oj.uz

Submission #447613

# Submission time Handle Problem Language Result Execution time Memory
447613 2021-07-27T06:45:35 Z blue Long Mansion (JOI17_long_mansion) C++17
25 / 100
 3000 ms 154956 KB 
#include <iostream>
#include <vector>
#include <stack>
#include <set>
using namespace std;

const int INF = 1e9;

const int maxN = 500'000;
const int lgN = 19;




int N;
vector<int> C(1+maxN+1);
vector<int> key_pos_list[1+maxN+1];




vector<int> left_key_pos(1+maxN+1);
vector<int> right_key_pos(1+maxN+1);




vector<int> go_left(1+maxN+1);
vector<int> go_right(1+maxN+1);



bool queryAdj(int i, int j)
{
    if(i == 0 || i == N+1) return 1;

    if(j == i+1) return (go_left[i] <= right_key_pos[i]);
    else if(j == i-1) return (left_key_pos[i] <= go_right[i]);
    else
    {
        cout << "ERROR\n";
        return 0;
    }
}



vector<int> left_reach(1+maxN+1);
vector<int> right_reach(1+maxN+1);







struct segtree
{
    int l;
    int r;

    int mn = 0;
    int mx = 0;

    segtree* left = NULL;
    segtree* right = NULL;

    segtree()
    {
        ;
    }

    segtree(int L, int R)
    {
        l = L;
        r = R;
        if(l == r) return;
        int m = (l+r)/2;
        left = new segtree(l, m);
        right = new segtree(m+1, r);
    }

    void update(int I, int V)
    {
        if(I < l || r < I) return;
        else if(l == r)
        {
            mn = mx = V;
        }
        else
        {
            left->update(I, V);
            right->update(I, V);
            mn = min(left->mn, right->mn);
            mx = max(left->mx, right->mx);
        }
    }

    int rangemax(int L, int R)
    {
        if(R < l || r < L) return -INF;
        else if(L <= l && r <= R)
        {
            return mx;
        }
        else
        {
            return max(left->rangemax(L, R), right->rangemax(L, R));
        }
    }

    int rangemin(int L, int R)
    {
        if(R < l || r < L) return INF;
        else if(L <= l && r <= R)
        {
            return mn;
        }
        else
        {
            return min(left->rangemin(L, R), right->rangemin(L, R));
        }
    }
};





int main()
{
//PART 0: INPUT
    cin >> N;

    for(int i = 1; i+1 <= N; i++)
        cin >> C[i];

    for(int k = 1; k <= N; k++)
        key_pos_list[k].push_back(0);

    for(int i = 1; i <= N; i++)
    {
        int B;
        cin >> B;

        for(int j = 1; j <= B; j++)
        {
            int A;
            cin >> A;

            key_pos_list[A].push_back(i);
        }
    }

    for(int k = 1; k <= N; k++)
        key_pos_list[k].push_back(N+1);









//PART 1: left_key_pos, right_key_pos;

    left_key_pos[1] = N+1;
    for(int i = 2; i <= N; i++)
    {
        int ind = -1;
        for(int bit = lgN; bit >= 0; bit--)
        {
            if(ind + (1 << bit) >= key_pos_list[ C[i-1] ].size()) continue;
            if(key_pos_list[ C[i-1] ][ind + (1 << bit)] >= i) continue;
            ind += (1 << bit);
        }
        ind++;
        left_key_pos[i] = key_pos_list[ C[i-1] ][ind];
    }

    segtree left_key_segtree(1, N);
    for(int i = 1; i <= N; i++) left_key_segtree.update(i, left_key_pos[i]);


    right_key_pos[N] = 0;
    for(int i = N-1; i >= 1; i--)
    {
        int ind = -1;
        for(int bit = lgN; bit >= 0; bit--)
        {
            if(ind + (1 << bit) >= key_pos_list[ C[i] ].size()) continue;
            if(key_pos_list[ C[i] ][ind + (1 << bit)] > i) continue;
            ind += (1 << bit);
        }
        right_key_pos[i] = key_pos_list[ C[i] ][ind];
    }

    segtree right_key_segtree(1, N);
    for(int i = 1; i <= N; i++) right_key_segtree.update(i, right_key_pos[i]);











