(maior == y) return -1 ;
	return 0 ;

}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 8 ms 9856 KB Output is correct
3 Correct 33 ms 53504 KB Output is correct
4 Correct 34 ms 53504 KB Output is correct
5 Correct 33 ms 53496 KB Output is correct
6 Correct 139 ms 56432 KB Output is correct
7 Correct 525 ms 58236 KB Output is correct
8 Correct 1117 ms 73720 KB Output is correct
9 Correct 1473 ms 73720 KB Output is correct
10 Correct 1879 ms 73680 KB Output is correct
11 Correct 2253 ms 73592 KB Output is correct
12 Correct 2603 ms 73720 KB Output is correct
13 Correct 2916 ms 73720 KB Output is correct
14 Correct 3000 ms 73592 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 10 ms 9856 KB Output is correct
7 Correct 95 ms 13304 KB Output is correct
8 Correct 9 ms 9856 KB Output is correct
9 Correct 11 ms 9984 KB Output is correct
10 Correct 90 ms 13304 KB Output is correct
11 Correct 89 ms 13176 KB Output is correct
12 Correct 84 ms 13432 KB Output is correct
13 Correct 90 ms 13304 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 10 ms 9856 KB Output is correct
7 Correct 95 ms 13304 KB Output is correct
8 Correct 9 ms 9856 KB Output is correct
9 Correct 11 ms 9984 KB Output is correct
10 Correct 90 ms 13304 KB Output is correct
11 Correct 89 ms 13176 KB Output is correct
12 Correct 84 ms 13432 KB Output is correct
13 Correct 90 ms 13304 KB Output is correct
14 Correct 134 ms 15356 KB Output is correct
15 Correct 798 ms 37240 KB Output is correct
16 Correct 132 ms 15352 KB Output is correct
17 Correct 807 ms 37368 KB Output is correct
18 Correct 452 ms 37272 KB Output is correct
19 Correct 457 ms 37240 KB Output is correct
20 Correct 745 ms 37324 KB Output is correct

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 53504 KB Output is correct
2 Correct 34 ms 53496 KB Output is correct
3 Correct 425 ms 56584 KB Output is correct
4 Execution timed out 4094 ms 77432 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #5
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 34 ms 53496 KB Output is correct
4 Correct 33 ms 53504 KB Output is correct
5 Correct 34 ms 53496 KB Output is correct
6 Correct 38 ms 53624 KB Output is correct
7 Correct 82 ms 54268 KB Output is correct
8 Incorrect 57 ms 54264 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 33 ms 53496 KB Output is correct
4 Correct 33 ms 53496 KB Output is correct
5 Incorrect 37 ms 53624 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 8 ms 9856 KB Output is correct
3 Correct 33 ms 53504 KB Output is correct
4 Correct 34 ms 53504 KB Output is correct
5 Correct 33 ms 53496 KB Output is correct
6 Correct 139 ms 56432 KB Output is correct
7 Correct 525 ms 58236 KB Output is correct
8 Correct 1117 ms 73720 KB Output is correct
9 Correct 1473 ms 73720 KB Output is correct
10 Correct 1879 ms 73680 KB Output is correct
11 Correct 2253 ms 73592 KB Output is correct
12 Correct 2603 ms 73720 KB Output is correct
13 Correct 2916 ms 73720 KB Output is correct
14 Correct 3000 ms 73592 KB Output is correct
15 Correct 7 ms 9728 KB Output is correct
16 Correct 7 ms 9728 KB Output is correct
17 Correct 7 ms 9728 KB Output is correct
18 Correct 7 ms 9728 KB Output is correct
19 Correct 7 ms 9728 KB Output is correct
20 Correct 10 ms 9856 KB Output is correct
21 Correct 95 ms 13304 KB Output is correct
22 Correct 9 ms 9856 KB Output is correct
23 Correct 11 ms 9984 KB Output is correct
24 Correct 90 ms 13304 KB Output is correct
25 Correct 89 ms 13176 KB Output is correct
26 Correct 84 ms 13432 KB Output is correct
27 Correct 90 ms 13304 KB Output is correct
28 Correct 134 ms 15356 KB Output is correct
29 Correct 798 ms 37240 KB Output is correct
30 Correct 132 ms 15352 KB Output is correct
31 Correct 807 ms 37368 KB Output is correct
32 Correct 452 ms 37272 KB Output is correct
33 Correct 457 ms 37240 KB Output is correct
34 Correct 745 ms 37324 KB Output is correct
35 Correct 33 ms 53504 KB Output is correct
36 Correct 34 ms 53496 KB Output is correct
37 Correct 425 ms 56584 KB Output is correct
38 Execution timed out 4094 ms 77432 KB Time limit exceeded
39 Halted 0 ms 0 KB -