Submission #588506

# Submission time Handle Problem Language Result Execution time Memory
588506 2022-07-03T12:19:08 Z Joshc Mars (APIO22_mars) C++17
100 / 100
1328 ms 4788 KB
#include "mars.h"
#include <bits/stdc++.h>
using namespace std;
 
#define pii pair<int, int>
#define mp make_pair
#define f first
#define s second
 
const int OFFSET = 1e6;
 
/*
00 = nothing
01 = left bracket
10 = rightbracket
11 = underscore
*/
 
string tobracket(int n, vector<vector<int>> comp) {
	// Given a list of components, generate the bracket sequence
	string res(100, '0');
	for (vector<int>& v : comp) {
		if (v.size() == 1) continue;
		res[2*v[0]+1] = '1';
		res[2*v.back()] = '1';
		for (int i=1; i+1<v.size(); i++) res[2*v[i]] = res[2*v[i]+1] = '1'; 
	}
	return res;
}
 
vector<vector<int>> tocomp(int n, string s) {
	// Given a bracket sequence, return the list of components
	vector<vector<int>> res, stack;
	for (int i=0; i<n; i++) {
		if (s[i*2] == '0' && s[i*2+1] == '0') res.push_back({i});
		else if (s[i*2] == '0' && s[i*2+1] == '1') stack.push_back({i});
		else if (s[i*2] == '1' && s[i*2+1] == '0') {
			stack.back().push_back(i);
			res.push_back(stack.back());
			stack.pop_back();
		} else stack.back().push_back(i);
	}
	return res;
}
 
vector<int> getblocks(string frontier) {
	// split the current frontier into blocks
	vector<int> res(frontier.size(), -1);
	int cur = -1;
	for (int i=0; i<frontier.size(); i++) {
		if (frontier[i] == '1') {
			if (!i || frontier[i-1] == '0') cur++;
			res[i] = cur;
		}
	}
	return res;
}
 
struct dsu {
	unordered_map<int, int> parent, sz;
	int comps = 0;
 
	int root(int x) {
		if (parent.find(x) == parent.end()) {
			sz[x] = 1;
			comps++;
			return parent[x] = x;
		}
		return x == parent[x] ? x : parent[x] = root(parent[x]);
	}
 
	void join(int x, int y) {
		//printf("Join %d %d\n", x, y);
		x = root(x);
		y = root(y);
		if (x == y) return;
		comps--;
		if (sz[x] > sz[y]) swap(x, y);
		parent[x] = y;
		sz[y] += sz[x];
	}
 
	vector<vector<int>> getcomps() {
		vector<vector<int>> res;
		unordered_map<int, vector<int>> x;
		for (pii p : parent) x[root(p.f)].push_back(p.f);
		for (auto p : x) res.push_back(p.s);
		return res;
	}
};
 
vector<int> reduce(vector<int> v) {
	sort(v.begin(), v.end());
	v.resize(unique(v.begin(), v.end())-v.begin());
	return v;
}
 
