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Submission #830200

# Submission time Handle Problem Language Result Execution time Memory
830200 2023-08-18T23:46:03 Z ikaurov Ancient Machine 2 (JOI23_ancient2) C++17
100 / 100
 35 ms 656 KB 
#include "ancient2.h"
#include <bits/stdc++.h>
using namespace std;
#define all(arr) (arr).begin(), (arr).end()
#define ll long long
#define ld long double
#define pb push_back
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define endl '\n'

const int N = 1000, LB = 100, UB = 898;

bitset<N> basisx[N], basisy[N];
bool res[N], val[N];
vector<pair<int, int>> pairs;

void try_add(int q, int p){
  bitset<N> curx, cury;
  for (int i = q; i < N; i += p) curx.set(i);
  for (int i = UB; i >= LB; i--){
    if (!curx.test(i)) continue;
    if (!basisx[i].any()){
      cury.set(sz(pairs));
      pairs.pb({q, p});
      basisx[i] = curx, basisy[i] = cury;
      return;
    }
    curx ^= basisx[i], cury ^= basisy[i];
  }
}

void precalc(){
  for (int p = 1;; p++){
    for (int q = 0; q < p; q++){
      try_add(q, p);
      if (sz(pairs) == UB - LB + 1) return;
    }
  }
}

vector<int> prefix_function(string s){
  int n = sz(s);
  vector<int> pi(n);
  for (int i = 1; i < n; i++){
    int k = pi[i - 1];
    while (k && s[k] != s[i]) k = pi[k - 1];
    pi[i] = k + (s[i] == s[k]);
  }
  return pi;
}
 
vector<vector<int>> build_automaton(string s){
  auto pi = prefix_function(s);
  int n = sz(s);
  vector<vector<int>> aut(2, vector<int>(n + 1));
  for (int i = 0; i <= n; i++){
    for (int c = 0; c < 2; c++){
      if (s[i] == '0' + c) aut[c][i] = i + 1;
      else if (i) aut[c][i] = aut[c][pi[i - 1]];
    }
  }
  return aut;
}

std::string Solve(int n) {
  precalc();
  for (int i = 0; i < sz(pairs); i++){
    auto [q, p] = pairs[i];
    vector<int> a(2 * p), b(2 * p);
    iota(all(a), 1);
    iota(all(b), 1);
    a[p - 1] = 0, a[2 * p - 1] = p;
    b[p - 1] = 0, b[2 * p - 1] = p;
    b[q] = p + (q + 1) % p, b[p + q] = (q + 1) % p;
    res[i] = (Query(2 * p, a, b) >= p);
  }

  for (int i = 0; i < LB; i++){
    vector<int> a(i + 3), b(i + 3);
    iota(all(a), 1);
    iota(all(b), 1);
    a[i] = i + 1, b[i] = i + 2;
    a[i + 1] = b[i + 1] = i + 1;
    a[i + 2] = b[i + 2] = i + 2;
    val[i] = (Query(sz(a), a, b) == i + 2);
  }

  string t;
  for (int i = n - 1; i > UB; i--){
    auto aut = build_automaton("0" + t);
    t = (Query(sz(aut[0]), aut[0], aut[1]) == sz(t) + 1? "0" : "1") + t;
    val[i] = t[0] - '0';
  }

  for (int i = 0; i < sz(pairs); i++){
    for (int j = 0; j < n; j++){
      if ((j < LB || j > UB) && j % pairs[i].se == pairs[i].fi) res[i] ^= val[j];
    }
  }

  for (int i = LB; i <= UB; i++){
    for (int j = 0; j < sz(pairs); j++){
      if (basisy[i].test(j)) val[i] ^= res[j];
    }
    for (int j = LB; j < i; j++){
      if (basisx[i].test(j)) val[i] ^= val[j];
    }
  }
  string ans;
  for (int i = 0; i < n; i++) ans.pb(val[i] + '0');
  return ans;
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 464 KB Output is correct
2 Correct 27 ms 528 KB Output is correct
3 Correct 27 ms 528 KB Output is correct
4 Correct 29 ms 528 KB Output is correct
5 Correct 27 ms 528 KB Output is correct
6 Correct 34 ms 536 KB Output is correct
7 Correct 27 ms 536 KB Output is correct
8 Correct 30 ms 528 KB Output is correct
9 Correct 27 ms 464 KB Output is correct
10 Correct 29 ms 540 KB Output is correct
11 Correct 26 ms 532 KB Output is correct
12 Correct 35 ms 512 KB Output is correct
13 Correct 27 ms 464 KB Output is correct
14 Correct 30 ms 528 KB Output is correct
15 Correct 29 ms 532 KB Output is correct
16 Correct 29 ms 528 KB Output is correct
17 Correct 31 ms 524 KB Output is correct
18 Correct 30 ms 528 KB Output is correct
19 Correct 30 ms 524 KB Output is correct
20 Correct 29 ms 524 KB Output is correct
21 Correct 30 ms 540 KB Output is correct
22 Correct 29 ms 528 KB Output is correct
23 Correct 25 ms 540 KB Output is correct
24 Correct 28 ms 532 KB Output is correct
25 Correct 30 ms 524 KB Output is correct
26 Correct 26 ms 532 KB Output is correct
27 Correct 28 ms 528 KB Output is correct
28 Correct 31 ms 652 KB Output is correct
29 Correct 33 ms 536 KB Output is correct
30 Correct 27 ms 524 KB Output is correct
31 Correct 27 ms 616 KB Output is correct
32 Correct 29 ms 528 KB Output is correct
33 Correct 24 ms 536 KB Output is correct
34 Correct 30 ms 520 KB Output is correct
35 Correct 30 ms 656 KB Output is correct
36 Correct 32 ms 524 KB Output is correct
37 Correct 35 ms 544 KB Output is correct
38 Correct 29 ms 464 KB Output is correct
39 Correct 31 ms 536 KB Output is correct
40 Correct 24 ms 536 KB Output is correct
41 Correct 29 ms 472 KB Output is correct
42 Correct 29 ms 592 KB Output is correct
43 Correct 30 ms 464 KB Output is correct
44 Correct 24 ms 540 KB Output is correct
45 Correct 29 ms 532 KB Output is correct
46 Correct 29 ms 528 KB Output is correct
47 Correct 34 ms 464 KB Output is correct
48 Correct 27 ms 464 KB Output is correct
49 Correct 32 ms 528 KB Output is correct
50 Correct 28 ms 532 KB Output is correct
51 Correct 30 ms 640 KB Output is correct
52 Correct 29 ms 528 KB Output is correct
53 Correct 34 ms 536 KB Output is correct
54 Correct 28 ms 524 KB Output is correct
55 Correct 33 ms 464 KB Output is correct
56 Correct 27 ms 516 KB Output is correct
57 Correct 35 ms 532 KB Output is correct
58 Correct 28 ms 528 KB Output is correct
59 Correct 33 ms 516 KB Output is correct
60 Correct 33 ms 520 KB Output is correct
61 Correct 32 ms 516 KB Output is correct
62 Correct 29 ms 536 KB Output is correct
63 Correct 29 ms 532 KB Output is correct