Submission #1110901

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1110901	2024-11-11T00:27:38 Z	Rainmaker2627	Tug of War (BOI15_tug)	C++17	100 / 100	437 ms	5712 KB

#include<bits/stdc++.h>
using namespace std;

int n, k, c=0;
vector<int> L, R, ind, vis;
vector<vector<pair<int, int>>> adj;

void dfs(int u, int p) {
	if (vis[u]==0) vis[u]=2;
	for (auto [v, w] : adj[u]) {
		if (vis[v]==1 || vis[v]==2) continue;
		if (v==p) { p=-1; continue; }
		if (u>n) R[c]+=w;
		else L[c]+=w;
		dfs(v, u);
	}
}

int main() {
	cin.tie(0)->sync_with_stdio(false);

	int t=0;
	cin >> n >> k;
	ind.assign(2*n+1, 0);
	adj.assign(2*n+1, vector<pair<int, int>>());
	for (int i = 0; i < 2*n; ++i) {
		int l, r, s;
		cin >> l >> r >> s;
		adj[l].push_back({n+r, s});
		adj[n+r].push_back({l, s});
		ind[l]++; ind[n+r]++;
		t+=s;
	}

	queue<int> q;
	vis.assign(2*n+1, 0);
	for (int i = 1; i <= 2*n; ++i) {
		if (ind[i]==1) q.push(i);
		if (ind[i]==0) {
			cout << "NO\n";
			return 0;
		}
	}

	int l=0, r=0;
	while (!q.empty()) {
		int u=q.front();
		q.pop();

		vis[u]=1;
		for (auto [v, w] : adj[u]) {
			if (vis[v]) continue;
			if (--ind[v]==1) q.push(v);
			if (ind[v]==0) {
				cout << "NO\n";
				return 0;
			}
			if (u>n) r+=w;
			else l+=w;
		}
	}

	for (int i = 1; i <= n; ++i) {
		if (vis[i]) continue;
		L.push_back(0);
		R.push_back(0);
		vis[i]=3;
		dfs(i, i);
		c++;
	}

	int m=abs(l-r);
	bitset<600001> dp;
	dp[0]=1; dp|=dp<<abs(l-r);
	for (int i = 0; i < c; ++i) {
		dp|=(dp<<abs(L[i]-R[i]));
		m+=abs(L[i]-R[i]);
	}

	for (int i = 0; i <= m; ++i) {
		if (dp[i] && abs(2*i-m)<=k) {
			cout << "YES\n";
			return 0;
		}
	} cout << "NO\n";

	return 0;
}

Subtask #1
18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	592 KB	Output is correct
2	Correct	2 ms	592 KB	Output is correct
3	Correct	1 ms	592 KB	Output is correct
4	Correct	1 ms	592 KB	Output is correct
5	Correct	1 ms	760 KB	Output is correct
6	Correct	1 ms	808 KB	Output is correct
7	Correct	1 ms	608 KB	Output is correct
8	Correct	1 ms	760 KB	Output is correct
9	Correct	1 ms	592 KB	Output is correct
10	Correct	1 ms	592 KB	Output is correct
11	Correct	1 ms	592 KB	Output is correct
12	Correct	1 ms	848 KB	Output is correct
13	Correct	1 ms	592 KB	Output is correct
14	Correct	1 ms	592 KB	Output is correct
15	Correct	1 ms	592 KB	Output is correct
16	Correct	1 ms	592 KB	Output is correct
17	Correct	1 ms	592 KB	Output is correct
18	Correct	1 ms	592 KB	Output is correct
19	Correct	1 ms	592 KB	Output is correct
20	Correct	1 ms	592 KB	Output is correct
21	Correct	1 ms	592 KB	Output is correct
22	Correct	1 ms	604 KB	Output is correct
23	Correct	1 ms	592 KB	Output is correct
24	Correct	1 ms	592 KB	Output is correct
25	Correct	1 ms	592 KB	Output is correct

