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Submission #850829

# Submission time Handle Problem Language Result Execution time Memory
850829 2023-09-17T13:37:20 Z tvladm2009 Event Hopping (BOI22_events) C++17
100 / 100
 614 ms 85472 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
const int N = (int) 1e5 + 7;
int n;
int q;

struct T {
  int l;
  int r;
  int ind;
};

bool operator < (T a, T b) {
  if (a.r != b.r) {
    return a.r < b.r;
  } else {
    return a.l < b.l;
  }
}

T a[N];
int l[N];
int r[N];
int where[N];

int bs(int x) {
  int low = 1, high = n, sol = 0;
  while (low <= high) {
    int mid = (low + high) / 2;
    if (a[mid].r <= x) {
      sol = mid;
      low = mid + 1;
    } else {
      high = mid - 1;
    }
  }
  return sol;
}

pair<int, int> unite(pair<int, int> a, pair<int, int> b) {
  return {min(a.first, b.first), max(a.second, b.second)};
}

const int K = 20;
pair<int, int> tab[K][N];
pair<int, int> segt[K][4 * N];

void build(int v, int tl, int tr, int k) {
  if (tl == tr) {
    segt[k][v] = tab[k][tl];
  } else {
    int tm = (tl + tr) / 2;
    build(2 * v, tl, tm, k);
    build(2 * v + 1, tm + 1, tr, k);
    segt[k][v] = unite(segt[k][2 * v], segt[k][2 * v + 1]);
  }
}

pair<int, int> get(int v, int tl, int tr, int l, int r, int k) {
  if (l <= tl && tr <= r) {
    return segt[k][v];
  }
  int tm = (tl + tr) / 2;
  if (l <= tm && r <= tm) {
    return get(2 * v, tl, tm, l, r, k);
  }
  if (tm + 1 <= l && tm + 1 <= r) {
    return get(2 * v + 1, tm + 1, tr, l, r, k);
  }
  return unite(get(2 * v, tl, tm, l, tm, k), get(2 * v + 1, tm + 1, tr, tm + 1, r, k));
}

pair<int, int> get(int l, int r, int k) {
  return get(1, 1, n, l, r, k);
}

void build(int k) {
  build(1, 1, n, k);
}

pair<int, int> go_up(pair<int, int> cur, int k) {
  return get(cur.first, cur.second, k);
}

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

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

  cin >> n >> q;
  for (int i = 1; i <= n; i++) {
    cin >> a[i].l >> a[i].r;
    a[i].ind = i;
  }
  sort(a + 1, a + n + 1);
  for (int i = 1; i <= n; i++) {
    where[a[i].ind] = i;
  }
  for (int i = 1; i <= n; i++) {
    l[i] = bs(a[i].l - 1) + 1;
    r[i] = bs(a[i].r);
    tab[0][i] = {l[i], r[i]};
  }
  build(0);
  for (int k = 1; k < K; k++) {
    for (int i = 1; i <= n; i++) {
      tab[k][i] = go_up(tab[k - 1][i], k - 1);
    }
    build(k);
  }

