oj.uz

Submission #757988

# Submission time Handle Problem Language Result Execution time Memory
757988 2023-06-14T04:10:42 Z ProtonDecay314 Towers (NOI22_towers) C++17
23 / 100
 2000 ms 131796 KB 
/*
Time complexity: O(N^2 2^N) general case (which should pass 1-2)

Subtask 3
This is a rectangle (wow)
So what it looks like is this:

T---T
-T-T-
--T--
-----
--T--
-T-T-
T---T

T--T
-TT-
----
----
-TT-
T--T

We just have to construct this, essentially

Subtask 4
For this one, we go through every x-coordinate and get the 
smallest Y and largest Y
Well, we can probably sort the values by Y
and then I can keep a set of encountered Xs
// ! Warning: the set may increase the constant factor
if an X has been encountered, then don't bother with it anymore

Now do the same, but going in reverse order of Y
*/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

vector<bool> solve16(ll n, const vector<tuple<ll, ll>>& pos) {
    vector<ll> xs;
    vector<ll> ys;
    for(const tuple<ll, ll>& tup : pos) {
        ll x, y;
        tie(x, y) = tup;
        xs.push_back(x);
        ys.push_back(y);
    }

    
    for(ll i = 0; i < (1 << n); i++) {
        vector<bool> third_satisfied(n, false);

        ll has_bad_x_coords = false;
        for(ll targx : xs) {
            /*
            TODO count the number of towers with this x
            mark the ones in the middle as "satisfied"
            */

            ll count_towers = 0ll;
            ll min_tower_y = numeric_limits<ll>::max();
            ll max_tower_y = numeric_limits<ll>::min();
            for(ll j = 0ll; j < n; j++) {
                ll x, y;
                tie(x, y) = pos[j];
                if(x == targx) {
                    if((i >> j) & 1) {
                        count_towers++;
                        third_satisfied[j] = true;
                        min_tower_y = min(min_tower_y, y);
                        max_tower_y = max(max_tower_y, y);
                    }
                }
            }
            if(count_towers > 2ll) {
                has_bad_x_coords = true;
                break;
            }

            for(ll j = 0ll; j < n; j++) {
                ll x, y;
                tie(x, y) = pos[j];
                if(x == targx) {
                    if(min_tower_y <= y && y <= max_tower_y) {
                        third_satisfied[j] = true;
                    }
                }
            }
        }
        if(has_bad_x_coords) continue;

        ll has_bad_y_coords = false;
        for(ll targy : ys) {
            /*
            TODO count the number of towers with this y
            mark the ones in the middle as "satisfied"
            */

            ll count_towers = 0ll;
            ll min_tower_x = numeric_limits<ll>::max();
            ll max_tower_x = numeric_limits<ll>::min();
            for(ll j = 0ll; j < n; j++) {
                ll x, y;
                tie(x, y) = pos[j];
                if(y == targy) {
                    if((i >> j) & 1) {
                        count_towers++;
                        third_satisfied[j] = true;
                        min_tower_x = min(min_tower_x, x);
                        max_tower_x = max(max_tower_x, x);
                    }
                }
            }
            if(count_towers > 2ll) {
                has_bad_y_coords = true;
                break;
            }

            for(ll j = 0ll; j < n; j++) {
                ll x, y;
                tie(x, y) = pos[j];
                if(y == targy) {
                    if(min_tower_x <= x && x <= max_tower_x) {
                        third_satisfied[j] = true;
                    }
                }
            }
        }
        if(has_bad_y_coords) continue;

        if(all_of(third_satisfied.begin(), third_satisfied.end(), [](bool v) {return v;})) {
            vector<bool> ans;
            for(ll j = 0ll; j < n; j++) {
                ans.push_back((i >> j) & 1);
            }
            return ans;
        }
    }

    return *(new vector<bool>());
}

vector<bool> solve_subtask_3(ll b, ll a) {
    vector<bool> ans;

    for(ll i = 0ll; i < b; i++) {
        for(ll j = 0ll; j < a; j++) {
            ll ni = (i >= (b >> 1) ? b - i - 1ll : i);
            ll nj = (j >= (a >> 1) ? a - j - 1ll : j);
            ans.push_back(ni == nj);
        }
    }

    return ans;
}

void print_bool_vec(const vector<bool>& vec) {
    for(bool v : vec) {
        cout << v;
    }
    cout << endl;
}

int main() {
    ll n;
    cin >> n;

