Submission #156701

# Submission time Handle Problem Language Result Execution time Memory
156701 2019-10-07T02:08:45 Z Lawliet Race (IOI11_race) C++14
100 / 100
856 ms 46944 KB
#include <bits/stdc++.h>
 
#define MAX 200010
#define MAXK 1000010
#define INF 1000000010
 
using namespace std;
typedef long long int lli;
typedef pair<int,int> pii;
 
int n, k;
int ans;
 
int sub[MAX];
int minEdge[MAXK];
 
bool isCentroid[MAX];
 
vector< int > peso[MAX];
vector< int > grafo[MAX];
 
vector< pii > updates;
 
void DFSInit(int cur, int p)
{
	sub[ cur ] = 1;
 
	for(int i = 0 ; i < grafo[ cur ].size() ; i++)
	{
		int prox = grafo[ cur ][ i ];
 
		if( prox == p ) continue;
		if( isCentroid[ prox ] ) continue;
 
		DFSInit( prox , cur );
 
		sub[ cur ] += sub[ prox ];
	}
}
 
int findCentroid(int cur, int p, int s)
{
	for(int i = 0 ; i < grafo[ cur ].size() ; i++)
	{
		int prox = grafo[ cur ][ i ];
 
		if( prox == p ) continue;
		if( isCentroid[ prox ] ) continue;
 
		if( sub[ prox ] > s/2 ) return findCentroid( prox , cur , s );
	}
 
	return cur;
}
 
void DFSCalculate(int cur, int p, lli distWeighted, int distUnweighted)
{
	if(distWeighted <= k)
	{
		updates.push_back( { distWeighted , distUnweighted } );
		ans = min( ans , minEdge[ k - distWeighted ] + distUnweighted );
	}
 
	for(int i = 0 ; i < grafo[ cur ].size() ; i++)
	{
		int prox = grafo[ cur ][ i ];
		int w = peso[ cur ][ i ];
 
		if( prox == p ) continue;
		if( isCentroid[ prox ] ) continue;
 
		DFSCalculate( prox , cur , distWeighted + w , distUnweighted + 1 );
	}
}
 
void decompose(int cur, int p)
{
	DFSInit( cur , cur );
 
	int curCentroid = findCentroid( cur , cur , sub[ cur ] );
 
	isCentroid[ curCentroid ] = true;
 
	vector< int > ind;
 
	for(int i = 0 ; i < grafo[ curCentroid ].size() ; i++)
	{
		int prox = grafo[ curCentroid ][ i ];
 		int w = peso[ curCentroid ][ i ];

		if( isCentroid[ prox ] ) continue;
 
		DFSCalculate(prox , curCentroid , w , 1);
 
		while( !updates.empty() )
		{
			int wW = updates.back().first;
			int wU = updates.back().second;
			updates.pop_back();
 
			ind.push_back( wW );
 
			minEdge[ wW ] = min( minEdge[ wW ] , wU );
		}
	}
 
	for(int i = 0 ; i < ind.size() ; i++)
		minEdge[ ind[i] ] = INF;
 
	minEdge[ 0 ] = 0;
 
	for(int i = 0 ; i < grafo[ curCentroid ].size() ; i++)
	{
		int prox = grafo[ curCentroid ][ i ];
 
		if( !isCentroid[ prox ] )
			decompose( prox , curCentroid );
	}
}
 
int best_path(int N, int K, int H[][2], int L[]) 
{
	n = N; k = K;
 
	for(int i = 0 ; i <= k ; i++)
		minEdge[ i ] = INF;
 
	minEdge[ 0 ] = 0;
 
	for(int i = 0 ; i < n - 1 ; i++)
	{
		int U = H[ i ][ 0 ];
		int V = H[ i ][ 1 ];
		int W = L[ i ];
 
		peso[ U ].push_back( W );
		peso[ V ].push_back( W );
 
		grafo[ U ].push_back( V );
		grafo[ V ].push_back( U );
	}
 
	ans = INF;
 
	decompose( 0 , 0 );
 
