oj.uz

Submission #299643

# Submission time Handle Problem Language Result Execution time Memory
299643 2020-09-15T11:25:25 Z user202729 Highway Tolls (IOI18_highway) C++17
100 / 100
 261 ms 11556 KB 
// moreflags=grader.cpp
// :(
#include "highway.h"
#if not LOCAL
#define NDEBUG
#endif
#include<cassert>
#include<vector>
#include<cstdint>
#include<algorithm>

void find_pair(int number, std::vector<int> U, std::vector<int> V, int A, int B) {
	std::vector<int> query(U.size(), 0);
	auto const d1=ask(query); // a*(distance from S to T)

	int i=0;
	for(int step=1<<20; step>>=1;) if(i+step<(int)U.size()){
		query.assign(i+step, 1); query.resize(U.size(), 0);
		auto const d=ask(query);
		if(d==d1) i+=step;
	}
	// now i is the maximum value such that there's a shortest path not passing through the first i edges
	// therefore there must be a shortest path passing through edge [i]

	struct Edge{int node, index;};

	std::array<std::vector<Edge>, 2> edges; // edge indices in the bfs tree, split by sourceIndex,
	// each one is ordered by distance from source node
	// (node in each edge struct is the node farther from the corresponding source node)

	std::array<int, 2> source{{U[i], V[i]}};
	{
		// construct adjacency list
		std::vector<std::vector<Edge>> add(number);
		for(int index=0; index<(int)U.size(); ++index){
			auto const a=U[index], b=V[index];
			add[a].push_back({b, index}); add[b].push_back({a, index});
		}

		// multisource bfs from edge [i]
		struct Item{int node, sourceIndex;};
		std::vector<Item> queue; queue.reserve(number);
		std::vector<char> visited(number);
		for(int i=0; i<2; ++i){
			queue.push_back({source[i], i}); visited[source[i]]=true;
		}
		for(int start=0; start<(int)queue.size(); ++start){
			auto const [node, sourceIndex]=queue[start];
			for(auto [other, edgeIndex]: add[node]) if(not visited[other]){
				edges[sourceIndex].push_back({other, edgeIndex});
				visited[other]=true;
				queue.push_back({other, sourceIndex});
			}
		}
	}

	std::array<int, 2> result;
	for(int sourceIndex=0; sourceIndex<2; ++sourceIndex){
		int j=(int)edges[sourceIndex].size();
		for(int step=1<<20; step>>=1;) if(j-step>=0){
			query.assign(U.size(), 1);
			query[i]=0;
			for(auto [other, index]: edges[not sourceIndex]) query[index]=0;
			for(int k=0; k<j-step; ++k) query[edges[sourceIndex][k].index]=0;
			if(ask(query)==d1) j-=step;
		}
		// now j is the smallest value such that the sourceIndex half of the shortest path
		// is included in the first j nodes of edges[sourceIndex]
		result[sourceIndex]=j==0 ? source[sourceIndex]: edges[sourceIndex][j-1].node;
	}
	answer(result[0], result[1]);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 372 KB Output is correct
3 Correct 1 ms 360 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 368 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 14 ms 1408 KB Output is correct
3 Correct 164 ms 9300 KB Output is correct
4 Correct 167 ms 9300 KB Output is correct
5 Correct 155 ms 9304 KB Output is correct
6 Correct 143 ms 9300 KB Output is correct
7 Correct 161 ms 9304 KB Output is correct
8 Correct 149 ms 9352 KB Output is correct
9 Correct 153 ms 9428 KB Output is correct
10 Correct 158 ms 9372 KB Output is correct
11 Correct 165 ms 8792 KB Output is correct
12 Correct 160 ms 9080 KB Output is correct
13 Correct 173 ms 8904 KB Output is correct
14 Correct 161 ms 9044 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 1400 KB Output is correct
2 Correct 19 ms 2304 KB Output is correct
3 Correct 39 ms 3136 KB Output is correct
4 Correct 117 ms 8676 KB Output is correct
5 Correct 122 ms 8816 KB Output is correct
6 Correct 121 ms 9124 KB Output is correct
7 Correct 102 ms 8916 KB Output is correct
8 Correct 125 ms 8736 KB Output is correct
9 Correct 118 ms 9196 KB Output is correct