  for (int iq = 1; iq <= q; iq++) {
    int ff, ss;
    cin >> ff >> ss;
    ff = where[ff];
    ss = where[ss];
    int sol = 1;
    pair<int, int> now = {ss, ss};
    pair<int, int> nxt = go_up(now, K - 1);
    if (nxt.second < ff || nxt.first > ff) {
      cout << "impossible\n";
      continue;
    }
    if (ff == ss) {
      cout << "0\n";
      continue;
    } 
    for (int k = K - 1; k >= 0; k--) {
      pair<int, int> nxt = go_up(now, k);
      if (nxt.second < ff || nxt.first > ff) {
        sol += (1 << k);
        now = nxt;
      }
    }
    cout << sol << "\n";
  }
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 57692 KB Output is correct
2 Correct 440 ms 81516 KB Output is correct
3 Correct 606 ms 84692 KB Output is correct
4 Correct 578 ms 84516 KB Output is correct
5 Correct 578 ms 84832 KB Output is correct
6 Correct 559 ms 84916 KB Output is correct
7 Correct 543 ms 85148 KB Output is correct
8 Correct 189 ms 85072 KB Output is correct
9 Correct 189 ms 85152 KB Output is correct
10 Correct 445 ms 84952 KB Output is correct
11 Correct 360 ms 85144 KB Output is correct
12 Correct 184 ms 84368 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 57692 KB Output is correct
2 Correct 6 ms 57892 KB Output is correct
3 Correct 8 ms 57692 KB Output is correct
4 Correct 8 ms 57948 KB Output is correct
5 Correct 8 ms 57944 KB Output is correct
6 Correct 7 ms 57948 KB Output is correct
7 Correct 8 ms 57904 KB Output is correct
8 Correct 8 ms 57948 KB Output is correct
9 Correct 6 ms 57944 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 57692 KB Output is correct
2 Correct 6 ms 57892 KB Output is correct
3 Correct 8 ms 57692 KB Output is correct
4 Correct 8 ms 57948 KB Output is correct
5 Correct 8 ms 57944 KB Output is correct
6 Correct 7 ms 57948 KB Output is correct
7 Correct 8 ms 57904 KB Output is correct
8 Correct 8 ms 57948 KB Output is correct
9 Correct 6 ms 57944 KB Output is correct
10 Correct 6 ms 57688 KB Output is correct
11 Correct 6 ms 57688 KB Output is correct
12 Correct 8 ms 57948 KB Output is correct
13 Correct 7 ms 57928 KB Output is correct
14 Correct 8 ms 57948 KB Output is correct
15 Correct 8 ms 57944 KB Output is correct
16 Correct 8 ms 57948 KB Output is correct
17 Correct 7 ms 57944 KB Output is correct
18 Correct 6 ms 57884 KB Output is correct
19 Correct 206 ms 61560 KB Output is correct
20 Correct 222 ms 61572 KB Output is correct
21 Correct 138 ms 61776 KB Output is correct
22 Correct 67 ms 61780 KB Output is correct
23 Correct 68 ms 61748 KB Output is correct
24 Correct 68 ms 61608 KB Output is correct
25 Correct 152 ms 61228 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 57692 KB Output is correct
2 Correct 6 ms 57892 KB Output is correct
3 Correct 8 ms 57692 KB Output is correct
4 Correct 8 ms 57948 KB Output is correct
5 Correct 8 ms 57944 KB Output is correct
6 Correct 7 ms 57948 KB Output is correct
7 Correct 8 ms 57904 KB Output is correct
8 Correct 8 ms 57948 KB Output is correct
9 Correct 6 ms 57944 KB Output is correct
10 Correct 6 ms 57692 KB Output is correct
11 Correct 6 ms 57692 KB Output is correct
12 Correct 8 ms 57868 KB Output is correct
13 Correct 8 ms 57948 KB Output is correct
14 Correct 8 ms 57948 KB Output is correct
15 Correct 8 ms 57948 KB Output is correct
16 Correct 7 ms 57948 KB Output is correct
17 Correct 7 ms 57948 KB Output is correct
18 Correct 6 ms 57948 KB Output is correct
19 Correct 270 ms 83012 KB Output is correct
20 Correct 271 ms 82272 KB Output is correct
21 Correct 202 ms 82824 KB Output is correct
22 Correct 246 ms 83024 KB Output is correct
23 Correct 211 ms 82772 KB Output is correct
24 Correct 262 ms 82772 KB Output is correct
25 Correct 46 ms 82256 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 455 ms 81560 KB Output is correct
2 Correct 614 ms 84704 KB Output is correct
3 Correct 602 ms 84664 KB Output is correct
4 Correct 190 ms 85244 KB Output is correct
5 Correct 429 ms 85076 KB Output is correct
6 Correct 533 ms 84696 KB Output is correct
7 Correct 515 ms 84684 KB Output is correct
8 Correct 434 ms 85008 KB Output is correct
9 Correct 210 ms 82928 KB Output is correct
10 Correct 472 ms 84908 KB Output is correct
11 Correct 317 ms 84308 KB Output is correct
12 Correct 485 ms 84680 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 57692 KB Output is correct
2 Correct 440 ms 81516 KB Output is correct
3 Correct 606 ms 84692 KB Output is correct
4 Correct 578 ms 84516 KB Output is correct
5 Correct 578 ms 84832 KB Output is correct
6 Correct 559 ms 84916 KB Output is correct
7 Correct 543 ms 85148 KB Output is correct
