oj.uz

Submission #314919

# Submission time Handle Problem Language Result Execution time Memory
314919 2020-10-21T16:02:37 Z VROOM_VARUN Race (IOI11_race) C++14
100 / 100
 1701 ms 59924 KB 
/*
ID: varunra2
LANG: C++
TASK: race
*/

#include <bits/stdc++.h>
using namespace std;

#ifdef DEBUG
#include "lib/debug.h"
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define debug_arr(...) \
  cerr << "[" << #__VA_ARGS__ << "]:", debug_arr(__VA_ARGS__)
#pragma GCC diagnostic ignored "-Wsign-compare"
//#pragma GCC diagnostic ignored "-Wunused-parameter"
//#pragma GCC diagnostic ignored "-Wunused-variable"
#else
#define debug(...) 42
#endif

#define EPS 1e-9
#define IN(A, B, C) assert(B <= A && A <= C)
#define INF (int)1e9
#define MEM(a, b) memset(a, (b), sizeof(a))
#define MOD 1000000007
#define MP make_pair
#define PB push_back
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define x first
#define y second

const double PI = acos(-1.0);
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef map<int, int> MPII;
typedef multiset<int> MSETI;
typedef set<int> SETI;
typedef set<string> SETS;
typedef vector<int> VI;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<string> VS;

#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto& a : x)
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef vector<int> vi;
#pragma GCC diagnostic ignored "-Wsign-compare"
// util functions

int n, k;

vector<VII> adj;
VVI centadj;
VI cent;
VI ret;

struct centroid {
  vector<bool> vis;
  VI sub;
  void init() {
    vis.assign(n, false);
    sub.resize(n);
    cent.resize(n);
    centadj.resize(n);
    adj.resize(n);
    ret.assign(n, 2 * INF);
  }

  int dfs(int u, int v) {
    sub[u] = 1;
    for (auto& x : adj[u]) {
      if (x.x != v and vis[x.x] == false) {
        sub[u] += dfs(x.x, u);
      }
    }
    return sub[u];
  }

  int getCent(int u, int siz, int v) {
    for (auto& x : adj[u]) {
      if (x.x != v and vis[x.x] == false) {
        if (sub[x.x] * 2 > siz) {
          return getCent(x.x, siz, u);
        }
      }
    }
    return u;
  }

  void centr(int u, int lev, int par = -1) {
    int c = getCent(u, dfs(u, -1), -1);
    cent[c] = ++lev;
    vis[c] = true;
    if (par != -1) {
      centadj[par].PB(c);
    }
    for (auto& x : adj[c]) {
      if (vis[x.x] == false) {
        centr(x.x, lev, c);
      }
    }
  }
} centroid1;

void dfs(int u, int v, int og, int dist1, int dist2, VII& cur) {
  if (cent[u] <= cent[og]) return;
  if (dist1 > 10 * k) return;  // you can do > k, but just to be safe lmao
  // also im doing this so i dont have to use long long
  cur.PB(MP(dist1, dist2));
  for (auto& x : adj[u]) {
    if (x.x == v) continue;
    dfs(x.x, u, og, dist1 + x.y, dist2 + 1, cur);
  }
}

void solve(int u) {
  // first you solve for all of your children
  trav(x, centadj[u]) { solve(x); }
  MPII mp;
  VII cur;
  mp[0] = 0;
  for (auto& x : adj[u]) {
    cur.clear();
    dfs(x.x, u, u, x.y, 1, cur);
    if (cur.empty()) continue;
    trav(y, cur) {
      if (mp[k - y.x] > 0) ret[u] = min(ret[u], mp[k - y.x] + y.y);
      if (y.x == k) {
        ret[u] = min(ret[u], y.y);
      }
    }

    trav(y, cur) {
      if (mp[y.x] == 0)
        mp[y.x] = y.y;
      else
        mp[y.x] = min(mp[y.x], y.y);
    }
  }
}

int best_path(int N, int K, int h[][2], int l[]) {
  n = N;
  k = K;
  centroid1.init();
  for (int i = 0; i < n - 1; i++) {
    int u, v, w;
    u = h[i][0], v = h[i][1], w = l[i];
    adj[u].PB(MP(v, w));
    adj[v].PB(MP(u, w));
  }
  centroid1.centr(0, 0);

  int root = min_element(all(cent)) - cent.begin();

  solve(root);

  int pr = *min_element(all(ret));
  if (pr == 2 * INF) return -1;
  return pr;
}

// int main() {
// #ifndef ONLINE_JUDGE
//   freopen("race.in", "r", stdin);
//   freopen("race.out", "w", stdout);
// #endif
//   cin.sync_with_stdio(0);
//   cin.tie(0);

