oj.uz

Submission #1113570

# Submission time Handle Problem Language Result Execution time Memory
1113570 2024-11-16T18:27:35 Z PagodePaiva Alternating Current (BOI18_alternating) C++17
32 / 100
 199 ms 33712 KB 
#include<bits/stdc++.h>
#define fr first
#define sc second

using namespace std;

const int N = 200010;

struct Segtree{
  pair <int, int> tree[4*N]; int lazy[4*N];
  pair <int, int> join(pair <int, int> a, pair <int, int> b){
    if(a.fr < b.fr) return a;
    else if(b.fr < a.fr) return b;
    if(a.sc < b.sc) return a;
    return b;
  }
  void unlazy(int node, int l, int r){
    if(lazy[node] == 0) return;
    tree[node].first = lazy[node];
    tree[node].second = l;
    if(l != r){
      lazy[2*node] = lazy[node];
      lazy[2*node+1] = lazy[node];
    }
    lazy[node] = 0;
  }
  void build(int node, int l,int r){
    lazy[node] = 0;
    if(l == r){
      tree[node] = {0, l};
      return;
    }
    int mid = (l+r)/2;
    build(2*node, l, mid);
    build(2*node+1, mid+1, r);
    tree[node] = join(tree[2*node], tree[2*node+1]);
    return;
  }
  void update(int node, int l, int r, int tl, int tr, int val){
    unlazy(node, tl, tr);
    if(l > tr or tl > r) return;
    if(l <= tl and tr <= r){
      lazy[node] = val;
      unlazy(node, tl, tr);
      return;
    }
    int mid = (tl+tr)/2;
    update(2*node, l, r, tl, mid, val);
    update(2*node+1, l, r, mid+1,tr, val);
    tree[node] = join(tree[2*node], tree[2*node+1]);
    return;
  }
  pair <int, int> query(int node, int l, int r, int tl, int tr){
    unlazy(node, tl, tr);
    if(l > tr or tl > r) return {2, 0};
    if(l <= tl and tr <= r) return tree[node];
    int mid = (tl+tr)/2;
    return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
  }
} seg[2];

struct Segtree2{
  pair <int, int> tree[4*N]; int lazy[4*N];
  pair <int, int> join(pair <int, int> a, pair <int, int> b){
    if(a.fr < b.fr) return a;
    if(a.fr > b.fr) return b;
    return a;
  }
  void unlazy(int node, int l, int r){
    tree[node].first += lazy[node];
    if(l != r){
      lazy[2*node] += lazy[node];
      lazy[2*node+1] += lazy[node];
    }
    lazy[node] = 0;
  }
  void build(int node, int l,int r){
    lazy[node] = 0;
    if(l == r){
      tree[node] = {0, l};
      return;
    }
    int mid = (l+r)/2;
    build(2*node, l, mid);
    build(2*node+1, mid+1, r);
    tree[node] = join(tree[2*node], tree[2*node+1]);
    return;
  }
  void update(int node, int l, int r, int tl, int tr, int val){
    unlazy(node, tl, tr);
    if(l > tr or tl > r) return;
    if(l <= tl and tr <= r){
      lazy[node] += val;
      unlazy(node, tl, tr);
      return;
    }
    int mid = (tl+tr)/2;
    update(2*node, l, r, tl, mid, val);
    update(2*node+1, l, r, mid+1,tr, val);
    tree[node] = join(tree[2*node], tree[2*node+1]);
    return;
  }
  pair <int, int> query(int node, int l, int r, int tl, int tr){
    unlazy(node, tl, tr);
    if(l > tr or tl > r) return {1e9, 0};
    if(l <= tl and tr <= r) return tree[node];
    int mid = (tl+tr)/2;
    return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
  }
} segint;

vector <array <int, 3>> intervalos;
int res[N];

