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Submission #645357

# Submission time Handle Problem Language Result Execution time Memory
645357 2022-09-26T21:10:11 Z Alex_tz307 Restore Array (RMI19_restore) C++17
100 / 100
 136 ms 820 KB 
#include <bits/stdc++.h>

using namespace std;

const int kN = 5e3;
const int INF = 1e9;
int n, m, d[1 + kN], cnt[1 + kN];
vector<pair<int, int>> g[1 + kN];
bitset<1 + kN> inQ;

/// Sistem de inecuatii diferentiale peste sumele partiale pe prefix
/// Dupa ce rezolv sistemul pentru sumele partiale obtin simplu si elementele: a[i] = p[i] - p[i - 1]

bool BellmanFord(int s) {
  for (int i = 0; i <= n; ++i) {
    d[i] = INF;
  }
  d[s] = 0;
  queue<int> q;
  q.emplace(s);
  inQ[s] = true;
  cnt[s] = 1;
  while (!q.empty()) {
    int u = q.front();
    q.pop();
    inQ[u] = false;
    for (const auto &it : g[u]) {
      int v, w;
      tie(v, w) = it;
      if (d[v] > d[u] + w) {
        d[v] = d[u] + w;
        if (d[v] < 0 || cnt[v] > n) { /// nu poate exista o suma partiala negativa
          return true;
        }
        if (!inQ[v]) {
          q.emplace(v);
          inQ[v] = true;
          cnt[v] += 1;
        }
      }
    }
  }
  return false;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cin >> n >> m;
  for (int i = 0; i < m; ++i) {
    int l, r, k, v;
    cin >> l >> r >> k >> v;
    r += 1;
    if (v == 0) {
      /// sunt cel putin k valori de 0 in intervalul l..r <=> p[r] - p[l - 1] <= (r - l + 1) - k
      g[l].emplace_back(r, (r - l) - k);
    } else {
      /// sunt cel putin (r - l + 1) - k + 1 valori de 1 in intervalul l..r
      /// <=> p[r] - p[l - 1] >= (r - l + 1) - k + 1 | *(-1)
      /// <=> p[l - 1] - p[r] <= -(r - l + 1) + k - 1
      g[r].emplace_back(l, -(r - l) + k - 1);
    }
  }
  for (int i = 1; i <= n; ++i) {
    /// p[i - 1] <= p[i] <= p[i - 1] + 1

    /// p[i - 1] - p[i] <= 0
    g[i].emplace_back(i - 1, 0);

    /// p[i] - p[i - 1] <= 1
    g[i - 1].emplace_back(i, 1);
  }
  if (BellmanFord(0)) {
    cout << "-1\n";
  } else {
    for (int i = 1; i <= n; ++i) {
      cout << d[i] - d[i - 1] << ' ';
    }
    cout << '\n';
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 724 KB Output is correct
2 Correct 14 ms 700 KB Output is correct
3 Correct 13 ms 748 KB Output is correct
4 Correct 13 ms 680 KB Output is correct
5 Correct 4 ms 728 KB Output is correct
6 Correct 3 ms 724 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 724 KB Output is correct
2 Correct 14 ms 700 KB Output is correct
3 Correct 13 ms 748 KB Output is correct
4 Correct 13 ms 680 KB Output is correct
5 Correct 4 ms 728 KB Output is correct
6 Correct 3 ms 724 KB Output is correct
7 Correct 12 ms 724 KB Output is correct
8 Correct 12 ms 820 KB Output is correct
9 Correct 18 ms 724 KB Output is correct
10 Correct 10 ms 724 KB Output is correct
11 Correct 3 ms 724 KB Output is correct
12 Correct 4 ms 724 KB Output is correct
13 Correct 11 ms 724 KB Output is correct
14 Correct 19 ms 724 KB Output is correct
15 Correct 30 ms 808 KB Output is correct
16 Correct 136 ms 816 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 12 ms 724 KB Output is correct
12 Correct 14 ms 700 KB Output is correct
13 Correct 13 ms 748 KB Output is correct
14 Correct 13 ms 680 KB Output is correct
15 Correct 4 ms 728 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 12 ms 724 KB Output is correct
18 Correct 12 ms 820 KB Output is correct
19 Correct 18 ms 724 KB Output is correct
20 Correct 10 ms 724 KB Output is correct
21 Correct 3 ms 724 KB Output is correct
22 Correct 4 ms 724 KB Output is correct
23 Correct 11 ms 724 KB Output is correct
24 Correct 19 ms 724 KB Output is correct
25 Correct 30 ms 808 KB Output is correct
26 Correct 136 ms 816 KB Output is correct
27 Correct 6 ms 724 KB Output is correct
28 Correct 6 ms 724 KB Output is correct
29 Correct 8 ms 808 KB Output is correct
30 Correct 7 ms 724 KB Output is correct
31 Correct 6 ms 724 KB Output is correct
32 Correct 6 ms 808 KB Output is correct
33 Correct 4 ms 724 KB Output is correct
34 Correct 4 ms 724 KB Output is correct
35 Correct 6 ms 816 KB Output is correct
36 Correct 8 ms 792 KB Output is correct