oj.uz

Submission #875869

# Submission time Handle Problem Language Result Execution time Memory
875869 2023-11-20T16:21:38 Z awu Construction of Highway (JOI18_construction) C++14
100 / 100
 1626 ms 31972 KB 
#include <bits/extc++.h>
using namespace __gnu_pbds;
using namespace std;

// #define int long long
#define ll long long
// #define double long double
#define all(x) x.begin(), x.end()
#define debug(x) do{auto _x = x; cerr << #x << " = " << _x << endl;} while(0)
#define f first
#define s second
// #define endl '\n'

using pii = pair<int, int>;

const int inf = 1 << 30;
// const ll inf = 1ll << 62;

pii t[262144];
int n;
void init(int s) {
  n = 1;
  while(n < s) n *= 2;
}
void update(int i, pii v) {
  for(t[i += n] = v; i > 1; i /= 2) {
    t[i / 2] = max(t[i], t[i ^ 1]);
  }
}
pii query(int l, int r) {
  pii res = {-1, -1};
  for(l += n, r += n; l < r; l /= 2, r /= 2) {
    if(l & 1) res = max(res, t[l++]);
    if(r & 1) res = max(res, t[--r]);
  }
  return res;
}

signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n; cin >> n;
  vector<int> c(n);
  for(int i = 0; i < n; i++) {
    cin >> c[i];
  }
  vector<pii> el;
  vector<vector<int>> ch(n);
  for(int i = 0; i < n - 1; i++) {
    int a, b; cin >> a >> b; a--; b--;
    ch[a].push_back(b);
    el.push_back({a, b});
  }
  vector<int> d(n);
  vector<vector<int>> jmp(n, vector<int>(ceil(log2(n))));
  vector<int> tin(n), tout(n);
  int time = 0;
  function<void(int)> dfs = [&](int cur) {
    tin[cur] = time++;
    for(int i = 1; i < log2(n); i++) {
      jmp[cur][i] = jmp[jmp[cur][i - 1]][i - 1];
    }
    for(auto i : ch[cur]) {
      jmp[i][0] = cur;
      d[i] = d[cur] + 1;
      dfs(i);
    }
    tout[cur] = time;
  };
  dfs(0);
  init(n);
  update(0, {-1, c[0]});
  for(int i = 0; i < n - 1; i++) {
    vector<pii> v;
    int cur = el[i].f;
    while(true) {
      int od = d[cur];
      pii curv = query(tin[cur], tout[cur]);
      for(int i = ceil(log2(n)) - 1; i >= 0; i--) {
        int nxt = jmp[cur][i];
        if(query(tin[nxt], tout[nxt]).f == curv.f) {
          cur = nxt;
        }
      }
      v.push_back({curv.s, od - d[cur] + 1});
      if(cur == 0) break;
      cur = jmp[cur][0];
    }
    int ans = 0;
    function<vector<pii>(int, int)> dnc = [&](int l, int r) {
      if(l + 1 == r) return vector<pii>{v[l]};
      int m = (l + r) / 2;
      auto lv = dnc(l, m), rv = dnc(m, r);
      vector<pii> res;
      int i = 0, j = 0, x = 0;
      while(j < rv.size()) {
        if(i < lv.size() && lv[i].f < rv[j].f) {
          res.push_back(lv[i]);
          x += lv[i].s;
          i++;
        } else {
          res.push_back(rv[j]);
          ans += x * rv[j].s;
          j++;
        }
      }
      while(i < lv.size()) {
        res.push_back(lv[i]);
        i++;
      }
      return res;
    };
    dnc(0, v.size());
    cout << ans << '\n';
    update(tin[el[i].s], {i, c[el[i].s]});
  }
}

