Submission #781143

# Submission time Handle Problem Language Result Execution time Memory
781143 2023-07-12T19:21:12 Z Boas Xylophone (JOI18_xylophone) C++17
100 / 100
580 ms 664 KB
//#define _CRT_SECURE_NO_WARNINGS
//#include "grader.cpp"
#include "xylophone.h"
using namespace std;
#include <vector>
#include <bitset>
#include <unordered_map>
typedef vector<int> vi;
typedef pair<int, int> pii;

struct pairhash
{
public:
	template <typename T, typename U>
	size_t operator()(const pair<T, U>& x) const
	{
		return hash<T>()(x.first) * 100003 ^ hash<U>()(x.second);
	}
};

unordered_map<pii, int, pairhash> queries;

int ownQuery(int a, int b)
{
	if (queries.find({ a, b }) != queries.end())
	{
		return queries[{a, b}];
	}
	return queries[{a, b}] = query(a, b);
}

void queryAndProcess(const int& i, const int& d, bool& canProgress, const int& N, bitset<5001>& notFound, vi& values, const bool& doExtra)
{
	if (i + d > N || i + d <= 0) return;
	if (values[i] == -1) return;
	if (values[i + d] != -1) return;
	int v = d > 0 ? ownQuery(i, i + d) : ownQuery(i + d, i);
	int opt1 = values[i] + v;
	int opt2 = values[i] - v;
	int result = 0; // 1 = opt1, 2 = opt2, 0 is unknown
	if (opt1 < 1) result = 2;
	else if (opt2 < 1) result = 1;
	else if (opt1 > N) result = 2;
	else if (opt2 > N) result = 1;
	else if (!notFound[opt1]) result = 2;
	else if (!notFound[opt2]) result = 1;
	if (result == 0)
	{
		if (!doExtra) return;
		int v2 = d > 0 ? query(i - d, i + d) : query(i + d, i - d);
		int ma = max(values[i - d], values[i]);
		int mi = min(values[i - d], values[i]);
		int v2Opt1 = max(opt1, ma) - min(opt1, mi);
		int v2Opt2 = max(opt2, ma) - min(opt2, mi);
		result = v2 == v2Opt1 ? 1 : 2;
	}
	if (result == 1)
	{
		values[i + d] = opt1;
		notFound[opt1] = false;
	}
	else
	{
		values[i + d] = opt2;
		notFound[opt2] = false;
	}
	canProgress = true;
}

void solve(int N)
{
	int a = 1, b = N;
	while (a < b)
	{
		int k = (a + b) / 2;
		int value = ownQuery(1, k);
		if (value == N - 1) b = k;
		else a = k + 1;
	}
	int maxIndex = a;
	a = 1, b = maxIndex - 1;
	while (a < b)
	{
		int k = (a + b + 1) / 2;
		int value = ownQuery(k, maxIndex);
		if (value == N - 1) a = k;
		else b = k - 1;
	}
	int oneIndex = a;
	bitset<5001> notFound;
	for (int i = 2; i < N; i++) notFound[i] = true;
	vi values(N + 1, -1);
	values[oneIndex] = 1;
	values[maxIndex] = N;
	bool canProgress = true;
	while (canProgress)
	{
		canProgress = false;
		for (int i = 1; i <= N; i++)
		{
			queryAndProcess(i, -1, canProgress, N, notFound, values, false);
			queryAndProcess(i, 1, canProgress, N, notFound, values, false);
			if (notFound.none()) break;
		}
	}
	canProgress = !notFound.none();
	while (canProgress)
	{
		canProgress = false;
		for (int i = 1; i <= N; i++)
		{
			queryAndProcess(i, -1, canProgress, N, notFound, values, true);
			queryAndProcess(i, 1, canProgress, N, notFound, values, true);
			if (notFound.none()) break;
		}
	}
	for (int i = 1; i <= N; i++)
	{
		if (values[i] == -1) throw;
		answer(i, values[i]);
	}
}

