Submission #591563

# Submission time Handle Problem Language Result Execution time Memory
591563 2022-07-07T15:05:21 Z tutis Flight to the Ford (BOI22_communication) C++17
76 / 100
6300 ms 2180 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 12 ms 1756 KB Output is correct
2 Correct 8 ms 1764 KB Output is correct
3 Correct 13 ms 1740 KB Output is correct
4 Correct 10 ms 1688 KB Output is correct
5 Correct 15 ms 1704 KB Output is correct
6 Correct 29 ms 1780 KB Output is correct
7 Correct 36 ms 1660 KB Output is correct
# Verdict Execution time Memory Grader output
1 Partially correct 1245 ms 1788 KB Output is partially correct
2 Partially correct 635 ms 1916 KB Output is partially correct
3 Partially correct 710 ms 1688 KB Output is partially correct
4 Partially correct 1222 ms 1848 KB Output is partially correct
5 Partially correct 1172 ms 1840 KB Output is partially correct
6 Partially correct 956 ms 1768 KB Output is partially correct
7 Partially correct 3909 ms 1956 KB Output is partially correct
8 Partially correct 6300 ms 2140 KB Output is partially correct
9 Partially correct 5385 ms 2120 KB Output is partially correct
10 Partially correct 5136 ms 1992 KB Output is partially correct
11 Partially correct 5457 ms 1984 KB Output is partially correct
12 Partially correct 5226 ms 2128 KB Output is partially correct
13 Partially correct 5269 ms 2112 KB Output is partially correct
14 Partially correct 5212 ms 2180 KB Output is partially correct
15 Partially correct 2721 ms 1848 KB Output is partially correct
16 Partially correct 6022 ms 1824 KB Output is partially correct
17 Partially correct 1394 ms 2068 KB Output is partially correct
18 Partially correct 1456 ms 1916 KB Output is partially correct
19 Partially correct 1379 ms 1972 KB Output is partially correct
20 Partially correct 1470 ms 1944 KB Output is partially correct
21 Partially correct 1345 ms 1916 KB Output is partially correct
22 Partially correct 1416 ms 1936 KB Output is partially correct
23 Partially correct 2377 ms 1936 KB Output is partially correct
24 Correct 15 ms 1744 KB Output is correct
25 Correct 6 ms 1680 KB Output is correct
26 Correct 17 ms 1656 KB Output is correct
27 Correct 12 ms 1704 KB Output is correct
28 Correct 9 ms 1768 KB Output is correct
29 Correct 21 ms 1828 KB Output is correct
30 Correct 41 ms 1740 KB Output is correct