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답안 #1048712

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1048712 2024-08-08T09:12:55 Z ksun69(#11093) Light Bulbs (EGOI24_lightbulbs) C++17
87.4783 / 100
 42 ms 1004 KB 
#include <bits/stdc++.h>
using namespace std;

// C. Light Bulbs
// Problem Name lightbulbs
// Time Limit 4 seconds
// Memory Limit 1 gigabyte
// Shortly after founding his lightbulb company in Eindhoven in 1891, Frederik Philips made a great
// discovery: lightbulbs that light up an infinite ray in the horizontal or vertical direction. With this
// new discovery, he wants to revolutionize the interior design of modern homes.
// He plans an elaborate installation with his son, Gerard. They install N lamps in an N × N grid in
// a room. They want to light up the whole room with as few lamps turned on as possible to save
// electricity. Each lamp is either vertical, meaning it lights up all squares in its column, or horizontal,
// meaning it lights up all squares in its row.
// The illustration below shows an example of a vertical (left) and a horizontal (right) lamp.
// Unfortunately, they did not pay attention when installing the lamps and do not remember which
// lamps light up horizontally or vertically. Instead, they conduct some experiments to figure out
// which lamps to use to light up the whole room. Gerard stays in the room with the lamps, while
// Frederik operates the switches from another room.
// In each experiment, Frederik turns each lamp on or off and Gerard reports how many squares are
// lit up in total; a square that is lit up by two or more separate lamps is only counted once. It does
// not matter how many lamps are turned on during the experiments, but they are in a rush and
// ideally want to conduct as few experiments as possible.
// 2
// lightbulbs (1 of 5) 
// Help them find an arrangement of lamps that lights up the whole room and uses the fewest lamps.
// They can conduct at most 2 000 experiments. However, you will get a higher score if they use fewer
// experiments.
// Interaction
// This is an interactive problem.
// Your program should start by reading a line with an integer N, the height and width of the
// grid.
// Then, your program should interact with the grader. To conduct an experiment, you should
// first print a line with a question mark “?”. On the next N lines, output an N × N grid
// specifying which lamps are lit. Specifically, on each of these lines, output a string of length
// N, consisting of 0's (turned off) and 1's (turned on). Then, your program should read a single
// integer ℓ (0 ≤ ℓ ≤ N ), the number of grid squares lit up by turning on the lamps specified.
// When you want to answer, print a line with an exclamation mark “!”, followed by N lines
// with the grid in the same format as above. In order for your answer to be accepted, the
// lamps must light up the whole grid and the number of turned-on lamps must be the
// fewest possible.
// After this, your program should exit.
// The grader is non-adaptive, meaning that the grid of lamps is determined before the interaction
// begins.
// Make sure to flush standard output after issuing each experiment; otherwise, your program might
// get judged as “Time Limit Exceeded”. In Python, this happens automatically as long as you use
// input() to read lines. In C++, cout << endl; flushes in addition to printing a newline; if using
// printf, use fflush(stdout).
// Constraints and Scoring
// 3 ≤ N ≤ 100.
// You can issue at most 2 000 experiments (printing the final answer does not count as an
// experiment). If you exceed this, you will get the verdict “Wrong Answer”.
// Your solution will be tested on a set of test groups, each worth a number of points. Each test group
// contains a set of test cases. To get the points for a test group, you need to solve all test cases in the
// test group.

namespace std {

template<class Fun>
class y_combinator_result {
	Fun fun_;
public:
	template<class T>
	explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

	template<class ...Args>
	decltype(auto) operator()(Args &&...args) {
		return fun_(std::ref(*this), std::forward<Args>(args)...);
	}
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
	return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

} // namespace std

int main(){
	ios_base::sync_with_stdio(false), cin.tie(nullptr);
	int N;
	cin >> N;
	auto ask = [&](vector<vector<int>> grid){
		cout << "?" << '\n';
		for(int i = 0; i < N; i++){
			for(int j = 0; j < N; j++) cout << grid[i][j];
			cout << '\n';
		}
		cout << flush;
		int ans;
		cin >> ans;
		return ans;
	};

	auto answer = [&](vector<pair<int, int>> ans){
		vector<vector<int>> grid(N, vector<int>(N, 0));
		for(auto [x, y] : ans){
			grid[x][y] = 1;
		}
		cout << "!" << '\n';
		for(int i = 0; i < N; i++){
			for(int j = 0; j < N; j++) cout << grid[i][j];
			cout << '\n';
		}
		cout << flush;
	};

	auto not_a = [&](int a){
		vector<int> y;
		for(int i = 0; i < N; i++) if(i != a) y.push_back(i);
		return y;
	};