    vector<tuple<ll, ll>> pos;
    for(ll i = 0ll; i < n; i++) {
        ll x, y;
        cin >> x >> y;
        pos.push_back({x, y});
    }

    if(n <= 16) {
        vector<bool> ans = solve16(n, pos);
        print_bool_vec(ans);
    } else {
        // Assume subtask 3
        ll b, a;
        tie(b, a) = pos[n - 1];

        vector<bool> ans = solve_subtask_3(b, a);
        print_bool_vec(ans);
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 54 ms 212 KB Output is correct
12 Correct 14 ms 212 KB Output is correct
13 Correct 60 ms 276 KB Output is correct
14 Correct 36 ms 212 KB Output is correct
15 Correct 39 ms 276 KB Output is correct
16 Correct 12 ms 292 KB Output is correct
17 Correct 27 ms 212 KB Output is correct
18 Correct 35 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 35 ms 276 KB Output is correct
21 Correct 8 ms 212 KB Output is correct
22 Correct 11 ms 296 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 28 ms 212 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 2384 KB Output is correct
2 Correct 46 ms 2504 KB Output is correct
3 Correct 141 ms 8520 KB Output is correct
4 Correct 304 ms 16720 KB Output is correct
5 Correct 49 ms 2492 KB Output is correct
6 Correct 10 ms 848 KB Output is correct
7 Correct 270 ms 16804 KB Output is correct
8 Correct 174 ms 8628 KB Output is correct
9 Correct 409 ms 16764 KB Output is correct
10 Correct 341 ms 16828 KB Output is correct
11 Correct 420 ms 17164 KB Output is correct
12 Correct 422 ms 17204 KB Output is correct

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2078 ms 81780 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 54 ms 212 KB Output is correct
12 Correct 14 ms 212 KB Output is correct
13 Correct 60 ms 276 KB Output is correct
14 Correct 36 ms 212 KB Output is correct
15 Correct 39 ms 276 KB Output is correct
16 Correct 12 ms 292 KB Output is correct
17 Correct 27 ms 212 KB Output is correct
18 Correct 35 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 35 ms 276 KB Output is correct
21 Correct 8 ms 212 KB Output is correct
22 Correct 11 ms 296 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 28 ms 212 KB Output is correct
26 Execution timed out 2061 ms 131796 KB Time limit exceeded
27 Halted 0 ms 0 KB -

Subtask #6
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 54 ms 212 KB Output is correct
12 Correct 14 ms 212 KB Output is correct
13 Correct 60 ms 276 KB Output is correct
14 Correct 36 ms 212 KB Output is correct
15 Correct 39 ms 276 KB Output is correct
16 Correct 12 ms 292 KB Output is correct
17 Correct 27 ms 212 KB Output is correct
18 Correct 35 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 35 ms 276 KB Output is correct
21 Correct 8 ms 212 KB Output is correct
22 Correct 11 ms 296 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 28 ms 212 KB Output is correct
26 Execution timed out 2061 ms 131796 KB Time limit exceeded
27 Halted 0 ms 0 KB -

Subtask #7
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 54 ms 212 KB Output is correct
12 Correct 14 ms 212 KB Output is correct
13 Correct 60 ms 276 KB Output is correct
14 Correct 36 ms 212 KB Output is correct
15 Correct 39 ms 276 KB Output is correct
16 Correct 12 ms 292 KB Output is correct
17 Correct 27 ms 212 KB Output is correct
18 Correct 35 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 35 ms 276 KB Output is correct
21 Correct 8 ms 212 KB Output is correct
22 Correct 11 ms 296 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 28 ms 212 KB Output is correct
26 Correct 39 ms 2384 KB Output is correct
27 Correct 46 ms 2504 KB Output is correct
28 Correct 141 ms 8520 KB Output is correct
29 Correct 304 ms 16720 KB Output is correct
30 Correct 49 ms 2492 KB Output is correct
31 Correct 10 ms 848 KB Output is correct
32 Correct 270 ms 16804 KB Output is correct
33 Correct 174 ms 8628 KB Output is correct
34 Correct 409 ms 16764 KB Output is correct
35 Correct 341 ms 16828 KB Output is correct
36 Correct 420 ms 17164 KB Output is correct
37 Correct 422 ms 17204 KB Output is correct
38 Execution timed out 2078 ms 81780 KB Time limit exceeded
39 Halted 0 ms 0 KB -