Submission #726440

# Submission time Handle Problem Language Result Execution time Memory
726440 2023-04-18T22:38:34 Z dozer Tug of War (BOI15_tug) C++14
41 / 100
126 ms 262144 KB
#include <bits/stdc++.h>
using namespace std;
#define sp " "
#define endl "\n";
#define fastio() cin.tie(0), ios_base::sync_with_stdio(0)
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define N 60005

const int modulo = 1e9 + 7;


set<int> adj[N];
int l[N], r[N], w[N], done[N];

int32_t main()
{
	fastio();


	int n, k;
	cin>>n>>k;
	int all = 0;
	for (int i = 1; i <= 2 * n; i++)
	{
		cin>>l[i]>>r[i]>>w[i];
		adj[l[i]].insert(i);
		adj[r[i] + n].insert(i);
	}

	int sum = 0;
	queue<int> q;
	for (int i = 1; i <= 2 * n; i++)
		if (adj[i].size() == 1) q.push(i);

	int flag = 0;
	while(!q.empty())
	{
		int top = q.front();
		q.pop();
		done[top] = 1;
		if (adj[top].empty())
		{
			flag = 1;
			break;
		}

		if (top <= n) sum += w[*adj[top].begin()];
		else sum -= w[*adj[top].begin()];

		for (auto i : adj[top])
		{
			int to = l[i];
			if (to == top) to = r[i] + n;
			adj[to].erase(i);
			if (adj[to].size() == 1) q.push(to);
		}
	}	

	if (flag)
	{
		cout<<"NO\n";
		return 0;
	}

	vector<int> v;
	for (int i = 1; i <= 2 * n; i++)
	{
		if (done[i]) continue;
		if (adj[i].empty())
		{
			flag = 1;
			break;
		}
		int curr = i, steps = 0, tot = 0;
		while(done[curr] == 0 && !adj[curr].empty())
		{
			done[curr] = 1;
			if (adj[curr].size() > 2)
			{
				flag = 1;
				break;
			}
			int ind = *adj[curr].begin();
			if (steps % 2) tot -= w[ind];
			else tot += w[ind];
			steps++;
			int to = l[ind];
			if (to == curr) to = r[ind] + n;
			adj[to].erase(ind);
			adj[curr].erase(ind);
			curr = to;
		}
		v.pb(abs(tot));	
		all += abs(tot);
	}
	if (flag)
	{
		cout<<"NO\n";
		return 0;
	}
	v.pb(0);
	

	int dp[v.size() + 5][all + 5];
	memset(dp, 0, sizeof(dp));
	
	sort(v.rbegin(), v.rend());
	dp[0][0] = 1;
	for (int i = 0; i < (int)v.size(); i++)
	{
		for (int j = 0; j <= all - v[i]; j++)
		{
			dp[i + 1][j + v[i]] |= dp[i][j];
			dp[i + 1][abs(j - v[i])] |= dp[i][j];
		}
	}


	sum = abs(sum);
	
	for (int i = 0; i <= all; i++)
		if (dp[v.size()][i] && min(abs(sum + i), abs(sum - i)) <= k) flag = 1;


	if (flag) cout<<"YES\n";
	else cout<<"NO\n";

