oj.uz

Submission #208513

# Submission time Handle Problem Language Result Execution time Memory
208513 2020-03-11T11:41:56 Z Alexa2001 Trampoline (info1cup20_trampoline) C++17
100 / 100
 402 ms 20088 KB 
#include <bits/stdc++.h>

using namespace std;

/* Problem: Trampoline
 * Complexity: O(NlogN + TlogN)
 * Score: 100
 */ 

const int Nmax = 2e5 + 5, lg = 20, lim = 1e9;

int n, m, p;
int father[lg+2][Nmax], Next[Nmax];

pair<int,int> a[Nmax];

int nr_yes, nr_no, cVal;


void answer_yes(int x)
{
    cout << "Yes\n";
}

void answer_no(int x)
{
    cout << "No\n";
}

void Read()
{
    assert( cin >> n >> m >> p );
    assert( n <= lim && m <= lim && p <= 200000);

    int i;
    for(i=1; i<=p; ++i)
        cin >> a[i].first >> a[i].second;

    sort(a+1, a+p+1);
}

int BinarySearch(pair<int,int> w)
{
    int l = 1, r = p, mid;

    while(l <= r)
    {
        mid = (l + r) / 2;
        if(a[mid] < w) l = mid + 1;
        else r = mid - 1;
    }
    return l;
}

void ComputeNext()
{
    int i;
    for(i=1; i<=p; ++i)
    {
        int id = BinarySearch({ a[i].first + 1, a[i].second });

        if(id > p || a[id].first != a[i].first + 1)
            Next[i] = 0;
        else Next[i] = id;
    }
}

void ComputeAncestors()
{
    int i, j;

    for(i=1; i<=p; ++i)
        father[0][i] = Next[i];

    for(i=1; i<=lg; ++i)
        for(j=1; j<=p; ++j)
            father[i][j] = father[i-1][father[i-1][j]];
}

int FindMyAncestor(int node, int up)
{
    int i;
    for(i=0; i<=lg; ++i)
        if(up & (1<<i))
        {
            node = father[i][node];
            if(!node) return 0;
        }
    return node;
}

void SolveQueries()
{
    int q;
    assert( cin >> q );
    assert ( q <= 200000 );

    int i;
    for(i=1; i<=q; ++i)
    {
        int X1, Y1, X2, Y2;
        assert( cin >> X1 >> Y1 >> X2 >> Y2 );       
        assert( 1 <= X1 && 1 <= X2 && 1 <= Y1 && 1 <= Y2 && X1 <= lim && X2 <= lim && Y1 <= lim && Y2 <= lim);

        if(make_pair(X1, Y1) > make_pair(X2, Y2))
        {
            answer_no(i);
            continue;
        }

        if(X1 == X2)
        {
            answer_yes(i);
            continue;
        }

        int id = BinarySearch({X1, Y1});
        if(id > p || a[id].first != X1)
        {
            answer_no(i);
            continue;
        }

        int w = FindMyAncestor(id, X2 - X1 - 1);

        if(w == 0)
        {
            answer_no(i);
            continue;
        }

        if(a[w].second <= Y2)
           answer_yes(i);
        else answer_no(i);
    }
}

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

    Read();
    ComputeNext();
    ComputeAncestors();
    SolveQueries();

    return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 1272 KB 200 token(s): yes count is 21, no count is 179
2 Correct 9 ms 1400 KB 200 token(s): yes count is 70, no count is 130
3 Correct 7 ms 1144 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 88 ms 19192 KB 4000 token(s): yes count is 99, no count is 3901
2 Correct 90 ms 19192 KB 4000 token(s): yes count is 91, no count is 3909
3 Correct 88 ms 19308 KB 4000 token(s): yes count is 4000, no count is 0
4 Correct 90 ms 19192 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 251 ms 19832 KB 200000 token(s): yes count is 110486, no count is 89514
2 Correct 264 ms 19960 KB 200000 token(s): yes count is 114664, no count is 85336
3 Correct 263 ms 19832 KB 200000 token(s): yes count is 86232, no count is 113768
4 Correct 278 ms 19832 KB 200000 token(s): yes count is 94603, no count is 105397
5 Correct 271 ms 19832 KB 200000 token(s): yes count is 94148, no count is 105852
6 Correct 268 ms 19828 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 11 ms 1016 KB 5000 token(s): yes count is 3238, no count is 1762
2 Correct 11 ms 888 KB 5000 token(s): yes count is 3837, no count is 1163
3 Correct 13 ms 1016 KB 5000 token(s): yes count is 4104, no count is 896
4 Correct 11 ms 1020 KB 5000 token(s): yes count is 3934, no count is 1066
5 Correct 11 ms 888 KB 5000 token(s): yes count is 3384, no count is 1616
6 Correct 12 ms 1144 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 399 ms 19976 KB 200000 token(s): yes count is 171404, no count is 28596
2 Correct 381 ms 19832 KB 200000 token(s): yes count is 161254, no count is 38746
3 Correct 292 ms 19832 KB 200000 token(s): yes count is 117455, no count is 82545
4 Correct 397 ms 19960 KB 200000 token(s): yes count is 182118, no count is 17882
5 Correct 324 ms 19944 KB 200000 token(s): yes count is 167565, no count is 32435
6 Correct 270 ms 19832 KB 200000 token(s): yes count is 156797, no count is 43203
7 Correct 293 ms 19948 KB 200000 token(s): yes count is 156797, no count is 43203
8 Correct 287 ms 19832 KB 200000 token(s): yes count is 122100, no count is 77900
9 Correct 398 ms 19924 KB 200000 token(s): yes count is 139670, no count is 60330
10 Correct 390 ms 19960 KB 200000 token(s): yes count is 165806, no count is 34194
11 Correct 402 ms 20088 KB 200000 token(s): yes count is 175646, no count is 24354
12 Correct 256 ms 19832 KB 200000 token(s): yes count is 134695, no count is 65305
13 Correct 272 ms 19960 KB 200000 token(s): yes count is 126733, no count is 73267
14 Correct 331 ms 19952 KB 200000 token(s): yes count is 155290, no count is 44710
15 Correct 267 ms 19960 KB 200000 token(s): yes count is 129674, no count is 70326