Submission #1268366

#	Time	Username	Problem	Language	Result	Execution time	Memory
1268366		madamadam3	이주 (IOI25_migrations)	C++20	30 / 100	205 ms	22864 KiB

migrations

#include "migrations.h"
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
using pi = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;

void dfs(int u, int p, vi &dist, vvi &adj) {
  for (auto &v : adj[u]) {
    if (v == p) continue;
    dist[v] = dist[u] + 1;
    dfs(v, u, dist, adj);
  }
}

int furthest_from(int u, int n, vvi &adj) {
  vector<int> dist(n);
  dfs(u, u, dist, adj);

  int f = 0; for (int i = 0; i < n; i++) if (dist[i] > dist[f]) f = i;
  return f;
}

int dist_between(int n, int u, int v, vvi &adj) {
  vector<int> dist(n);
  dfs(u, u, dist, adj);

  return dist[v];
}

pi furthest_pair(int n, vvi &adj) {
  vector<int> dist(n);
  dfs(0, 0, dist, adj);
  int f1 = 0; for (int i = 0; i < n; i++) if (dist[i] > dist[f1]) f1 = i;
  dist = vi(n, 0);
  dfs(f1, f1, dist, adj);
  int f2 = 0; for (int i = 0; i < n; i++) if (dist[i] > dist[f2]) f2 = i;

  return {min(f1, f2), max(f1, f2)};
}

vi to_base(ll A, ll b, int pad = 0) {
  vi ans;
  while (A > 0LL) {
    ans.push_back(A % b);
    A /= b;
  }
  
  while (ans.size() < pad) ans.push_back(0);
  return ans;
}

ll from_base(vi bx, ll b) {
  ll po = 1;
  ll ans = 0;

  for (auto &el : bx) {
    ans += ll(el) * po;
    po *= b;
  }

  return ans;
}

const int CN = 57, CK = 4;
int TOTAL_MASKS = 0;

vector<uint64_t> masks;
unordered_map<uint64_t, int> umap;

void initialise_ranks(int N, int K) {
  TOTAL_MASKS = 0;
  masks.clear();
  uint64_t initial = 0;

  auto dfs = [&](const auto &self, uint64_t cur, int idx, int rem) {
  if (rem == 0) {
      masks.push_back(cur);
      umap[cur] = TOTAL_MASKS++;
      return;
    }

    for (int i = idx; i < N; i++) {
      uint64_t nxt = cur | (1LL << i);
      self(self, nxt, i+1, rem-1);
    }
  };

  dfs(dfs, initial, 0, K);
}

vvi adj;
pi fr;
int diam = 0, cpos = 0;
int U = 0, V = 0, rU = 0, rV = 0;
int uv_comb = 0;
vector<int> change_types;

int x = 0, actual_step = 0;
bool changed = false;
int send_message(int n, int i, int Pi) {
  if (i <= 1) {
    adj.assign(n+1, vi());
    initialise_ranks(CN, CK);
  }

  x = n - 66;

  adj[Pi].push_back(i);
  adj[i].push_back(Pi);

  if (i < x) return 0;
  int step = actual_step++;

  if (step == 0) {
    fr = furthest_pair(n, adj); diam = dist_between(n, fr.first, fr.second, adj); 
    U = fr.first; V = fr.second;
    rU = U, rV = V;
    uv_comb = 10000 * U + V;
  }

  pi cfr = furthest_pair(n, adj);
  int u = cfr.first, v = cfr.second;
  int cdiam = dist_between(n, u, v, adj);

  int type = cdiam == diam ? 0 : (dist_between(n, i, V, adj) == cdiam ? 1 : 2); // if the diameter changed, did we switch u or v
  change_types.push_back(type);
  diam = cdiam;

  if (type == 1) {
    U = i;
  } else if (type == 2) {
    V = i;
    if (step < 14) U = V;
  }

  int MSB = uv_comb / TOTAL_MASKS;
  int LSB = uv_comb % TOTAL_MASKS;

