Submission #781149

# Submission time Handle Problem Language Result Execution time Memory
781149 2023-07-12T19:31:16 Z Boas Xylophone (JOI18_xylophone) C++17
100 / 100
479 ms 588 KB
//#define _CRT_SECURE_NO_WARNINGS
//#include "grader.cpp"
#include "xylophone.h"
using namespace std;
#include <vector>
#include <bitset>
#include <map>
typedef vector<int16_t> vi;
typedef pair<int16_t, int16_t> pii;

map<pii, int16_t> 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:44:11: warning: unused variable 'v2Opt2' [-Wunused-variable]
   44 |   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 1 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 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 1 ms 208 KB Output is correct
12 Correct 2 ms 208 KB Output is correct
13 Correct 1 ms 208 KB Output is correct
14 Correct 2 ms 280 KB Output is correct
15 Correct 2 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 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 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 1 ms 208 KB Output is correct
12 Correct 2 ms 208 KB Output is correct
13 Correct 1 ms 208 KB Output is correct
14 Correct 2 ms 280 KB Output is correct
15 Correct 2 ms 208 KB Output is correct
16 Correct 3 ms 208 KB Output is correct
17 Correct 4 ms 304 KB Output is correct
18 Correct 7 ms 332 KB Output is correct
19 Correct 13 ms 308 KB Output is correct
20 Correct 14 ms 312 KB Output is correct
21 Correct 14 ms 208 KB Output is correct
22 Correct 13 ms 320 KB Output is correct
23 Correct 8 ms 320 KB Output is correct
24 Correct 20 ms 312 KB Output is correct
25 Correct 9 ms 304 KB Output is correct
26 Correct 16 ms 316 KB Output is correct
27 Correct 22 ms 300 KB Output is correct
28 Correct 11 ms 308 KB Output is correct
29 Correct 15 ms 364 KB Output is correct
30 Correct 15 ms 324 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 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 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 1 ms 208 KB Output is correct
12 Correct 2 ms 208 KB Output is correct
13 Correct 1 ms 208 KB Output is correct
14 Correct 2 ms 280 KB Output is correct
15 Correct 2 ms 208 KB Output is correct
16 Correct 3 ms 208 KB Output is correct
17 Correct 4 ms 304 KB Output is correct
18 Correct 7 ms 332 KB Output is correct
19 Correct 13 ms 308 KB Output is correct
20 Correct 14 ms 312 KB Output is correct
21 Correct 14 ms 208 KB Output is correct
22 Correct 13 ms 320 KB Output is correct
23 Correct 8 ms 320 KB Output is correct
24 Correct 20 ms 312 KB Output is correct
25 Correct 9 ms 304 KB Output is correct
26 Correct 16 ms 316 KB Output is correct
27 Correct 22 ms 300 KB Output is correct
28 Correct 11 ms 308 KB Output is correct
29 Correct 15 ms 364 KB Output is correct
30 Correct 15 ms 324 KB Output is correct
31 Correct 31 ms 364 KB Output is correct
32 Correct 68 ms 372 KB Output is correct
33 Correct 115 ms 484 KB Output is correct
34 Correct 172 ms 580 KB Output is correct
35 Correct 168 ms 480 KB Output is correct
36 Correct 32 ms 496 KB Output is correct
37 Correct 479 ms 480 KB Output is correct
38 Correct 46 ms 460 KB Output is correct
39 Correct 143 ms 508 KB Output is correct
40 Correct 95 ms 428 KB Output is correct
41 Correct 129 ms 588 KB Output is correct
42 Correct 32 ms 540 KB Output is correct
43 Correct 476 ms 548 KB Output is correct
44 Correct 26 ms 528 KB Output is correct
45 Correct 68 ms 504 KB Output is correct
46 Correct 84 ms 500 KB Output is correct
47 Correct 61 ms 448 KB Output is correct
48 Correct 91 ms 492 KB Output is correct
49 Correct 169 ms 516 KB Output is correct
50 Correct 172 ms 488 KB Output is correct
51 Correct 60 ms 496 KB Output is correct
52 Correct 204 ms 496 KB Output is correct
53 Correct 125 ms 512 KB Output is correct
54 Correct 84 ms 456 KB Output is correct
55 Correct 76 ms 476 KB Output is correct
56 Correct 124 ms 456 KB Output is correct
57 Correct 101 ms 456 KB Output is correct
58 Correct 277 ms 520 KB Output is correct
59 Correct 113 ms 500 KB Output is correct
60 Correct 143 ms 464 KB Output is correct