oj.uz

Submission #308748

# Submission time Handle Problem Language Result Execution time Memory
308748 2020-10-01T20:21:24 Z CaroLinda Comparing Plants (IOI20_plants) C++14
100 / 100
 1630 ms 130220 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] ;
ll dist[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 ;
 
	}
 
}

bool isOn(int m, int i) { return ((1<<i)&m) != 0 ; }
 
int getDist( bool clockwise , int a, int b )
{
	if(a == b) return 0 ;

	if(!clockwise)
	{
		if(b < a) return a - b ;
		return a + n - b ;
	}
 
	if( b > a ) return b-a ;
	return n-a+b ;
}
 
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,0,n)
			if(dp[i][0][j] != -1)
				dist[i][0][j] = (ll)getDist(i, j , dp[i][0][j] ) ;
 
	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] ] ;
				dist[i][j][g] = dist[i][j-1][g] + dist[i][j-1][ dp[i][j-1][g] ] ;
			}
 
}

 
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 ;
 
	for(int cur : {x,y} )
	for(int type = 0 ; type < 2 ; type++ )
	{
		int filho = cur , _filho ;
		int other = (cur == x ) ? y : x ;
		int d = getDist(type, cur, other) ;
 
		if(h[other] > h[cur]) continue ;
 
		for(int i = LOG-1 ; i >= 0 ; i-- )
		{
 
 
			_filho = dp[type][i][filho] ;
 
			if(_filho == -1 ) continue ;
			if(dist[type][i][filho] > d) continue ;
 
			//cout << filho << " " << type << " " << _filho << " " << h[_filho] << " " << i << " " << dist[type][i][filho] << " "<< d << endl ;
			
			//int distToCur = getDist(type, _filho, cur ) ;
			int distToOther = getDist(type, _filho, other ) ;
  
			if(distToOther < k )
			{
				if(h[other] <= h[_filho]  ) 
					return (cur == x) ? 1 : -1 ;
			}
			else if(h[_filho] > h[other] ) d -= dist[type][i][filho] , filho = _filho  ;
 