//   int N, K;

//   cin >> N >> K;

//   int h[N - 1][2];
//   int l[N - 1];

//   for (int i = 0; i < N - 1; i++) {
//     cin >> h[i][0] >> h[i][1] >> l[i];
//   }

//   cout << best_path(N, K, h, l) << '\n';

//   return 0;
// }

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 3 ms 512 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 3 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 3 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 3 ms 512 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
33 Correct 4 ms 512 KB Output is correct
34 Correct 3 ms 512 KB Output is correct
35 Correct 3 ms 512 KB Output is correct
36 Correct 3 ms 512 KB Output is correct
37 Correct 3 ms 512 KB Output is correct
38 Correct 3 ms 512 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 430 ms 14812 KB Output is correct
20 Correct 429 ms 14752 KB Output is correct
21 Correct 405 ms 14632 KB Output is correct
22 Correct 356 ms 14676 KB Output is correct
23 Correct 561 ms 15080 KB Output is correct
24 Correct 256 ms 13688 KB Output is correct
25 Correct 307 ms 18320 KB Output is correct
26 Correct 177 ms 22568 KB Output is correct
27 Correct 488 ms 27512 KB Output is correct
28 Correct 658 ms 43640 KB Output is correct
29 Correct 652 ms 42360 KB Output is correct
30 Correct 488 ms 27516 KB Output is correct
31 Correct 492 ms 27512 KB Output is correct
32 Correct 568 ms 27512 KB Output is correct
33 Correct 873 ms 28384 KB Output is correct
34 Correct 352 ms 28128 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 3 ms 512 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 3 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 3 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 3 ms 512 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
33 Correct 4 ms 512 KB Output is correct
34 Correct 3 ms 512 KB Output is correct
35 Correct 3 ms 512 KB Output is correct
36 Correct 3 ms 512 KB Output is correct
37 Correct 3 ms 512 KB Output is correct
38 Correct 3 ms 512 KB Output is correct
39 Correct 430 ms 14812 KB Output is correct
40 Correct 429 ms 14752 KB Output is correct
41 Correct 405 ms 14632 KB Output is correct
42 Correct 356 ms 14676 KB Output is correct
43 Correct 561 ms 15080 KB Output is correct
44 Correct 256 ms 13688 KB Output is correct
45 Correct 307 ms 18320 KB Output is correct
46 Correct 177 ms 22568 KB Output is correct
47 Correct 488 ms 27512 KB Output is correct
48 Correct 658 ms 43640 KB Output is correct
49 Correct 652 ms 42360 KB Output is correct
50 Correct 488 ms 27516 KB Output is correct
51 Correct 492 ms 27512 KB Output is correct
52 Correct 568 ms 27512 KB Output is correct
53 Correct 873 ms 28384 KB Output is correct
54 Correct 352 ms 28128 KB Output is correct
55 Correct 37 ms 2232 KB Output is correct
56 Correct 23 ms 1792 KB Output is correct
57 Correct 250 ms 15084 KB Output is correct
58 Correct 67 ms 13292 KB Output is correct
59 Correct 598 ms 28868 KB Output is correct
60 Correct 1701 ms 59924 KB Output is correct
61 Correct 636 ms 30072 KB Output is correct
62 Correct 561 ms 27824 KB Output is correct
63 Correct 705 ms 27880 KB Output is correct
64 Correct 1692 ms 38136 KB Output is correct
65 Correct 424 ms 28792 KB Output is correct
66 Correct 1515 ms 44100 KB Output is correct
67 Correct 253 ms 27500 KB Output is correct
68 Correct 905 ms 44548 KB Output is correct
69 Correct 915 ms 44916 KB Output is correct
70 Correct 860 ms 42432 KB Output is correct