8 Correct 189 ms 85072 KB Output is correct
9 Correct 189 ms 85152 KB Output is correct
10 Correct 445 ms 84952 KB Output is correct
11 Correct 360 ms 85144 KB Output is correct
12 Correct 184 ms 84368 KB Output is correct
13 Correct 6 ms 57692 KB Output is correct
14 Correct 6 ms 57892 KB Output is correct
15 Correct 8 ms 57692 KB Output is correct
16 Correct 8 ms 57948 KB Output is correct
17 Correct 8 ms 57944 KB Output is correct
18 Correct 7 ms 57948 KB Output is correct
19 Correct 8 ms 57904 KB Output is correct
20 Correct 8 ms 57948 KB Output is correct
21 Correct 6 ms 57944 KB Output is correct
22 Correct 6 ms 57688 KB Output is correct
23 Correct 6 ms 57688 KB Output is correct
24 Correct 8 ms 57948 KB Output is correct
25 Correct 7 ms 57928 KB Output is correct
26 Correct 8 ms 57948 KB Output is correct
27 Correct 8 ms 57944 KB Output is correct
28 Correct 8 ms 57948 KB Output is correct
29 Correct 7 ms 57944 KB Output is correct
30 Correct 6 ms 57884 KB Output is correct
31 Correct 206 ms 61560 KB Output is correct
32 Correct 222 ms 61572 KB Output is correct
33 Correct 138 ms 61776 KB Output is correct
34 Correct 67 ms 61780 KB Output is correct
35 Correct 68 ms 61748 KB Output is correct
36 Correct 68 ms 61608 KB Output is correct
37 Correct 152 ms 61228 KB Output is correct
38 Correct 6 ms 57692 KB Output is correct
39 Correct 6 ms 57692 KB Output is correct
40 Correct 8 ms 57868 KB Output is correct
41 Correct 8 ms 57948 KB Output is correct
42 Correct 8 ms 57948 KB Output is correct
43 Correct 8 ms 57948 KB Output is correct
44 Correct 7 ms 57948 KB Output is correct
45 Correct 7 ms 57948 KB Output is correct
46 Correct 6 ms 57948 KB Output is correct
47 Correct 270 ms 83012 KB Output is correct
48 Correct 271 ms 82272 KB Output is correct
49 Correct 202 ms 82824 KB Output is correct
50 Correct 246 ms 83024 KB Output is correct
51 Correct 211 ms 82772 KB Output is correct
52 Correct 262 ms 82772 KB Output is correct
53 Correct 46 ms 82256 KB Output is correct
54 Correct 455 ms 81560 KB Output is correct
55 Correct 614 ms 84704 KB Output is correct
56 Correct 602 ms 84664 KB Output is correct
57 Correct 190 ms 85244 KB Output is correct
58 Correct 429 ms 85076 KB Output is correct
59 Correct 533 ms 84696 KB Output is correct
60 Correct 515 ms 84684 KB Output is correct
61 Correct 434 ms 85008 KB Output is correct
62 Correct 210 ms 82928 KB Output is correct
63 Correct 472 ms 84908 KB Output is correct
64 Correct 317 ms 84308 KB Output is correct
65 Correct 485 ms 84680 KB Output is correct
66 Correct 6 ms 57688 KB Output is correct
67 Correct 440 ms 84632 KB Output is correct
68 Correct 610 ms 84712 KB Output is correct
69 Correct 586 ms 84824 KB Output is correct
70 Correct 580 ms 85044 KB Output is correct
71 Correct 558 ms 84700 KB Output is correct
72 Correct 531 ms 84832 KB Output is correct
73 Correct 188 ms 85148 KB Output is correct
74 Correct 189 ms 85140 KB Output is correct
75 Correct 438 ms 85328 KB Output is correct
76 Correct 362 ms 85072 KB Output is correct
77 Correct 186 ms 84660 KB Output is correct
78 Correct 6 ms 57688 KB Output is correct
79 Correct 8 ms 57948 KB Output is correct
80 Correct 8 ms 57944 KB Output is correct
81 Correct 8 ms 57948 KB Output is correct
82 Correct 8 ms 57948 KB Output is correct
83 Correct 8 ms 57932 KB Output is correct
84 Correct 7 ms 57944 KB Output is correct
85 Correct 6 ms 57948 KB Output is correct
86 Correct 202 ms 61672 KB Output is correct
87 Correct 222 ms 61448 KB Output is correct
88 Correct 140 ms 61672 KB Output is correct
89 Correct 60 ms 61780 KB Output is correct
90 Correct 68 ms 61572 KB Output is correct
91 Correct 67 ms 61524 KB Output is correct
92 Correct 149 ms 61264 KB Output is correct
93 Correct 271 ms 83472 KB Output is correct
94 Correct 266 ms 82100 KB Output is correct
95 Correct 201 ms 82752 KB Output is correct
96 Correct 241 ms 82964 KB Output is correct
97 Correct 207 ms 82984 KB Output is correct
98 Correct 262 ms 82772 KB Output is correct
99 Correct 46 ms 82260 KB Output is correct
100 Correct 544 ms 84876 KB Output is correct
101 Correct 544 ms 84672 KB Output is correct
102 Correct 442 ms 85472 KB Output is correct
103 Correct 471 ms 84304 KB Output is correct
104 Correct 318 ms 84364 KB Output is correct
105 Correct 484 ms 84508 KB Output is correct
106 Correct 442 ms 84116 KB Output is correct
107 Correct 564 ms 84144 KB Output is correct
108 Correct 369 ms 84716 KB Output is correct
109 Correct 306 ms 84792 KB Output is correct
110 Correct 384 ms 84760 KB Output is correct
111 Correct 371 ms 84744 KB Output is correct