Submission #794652

#	Time	Username	Problem	Language	Result	Execution time	Memory
794652		Johann	Dungeons Game (IOI21_dungeons)	C++17	100 / 100	2971 ms	1014660 KiB

dungeons

#include "dungeons.h"
#include "bits/stdc++.h"
using namespace std;

typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<ll> vi;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<vvpii> vvvpii;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

int N;
const ll INF = 1LL << 60;
vi S, P;
vi Svalues;
vector<int> W, L;
vi dpWin;
struct info
{
	int node;
	ll gain;
	ll needed;
};
typedef vector<info> vinf;
typedef vector<vinf> vvinf;
typedef vector<vvinf> vvvinf;
vvvinf lifts;

void init(int n, std::vector<int> s, std::vector<int> p, std::vector<int> w, std::vector<int> l)
{
	N = n;
	S.resize(N), P.resize(N);
	W = w, L = l;
	for (int i = 0; i < N; ++i)
		S[i] = s[i], P[i] = p[i];

	int maxi = *max_element(all(S));
	Svalues.push_back(1);
	while (Svalues.back() <= maxi)
		Svalues.push_back(Svalues.back() * 8);

	dpWin.assign(N + 1, INF);
	dpWin[N] = 0;
	for (int i = N - 1; i >= 0; --i)
		dpWin[i] = S[i] + dpWin[W[i]];

	lifts.resize(sz(Svalues) - 1); // assuming  having reached Svalues[i] but not Svalues[i + 1]

	for (int ii = 0; ii < sz(lifts); ++ii)
	{
		// potentially to small for a good lift
		lifts[ii] = vvinf(N, vinf(ceil(log2(Svalues[ii]) + 1)));
		for (int i = 0; i < N; ++i)
			if (S[i] >= Svalues[ii])
				lifts[ii][i][0] = {L[i], P[i], min(Svalues[ii + 1], S[i])};
			else
				lifts[ii][i][0] = {W[i], S[i], Svalues[ii + 1]};

		for (int j = 1; j < sz(lifts[ii].back()); ++j)
			for (int i = 0; i < N; ++i)
			{
				int mid = lifts[ii][i][j - 1].node;
				if (mid == N)
					lifts[ii][i][j] = lifts[ii][i][j - 1];
				else
					lifts[ii][i][j] = {lifts[ii][mid][j - 1].node,
									   lifts[ii][mid][j - 1].gain + lifts[ii][i][j - 1].gain,
									   min(lifts[ii][i][j - 1].needed, lifts[ii][mid][j - 1].needed - lifts[ii][i][j - 1].gain)};
			}
	}

	return;
}

void step(int &node, ll &z)
{
	if (S[node] > z)
	{
		z += P[node];
		node = L[node];
	}
	else
	{
		z += S[node];
		node = W[node];
	}
}
long long simulate(int x, int z)
{
	ll ans = z;
	int ii = 0;
	while (ii < sz(lifts) && x != N)
	{
		if (ans >= Svalues[ii + 1])
			++ii;
		else
		{
			assert(ans >= Svalues[ii]);

			for (int j = sz(lifts[ii][x]) - 1; j >= 0 && x != N; --j)
			{
				if (lifts[ii][x][j].needed > ans)
				{
					ans += lifts[ii][x][j].gain;
					x = lifts[ii][x][j].node;
				}
			}
			if (x != N)
				step(x, ans);
		}
	}

	return ans + dpWin[x];
}

• Subtask 1: 11 / 11
• Subtask 2: 26 / 26
• Subtask 3: 13 / 13
• Subtask 4: 12 / 12
• Subtask 5: 27 / 27
• Subtask 6: 11 / 11