Submission #290279

# Submission time Handle Problem Language Result Execution time Memory
290279 2020-09-03T15:13:01 Z NaimSS Bridges (APIO19_bridges) C++14
73 / 100
3000 ms 11296 KB
#include <bits/stdc++.h>
#define ld long double
#define endl "\n"
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define pb(x) push_back(x)
#define mp(a,b) make_pair(a,b)
#define ms(v,x) memset(v,x,sizeof(v))
#define all(v) v.begin(),v.end()
#define ff first
#define ss second
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define per(i, a, b) for(int i = b-1; i>=a ; i--)
#define trav(a, x) for(auto& a : x)
#define allin(a , x) for(auto a : x)
#define Unique(v) sort(all(v));v.erase(unique(all(v)),v.end());
#define sz(v) (int)v.size()
//#define int long long
using namespace std;
typedef vector<int> vi;
#define y1 abacaba
#define left sefude
#define db(x) cerr << #x <<" == "<<x << endl;
#define db2(x,y) cerr<<#x <<" == "<<x<<", "<<#y<<" == "<<y<<endl;
#define db3(x,y,z) cerr << #x<<" == "<<x<<", "<<#y<<" == "<<y<<", "<<#z<<" == "<<z<<endl; 
typedef long long ll;
typedef pair<int,int> pii;
inline ll mod(ll n, ll m ){ ll ret = n%m; if(ret < 0) ret += m; return ret; }
ll gcd(ll a, ll b){return (b == 0LL ? a : gcd(b, a%b));}
ll exp(ll a,ll b,ll m){
    if(b==0LL) return 1LL;
    if(b==1LL) return mod(a,m);
    ll k = mod(exp(a,b/2,m),m);
    if(b&1LL){
        return mod(a*mod(k*k,m),m);
    }
    else return mod(k*k,m);
}

struct DSU{
  vi pai,ps;
  DSU(){}
  DSU(int n){
    pai.resize(n+1);
    ps.resize(n+1);
    for(int i=1;i<=n;i++)pai[i]=i,ps[i]=1;
  }
  int f(int x){
    return pai[x] = (pai[x]==x?x:f(pai[x]));
  }
  int getsz(int x){
    return ps[f(x)];
  }
  void join(int a,int b){
    a=f(a),b=f(b);
    if(a==b)return;
    if(ps[a]>ps[b]){int c=a;a=b,b=c;}
    ps[b]+=ps[a];
    pai[a]=b;
  }
};
const int N = 50100,M = 100100;
const int sq = 400;
vi g[N]; // guarda os ids
int a[M],b[M],c[M];
int res[M];
int vis[N];
int T=0;

int t[M],s[M],w[M];
int m,n;
vector<int> ar[N];
bool jf[M];
DSU dsu(0);
int dfs(int v){
  vis[v] = T;
  int r = dsu.getsz(v);
  for(int to : ar[v])if(vis[to]!=T){
    r+=dfs(to);
  }
  return r;
}
bool used[M];
vi edge;
// O(N*sq^2 + MlogM * M/sq + Q*sq + )
void go(vi qry){
  vi Q,upd;
  

  for(int id : qry){
    if(t[id] == 2)Q.pb(id);
    else{
        upd.pb(id);
        used[s[id]] = 1;
    }
  }
  vi unused;
  for(int i=1;i<=m;i++){ // O(M)
    if(used[i]){
      unused.pb(i);
      continue;
    }
  }
  sort(all(Q),[&](int a,int b){
    return w[a] > w[b];
  }); // sqrt * log(sqrt);
  dsu = DSU(n); // O(N * alpha)
  reverse(all(upd));
  int curedge = 0;
  for(int id : Q){
    while(curedge < sz(edge) and c[edge[curedge]]>=w[id]){ // O(M)
      // gogo
      int ed = edge[curedge];
      if(used[ed]){
        curedge++;
        continue;
      }
      dsu.join(a[ed],b[ed]);
      curedge++;
    }
    T++;
    for(int id2 : upd){
      if(id2 > id || jf[s[id2]])continue;
      jf[s[id2]] = 1;
      if(w[id2] >= w[id]){
        // add edge:
        int ed = s[id2];
     
