Submission #591561

# Submission time Handle Problem Language Result Execution time Memory
591561 2022-07-07T15:03:14 Z tutis Flight to the Ford (BOI22_communication) C++17
76 / 100
5783 ms 2204 KB
#pragma GCC optimize ("O3")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int prob = 1;
#include "communication.h"
int dec3(int x)//4 bit x
{
	vector<int>ger;
	for (int m = 0; m < 16; m++)
	{
		bool ok = true;
		int v = m;
		while (v != 0)
		{
			if (v % 4 == 3)
				ok = false;
			v /= 2;
		}
		if (ok)
			ger.push_back(m);
	}
	int V[4] = {0, 0, 6, 9};
	for (int i = 1; i <= 3; i++)
	{
		bool ok = true;
		for (int j : ger)
			if (x == (V[i] ^ j))
				ok = false;
		if (ok)
			return i;
	}
	assert(false);
	return 0;
}
int enc3(int X)
{
	int v = 0;
	if (X == 1)
		v = 0;
	else if (X == 2)
		v = 6;
	else if (X == 3)
		v = 9;
	int val = 0;
	for (int t = 0; t < 4; t++)
	{
		val += send(v % 2) << t;
		v /= 2;
	}
	return dec3(val);
}
string S4[4] = {"1000",
                "0001",
                "1110",
                "0111"
               };
int conv4(int i)
{
	int v = 0;
	int p = 1;
	for (char c : S4[i])
	{
		if (c == '1')
			v += p;
		p *= 2;
	}
	return v;
}
bitset<4> dec4(int x)//4 bit x
{
	vector<int>ger;
	for (int m = 0; m < 16; m++)
	{
		bool ok = true;
		int v = m;
		while (v != 0)
		{
			if (v % 4 == 3)
				ok = false;
			v /= 2;
		}
		if (ok)
			ger.push_back(m);
	}
	bitset<4>ret;
	for (int i = 0; i < 4; i++)
	{
		for (int j : ger)
			if (x == (conv4(i) ^ j))
				ret[i] = true;
	}
	return ret;
}
bitset<4> enc4(int X)
{
	int v = conv4(X);
	int val = 0;
	for (int t = 0; t < 4; t++)
	{
		val += (send(v % 2) << t);
		v /= 2;
	}
	auto ret = dec4(val);
	assert(ret[X] == true);
	return ret;
}
const int bitcnt = 12;
int bitcnt1 = 14;
bitset < 1 << bitcnt > decB(int x) //4 bit x
{
	vector<int>ger;
	for (int m = 0; m < (1 << bitcnt1); m++)
	{
		bool ok = true;
		int v = m;
		while (v != 0)
		{
			if (v % 4 == 3)
				ok = false;
			v /= 2;
		}
		if (ok)
			ger.push_back(m);
	}
	bitset < 1 << bitcnt > ret;
	int s = 0;
	int i = 0;
	function<void(bool)>f = [&](bool gal)
	{
		if (i == bitcnt1)
		{
			ret[x ^ s] = true;
		}
		else
		{
			int del = 1 << i;
			i++;
			if (gal)
			{
				f(true);
				s += del;
				f(false);
				s -= del;
			}
			else
				f(true);
			i--;
		}
	};
	f(true);
	return ret;
}
bitset < 1 << bitcnt > encB(int v)
{
	int val = 0;
	int vv = v;
	for (int t = 0; t < bitcnt1; t++)
	{
		val += (send(v % 2) << t);
		v /= 2;
	}
	auto ret = decB(val);
	assert(ret[vv] == true);
	return ret;
}
void encode(int N, int X)
{
	if (N < 3)
		return;
	if (N == 3)
	{
		enc3(X);
		return;
	}
	for (int bc = bitcnt; bc >= 6; bc--)
		if (N > (1 << bc))
		{
			while (N % (1 << bc) != 0)
				N++;
			int v = N / (1 << bc);
			int vv = (X - 1) / v;
			vv = min(vv, (1 << bc) - 1);
			bitcnt1 = bc;
			bitset < (1 << bitcnt) > gal = encB(vv);
			int s = 0;
			for (int i = 0; i < (1 << bc); i++)
			{
				if (gal[i])
					s += v;
				else if (i < vv)
					X -= v;
			}
			encode(s, X);
			return;
		}
	if (N >= 4)
	{
		while (N % 4 != 0)
			N++;
		int v = N / 4;
		int vv = (X - 1) / v;
		vv = min(vv, 3);
		bitset<4>gal = enc4(vv);
		int s = 0;
		for (int i = 0; i < 4; i++)
		{
			if (gal[i])
			{
				s += v;
			}
			else if (i < vv)
				X -= v;
		}
		encode(s, X);
		return;
	}
}
pair<int, int> decode(int N)
{
	if (N == 1)
		return {1, 1};
	if (N == 2)
		return {1, 2};
	if (N == 3)
	{
		int val = 0;
		for (int t = 0; t < 4; t++)
			val += receive() << t;
		int v = dec3(val);
		pair<int, int>ans = {1, 2};
		if (v == 1)
			ans.first = 3;
		if (v == 2)
			ans.second = 3;
		return ans;
	}
	for (int bc = bitcnt; bc >= 6; bc--)
		if (N > (1 << bc))
		{
			int N1 = N;
			while (N % (1 << bc) != 0)
				N++;
			int re = 0;
			for (int t = 0; t < bc; t++)
				re += receive() << t;
			bitcnt1 = bc;
			bitset < (1 << bitcnt) > gal = decB(re);
			int v = N / (1 << bc);
			int s = 0;
			for (int i = 0; i < (1 << bc); i++)
