Submission #591836

# Submission time Handle Problem Language Result Execution time Memory
591836 2022-07-08T01:55:51 Z tutis Flight to the Ford (BOI22_communication) C++17
100 / 100
3393 ms 11016 KB
#pragma GCC optimize ("O3")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
int prob = 500;
#include "communication.h"
struct intervalset
{
	int sz = 0;
	vector<pair<int, int>>S;//sorted, disjoint
	intervalset()
	{

	}
	intervalset(int N)
	{
		sz = N;
		S.push_back({1, N});
	}
	void append(pair<int, int> v)
	{
		sz += v.second - v.first + 1;
		if (S.empty())
			S.push_back(v);
		else {
			assert(v.first > S.back().second);
			if (v.first == S.back().second + 1)
				S.back().second = v.second;
			else
				S.push_back(v);
		}
	}
	pair<intervalset, intervalset> split(int k)
	{	//k,sz-k
		intervalset A;
		intervalset B;
		for (pair<int, int>i : S)
		{
			if (i.second - i.first + 1 <= k)
			{
				A.append(i);
				k -= i.second - i.first + 1;
			}
			else if (k <= 0)
			{
				B.append(i);
			}
			else
			{
				A.append({i.first, i.first + k - 1});
				B.append({i.first + k, i.second});
				k = 0;
			}
		}
		return {A, B};
	}
	int kth(int k)
	{
		for (pair<int, int>i : S)
		{
			if (i.second - i.first + 1 < k)
			{
				k -= i.second - i.first + 1;
			}
			else
			{
				return i.first + (k - 1);
			}
		}
		assert(false);
		return 0;
	}
	int kelintas(int x)
	{
		int r = 0;
		for (pair<int, int>i : S)
		{
			if (i.second < x)
				r += (i.second - i.first + 1);
			else if (x < i.first)
				return 0;
			else
				return r + (x - i.first + 1);
		}
		return 0;
	}
	intervalset(const intervalset &A, const intervalset &B)
	{
		const vector<pair<int, int>>&a = A.S;
		const vector<pair<int, int>>&b = B.S;
		int i = 0;
		int j = 0;
		while (i < (int)a.size() && j < (int)b.size())
		{
			if (a[i].first < b[j].first)
				append(a[i++]);
			else
				append(b[j++]);
		}
		while (i < (int)a.size())
			append(a[i++]);
		while (j < (int)b.size())
			append(b[j++]);
	}
};
const int mxsum = 5;
pair<int, pair<int, int>> K[mxsum][mxsum];
bool prec = false;
pair<int, int> getbest(int A, int B)
{
	assert(A + B < mxsum);
	if (prec == false)
	{
		prec = true;
		for (int sum = 0; sum < mxsum; sum++)
			for (int a = 0; a <= sum; a++)
			{
				int b = sum - a;
				K[a][b] = {1000, {0, 0}};
			}
		for (int sum = 0; sum < mxsum; sum++)
		{
			if (sum <= 2)
			{
				for (int a = 0; a <= sum; a++) {
					int b = sum - a;
					K[a][b] = {0, {0, 0}};
				}
			}
			else {
				int rep = 1;
				if (sum <= 10)
					rep = 10;
				for (int r = 0; r < rep; r++)
					for (int a = 0; a <= sum; a++)
					{
						int b = sum - a;

						for (int a0 = 0; a0 <= a; a0++)
						{
							for (int b0 = 0; b0 <= b; b0++)
							{
								int a1 = a - a0;
								int b1 = b - b0;

								int a_ = a0 + b0;
								int b_ = a1;

