oj.uz

Submission #523048

# Submission time Handle Problem Language Result Execution time Memory
523048 2022-02-06T19:22:31 Z Neacsu_Mihai Trampoline (info1cup20_trampoline) C++14
100 / 100
 265 ms 18324 KB 
#include <iostream>
#include <fstream>
#include <vector>
#include <algorithm>

#define NMAX 200000 //doua sute cincizeci de mii

using namespace std;

ifstream fin ("test.in");
ofstream fout ("test.out");

int R, C, N, T;
pair <int, int> s[NMAX + 1];
int t[25][NMAX + 1];

int cautareBinara(int x, int y){
    /*
        Imi returneaza, din lista de trambuline verzi, numarul celei de pe linia x, cu lowerboundul ei = y
        daca nu exista niciunul pe linia x, returneaza 0
    */

    int lo = 0;
    int hi = N + 1;
    int ans = 0;

    while(hi - lo > 1){
        int mid = lo + (hi - lo) / 2;

        if(s[mid].first > x){
            hi = mid;
        }
        else if(s[mid].first < x){
            lo = mid;
        }
        else if(s[mid].second < y){
            lo = mid;
        }
        else {
            ans = mid;
            hi = mid;
        }
    }

    return ans;
}

int stramos(int node, int nr){
    if(nr == 0){
        return s[node].second;
    }

    for(int i = 19; i >= 0; i--){
        if( (1 << i) <= nr ){
            node = t[i][node];
            nr -= (1 << i);
        }
    }
    ///daca node ajunge sa fie 0, inseamna ca nu exista al nr-lea stramos al lui node
    ///dar la mine trebuie sa existe ca sa zic 'Yes', ca altfel inseamna ca nu am destule trambuline pe drum
    ///adica inseamna ca nu am trambuline de la (xs, xf) destule
    ///si atunci vreau sa returnez ceva care sa ma faca sa afisez 'No', adica returnez un 'y' f mare, pentru ca eu urmeaza sa il compar cu yf
    if(node == 0){
        return 2000000000;
    }

    return s[node].second; ///returneaza 'y'-ul celui de-al 'nr'-ulea stramos al lui 'node'
}


int main()
{
    ios_base::sync_with_stdio(NULL);
    cin.tie(0);
    cout.tie(0);


    cin >> R >> C >> N; ///globale

    for(int i = 1; i <= N; i++){
        cin >> s[i].first >> s[i].second;
    }
    sort(s + 1, s + N + 1);

    for(int i = 1; i <= N; i++){
        int aux = cautareBinara(s[i].first + 1, s[i].second);
        t[0][i] = aux;
    }
    for(int i = 1; i <= 19; i++){
        for(int j = 1; j <= N; j++){
            t[i][j] = t[i - 1][ t[i - 1][j] ];
        }
    }


    cin >> T; ///global
    for(int Q = 1; Q <= T; Q++){

        int xs, ys, xf, yf;
        cin >> xs >> ys >> xf >> yf;

        if(xf == xs){ ///caz special ca altfel am niste valori cu -1 si nu are sens
            if(ys <= yf){
                cout << "Yes\n";
            }
            else {
                cout << "No\n";
            }
        }
        else if(xs > xf || ys > yf){
            cout << "No\n";
        }
        else {
            int st = cautareBinara(xs, ys); ///caut cel mai din stanga valid de pe linia 'xs'
            if(st == 0){
                cout << "No\n";
            }
            else if( stramos(st, xf - 1 - xs) <= yf ){ ///verific al 'xf - 1 - xs'-lea stramos al acestuia si verific daca e mai mic ca 'yf'
                cout << "Yes\n";
            }
            else {
                cout << "No\n";
            }
        }
    }

    return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1100 KB 200 token(s): yes count is 21, no count is 179
2 Correct 3 ms 1228 KB 200 token(s): yes count is 70, no count is 130
3 Correct 4 ms 1008 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 90 ms 17456 KB 4000 token(s): yes count is 99, no count is 3901
2 Correct 71 ms 17460 KB 4000 token(s): yes count is 91, no count is 3909
3 Correct 63 ms 17488 KB 4000 token(s): yes count is 4000, no count is 0
4 Correct 66 ms 17536 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 183 ms 18172 KB 200000 token(s): yes count is 110486, no count is 89514
2 Correct 178 ms 18212 KB 200000 token(s): yes count is 114664, no count is 85336
3 Correct 170 ms 18180 KB 200000 token(s): yes count is 86232, no count is 113768
4 Correct 179 ms 18200 KB 200000 token(s): yes count is 94603, no count is 105397
5 Correct 176 ms 18320 KB 200000 token(s): yes count is 94148, no count is 105852
6 Correct 197 ms 18116 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 6 ms 844 KB 5000 token(s): yes count is 3238, no count is 1762
2 Correct 5 ms 844 KB 5000 token(s): yes count is 3837, no count is 1163
3 Correct 5 ms 844 KB 5000 token(s): yes count is 4104, no count is 896
4 Correct 4 ms 884 KB 5000 token(s): yes count is 3934, no count is 1066
5 Correct 6 ms 880 KB 5000 token(s): yes count is 3384, no count is 1616
6 Correct 7 ms 844 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 245 ms 18300 KB 200000 token(s): yes count is 171404, no count is 28596
2 Correct 251 ms 18244 KB 200000 token(s): yes count is 161254, no count is 38746
3 Correct 186 ms 18236 KB 200000 token(s): yes count is 117455, no count is 82545
4 Correct 260 ms 18204 KB 200000 token(s): yes count is 182118, no count is 17882
5 Correct 195 ms 18280 KB 200000 token(s): yes count is 167565, no count is 32435
6 Correct 190 ms 18256 KB 200000 token(s): yes count is 156797, no count is 43203
7 Correct 190 ms 18296 KB 200000 token(s): yes count is 156797, no count is 43203
8 Correct 173 ms 18164 KB 200000 token(s): yes count is 122100, no count is 77900
9 Correct 237 ms 18176 KB 200000 token(s): yes count is 139670, no count is 60330
10 Correct 265 ms 18324 KB 200000 token(s): yes count is 165806, no count is 34194
11 Correct 256 ms 18292 KB 200000 token(s): yes count is 175646, no count is 24354
12 Correct 167 ms 18248 KB 200000 token(s): yes count is 134695, no count is 65305
13 Correct 193 ms 18256 KB 200000 token(s): yes count is 126733, no count is 73267
14 Correct 204 ms 18272 KB 200000 token(s): yes count is 155290, no count is 44710
15 Correct 167 ms 18232 KB 200000 token(s): yes count is 129674, no count is 70326