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Submission #647388

# Submission time Handle Problem Language Result Execution time Memory
647388 2022-10-02T11:06:36 Z Pety Event Hopping (BOI22_events) C++14
100 / 100
 161 ms 14796 KB 
#include <bits/stdc++.h>
#define ll long long

using namespace std;

const int INF = 1e9;
const int MOD = 1e9 + 7;

int n, q, E[100002], dp[20][100002], ind[100002];
pair<int, int>p[100002];
int aint[400002], poz[400002];

void build (int nod, int st, int dr) {
  aint[nod] = INF;
  poz[nod] = st;
  if (st < dr) {
    build(2 * nod, st, (st + dr) / 2);
    build(2 * nod + 1, (st + dr) / 2 + 1, dr);
  }
}

void update (int nod, int st, int dr, int x, pair<int, int> val) {
  if (st == dr) {
    if (aint[nod] > val.first) {
      aint[nod] = val.first;
      poz[nod] = val.second;
    }
    return;
  }
  int mid = (st + dr) / 2;
  if (x <= mid)
    update(2 * nod, st, mid, x, val);
  else
    update(2 * nod + 1, mid + 1, dr, x, val);
  aint[nod] = min(aint[2 * nod], aint[2 * nod + 1]);
  if (aint[2 * nod] == aint[nod])
    poz[nod] = poz[2 * nod];
  else
    poz[nod] = poz[2 * nod + 1];
}

pair<int, int> query (int nod, int st, int dr, int a, int b) {
  if (a <= st && dr <= b) 
    return {aint[nod], poz[nod]};
  int mid = (st + dr) / 2;
  if (b <= mid)
    return query(2 * nod, st, mid, a, b);
  else if (a > mid)
    return query(2 * nod + 1, mid + 1, dr, a, b);
  else {
    auto p1 = query(2 * nod, st, mid, a, b);
    auto p2 = query(2 * nod + 1, mid + 1, dr, a, b);
    return min(p1, p2);
  }
}

bool cmp (int a, int b) {
  if (p[a].second == p[b].second)
    return p[a].first < p[b].first;
  return p[a].second < p[b].second;
}

int main () 
{
  ios_base::sync_with_stdio(false);
  cin.tie(0); cout.tie(0);
  cin >> n >> q;
  for (int i = 1; i <= n; i++) {
    cin >> p[i].first >> p[i].second;
    E[i] = p[i].second;
  }
  sort(E + 1, E + n + 1);
  int m = 0;
  for (int i = 1; i <= n; i++) {
    ind[i] = i;
    if (i == 1 || E[i] != E[i - 1])
      E[++m] = E[i];
  }
  sort(ind + 1, ind + n + 1, cmp);
  build(1, 1, m);
  for (int i = 1; i <= n; i++) {
    p[ind[i]].second = lower_bound(E + 1, E + m + 1, p[ind[i]].second) - E;
    p[ind[i]].first = lower_bound(E + 1, E + m + 1, p[ind[i]].first) - E;
    update(1, 1, m, p[ind[i]].second, {p[ind[i]].first, ind[i]});
    dp[0][ind[i]] = query(1, 1, m, p[ind[i]].first, p[ind[i]].second).second; 
  }

  int lim = 0;
  while ((1 << lim) <= n)
    lim++;
  lim--;
  for (int i = 1; (1 << i) <= n; i++) 
    for (int j = 1; j <= n; j++)
      dp[i][j] = dp[i - 1][dp[i - 1][j]];
  while (q--) {
    int s, e;
    cin >> s >> e;
    if (p[e].second < p[s].second) {
      cout << "impossible\n";
      continue;
    }
    if (p[s].second >= p[e].first) {
      cout<< (s != e) << "\n";
      continue;
    }
    
    int ans = 1;
    for (int i = lim; i >= 0; i--) {
      if (p[s].second < p[dp[i][e]].first) {
        e = dp[i][e];
        ans += (1 << i);
      }
    }
    e = dp[0][e];
    if (p[s].second > p[e].second || p[s].second < p[e].first) 
      cout << "impossible\n";
    else
      cout << ans + (p[s].second >= p[e].first) << "\n";
  }
  
