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Submission #475755

# Submission time Handle Problem Language Result Execution time Memory
475755 2021-09-24T01:47:30 Z CaroLinda Janjetina (COCI21_janjetina) C++14
110 / 110
 1369 ms 36736 KB 
#include <bits/stdc++.h>

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

const int MAXN = 1e5+10 ;

using namespace std ;

ll ans ;

struct Query
{

	vector<int> procuro ;
	int other_vert , edge_weight ;

	bool operator < ( Query other ) const { return edge_weight < other.edge_weight ; }

} ;

int N, K ;
int dsu[MAXN] , qtd[MAXN] , weight[MAXN] ;
vector<int> adj_dsu[MAXN] ;
vector<pair<int,int> > adj[MAXN] ;
vector< tuple<int,int,int, int> > edges ;
vector<Query> queries[MAXN] ;
bool marc[MAXN] ;

// ----------------------- UNION FIND -------------------------
int find(int x) { return dsu[x] = (x == dsu[x]) ? x : find(dsu[x]) ; }
int w_union_find ;
void dfs_union_find(int x, int y , int par, int depth )
{
	if(w_union_find-K-depth-1 >= 0)
		queries[y].back().procuro.pb( min(w_union_find-K-depth-1, N) ) ;

	for(auto e : adj_dsu[x] )
	{
		if(e == par ) continue ;
		dfs_union_find(e, y, x, depth+1) ;
	}
}
void join(int x, int y, int w, int i)
{
	int a = find(x) ;
	int b = find(y) ;
	w_union_find = w ;

	if( qtd[a] > qtd[b] )
	{
		swap(a,b) ;
		swap(x,y) ;
	}

	queries[y].pb( Query() ) ;
	queries[y].back().edge_weight = i-1 ;
	queries[y].back().other_vert = x ;

	dfs_union_find(x, y, -1, 0 ); 

	adj_dsu[x].pb(y) ;
	adj_dsu[y].pb(x) ;
	dsu[a] = b ;
	qtd[b] += qtd[a] ;

}
// ------------------------------------------------------------

int q ;
int sub[MAXN] , bit[MAXN] , dist[MAXN] ;
vector<pair<int,int> > pares , perguntas ;

void upd(int i , int val) { if(i == -1 ) return ;for(++i; i < MAXN ; i += i &-i ) bit[i] += val; }
int qry(int i)
{
	int tot = 0 ;
	for(++i; i > 0 ; i -= i &-i ) tot += bit[i] ;
	return tot ;
}

void dfs1(int x, int par )
{
	sub[x] = 1 ;
	for(auto e : adj[x])
		if(e.ff != par && !marc[e.ff])
		{
			dfs1(e.ff,x) ;
			sub[x] += sub[e.ff] ;
		}
}
int dfs2(int x, int par )
{
	for(auto e : adj[x] ) 
	{
		if(e.ff == par || marc[e.ff]) continue ;
		if( sub[e.ff] > q/2 ) return dfs2(e.ff, x ) ;
	}
	return x ;
}

void dfs3(int x, int par , int cur_mx , int cur_depth )
{

	dist[x] = cur_depth ;
	pares.pb( mk(cur_mx, cur_depth) ) ;

	for(int i = 0 ; i < sz(queries[x]) ; i++ )
	{
		if( queries[x][i].other_vert == par || cur_mx > queries[x][i].edge_weight ) continue ;
		perguntas.pb(mk(x,i)) ;
	}

	for(auto e : adj[x] ) 
	{
		if(marc[e.ff] || e.ff == par ) continue ;
		dfs3(e.ff, x, max(cur_mx, weight[e.ss]) , cur_depth+1 ) ;
	}

}

void solve(int ptr1, int ptr2, int s)
{
	while(ptr1 < sz(pares) || ptr2 < sz(perguntas))
	{
		if( ptr2 == sz(perguntas) ) 
		{
			upd(pares[ptr1].ss, 1) ;
			ptr1++ ;
			continue ;
		}

		int x = perguntas[ptr2].ff ;
		int y = perguntas[ptr2].ss ;
		int k = queries[ x ][y].edge_weight ;

		if(ptr1 == sz(pares) || pares[ptr1].ff > k)
		{
			for( auto e : queries[x][y].procuro )
				ans += qry( e - dist[x]) * s ;

			ptr2++ ;
			continue ;
		}
		else
		{
			upd(pares[ptr1].ss , 1 ) ;
			ptr1++ ;
			continue ;
		}

