oj.uz

Submission #784271

# Submission time Handle Problem Language Result Execution time Memory
784271 2023-07-15T23:35:02 Z PCTprobability Pairs (IOI07_pairs) C++17
80 / 100
 4000 ms 18800 KB 
#include <bits/stdc++.h>
using namespace std;
/*#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif*/
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_))
#define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i))
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
//const ll mod = 1000000009;
const ll mod = 998244353;
//const ll mod = 1000000007;
const ll inf = 4100000000000000000ll;
const ld eps = ld(0.00000000001);
static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
#define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i))
template<class T>auto min(const T& a){ return *min_element(all(a)); }
template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a,const T b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a,const T b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=-1;while(x){x/=2;y++;}return y;}
P hyou(P a){ll x=fastgcd(abs(a.fi),abs(a.se));a.fi/=x;a.se/=x;if(a.se<0){a.fi*=-1;a.se*=-1;}return a;}
P Pplus(P a,P b){ return hyou({a.fi*b.se+b.fi*a.se,a.se*b.se});}
P Ptimes(P a,ll b){ return hyou({a.fi*b,a.se});}
P Ptimes(P a,P b){ return hyou({a.fi*b.fi,a.se*b.se});}
P Pminus(P a,P b){ return hyou({a.fi*b.se-b.fi*a.se,a.se*b.se});}
P Pgyaku(P a){ return hyou({a.se,a.fi});}
template<class T>
struct Sum{
  vector<T> data;
  Sum(const vector<T>& v):data(v.size()+1){
    for(ll i=0;i<v.size();i++) data[i+1]=data[i]+v[i];
  }
  T get(ll l,ll r) const {
    return data[r]-data[l];
  }
};
template<class T>
struct Sum2{
  vector<vector<T>> data;
  Sum2(const vector<vector<T>> &v):data(v.size()+1,vector<T>(v[0].size()+1)){
    for(int i=0;i<v.size();i++) for(int j=0;j<v[i].size();j++) data[i+1][j+1]=data[i][j+1]+v[i][j];
    for(int i=0;i<v.size();i++) for(int j=0;j<v[i].size();j++) data[i+1][j+1]+=data[i+1][j];
  }
  T get(ll x1,ll y1,ll x2,ll y2) const {
    return data[x2][y2]+data[x1][y1]-data[x1][y2]-data[x2][y1];
  }
};
 