Subtask #2
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	592 KB	Output is correct
2	Correct	2 ms	592 KB	Output is correct
3	Correct	1 ms	592 KB	Output is correct
4	Correct	1 ms	592 KB	Output is correct
5	Correct	1 ms	760 KB	Output is correct
6	Correct	1 ms	808 KB	Output is correct
7	Correct	1 ms	608 KB	Output is correct
8	Correct	1 ms	760 KB	Output is correct
9	Correct	1 ms	592 KB	Output is correct
10	Correct	1 ms	592 KB	Output is correct
11	Correct	1 ms	592 KB	Output is correct
12	Correct	1 ms	848 KB	Output is correct
13	Correct	1 ms	592 KB	Output is correct
14	Correct	1 ms	592 KB	Output is correct
15	Correct	1 ms	592 KB	Output is correct
16	Correct	1 ms	592 KB	Output is correct
17	Correct	1 ms	592 KB	Output is correct
18	Correct	1 ms	592 KB	Output is correct
19	Correct	1 ms	592 KB	Output is correct
20	Correct	1 ms	592 KB	Output is correct
21	Correct	1 ms	592 KB	Output is correct
22	Correct	1 ms	604 KB	Output is correct
23	Correct	1 ms	592 KB	Output is correct
24	Correct	1 ms	592 KB	Output is correct
25	Correct	1 ms	592 KB	Output is correct
26	Correct	29 ms	848 KB	Output is correct
27	Correct	6 ms	848 KB	Output is correct
28	Correct	28 ms	1016 KB	Output is correct
29	Correct	6 ms	848 KB	Output is correct
30	Correct	28 ms	996 KB	Output is correct
31	Correct	7 ms	848 KB	Output is correct
32	Correct	28 ms	848 KB	Output is correct
33	Correct	6 ms	848 KB	Output is correct
34	Correct	4 ms	848 KB	Output is correct
35	Correct	6 ms	848 KB	Output is correct
36	Correct	29 ms	996 KB	Output is correct
37	Correct	7 ms	848 KB	Output is correct
38	Correct	29 ms	848 KB	Output is correct
39	Correct	6 ms	848 KB	Output is correct
40	Correct	27 ms	848 KB	Output is correct
41	Correct	6 ms	848 KB	Output is correct
42	Correct	28 ms	996 KB	Output is correct
43	Correct	6 ms	848 KB	Output is correct
44	Correct	27 ms	1020 KB	Output is correct
45	Correct	8 ms	848 KB	Output is correct
46	Correct	28 ms	848 KB	Output is correct
47	Correct	2 ms	848 KB	Output is correct
48	Correct	18 ms	848 KB	Output is correct
49	Correct	16 ms	848 KB	Output is correct
50	Correct	36 ms	848 KB	Output is correct
51	Correct	28 ms	1016 KB	Output is correct

Subtask #3
23.0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	76 ms	2128 KB	Output is correct
2	Correct	7 ms	2160 KB	Output is correct
3	Correct	79 ms	2168 KB	Output is correct
4	Correct	8 ms	2128 KB	Output is correct
5	Correct	84 ms	2364 KB	Output is correct
6	Correct	6 ms	2152 KB	Output is correct
7	Correct	74 ms	2128 KB	Output is correct
8	Correct	7 ms	2128 KB	Output is correct
9	Correct	74 ms	2128 KB	Output is correct
10	Correct	8 ms	2128 KB	Output is correct
11	Correct	91 ms	2284 KB	Output is correct
12	Correct	7 ms	2140 KB	Output is correct
13	Correct	95 ms	2120 KB	Output is correct
14	Correct	84 ms	2236 KB	Output is correct
15	Correct	7 ms	2128 KB	Output is correct
16	Correct	79 ms	2128 KB	Output is correct
17	Correct	9 ms	2128 KB	Output is correct
18	Correct	79 ms	2128 KB	Output is correct
19	Correct	9 ms	2140 KB	Output is correct
20	Correct	76 ms	2128 KB	Output is correct
21	Correct	7 ms	2128 KB	Output is correct
22	Correct	42 ms	2128 KB	Output is correct