	auto count_row = [&](int dir, int x, vector<int> y) -> int {
		assert(y.size() > 1);
		vector<vector<int>> grid(N, vector<int>(N, 0));
		int c = (int)y.size();
		for(int i : y){
			(dir ? grid[i][x] : grid[x][i]) = 1;
		}
		int v = ask(grid);
		if(v == c * N) return c;
		assert((v - N) % (N-1) == 0);
		return (v - N) / (N-1);
	};

	vector<int> id;
	for(int i = 0; i < N; i++) id.push_back(i);
	mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
	auto get_dir_init = [&](int x, int y){
		int val = count_row(0, x, id) - count_row(0, x, not_a(y));
		if(val == 1) return 'V';
		return 'H';
	};
	char dir_0 = get_dir_init(0, 0);
	auto get_dir_next = [&](int x, int y) -> char {
		vector<vector<int> > grid(N, vector<int>(N, 0));
		grid[0][0] = 1;
		grid[x][y] = 1;
		int val = ask(grid);
		if(val == N || val == 2*N) return dir_0;
		return dir_0 == 'V' ? 'H' : 'V';
	};
	vector<vector<int> > found_dir(2, vector<int>(N, -1));
	while(true){
		vector<int> done_x, done_y;
		for(int i = 0; i < N; i++) if(found_dir[0][i] != -1) done_x.push_back(i);
		for(int i = 0; i < N; i++) if(found_dir[1][i] != -1) done_y.push_back(i);
		vector<int> left_x, left_y;
		for(int i = 0; i < N; i++) if(found_dir[0][i] == -1) left_x.push_back(i);
		for(int i = 0; i < N; i++) if(found_dir[1][i] == -1) left_y.push_back(i);
		shuffle(left_x.begin(), left_x.end(), rng);
		shuffle(left_y.begin(), left_y.end(), rng);
		int cx = (int)done_x.size();
		int cy = (int)done_y.size();
		if(cx == N || cy == N) break;
		int higher_dir = (cx > cy ? 0 : 1);
		int x_left = N - cx;
		int y_left = N - cy;
		int L = max(cx, cy);
		if(L == 0){
			char dir = get_dir_next(left_x[0], left_y[0]);
			if(dir == 'H'){
				found_dir[0][left_x[0]] = left_y[0];
			} else {
				found_dir[1][left_y[0]] = left_x[0];
			}
			continue;
		}
		int d;
		int state = 0;
		if(x_left == 1){
			state = 1;
			d = y_left;
		} else if(y_left == 1){
			state = 2;
			d = x_left;
		} else {
			state = 0;
			d = min(L, min(x_left, y_left));
		}
		assert(d > 0);
		auto query = [&](vector<pair<int,int> > places) -> pair<int,int> {
			if(places.size() == 1) return get_dir_next(places[0].first, places[0].second) == 'H' ? make_pair(1, 0) : make_pair(0, 1);
			int f = (int)places.size();
			vector<vector<int> > grid(N, vector<int>(N, 0));
			for(auto [x, y] : places) grid[x][y] = 1;
			if(state == 0){
				if(higher_dir == 0){
					for(int x : done_x) grid[x][found_dir[0][x]] = 1;
				} else {
					for(int y : done_y) grid[found_dir[1][y]][y] = 1;
				}
			}
			int res = ask(grid);
			int sx = higher_dir == 0 ? cx : 0;
			int sy = higher_dir == 1 ? cy : 0;
			for(int v = 0; v <= f; v++){
				int nx, ny;
				if(state == 0){
					nx = sx + v;
					ny = sy + (f - v);
				} else if(state == 1){
					nx = int(v > 0);
					ny = (f - v);
				} else if(state == 2){
					nx = v;
					ny = int((f-v) > 0);
				} else assert(false);
				int val = N*N - (N - nx) * (N - ny);
				if(val == res) return {v, f-v};
			}
			assert(false);
		};
		vector<pair<int,int> > places_init;
		if(state == 0){
			for(int i = 0; i < d; i++){
				places_init.push_back({left_x[i], left_y[i]});
			}
		} else if(state == 1){
			for(int i = 0; i < d; i++){
				places_init.push_back({left_x[0], left_y[i]});
			}
		} else if(state == 2){
			for(int i = 0; i < d; i++){
				places_init.push_back({left_x[i], left_y[0]});
			}
		}
		bool done = false;
		y_combinator(
			[&](auto self, vector<pair<int,int> > places, pair<int,int> res) -> void {
				if(done) return;
				if(res.second == 0){
					for(auto [x, y] : places){
						found_dir[0][x] = y;
					}
					if(state == 1) done = true;
					return;
				}
				if(res.first == 0){
					for(auto [x, y] : places){
						found_dir[1][y] = x;
					}
					if(state == 2) done = true;
					return;
				}
				int m = (int)places.size() / 2;
				vector<pair<int,int> > places_l(places.begin(), places.begin() + m);
				vector<pair<int,int> > places_r(places.begin() + m, places.end());
				pair<int,int> res_l = query(places_l);
				pair<int,int> res_r = {res.first - res_l.first, res.second - res_l.second};
				self(places_l, res_l);
				self(places_r, res_r);
			}
		)(places_init, query(places_init));
	}
	vector<int> done_x, done_y;
	for(int i = 0; i < N; i++) if(found_dir[0][i] != -1) done_x.push_back(i);
	for(int i = 0; i < N; i++) if(found_dir[1][i] != -1) done_y.push_back(i);
	int cx = (int)done_x.size();
	int cy = (int)done_y.size();
	vector<pair<int, int>> ans;
	if(cx == N){
		for(int i = 0; i < N; i++){
			if(found_dir[0][i] != -1) ans.push_back({i, found_dir[0][i]});
		}
	} else if(cy == N){
		for(int i = 0; i < N; i++){
			if(found_dir[1][i] != -1) ans.push_back({found_dir[1][i], i});
		}
	} else assert(false);
	answer(ans);
}