		}
 
		if(h[other] <= h[filho] && getDist(type, filho, other) < k ) 
			return (cur == x) ? 1 : -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 6 ms 9728 KB Output is correct
3 Correct 31 ms 53632 KB Output is correct
4 Correct 31 ms 53632 KB Output is correct
5 Correct 31 ms 53624 KB Output is correct
6 Correct 105 ms 56440 KB Output is correct
7 Correct 211 ms 61176 KB Output is correct
8 Correct 714 ms 94504 KB Output is correct
9 Correct 748 ms 101368 KB Output is correct
10 Correct 773 ms 97784 KB Output is correct
11 Correct 853 ms 96672 KB Output is correct
12 Correct 845 ms 99240 KB Output is correct
13 Correct 978 ms 101496 KB Output is correct
14 Correct 833 ms 101380 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9728 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 6 ms 9728 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 10 ms 9984 KB Output is correct
7 Correct 89 ms 13304 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 10 ms 9856 KB Output is correct
10 Correct 87 ms 13304 KB Output is correct
11 Correct 84 ms 13176 KB Output is correct
12 Correct 86 ms 13432 KB Output is correct
13 Correct 105 ms 13304 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9728 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 6 ms 9728 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 10 ms 9984 KB Output is correct
7 Correct 89 ms 13304 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 10 ms 9856 KB Output is correct
10 Correct 87 ms 13304 KB Output is correct
11 Correct 84 ms 13176 KB Output is correct
12 Correct 86 ms 13432 KB Output is correct
13 Correct 105 ms 13304 KB Output is correct
14 Correct 140 ms 15352 KB Output is correct
15 Correct 881 ms 37288 KB Output is correct
16 Correct 134 ms 15352 KB Output is correct
17 Correct 860 ms 37368 KB Output is correct
18 Correct 451 ms 37240 KB Output is correct
19 Correct 483 ms 37368 KB Output is correct
20 Correct 728 ms 37240 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 53624 KB Output is correct
2 Correct 31 ms 53632 KB Output is correct
3 Correct 155 ms 57080 KB Output is correct
4 Correct 1022 ms 127864 KB Output is correct
5 Correct 1198 ms 119288 KB Output is correct
6 Correct 1417 ms 123900 KB Output is correct
7 Correct 1625 ms 126840 KB Output is correct
8 Correct 1630 ms 130040 KB Output is correct
9 Correct 1020 ms 105720 KB Output is correct
10 Correct 1016 ms 118988 KB Output is correct
11 Correct 918 ms 101496 KB Output is correct
12 Correct 771 ms 101368 KB Output is correct
13 Correct 746 ms 102392 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9728 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 30 ms 53624 KB Output is correct
4 Correct 30 ms 53624 KB Output is correct
5 Correct 30 ms 53632 KB Output is correct
6 Correct 31 ms 53760 KB Output is correct
7 Correct 51 ms 54264 KB Output is correct
8 Correct 46 ms 54392 KB Output is correct
9 Correct 53 ms 54392 KB Output is correct
10 Correct 46 ms 54396 KB Output is correct
11 Correct 51 ms 54312 KB Output is correct
12 Correct 50 ms 54392 KB Output is correct
13 Correct 22 ms 10496 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 29 ms 53632 KB Output is correct
4 Correct 31 ms 53632 KB Output is correct
5 Correct 33 ms 53880 KB Output is correct
6 Correct 754 ms 98772 KB Output is correct
7 Correct 1368 ms 108536 KB Output is correct
8 Correct 1318 ms 120696 KB Output is correct
9 Correct 1416 ms 130168 KB Output is correct
10 Correct 677 ms 105096 KB Output is correct
11 Correct 1052 ms 116088 KB Output is correct
12 Correct 790 ms 128760 KB Output is correct
13 Correct 862 ms 121140 KB Output is correct
14 Correct 1292 ms 123896 KB Output is correct
15 Correct 1461 ms 126968 KB Output is correct
16 Correct 727 ms 120316 KB Output is correct
17 Correct 782 ms 110456 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 6 ms 9728 KB Output is correct
3 Correct 31 ms 53632 KB Output is correct
4 Correct 31 ms 53632 KB Output is correct
5 Correct 31 ms 53624 KB Output is correct
6 Correct 105 ms 56440 KB Output is correct
7 Correct 211 ms 61176 KB Output is correct
8 Correct 714 ms 94504 KB Output is correct
9 Correct 748 ms 101368 KB Output is correct
10 Correct 773 ms 97784 KB Output is correct
11 Correct 853 ms 96672 KB Output is correct
12 Correct 845 ms 99240 KB Output is correct
13 Correct 978 ms 101496 KB Output is correct
14 Correct 833 ms 101380 KB Output is correct
15 Correct 6 ms 9728 KB Output is correct
16 Correct 6 ms 9728 KB Output is correct
17 Correct 6 ms 9728 KB Output is correct
18 Correct 6 ms 9728 KB Output is correct
19 Correct 7 ms 9728 KB Output is correct
20 Correct 10 ms 9984 KB Output is correct
21 Correct 89 ms 13304 KB Output is correct
22 Correct 8 ms 9856 KB Output is correct
23 Correct 10 ms 9856 KB Output is correct
24 Correct 87 ms 13304 KB Output is correct
25 Correct 84 ms 13176 KB Output is correct
26 Correct 86 ms 13432 KB Output is correct
27 Correct 105 ms 13304 KB Output is correct
28 Correct 140 ms 15352 KB Output is correct
29 Correct 881 ms 37288 KB Output is correct
30 Correct 134 ms 15352 KB Output is correct
31 Correct 860 ms 37368 KB Output is correct
32 Correct 451 ms 37240 KB Output is correct
33 Correct 483 ms 37368 KB Output is correct
34 Correct 728 ms 37240 KB Output is correct
35 Correct 31 ms 53624 KB Output is correct
36 Correct 31 ms 53632 KB Output is correct
37 Correct 155 ms 57080 KB Output is correct
38 Correct 1022 ms 127864 KB Output is correct
39 Correct 1198 ms 119288 KB Output is correct
40 Correct 1417 ms 123900 KB Output is correct
41 Correct 1625 ms 126840 KB Output is correct
42 Correct 1630 ms 130040 KB Output is correct
43 Correct 1020 ms 105720 KB Output is correct
44 Correct 1016 ms 118988 KB Output is correct
45 Correct 918 ms 101496 KB Output is correct
46 Correct 771 ms 101368 KB Output is correct
47 Correct 746 ms 102392 KB Output is correct
48 Correct 9 ms 9728 KB Output is correct
49 Correct 6 ms 9728 KB Output is correct
50 Correct 30 ms 53624 KB Output is correct
51 Correct 30 ms 53624 KB Output is correct
52 Correct 30 ms 53632 KB Output is correct
53 Correct 31 ms 53760 KB Output is correct
54 Correct 51 ms 54264 KB Output is correct
55 Correct 46 ms 54392 KB Output is correct
56 Correct 53 ms 54392 KB Output is correct
57 Correct 46 ms 54396 KB Output is correct
58 Correct 51 ms 54312 KB Output is correct
59 Correct 50 ms 54392 KB Output is correct
60 Correct 22 ms 10496 KB Output is correct
61 Correct 132 ms 56696 KB Output is correct
62 Correct 207 ms 60024 KB Output is correct
63 Correct 807 ms 91256 KB Output is correct
64 Correct 1028 ms 98684 KB Output is correct
65 Correct 1431 ms 108996 KB Output is correct
66 Correct 1509 ms 120696 KB Output is correct
67 Correct 1499 ms 130220 KB Output is correct
68 Correct 959 ms 106104 KB Output is correct
69 Correct 1027 ms 116008 KB Output is correct
70 Correct 994 ms 128248 KB Output is correct
71 Correct 1131 ms 121976 KB Output is correct
72 Correct 1417 ms 123856 KB Output is correct
73 Correct 1441 ms 126968 KB Output is correct
74 Correct 826 ms 92664 KB Output is correct
75 Correct 1057 ms 113356 KB Output is correct