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 120 ms 11180 KB Output is correct
3 Correct 112 ms 11132 KB Output is correct
4 Correct 152 ms 11168 KB Output is correct
5 Correct 125 ms 11252 KB Output is correct
6 Correct 110 ms 11212 KB Output is correct
7 Correct 119 ms 11364 KB Output is correct
8 Correct 118 ms 14796 KB Output is correct
9 Correct 133 ms 14784 KB Output is correct
10 Correct 120 ms 14568 KB Output is correct
11 Correct 160 ms 14660 KB Output is correct
12 Correct 75 ms 12992 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 340 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 34 ms 1368 KB Output is correct
20 Correct 27 ms 1364 KB Output is correct
21 Correct 30 ms 1608 KB Output is correct
22 Correct 28 ms 2576 KB Output is correct
23 Correct 25 ms 2516 KB Output is correct
24 Correct 23 ms 2516 KB Output is correct
25 Correct 26 ms 2148 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 69 ms 10480 KB Output is correct
20 Correct 66 ms 10588 KB Output is correct
21 Correct 79 ms 11428 KB Output is correct
22 Correct 73 ms 12444 KB Output is correct
23 Correct 76 ms 12488 KB Output is correct
24 Correct 76 ms 12492 KB Output is correct
25 Correct 31 ms 9752 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 11132 KB Output is correct
2 Correct 111 ms 11088 KB Output is correct
3 Correct 161 ms 11128 KB Output is correct
4 Correct 144 ms 11592 KB Output is correct
5 Correct 114 ms 11660 KB Output is correct
6 Correct 119 ms 11344 KB Output is correct
7 Correct 128 ms 11224 KB Output is correct
8 Correct 116 ms 11364 KB Output is correct
9 Correct 70 ms 10580 KB Output is correct
10 Correct 110 ms 10996 KB Output is correct
11 Correct 106 ms 10756 KB Output is correct
12 Correct 110 ms 10972 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 120 ms 11180 KB Output is correct
3 Correct 112 ms 11132 KB Output is correct
4 Correct 152 ms 11168 KB Output is correct
5 Correct 125 ms 11252 KB Output is correct
6 Correct 110 ms 11212 KB Output is correct
7 Correct 119 ms 11364 KB Output is correct
8 Correct 118 ms 14796 KB Output is correct
9 Correct 133 ms 14784 KB Output is correct
10 Correct 120 ms 14568 KB Output is correct
11 Correct 160 ms 14660 KB Output is correct
12 Correct 75 ms 12992 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 2 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 34 ms 1368 KB Output is correct
32 Correct 27 ms 1364 KB Output is correct
33 Correct 30 ms 1608 KB Output is correct
34 Correct 28 ms 2576 KB Output is correct
35 Correct 25 ms 2516 KB Output is correct
36 Correct 23 ms 2516 KB Output is correct
37 Correct 26 ms 2148 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 69 ms 10480 KB Output is correct
48 Correct 66 ms 10588 KB Output is correct
49 Correct 79 ms 11428 KB Output is correct
50 Correct 73 ms 12444 KB Output is correct
51 Correct 76 ms 12488 KB Output is correct
52 Correct 76 ms 12492 KB Output is correct
53 Correct 31 ms 9752 KB Output is correct
54 Correct 100 ms 11132 KB Output is correct
55 Correct 111 ms 11088 KB Output is correct
56 Correct 161 ms 11128 KB Output is correct
57 Correct 144 ms 11592 KB Output is correct
58 Correct 114 ms 11660 KB Output is correct
59 Correct 119 ms 11344 KB Output is correct
60 Correct 128 ms 11224 KB Output is correct
61 Correct 116 ms 11364 KB Output is correct
62 Correct 70 ms 10580 KB Output is correct
63 Correct 110 ms 10996 KB Output is correct
64 Correct 106 ms 10756 KB Output is correct
65 Correct 110 ms 10972 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 103 ms 14280 KB Output is correct
68 Correct 108 ms 14340 KB Output is correct
69 Correct 156 ms 14248 KB Output is correct
70 Correct 131 ms 14336 KB Output is correct
71 Correct 116 ms 14264 KB Output is correct
72 Correct 117 ms 14304 KB Output is correct
73 Correct 130 ms 14700 KB Output is correct
74 Correct 121 ms 14740 KB Output is correct
75 Correct 124 ms 14732 KB Output is correct
76 Correct 143 ms 14684 KB Output is correct
77 Correct 71 ms 13016 KB Output is correct
78 Correct 1 ms 340 KB Output is correct
79 Correct 1 ms 468 KB Output is correct
80 Correct 1 ms 468 KB Output is correct
81 Correct 1 ms 460 KB Output is correct
82 Correct 1 ms 468 KB Output is correct
83 Correct 1 ms 468 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 1 ms 468 KB Output is correct
86 Correct 29 ms 2260 KB Output is correct
87 Correct 32 ms 2408 KB Output is correct
88 Correct 37 ms 2520 KB Output is correct
89 Correct 25 ms 2636 KB Output is correct
90 Correct 25 ms 2488 KB Output is correct
91 Correct 25 ms 2464 KB Output is correct
92 Correct 26 ms 2088 KB Output is correct
93 Correct 82 ms 12564 KB Output is correct
94 Correct 83 ms 11628 KB Output is correct
95 Correct 86 ms 11356 KB Output is correct
96 Correct 72 ms 12544 KB Output is correct
97 Correct 70 ms 12464 KB Output is correct
98 Correct 102 ms 12412 KB Output is correct
99 Correct 28 ms 9692 KB Output is correct
100 Correct 147 ms 14388 KB Output is correct
101 Correct 121 ms 14412 KB Output is correct
102 Correct 158 ms 14528 KB Output is correct
103 Correct 118 ms 14028 KB Output is correct
104 Correct 103 ms 13760 KB Output is correct
105 Correct 112 ms 14060 KB Output is correct
106 Correct 141 ms 13704 KB Output is correct
107 Correct 157 ms 13700 KB Output is correct
108 Correct 117 ms 13376 KB Output is correct
109 Correct 114 ms 13264 KB Output is correct
110 Correct 147 ms 14308 KB Output is correct
111 Correct 157 ms 14324 KB Output is correct