  uint64_t mask1 = masks[LSB];
  vector<int> uvmask(57, 0); 
  int ones_seen = 0; for (int i = 0; i < 57; i++) {
    if (!(mask1 & (1LL << i))) continue;
    vi l4 = to_base(MSB, 4, 4);

    uvmask[i] = l4[ones_seen]+1;
    ones_seen++;
  }

  if (step < 57) {
    return uvmask[step];
  } else if (step < 60) {
    if (type == 1) return 4;

    int px = 63; for (int k = 0; k < 57; k++) if (change_types[k] == 1) px = k;
    vi p4 = to_base(px, 4, 3);

    return p4[step - 57];
  } else if (step < 63) {
    if (type == 2) return 4;

    int px = 63; for (int k = 0; k < 60; k++) if (change_types[k] == 2) px = k;
    vi p4 = to_base(px, 4, 3);

    return p4[step - 60];
  } else if (step == 63) {
    if (u == x+60) {
      if (type == 0) return 3;
      else if (type == 1) return 1; // double overlap = kill this state
      else return 4;
    } else {
      if (type == 0) return 0;
      else if (type == 1) return 1;
      else return 2;
    }
  } else if (step == 64) {
    if (u == x+61) {
      if (type == 0) return 3;
      else if (type == 1) return 1; // double overlap = kill this state
      else return 4;
    } else {
      if (type == 0) return 0;
      else if (type == 1) return 1;
      else return 2;
    }
  } else if (step == 65) {
    if (u == x+62) {
      if (type == 0) return 3;
      else if (type == 1) return 1; // double overlap = kill this state
      else return 4;
    } else {
      if (type == 0) return 0;
      else if (type == 1) return 1;
      else return 2;
    } 
  } else {
    return 0; // shouldn't happen
  }
}

// 0 - no change, 1 - change u, 2 - change v
pi longest_path(vi S) {
  initialise_ranks(CN, CK);

  int n = S.size();
  int x = n - 66;

  vi nonzero; uint64_t mask = 0;
  for (ll i = 0; i < 57; i++) {
    if (S[x+i] == 0) continue;

    nonzero.push_back(S[x+i]-1);
    mask |= 1LL << i;
  }

  int MSB = from_base(nonzero, 4), LSB = umap[mask];
  int combined = MSB * TOTAL_MASKS + LSB;
  
  int u = combined / 10'000, v = combined % 10000;

  if (S[x+57] == 4 || S[x+58] == 4 || S[x+59] == 4) {
    for (int i = 57; i < 60; i++) if (S[x+i] == 4) u = x+i;
  } else {
    int um = from_base({S[x+57], S[x+58], S[x+59]}, 4);
    if (um != 63) u = x + um;
  }

  if (S[x+60] == 4 || S[x+61] == 4 || S[x+62] == 4) {
    for (int i = 60; i < 63; i++) if (S[x+i] == 4) v = x+i;
  } else {
    int vm = from_base({S[x+60], S[x+61], S[x+62]}, 4);
    if (vm != 63) v = x + vm;
  }

  if (S[x+63] == 0) {}
  else if (S[x+63] == 1) u = x + 63;
  else if (S[x+63] == 2) v = x + 63;
  else if (S[x+63] == 3) u = x + 60;
  else if (S[x+63] == 4) {u = x + 60; v = x + 63;}

  if (S[x+64] == 0) {}
  else if (S[x+64] == 1) u = x + 64;
  else if (S[x+64] == 2) v = x + 64;
  else if (S[x+64] == 3) u = x + 61;
  else if (S[x+64] == 4) {u = x + 61; v = x + 64;}

  if (S[x+65] == 0) {}
  else if (S[x+65] == 1) u = x + 65;
  else if (S[x+65] == 2) v = x + 65;
  else if (S[x+65] == 3) u = x + 62;
  else if (S[x+65] == 4) {u = x + 62; v = x + 65;}

  int A = u, B = v;
  return {A, B}; 
}

• Subtask 0: 0 / 0
• Subtask 1: 30 / 30
• Subtask 2: 0 / 70