Compilation message

xylophone.cpp: In function 'void queryAndProcess(const int&, const int&, bool&, const int&, std::bitset<5001>&, vi&, const bool&)':
xylophone.cpp:54:7: warning: unused variable 'v2Opt2' [-Wunused-variable]
   54 |   int v2Opt2 = max(opt2, ma) - min(opt2, mi);
      |       ^~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 2 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 2 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 300 KB Output is correct
11 Correct 2 ms 288 KB Output is correct
12 Correct 2 ms 292 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 2 ms 208 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 2 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 2 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 300 KB Output is correct
11 Correct 2 ms 288 KB Output is correct
12 Correct 2 ms 292 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 2 ms 208 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 2 ms 296 KB Output is correct
17 Correct 7 ms 208 KB Output is correct
18 Correct 10 ms 308 KB Output is correct
19 Correct 13 ms 328 KB Output is correct
20 Correct 14 ms 328 KB Output is correct
21 Correct 17 ms 308 KB Output is correct
22 Correct 11 ms 328 KB Output is correct
23 Correct 9 ms 336 KB Output is correct
24 Correct 21 ms 316 KB Output is correct
25 Correct 10 ms 328 KB Output is correct
26 Correct 16 ms 316 KB Output is correct
27 Correct 20 ms 336 KB Output is correct
28 Correct 13 ms 208 KB Output is correct
29 Correct 9 ms 336 KB Output is correct
30 Correct 8 ms 312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 2 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 2 ms 208 KB Output is correct
8 Correct 2 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 300 KB Output is correct
11 Correct 2 ms 288 KB Output is correct
12 Correct 2 ms 292 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 2 ms 208 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 2 ms 296 KB Output is correct
17 Correct 7 ms 208 KB Output is correct
18 Correct 10 ms 308 KB Output is correct
19 Correct 13 ms 328 KB Output is correct
20 Correct 14 ms 328 KB Output is correct
21 Correct 17 ms 308 KB Output is correct
22 Correct 11 ms 328 KB Output is correct
23 Correct 9 ms 336 KB Output is correct
24 Correct 21 ms 316 KB Output is correct
25 Correct 10 ms 328 KB Output is correct
26 Correct 16 ms 316 KB Output is correct
27 Correct 20 ms 336 KB Output is correct
28 Correct 13 ms 208 KB Output is correct
29 Correct 9 ms 336 KB Output is correct
30 Correct 8 ms 312 KB Output is correct
31 Correct 34 ms 364 KB Output is correct
32 Correct 66 ms 460 KB Output is correct
33 Correct 107 ms 508 KB Output is correct
34 Correct 164 ms 660 KB Output is correct
35 Correct 158 ms 528 KB Output is correct
36 Correct 41 ms 564 KB Output is correct
37 Correct 580 ms 564 KB Output is correct
38 Correct 44 ms 588 KB Output is correct
39 Correct 146 ms 512 KB Output is correct
40 Correct 60 ms 624 KB Output is correct
41 Correct 125 ms 548 KB Output is correct
42 Correct 42 ms 484 KB Output is correct
43 Correct 555 ms 540 KB Output is correct
44 Correct 36 ms 508 KB Output is correct
45 Correct 71 ms 468 KB Output is correct
46 Correct 91 ms 492 KB Output is correct
47 Correct 53 ms 556 KB Output is correct
48 Correct 91 ms 520 KB Output is correct
49 Correct 169 ms 580 KB Output is correct
50 Correct 185 ms 660 KB Output is correct
51 Correct 52 ms 556 KB Output is correct
52 Correct 186 ms 452 KB Output is correct
53 Correct 140 ms 664 KB Output is correct
54 Correct 82 ms 492 KB Output is correct
55 Correct 70 ms 528 KB Output is correct
56 Correct 129 ms 580 KB Output is correct
57 Correct 99 ms 652 KB Output is correct
58 Correct 220 ms 556 KB Output is correct
59 Correct 114 ms 564 KB Output is correct
60 Correct 127 ms 548 KB Output is correct