				if (gal[i])
					s += v;
			pair<int, int>r = decode(s);
			int sum = 0;
			bool ger1 = false;
			bool ger2 = false;
			for (int i = 0; i < (1 << bc); i++)
			{
				if (gal[i])
				{
					if (r.first > sum && r.first <= sum + v && ger1 == false)
					{
						for (int j = 0; j < i; j++)
						{
							if (gal[j] == false)
								r.first += v;
						}
						ger1 = true;
					}
					if (r.second > sum && r.second <= sum + v && ger2 == false)
					{
						for (int j = 0; j < i; j++)
						{
							if (gal[j] == false)
								r.second += v;
						}
						ger2 = true;
					}
					sum += v;
				}
			}
			r.first = min(r.first, N1);
			r.second = min(r.second, N1);
			return r;
		}
	if (N >= 4)
	{
		int N1 = N;
		while (N % 4 != 0)
			N++;
		int re = 0;
		for (int t = 0; t < 4; t++)
			re += receive() << t;
		bitset<4> gal = dec4(re);
		int v = N / 4;
		int s = 0;
		for (int i = 0; i < 4; i++)
			if (gal[i])
				s += v;
		pair<int, int>r = decode(s);
		int sum = 0;
		bool ger1 = false;
		bool ger2 = false;
		for (int i = 0; i < 4; i++)
		{
			if (gal[i])
			{
				if (r.first > sum && r.first <= sum + v && ger1 == false)
				{
					for (int j = 0; j < i; j++)
						if (gal[j] == false)
							r.first += v;
					ger1 = true;
				}
				if (r.second > sum && r.second <= sum + v && ger2 == false)
				{
					for (int j = 0; j < i; j++)
						if (gal[j] == false)
							r.second += v;
					ger2 = true;
				}
				sum += v;
			}
		}
		r.first = min(r.first, N1);
		r.second = min(r.second, N1);
		return r;
	}
	return { -1, -1};
}
// int main()
// {
// 	for (int t = 0; t < 1000; t++)
// 	{
// 		int N = 1e9;
// 		int val = (t % N) + 1;
// 		encode(N, val);
// 		pair<int, int>v = decode(N);
// 		cout << v.first << " " << v.second << endl;
// 		assert(v.first == val || v.second == val);
// 	}
// }
# Verdict Execution time Memory Grader output
1 Correct 6 ms 1716 KB Output is correct
2 Correct 9 ms 1688 KB Output is correct
3 Correct 13 ms 1756 KB Output is correct
4 Correct 11 ms 1756 KB Output is correct
5 Correct 16 ms 1708 KB Output is correct
6 Correct 29 ms 1888 KB Output is correct
7 Correct 36 ms 1668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Partially correct 1235 ms 1812 KB Output is partially correct
2 Partially correct 585 ms 1724 KB Output is partially correct
3 Partially correct 760 ms 1680 KB Output is partially correct
4 Partially correct 1299 ms 1736 KB Output is partially correct
5 Partially correct 998 ms 1700 KB Output is partially correct
6 Partially correct 1057 ms 1800 KB Output is partially correct
7 Partially correct 3562 ms 1924 KB Output is partially correct
8 Partially correct 5783 ms 2152 KB Output is partially correct
9 Partially correct 5103 ms 2204 KB Output is partially correct
10 Partially correct 5056 ms 1992 KB Output is partially correct
11 Partially correct 5177 ms 2012 KB Output is partially correct
12 Partially correct 5097 ms 1964 KB Output is partially correct
13 Partially correct 4971 ms 2088 KB Output is partially correct
14 Partially correct 4996 ms 2016 KB Output is partially correct
15 Partially correct 2647 ms 1960 KB Output is partially correct
16 Partially correct 5640 ms 2112 KB Output is partially correct
17 Partially correct 1366 ms 1916 KB Output is partially correct
18 Partially correct 1422 ms 1828 KB Output is partially correct
19 Partially correct 1421 ms 1980 KB Output is partially correct
20 Partially correct 1341 ms 1912 KB Output is partially correct
21 Partially correct 1465 ms 1868 KB Output is partially correct
22 Partially correct 1440 ms 1924 KB Output is partially correct
23 Partially correct 2272 ms 1972 KB Output is partially correct
24 Correct 9 ms 1756 KB Output is correct
25 Correct 10 ms 1724 KB Output is correct
26 Correct 17 ms 1752 KB Output is correct
27 Correct 12 ms 1716 KB Output is correct
28 Correct 12 ms 1708 KB Output is correct
29 Correct 31 ms 1916 KB Output is correct
30 Correct 50 ms 1708 KB Output is correct