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Submission #653898

# Submission time Handle Problem Language Result Execution time Memory
653898 2022-10-28T19:17:16 Z atigun Event Hopping (BOI22_events) C++14
100 / 100
 228 ms 63580 KB 
#include<bits/stdc++.h>

using namespace std;
typedef long long ll;

const int maxn = 1e5;

struct interval{
  int L, R;
};

int n, qq;
vector<interval> a(maxn+5);
vector<vector<int>> BL(30, vector<int>(2*maxn+5, -1));

template<typename T>
struct RMQ{
  vector<vector<T>> table;
  int sz, log_sz;
  RMQ(vector<T>& a, int n) : sz(n), log_sz(__lg(n)){
    table.resize(log_sz+5);
    for(int i = 0; i < log_sz+5; i++)
      table[i].resize(n+5, {1e9, 1e9});
    table[0] = a;
    for(int jump = 1; jump <= log_sz; jump++)
      for(int i = 0; i+(1<<(jump-1)) < n; i++)
        table[jump][i] = min(table[jump-1][i], table[jump-1][i+(1<<(jump-1))]);
  }
  T get(int l, int r){
    if(l > r)
      swap(l, r);
    int LogN = __lg(r-l+1);
    return min(table[LogN][l], table[LogN][r-(1<<(LogN))+1]);
  }
};

void compress(){
  vector<int> values(2*n), compressed(2*n);
  for(int i = 0; i < 2*n; i+= 2){
    values[i] = a[i/2].L;
    values[i+1] = a[i/2].R;
  }
  sort(values.begin(), values.end());
  int timer = 0;
  compressed[0] = timer;
  for(int i = 1; i < 2*n; i++){
    if(values[i] == values[i-1]){
      compressed[i] = timer;
    }else{
      compressed[i] = ++timer;
    }
  }
  for(int i = 0; i < n; i++){
    a[i].L = compressed[lower_bound(values.begin(), values.end(), a[i].L)-values.begin()];
    a[i].R = compressed[lower_bound(values.begin(), values.end(), a[i].R)-values.begin()];
  }
}