string process(vector<vector<string>> a, int i, int j, int k, int n) {
	//printf("Process %d %d %d\n", i, j, k);
	string res(100, '0');
	if (i%2 == 0 && i && i >= j+1) {
		if (k == 0) {
			res[0] = a[0][0][0];
			res[1] = a[0][1][0];
			res[2] = a[1][0][0];
			res[3] = a[1][1][0];
			res[4] = a[2][0][0];
			res[5] = a[2][1][0];
		} else {
			for (int i=0; i<96; i++) res[i+4] = a[2][0][i];
			res[0] = a[0][0][0];
			res[1] = a[0][1][0];
			res[2] = a[1][0][0];
			res[3] = a[1][1][0];
		}
		return res;
	}
	if (j%2 == 0 && j && j >= i+1) {
		if (k == 0) {
			res[0] = a[0][0][0];
			res[1] = a[1][0][0];
			res[2] = a[0][1][0];
			res[3] = a[1][1][0];
			res[4] = a[0][2][0];
			res[5] = a[1][2][0];
		} else {
			for (int i=0; i<96; i++) res[i+4] = a[0][2][i];
			res[0] = a[0][0][0];
			res[1] = a[1][0][0];
			res[2] = a[0][1][0];
			res[3] = a[1][1][0];
		}
		return res;
	}
	if (i == 2*(n-k-1) && i == j) {
		if (k == 0) {
			string frontier;
			frontier += a[2][0][0];
			frontier += a[1][0][0];
			frontier += a[0][0][0];
			frontier += a[0][1][0];
			frontier += a[0][2][0];
			vector<int> blocks = getblocks(frontier);
			int x = *max_element(blocks.begin(), blocks.end())+1;
			/*printf("Blocks: ");
			for (int i : blocks) printf("%d ", i);
			printf("\n");*/
			unordered_map<int, int> pos = {{6, 0}, {3, 1}, {0, 2}, {1, 3}, {2, 4}};
			dsu d;
 
			for (int i=0; i<3; i++) {
				for (int j=0; j<3; j++) {
					if (a[i][j][0] == '1') d.root(i*3+j); // make sure node is considered
					if (i != 2 && a[i][j][0] == '1' && a[i+1][j][0] == '1') d.join(i*3+j, (i+1)*3+j);
					if (j != 2 && a[i][j][0] == '1' && a[i][j+1][0] == '1') d.join(i*3+j, i*3+j+1);
				}
			}
 
			vector<vector<int>> comps;
			for (vector<int>& comp : d.getcomps()) {
				vector<int> cur;
				//printf("Comp: ");
				for (int i : comp) {
					//printf("%d ", i);
					if (pos.find(i) != pos.end()) cur.push_back(blocks[pos[i]]);
				}
				//printf("\n");
				if (cur.empty()) continue;
				comps.push_back(reduce(cur));
			}
 
			/*for (auto i : comps) {
				for (int j : i) printf("%d ", j);
				printf("\n");
			}*/
		
			if (n == 1) {
				for (int i=0; i<10; i++) {
					if (d.comps&(1<<i)) res[i] = '1';
				}
				return res;
			}
 
			res = tobracket(x, comps);
			for (int i=0; i<10; i++) {
				if (d.comps&(1<<i)) res[i+90] = '1';
			}
 
			//cout << res << "\n";
			return res;
		}
 
 
		// for convenience, let's just fill in the entire bottom right square
		int sz = 2*n+1-i;
 
		vector<string> grid(sz, string(sz, '0'));
		grid[0][0] = a[0][0][0];
		grid[0][1] = a[0][1][0];
		grid[1][0] = a[1][0][0];
		grid[1][1] = a[1][1][0];
 
		for (int i=0; i<sz-2; i++) {
			grid[i+2][0] = a[2][0][i*2];
			grid[i+2][1] = a[2][0][i*2+1];
			grid[i+2][2] = a[2][1][i*2+1];
			grid[0][i+2] = a[0][2][i*2];
			grid[1][i+2] = a[0][2][i*2+1];
			grid[2][i+2] = a[1][2][i*2+1];
		}
 
		/*for (int i=0; i<sz; i++) {
			for (int j=0; j<sz; j++) cout << grid[i][j];
			cout << "\n";
		}*/
 
		dsu d;
		vector<int> order;
		
		for (int i=2; i<sz; i++) {
			if (grid[i][2] == '1') d.root(i*100+2);
			if (grid[2][i] == '1') d.root(200+i);
		}
 
		string inner; // store the inner frontier
		for (int i=sz-1; i>1; i--) {
			inner += grid[i][2];
			order.push_back(i*100+2);
		}
		for (int i=3; i<sz; i++) {
			inner += grid[2][i];
			order.push_back(200+i);
		}
 
		for (int i=1; i<inner.size(); i++) {
			if (inner[i-1] == '1' && inner[i] == '1') d.join(order[i-1], order[i]);
		}
		
		vector<int> innerblocks = getblocks(inner);
		unordered_map<int, int> m;
		for (int i=0; i<innerblocks.size(); i++) m[innerblocks[i]] = order[i];
 
