oj.uz

Submission #675305

# Submission time Handle Problem Language Result Execution time Memory
675305 2022-12-27T03:53:45 Z uylulu Trampoline (info1cup20_trampoline) C++17
100 / 100
 1237 ms 323764 KB 
#include <bits/stdc++.h>
using namespace std;

#define ld long double
// #define int long long
#define endl "\n"

const int N = 3e5,K = 20;

int r,c,n,q;

map<int,vector<int>> green;

vector<vector<int>> idx;
vector<int> row;

vector<int> sparse[N + 1][K + 1];

int query(int r1,int c1,int r2) {
    r1--;
    r2--;

    int len = r2 - r1;
    if(r1 == r2) {
        auto it = lower_bound(idx[r1].begin(),idx[r1].end(),c1);
        return (*it);
    }
    auto it = lower_bound(idx[r1].begin(),idx[r1].end(),c1);

    if(it == idx[r1].end()) return INT_MAX;
    
    int pp = it - idx[r1].begin();

    int res = c1;
    for(int j = K;j >= 0;j--) {
        int tmp = (len >> j) % 2;

        if(tmp == 0) continue;

        int nxt = sparse[r1][j][pp];

        r1 += (1<<j);
        res = max(res,nxt);

        it = lower_bound(idx[r1].begin(),idx[r1].end(),nxt);
        
        if(it == idx[r1].end()) {
            return INT_MAX;
        }
        pp = it - idx[r1].begin();
    }
    return res;

}

map<int,int> uy;

signed main() {
    ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    // freopen("in.txt","r",stdin);
    // freopen("out.txt","w",stdout);

    cin>>r>>c>>n;

    for(int i = 0;i < n;i++) {
        int x,y;
        cin>>x>>y;
        green[x].push_back(y);
    }

    for(auto u : green) {
        u.second.push_back(INT_MAX);
        sort(u.second.begin(),u.second.end());
        idx.push_back(u.second);
        row.push_back(u.first);
    }

    for(int i = 0;i < idx.size();i++) {
        for(int j = 0;j <= K;j++) {
            sparse[i][j].assign(idx[i].size(),0);
        }
    }

    for(int i = 0;i < idx.size();i++) {
        uy[row[i]] = i + 1;

        for(int j = 0;j < idx[i].size();j++) {
            if(i == (int)idx.size() - 1 || row[i] + 1 != row[i + 1]) {
                sparse[i][0][j] = INT_MAX;
            } else {
                auto it = lower_bound(idx[i + 1].begin(),idx[i + 1].end(),idx[i][j]);
                if(it == idx[i + 1].end()) {
                    sparse[i][0][j] = INT_MAX;
                } else {
                    sparse[i][0][j] = (*it);
                }
            }
        }
    }

    for(int j = 1;j <= K;j++) {
        for(int i = 0;i + (1<<j) <= (int)idx.size();i++) {
            for(int pp = 0;pp < idx[i].size();pp++) {

                int fi = sparse[i][j - 1][pp];

                auto it = lower_bound(idx[i + (1<<(j - 1))].begin(),idx[i + (1<<(j - 1))].end(),fi);

                if(row[i + (1<<(j - 1)) - 1] + 1 != row[i + (1<<(j - 1))]) {
                    sparse[i][j][pp] = INT_MAX;
                } else {
                    int pos = it - idx[i + (1<<(j - 1))].begin();
                    sparse[i][j][pp] = sparse[i + (1<<(j - 1))][j - 1][pos];
                }
            }