void solve(){
  cin >> n >> qq;
  for(int i = 0; i < n; i++)
    cin >> a[i].L >> a[i].R;
  compress();
  vector<pair<int, int>> ST_beg(2*maxn+5, {1e9, 1e9});
  for(int i = 0; i < n; i++)
    ST_beg[a[i].R] = min(make_pair(a[i].L, i), ST_beg[a[i].R]);
  RMQ<pair<int, int>> ST(ST_beg, 2*maxn);
  for(int i = 0; i < n; i++){
    pair<int, int> got = ST.get(a[i].L, a[i].R);
    if(got.first < a[i].L)
      BL[0][i] = got.second;
  }
  for(int jump = 1; jump < 30; jump++){
    for(int v = 0; v < n; v++){
      if(BL[jump-1][v] != -1)
        BL[jump][v] = BL[jump-1][BL[jump-1][v]];
    }
  }
  while(qq--){
    int s, e;
    cin >> s >> e;
    s--, e--;
    if(s != e && a[s].L == a[e].L && a[s].R == a[e].R){
      cout << 1 << "\n";
      continue;
    }
    int k = 0;
    for(int jump = 20; jump >= 0; jump--){
      if(a[e].L <= a[s].R && a[e].R >= a[s].R)
        break;
      if(BL[jump][e] != -1 && a[BL[jump][e]].L > a[s].R){
        k+= (1<<jump);
        e = BL[jump][e];
      }
    }
    if(a[e].L > a[s].R){
      k++;
      e = BL[0][e];
    }
    if(a[e].R == a[s].R && a[e].L == a[s].L){
      cout << k << "\n";
    }else if(a[e].R >= a[s].R && a[e].L <= a[s].R){
      cout << k+1 << "\n";
    }else{
      cout << "impossible\n";
    }
  }
}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);
  int tt = 1;
  // cin >> tt;
  while(tt--){
    solve();
  }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 60664 KB Output is correct
2 Correct 118 ms 62464 KB Output is correct
3 Correct 172 ms 62092 KB Output is correct
4 Correct 184 ms 62212 KB Output is correct
5 Correct 156 ms 62264 KB Output is correct
6 Correct 151 ms 62308 KB Output is correct
7 Correct 171 ms 62288 KB Output is correct
8 Correct 152 ms 62596 KB Output is correct
9 Correct 138 ms 62776 KB Output is correct
10 Correct 190 ms 62640 KB Output is correct
11 Correct 183 ms 62524 KB Output is correct
12 Correct 110 ms 62664 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 60640 KB Output is correct
2 Correct 29 ms 60612 KB Output is correct
3 Correct 31 ms 60732 KB Output is correct
4 Correct 31 ms 60680 KB Output is correct
5 Correct 34 ms 60660 KB Output is correct
6 Correct 36 ms 60748 KB Output is correct
7 Correct 39 ms 60744 KB Output is correct
8 Correct 30 ms 60712 KB Output is correct
9 Correct 31 ms 60740 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 60640 KB Output is correct
2 Correct 29 ms 60612 KB Output is correct
3 Correct 31 ms 60732 KB Output is correct
4 Correct 31 ms 60680 KB Output is correct
5 Correct 34 ms 60660 KB Output is correct
6 Correct 36 ms 60748 KB Output is correct
7 Correct 39 ms 60744 KB Output is correct
8 Correct 30 ms 60712 KB Output is correct
9 Correct 31 ms 60740 KB Output is correct
10 Correct 30 ms 60596 KB Output is correct
11 Correct 31 ms 60656 KB Output is correct
12 Correct 30 ms 60676 KB Output is correct
13 Correct 31 ms 60656 KB Output is correct
14 Correct 40 ms 60656 KB Output is correct
15 Correct 34 ms 60740 KB Output is correct
16 Correct 35 ms 60740 KB Output is correct
17 Correct 31 ms 60744 KB Output is correct
18 Correct 31 ms 60736 KB Output is correct
19 Correct 63 ms 62140 KB Output is correct
20 Correct 67 ms 62168 KB Output is correct
21 Correct 74 ms 62440 KB Output is correct
22 Correct 59 ms 62408 KB Output is correct
23 Correct 59 ms 62252 KB Output is correct
24 Correct 64 ms 62284 KB Output is correct
25 Correct 64 ms 61956 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 60640 KB Output is correct
2 Correct 29 ms 60612 KB Output is correct
3 Correct 31 ms 60732 KB Output is correct
4 Correct 31 ms 60680 KB Output is correct
5 Correct 34 ms 60660 KB Output is correct
6 Correct 36 ms 60748 KB Output is correct
7 Correct 39 ms 60744 KB Output is correct
8 Correct 30 ms 60712 KB Output is correct
9 Correct 31 ms 60740 KB Output is correct
10 Correct 32 ms 60640 KB Output is correct
11 Correct 32 ms 60708 KB Output is correct
12 Correct 32 ms 60684 KB Output is correct
13 Correct 32 ms 60688 KB Output is correct
14 Correct 33 ms 60648 KB Output is correct
15 Correct 33 ms 60660 KB Output is correct
16 Correct 32 ms 60760 KB Output is correct
17 Correct 33 ms 60652 KB Output is correct
18 Correct 32 ms 60808 KB Output is correct
19 Correct 98 ms 61724 KB Output is correct
20 Correct 94 ms 61728 KB Output is correct
21 Correct 103 ms 61660 KB Output is correct
22 Correct 103 ms 61628 KB Output is correct
23 Correct 101 ms 61652 KB Output is correct
24 Correct 105 ms 61660 KB Output is correct
25 Correct 58 ms 61608 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 61388 KB Output is correct
2 Correct 141 ms 61392 KB Output is correct
3 Correct 224 ms 61400 KB Output is correct
4 Correct 123 ms 61876 KB Output is correct
5 Correct 188 ms 61704 KB Output is correct
6 Correct 181 ms 62372 KB Output is correct
7 Correct 181 ms 62552 KB Output is correct
8 Correct 172 ms 62912 KB Output is correct
9 Correct 95 ms 61580 KB Output is correct
10 Correct 174 ms 62308 KB Output is correct
