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Submission #509819

# Submission time Handle Problem Language Result Execution time Memory
509819 2022-01-14T10:48:35 Z 600Mihnea Archery (IOI09_archery) C++17
94 / 100
 2000 ms 34812 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 2 * 200000 + 7;
const int INF = (int) 1e9 + 7;
int n;
int r;
int my_rank;
int init_ord[N];
int ord[N];
int winner[N];
int loser[N];
vector<int> guys[N];
bool wannap;
int thesol[N];

int rep(int x) {
  x %= n;
  if (x < 0) x += n;
  return x;
}

enum TYPE {BIG, SMALL, EQUAL};

int cnt_big[N];
int cnt_equal[N];

TYPE type[N];

int get_smart(int x) {
  if (my_rank == 0) {
    return 0;
  }
  if (my_rank <= n) {
    int pos = 2 * x;
    ord[pos] = my_rank;
    for (int i = 0; i < pos; i++) {
      ord[i] = init_ord[i];
    }
    for (int i = pos + 1; i < 2 * n; i++) {
      ord[i] = init_ord[i - 1];
    }
    set<pair<int, int>> guys;
    for (int i = 0; i < 2 * n; i++) {
      guys.insert({i / 2, ord[i]});
    }
    int ant = max(ord[0], ord[1]);
    set<int> inside;
    vector<int> mxs;
    for (int iter = 1; iter <= r; iter++) {
      while (!guys.empty() && guys.begin()->first < iter) {
        inside.insert(guys.begin()->second);
        guys.erase(guys.begin());
      }

      auto smallestIt = inside.begin();
      int smallest = *smallestIt;
      inside.erase(smallestIt);
      if (iter == 1) {
        inside.clear();
      }
      int nw = iter - 1 + n;
      int mx = max(smallest, ant);
      int mn = min(smallest, ant);
      mxs.push_back(mx);
      ant = mn;
      guys.insert({nw, mx});
    }
    int last_seen = -1, transfering = 0;
    for (int i = 0; i < r; i++) {
      if (mxs[i] == my_rank) {
        last_seen = i;
        transfering++;
      }
    }
    int thepos = n - (r - 1 - last_seen) - 1;
    return thepos - n * transfering;
  }
  int pos = 2 * x;
  ord[pos] = my_rank;
  for (int i = 0; i < pos; i++) {
    ord[i] = init_ord[i];
  }
  for (int i = pos + 1; i < 2 * n; i++) {
    ord[i] = init_ord[i - 1];
  }
  for (int i = 0; i < 2 * n; i++) {
    if (ord[i] == my_rank) {
      type[i] = EQUAL;
    }
    if (ord[i] > my_rank) {
      type[i] = BIG;
    }
    if (ord[i] < my_rank) {
      type[i] = SMALL;
    }
  }
  for (int i = 0; i < n; i++) {
    cnt_big[i] = (type[2 * i] == BIG) + (type[2 * i + 1] == BIG);
    cnt_equal[i] = (type[2 * i] == EQUAL) + (type[2 * i + 1] == EQUAL);
  }
  int big_in_hand = 0, equal_in_hand = 0, transfering = 0;
  function<void()> handle0 = [&] () {
    /// if EQUAL vs BIG => EQUAL remains, BIG goes

    int the_sum = cnt_big[0] + cnt_equal[0];
    big_in_hand += cnt_big[0];
    equal_in_hand += cnt_equal[0];
    cnt_big[0] = cnt_equal[0] = 0;

    if (the_sum != 2) {
      /// there is a small one and it pushes them away
      transfering += (equal_in_hand);
      return;
    }

    if (equal_in_hand) {
      cnt_equal[0] = 1;
      equal_in_hand = 0;
    } else {
      if (big_in_hand) {
        cnt_big[0] = 1;
        big_in_hand--;
      }
    }
    transfering += (equal_in_hand);
  };
  function<void(int)> handlenot0 = [&] (int i) {

    /// if EQUAL vs BIG => BIG remains, EQUAL goes
    big_in_hand += cnt_big[i];
    equal_in_hand += cnt_equal[i];

    cnt_big[i] = cnt_equal[i] = 0;

    if (big_in_hand) {
      cnt_big[i] = 1;
      big_in_hand--;
    } else {
      if (equal_in_hand) {
        cnt_equal[i] = 1;
        equal_in_hand = 0;
      }
    }
  };

  handle0();
  for (int i = n - 1; i >= 1; i--) handlenot0(i);

  handle0();
  for (int i = n - 1; i >= 1; i--) handlenot0(i);

  int thepos = -1;
  for (int i = 0; i < n; i++) {
    if (cnt_equal[i]) {
      thepos = i;
    }
  }
  assert(thepos != -1);

  return thepos - n * transfering;
}

int get(int x) {
  if (thesol[x] != INF) {
    return thesol[x];
  }
  thesol[x] = get_smart(x);
  return thesol[x];
}



int mn = (int) 1e9;
int best = -1;

void upd(int i) {
  int x = get(i);
  int y = rep(x);
  if (y < mn) {
    mn = y;
    best = i;
  } else {
    if (y == mn) {
      best = max(best, i);
    }
  }
}

signed main() {
  ios::sync_with_stdio(0); cin.tie(0);