        }
    }

    int q;
    cin>>q;
    while(q--) {
        int r1,c1,r2,c2;
        cin>>r1>>c1>>r2>>c2;

        if(r1 > r2 || c1 > c2) {
            cout<<"NO"<<endl;
            continue;
        }
        if(r1 == r2) {
            cout<<"YES"<<endl;
            continue;
        }
        r1 = uy[r1];

        if(r1 == 0) {
            cout<<"NO"<<endl;
            continue;
        }

        int mn = INT_MAX;
        if(uy[r2] != 0) {
            mn = min(mn,query(r1,c1,uy[r2]));
        }
        if(uy[r2 - 1] != 0) {
            mn = min(mn,query(r1,c1,uy[r2 - 1]));
        }
        if(mn > c2) {
            cout<<"NO"<<endl;
        } else {
            cout<<"YES"<<endl;
        }
    }

    return 0;
}

Compilation message

trampoline.cpp: In function 'int main()':
trampoline.cpp:79:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |     for(int i = 0;i < idx.size();i++) {
      |                   ~~^~~~~~~~~~~~
trampoline.cpp:85:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |     for(int i = 0;i < idx.size();i++) {
      |                   ~~^~~~~~~~~~~~
trampoline.cpp:88:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |         for(int j = 0;j < idx[i].size();j++) {
      |                       ~~^~~~~~~~~~~~~~~
trampoline.cpp:104:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |             for(int pp = 0;pp < idx[i].size();pp++) {
      |                            ~~~^~~~~~~~~~~~~~~

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 149180 KB 200 token(s): yes count is 21, no count is 179
2 Correct 80 ms 149364 KB 200 token(s): yes count is 70, no count is 130
3 Correct 86 ms 149020 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 204 ms 168196 KB 4000 token(s): yes count is 99, no count is 3901
2 Correct 183 ms 168184 KB 4000 token(s): yes count is 91, no count is 3909
3 Correct 222 ms 166900 KB 4000 token(s): yes count is 4000, no count is 0
4 Correct 232 ms 168224 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 385 ms 166932 KB 200000 token(s): yes count is 110486, no count is 89514
2 Correct 317 ms 166940 KB 200000 token(s): yes count is 114664, no count is 85336
3 Correct 345 ms 167180 KB 200000 token(s): yes count is 86232, no count is 113768
4 Correct 365 ms 168564 KB 200000 token(s): yes count is 94603, no count is 105397
5 Correct 372 ms 168444 KB 200000 token(s): yes count is 94148, no count is 105852
6 Correct 698 ms 209248 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 78 ms 148792 KB 5000 token(s): yes count is 3238, no count is 1762
2 Correct 80 ms 148716 KB 5000 token(s): yes count is 3837, no count is 1163
3 Correct 84 ms 152700 KB 5000 token(s): yes count is 4104, no count is 896
4 Correct 79 ms 148732 KB 5000 token(s): yes count is 3934, no count is 1066
5 Correct 81 ms 149752 KB 5000 token(s): yes count is 3384, no count is 1616
6 Correct 87 ms 148680 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 889 ms 219576 KB 200000 token(s): yes count is 171404, no count is 28596
2 Correct 632 ms 178648 KB 200000 token(s): yes count is 161254, no count is 38746
3 Correct 345 ms 167256 KB 200000 token(s): yes count is 117455, no count is 82545
4 Correct 1237 ms 323764 KB 200000 token(s): yes count is 182118, no count is 17882
5 Correct 699 ms 221804 KB 200000 token(s): yes count is 167565, no count is 32435
6 Correct 351 ms 167028 KB 200000 token(s): yes count is 156797, no count is 43203
7 Correct 342 ms 166984 KB 200000 token(s): yes count is 156797, no count is 43203
8 Correct 315 ms 167092 KB 200000 token(s): yes count is 122100, no count is 77900
9 Correct 765 ms 209356 KB 200000 token(s): yes count is 139670, no count is 60330
10 Correct 839 ms 207816 KB 200000 token(s): yes count is 165806, no count is 34194
11 Correct 1030 ms 265568 KB 200000 token(s): yes count is 175646, no count is 24354
12 Correct 270 ms 166964 KB 200000 token(s): yes count is 134695, no count is 65305
13 Correct 277 ms 166936 KB 200000 token(s): yes count is 126733, no count is 73267
14 Correct 436 ms 168008 KB 200000 token(s): yes count is 155290, no count is 44710
15 Correct 276 ms 167028 KB 200000 token(s): yes count is 129674, no count is 70326