Subtask #4
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	592 KB	Output is correct
2	Correct	2 ms	592 KB	Output is correct
3	Correct	1 ms	592 KB	Output is correct
4	Correct	1 ms	592 KB	Output is correct
5	Correct	1 ms	760 KB	Output is correct
6	Correct	1 ms	808 KB	Output is correct
7	Correct	1 ms	608 KB	Output is correct
8	Correct	1 ms	760 KB	Output is correct
9	Correct	1 ms	592 KB	Output is correct
10	Correct	1 ms	592 KB	Output is correct
11	Correct	1 ms	592 KB	Output is correct
12	Correct	1 ms	848 KB	Output is correct
13	Correct	1 ms	592 KB	Output is correct
14	Correct	1 ms	592 KB	Output is correct
15	Correct	1 ms	592 KB	Output is correct
16	Correct	1 ms	592 KB	Output is correct
17	Correct	1 ms	592 KB	Output is correct
18	Correct	1 ms	592 KB	Output is correct
19	Correct	1 ms	592 KB	Output is correct
20	Correct	1 ms	592 KB	Output is correct
21	Correct	1 ms	592 KB	Output is correct
22	Correct	1 ms	604 KB	Output is correct
23	Correct	1 ms	592 KB	Output is correct
24	Correct	1 ms	592 KB	Output is correct
25	Correct	1 ms	592 KB	Output is correct
26	Correct	29 ms	848 KB	Output is correct
27	Correct	6 ms	848 KB	Output is correct
28	Correct	28 ms	1016 KB	Output is correct
29	Correct	6 ms	848 KB	Output is correct
30	Correct	28 ms	996 KB	Output is correct
31	Correct	7 ms	848 KB	Output is correct
32	Correct	28 ms	848 KB	Output is correct
33	Correct	6 ms	848 KB	Output is correct
34	Correct	4 ms	848 KB	Output is correct
35	Correct	6 ms	848 KB	Output is correct
36	Correct	29 ms	996 KB	Output is correct
37	Correct	7 ms	848 KB	Output is correct
38	Correct	29 ms	848 KB	Output is correct
39	Correct	6 ms	848 KB	Output is correct
40	Correct	27 ms	848 KB	Output is correct
41	Correct	6 ms	848 KB	Output is correct
42	Correct	28 ms	996 KB	Output is correct
43	Correct	6 ms	848 KB	Output is correct
44	Correct	27 ms	1020 KB	Output is correct
45	Correct	8 ms	848 KB	Output is correct
46	Correct	28 ms	848 KB	Output is correct
47	Correct	2 ms	848 KB	Output is correct
48	Correct	18 ms	848 KB	Output is correct
49	Correct	16 ms	848 KB	Output is correct
50	Correct	36 ms	848 KB	Output is correct
51	Correct	28 ms	1016 KB	Output is correct
52	Correct	76 ms	2128 KB	Output is correct
53	Correct	7 ms	2160 KB	Output is correct
54	Correct	79 ms	2168 KB	Output is correct
55	Correct	8 ms	2128 KB	Output is correct
56	Correct	84 ms	2364 KB	Output is correct
57	Correct	6 ms	2152 KB	Output is correct
58	Correct	74 ms	2128 KB	Output is correct
59	Correct	7 ms	2128 KB	Output is correct
60	Correct	74 ms	2128 KB	Output is correct
61	Correct	8 ms	2128 KB	Output is correct
62	Correct	91 ms	2284 KB	Output is correct
63	Correct	7 ms	2140 KB	Output is correct
64	Correct	95 ms	2120 KB	Output is correct
65	Correct	84 ms	2236 KB	Output is correct
66	Correct	7 ms	2128 KB	Output is correct
67	Correct	79 ms	2128 KB	Output is correct
68	Correct	9 ms	2128 KB	Output is correct
69	Correct	79 ms	2128 KB	Output is correct
70	Correct	9 ms	2140 KB	Output is correct
71	Correct	76 ms	2128 KB	Output is correct
72	Correct	7 ms	2128 KB	Output is correct
73	Correct	42 ms	2128 KB	Output is correct
74	Correct	437 ms	5456 KB	Output is correct
75	Correct	46 ms	5200 KB	Output is correct
76	Correct	410 ms	5456 KB	Output is correct
77	Correct	36 ms	5200 KB	Output is correct
78	Correct	409 ms	5588 KB	Output is correct
79	Correct	412 ms	5456 KB	Output is correct
80	Correct	41 ms	5124 KB	Output is correct
81	Correct	38 ms	5160 KB	Output is correct
82	Correct	423 ms	5456 KB	Output is correct
83	Correct	408 ms	5456 KB	Output is correct
84	Correct	41 ms	5224 KB	Output is correct
85	Correct	406 ms	5456 KB	Output is correct
86	Correct	36 ms	5252 KB	Output is correct
87	Correct	408 ms	5704 KB	Output is correct
88	Correct	47 ms	5200 KB	Output is correct
89	Correct	408 ms	5456 KB	Output is correct
90	Correct	39 ms	5176 KB	Output is correct
91	Correct	423 ms	5576 KB	Output is correct
92	Correct	39 ms	5024 KB	Output is correct
93	Correct	419 ms	5576 KB	Output is correct
94	Correct	20 ms	5200 KB	Output is correct
95	Correct	214 ms	5712 KB	Output is correct
96	Correct	213 ms	5704 KB	Output is correct
97	Correct	429 ms	5452 KB	Output is correct
98	Correct	415 ms	5456 KB	Output is correct

Submission #1110901

Compilation message

Subtask #1 18.0 / 18.0

Subtask #2 30.0 / 30.0

Subtask #3 23.0 / 23.0

Subtask #4 29.0 / 29.0

Subtask #1
18.0 / 18.0

Subtask #2
30.0 / 30.0

Subtask #3
23.0 / 23.0

Subtask #4
29.0 / 29.0