// python3 testing_tool.py ./C < sample1.in

Subtask #1
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct

Subtask #2
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 344 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 0 ms 344 KB Output is correct
46 Correct 0 ms 344 KB Output is correct
47 Correct 0 ms 344 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 0 ms 344 KB Output is correct
51 Correct 0 ms 344 KB Output is correct
52 Correct 0 ms 344 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 0 ms 344 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 0 ms 344 KB Output is correct
58 Correct 0 ms 344 KB Output is correct
59 Correct 0 ms 344 KB Output is correct

Subtask #3
65.4782608696 / 78.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 596 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 0 ms 344 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 0 ms 344 KB Output is correct
46 Correct 0 ms 344 KB Output is correct
47 Correct 0 ms 344 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 0 ms 344 KB Output is correct
51 Correct 0 ms 344 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 0 ms 344 KB Output is correct
54 Correct 0 ms 344 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 0 ms 344 KB Output is correct
58 Correct 0 ms 344 KB Output is correct
59 Correct 3 ms 344 KB Output is correct
60 Correct 3 ms 344 KB Output is correct
61 Correct 9 ms 548 KB Output is correct
62 Correct 15 ms 548 KB Output is correct
63 Correct 19 ms 556 KB Output is correct
64 Partially correct 30 ms 552 KB Partially correct
65 Partially correct 32 ms 556 KB Partially correct
66 Partially correct 42 ms 560 KB Partially correct
67 Partially correct 34 ms 548 KB Partially correct
68 Partially correct 37 ms 556 KB Partially correct
69 Correct 19 ms 552 KB Output is correct
70 Correct 15 ms 544 KB Output is correct
71 Correct 9 ms 552 KB Output is correct
72 Correct 5 ms 548 KB Output is correct
73 Correct 4 ms 552 KB Output is correct
74 Correct 7 ms 552 KB Output is correct
75 Correct 4 ms 548 KB Output is correct
76 Correct 5 ms 552 KB Output is correct
77 Correct 6 ms 552 KB Output is correct
78 Correct 16 ms 1004 KB Output is correct
79 Correct 16 ms 556 KB Output is correct
80 Correct 7 ms 548 KB Output is correct
81 Partially correct 35 ms 548 KB Partially correct
82 Partially correct 32 ms 544 KB Partially correct
83 Partially correct 33 ms 556 KB Partially correct
84 Partially correct 33 ms 556 KB Partially correct
85 Partially correct 41 ms 776 KB Partially correct
86 Correct 5 ms 552 KB Output is correct
87 Correct 5 ms 552 KB Output is correct
88 Correct 3 ms 344 KB Output is correct
89 Correct 4 ms 548 KB Output is correct
90 Correct 8 ms 556 KB Output is correct
91 Correct 4 ms 556 KB Output is correct
92 Partially correct 32 ms 548 KB Partially correct
93 Partially correct 32 ms 552 KB Partially correct
94 Partially correct 34 ms 556 KB Partially correct
95 Partially correct 35 ms 548 KB Partially correct
96 Partially correct 38 ms 548 KB Partially correct
97 Correct 0 ms 344 KB Output is correct