        ar[dsu.f(a[ed])].pb(dsu.f(b[ed]));
        ar[dsu.f(b[ed])].pb(dsu.f(a[ed]));
      }
    }
    for(int id2 : unused){
      if(!jf[id2] and c[id2] >= w[id]){
        ar[dsu.f(a[id2])].pb(dsu.f(b[id2]));
        ar[dsu.f(b[id2])].pb(dsu.f(a[id2]));
        jf[id2] = 1;
      }
    }
    res[id] = dfs(dsu.f(s[id]));
    // rool back
    for(int id2 : upd){
      jf[s[id2]] = 0;
      int ed = s[id2];
      ar[dsu.f(a[ed])].clear();
      ar[dsu.f(b[ed])].clear();
    }
    for(int id2 : unused){
      jf[id2] = 0;
      ar[dsu.f(a[id2])].clear();
      ar[dsu.f(b[id2])].clear();
    }
  }
  for(int ed : unused){
    used[ed] = 0;
  }

  // update the edges:

  for(int id : qry){
    if(t[id] == 1){
      c[s[id]] = w[id];
    }
  }
  sort(all(edge),[&](int a,int b){
    return c[a] > c[b];
  });
}

int32_t main(){
  fastio;

  cin>>n>>m;
  
  for(int i=1;i<=m;i++){
    cin >> a[i] >> b[i] >> c[i];
    edge.pb(i);
  }
  sort(all(edge),[&](int a,int b){
    return c[a] > c[b];
  });
  int q;
  cin >> q;
  vi qry;
  for(int i=0;i<q;i++){
    cin >> t[i] >> s[i] >> w[i];
    qry.pb(i);
    if(sz(qry) == sq){
      go(qry);
      qry.clear();
    }
  }
  go(qry);
  for(int i=0;i<q;i++){
    if(t[i] == 2)cout << res[i] << endl;
  }
  // math -> gcd it all
  // Did u check N=1? Did you switch N,M?
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 70 ms 2936 KB Output is correct
4 Correct 6 ms 2944 KB Output is correct
5 Correct 44 ms 3064 KB Output is correct
6 Correct 42 ms 2936 KB Output is correct
7 Correct 42 ms 2936 KB Output is correct
8 Correct 39 ms 2936 KB Output is correct
9 Correct 48 ms 2936 KB Output is correct
10 Correct 39 ms 2936 KB Output is correct
11 Correct 38 ms 2936 KB Output is correct
12 Correct 40 ms 2936 KB Output is correct
13 Correct 48 ms 2936 KB Output is correct
14 Correct 46 ms 2936 KB Output is correct
15 Correct 47 ms 2928 KB Output is correct
16 Correct 43 ms 2936 KB Output is correct
17 Correct 42 ms 2936 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2515 ms 8068 KB Output is correct
2 Correct 2452 ms 10900 KB Output is correct
3 Correct 2439 ms 10732 KB Output is correct
4 Correct 2460 ms 10796 KB Output is correct
5 Correct 2405 ms 11016 KB Output is correct
6 Correct 2847 ms 9640 KB Output is correct
7 Correct 2813 ms 9960 KB Output is correct
8 Correct 2753 ms 9536 KB Output is correct
9 Correct 42 ms 5880 KB Output is correct
10 Correct 1992 ms 9476 KB Output is correct
11 Correct 1901 ms 9348 KB Output is correct
12 Correct 1874 ms 9568 KB Output is correct
13 Correct 1890 ms 9756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1989 ms 7000 KB Output is correct
2 Correct 1221 ms 5240 KB Output is correct
3 Correct 2125 ms 6816 KB Output is correct
4 Correct 1944 ms 7012 KB Output is correct
5 Correct 43 ms 4472 KB Output is correct
6 Correct 2047 ms 6852 KB Output is correct
7 Correct 1869 ms 6812 KB Output is correct
8 Correct 1727 ms 6908 KB Output is correct
9 Correct 1299 ms 6492 KB Output is correct
10 Correct 1206 ms 6112 KB Output is correct
11 Correct 1285 ms 6780 KB Output is correct
12 Correct 1211 ms 6688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2180 ms 7652 KB Output is correct
2 Correct 42 ms 6008 KB Output is correct
3 Correct 203 ms 6516 KB Output is correct
4 Correct 124 ms 6644 KB Output is correct