	if(ans == INF) return -1;
	return ans;
}

Compilation message

race.cpp: In function 'void DFSInit(int, int)':
race.cpp:28:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0 ; i < grafo[ cur ].size() ; i++)
                  ~~^~~~~~~~~~~~~~~~~~~~~
race.cpp: In function 'int findCentroid(int, int, int)':
race.cpp:43:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0 ; i < grafo[ cur ].size() ; i++)
                  ~~^~~~~~~~~~~~~~~~~~~~~
race.cpp: In function 'void DFSCalculate(int, int, lli, int)':
race.cpp:64:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0 ; i < grafo[ cur ].size() ; i++)
                  ~~^~~~~~~~~~~~~~~~~~~~~
race.cpp: In function 'void decompose(int, int)':
race.cpp:86:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0 ; i < grafo[ curCentroid ].size() ; i++)
                  ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
race.cpp:107:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0 ; i < ind.size() ; i++)
                  ~~^~~~~~~~~~~~
race.cpp:112:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0 ; i < grafo[ curCentroid ].size() ; i++)
                  ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9720 KB Output is correct
5 Correct 10 ms 9692 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 10 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9724 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 10 ms 9880 KB Output is correct
13 Correct 11 ms 9720 KB Output is correct
14 Correct 11 ms 9852 KB Output is correct
15 Correct 10 ms 9720 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9720 KB Output is correct
5 Correct 10 ms 9692 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 10 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9724 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 10 ms 9880 KB Output is correct
13 Correct 11 ms 9720 KB Output is correct
14 Correct 11 ms 9852 KB Output is correct
15 Correct 10 ms 9720 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 10 ms 9720 KB Output is correct
20 Correct 10 ms 9720 KB Output is correct
21 Correct 11 ms 9924 KB Output is correct
22 Correct 14 ms 13432 KB Output is correct
23 Correct 14 ms 12764 KB Output is correct
24 Correct 15 ms 13176 KB Output is correct
25 Correct 14 ms 13176 KB Output is correct
26 Correct 15 ms 11132 KB Output is correct
27 Correct 14 ms 13048 KB Output is correct
28 Correct 12 ms 10616 KB Output is correct
29 Correct 12 ms 11128 KB Output is correct
30 Correct 13 ms 11256 KB Output is correct
31 Correct 13 ms 12408 KB Output is correct
32 Correct 14 ms 12664 KB Output is correct
33 Correct 16 ms 12920 KB Output is correct
34 Correct 13 ms 12152 KB Output is correct
35 Correct 14 ms 13052 KB Output is correct
36 Correct 15 ms 13560 KB Output is correct
37 Correct 14 ms 12920 KB Output is correct
38 Correct 14 ms 11896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9720 KB Output is correct
5 Correct 10 ms 9692 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 10 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9724 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 10 ms 9880 KB Output is correct
13 Correct 11 ms 9720 KB Output is correct
14 Correct 11 ms 9852 KB Output is correct
15 Correct 10 ms 9720 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 199 ms 19320 KB Output is correct
20 Correct 208 ms 19320 KB Output is correct
21 Correct 213 ms 19736 KB Output is correct
22 Correct 198 ms 20388 KB Output is correct
23 Correct 171 ms 19064 KB Output is correct
24 Correct 114 ms 19576 KB Output is correct
25 Correct 236 ms 23812 KB Output is correct
26 Correct 157 ms 26540 KB Output is correct
27 Correct 336 ms 29872 KB Output is correct
28 Correct 559 ms 41176 KB Output is correct
29 Correct 583 ms 40184 KB Output is correct
30 Correct 335 ms 29816 KB Output is correct
31 Correct 352 ms 29816 KB Output is correct
32 Correct 414 ms 29944 KB Output is correct
33 Correct 498 ms 28800 KB Output is correct
34 Correct 473 ms 29688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9720 KB Output is correct
5 Correct 10 ms 9692 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 10 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9724 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 10 ms 9880 KB Output is correct
13 Correct 11 ms 9720 KB Output is correct
14 Correct 11 ms 9852 KB Output is correct
15 Correct 10 ms 9720 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 10 ms 9720 KB Output is correct
20 Correct 10 ms 9720 KB Output is correct
21 Correct 11 ms 9924 KB Output is correct
22 Correct 14 ms 13432 KB Output is correct
23 Correct 14 ms 12764 KB Output is correct
24 Correct 15 ms 13176 KB Output is correct
25 Correct 14 ms 13176 KB Output is correct
26 Correct 15 ms 11132 KB Output is correct
27 Correct 14 ms 13048 KB Output is correct
28 Correct 12 ms 10616 KB Output is correct
29 Correct 12 ms 11128 KB Output is correct
30 Correct 13 ms 11256 KB Output is correct
31 Correct 13 ms 12408 KB Output is correct
32 Correct 14 ms 12664 KB Output is correct
33 Correct 16 ms 12920 KB Output is correct
34 Correct 13 ms 12152 KB Output is correct
35 Correct 14 ms 13052 KB Output is correct
36 Correct 15 ms 13560 KB Output is correct
37 Correct 14 ms 12920 KB Output is correct
38 Correct 14 ms 11896 KB Output is correct
39 Correct 199 ms 19320 KB Output is correct
40 Correct 208 ms 19320 KB Output is correct
41 Correct 213 ms 19736 KB Output is correct
42 Correct 198 ms 20388 KB Output is correct
43 Correct 171 ms 19064 KB Output is correct
44 Correct 114 ms 19576 KB Output is correct
45 Correct 236 ms 23812 KB Output is correct
46 Correct 157 ms 26540 KB Output is correct
47 Correct 336 ms 29872 KB Output is correct
48 Correct 559 ms 41176 KB Output is correct
49 Correct 583 ms 40184 KB Output is correct
50 Correct 335 ms 29816 KB Output is correct
51 Correct 352 ms 29816 KB Output is correct
52 Correct 414 ms 29944 KB Output is correct
53 Correct 498 ms 28800 KB Output is correct
54 Correct 473 ms 29688 KB Output is correct
55 Correct 27 ms 10824 KB Output is correct
56 Correct 26 ms 10872 KB Output is correct
57 Correct 140 ms 20140 KB Output is correct
58 Correct 64 ms 20196 KB Output is correct
59 Correct 164 ms 27312 KB Output is correct
60 Correct 856 ms 46944 KB Output is correct
61 Correct 363 ms 30332 KB Output is correct
62 Correct 360 ms 34700 KB Output is correct
63 Correct 485 ms 34684 KB Output is correct
64 Correct 655 ms 33768 KB Output is correct
65 Correct 477 ms 30000 KB Output is correct
66 Correct 700 ms 42492 KB Output is correct
67 Correct 214 ms 35808 KB Output is correct
68 Correct 416 ms 35624 KB Output is correct
69 Correct 522 ms 35724 KB Output is correct
70 Correct 358 ms 34672 KB Output is correct