		/*cout << inner << "\n";
		for (int i : innerblocks) printf("%d ", i);
		printf("\n");*/
 
		int x = *max_element(innerblocks.begin(), innerblocks.end())+1;
		vector<vector<int>> innercomps = tocomp(x, a[2][2]);
		for (vector<int>& comp : innercomps) {
			// printf("Comp: ");
			// for (int i : comp) printf("%d ", i);
			// printf("\n");
			for (int i : comp) d.join(m[comp[0]], m[i]);
		}
		
		d.comps = 0;
		for (int i=0; i<10; i++) {
			if (a[2][2][90+i] == '1') d.comps |= 1<<i;
		}
 
		for (int i=0; i<sz; i++) {
			for (int j=0; j<sz; j++) {
				if (grid[i][j] == '1') d.root(i*100+j);
			}
		}
 
		for (int i=0; i<sz; i++) {
			for (int j=0; j<sz; j++) {
				if (i+1 != sz && grid[i][j] == '1' && grid[i+1][j] == '1') d.join(i*100+j, (i+1)*100+j);
				if (j+1 != sz && grid[i][j] == '1' && grid[i][j+1] == '1') d.join(i*100+j, i*100+j+1);
			}
		}
		
		order.clear();
		string outer;
		unordered_map<int, int> pos;
		for (int i=sz-1; i>=0; i--) {
			pos[i*100] = outer.size();
			outer += grid[i][0];
		}
		for (int i=1; i<sz; i++) {
			pos[i] = outer.size();
			outer += grid[0][i];
		}
 
		vector<int> blocks = getblocks(outer);
 
		vector<vector<int>> comps;
		for (vector<int>& comp : d.getcomps()) {
			vector<int> cur;
			for (int i : comp) {
				if (pos.find(i) != pos.end()) cur.push_back(blocks[pos[i]]);
			}
			if (cur.empty()) continue;
			comps.push_back(reduce(cur));
		}
 
		if (k == n-1) {
			for (int i=0; i<10; i++) {
				if (d.comps&(1<<i)) res[i] = '1';
			}
			return res;
		}
		res = tobracket(x, comps);
		for (int i=0; i<10; i++) {
			if (d.comps&(1<<i)) res[i+90] = '1';
		}
		return res;
 