  ///freopen ("input", "r", stdin);

  for (int i = 0; i < N; i++) {
    thesol[i] = INF;
  }

  wannap = 0;

  cin >> n >> r;
  r = 2 * n + r % n;
  cin >> my_rank;
  my_rank--;
  for (int i = 0; i < 2 * n - 1; i++) {
    cin >> init_ord[i];
    init_ord[i]--;
  }
  upd(0);
  upd(n - 1);
  {
    int low = 0, high = n - 1;
    while (low <= high) {
      int mid = (low + high) / 2;
      upd(mid);
      if (get(mid) == get(0)) {
        low = mid + 1;
      } else {
        high = mid - 1;
      }
    }
  }
  int L = get(0), R = get(n - 1);
  for (int j = L; j <= R; j++) {
    if (j % n) {
      continue;
    }
    int low = 0, high = n - 1, the_value = INF;
    while (low <= high) {
      int mid = (low + high) / 2;
      upd(mid);
      if (get(mid) >= j) {
        high = mid - 1;
        the_value = mid;
      } else {
        low = mid + 1;
      }
    }
    low = the_value;
    high = n - 1;
    while (low <= high) {
      int mid = (low + high) / 2;
      upd(mid);
      if (get(mid) == get(the_value)) {
        low = mid + 1;
      } else {
        high = mid - 1;
      }
    }
  }
  cout << best + 1 << "\n";
  return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 11212 KB Output is correct
2 Correct 6 ms 11216 KB Output is correct
3 Correct 7 ms 11212 KB Output is correct
4 Correct 70 ms 11600 KB Output is correct
5 Correct 5 ms 11212 KB Output is correct
6 Correct 6 ms 11212 KB Output is correct

Subtask #2
88.0 / 94.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 11212 KB Output is correct
2 Correct 9 ms 11212 KB Output is correct
3 Correct 38 ms 11468 KB Output is correct
4 Correct 645 ms 13356 KB Output is correct
5 Execution timed out 2081 ms 33840 KB Time limit exceeded
6 Correct 8 ms 11316 KB Output is correct
7 Correct 12 ms 11340 KB Output is correct
8 Correct 213 ms 13232 KB Output is correct
9 Correct 842 ms 13980 KB Output is correct
10 Correct 21 ms 11452 KB Output is correct
11 Correct 1083 ms 14208 KB Output is correct
12 Correct 65 ms 11636 KB Output is correct
13 Execution timed out 2085 ms 28140 KB Time limit exceeded
14 Correct 169 ms 11952 KB Output is correct
15 Correct 1683 ms 15840 KB Output is correct
16 Correct 8 ms 11212 KB Output is correct
17 Correct 37 ms 11424 KB Output is correct
18 Correct 54 ms 11548 KB Output is correct
19 Correct 117 ms 11768 KB Output is correct
20 Correct 165 ms 11980 KB Output is correct
21 Correct 663 ms 14072 KB Output is correct
22 Correct 1465 ms 15668 KB Output is correct
23 Execution timed out 2089 ms 34812 KB Time limit exceeded
24 Correct 6 ms 11212 KB Output is correct
25 Correct 8 ms 11340 KB Output is correct
26 Correct 9 ms 11468 KB Output is correct
27 Correct 27 ms 11976 KB Output is correct
28 Correct 137 ms 15264 KB Output is correct
29 Correct 7 ms 11328 KB Output is correct
30 Correct 11 ms 11412 KB Output is correct
31 Correct 16 ms 11852 KB Output is correct
32 Correct 123 ms 16768 KB Output is correct
33 Correct 6 ms 11212 KB Output is correct
34 Correct 6 ms 11212 KB Output is correct
35 Correct 7 ms 11380 KB Output is correct
36 Correct 7 ms 11352 KB Output is correct
37 Correct 16 ms 11824 KB Output is correct
38 Correct 20 ms 11980 KB Output is correct
39 Correct 8 ms 11212 KB Output is correct
40 Correct 7 ms 11340 KB Output is correct
41 Correct 6 ms 11340 KB Output is correct
42 Correct 7 ms 11340 KB Output is correct
43 Correct 8 ms 11468 KB Output is correct
44 Correct 12 ms 11596 KB Output is correct
45 Correct 19 ms 11948 KB Output is correct
46 Correct 17 ms 11980 KB Output is correct
47 Correct 159 ms 17528 KB Output is correct