Submission #781148

# Submission time Handle Problem Language Result Execution time Memory
781148 2023-07-12T19:30:03 Z Boas Xylophone (JOI18_xylophone) C++17
100 / 100
450 ms 660 KB
//#define _CRT_SECURE_NO_WARNINGS
//#include "grader.cpp"
#include "xylophone.h"
using namespace std;
#include <vector>
#include <bitset>
#include <unordered_map>
typedef vector<int16_t> vi;
typedef pair<int16_t, int16_t> pii;

struct pairhash
{
	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, int16_t, pairhash> queries;

int16_t ownQuery(int16_t a, int16_t b)
{
	if (queries.find({ a, b }) != queries.end())
	{
		return queries[{a, b}];
	}
	return queries[{a, b}] = query(a, b);
}

void queryAndProcess(const int16_t& i, const int16_t& d, bool& canProgress, const int16_t& 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;
	int16_t v = d > 0 ? ownQuery(i, i + d) : ownQuery(i + d, i);
	int16_t opt1 = values[i] + v;
	int16_t opt2 = values[i] - v;
	int16_t 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;
		int16_t v2 = d > 0 ? query(i - d, i + d) : query(i + d, i - d);
		int16_t ma = max(values[i - d], values[i]);
		int16_t mi = min(values[i - d], values[i]);
		int16_t v2Opt1 = max(opt1, ma) - min(opt1, mi);
		int16_t 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)
{
	int16_t a = 1, b = N;
	while (a < b)
	{
		int16_t k = (a + b) / 2;
		int16_t value = ownQuery(1, k);
		if (value == N - 1) b = k;
		else a = k + 1;
	}
	int16_t maxIndex = a;
	a = 1, b = maxIndex - 1;
	while (a < b)
	{
		int16_t k = (a + b + 1) / 2;
		int16_t value = ownQuery(k, maxIndex);
		if (value == N - 1) a = k;
		else b = k - 1;
	}
	int16_t oneIndex = a;
	bitset<5001> notFound;
	for (int16_t 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 (int16_t 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 (int16_t 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 (int16_t i = 1; i <= N; i++)
	{
		if (values[i] == -1) throw;
		answer(i, values[i]);
	}
}

Compilation message

xylophone.cpp: In function 'void queryAndProcess(const int16_t&, const int16_t&, bool&, const int16_t&, std::bitset<5001>&, vi&, const bool&)':
xylophone.cpp:53:11: warning: unused variable 'v2Opt2' [-Wunused-variable]
   53 |   int16_t 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 2 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 2 ms 208 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 1 ms 284 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 1 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 2 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 2 ms 208 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 1 ms 284 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 1 ms 208 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 2 ms 208 KB Output is correct
17 Correct 6 ms 308 KB Output is correct
18 Correct 10 ms 312 KB Output is correct
19 Correct 8 ms 208 KB Output is correct
20 Correct 14 ms 308 KB Output is correct
21 Correct 19 ms 300 KB Output is correct
22 Correct 15 ms 320 KB Output is correct
23 Correct 5 ms 320 KB Output is correct
24 Correct 18 ms 308 KB Output is correct
25 Correct 7 ms 208 KB Output is correct
26 Correct 16 ms 208 KB Output is correct
27 Correct 18 ms 208 KB Output is correct
28 Correct 12 ms 328 KB Output is correct
29 Correct 13 ms 308 KB Output is correct
30 Correct 10 ms 316 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 2 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 2 ms 208 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 2 ms 208 KB Output is correct
12 Correct 1 ms 284 KB Output is correct
13 Correct 2 ms 208 KB Output is correct
14 Correct 1 ms 208 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 2 ms 208 KB Output is correct
17 Correct 6 ms 308 KB Output is correct
18 Correct 10 ms 312 KB Output is correct
19 Correct 8 ms 208 KB Output is correct
20 Correct 14 ms 308 KB Output is correct
21 Correct 19 ms 300 KB Output is correct
22 Correct 15 ms 320 KB Output is correct
23 Correct 5 ms 320 KB Output is correct
24 Correct 18 ms 308 KB Output is correct
25 Correct 7 ms 208 KB Output is correct
26 Correct 16 ms 208 KB Output is correct
27 Correct 18 ms 208 KB Output is correct
28 Correct 12 ms 328 KB Output is correct
29 Correct 13 ms 308 KB Output is correct
30 Correct 10 ms 316 KB Output is correct
31 Correct 29 ms 348 KB Output is correct
32 Correct 61 ms 412 KB Output is correct
33 Correct 123 ms 660 KB Output is correct
34 Correct 165 ms 480 KB Output is correct
35 Correct 159 ms 444 KB Output is correct
36 Correct 47 ms 420 KB Output is correct
37 Correct 450 ms 468 KB Output is correct
38 Correct 31 ms 456 KB Output is correct
39 Correct 152 ms 420 KB Output is correct
40 Correct 83 ms 452 KB Output is correct
41 Correct 115 ms 456 KB Output is correct
42 Correct 43 ms 480 KB Output is correct
43 Correct 447 ms 476 KB Output is correct
44 Correct 42 ms 460 KB Output is correct
45 Correct 62 ms 484 KB Output is correct
46 Correct 91 ms 476 KB Output is correct
47 Correct 62 ms 456 KB Output is correct
48 Correct 84 ms 436 KB Output is correct
49 Correct 177 ms 412 KB Output is correct
50 Correct 200 ms 468 KB Output is correct
51 Correct 56 ms 472 KB Output is correct
52 Correct 214 ms 556 KB Output is correct
53 Correct 133 ms 504 KB Output is correct
54 Correct 89 ms 432 KB Output is correct
55 Correct 74 ms 416 KB Output is correct
56 Correct 118 ms 440 KB Output is correct
57 Correct 104 ms 592 KB Output is correct
58 Correct 281 ms 472 KB Output is correct
59 Correct 121 ms 452 KB Output is correct
60 Correct 148 ms 612 KB Output is correct