void cincout(){
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(15);
}
struct segtree{
  ll n;
  vector<ll> node;
  segtree(ll N){
    n=1;
    while(n<N) n*=2;
    node.resize(2*n);
  }
  void add(int x,int y){
    x+=n;
    while(x){
      node[x]+=y;
      x/=2;
    }
  }
  ll prod(ll l,ll r,ll a,ll b,ll k){
    if(r<=a||b<=l) return 0;
    if(l<=a&&b<=r) return node[k];
    return prod(l,r,a,(a+b)/2,2*k)+prod(l,r,(a+b)/2,b,2*k+1);
  }
  ll prod(ll l,ll r){
    return prod(l,r,0,n,1);
  }
};
ll solve(ll n,ll d,ll m,vector<ll> a,vector<ll> b){
  for(int i=0;i<n;i++){
      ll x=a[i]+b[i];
      ll y=a[i]-b[i]+m;
      a[i]=x;
      b[i]=y;
    }
    ll ans=0;
    segtree seg(3*m+100);
    vector<vector<ll>> iv;
    for(int i=0;i<n;i++){
      iv.pb({a[i],0,b[i]});
      iv.pb({a[i]+d,1,max(b[i]-d,0ll),b[i]+d,b[i]});
    }
    sor(iv);
    for(auto e:iv){
      if(e[1]==0){
        seg.add(e[2],1);
      }
      else{
        ans+=seg.prod(e[2],e[3]+1);
        seg.add(e[4],-1);
      }
    }
  return ans-n;
}
int main() {
  cincout();
  ll b,n,d,m;
  cin>>b>>n>>d>>m;
  if(b==1){
    vector<ll> a(n);
    vcin(a);
    sor(a);
    a.pb(inf);
    ll ok=0;
    ll ans=0;
    for(int i=0;i<n;i++){
      while(abs(a[i]-a[ok+1])<=d) ok++;
      ans+=ok-i;
    }
    cout<<ans<<endl;
    return 0;
  }
  if(b==2){
    vector<ll> a(n),b(n);
    for(int i=0;i<n;i++){
      cin>>a[i]>>b[i];
      ll x=a[i]+b[i];
      ll y=a[i]-b[i]+m;
      a[i]=x;
      b[i]=y;
    }
    ll ans=0;
    segtree seg(3*m+100);
    vector<vector<ll>> iv;
    for(int i=0;i<n;i++){
      iv.pb({a[i],0,b[i]});
      iv.pb({a[i]+d,1,max(b[i]-d,0ll),b[i]+d,b[i]});
    }
    sor(iv);
    for(auto e:iv){
      if(e[1]==0){
        seg.add(e[2],1);
      }
      else{
        ans+=seg.prod(e[2],e[3]+1);
        seg.add(e[4],-1);
      }
    }
    cout<<ans-n<<endl;
  }
  if(b==3){
    vector<ll> a(n),b(n),c(n);
    for(int i=0;i<n;i++) cin>>a[i]>>b[i]>>c[i];
    ll ans=0;
    vector<vector<P>> dk(m+1);
    for(int i=0;i<n;i++) dk[c[i]].pb({a[i],b[i]});
    for(int i=1;i<=m;i++){
      for(int j=i+1;j<=m;j++){
        if(abs(i-j)>d) continue;
        {
          vector<ll> A,B;
          for(auto e:dk[j]){
            A.pb(e.fi);
            B.pb(e.se);
          }
          for(auto e:dk[i]){
            A.pb(e.fi);
            B.pb(e.se);
          }
          ans+=solve(ll(A.size()),d-abs(i-j),m,A,B);
        }
        {
          vector<ll> A,B;
          for(auto e:dk[i]){
            A.pb(e.fi);
            B.pb(e.se);
          }
          ans-=solve(ll(A.size()),d-abs(i-j),m,A,B);
        }
        {
          vector<ll> A,B;
          for(auto e:dk[j]){
            A.pb(e.fi);
            B.pb(e.se);
          }
          ans-=solve(ll(A.size()),d-abs(i-j),m,A,B);
        }
      }
    }
    for(int i=1;i<=m;i++){
      for(int j=i;j<=i;j++){
        if(abs(i-j)>d) continue;
        {
          vector<ll> A,B;
          for(auto e:dk[i]){
            A.pb(e.fi);
            B.pb(e.se);
          }
          ans+=solve(ll(A.size()),d-abs(i-j),m,A,B);
        }
      }
    }
    cout<<ans<<endl;
  }
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 0 ms 212 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2004 KB Output is correct
2 Correct 10 ms 2004 KB Output is correct

Subtask #4
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 2016 KB Output is correct
2 Correct 15 ms 2000 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 2004 KB Output is correct
2 Correct 15 ms 1992 KB Output is correct
3 Correct 14 ms 1908 KB Output is correct

Subtask #6
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4552 KB Output is correct
2 Correct 3 ms 4564 KB Output is correct

Subtask #7
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 14692 KB Output is correct
2 Correct 77 ms 14660 KB Output is correct

Subtask #8
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 14784 KB Output is correct
2 Correct 87 ms 14708 KB Output is correct
3 Correct 85 ms 14680 KB Output is correct
4 Correct 79 ms 14712 KB Output is correct

Subtask #9
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 99 ms 18780 KB Output is correct
2 Correct 117 ms 18704 KB Output is correct
3 Correct 106 ms 18800 KB Output is correct
4 Correct 94 ms 18704 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 340 KB Output is correct
2 Correct 42 ms 340 KB Output is correct

Subtask #11
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 9608 KB Output is correct
2 Correct 796 ms 9640 KB Output is correct
3 Correct 826 ms 9680 KB Output is correct

Subtask #12
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1509 ms 6228 KB Output is correct
2 Execution timed out 4061 ms 6112 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #13
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3764 ms 6232 KB Output is correct
2 Execution timed out 4072 ms 6360 KB Time limit exceeded
3 Halted 0 ms 0 KB -