oj.uz

Submission #514688

# Submission time Handle Problem Language Result Execution time Memory
514688 2022-01-18T10:59:16 Z Theo830 Trampoline (info1cup20_trampoline) C++17
100 / 100
 1586 ms 125376 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1e9+7;
const ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<ii,ll>
#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
ll an[200005][20];
ll depth[200005];
vector<vll>adj;
void build(ll s,ll p){
    an[s][0] = p;
    f(i,1,20){
        an[s][i] = an[an[s][i-1]][i-1];
    }
    for(auto x:adj[s]){
        if(x != p){
            depth[x] = depth[s] + 1;
            build(x,s);
        }
    }
}
ll kth(ll x,ll k){
    ll ans = x;
    if(depth[x] <= k){
        return 0;
    }
    ll pos = 0;
    while(k > 0){
        if(k % 2){
            ans = an[ans][pos];
        }
        pos++;
        k /= 2;
    }
    return ans;
}
int main(void){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    ll r,c;
    cin>>r>>c;
    map<ll,ll>mp;
    set<ll>ex;
    ll n;
    cin>>n;
    ll a[n+1],b[n+1];
    adj.assign(200005,vll());
    f(i,0,n){
        cin>>a[i]>>b[i];
        ex.insert(a[i]);
    }
    ll pos = 0;
    for(auto x:ex){
        mp[x] = pos;
        pos++;
    }
    set<ll> exo[(ll)ex.size() + 5];
    ii sim[200005];
    map<ii,ll>M;
    pos = 1;
    f(i,0,n){
        exo[mp[a[i]]].insert(b[i]);
        sim[pos] = ii(a[i],b[i]);
        M[ii(a[i],b[i])] = pos;
        pos++;
    }
    ll p = 0;
    for(auto x:ex){
        for(auto y:exo[p]){
            if(!ex.count(x+1)){
                adj[0].pb(M[ii(x,y)]);
                adj[M[ii(x,y)]].pb(0);
            }
            auto it = exo[p+1].lower_bound(y);
            if(it == exo[p+1].end()){
                adj[0].pb(M[ii(x,y)]);
                adj[M[ii(x,y)]].pb(0);
            }
            else{
                adj[M[ii(x+1,(*it))]].pb(M[ii(x,y)]);
                adj[M[ii(x,y)]].pb(M[ii(x+1,(*it))]);
            }
        }
        p++;
    }
    build(0,0);
    ll t;
    cin>>t;
    while(t--){
        ll xa,ya,xb,yb;
        cin>>xa>>ya>>xb>>yb;
        bool ok = 1;
        if(xa > xb || ya > yb){
            ok = 0;
        }
        auto it = exo[mp[xa]].lower_bound(ya);
        if(xa != xb){
            if(!ex.count(xa) || it == exo[mp[xa]].end()){
                ok = 0;
            }
            else{
                ll v = kth(M[ii(xa,(*it))],xb - xa - 1);
                if(v == 0 || sim[v].S > yb){
                    ok = 0;
                }
            }
        }
        if(ok){
            cout<<"Yes\n";
        }
        else{
            cout<<"No\n";
        }
    }
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 10956 KB 200 token(s): yes count is 21, no count is 179
2 Correct 18 ms 11368 KB 200 token(s): yes count is 70, no count is 130
3 Correct 13 ms 10444 KB 197 token(s): yes count is 25, no count is 172

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 439 ms 73928 KB 4000 token(s): yes count is 99, no count is 3901
2 Correct 475 ms 73844 KB 4000 token(s): yes count is 91, no count is 3909
3 Correct 483 ms 72876 KB 4000 token(s): yes count is 4000, no count is 0
4 Correct 469 ms 74028 KB 4000 token(s): yes count is 1991, no count is 2009

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 675 ms 75080 KB 200000 token(s): yes count is 110486, no count is 89514
2 Correct 675 ms 76208 KB 200000 token(s): yes count is 114664, no count is 85336
3 Correct 730 ms 74192 KB 200000 token(s): yes count is 86232, no count is 113768
4 Correct 814 ms 74436 KB 200000 token(s): yes count is 94603, no count is 105397
5 Correct 856 ms 74336 KB 200000 token(s): yes count is 94148, no count is 105852
6 Correct 1098 ms 87684 KB 200000 token(s): yes count is 97163, no count is 102837

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 9804 KB 5000 token(s): yes count is 3238, no count is 1762
2 Correct 15 ms 9804 KB 5000 token(s): yes count is 3837, no count is 1163
3 Correct 22 ms 10880 KB 5000 token(s): yes count is 4104, no count is 896
4 Correct 13 ms 9740 KB 5000 token(s): yes count is 3934, no count is 1066
5 Correct 16 ms 10092 KB 5000 token(s): yes count is 3384, no count is 1616
6 Correct 13 ms 9804 KB 5000 token(s): yes count is 3390, no count is 1610

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1366 ms 90216 KB 200000 token(s): yes count is 171404, no count is 28596
2 Correct 1115 ms 89772 KB 200000 token(s): yes count is 161254, no count is 38746
3 Correct 784 ms 86024 KB 200000 token(s): yes count is 117455, no count is 82545
4 Correct 1580 ms 125376 KB 200000 token(s): yes count is 182118, no count is 17882
5 Correct 1032 ms 100184 KB 200000 token(s): yes count is 167565, no count is 32435
6 Correct 747 ms 88084 KB 200000 token(s): yes count is 156797, no count is 43203
7 Correct 744 ms 87932 KB 200000 token(s): yes count is 156797, no count is 43203
8 Correct 806 ms 86036 KB 200000 token(s): yes count is 122100, no count is 77900
9 Correct 1250 ms 99300 KB 200000 token(s): yes count is 139670, no count is 60330
10 Correct 1282 ms 99080 KB 200000 token(s): yes count is 165806, no count is 34194
11 Correct 1586 ms 112592 KB 200000 token(s): yes count is 175646, no count is 24354
12 Correct 708 ms 87036 KB 200000 token(s): yes count is 134695, no count is 65305
13 Correct 730 ms 86776 KB 200000 token(s): yes count is 126733, no count is 73267
14 Correct 895 ms 86056 KB 200000 token(s): yes count is 155290, no count is 44710
15 Correct 737 ms 85848 KB 200000 token(s): yes count is 129674, no count is 70326