int main(){
  int n, m;
  cin >> n >> m;
  for(int i = 1;i <= m;i++){
    int a, b;
    cin >> a >> b;
    intervalos.push_back({a, -b, i-1});
  }
  sort(intervalos.begin(), intervalos.end());
  for(int i = 0;i < m;i++){
    intervalos[i][1] *= -1;
  }
  segint.build(1, 1, n);
  for(auto [a, b, i] : intervalos){
    if(b > a){
      segint.update(1, a, b-1, 1, n, 1);
    }
    else if(b < a){
      segint.update(1, a, n, 1, n, 1);
      if(b == 1) continue;
      segint.update(1, 1, b-1, 1, n, 1);
    }
  }
  pair <int, int> t = segint.query(1, 1, n, 1, n);
  if(t.fr <= 1){
    seg[0].build(1, 1, n);
    seg[1].build(1, 1, n);
    int st = t.sc+1;
    if(st > n) st = 1;
    map <int, int> aux;
    for(int i = 0;i < n;i++){
      int d = st+i;
      if(d > n) d %= n;
      aux[d] = i+1;
    }
    array <int, 3> amigao = {-1, -1, -1};
    vector <array <int, 3>> aaa;
    for(int i = 0;i < m;i++){
      intervalos[i][0] = aux[intervalos[i][0]];
      intervalos[i][1] = aux[intervalos[i][1]];
      if(intervalos[i][1] < intervalos[i][0]){
        amigao = intervalos[i];
      }
      else{
        aaa.push_back({intervalos[i][0], -intervalos[i][1], intervalos[i][2]});
      }
    }
    intervalos = aaa;
    sort(intervalos.begin(), intervalos.end());
    for(int i = 0;i < intervalos.size();i++){
      intervalos[i][1] *= -1;
    }
    if(amigao[0] != -1){
      res[amigao[2]] = 0;
      seg[0].update(1, amigao[0], n, 1, n, 1);
      seg[0].update(1, 1, amigao[1], 1, n, 1);
      //cout << amigao[0] << ' ' << amigao[1] << '\n';
    }
    for(int i = 0;i < intervalos.size();i++){
      auto [l, r, _] = intervalos[i];
      //cout << l << ' ' << r << '\n';
      pair <int, int> a = seg[0].query(1, l, r, 1, n);
      pair <int, int> b = seg[1].query(1, l, r, 1, n);
      if(a.fr == 1 and b.fr == 1){
        res[_] = 0;
        continue;
      }
      else if(a.fr == 1 and b.fr == 0){
        res[_] = 1;
        seg[1].update(1, l, r, 1, n, 1);
      }
      else if(a.fr == 0 and b.fr == 1){
        res[_] = 0;
        seg[0].update(1, l, r, 1, n, 1);
      }
      else{
        if(a.sc < b.sc){
          res[_] = 0;
          seg[0].update(1, l, r, 1, n, 1);
        }
        else{
          res[_] = 1;
          seg[1].update(1, l, r, 1, n, 1);
        }
      }
    }
    if(seg[0].query(1, 1, n, 1, n).fr != 1 or seg[1].query(1, 1, n, 1, n).fr != 1){
      cout << "impossible\n";
      return 0;
    }
    for(int i = 0;i < m;i++){
      cout << res[i];
    }
    cout << '\n';
    return 0;
  }
  else{
    for(int i = 0;i < m;i++){
      if(intervalos[i][1] < intervalos[i][0]) intervalos[i][1] += n;
      intervalos[i][1] *= -1;
    }
    sort(intervalos.begin(), intervalos.end());
    for(int i = 0;i < m;i++){
      intervalos[i][1] *= -1;
      if(intervalos[i][1] > n) intervalos[i][1] -= n;
    }
    seg[0].build(1, 1, n);
    seg[1].build(1, 1, n);
    for(int i = 0;i < intervalos.size();i++){
      auto [l, r, _] = intervalos[i];
      if(l < r){
        pair <int, int> a = seg[0].query(1, l, r, 1, n);
        pair <int, int> b = seg[1].query(1, l, r, 1, n);
        if(a.fr == 1 and b.fr == 1){
          res[_] = 0;
          continue;
        }
        else if(a.fr == 1 and b.fr == 0){
          res[_] = 1;
          seg[1].update(1, l, r, 1, n, 1);
        }
        else if(a.fr == 0 and b.fr == 1){
          res[_] = 0;
          seg[0].update(1, l, r, 1, n, 1);
        }
        else{
          if(a.sc < b.sc){
            res[_] = 0;
            seg[0].update(1, l, r, 1, n, 1);
          }
          else{
            res[_] = 1;
            seg[1].update(1, l, r, 1, n, 1);
          }
        }
      }
      else{
        pair <int, int> a = seg[0].query(1, l, n, 1, n);
        pair <int, int> b = seg[1].query(1, l, n, 1, n);
        if(a.fr == 1 and b.fr == 1){
          a = seg[0].query(1, 1, r, 1, n);
          b = seg[1].query(1, 1, r, 1, n);
          if(a.fr == 1 and b.fr == 1){
            res[_] = 0;
            continue;
          }
          else if(a.fr == 1 and b.fr == 0){
            res[_] = 1;
            seg[1].update(1, l, n, 1, n, 1);
            seg[1].update(1, 1, r, 1, n, 1);
          }
          else if(a.fr == 0 and b.fr == 1){
            res[_] = 0;
            seg[0].update(1, l, n, 1, n, 1);
            seg[0].update(1, 1, r, 1, n, 1);
          }
          else{
            if(a.sc < b.sc){
              res[_] = 0;
              seg[0].update(1, l, n, 1, n, 1);
              seg[0].update(1, 1, r, 1, n, 1);
            }
            else{
              res[_] = 1;
              seg[1].update(1, l, n, 1, n, 1);
              seg[1].update(1, 1, r, 1, n, 1);
            }
          }
          continue;
        }
        else if(a.fr == 1 and b.fr == 0){
          res[_] = 1;
          seg[1].update(1, l, n, 1, n, 1);
          seg[1].update(1, 1, r, 1, n, 1);
        }
        else if(a.fr == 0 and b.fr == 1){
          res[_] = 0;
          seg[0].update(1, l, n, 1, n, 1);
          seg[0].update(1, 1, r, 1, n, 1);
        }
        else{
          if(a.sc < b.sc){
            res[_] = 0;
            seg[0].update(1, l, n, 1, n, 1);
            seg[0].update(1, 1, r, 1, n, 1);
          }
          else{
            res[_] = 1;
            seg[1].update(1, l, n, 1, n, 1);
            seg[1].update(1, 1, r, 1, n, 1);
          }
        }
      }
    }
    for(int i = 0;i < m;i++){
      cout << res[i];
    }
    cout << '\n';
  }
}

