oj.uz

Submission #678485

# Submission time Handle Problem Language Result Execution time Memory
678485 2023-01-06T04:44:10 Z cig32 Stranded Far From Home (BOI22_island) C++17
100 / 100
 566 ms 128804 KB 
#include "bits/stdc++.h"
using namespace std;
#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 1e9 + 7;
#define ll __int128
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
ll read() { int x; cin >> x; return (ll)x; }
long long bm(long long b, long long p) {
  if(p==0) return 1 % MOD;
  long long r = bm(b, p >> 1);
  if(p&1) return (((r*r) % MOD) * b) % MOD;
  return (r*r) % MOD;
}
long long inv(long long b) { 
  return bm(b, MOD-2);
}
long long f[MAXN];
long long nCr(int n, int r) { 
  long long ans = f[n]; ans *= inv(f[r]); ans %= MOD;
  ans *= inv(f[n-r]); ans %= MOD; return ans;
}
long long fib[MAXN], lucas[MAXN];
void precomp() { 
  for(int i=0; i<MAXN; i++) f[i] = (i == 0 ? 1 % MOD : (f[i-1] * i) % MOD); 
  lucas[0] = 2;
  lucas[1] = 1;
  for(int i=2; i<MAXN; i++) lucas[i] = (lucas[i-2] + lucas[i-1]) % MOD;
  fib[0] = 0;
  fib[1] = 1;
  for(int i=2; i<MAXN; i++) fib[i] = (fib[i-2] + fib[i-1]) % MOD;
}
int fastlog(int x) {
  return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void gay(int i) { cout << "Case #" << i << ": "; }
int csb(int l, int r, int k) { // count number of [l, r] such that i & 2^k > 0
  if(l > r) return 0;
  if(l == 0) {
    int s = r / (1ll << (k+1)); // number of complete cycles
    int t = r % (1ll << (k+1));
    int ans = s * (1ll << k);
    ans += (t >= (1ll << k) ? t - (1ll << k) + 1 : 0);
    return ans;
  }
  else return csb(0, r, k) - csb(0, l - 1, k);
}
int lis(vector<int> a) {
  int n = a.size();
  int bucket[n+1];
  for(int i=1; i<=n; i++) bucket[i] = 1e18;
  int ans = 1;
  for(int x: a) {
    auto it = lower_bound(bucket + 1, bucket +n +1, x);
    int d = distance(bucket, it);
    ans = max(ans, d);
    bucket[d] = min(bucket[d], x);
  }
  return ans;
}
struct disjoint_sets {
  vector<int> dsu;
  vector<int> sizes;
  public:
  void resize(int n) {
    dsu.resize(n + 10);
    sizes.resize(n + 10);
    for(int i=0; i<n+10; i++) dsu[i] = i;
  }
  void set_size(int i, int x) {
    sizes[i] = x;
  }
  int get_size(int i) {
    return sizes[set_of(i)];
  }
  int set_of(int u) {
    if(dsu[u] == u) return u;
    return dsu[u] = set_of(dsu[u]);
  }
  void union_sets(int u, int v) {
    int o = sizes[set_of(u)] + sizes[set_of(v)];
    dsu[set_of(u)] = set_of(v);
    sizes[set_of(u)] = o;
  }
};
 
void solve(int tc) {
  int n, m;
  cin >> n >> m;
  disjoint_sets dsu;
  dsu.resize(n);
  pair<int, int> s[n+1];
  for(int i=1; i<=n; i++) {
    cin >> s[i].first;
    s[i].second = i;
    dsu.set_size(i, s[i].first);
 
  }
  vector<int >adj[n+1];
  for(int i=1; i<=m; i++) {
    int a, b; cin >> a >> b;
    adj[a].push_back(b);
    adj[b].push_back(a);
  }
  sort(s+1, s+n+1);
  bool done[n+1], bad[n+1];
  for(int i=1; i<=n; i++) done[i] = 0, bad[i] = 0;
 
 
  set<int> indices[n+1];
  int rep[n+1];
  for(int i=1; i<=n; i++) {
    rep[i] = i;
    indices[i].insert(i);
  }
  for(int i=1; i<=n; i++) {
    int node = s[i].second, val = s[i].first;
    //cout << val << " " << node << " o\n";
    for(int x: adj[node]) {
      if(dsu.set_of(node) != dsu.set_of(x) && done[x]) {
        //cout << "dsu size (" << x << ") = " << dsu.get_size(x) << ", val = " << val << "\n";
        if(dsu.get_size(x) < val) {
          for(int j: indices[rep[dsu.set_of(x)]]) {
            bad[j] = 1;
          }
        }
        int nw;
        if(indices[rep[dsu.set_of(node)]].size() < indices[rep[dsu.set_of(x)]].size()) {
          nw = rep[dsu.set_of(x)];
          for(int y: indices[rep[dsu.set_of(node)]]) {
            indices[rep[dsu.set_of(x)]].insert(y);
          }
        }
        else {
          nw = rep[dsu.set_of(node)];
          for(int y: indices[rep[dsu.set_of(x)]]) {
            indices[rep[dsu.set_of(node)]].insert(y);
          }
        }
 