								int a__ = a1 + b1;
								int b__ = a0;
								pair<int, pair<int, int>> gal =
								{1 + max(K[a_][b_].first, K[a__][b__].first), {a0, b0}};
								K[a][b] = min(K[a][b], gal);
							}
						}
					}
			}
		}
	}
	return K[A][B].second;
}
vector<pair<int, int>>eil;
void encode(int N, int X)
{
	intervalset A(N);
	intervalset B;
	mt19937 rng(0);
	while (A.sz + B.sz > 2)
	{
		eil.push_back({A.sz, B.sz});
		int a0 = A.sz / 2;
		int b0 = B.sz / 2;
		if (A.sz + B.sz < mxsum)
		{
			pair<int, int>c = getbest(A.sz, B.sz);
			a0 = c.first;
			b0 = c.second;
		}
		eil.push_back({a0, b0});
		eil.push_back({0, 0});
		intervalset C(A, B);
		int ka = A.kelintas(X);
		int kb = B.kelintas(X);
		int s = 1;
		if (ka != 0 && ka <= a0)
			s = 0;
		if (kb != 0 && kb <= b0)
			s = 0;
		pair<intervalset, intervalset>A_ = A.split(a0);
		pair<intervalset, intervalset>B_ = B.split(b0);
		int r = send(s);
		if (r == 0)
		{
			A = intervalset(A_.first, B_.first);
			B = A_.second;
		}
		else
		{
			A = intervalset(A_.second, B_.second);
			B = A_.first;
		}
	}
}
pair<int, int> decode(int N)
{
	intervalset A(N);
	intervalset B;
	mt19937 rng(0);
	while (A.sz + B.sz > 2)
	{
		int b0 = B.sz / 2;
		int a0 = A.sz / 2;
		if (A.sz + B.sz < mxsum)
		{
			pair<int, int>c = getbest(A.sz, B.sz);
			a0 = c.first;
			b0 = c.second;
		}
		pair<intervalset, intervalset>A_ = A.split(a0);
		pair<intervalset, intervalset>B_ = B.split(b0);
		int r = receive();
		if (r == 0)
		{
			A = intervalset(A_.first, B_.first);
			B = A_.second;
		}
		else
		{
			A = intervalset(A_.second, B_.second);
			B = A_.first;
		}
	}
	if (A.sz == 0)
		return {B.S[0].first, B.S.back().second};
	if (B.sz == 0)
		return {A.S[0].first, A.S.back().second};
	return {A.S[0].first, B.S[0].first};
}
// int main()
// {
// 	int mx = 0;
// 	vector<pair<int, int>>ilg;
// 	for (int test = 0; test < 1000; test++)
// 	{
// 		int N = 1e9;
// 		int X = (asdasdasdasdasd() % N) + 1;
// 		encode(N, X);
// 		pair<int, int>a = decode(N);
// 		assert(a.first >= 1 && a.first <= N && a.second >= 1 && a.second <= N);
// 		assert(a.first == X || a.second == X);
// 		if (kiekis > mx)
// 		{
// 			ilg = eil;
// 			mx = kiekis;
// 		}
// 		kiekis = 0;
// 		eil.clear();
// 	}
// }
# Verdict Execution time Memory Grader output
1 Correct 5 ms 1728 KB Output is correct
2 Correct 9 ms 1636 KB Output is correct
3 Correct 10 ms 1752 KB Output is correct
4 Correct 7 ms 1888 KB Output is correct
5 Correct 7 ms 1740 KB Output is correct
6 Correct 27 ms 1960 KB Output is correct
7 Correct 22 ms 1828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 557 ms 3128 KB Output is correct
2 Correct 349 ms 2296 KB Output is correct
3 Correct 352 ms 3068 KB Output is correct
4 Correct 746 ms 4036 KB Output is correct
5 Correct 762 ms 2896 KB Output is correct
6 Correct 328 ms 3052 KB Output is correct
7 Correct 1997 ms 6340 KB Output is correct
8 Correct 3393 ms 11016 KB Output is correct
9 Correct 2815 ms 8672 KB Output is correct
10 Correct 2897 ms 8552 KB Output is correct
11 Correct 2604 ms 8592 KB Output is correct
12 Correct 2828 ms 8416 KB Output is correct
13 Correct 2721 ms 8704 KB Output is correct
14 Correct 3017 ms 8500 KB Output is correct
15 Correct 1548 ms 6448 KB Output is correct
16 Correct 3084 ms 10304 KB Output is correct
17 Correct 722 ms 4412 KB Output is correct
18 Correct 697 ms 4204 KB Output is correct
19 Correct 752 ms 4208 KB Output is correct
20 Correct 786 ms 4320 KB Output is correct
21 Correct 857 ms 4128 KB Output is correct
22 Correct 763 ms 4080 KB Output is correct
23 Correct 1271 ms 4264 KB Output is correct
24 Correct 8 ms 1784 KB Output is correct
25 Correct 11 ms 1840 KB Output is correct
26 Correct 16 ms 1832 KB Output is correct
27 Correct 8 ms 1892 KB Output is correct
28 Correct 11 ms 1768 KB Output is correct
29 Correct 20 ms 1968 KB Output is correct
30 Correct 27 ms 1848 KB Output is correct