Compilation message

alternating.cpp: In function 'int main()':
alternating.cpp:164:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  164 |     for(int i = 0;i < intervalos.size();i++){
      |                   ~~^~~~~~~~~~~~~~~~~~~
alternating.cpp:173:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  173 |     for(int i = 0;i < intervalos.size();i++){
      |                   ~~^~~~~~~~~~~~~~~~~~~
alternating.cpp:223:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  223 |     for(int i = 0;i < intervalos.size();i++){
      |                   ~~^~~~~~~~~~~~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 24912 KB Output is correct
2 Correct 4 ms 25024 KB Output is correct
3 Correct 5 ms 23540 KB Output is correct
4 Correct 9 ms 22136 KB Output is correct
5 Correct 12 ms 22204 KB Output is correct
6 Correct 8 ms 22096 KB Output is correct
7 Correct 8 ms 22096 KB Output is correct
8 Correct 9 ms 22096 KB Output is correct
9 Correct 6 ms 23632 KB Output is correct
10 Correct 9 ms 22096 KB Output is correct
11 Correct 10 ms 22108 KB Output is correct
12 Correct 12 ms 21072 KB Output is correct
13 Correct 11 ms 21072 KB Output is correct
14 Correct 10 ms 22096 KB Output is correct
15 Correct 10 ms 21072 KB Output is correct
16 Correct 11 ms 21072 KB Output is correct
17 Correct 9 ms 21976 KB Output is correct
18 Correct 9 ms 22096 KB Output is correct
19 Correct 5 ms 23632 KB Output is correct
20 Correct 6 ms 23632 KB Output is correct
21 Correct 10 ms 21072 KB Output is correct
22 Correct 10 ms 21072 KB Output is correct
23 Correct 9 ms 22096 KB Output is correct
24 Correct 7 ms 22096 KB Output is correct
25 Correct 5 ms 23800 KB Output is correct
26 Correct 5 ms 23800 KB Output is correct
27 Correct 6 ms 23632 KB Output is correct
28 Correct 7 ms 22096 KB Output is correct
29 Correct 7 ms 23120 KB Output is correct
30 Correct 9 ms 22140 KB Output is correct
31 Correct 9 ms 22096 KB Output is correct
32 Correct 7 ms 22096 KB Output is correct
33 Correct 9 ms 22096 KB Output is correct
34 Correct 7 ms 22264 KB Output is correct
35 Correct 6 ms 23632 KB Output is correct
36 Correct 6 ms 23632 KB Output is correct
37 Correct 7 ms 22096 KB Output is correct
38 Correct 8 ms 22096 KB Output is correct
39 Correct 7 ms 23120 KB Output is correct
40 Correct 7 ms 23120 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 24912 KB Output is correct
2 Correct 4 ms 25024 KB Output is correct
3 Correct 5 ms 23540 KB Output is correct
4 Correct 9 ms 22136 KB Output is correct
5 Correct 12 ms 22204 KB Output is correct
6 Correct 8 ms 22096 KB Output is correct
7 Correct 8 ms 22096 KB Output is correct
8 Correct 9 ms 22096 KB Output is correct
9 Correct 6 ms 23632 KB Output is correct
10 Correct 9 ms 22096 KB Output is correct
11 Correct 10 ms 22108 KB Output is correct
12 Correct 12 ms 21072 KB Output is correct
13 Correct 11 ms 21072 KB Output is correct
14 Correct 10 ms 22096 KB Output is correct
15 Correct 10 ms 21072 KB Output is correct
16 Correct 11 ms 21072 KB Output is correct