// PART 2: go_left, go_right;

    stack<int> left_wall;
    for(int i = 1; i <= N; i++)
    {
        // cerr << "i = " << i << '\n';
        left_wall.push(i);
        while(left_key_pos[ left_wall.top() ] <= i)
            left_wall.pop();

        go_left[i] = left_wall.top();
    }

    stack<int> right_wall;
    for(int i = N; i >= 1; i--)
    {
        // cerr << "i = " << i << '\n';
        right_wall.push(i);
        while(right_key_pos[ right_wall.top() ] >= i)
            right_wall.pop();

        go_right[i] = right_wall.top();
    }

    // cerr << "\n\n";
    // for(int i = 1; i <= N; i++) cerr << go_left[i] << ' ' << go_right[i] << '\n';





    //left_wall and right_wall are now used differently.


//PART 3: left_reach

    vector<int> tmp;


    while(!left_wall.empty()) left_wall.pop();

    for(int i = 1; i <= N; i++)
    {
        // cerr << "\n\n\n";
        // cerr << "i = " << i << '\n';
        if(queryAdj(i, i-1) == 0) //i is start of LC
        {
            left_reach[i] = i;
            left_wall.push(i);

            // cerr << "case 1: " << left_reach[i] << '\n';
        }
        else if(queryAdj(i+1, i) == 1) //i is in the middle of LC
        {
            if(queryAdj(i, i+1) == 1)
            {
                //compute i+1, then solve for this
                tmp.push_back(i);
            }
            else
            {
                left_reach[i] = go_left[i];

                for(int t: tmp) left_reach[t] = left_reach[i];
                tmp.clear();
            }
        }
        else
        {
            // cerr << "case 2 \n";
            int curr_go_right = go_right[i];
            // while(left_key_pos[ left_wall.top() ] <= go_right[i]) //do a binary search!!!!!
            //     left_wall.pop();

            // cerr << left_wall.top() << ' ' << left_key_pos[left_wall.top()] << ' ' << curr_go_right << '\n';
            for(int bit = lgN; bit >= 0; bit--)
            {
                int new_go_right = curr_go_right + (1 << bit);
                if(new_go_right > N) continue;

                if(left_wall.top() <= right_key_segtree.rangemin(i, new_go_right - 1))
                    curr_go_right = new_go_right;
            }


            while(left_key_pos[ left_wall.top() ] <= curr_go_right)
            {
                left_wall.pop();

                for(int bit = lgN; bit >= 0; bit--)
                {
                    int new_go_right = curr_go_right + (1 << bit);
                    if(new_go_right > N) continue;

                    if(left_wall.top() <= right_key_segtree.rangemin(i, new_go_right - 1))
                        curr_go_right = new_go_right;
                }

                // cerr << left_wall.top() << ' ' << left_key_pos[left_wall.top()] << ' ' << curr_go_right << '\n';
            }

            left_reach[i] = left_wall.top();
            for(int t: tmp) left_reach[t] = left_reach[i];
            tmp.clear();
        }
    }








//PART 4: right_reach


    tmp.clear();

    while(!right_wall.empty()) right_wall.pop();

    for(int i = N; i >= 1; i--)
    {
        // cerr << "\n\n\n";
        // cerr << "i = " << i << '\n';
        if(queryAdj(i, i+1) == 0)
        {
            right_reach[i] = i;
            right_wall.push(i);
        }
        else if(queryAdj(i-1, i) == 1)
        {
            if(queryAdj(i, i-1) == 1)
            {
                tmp.push_back(i);
            }
            else
            {
                right_reach[i] = go_right[i];

                for(int t: tmp) right_reach[t] = right_reach[i];
                tmp.clear();
            }
        }
        else
        {
            int curr_go_left = go_left[i];

            for(int bit = lgN; bit >= 0; bit--)
            {
                int new_go_left = curr_go_left - (1 << bit);
                if(new_go_left < 1) continue;

                if(right_wall.top() >= left_key_segtree.rangemax(new_go_left + 1, i))
                    curr_go_left = new_go_left;
            }