5 Correct 1592 ms 9620 KB Output is correct
6 Correct 2206 ms 10936 KB Output is correct
7 Correct 1585 ms 9468 KB Output is correct
8 Correct 1103 ms 8944 KB Output is correct
9 Correct 1098 ms 9136 KB Output is correct
10 Correct 1083 ms 8948 KB Output is correct
11 Correct 1776 ms 9816 KB Output is correct
12 Correct 1715 ms 9960 KB Output is correct
13 Correct 1734 ms 9836 KB Output is correct
14 Correct 1436 ms 9624 KB Output is correct
15 Correct 1500 ms 9448 KB Output is correct
16 Correct 2337 ms 10916 KB Output is correct
17 Correct 2247 ms 10860 KB Output is correct
18 Correct 2280 ms 11008 KB Output is correct
19 Correct 2265 ms 10940 KB Output is correct
20 Correct 1987 ms 10184 KB Output is correct
21 Correct 2007 ms 10184 KB Output is correct
22 Correct 2179 ms 11252 KB Output is correct
23 Correct 1641 ms 9332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2515 ms 8068 KB Output is correct
2 Correct 2452 ms 10900 KB Output is correct
3 Correct 2439 ms 10732 KB Output is correct
4 Correct 2460 ms 10796 KB Output is correct
5 Correct 2405 ms 11016 KB Output is correct
6 Correct 2847 ms 9640 KB Output is correct
7 Correct 2813 ms 9960 KB Output is correct
8 Correct 2753 ms 9536 KB Output is correct
9 Correct 42 ms 5880 KB Output is correct
10 Correct 1992 ms 9476 KB Output is correct
11 Correct 1901 ms 9348 KB Output is correct
12 Correct 1874 ms 9568 KB Output is correct
13 Correct 1890 ms 9756 KB Output is correct
14 Correct 1989 ms 7000 KB Output is correct
15 Correct 1221 ms 5240 KB Output is correct
16 Correct 2125 ms 6816 KB Output is correct
17 Correct 1944 ms 7012 KB Output is correct
18 Correct 43 ms 4472 KB Output is correct
19 Correct 2047 ms 6852 KB Output is correct
20 Correct 1869 ms 6812 KB Output is correct
21 Correct 1727 ms 6908 KB Output is correct
22 Correct 1299 ms 6492 KB Output is correct
23 Correct 1206 ms 6112 KB Output is correct
24 Correct 1285 ms 6780 KB Output is correct
25 Correct 1211 ms 6688 KB Output is correct
26 Correct 2709 ms 10868 KB Output is correct
27 Correct 2922 ms 10184 KB Output is correct
28 Correct 2634 ms 10604 KB Output is correct
29 Correct 2305 ms 10484 KB Output is correct
30 Correct 2916 ms 10492 KB Output is correct
31 Correct 2901 ms 10592 KB Output is correct
32 Correct 2934 ms 10608 KB Output is correct
33 Correct 2752 ms 10892 KB Output is correct
34 Correct 2720 ms 10708 KB Output is correct
35 Correct 2710 ms 11296 KB Output is correct
36 Correct 2397 ms 10576 KB Output is correct
37 Correct 2377 ms 10372 KB Output is correct
38 Correct 2334 ms 10660 KB Output is correct
39 Correct 1863 ms 9832 KB Output is correct
40 Correct 1906 ms 10172 KB Output is correct
41 Correct 1901 ms 10156 KB Output is correct
42 Correct 1821 ms 10528 KB Output is correct
43 Correct 1780 ms 10708 KB Output is correct
44 Correct 1808 ms 10772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 70 ms 2936 KB Output is correct
4 Correct 6 ms 2944 KB Output is correct
5 Correct 44 ms 3064 KB Output is correct
6 Correct 42 ms 2936 KB Output is correct
7 Correct 42 ms 2936 KB Output is correct
8 Correct 39 ms 2936 KB Output is correct
9 Correct 48 ms 2936 KB Output is correct
10 Correct 39 ms 2936 KB Output is correct
11 Correct 38 ms 2936 KB Output is correct
12 Correct 40 ms 2936 KB Output is correct
