oj.uz

Submission #995832

# Submission time Handle Problem Language Result Execution time Memory
995832 2024-06-09T23:53:51 Z MilosMilutinovic Train (APIO24_train) C++17
10 / 100
 1000 ms 314384 KB 
#include "train.h"
#include <bits/stdc++.h>
 
using namespace std;
 
const int BLOCK = 600;
 
const int N = 100005;
const int MAX = 200 * N;
 
const long long inf = (long long) 1e18;
 
int root[N], tsz, ch[MAX][2];
long long mn[MAX], tag[MAX];
 
void push(int x) {
  if (!x || !tag[x]) {
    return;
  }
  if (ch[x][0]) {
    mn[ch[x][0]] += tag[x];
    tag[ch[x][0]] += tag[x];
  }
  if (!ch[x][1]) {
    mn[ch[x][1]] += tag[x];
    tag[ch[x][1]] += tag[x];
  }
  tag[x] = 0;
}
 
void pull(int x) {
  mn[x] = inf;
  if (ch[x][0]) {
    mn[x] = min(mn[x], mn[ch[x][0]]);
  }
  if (ch[x][1]) {
    mn[x] = min(mn[x], mn[ch[x][1]]);
  }
}
 
void AddRange(int& x, int l, int r, int ll, int rr, int v) {
  if (ll > rr) {
    return;
  }
  if (!x) {
    x = ++tsz;
    mn[x] = inf;
  }
  if (ll <= l && r <= rr) {
    tag[x] += v;
    mn[x] += v;
    push(x);
    return;
  }
  push(x);
  int mid = (l + r) >> 1;
  if (rr <= mid) {
    AddRange(ch[x][0], l, mid, ll, rr, v);
  } else if (ll > mid) {
    AddRange(ch[x][1], mid + 1, r, ll, rr, v);
  } else {
    AddRange(ch[x][0], l, mid, ll, rr, v);
    AddRange(ch[x][1], mid + 1, r, ll, rr, v);
  }
  pull(x);
}
 
void Modify(int& x, int l, int r, int i, long long v) {
  if (!x) {
    x = ++tsz;
    mn[x] = inf;
  }
  if (l == r) {
    mn[x] = min(mn[x], v);
    return;
  }
  push(x);
  int mid = (l + r) >> 1;
  if (i <= mid) {
    Modify(ch[x][0], l, mid, i, v);
  } else {
    Modify(ch[x][1], mid + 1, r, i, v);
  }
  pull(x);
}
 
long long Query(int v, int l, int r, int ll, int rr) {
  if (!v) {
    return inf;
  }
  if (ll <= l && r <= rr) {
    return mn[v];
  }
  push(v);
  int mid = (l + r) >> 1;
  long long ret = inf;
  if (rr <= mid) {
    ret = Query(ch[v][0], l, mid, ll, rr);
  } else if (ll > mid) {
    ret = Query(ch[v][1], mid + 1, r, ll, rr);
  } else {
    ret = min(Query(ch[v][0], l, mid, ll, rr), Query(ch[v][1], mid + 1, r, ll, rr));
  }
  pull(v);
  return ret;
}
 
template <typename T>
class fenwick {
 public:
  vector<T> fenw;
  int n;
 
  fenwick(int _n) : n(_n) {
    fenw.resize(n);
  }
 
  void modify(int x, T v) {
    while (x < n) {
      fenw[x] += v;
      x |= (x + 1);
    }
  }
 
  T get(int x) {
    T v{};
    while (x >= 0) {
      v += fenw[x];
      x = (x & (x + 1)) - 1;
    }
    return v;
  }
};
 
