oj.uz

Submission #314448

# Submission time Handle Problem Language Result Execution time Memory
314448 2020-10-20T00:07:33 Z limabeans Trampoline (info1cup20_trampoline) C++17
100 / 100
 878 ms 55016 KB 
#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;


const int maxn = 2e5 + 5;
const int LOG = 21;

int n,m,t;
map<pair<int,int>,int> mp;
int X[maxn], Y[maxn];

vector<int> xord;
vector<int> row[maxn];

int par[LOG+1][maxn];


bool solve(int x1, int y1, int x2, int y2) {
    if (x1>x2) return false;
    if (y1>y2) return false;
    if (x1==x2) return true;

    int xi = std::lower_bound(xord.begin(),xord.end(),x1)-xord.begin();
    if (xi==(int)xord.size() || xord[xi]!=x1) {
	return false;
    }

    int yi = std::lower_bound(row[xi].begin(),row[xi].end(),y1)-row[xi].begin();
    if (yi==(int)row[xi].size()) {
	return false;
    }

    int at = mp[{x1, row[xi][yi]}];

    int dx = x2-x1-1;
    for (int i=LOG-1; i>=0; i--) {
	if (dx>>i&1) {
	    at = par[i][at];
	}
    }

    if (at == 0) return false;
    return Y[at] <= y2;
}

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

    cin>>n>>m>>t;

    for (int i=1; i<=t; i++) {
	cin>>X[i]>>Y[i];
	mp[{X[i],Y[i]}] = i;
	xord.push_back(X[i]);
    }

    sort(xord.begin(),xord.end());
    xord.erase(unique(xord.begin(),xord.end()),xord.end());
    
    for (int i=1; i<=t; i++) {
	int x = lower_bound(xord.begin(),xord.end(),X[i])-xord.begin();
	row[x].push_back(Y[i]);
    }


    for (int i=0; i<(int)xord.size(); i++) {
	sort(row[i].begin(),row[i].end());
    }

    for (int i=0; i<(int)xord.size() - 1; i++) {
	if (xord[i]+1 == xord[i+1]) {
	    for (int y: row[i]) {
		int atId = mp[{xord[i],y}];
		int yto = std::lower_bound(row[i+1].begin(),row[i+1].end(),y)-row[i+1].begin();
		if (yto < (int)row[i+1].size()) {
		    int toId = mp[{xord[i]+1,row[i+1][yto]}];
		    par[0][atId] = toId;
		}

	    }
	}
    }


    for (int j=1; j<LOG; j++) {
	for (int i=1; i<=t; i++) {
	    par[j][i] = par[j-1][par[j-1][i]];
	}
    }

    int q;
    cin>>q;
    
    while (q--) {
	int x1,y1,x2,y2;
	cin>>x1>>y1>>x2>>y2;
	cout<<(solve(x1,y1,x2,y2) ? "Yes\n" : "No\n");
    }
    
    return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 6656 KB 200 token(s): yes count is 21, no count is 179
2 Correct 13 ms 6912 KB 200 token(s): yes count is 70, no count is 130
3 Correct 10 ms 6388 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 303 ms 37936 KB 4000 token(s): yes count is 99, no count is 3901
2 Correct 305 ms 39656 KB 4000 token(s): yes count is 91, no count is 3909
3 Correct 291 ms 39016 KB 4000 token(s): yes count is 4000, no count is 0
4 Correct 297 ms 39664 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 516 ms 38352 KB 200000 token(s): yes count is 110486, no count is 89514
2 Correct 536 ms 38380 KB 200000 token(s): yes count is 114664, no count is 85336
3 Correct 547 ms 38376 KB 200000 token(s): yes count is 86232, no count is 113768
4 Correct 600 ms 38380 KB 200000 token(s): yes count is 94603, no count is 105397
5 Correct 587 ms 38252 KB 200000 token(s): yes count is 94148, no count is 105852
6 Correct 641 ms 39504 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 12 ms 6016 KB 5000 token(s): yes count is 3238, no count is 1762
2 Correct 12 ms 6272 KB 5000 token(s): yes count is 3837, no count is 1163
3 Correct 12 ms 6400 KB 5000 token(s): yes count is 4104, no count is 896
4 Correct 12 ms 6272 KB 5000 token(s): yes count is 3934, no count is 1066
5 Correct 13 ms 6272 KB 5000 token(s): yes count is 3384, no count is 1616
6 Correct 12 ms 6272 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 829 ms 39776 KB 200000 token(s): yes count is 171404, no count is 28596
2 Correct 771 ms 50524 KB 200000 token(s): yes count is 161254, no count is 38746
3 Correct 564 ms 50024 KB 200000 token(s): yes count is 117455, no count is 82545
4 Correct 878 ms 55016 KB 200000 token(s): yes count is 182118, no count is 17882
5 Correct 689 ms 51568 KB 200000 token(s): yes count is 167565, no count is 32435
6 Correct 628 ms 50152 KB 200000 token(s): yes count is 156797, no count is 43203
7 Correct 612 ms 50280 KB 200000 token(s): yes count is 156797, no count is 43203
8 Correct 570 ms 50256 KB 200000 token(s): yes count is 122100, no count is 77900
9 Correct 788 ms 51048 KB 200000 token(s): yes count is 139670, no count is 60330
10 Correct 814 ms 51096 KB 200000 token(s): yes count is 165806, no count is 34194
11 Correct 875 ms 53100 KB 200000 token(s): yes count is 175646, no count is 24354
12 Correct 514 ms 50284 KB 200000 token(s): yes count is 134695, no count is 65305
13 Correct 556 ms 50284 KB 200000 token(s): yes count is 126733, no count is 73267
14 Correct 667 ms 50280 KB 200000 token(s): yes count is 155290, no count is 44710
15 Correct 539 ms 50408 KB 200000 token(s): yes count is 129674, no count is 70326