Subtask #4
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 110 ms 7760 KB Output is correct
4 Correct 176 ms 9300 KB Output is correct
5 Correct 155 ms 9284 KB Output is correct
6 Correct 134 ms 9260 KB Output is correct
7 Correct 150 ms 9308 KB Output is correct
8 Correct 131 ms 9292 KB Output is correct
9 Correct 159 ms 9412 KB Output is correct
10 Correct 180 ms 9420 KB Output is correct
11 Correct 172 ms 8816 KB Output is correct
12 Correct 152 ms 8936 KB Output is correct
13 Correct 169 ms 9164 KB Output is correct
14 Correct 172 ms 8604 KB Output is correct
15 Correct 147 ms 9300 KB Output is correct
16 Correct 143 ms 9288 KB Output is correct
17 Correct 167 ms 8988 KB Output is correct
18 Correct 164 ms 8824 KB Output is correct
19 Correct 140 ms 9372 KB Output is correct
20 Correct 173 ms 9040 KB Output is correct
21 Correct 130 ms 9912 KB Output is correct
22 Correct 128 ms 9884 KB Output is correct
23 Correct 143 ms 9552 KB Output is correct
24 Correct 136 ms 9612 KB Output is correct
25 Correct 159 ms 9048 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1400 KB Output is correct
2 Correct 16 ms 1528 KB Output is correct
3 Correct 176 ms 9684 KB Output is correct
4 Correct 192 ms 10524 KB Output is correct
5 Correct 214 ms 11472 KB Output is correct
6 Correct 219 ms 10892 KB Output is correct
7 Correct 222 ms 10976 KB Output is correct
8 Correct 216 ms 10972 KB Output is correct
9 Correct 168 ms 7168 KB Output is correct
10 Correct 174 ms 7516 KB Output is correct
11 Correct 177 ms 8256 KB Output is correct
12 Correct 214 ms 10048 KB Output is correct
13 Correct 232 ms 10440 KB Output is correct
14 Correct 237 ms 10968 KB Output is correct
15 Correct 227 ms 11248 KB Output is correct
16 Correct 204 ms 8356 KB Output is correct
17 Correct 154 ms 9760 KB Output is correct
18 Correct 153 ms 9884 KB Output is correct
19 Correct 153 ms 9724 KB Output is correct
20 Correct 143 ms 9748 KB Output is correct
21 Correct 261 ms 11360 KB Output is correct

Subtask #6
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1408 KB Output is correct
2 Correct 18 ms 1528 KB Output is correct
3 Correct 177 ms 9516 KB Output is correct
4 Correct 179 ms 9804 KB Output is correct
5 Correct 204 ms 10080 KB Output is correct
6 Correct 207 ms 10916 KB Output is correct
7 Correct 172 ms 9720 KB Output is correct
8 Correct 189 ms 10004 KB Output is correct
9 Correct 196 ms 9972 KB Output is correct
10 Correct 234 ms 10948 KB Output is correct
11 Correct 215 ms 11256 KB Output is correct
12 Correct 221 ms 10860 KB Output is correct
13 Correct 173 ms 8268 KB Output is correct
14 Correct 156 ms 7456 KB Output is correct
15 Correct 163 ms 8336 KB Output is correct
16 Correct 163 ms 7412 KB Output is correct
17 Correct 179 ms 8312 KB Output is correct
18 Correct 185 ms 7492 KB Output is correct
19 Correct 210 ms 10076 KB Output is correct
20 Correct 230 ms 11144 KB Output is correct
21 Correct 225 ms 10936 KB Output is correct
22 Correct 249 ms 10896 KB Output is correct
23 Correct 237 ms 11004 KB Output is correct
24 Correct 236 ms 10924 KB Output is correct
25 Correct 233 ms 11556 KB Output is correct
26 Correct 219 ms 11476 KB Output is correct
27 Correct 141 ms 9888 KB Output is correct
28 Correct 146 ms 9720 KB Output is correct
29 Correct 132 ms 9992 KB Output is correct
30 Correct 145 ms 9844 KB Output is correct
31 Correct 137 ms 9780 KB Output is correct
32 Correct 153 ms 9728 KB Output is correct
33 Correct 150 ms 9976 KB Output is correct
34 Correct 133 ms 9796 KB Output is correct
35 Correct 139 ms 9872 KB Output is correct
36 Correct 139 ms 9592 KB Output is correct
37 Correct 144 ms 9884 KB Output is correct
38 Correct 139 ms 9812 KB Output is correct
39 Correct 227 ms 11452 KB Output is correct
40 Correct 250 ms 11404 KB Output is correct
41 Correct 259 ms 11108 KB Output is correct
42 Correct 240 ms 11124 KB Output is correct