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Submission #830090

# Submission time Handle Problem Language Result Execution time Memory
830090 2023-08-18T18:42:19 Z MohamedAhmed04 Designated Cities (JOI19_designated_cities) C++14
6 / 100
 2000 ms 48104 KB 
#include <bits/stdc++.h>

using namespace std ;

const int MAX = 2e5 + 10 ;

int arr[MAX] ;
int n , q ;

vector< vector< pair<int , int> > >adj(MAX) ;

long long ans[MAX] ;

int mark[MAX] ;
int sz[MAX] ;
int cursrc , cursz ;
long long curcost ;

pair<long long , int>tree[4 * MAX] ;
long long lazy[4 * MAX] ;

void build(int node , int l , int r)
{
	if(l == r)
	{
		tree[node] = {0 , l} , lazy[node] = 0 ;
		return ;
	}
	int mid = (l + r) >> 1 ;
	build(node << 1 , l , mid) ;
	build(node << 1 | 1 , mid+1 , r) ;
	tree[node] = max(tree[node << 1] , tree[node << 1 | 1]) ;
}

void prop(int node , int l , int r)
{
	tree[node].first += lazy[node] ;
	if(l != r)
	{
		lazy[node << 1] += lazy[node] ;
		lazy[node << 1 | 1] += lazy[node] ;
	}
	lazy[node] = 0 ;
}

void update(int node , int l , int r , int from , int to , int val)
{
	if(lazy[node])
		prop(node , l , r) ;
	if(from > r || to < l || from > to)
		return ;
	if(l >= from && r <= to)
	{
		lazy[node] += val ;
		prop(node , l , r) ;
		return ;
	}
	int mid = (l + r) >> 1 ;
	update(node << 1 , l , mid , from , to , val) ;
	update(node << 1 | 1 , mid+1 , r , from , to , val) ;
	tree[node] = max(tree[node << 1] , tree[node << 1 | 1]) ;
}

pair<long long , int>query(int node , int l , int r , int from , int to)
{
	if(lazy[node])
		prop(node , l , r) ;
	if(from > r || to < l || from > to)
		return {-1e18 , -1e9} ;
	if(l >= from && r <= to)
		return tree[node] ;
	int mid = (l + r) >> 1 ;
	pair<long long , int>a = query(node << 1 , l , mid , from , to) ;
	pair<long long , int>b = query(node << 1 | 1 , mid+1 , r , from , to) ;
	return max(a , b) ;
}

void dfs_pre(int node , int par)
{
	sz[node] = 1 ;
	for(auto &childd : adj[node])
	{
		int child = childd.first ;
		if(child == par || mark[child])
			continue ;
		dfs_pre(child , node) ;
		sz[node] += sz[child] ;
	}
}

int FindCentroid(int node , int par)
{
	for(auto &childd : adj[node])
	{
		int child = childd.first ;
		if(child == par || mark[child])
			continue ;
		if(sz[child] > cursz / 2)
			return FindCentroid(child , node) ;
	}
	return node ;
}

int val[MAX] ;
int in[MAX] , out[MAX] , id[MAX] ;
int tim = 0 ;
int sub[MAX] , P[MAX] , erased[MAX] , edgcost[MAX] ;
long long sum[MAX] ;

void dfs(int node , int par)
{
	in[node] = ++tim , id[tim] = node , P[node] = par ;
	curcost += val[node] , erased[node] = 0 ;
	sum[node] = val[node] ;
	for(auto &childd : adj[node])
	{
		int child = childd.first , w = childd.second ;
		if(child == par)
			edgcost[node] = w ;
		if(child == par || mark[child])
			continue ;
		val[child] = w ;
		if(in[node] == 1) //centroid
			sub[child] = child ;
		else
			sub[child] = sub[node] ;
		dfs(child , node) ;
		sum[node] += sum[child] ;
	}
	out[node] = tim ;
	update(1 , 1 , cursz , in[node] , out[node] , val[node]) ;
}

void Erase(int node)
{
	while((!erased[node]) && node)
	{
		erased[node] = 1 ;
		update(1 , 1 , cursz , in[node] , out[node] , -1 * val[node]) ;
		node = P[node] ;
	}
}