17 Correct 9 ms 21976 KB Output is correct
18 Correct 9 ms 22096 KB Output is correct
19 Correct 5 ms 23632 KB Output is correct
20 Correct 6 ms 23632 KB Output is correct
21 Correct 10 ms 21072 KB Output is correct
22 Correct 10 ms 21072 KB Output is correct
23 Correct 9 ms 22096 KB Output is correct
24 Correct 7 ms 22096 KB Output is correct
25 Correct 5 ms 23800 KB Output is correct
26 Correct 5 ms 23800 KB Output is correct
27 Correct 6 ms 23632 KB Output is correct
28 Correct 7 ms 22096 KB Output is correct
29 Correct 7 ms 23120 KB Output is correct
30 Correct 9 ms 22140 KB Output is correct
31 Correct 9 ms 22096 KB Output is correct
32 Correct 7 ms 22096 KB Output is correct
33 Correct 9 ms 22096 KB Output is correct
34 Correct 7 ms 22264 KB Output is correct
35 Correct 6 ms 23632 KB Output is correct
36 Correct 6 ms 23632 KB Output is correct
37 Correct 7 ms 22096 KB Output is correct
38 Correct 8 ms 22096 KB Output is correct
39 Correct 7 ms 23120 KB Output is correct
40 Correct 7 ms 23120 KB Output is correct
41 Correct 7 ms 23120 KB Output is correct
42 Incorrect 4 ms 24912 KB 'impossible' claimed, but there is a solution
43 Halted 0 ms 0 KB -

Subtask #3
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 24912 KB Output is correct
2 Correct 4 ms 25024 KB Output is correct
3 Correct 5 ms 23540 KB Output is correct
4 Correct 9 ms 22136 KB Output is correct
5 Correct 12 ms 22204 KB Output is correct
6 Correct 8 ms 22096 KB Output is correct
7 Correct 8 ms 22096 KB Output is correct
8 Correct 9 ms 22096 KB Output is correct
9 Correct 6 ms 23632 KB Output is correct
10 Correct 9 ms 22096 KB Output is correct
11 Correct 10 ms 22108 KB Output is correct
12 Correct 12 ms 21072 KB Output is correct
13 Correct 11 ms 21072 KB Output is correct
14 Correct 10 ms 22096 KB Output is correct
15 Correct 10 ms 21072 KB Output is correct
16 Correct 11 ms 21072 KB Output is correct
17 Correct 9 ms 21976 KB Output is correct
18 Correct 9 ms 22096 KB Output is correct
19 Correct 5 ms 23632 KB Output is correct
20 Correct 6 ms 23632 KB Output is correct
21 Correct 10 ms 21072 KB Output is correct
22 Correct 10 ms 21072 KB Output is correct
23 Correct 9 ms 22096 KB Output is correct
24 Correct 7 ms 22096 KB Output is correct
25 Correct 5 ms 23800 KB Output is correct
26 Correct 5 ms 23800 KB Output is correct
27 Correct 6 ms 23632 KB Output is correct
28 Correct 7 ms 22096 KB Output is correct
29 Correct 7 ms 23120 KB Output is correct
30 Correct 9 ms 22140 KB Output is correct
31 Correct 9 ms 22096 KB Output is correct
32 Correct 7 ms 22096 KB Output is correct
33 Correct 9 ms 22096 KB Output is correct
34 Correct 7 ms 22264 KB Output is correct
35 Correct 6 ms 23632 KB Output is correct
36 Correct 6 ms 23632 KB Output is correct
37 Correct 7 ms 22096 KB Output is correct
38 Correct 8 ms 22096 KB Output is correct
39 Correct 7 ms 23120 KB Output is correct
40 Correct 7 ms 23120 KB Output is correct
41 Correct 7 ms 23120 KB Output is correct
42 Incorrect 4 ms 24912 KB 'impossible' claimed, but there is a solution
43 Halted 0 ms 0 KB -