13 Correct 48 ms 2936 KB Output is correct
14 Correct 46 ms 2936 KB Output is correct
15 Correct 47 ms 2928 KB Output is correct
16 Correct 43 ms 2936 KB Output is correct
17 Correct 42 ms 2936 KB Output is correct
18 Correct 2515 ms 8068 KB Output is correct
19 Correct 2452 ms 10900 KB Output is correct
20 Correct 2439 ms 10732 KB Output is correct
21 Correct 2460 ms 10796 KB Output is correct
22 Correct 2405 ms 11016 KB Output is correct
23 Correct 2847 ms 9640 KB Output is correct
24 Correct 2813 ms 9960 KB Output is correct
25 Correct 2753 ms 9536 KB Output is correct
26 Correct 42 ms 5880 KB Output is correct
27 Correct 1992 ms 9476 KB Output is correct
28 Correct 1901 ms 9348 KB Output is correct
29 Correct 1874 ms 9568 KB Output is correct
30 Correct 1890 ms 9756 KB Output is correct
31 Correct 1989 ms 7000 KB Output is correct
32 Correct 1221 ms 5240 KB Output is correct
33 Correct 2125 ms 6816 KB Output is correct
34 Correct 1944 ms 7012 KB Output is correct
35 Correct 43 ms 4472 KB Output is correct
36 Correct 2047 ms 6852 KB Output is correct
37 Correct 1869 ms 6812 KB Output is correct
38 Correct 1727 ms 6908 KB Output is correct
39 Correct 1299 ms 6492 KB Output is correct
40 Correct 1206 ms 6112 KB Output is correct
41 Correct 1285 ms 6780 KB Output is correct
42 Correct 1211 ms 6688 KB Output is correct
43 Correct 2180 ms 7652 KB Output is correct
44 Correct 42 ms 6008 KB Output is correct
45 Correct 203 ms 6516 KB Output is correct
46 Correct 124 ms 6644 KB Output is correct
47 Correct 1592 ms 9620 KB Output is correct
48 Correct 2206 ms 10936 KB Output is correct
49 Correct 1585 ms 9468 KB Output is correct
50 Correct 1103 ms 8944 KB Output is correct
51 Correct 1098 ms 9136 KB Output is correct
52 Correct 1083 ms 8948 KB Output is correct
53 Correct 1776 ms 9816 KB Output is correct
54 Correct 1715 ms 9960 KB Output is correct
55 Correct 1734 ms 9836 KB Output is correct
56 Correct 1436 ms 9624 KB Output is correct
57 Correct 1500 ms 9448 KB Output is correct
58 Correct 2337 ms 10916 KB Output is correct
59 Correct 2247 ms 10860 KB Output is correct
60 Correct 2280 ms 11008 KB Output is correct
61 Correct 2265 ms 10940 KB Output is correct
62 Correct 1987 ms 10184 KB Output is correct
63 Correct 2007 ms 10184 KB Output is correct
64 Correct 2179 ms 11252 KB Output is correct
65 Correct 1641 ms 9332 KB Output is correct
66 Correct 2709 ms 10868 KB Output is correct
67 Correct 2922 ms 10184 KB Output is correct
68 Correct 2634 ms 10604 KB Output is correct
69 Correct 2305 ms 10484 KB Output is correct
70 Correct 2916 ms 10492 KB Output is correct
71 Correct 2901 ms 10592 KB Output is correct
72 Correct 2934 ms 10608 KB Output is correct
73 Correct 2752 ms 10892 KB Output is correct
74 Correct 2720 ms 10708 KB Output is correct
75 Correct 2710 ms 11296 KB Output is correct
76 Correct 2397 ms 10576 KB Output is correct
77 Correct 2377 ms 10372 KB Output is correct
78 Correct 2334 ms 10660 KB Output is correct
79 Correct 1863 ms 9832 KB Output is correct
80 Correct 1906 ms 10172 KB Output is correct
81 Correct 1901 ms 10156 KB Output is correct
82 Correct 1821 ms 10528 KB Output is correct
83 Correct 1780 ms 10708 KB Output is correct
84 Correct 1808 ms 10772 KB Output is correct
85 Execution timed out 3077 ms 11068 KB Time limit exceeded
86 Halted 0 ms 0 KB -