        dsu.union_sets(node, x);
        rep[dsu.set_of(node)] = nw;
        //cout << "union " << node << " " << x << "\n";
      }
    }
    done[node] = 1;
  }
  for(int i=1; i<=n; i++) cout << (bad[i] ? 0 : 1);
  cout << "\n";
}
 
/*
Set is bad if:
Sum(Set) < Min(Outgoing S)
 
If set bad, answer = 0 for all in set
Use KRT to update
 
4 3
5 7 3 5
1 2
2 3
3 4
*/
int32_t main() {
  precomp();
  ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; //cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7252 KB Output is correct
2 Correct 9 ms 7252 KB Output is correct
3 Correct 8 ms 7372 KB Output is correct
4 Correct 9 ms 7764 KB Output is correct
5 Correct 10 ms 8020 KB Output is correct
6 Correct 9 ms 7724 KB Output is correct
7 Correct 9 ms 7764 KB Output is correct
8 Correct 9 ms 7764 KB Output is correct
9 Correct 9 ms 7764 KB Output is correct
10 Correct 10 ms 8148 KB Output is correct
11 Correct 13 ms 8016 KB Output is correct
12 Correct 11 ms 8216 KB Output is correct
13 Correct 10 ms 7764 KB Output is correct
14 Correct 9 ms 8020 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7376 KB Output is correct
2 Correct 8 ms 7252 KB Output is correct
3 Correct 207 ms 65328 KB Output is correct
4 Correct 214 ms 59956 KB Output is correct
5 Correct 403 ms 89388 KB Output is correct
6 Correct 406 ms 94408 KB Output is correct
7 Correct 414 ms 93284 KB Output is correct
8 Correct 216 ms 60368 KB Output is correct
9 Correct 407 ms 128804 KB Output is correct
10 Correct 281 ms 59980 KB Output is correct
11 Correct 199 ms 59796 KB Output is correct
12 Correct 342 ms 67128 KB Output is correct
13 Correct 194 ms 57808 KB Output is correct
14 Correct 209 ms 58816 KB Output is correct
15 Correct 194 ms 59308 KB Output is correct
16 Correct 158 ms 58220 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7252 KB Output is correct
2 Correct 482 ms 106308 KB Output is correct
3 Correct 473 ms 106216 KB Output is correct
4 Correct 215 ms 59340 KB Output is correct
5 Correct 227 ms 60740 KB Output is correct
6 Correct 499 ms 105264 KB Output is correct
7 Correct 278 ms 59452 KB Output is correct
8 Correct 271 ms 59392 KB Output is correct
9 Correct 155 ms 58096 KB Output is correct
10 Correct 224 ms 61624 KB Output is correct
11 Correct 264 ms 69824 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 7252 KB Output is correct
2 Correct 566 ms 78988 KB Output is correct
3 Correct 558 ms 84188 KB Output is correct
4 Correct 518 ms 91540 KB Output is correct
5 Correct 442 ms 85664 KB Output is correct
6 Correct 393 ms 70620 KB Output is correct
7 Correct 213 ms 60836 KB Output is correct
8 Correct 168 ms 59788 KB Output is correct
9 Correct 187 ms 41056 KB Output is correct
10 Correct 463 ms 89940 KB Output is correct
11 Correct 238 ms 67780 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7252 KB Output is correct
2 Correct 9 ms 7252 KB Output is correct
3 Correct 8 ms 7372 KB Output is correct
4 Correct 9 ms 7764 KB Output is correct
5 Correct 10 ms 8020 KB Output is correct
6 Correct 9 ms 7724 KB Output is correct
7 Correct 9 ms 7764 KB Output is correct
8 Correct 9 ms 7764 KB Output is correct
9 Correct 9 ms 7764 KB Output is correct
10 Correct 10 ms 8148 KB Output is correct
11 Correct 13 ms 8016 KB Output is correct
12 Correct 11 ms 8216 KB Output is correct
13 Correct 10 ms 7764 KB Output is correct
14 Correct 9 ms 8020 KB Output is correct
15 Correct 8 ms 7376 KB Output is correct
16 Correct 8 ms 7252 KB Output is correct
17 Correct 207 ms 65328 KB Output is correct
18 Correct 214 ms 59956 KB Output is correct
19 Correct 403 ms 89388 KB Output is correct
20 Correct 406 ms 94408 KB Output is correct
21 Correct 414 ms 93284 KB Output is correct