	}
	return a[0][0];
}

Compilation message

mars.cpp: In function 'std::string tobracket(int, std::vector<std::vector<int> >)':
mars.cpp:26:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |   for (int i=1; i+1<v.size(); i++) res[2*v[i]] = res[2*v[i]+1] = '1';
      |                 ~~~^~~~~~~~~
mars.cpp: In function 'std::vector<int> getblocks(std::string)':
mars.cpp:50:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |  for (int i=0; i<frontier.size(); i++) {
      |                ~^~~~~~~~~~~~~~~~
mars.cpp: In function 'std::string process(std::vector<std::vector<std::__cxx11::basic_string<char> > >, int, int, int, int)':
mars.cpp:235:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  235 |   for (int i=1; i<inner.size(); i++) {
      |                 ~^~~~~~~~~~~~~
mars.cpp:241:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  241 |   for (int i=0; i<innerblocks.size(); i++) m[innerblocks[i]] = order[i];
      |                 ~^~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
29 Correct 123 ms 2768 KB Output is correct
30 Correct 179 ms 2984 KB Output is correct
31 Correct 163 ms 2904 KB Output is correct
32 Correct 164 ms 2872 KB Output is correct
33 Correct 167 ms 2920 KB Output is correct
34 Correct 159 ms 2868 KB Output is correct
35 Correct 173 ms 2848 KB Output is correct
36 Correct 163 ms 2836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
29 Correct 123 ms 2768 KB Output is correct
30 Correct 179 ms 2984 KB Output is correct
31 Correct 163 ms 2904 KB Output is correct
32 Correct 164 ms 2872 KB Output is correct
33 Correct 167 ms 2920 KB Output is correct
34 Correct 159 ms 2868 KB Output is correct
35 Correct 173 ms 2848 KB Output is correct
36 Correct 163 ms 2836 KB Output is correct
37 Correct 230 ms 3260 KB Output is correct
38 Correct 271 ms 3272 KB Output is correct
39 Correct 295 ms 3408 KB Output is correct
40 Correct 271 ms 3228 KB Output is correct
41 Correct 292 ms 3352 KB Output is correct
42 Correct 276 ms 3236 KB Output is correct
43 Correct 281 ms 3280 KB Output is correct
44 Correct 283 ms 3240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
29 Correct 123 ms 2768 KB Output is correct
30 Correct 179 ms 2984 KB Output is correct
31 Correct 163 ms 2904 KB Output is correct
32 Correct 164 ms 2872 KB Output is correct
33 Correct 167 ms 2920 KB Output is correct
34 Correct 159 ms 2868 KB Output is correct
35 Correct 173 ms 2848 KB Output is correct
36 Correct 163 ms 2836 KB Output is correct
37 Correct 230 ms 3260 KB Output is correct
38 Correct 271 ms 3272 KB Output is correct
39 Correct 295 ms 3408 KB Output is correct
40 Correct 271 ms 3228 KB Output is correct
41 Correct 292 ms 3352 KB Output is correct
42 Correct 276 ms 3236 KB Output is correct
43 Correct 281 ms 3280 KB Output is correct
44 Correct 283 ms 3240 KB Output is correct
45 Correct 346 ms 3400 KB Output is correct
46 Correct 448 ms 3476 KB Output is correct
47 Correct 451 ms 3404 KB Output is correct
48 Correct 462 ms 3672 KB Output is correct
49 Correct 450 ms 3432 KB Output is correct
50 Correct 457 ms 3356 KB Output is correct
51 Correct 451 ms 3516 KB Output is correct
52 Correct 454 ms 3532 KB Output is correct
53 Correct 446 ms 3564 KB Output is correct
54 Correct 444 ms 3496 KB Output is correct
55 Correct 438 ms 3388 KB Output is correct
56 Correct 445 ms 3428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
29 Correct 123 ms 2768 KB Output is correct
30 Correct 179 ms 2984 KB Output is correct
31 Correct 163 ms 2904 KB Output is correct
32 Correct 164 ms 2872 KB Output is correct
33 Correct 167 ms 2920 KB Output is correct
34 Correct 159 ms 2868 KB Output is correct