11 Correct 135 ms 61960 KB Output is correct
12 Correct 141 ms 62240 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 60664 KB Output is correct
2 Correct 118 ms 62464 KB Output is correct
3 Correct 172 ms 62092 KB Output is correct
4 Correct 184 ms 62212 KB Output is correct
5 Correct 156 ms 62264 KB Output is correct
6 Correct 151 ms 62308 KB Output is correct
7 Correct 171 ms 62288 KB Output is correct
8 Correct 152 ms 62596 KB Output is correct
9 Correct 138 ms 62776 KB Output is correct
10 Correct 190 ms 62640 KB Output is correct
11 Correct 183 ms 62524 KB Output is correct
12 Correct 110 ms 62664 KB Output is correct
13 Correct 34 ms 60640 KB Output is correct
14 Correct 29 ms 60612 KB Output is correct
15 Correct 31 ms 60732 KB Output is correct
16 Correct 31 ms 60680 KB Output is correct
17 Correct 34 ms 60660 KB Output is correct
18 Correct 36 ms 60748 KB Output is correct
19 Correct 39 ms 60744 KB Output is correct
20 Correct 30 ms 60712 KB Output is correct
21 Correct 31 ms 60740 KB Output is correct
22 Correct 30 ms 60596 KB Output is correct
23 Correct 31 ms 60656 KB Output is correct
24 Correct 30 ms 60676 KB Output is correct
25 Correct 31 ms 60656 KB Output is correct
26 Correct 40 ms 60656 KB Output is correct
27 Correct 34 ms 60740 KB Output is correct
28 Correct 35 ms 60740 KB Output is correct
29 Correct 31 ms 60744 KB Output is correct
30 Correct 31 ms 60736 KB Output is correct
31 Correct 63 ms 62140 KB Output is correct
32 Correct 67 ms 62168 KB Output is correct
33 Correct 74 ms 62440 KB Output is correct
34 Correct 59 ms 62408 KB Output is correct
35 Correct 59 ms 62252 KB Output is correct
36 Correct 64 ms 62284 KB Output is correct
37 Correct 64 ms 61956 KB Output is correct
38 Correct 32 ms 60640 KB Output is correct
39 Correct 32 ms 60708 KB Output is correct
40 Correct 32 ms 60684 KB Output is correct
41 Correct 32 ms 60688 KB Output is correct
42 Correct 33 ms 60648 KB Output is correct
43 Correct 33 ms 60660 KB Output is correct
44 Correct 32 ms 60760 KB Output is correct
45 Correct 33 ms 60652 KB Output is correct
46 Correct 32 ms 60808 KB Output is correct
47 Correct 98 ms 61724 KB Output is correct
48 Correct 94 ms 61728 KB Output is correct
49 Correct 103 ms 61660 KB Output is correct
50 Correct 103 ms 61628 KB Output is correct
51 Correct 101 ms 61652 KB Output is correct
52 Correct 105 ms 61660 KB Output is correct
53 Correct 58 ms 61608 KB Output is correct
54 Correct 116 ms 61388 KB Output is correct
55 Correct 141 ms 61392 KB Output is correct
56 Correct 224 ms 61400 KB Output is correct
57 Correct 123 ms 61876 KB Output is correct
58 Correct 188 ms 61704 KB Output is correct
59 Correct 181 ms 62372 KB Output is correct
60 Correct 181 ms 62552 KB Output is correct
61 Correct 172 ms 62912 KB Output is correct
62 Correct 95 ms 61580 KB Output is correct
63 Correct 174 ms 62308 KB Output is correct
64 Correct 135 ms 61960 KB Output is correct
65 Correct 141 ms 62240 KB Output is correct
66 Correct 31 ms 60652 KB Output is correct
67 Correct 134 ms 63092 KB Output is correct
68 Correct 143 ms 63044 KB Output is correct
69 Correct 228 ms 63072 KB Output is correct
70 Correct 157 ms 63164 KB Output is correct
71 Correct 181 ms 63144 KB Output is correct
72 Correct 145 ms 63172 KB Output is correct
73 Correct 120 ms 63580 KB Output is correct
74 Correct 129 ms 63520 KB Output is correct
75 Correct 178 ms 63472 KB Output is correct
76 Correct 153 ms 63460 KB Output is correct
77 Correct 92 ms 62760 KB Output is correct
78 Correct 35 ms 60640 KB Output is correct
79 Correct 33 ms 60680 KB Output is correct
80 Correct 34 ms 60740 KB Output is correct
81 Correct 32 ms 60712 KB Output is correct
82 Correct 33 ms 60732 KB Output is correct
83 Correct 40 ms 60632 KB Output is correct
84 Correct 33 ms 60732 KB Output is correct
85 Correct 35 ms 60688 KB Output is correct
86 Correct 62 ms 62168 KB Output is correct
87 Correct 63 ms 62204 KB Output is correct
88 Correct 70 ms 62396 KB Output is correct
89 Correct 60 ms 62396 KB Output is correct
90 Correct 58 ms 62324 KB Output is correct
91 Correct 56 ms 62232 KB Output is correct
92 Correct 67 ms 61964 KB Output is correct
93 Correct 101 ms 61648 KB Output is correct
94 Correct 93 ms 61732 KB Output is correct
95 Correct 96 ms 61692 KB Output is correct
96 Correct 101 ms 61656 KB Output is correct
97 Correct 100 ms 61664 KB Output is correct
98 Correct 101 ms 61772 KB Output is correct
99 Correct 62 ms 61708 KB Output is correct
100 Correct 177 ms 63192 KB Output is correct
101 Correct 165 ms 63192 KB Output is correct
102 Correct 153 ms 63392 KB Output is correct
103 Correct 139 ms 62876 KB Output is correct
104 Correct 142 ms 62708 KB Output is correct
105 Correct 145 ms 62876 KB Output is correct
106 Correct 158 ms 62456 KB Output is correct
107 Correct 168 ms 62492 KB Output is correct
108 Correct 144 ms 63136 KB Output is correct
109 Correct 134 ms 63216 KB Output is correct
110 Correct 144 ms 63364 KB Output is correct
111 Correct 144 ms 63104 KB Output is correct