22 Correct 216 ms 60368 KB Output is correct
23 Correct 407 ms 128804 KB Output is correct
24 Correct 281 ms 59980 KB Output is correct
25 Correct 199 ms 59796 KB Output is correct
26 Correct 342 ms 67128 KB Output is correct
27 Correct 194 ms 57808 KB Output is correct
28 Correct 209 ms 58816 KB Output is correct
29 Correct 194 ms 59308 KB Output is correct
30 Correct 158 ms 58220 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 482 ms 106308 KB Output is correct
33 Correct 473 ms 106216 KB Output is correct
34 Correct 215 ms 59340 KB Output is correct
35 Correct 227 ms 60740 KB Output is correct
36 Correct 499 ms 105264 KB Output is correct
37 Correct 278 ms 59452 KB Output is correct
38 Correct 271 ms 59392 KB Output is correct
39 Correct 155 ms 58096 KB Output is correct
40 Correct 224 ms 61624 KB Output is correct
41 Correct 264 ms 69824 KB Output is correct
42 Correct 9 ms 7252 KB Output is correct
43 Correct 566 ms 78988 KB Output is correct
44 Correct 558 ms 84188 KB Output is correct
45 Correct 518 ms 91540 KB Output is correct
46 Correct 442 ms 85664 KB Output is correct
47 Correct 393 ms 70620 KB Output is correct
48 Correct 213 ms 60836 KB Output is correct
49 Correct 168 ms 59788 KB Output is correct
50 Correct 187 ms 41056 KB Output is correct
51 Correct 463 ms 89940 KB Output is correct
52 Correct 238 ms 67780 KB Output is correct
53 Correct 8 ms 7252 KB Output is correct
54 Correct 8 ms 7356 KB Output is correct
55 Correct 8 ms 7252 KB Output is correct
56 Correct 10 ms 7844 KB Output is correct
57 Correct 10 ms 7988 KB Output is correct
58 Correct 9 ms 7724 KB Output is correct
59 Correct 9 ms 7764 KB Output is correct
60 Correct 9 ms 7740 KB Output is correct
61 Correct 9 ms 7764 KB Output is correct
62 Correct 11 ms 8088 KB Output is correct
63 Correct 10 ms 8020 KB Output is correct
64 Correct 10 ms 8148 KB Output is correct
65 Correct 9 ms 7768 KB Output is correct
66 Correct 10 ms 7972 KB Output is correct
67 Correct 205 ms 65320 KB Output is correct
68 Correct 235 ms 59936 KB Output is correct
69 Correct 404 ms 89344 KB Output is correct
70 Correct 413 ms 94408 KB Output is correct
71 Correct 434 ms 93256 KB Output is correct
72 Correct 223 ms 60328 KB Output is correct
73 Correct 408 ms 128796 KB Output is correct
74 Correct 295 ms 59948 KB Output is correct
75 Correct 194 ms 59856 KB Output is correct
76 Correct 370 ms 67196 KB Output is correct
77 Correct 202 ms 57784 KB Output is correct
78 Correct 205 ms 59032 KB Output is correct
79 Correct 194 ms 59312 KB Output is correct
80 Correct 159 ms 58060 KB Output is correct
81 Correct 462 ms 106376 KB Output is correct
82 Correct 455 ms 106076 KB Output is correct
83 Correct 224 ms 59424 KB Output is correct
84 Correct 203 ms 60732 KB Output is correct
85 Correct 465 ms 105356 KB Output is correct
86 Correct 236 ms 59272 KB Output is correct
87 Correct 229 ms 59320 KB Output is correct
88 Correct 194 ms 61900 KB Output is correct
89 Correct 230 ms 69832 KB Output is correct
90 Correct 449 ms 78840 KB Output is correct
91 Correct 461 ms 84100 KB Output is correct
92 Correct 542 ms 91520 KB Output is correct
93 Correct 459 ms 85708 KB Output is correct
94 Correct 367 ms 70712 KB Output is correct
95 Correct 238 ms 60824 KB Output is correct
96 Correct 161 ms 59708 KB Output is correct
97 Correct 213 ms 41124 KB Output is correct
98 Correct 461 ms 89944 KB Output is correct
99 Correct 235 ms 67884 KB Output is correct
100 Correct 48 ms 14196 KB Output is correct
101 Correct 502 ms 89164 KB Output is correct
102 Correct 270 ms 56032 KB Output is correct
103 Correct 360 ms 59552 KB Output is correct
104 Correct 481 ms 74344 KB Output is correct