	cerr << "time taken : " << (float)clock() / CLOCKS_PER_SEC << " seconds\n";
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3156 KB Output is correct
2 Correct 2 ms 3148 KB Output is correct
3 Correct 2 ms 3156 KB Output is correct
4 Correct 2 ms 3156 KB Output is correct
5 Correct 2 ms 3144 KB Output is correct
6 Correct 2 ms 3156 KB Output is correct
7 Correct 2 ms 3156 KB Output is correct
8 Correct 2 ms 3156 KB Output is correct
9 Correct 2 ms 3156 KB Output is correct
10 Correct 2 ms 3156 KB Output is correct
11 Correct 2 ms 3156 KB Output is correct
12 Correct 2 ms 3112 KB Output is correct
13 Correct 2 ms 3156 KB Output is correct
14 Correct 2 ms 3144 KB Output is correct
15 Correct 2 ms 3156 KB Output is correct
16 Correct 2 ms 3156 KB Output is correct
17 Correct 2 ms 3156 KB Output is correct
18 Correct 2 ms 3144 KB Output is correct
19 Correct 2 ms 3156 KB Output is correct
20 Correct 2 ms 3156 KB Output is correct
21 Correct 2 ms 3156 KB Output is correct
22 Correct 2 ms 3148 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 2 ms 3156 KB Output is correct
25 Correct 2 ms 3156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3156 KB Output is correct
2 Correct 2 ms 3148 KB Output is correct
3 Correct 2 ms 3156 KB Output is correct
4 Correct 2 ms 3156 KB Output is correct
5 Correct 2 ms 3144 KB Output is correct
6 Correct 2 ms 3156 KB Output is correct
7 Correct 2 ms 3156 KB Output is correct
8 Correct 2 ms 3156 KB Output is correct
9 Correct 2 ms 3156 KB Output is correct
10 Correct 2 ms 3156 KB Output is correct
11 Correct 2 ms 3156 KB Output is correct
12 Correct 2 ms 3112 KB Output is correct
13 Correct 2 ms 3156 KB Output is correct
14 Correct 2 ms 3144 KB Output is correct
15 Correct 2 ms 3156 KB Output is correct
16 Correct 2 ms 3156 KB Output is correct
17 Correct 2 ms 3156 KB Output is correct
18 Correct 2 ms 3144 KB Output is correct
19 Correct 2 ms 3156 KB Output is correct
20 Correct 2 ms 3156 KB Output is correct
21 Correct 2 ms 3156 KB Output is correct
22 Correct 2 ms 3148 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 2 ms 3156 KB Output is correct
25 Correct 2 ms 3156 KB Output is correct
26 Correct 102 ms 108964 KB Output is correct
27 Correct 42 ms 41552 KB Output is correct
28 Correct 88 ms 107852 KB Output is correct
29 Correct 36 ms 41556 KB Output is correct
30 Correct 88 ms 109288 KB Output is correct
31 Correct 36 ms 41556 KB Output is correct
32 Correct 105 ms 108556 KB Output is correct
33 Correct 41 ms 41664 KB Output is correct
34 Correct 25 ms 20172 KB Output is correct
35 Correct 43 ms 41656 KB Output is correct
36 Correct 99 ms 108936 KB Output is correct
37 Correct 38 ms 41684 KB Output is correct
38 Correct 126 ms 110168 KB Output is correct
39 Correct 39 ms 41560 KB Output is correct
40 Correct 91 ms 107156 KB Output is correct
41 Correct 35 ms 41724 KB Output is correct
42 Correct 103 ms 109052 KB Output is correct
43 Correct 38 ms 41744 KB Output is correct
44 Correct 95 ms 109216 KB Output is correct
45 Correct 36 ms 41612 KB Output is correct
46 Correct 90 ms 109512 KB Output is correct
47 Correct 4 ms 3540 KB Output is correct
48 Correct 31 ms 30192 KB Output is correct
49 Correct 32 ms 30160 KB Output is correct
50 Runtime error 100 ms 262144 KB Execution killed with signal 9
51 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 14 ms 5844 KB Output is correct
2 Correct 11 ms 5512 KB Output is correct
3 Correct 18 ms 5768 KB Output is correct
4 Correct 12 ms 5532 KB Output is correct
5 Correct 19 ms 5876 KB Output is correct
6 Correct 10 ms 5496 KB Output is correct
7 Correct 10 ms 5884 KB Output is correct
8 Correct 10 ms 5460 KB Output is correct
9 Correct 13 ms 5836 KB Output is correct
10 Correct 11 ms 5460 KB Output is correct
11 Correct 12 ms 5780 KB Output is correct
12 Correct 11 ms 5468 KB Output is correct
13 Correct 11 ms 5844 KB Output is correct
14 Correct 11 ms 5808 KB Output is correct
15 Correct 11 ms 5460 KB Output is correct
16 Correct 17 ms 5768 KB Output is correct
17 Correct 16 ms 5452 KB Output is correct
18 Correct 11 ms 5844 KB Output is correct
19 Correct 10 ms 5524 KB Output is correct
20 Correct 11 ms 5844 KB Output is correct
21 Correct 10 ms 5576 KB Output is correct
22 Correct 13 ms 5716 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3156 KB Output is correct
2 Correct 2 ms 3148 KB Output is correct
3 Correct 2 ms 3156 KB Output is correct
4 Correct 2 ms 3156 KB Output is correct
5 Correct 2 ms 3144 KB Output is correct
6 Correct 2 ms 3156 KB Output is correct
7 Correct 2 ms 3156 KB Output is correct
8 Correct 2 ms 3156 KB Output is correct
9 Correct 2 ms 3156 KB Output is correct
10 Correct 2 ms 3156 KB Output is correct
11 Correct 2 ms 3156 KB Output is correct
12 Correct 2 ms 3112 KB Output is correct
13 Correct 2 ms 3156 KB Output is correct
14 Correct 2 ms 3144 KB Output is correct
15 Correct 2 ms 3156 KB Output is correct
16 Correct 2 ms 3156 KB Output is correct
17 Correct 2 ms 3156 KB Output is correct
18 Correct 2 ms 3144 KB Output is correct
19 Correct 2 ms 3156 KB Output is correct
20 Correct 2 ms 3156 KB Output is correct
21 Correct 2 ms 3156 KB Output is correct
22 Correct 2 ms 3148 KB Output is correct
23 Correct 2 ms 3156 KB Output is correct
24 Correct 2 ms 3156 KB Output is correct
25 Correct 2 ms 3156 KB Output is correct
26 Correct 102 ms 108964 KB Output is correct
27 Correct 42 ms 41552 KB Output is correct
28 Correct 88 ms 107852 KB Output is correct
29 Correct 36 ms 41556 KB Output is correct
30 Correct 88 ms 109288 KB Output is correct
31 Correct 36 ms 41556 KB Output is correct
32 Correct 105 ms 108556 KB Output is correct
33 Correct 41 ms 41664 KB Output is correct
34 Correct 25 ms 20172 KB Output is correct
35 Correct 43 ms 41656 KB Output is correct
36 Correct 99 ms 108936 KB Output is correct
37 Correct 38 ms 41684 KB Output is correct
38 Correct 126 ms 110168 KB Output is correct
39 Correct 39 ms 41560 KB Output is correct
40 Correct 91 ms 107156 KB Output is correct
41 Correct 35 ms 41724 KB Output is correct
42 Correct 103 ms 109052 KB Output is correct
43 Correct 38 ms 41744 KB Output is correct
44 Correct 95 ms 109216 KB Output is correct
45 Correct 36 ms 41612 KB Output is correct
46 Correct 90 ms 109512 KB Output is correct
47 Correct 4 ms 3540 KB Output is correct
48 Correct 31 ms 30192 KB Output is correct
49 Correct 32 ms 30160 KB Output is correct
50 Runtime error 100 ms 262144 KB Execution killed with signal 9
51 Halted 0 ms 0 KB -