Compilation message

construction.cpp: In lambda function:
construction.cpp:96:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |       while(j < rv.size()) {
      |             ~~^~~~~~~~~~~
construction.cpp:97:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |         if(i < lv.size() && lv[i].f < rv[j].f) {
      |            ~~^~~~~~~~~~~
construction.cpp:107:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |       while(i < lv.size()) {
      |             ~~^~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 3 ms 348 KB Output is correct
17 Correct 3 ms 348 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 568 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 2 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 504 KB Output is correct
44 Correct 1 ms 348 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 3 ms 348 KB Output is correct
17 Correct 3 ms 348 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 568 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 2 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 504 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 13 ms 1116 KB Output is correct
47 Correct 13 ms 1116 KB Output is correct
48 Correct 14 ms 1116 KB Output is correct
49 Correct 5 ms 1628 KB Output is correct
50 Correct 5 ms 1628 KB Output is correct
51 Correct 5 ms 1628 KB Output is correct
52 Correct 7 ms 1320 KB Output is correct
53 Correct 7 ms 1372 KB Output is correct
54 Correct 7 ms 1372 KB Output is correct
55 Correct 7 ms 1372 KB Output is correct
56 Correct 7 ms 1372 KB Output is correct
57 Correct 26 ms 1200 KB Output is correct
58 Correct 27 ms 1116 KB Output is correct
59 Correct 27 ms 1116 KB Output is correct
60 Correct 32 ms 1064 KB Output is correct
61 Correct 7 ms 1368 KB Output is correct
62 Correct 7 ms 1372 KB Output is correct
63 Correct 7 ms 1396 KB Output is correct
64 Correct 13 ms 1184 KB Output is correct
65 Correct 13 ms 1116 KB Output is correct
66 Correct 13 ms 1184 KB Output is correct
67 Correct 13 ms 1116 KB Output is correct
68 Correct 5 ms 1416 KB Output is correct
69 Correct 6 ms 1368 KB Output is correct
70 Correct 7 ms 1372 KB Output is correct
71 Correct 9 ms 1368 KB Output is correct
72 Correct 26 ms 1192 KB Output is correct
73 Correct 27 ms 1168 KB Output is correct
74 Correct 7 ms 1372 KB Output is correct
75 Correct 6 ms 1116 KB Output is correct
76 Correct 6 ms 1260 KB Output is correct
77 Correct 8 ms 1112 KB Output is correct
78 Correct 7 ms 1112 KB Output is correct
79 Correct 8 ms 1116 KB Output is correct
80 Correct 7 ms 1220 KB Output is correct
81 Correct 8 ms 1280 KB Output is correct
82 Correct 10 ms 1112 KB Output is correct
83 Correct 8 ms 1116 KB Output is correct
84 Correct 8 ms 1116 KB Output is correct
85 Correct 8 ms 1236 KB Output is correct
86 Correct 8 ms 1116 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 3 ms 348 KB Output is correct
17 Correct 3 ms 348 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 568 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 2 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 504 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 13 ms 1116 KB Output is correct
47 Correct 13 ms 1116 KB Output is correct
48 Correct 14 ms 1116 KB Output is correct
49 Correct 5 ms 1628 KB Output is correct
50 Correct 5 ms 1628 KB Output is correct
51 Correct 5 ms 1628 KB Output is correct
52 Correct 7 ms 1320 KB Output is correct
53 Correct 7 ms 1372 KB Output is correct
54 Correct 7 ms 1372 KB Output is correct
55 Correct 7 ms 1372 KB Output is correct
56 Correct 7 ms 1372 KB Output is correct
57 Correct 26 ms 1200 KB Output is correct
58 Correct 27 ms 1116 KB Output is correct
59 Correct 27 ms 1116 KB Output is correct
60 Correct 32 ms 1064 KB Output is correct
61 Correct 7 ms 1368 KB Output is correct
62 Correct 7 ms 1372 KB Output is correct
63 Correct 7 ms 1396 KB Output is correct
64 Correct 13 ms 1184 KB Output is correct
65 Correct 13 ms 1116 KB Output is correct
66 Correct 13 ms 1184 KB Output is correct
67 Correct 13 ms 1116 KB Output is correct
68 Correct 5 ms 1416 KB Output is correct
69 Correct 6 ms 1368 KB Output is correct
70 Correct 7 ms 1372 KB Output is correct
71 Correct 9 ms 1368 KB Output is correct
72 Correct 26 ms 1192 KB Output is correct
73 Correct 27 ms 1168 KB Output is correct
74 Correct 7 ms 1372 KB Output is correct
75 Correct 6 ms 1116 KB Output is correct
76 Correct 6 ms 1260 KB Output is correct
77 Correct 8 ms 1112 KB Output is correct
78 Correct 7 ms 1112 KB Output is correct
79 Correct 8 ms 1116 KB Output is correct
80 Correct 7 ms 1220 KB Output is correct
81 Correct 8 ms 1280 KB Output is correct
82 Correct 10 ms 1112 KB Output is correct
83 Correct 8 ms 1116 KB Output is correct
84 Correct 8 ms 1116 KB Output is correct
85 Correct 8 ms 1236 KB Output is correct
86 Correct 8 ms 1116 KB Output is correct
87 Correct 39 ms 2344 KB Output is correct
88 Correct 178 ms 6520 KB Output is correct
89 Correct 707 ms 20956 KB Output is correct
90 Correct 704 ms 20936 KB Output is correct
91 Correct 731 ms 20972 KB Output is correct
92 Correct 217 ms 31688 KB Output is correct
93 Correct 255 ms 31972 KB Output is correct
94 Correct 207 ms 31508 KB Output is correct
95 Correct 281 ms 26824 KB Output is correct
96 Correct 321 ms 27336 KB Output is correct
97 Correct 288 ms 27076 KB Output is correct
98 Correct 356 ms 27340 KB Output is correct
99 Correct 316 ms 25544 KB Output is correct
100 Correct 1617 ms 21016 KB Output is correct
101 Correct 1602 ms 21484 KB Output is correct
102 Correct 1595 ms 21472 KB Output is correct
103 Correct 1614 ms 21444 KB Output is correct
104 Correct 371 ms 25412 KB Output is correct
105 Correct 348 ms 25484 KB Output is correct
106 Correct 348 ms 25624 KB Output is correct
107 Correct 723 ms 20120 KB Output is correct
108 Correct 713 ms 20172 KB Output is correct
109 Correct 763 ms 20328 KB Output is correct
110 Correct 239 ms 30916 KB Output is correct
111 Correct 299 ms 26756 KB Output is correct
112 Correct 339 ms 26560 KB Output is correct
113 Correct 279 ms 24788 KB Output is correct
114 Correct 1589 ms 20928 KB Output is correct
115 Correct 1626 ms 20808 KB Output is correct
116 Correct 361 ms 24772 KB Output is correct
117 Correct 285 ms 22888 KB Output is correct
118 Correct 266 ms 21956 KB Output is correct
119 Correct 268 ms 21700 KB Output is correct
120 Correct 291 ms 22476 KB Output is correct
121 Correct 283 ms 21964 KB Output is correct
122 Correct 264 ms 21444 KB Output is correct
123 Correct 425 ms 22984 KB Output is correct
124 Correct 433 ms 22232 KB Output is correct
125 Correct 417 ms 21788 KB Output is correct
126 Correct 428 ms 22544 KB Output is correct
127 Correct 434 ms 21704 KB Output is correct
128 Correct 421 ms 21444 KB Output is correct