Submission #575301

# Submission time Handle Problem Language Result Execution time Memory
575301 2022-06-10T06:27:57 Z Theo830 Ideal city (IOI12_city) C++17
100 / 100
85 ms 13856 KB
#include <bits/stdc++.h>
using namespace std;
typedef int ll;
const ll INF = 1e9;
ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<ii,int>
#define f(i,a,b) for(ll i = a;i < b;i++)
#define pb push_back
#define vll vector<ll>
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
///I hope I will get uprating and don't make mistakes
///I will never stop programming
///sqrt(-1) Love C++
///Please don't hack me
///@TheofanisOrfanou Theo830
///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
///Stay Calm
///Look for special cases
///Beware of overflow and array bounds
///Think the problem backwards
///Training
vector<set<ll> >adj;
ll par[100005];
ll siz[100005];
ll s[100005];
int ans = 0;
int n;
ll find_par(ll a){
    if(par[a] == a){
        return a;
    }
    return par[a] = find_par(par[a]);
}
void enose(ll a,ll b){
    ll p1 = find_par(a);
    ll p2 = find_par(b);
    par[p1] = p2;
    siz[p2] += siz[p1];
    siz[p1] = 0;
}
void dfs(ll idx,ll par){
    idx = find_par(idx);
    s[idx] = siz[idx];
    for(auto x:adj[idx]){
        if(x != par){
            dfs(x,idx);
            s[idx] += s[x];
            ans += (1LL * (n - s[x]) * s[x]) % INF;
            ans %= INF;
        }
    }
}
int DistanceSum(int N, int *X, int *Y){
    n = N;
    vector<iii>arr;
    f(i,0,n){
        par[i] = i;
        siz[i] = 1;
        arr.pb(iii(ii(X[i],Y[i]),i));
    }
    sort(all(arr));
    f(i,1,n){
        if(arr[i].F.F == arr[i-1].F.F && arr[i-1].F.S + 1 == arr[i].F.S){
            enose(arr[i].S,arr[i-1].S);
        }
    }
    f(i,0,n){
        swap(arr[i].F.F,arr[i].F.S);
    }
    sort(all(arr));
    adj.assign(n+5,set<ll>());
    f(i,1,n){
        if(arr[i].F.F == arr[i-1].F.F && arr[i-1].F.S + 1 == arr[i].F.S){
            adj[find_par(arr[i].S)].insert(find_par(arr[i-1].S));
            adj[find_par(arr[i-1].S)].insert(find_par(arr[i].S));
        }
    }
    dfs(0,-1);
    f(i,0,n){
        par[i] = i;
        siz[i] = 1;
        s[i] = 0;
    }
    f(i,1,n){
        if(arr[i].F.F == arr[i-1].F.F && arr[i-1].F.S + 1 == arr[i].F.S){
            enose(arr[i].S,arr[i-1].S);
        }
    }
    f(i,0,n){
        swap(arr[i].F.F,arr[i].F.S);
    }
    sort(all(arr));
    adj.assign(n+5,set<ll>());
    f(i,1,n){
        if(arr[i].F.F == arr[i-1].F.F && arr[i-1].F.S + 1 == arr[i].F.S){
            adj[find_par(arr[i].S)].insert(find_par(arr[i-1].S));
            adj[find_par(arr[i-1].S)].insert(find_par(arr[i].S));
        }
    }
    dfs(0,-1);
    return ans;
}
/*
#define inbuf_len 1 << 16
#define outbuf_len 1 << 16

int DistanceSum(int N, int *X, int *Y);

int main() {
  int tmp;
  char *inbuf, *outbuf;
  inbuf = (char*) malloc(inbuf_len * sizeof(char));
  outbuf = (char*) malloc(outbuf_len * sizeof(char));
  tmp = setvbuf(stdin, inbuf, _IOFBF, inbuf_len);
  assert(tmp == 0);
  tmp = setvbuf(stdout, outbuf, _IOFBF, outbuf_len);
  assert(tmp == 0);

  int N, i;
  tmp = scanf("%d", &N);
  assert(tmp == 1);
  int *sq_x, *sq_y;
  sq_x = (int*) malloc(N * sizeof(int));
  sq_y = (int*) malloc(N * sizeof(int));
  for (i = 0; i < N; i++) {
    tmp = scanf("%d %d", &sq_x[i], &sq_y[i]);
    assert(tmp == 2);
  }
  int ds = DistanceSum(N, sq_x, sq_y);
  printf("%d\n", ds);

  return 0;

}
*/
/*
11
2 5
2 6
3 3
3 6
4 3
4 4
4 5
4 6
5 3
5 4
5 6
*/
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 2128 KB Output is correct
2 Correct 11 ms 2000 KB Output is correct
3 Correct 28 ms 4448 KB Output is correct
4 Correct 27 ms 4440 KB Output is correct
5 Correct 58 ms 8260 KB Output is correct
6 Correct 65 ms 9184 KB Output is correct
7 Correct 58 ms 9372 KB Output is correct
8 Correct 61 ms 9048 KB Output is correct
9 Correct 57 ms 9412 KB Output is correct
10 Correct 59 ms 13856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 2732 KB Output is correct
2 Correct 14 ms 2384 KB Output is correct
3 Correct 39 ms 6216 KB Output is correct
4 Correct 42 ms 5472 KB Output is correct
5 Correct 84 ms 11972 KB Output is correct
6 Correct 69 ms 10608 KB Output is correct
7 Correct 85 ms 12992 KB Output is correct
8 Correct 68 ms 10688 KB Output is correct
9 Correct 65 ms 10112 KB Output is correct
10 Correct 69 ms 10008 KB Output is correct