            // while(right_key_pos[ right_wall.top() ] >= i) //do a binary search!!!!!
            //     right_wall.pop();

            // cerr << right_wall.top() << ' ' << right_key_pos[ right_wall.top() ] << ' ' << curr_go_left << '\n';

            while(right_key_pos[ right_wall.top() ] >= curr_go_left)
            {
                right_wall.pop();
                for(int bit = lgN; bit >= 0; bit--)
                {
                    int new_go_left = curr_go_left - (1 << bit);
                    if(new_go_left < 1) continue;

                    if(right_wall.top() >= left_key_segtree.rangemax(new_go_left + 1, i))
                        curr_go_left = new_go_left;
                }

                // cerr << right_wall.top() << ' ' << right_key_pos[ right_wall.top() ] << ' ' << curr_go_left << '\n';
            }


            right_reach[i] = right_wall.top();
            for(int t: tmp) right_reach[t] = right_reach[i];
            tmp.clear();
        }
    }






    // cerr << "\n\n\n";



//PART 5: QUERIES
    // for(int i = 1; i <= N; i++) cerr << i << ": " << left_reach[i] << ' ' << right_reach[i] << '\n';


    int Q;
    cin >> Q;

    for(int q = 1; q <= Q; q++)
    {
        int X, Y;
        cin >> X >> Y;

        if(left_reach[X] <= Y && Y <= right_reach[X])
            cout << "YES\n";
        else
            cout << "NO\n";
    }
}

Compilation message

long_mansion.cpp: In function 'int main()':
long_mansion.cpp:174:33: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  174 |             if(ind + (1 << bit) >= key_pos_list[ C[i-1] ].size()) continue;
      |                ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
long_mansion.cpp:192:33: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  192 |             if(ind + (1 << bit) >= key_pos_list[ C[i] ].size()) continue;
      |                ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 26164 KB Output is correct
2 Correct 31 ms 26400 KB Output is correct
3 Correct 32 ms 26892 KB Output is correct
4 Correct 30 ms 26188 KB Output is correct
5 Correct 27 ms 26144 KB Output is correct
6 Correct 29 ms 26224 KB Output is correct
7 Correct 28 ms 26228 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 26164 KB Output is correct
2 Correct 31 ms 26400 KB Output is correct
3 Correct 32 ms 26892 KB Output is correct
4 Correct 30 ms 26188 KB Output is correct
5 Correct 27 ms 26144 KB Output is correct
6 Correct 29 ms 26224 KB Output is correct
7 Correct 28 ms 26228 KB Output is correct
8 Correct 1134 ms 27724 KB Output is correct
9 Correct 1088 ms 27796 KB Output is correct
10 Correct 1066 ms 28060 KB Output is correct
11 Correct 1082 ms 28752 KB Output is correct
12 Correct 1053 ms 27684 KB Output is correct
13 Correct 1058 ms 27904 KB Output is correct
14 Correct 1072 ms 28100 KB Output is correct
15 Correct 1117 ms 27916 KB Output is correct
16 Correct 1061 ms 28244 KB Output is correct
17 Correct 1059 ms 27844 KB Output is correct
18 Correct 1092 ms 27920 KB Output is correct
19 Correct 1080 ms 28104 KB Output is correct
20 Correct 1068 ms 28052 KB Output is correct
21 Correct 1044 ms 28376 KB Output is correct
22 Correct 1071 ms 27896 KB Output is correct
23 Correct 1079 ms 27720 KB Output is correct
24 Correct 1067 ms 28004 KB Output is correct
25 Correct 1066 ms 27780 KB Output is correct
26 Correct 1077 ms 27844 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1544 ms 51332 KB Output is correct
2 Correct 1542 ms 58232 KB Output is correct
3 Correct 1452 ms 58116 KB Output is correct
4 Correct 1559 ms 58512 KB Output is correct
5 Correct 1579 ms 58344 KB Output is correct
6 Correct 1398 ms 56840 KB Output is correct
7 Correct 1339 ms 56756 KB Output is correct
8 Correct 1256 ms 56716 KB Output is correct
9 Correct 1239 ms 56992 KB Output is correct
10 Correct 1238 ms 56800 KB Output is correct
11 Correct 1250 ms 56932 KB Output is correct