	}
}

bool cmp(pii p1, pii p2) { return queries[p1.ff][p1.ss] < queries[p2.ff][p2.ss] ; } 

void decompose(int x)
{

	dfs1(x,-1) ;
	q = sub[x] ;
	
	int cn = dfs2(x,-1) ;

	marc[cn] = true ;

	pares.clear() ; perguntas.clear() ;
	pares.pb( mk( -1, 0 ) ) ;

	for(auto e : adj[cn])
	{
		if(marc[e.ff]) continue ;

		int l_pares=  sz(pares) ;
		int l_perguntas = sz(perguntas) ;

		dfs3(e.ff, cn, weight[e.ss] , 1 ) ;

		sort( pares.begin()+l_pares , pares.end() ) ;
		sort( perguntas.begin()+l_perguntas, perguntas.end() , cmp ) ;

		int ptr1 = l_pares , ptr2 = l_perguntas ;

		solve(ptr1, ptr2,-1) ;

		for(int i = l_pares ; i < sz(pares) ; i++ ) 
			upd( pares[i].ss , -1 ) ;

	}

	sort(all(pares)) ;
	sort(all(perguntas),cmp) ;

	solve(0,0,1) ;

	for(int i = 0 ; i < sz(pares) ; i++ ) 
		upd( pares[i].ss , -1 ) ;	

	perguntas.clear() ;
	for(int i = 0 ; i < sz(queries[cn]) ; i++ ) 
	{
		perguntas.pb(mk(cn,i)) ;
		queries[cn][i].edge_weight-- ;
	}


	dist[cn] = 0 ;

	solve(0,0,1)  ;

	for(int i = 0 ; i < sz(pares) ; i++ ) 
		upd( pares[i].ss , -1 ) ;

	for(auto e : adj[cn])
		if(!marc[e.ff]) decompose(e.ff) ;	

}

int main()
{
	scanf("%d %d", &N, &K ) ;

	for(int i = 1 ; i <= N ; i++ )
	{
		dsu[i] = i ;
		qtd[i] = 1 ;
	}

	for(int i = 0, x , y , w ; i < N-1 ; i++ )
	{
		scanf("%d %d %d", &x, &y, &w ) ;
		adj[x].pb(mk(y,i)) ;
		adj[y].pb(mk(x,i) );
		edges.pb(mkt(w, x, y,i)) ;
	}

	sort(all(edges)) ;
	for(int i = 0 , x , y , w ; i < N-1; i++ )
	{
		w = get<0>(edges[i]) ;
		x = get<1>(edges[i]) ;
		y = get<2>(edges[i]) ;

		join(x,y,w, (i+1)*2 ) ;

		weight[get<3>(edges[i])] = (i+1)*2 ;
	}

	decompose(1) ;

	printf("%lld\n" , ans*2LL ) ;

}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:231:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  231 |  scanf("%d %d", &N, &K ) ;
      |  ~~~~~^~~~~~~~~~~~~~~~~~
Main.cpp:241:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  241 |   scanf("%d %d %d", &x, &y, &w ) ;
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7372 KB Output is correct
2 Correct 4 ms 7372 KB Output is correct
3 Correct 4 ms 7372 KB Output is correct
4 Correct 8 ms 7628 KB Output is correct
5 Correct 8 ms 7640 KB Output is correct
6 Correct 8 ms 7664 KB Output is correct
7 Correct 7 ms 7520 KB Output is correct
8 Correct 7 ms 7628 KB Output is correct
9 Correct 8 ms 7580 KB Output is correct
10 Correct 6 ms 7500 KB Output is correct
11 Correct 6 ms 7500 KB Output is correct
12 Correct 6 ms 7500 KB Output is correct
13 Correct 9 ms 7500 KB Output is correct
14 Correct 7 ms 7508 KB Output is correct
15 Correct 8 ms 7500 KB Output is correct
16 Correct 8 ms 7500 KB Output is correct
17 Correct 6 ms 7500 KB Output is correct
18 Correct 7 ms 7500 KB Output is correct
19 Correct 8 ms 7500 KB Output is correct
20 Correct 6 ms 7500 KB Output is correct
21 Correct 7 ms 7500 KB Output is correct
22 Correct 7 ms 7500 KB Output is correct