35 Correct 173 ms 2848 KB Output is correct
36 Correct 163 ms 2836 KB Output is correct
37 Correct 230 ms 3260 KB Output is correct
38 Correct 271 ms 3272 KB Output is correct
39 Correct 295 ms 3408 KB Output is correct
40 Correct 271 ms 3228 KB Output is correct
41 Correct 292 ms 3352 KB Output is correct
42 Correct 276 ms 3236 KB Output is correct
43 Correct 281 ms 3280 KB Output is correct
44 Correct 283 ms 3240 KB Output is correct
45 Correct 346 ms 3400 KB Output is correct
46 Correct 448 ms 3476 KB Output is correct
47 Correct 451 ms 3404 KB Output is correct
48 Correct 462 ms 3672 KB Output is correct
49 Correct 450 ms 3432 KB Output is correct
50 Correct 457 ms 3356 KB Output is correct
51 Correct 451 ms 3516 KB Output is correct
52 Correct 454 ms 3532 KB Output is correct
53 Correct 446 ms 3564 KB Output is correct
54 Correct 444 ms 3496 KB Output is correct
55 Correct 438 ms 3388 KB Output is correct
56 Correct 445 ms 3428 KB Output is correct
57 Correct 548 ms 3912 KB Output is correct
58 Correct 670 ms 4120 KB Output is correct
59 Correct 656 ms 4060 KB Output is correct
60 Correct 660 ms 4004 KB Output is correct
61 Correct 672 ms 3924 KB Output is correct
62 Correct 663 ms 4044 KB Output is correct
63 Correct 659 ms 4072 KB Output is correct
64 Correct 670 ms 4004 KB Output is correct
65 Correct 690 ms 4188 KB Output is correct
66 Correct 677 ms 4144 KB Output is correct
67 Correct 682 ms 4020 KB Output is correct
68 Correct 651 ms 4040 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
29 Correct 123 ms 2768 KB Output is correct
30 Correct 179 ms 2984 KB Output is correct
31 Correct 163 ms 2904 KB Output is correct
32 Correct 164 ms 2872 KB Output is correct
33 Correct 167 ms 2920 KB Output is correct
34 Correct 159 ms 2868 KB Output is correct
35 Correct 173 ms 2848 KB Output is correct
36 Correct 163 ms 2836 KB Output is correct
37 Correct 230 ms 3260 KB Output is correct
38 Correct 271 ms 3272 KB Output is correct
39 Correct 295 ms 3408 KB Output is correct
40 Correct 271 ms 3228 KB Output is correct
41 Correct 292 ms 3352 KB Output is correct
42 Correct 276 ms 3236 KB Output is correct
43 Correct 281 ms 3280 KB Output is correct
44 Correct 283 ms 3240 KB Output is correct
45 Correct 346 ms 3400 KB Output is correct
46 Correct 448 ms 3476 KB Output is correct
47 Correct 451 ms 3404 KB Output is correct
48 Correct 462 ms 3672 KB Output is correct
49 Correct 450 ms 3432 KB Output is correct
50 Correct 457 ms 3356 KB Output is correct
51 Correct 451 ms 3516 KB Output is correct
52 Correct 454 ms 3532 KB Output is correct
53 Correct 446 ms 3564 KB Output is correct
54 Correct 444 ms 3496 KB Output is correct
55 Correct 438 ms 3388 KB Output is correct
56 Correct 445 ms 3428 KB Output is correct
57 Correct 548 ms 3912 KB Output is correct
58 Correct 670 ms 4120 KB Output is correct
59 Correct 656 ms 4060 KB Output is correct
60 Correct 660 ms 4004 KB Output is correct
61 Correct 672 ms 3924 KB Output is correct
62 Correct 663 ms 4044 KB Output is correct
63 Correct 659 ms 4072 KB Output is correct
64 Correct 670 ms 4004 KB Output is correct
65 Correct 690 ms 4188 KB Output is correct
66 Correct 677 ms 4144 KB Output is correct
67 Correct 682 ms 4020 KB Output is correct
68 Correct 651 ms 4040 KB Output is correct
69 Correct 817 ms 4136 KB Output is correct
70 Correct 936 ms 4300 KB Output is correct
71 Correct 924 ms 4232 KB Output is correct
72 Correct 931 ms 4380 KB Output is correct
73 Correct 955 ms 4276 KB Output is correct
74 Correct 963 ms 4400 KB Output is correct
75 Correct 969 ms 4284 KB Output is correct
76 Correct 960 ms 4212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2044 KB Output is correct