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 99 ms 33212 KB Output is correct
2 Correct 27 ms 29776 KB Output is correct
3 Correct 93 ms 31424 KB Output is correct
4 Correct 94 ms 31296 KB Output is correct
5 Correct 143 ms 33128 KB Output is correct
6 Correct 152 ms 33212 KB Output is correct
7 Correct 128 ms 33044 KB Output is correct
8 Correct 33 ms 29772 KB Output is correct
9 Correct 29 ms 29460 KB Output is correct
10 Correct 153 ms 32204 KB Output is correct
11 Correct 119 ms 32744 KB Output is correct
12 Correct 116 ms 33124 KB Output is correct
13 Correct 23 ms 30812 KB Output is correct
14 Correct 24 ms 29776 KB Output is correct
15 Correct 124 ms 33096 KB Output is correct
16 Correct 99 ms 31944 KB Output is correct
17 Correct 199 ms 33712 KB Output is correct
18 Correct 129 ms 26948 KB Output is correct
19 Correct 35 ms 30544 KB Output is correct
20 Correct 114 ms 31164 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 24912 KB Output is correct
2 Correct 4 ms 25024 KB Output is correct
3 Correct 5 ms 23540 KB Output is correct
4 Correct 9 ms 22136 KB Output is correct
5 Correct 12 ms 22204 KB Output is correct
6 Correct 8 ms 22096 KB Output is correct
7 Correct 8 ms 22096 KB Output is correct
8 Correct 9 ms 22096 KB Output is correct
9 Correct 6 ms 23632 KB Output is correct
10 Correct 9 ms 22096 KB Output is correct
11 Correct 10 ms 22108 KB Output is correct
12 Correct 12 ms 21072 KB Output is correct
13 Correct 11 ms 21072 KB Output is correct
14 Correct 10 ms 22096 KB Output is correct
15 Correct 10 ms 21072 KB Output is correct
16 Correct 11 ms 21072 KB Output is correct
17 Correct 9 ms 21976 KB Output is correct
18 Correct 9 ms 22096 KB Output is correct
19 Correct 5 ms 23632 KB Output is correct
20 Correct 6 ms 23632 KB Output is correct
21 Correct 10 ms 21072 KB Output is correct
22 Correct 10 ms 21072 KB Output is correct
23 Correct 9 ms 22096 KB Output is correct
24 Correct 7 ms 22096 KB Output is correct
25 Correct 5 ms 23800 KB Output is correct
26 Correct 5 ms 23800 KB Output is correct
27 Correct 6 ms 23632 KB Output is correct
28 Correct 7 ms 22096 KB Output is correct
29 Correct 7 ms 23120 KB Output is correct
30 Correct 9 ms 22140 KB Output is correct
31 Correct 9 ms 22096 KB Output is correct
32 Correct 7 ms 22096 KB Output is correct
33 Correct 9 ms 22096 KB Output is correct
34 Correct 7 ms 22264 KB Output is correct
35 Correct 6 ms 23632 KB Output is correct
36 Correct 6 ms 23632 KB Output is correct
37 Correct 7 ms 22096 KB Output is correct
38 Correct 8 ms 22096 KB Output is correct
39 Correct 7 ms 23120 KB Output is correct
40 Correct 7 ms 23120 KB Output is correct
41 Correct 7 ms 23120 KB Output is correct
42 Incorrect 4 ms 24912 KB 'impossible' claimed, but there is a solution
43 Halted 0 ms 0 KB -