void solve(int src , long long cost)
{
	tim = 0 ;
	cursrc = src , curcost = cost ;
	dfs_pre(src , 0) ;
	cursz = sz[src] ;
	int centroid = FindCentroid(src , -1) ;
	val[centroid] = 0 ;
	build(1 , 1 , cursz) ;
	dfs(centroid , 0) ;
	ans[1] = min(ans[1] , curcost) ;
	bool flag = true ;
	int prv ;
	for(int i = 1 ; i <= cursz ; ++i)
	{
		pair<long long , int>p = query(1 , 1 , cursz , 1 , cursz) ;
		if((!p.first))
		{
			ans[i] = min({ans[i] , curcost , ans[i-1]}) ;
			continue ;
		}
		int node = id[p.second] ;
		if(i > 1)
			flag &= (sub[node] == sub[prv]) ;
		curcost -= p.first , Erase(node) ;
		if(!flag)
			ans[i] = min(ans[i] , curcost) ;
		else if(i > 1)
			ans[i] = min(ans[i] , curcost + p.first - max(query(1 , 1 , n , 1 , in[sub[node]]-1).first , query(1 , 1 , n , out[sub[node]]+1 , n).first)) ;
		prv = node ;
	}
	mark[centroid] = 1 ;
	for(auto &childd : adj[centroid])
	{
		int child = childd.first , w = childd.second ;
		if(mark[child])
			continue ;
		solve(child , cost + sum[centroid] - sum[child] + edgcost[child]) ;
	}
}

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n ;
	for(int i = 0 ; i < n-1 ; ++i)
	{
		int x , y , c , d ;
		cin>>x>>y>>c>>d ;
		adj[x].emplace_back(y , c) ;
		adj[y].emplace_back(x , d) ;
	}
	for(int i = 0 ; i <= n ; ++i)
		ans[i] = 1e18 ;
	solve(1 , 0) ;
	cin>>q ;
	while(q--)
	{
		int x ;
		cin>>x ;
		cout<<ans[x]<<"\n" ;
	} 
	return 0 ;
}

Compilation message

designated_cities.cpp: In function 'void solve(int, long long int)':
designated_cities.cpp:178:30: warning: unused variable 'w' [-Wunused-variable]
  178 |   int child = childd.first , w = childd.second ;
      |                              ^

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 2 ms 5076 KB Output is correct
5 Correct 2 ms 5076 KB Output is correct
6 Correct 2 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 2 ms 5076 KB Output is correct
9 Correct 2 ms 5076 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 2 ms 5076 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 1107 ms 35496 KB Output is correct
3 Correct 1828 ms 47280 KB Output is correct
4 Correct 1541 ms 35968 KB Output is correct
5 Correct 429 ms 35896 KB Output is correct
6 Correct 1544 ms 37724 KB Output is correct
7 Correct 381 ms 35804 KB Output is correct
8 Execution timed out 2053 ms 48104 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Incorrect 1128 ms 35556 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 2 ms 5076 KB Output is correct
5 Correct 2 ms 5076 KB Output is correct
6 Correct 2 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 2 ms 5076 KB Output is correct
9 Correct 2 ms 5076 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 2 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Incorrect 6 ms 5332 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 1107 ms 35496 KB Output is correct
3 Correct 1828 ms 47280 KB Output is correct
4 Correct 1541 ms 35968 KB Output is correct
5 Correct 429 ms 35896 KB Output is correct
6 Correct 1544 ms 37724 KB Output is correct
7 Correct 381 ms 35804 KB Output is correct
8 Execution timed out 2053 ms 48104 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 2 ms 5076 KB Output is correct
5 Correct 2 ms 5076 KB Output is correct
6 Correct 2 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 2 ms 5076 KB Output is correct
9 Correct 2 ms 5076 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 2 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 1107 ms 35496 KB Output is correct
14 Correct 1828 ms 47280 KB Output is correct
15 Correct 1541 ms 35968 KB Output is correct
16 Correct 429 ms 35896 KB Output is correct
17 Correct 1544 ms 37724 KB Output is correct
18 Correct 381 ms 35804 KB Output is correct
19 Execution timed out 2053 ms 48104 KB Time limit exceeded
20 Halted 0 ms 0 KB -