Subtask #4
0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 26164 KB Output is correct
2 Correct 31 ms 26400 KB Output is correct
3 Correct 32 ms 26892 KB Output is correct
4 Correct 30 ms 26188 KB Output is correct
5 Correct 27 ms 26144 KB Output is correct
6 Correct 29 ms 26224 KB Output is correct
7 Correct 28 ms 26228 KB Output is correct
8 Correct 1134 ms 27724 KB Output is correct
9 Correct 1088 ms 27796 KB Output is correct
10 Correct 1066 ms 28060 KB Output is correct
11 Correct 1082 ms 28752 KB Output is correct
12 Correct 1053 ms 27684 KB Output is correct
13 Correct 1058 ms 27904 KB Output is correct
14 Correct 1072 ms 28100 KB Output is correct
15 Correct 1117 ms 27916 KB Output is correct
16 Correct 1061 ms 28244 KB Output is correct
17 Correct 1059 ms 27844 KB Output is correct
18 Correct 1092 ms 27920 KB Output is correct
19 Correct 1080 ms 28104 KB Output is correct
20 Correct 1068 ms 28052 KB Output is correct
21 Correct 1044 ms 28376 KB Output is correct
22 Correct 1071 ms 27896 KB Output is correct
23 Correct 1079 ms 27720 KB Output is correct
24 Correct 1067 ms 28004 KB Output is correct
25 Correct 1066 ms 27780 KB Output is correct
26 Correct 1077 ms 27844 KB Output is correct
27 Correct 1544 ms 51332 KB Output is correct
28 Correct 1542 ms 58232 KB Output is correct
29 Correct 1452 ms 58116 KB Output is correct
30 Correct 1559 ms 58512 KB Output is correct
31 Correct 1579 ms 58344 KB Output is correct
32 Correct 1398 ms 56840 KB Output is correct
33 Correct 1339 ms 56756 KB Output is correct
34 Correct 1256 ms 56716 KB Output is correct
35 Correct 1239 ms 56992 KB Output is correct
36 Correct 1238 ms 56800 KB Output is correct
37 Correct 1250 ms 56932 KB Output is correct
38 Correct 1794 ms 132492 KB Output is correct
39 Correct 1909 ms 154956 KB Output is correct
40 Correct 1676 ms 108920 KB Output is correct
41 Correct 2194 ms 148624 KB Output is correct
42 Correct 1417 ms 58020 KB Output is correct
43 Correct 1343 ms 58148 KB Output is correct
44 Correct 1643 ms 83792 KB Output is correct
45 Correct 1679 ms 83704 KB Output is correct
46 Correct 1648 ms 83916 KB Output is correct
47 Correct 1327 ms 58320 KB Output is correct
48 Correct 1350 ms 57704 KB Output is correct
49 Correct 1579 ms 83544 KB Output is correct
50 Correct 1623 ms 83764 KB Output is correct
51 Correct 1636 ms 84092 KB Output is correct
52 Correct 1947 ms 82372 KB Output is correct
53 Correct 2434 ms 106764 KB Output is correct
54 Execution timed out 3082 ms 130604 KB Time limit exceeded
55 Halted 0 ms 0 KB -