Subtask #2
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7372 KB Output is correct
2 Correct 4 ms 7372 KB Output is correct
3 Correct 4 ms 7372 KB Output is correct
4 Correct 9 ms 7628 KB Output is correct
5 Correct 48 ms 9828 KB Output is correct
6 Correct 307 ms 21736 KB Output is correct
7 Correct 515 ms 31764 KB Output is correct
8 Correct 860 ms 35000 KB Output is correct
9 Correct 537 ms 31364 KB Output is correct
10 Correct 594 ms 35872 KB Output is correct
11 Correct 526 ms 31688 KB Output is correct
12 Correct 817 ms 34864 KB Output is correct
13 Correct 530 ms 31620 KB Output is correct
14 Correct 581 ms 35832 KB Output is correct
15 Correct 595 ms 34324 KB Output is correct
16 Correct 684 ms 36400 KB Output is correct
17 Correct 712 ms 36736 KB Output is correct
18 Correct 724 ms 36700 KB Output is correct

Subtask #3
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7372 KB Output is correct
2 Correct 4 ms 7372 KB Output is correct
3 Correct 4 ms 7372 KB Output is correct
4 Correct 8 ms 7628 KB Output is correct
5 Correct 8 ms 7640 KB Output is correct
6 Correct 8 ms 7664 KB Output is correct
7 Correct 7 ms 7520 KB Output is correct
8 Correct 7 ms 7628 KB Output is correct
9 Correct 8 ms 7580 KB Output is correct
10 Correct 6 ms 7500 KB Output is correct
11 Correct 6 ms 7500 KB Output is correct
12 Correct 6 ms 7500 KB Output is correct
13 Correct 9 ms 7500 KB Output is correct
14 Correct 7 ms 7508 KB Output is correct
15 Correct 8 ms 7500 KB Output is correct
16 Correct 8 ms 7500 KB Output is correct
17 Correct 6 ms 7500 KB Output is correct
18 Correct 7 ms 7500 KB Output is correct
19 Correct 8 ms 7500 KB Output is correct
20 Correct 6 ms 7500 KB Output is correct
21 Correct 7 ms 7500 KB Output is correct
22 Correct 7 ms 7500 KB Output is correct
23 Correct 5 ms 7372 KB Output is correct
24 Correct 4 ms 7372 KB Output is correct
25 Correct 4 ms 7372 KB Output is correct
26 Correct 9 ms 7628 KB Output is correct
27 Correct 48 ms 9828 KB Output is correct
28 Correct 307 ms 21736 KB Output is correct
29 Correct 515 ms 31764 KB Output is correct
30 Correct 860 ms 35000 KB Output is correct
31 Correct 537 ms 31364 KB Output is correct
32 Correct 594 ms 35872 KB Output is correct
33 Correct 526 ms 31688 KB Output is correct
34 Correct 817 ms 34864 KB Output is correct
35 Correct 530 ms 31620 KB Output is correct
36 Correct 581 ms 35832 KB Output is correct
37 Correct 595 ms 34324 KB Output is correct
38 Correct 684 ms 36400 KB Output is correct
39 Correct 712 ms 36736 KB Output is correct
40 Correct 724 ms 36700 KB Output is correct
41 Correct 4 ms 7372 KB Output is correct
42 Correct 519 ms 31764 KB Output is correct
43 Correct 846 ms 35220 KB Output is correct
44 Correct 549 ms 31380 KB Output is correct
45 Correct 604 ms 35912 KB Output is correct
46 Correct 522 ms 31812 KB Output is correct
47 Correct 894 ms 35008 KB Output is correct
48 Correct 518 ms 31484 KB Output is correct
49 Correct 599 ms 35912 KB Output is correct
50 Correct 598 ms 34356 KB Output is correct
51 Correct 711 ms 36172 KB Output is correct
52 Correct 273 ms 25136 KB Output is correct
53 Correct 369 ms 28552 KB Output is correct
54 Correct 285 ms 26160 KB Output is correct
55 Correct 369 ms 28600 KB Output is correct
56 Correct 374 ms 27572 KB Output is correct
57 Correct 541 ms 24248 KB Output is correct
58 Correct 657 ms 28212 KB Output is correct
59 Correct 1369 ms 27952 KB Output is correct
60 Correct 658 ms 27448 KB Output is correct
61 Correct 682 ms 27696 KB Output is correct
62 Correct 454 ms 24188 KB Output is correct
63 Correct 613 ms 28136 KB Output is correct
64 Correct 642 ms 27060 KB Output is correct
65 Correct 23 ms 8340 KB Output is correct
66 Correct 6 ms 7372 KB Output is correct