oj.uz

Submission #757976

# Submission time Handle Problem Language Result Execution time Memory
757976 2023-06-14T03:41:10 Z ProtonDecay314 Towers (NOI22_towers) C++17
16 / 100
 539 ms 16884 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

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;
        }
    }


}

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);
        for(bool v : ans) {
            cout << v;
        }
        cout << endl;
    }
    return 0;
}

Compilation message

Main.cpp: In function 'std::vector<bool> solve16(ll, const std::vector<std::tuple<long long int, long long int> >&)':
Main.cpp:33:16: warning: control reaches end of non-void function [-Wreturn-type]
   33 |     vector<ll> xs;
      |                ^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 0 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 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 0 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 15 ms 212 KB Output is correct
13 Correct 63 ms 272 KB Output is correct
14 Correct 42 ms 284 KB Output is correct
15 Correct 41 ms 276 KB Output is correct
16 Correct 13 ms 212 KB Output is correct
17 Correct 28 ms 212 KB Output is correct
18 Correct 36 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 30 ms 272 KB Output is correct
21 Correct 7 ms 212 KB Output is correct
22 Correct 11 ms 300 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 30 ms 212 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Incorrect 37 ms 2380 KB Unexpected end of file - token expected
2 Halted 0 ms 0 KB -

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Incorrect 539 ms 16884 KB Unexpected end of file - token expected
2 Halted 0 ms 0 KB -

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 0 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 15 ms 212 KB Output is correct
13 Correct 63 ms 272 KB Output is correct
14 Correct 42 ms 284 KB Output is correct
15 Correct 41 ms 276 KB Output is correct
16 Correct 13 ms 212 KB Output is correct
17 Correct 28 ms 212 KB Output is correct
18 Correct 36 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 30 ms 272 KB Output is correct
21 Correct 7 ms 212 KB Output is correct
22 Correct 11 ms 300 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 30 ms 212 KB Output is correct
26 Incorrect 3 ms 468 KB Unexpected end of file - token expected
27 Halted 0 ms 0 KB -

Subtask #6
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 0 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 15 ms 212 KB Output is correct
13 Correct 63 ms 272 KB Output is correct
14 Correct 42 ms 284 KB Output is correct
15 Correct 41 ms 276 KB Output is correct
16 Correct 13 ms 212 KB Output is correct
17 Correct 28 ms 212 KB Output is correct
18 Correct 36 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 30 ms 272 KB Output is correct
21 Correct 7 ms 212 KB Output is correct
22 Correct 11 ms 300 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 30 ms 212 KB Output is correct
26 Incorrect 3 ms 468 KB Unexpected end of file - token expected
27 Halted 0 ms 0 KB -

Subtask #7
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 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 0 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 15 ms 212 KB Output is correct
13 Correct 63 ms 272 KB Output is correct
14 Correct 42 ms 284 KB Output is correct
15 Correct 41 ms 276 KB Output is correct
16 Correct 13 ms 212 KB Output is correct
17 Correct 28 ms 212 KB Output is correct
18 Correct 36 ms 212 KB Output is correct
19 Correct 13 ms 212 KB Output is correct
20 Correct 30 ms 272 KB Output is correct
21 Correct 7 ms 212 KB Output is correct
22 Correct 11 ms 300 KB Output is correct
23 Correct 11 ms 212 KB Output is correct
24 Correct 8 ms 212 KB Output is correct
25 Correct 30 ms 212 KB Output is correct
26 Incorrect 37 ms 2380 KB Unexpected end of file - token expected
27 Halted 0 ms 0 KB -