long long solve(int n, int m, int w, std::vector<int> T, std::vector<int> X, std::vector<int> Y,
                std::vector<int> A, std::vector<int> B, std::vector<int> C, std::vector<int> L,
                std::vector<int> R) {
  vector<vector<int>> my(n);
  for (int i = 0; i < m; i++) {
    my[X[i]].push_back(A[i]);
    my[Y[i]].push_back(B[i]);
  }
  my[0].push_back(0);
  vector<int> sz(n);
  for (int i = 0; i < n; i++) {
    sort(my[i].begin(), my[i].end());
    if (!my[i].empty()) {
      my[i].erase(unique(my[i].begin(), my[i].end()), my[i].end());
    }
    sz[i] = (int) my[i].size();
  }
  vector<pair<int, int>> vec;
  for (int i = 0; i < n; i++) {
    for (int j : my[i]) {
      vec.emplace_back(i, j);
    }
  }
  sort(vec.begin(), vec.end(), [&](pair<int, int> a, pair<int, int> b) {
    return a.second < b.second;
  });
  vector<vector<long long>> dist(n);
  for (int i = 0; i < n; i++) {
    dist[i].resize(sz[i], inf);
  }
  dist[0][0] = 0;
  vector<int> xs;
  for (int i = 0; i < w; i++) {
    xs.push_back(L[i]);
    xs.push_back(R[i]);
  }
  for (int i = 0; i < n; i++) {
    for (int j : my[i]) {
      xs.push_back(j);
    }
  }
  sort(xs.begin(), xs.end());
  xs.erase(unique(xs.begin(), xs.end()), xs.end());
  vector<vector<vector<int>>> g(n);
  for (int i = 0; i < n; i++) {
    g[i].resize(sz[i]);
  }
  for (int i = 0; i < m; i++) {
    int idx = (int) (lower_bound(my[X[i]].begin(), my[X[i]].end(), A[i]) - my[X[i]].begin());
    g[X[i]][idx].push_back(i);
  }
  vector<array<int, 2>> segs;
  for (int i = 0; i < w; i++) {
    segs.push_back({L[i], R[i]});
  }
  sort(segs.begin(), segs.end(), [&](array<int, 2> a, array<int, 2> b) {
    return a[1] < b[1];
  });
  vector<vector<int>> IDX(n);
  for (int i = 0; i < n; i++) {
    IDX[i].resize(sz[i]);
    for (int j = 0; j < sz[i]; j++) {
      IDX[i][j] = (int) (lower_bound(xs.begin(), xs.end(), my[i][j]) - xs.begin());
    }
  }
  int ptr = 0;
  int k = (int) xs.size();
  fenwick<int> fenw(k);
  vector<int> nxt(n);
  for (int qq = 0; qq < (int) vec.size(); qq++) {
    int i = vec[qq].first;
    int t = vec[qq].second;
    int j = (int) (lower_bound(my[i].begin(), my[i].end(), t) - my[i].begin());
    while (ptr < (int) segs.size() && segs[ptr][1] < t) { 
      fenw.modify((int) (lower_bound(xs.begin(), xs.end(), segs[ptr][0]) - xs.begin()), +1);
      ptr += 1;
    }
    long long nd = dist[i][j];
    if (sz[i] < BLOCK) {
      for (int k = 0; k < j; k++) {
        int from = IDX[i][k];
        int to = IDX[i][j];
        nd = min(nd, dist[i][k] + (ptr - fenw.get(from)) * 1LL * T[i]);
      }
    } else {
      while (nxt[i] < (int) segs.size() && segs[nxt[i]][1] < t) {
        int idx = (int) (lower_bound(xs.begin(), xs.end(), segs[nxt[i]][0]) - xs.begin());
        AddRange(root[i], 0, k - 1, 0, idx - 1, T[i]);
        nxt[i] += 1;
      }
      nd = min(nd, Query(root[i], 0, k - 1, 0, IDX[i][j]));
      Modify(root[i], 0, k - 1, IDX[i][j], dist[i][j]);
    }
    for (auto& p : g[i][j]) {
      int to = Y[p];
      int time = B[p];
      int idx = (int) (lower_bound(my[to].begin(), my[to].end(), time) - my[to].begin());
      dist[to][idx] = min(dist[to][idx], nd + C[p]);
    }
  }
  ptr = 0;
  sort(segs.begin(), segs.end(), [&](array<int, 2> a, array<int, 2> b) {
    return a[0] > b[0];
  });
  long long res = inf;
  for (int i = sz[n - 1] - 1; i >= 0; i--) {
    while (ptr < (int) segs.size() && segs[ptr][0] > my[n - 1][i]) {
      ptr++;
    }
    res = min(res, dist[n - 1][i] + ptr * 1LL * T[n - 1]);
  }
  if (res == inf) {
    return -1;
  } else {
    return res;
  }
}

Compilation message

train.cpp: In function 'long long int solve(int, int, int, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
train.cpp:216:13: warning: unused variable 'to' [-Wunused-variable]
  216 |         int to = IDX[i][j];
      |             ^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Correct.
2 Correct 2 ms 604 KB Correct.
3 Correct 2 ms 604 KB Correct.
4 Correct 2 ms 432 KB Correct.
5 Correct 0 ms 348 KB Correct.
6 Correct 1 ms 348 KB Correct.
7 Correct 1 ms 348 KB Correct.

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 20312 KB Correct.
2 Correct 213 ms 33884 KB Correct.
3 Correct 1 ms 348 KB Correct.
4 Correct 15 ms 11356 KB Correct.
5 Correct 1 ms 348 KB Correct.
6 Correct 534 ms 19088 KB Correct.
7 Correct 1 ms 348 KB Correct.
8 Correct 192 ms 36180 KB Correct.
9 Correct 179 ms 33648 KB Correct.

Subtask #3
0.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 20312 KB Correct.
2 Correct 213 ms 33884 KB Correct.
3 Correct 1 ms 348 KB Correct.
4 Correct 15 ms 11356 KB Correct.
5 Correct 1 ms 348 KB Correct.
6 Correct 534 ms 19088 KB Correct.
7 Correct 1 ms 348 KB Correct.
8 Correct 192 ms 36180 KB Correct.
9 Correct 179 ms 33648 KB Correct.
10 Correct 222 ms 24204 KB Correct.
11 Correct 299 ms 37900 KB Correct.
12 Correct 19 ms 11344 KB Correct.
13 Correct 0 ms 348 KB Correct.
14 Correct 438 ms 93016 KB Correct.
15 Correct 230 ms 37696 KB Correct.
16 Execution timed out 1080 ms 314384 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #4
0.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Correct.
2 Correct 2 ms 604 KB Correct.
3 Correct 2 ms 604 KB Correct.
4 Correct 2 ms 432 KB Correct.
5 Correct 0 ms 348 KB Correct.
6 Correct 1 ms 348 KB Correct.
7 Correct 1 ms 348 KB Correct.
8 Correct 196 ms 20312 KB Correct.
9 Correct 213 ms 33884 KB Correct.
10 Correct 1 ms 348 KB Correct.
11 Correct 15 ms 11356 KB Correct.
12 Correct 1 ms 348 KB Correct.
13 Correct 534 ms 19088 KB Correct.
14 Correct 1 ms 348 KB Correct.
15 Correct 192 ms 36180 KB Correct.
16 Correct 179 ms 33648 KB Correct.
17 Correct 222 ms 24204 KB Correct.
18 Correct 299 ms 37900 KB Correct.
19 Correct 19 ms 11344 KB Correct.
20 Correct 0 ms 348 KB Correct.
21 Correct 438 ms 93016 KB Correct.
22 Correct 230 ms 37696 KB Correct.
23 Execution timed out 1080 ms 314384 KB Time limit exceeded
24 Halted 0 ms 0 KB -