2 Correct 7 ms 1992 KB Output is correct
3 Correct 8 ms 2304 KB Output is correct
4 Correct 8 ms 2000 KB Output is correct
5 Correct 8 ms 1964 KB Output is correct
6 Correct 8 ms 1908 KB Output is correct
7 Correct 10 ms 2156 KB Output is correct
8 Correct 16 ms 2144 KB Output is correct
9 Correct 16 ms 2152 KB Output is correct
10 Correct 16 ms 2164 KB Output is correct
11 Correct 16 ms 1968 KB Output is correct
12 Correct 16 ms 2136 KB Output is correct
13 Correct 15 ms 1888 KB Output is correct
14 Correct 32 ms 2428 KB Output is correct
15 Correct 47 ms 2516 KB Output is correct
16 Correct 43 ms 2628 KB Output is correct
17 Correct 41 ms 2628 KB Output is correct
18 Correct 41 ms 2596 KB Output is correct
19 Correct 43 ms 2536 KB Output is correct
20 Correct 43 ms 2600 KB Output is correct
21 Correct 59 ms 2588 KB Output is correct
22 Correct 85 ms 2656 KB Output is correct
23 Correct 88 ms 2652 KB Output is correct
24 Correct 90 ms 2812 KB Output is correct
25 Correct 90 ms 2656 KB Output is correct
26 Correct 83 ms 2704 KB Output is correct
27 Correct 83 ms 2728 KB Output is correct
28 Correct 93 ms 2684 KB Output is correct
29 Correct 123 ms 2768 KB Output is correct
30 Correct 179 ms 2984 KB Output is correct
31 Correct 163 ms 2904 KB Output is correct
32 Correct 164 ms 2872 KB Output is correct
33 Correct 167 ms 2920 KB Output is correct
34 Correct 159 ms 2868 KB Output is correct
35 Correct 173 ms 2848 KB Output is correct
36 Correct 163 ms 2836 KB Output is correct
37 Correct 230 ms 3260 KB Output is correct
38 Correct 271 ms 3272 KB Output is correct
39 Correct 295 ms 3408 KB Output is correct
40 Correct 271 ms 3228 KB Output is correct
41 Correct 292 ms 3352 KB Output is correct
42 Correct 276 ms 3236 KB Output is correct
43 Correct 281 ms 3280 KB Output is correct
44 Correct 283 ms 3240 KB Output is correct
45 Correct 346 ms 3400 KB Output is correct
46 Correct 448 ms 3476 KB Output is correct
47 Correct 451 ms 3404 KB Output is correct
48 Correct 462 ms 3672 KB Output is correct
49 Correct 450 ms 3432 KB Output is correct
50 Correct 457 ms 3356 KB Output is correct
51 Correct 451 ms 3516 KB Output is correct
52 Correct 454 ms 3532 KB Output is correct
53 Correct 446 ms 3564 KB Output is correct
54 Correct 444 ms 3496 KB Output is correct
55 Correct 438 ms 3388 KB Output is correct
56 Correct 445 ms 3428 KB Output is correct
57 Correct 548 ms 3912 KB Output is correct
58 Correct 670 ms 4120 KB Output is correct
59 Correct 656 ms 4060 KB Output is correct
60 Correct 660 ms 4004 KB Output is correct
61 Correct 672 ms 3924 KB Output is correct
62 Correct 663 ms 4044 KB Output is correct
63 Correct 659 ms 4072 KB Output is correct
64 Correct 670 ms 4004 KB Output is correct
65 Correct 690 ms 4188 KB Output is correct
66 Correct 677 ms 4144 KB Output is correct
67 Correct 682 ms 4020 KB Output is correct
68 Correct 651 ms 4040 KB Output is correct
69 Correct 817 ms 4136 KB Output is correct
70 Correct 936 ms 4300 KB Output is correct
71 Correct 924 ms 4232 KB Output is correct
72 Correct 931 ms 4380 KB Output is correct
73 Correct 955 ms 4276 KB Output is correct
74 Correct 963 ms 4400 KB Output is correct
75 Correct 969 ms 4284 KB Output is correct
76 Correct 960 ms 4212 KB Output is correct
77 Correct 978 ms 4248 KB Output is correct
78 Correct 1276 ms 4684 KB Output is correct
79 Correct 1287 ms 4716 KB Output is correct
80 Correct 1301 ms 4736 KB Output is correct
81 Correct 1320 ms 4544 KB Output is correct
82 Correct 1328 ms 4788 KB Output is correct
83 Correct 1303 ms 4560 KB Output is correct
84 Correct 1280 ms 4748 KB Output is correct