답안 #480985

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
480985	2021-10-19T04:56:56 Z	pure_mem	Tug of War (BOI15_tug)	C++17	100 / 100	641 ms	8448 KB

#include <bits/stdc++.h>

#define ll long long
#define X first
#define Y second
#define MP make_pair

using namespace std;

const int N = 6e4 + 1, M = 10 * N;
const int mod = 1e9 + 7;

int n, k, deg[N], vis[N], w[N];
vector< pair<int, int> > g[N];
bitset<M> dp;

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0), cout.tie(0);
	
	cin >> n >> k;
	int sum = 0;
	for(int i = 1, x, y;i <= n + n;i++) {
		cin >> x >> y >> w[i], y += n;
		g[x].push_back(MP(y, i)), deg[x]++;
		g[y].push_back(MP(x, i)), deg[y]++;
	}
	{
		set< pair<int, int> > st;
		for(int i = 1;i <= n + n;i++)
			st.insert(MP(deg[i], i));
		while(!st.empty()) {
			int pos = st.begin()->Y;
			st.erase(st.begin());
			if(deg[pos] == 0) return cout << "NO", 0;
			else if(deg[pos] != 1) break;

			for(auto [to, id]: g[pos]) {
				if(vis[id]) continue;

				vis[id] = 1;
				st.erase(MP(deg[to], to));
				if(pos > n) sum -= w[id];
				else sum += w[id];
				deg[to]--, deg[pos]--;
				st.insert(MP(deg[to], to));
				
				break;
			}
		}
	}
	dp[0] = 1;
	for(int i = 1;i <= n + n;i++) {
		int bl = 0;
		function<void(int)> dfs;
		dfs = [&](int v){
			int cnt = 0;
			for(auto [to, id]: g[v]) {
				if(vis[id]) continue;
				
				vis[id] = 1;
				if(v <= n) bl += w[id];
				else bl -= w[id];
				dfs(to);

				cnt++;
			}
			assert(cnt <= 1);
		};
		dfs(i);
		if(bl == 0) continue;
		bl = abs(bl), sum += bl, dp |= dp << bl;
	}
	string ans = "NO";
	for(int i = 0;i < M;i++) {
		if(dp[i] && abs(sum - 2 * i) <= k) {
			ans = "YES";
		}
	}
	cout << ans;

	return 0;
}

Subtask #1
18.0 / 18.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	1868 KB	Output is correct
2	Correct	2 ms	1868 KB	Output is correct
3	Correct	2 ms	1872 KB	Output is correct
4	Correct	2 ms	1956 KB	Output is correct
5	Correct	2 ms	1868 KB	Output is correct
6	Correct	2 ms	1868 KB	Output is correct
7	Correct	2 ms	1868 KB	Output is correct
8	Correct	2 ms	1868 KB	Output is correct
9	Correct	2 ms	1868 KB	Output is correct
10	Correct	3 ms	1868 KB	Output is correct
11	Correct	3 ms	1868 KB	Output is correct
12	Correct	3 ms	1868 KB	Output is correct
13	Correct	2 ms	1868 KB	Output is correct
14	Correct	3 ms	1868 KB	Output is correct
15	Correct	2 ms	1872 KB	Output is correct
16	Correct	2 ms	1868 KB	Output is correct
17	Correct	2 ms	1868 KB	Output is correct
18	Correct	2 ms	1868 KB	Output is correct
19	Correct	2 ms	1868 KB	Output is correct
20	Correct	2 ms	1884 KB	Output is correct
21	Correct	2 ms	1872 KB	Output is correct
22	Correct	2 ms	1868 KB	Output is correct
23	Correct	2 ms	1868 KB	Output is correct
24	Correct	2 ms	1868 KB	Output is correct
25	Correct	2 ms	1948 KB	Output is correct

Subtask #2
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	1868 KB	Output is correct
2	Correct	2 ms	1868 KB	Output is correct
3	Correct	2 ms	1872 KB	Output is correct
4	Correct	2 ms	1956 KB	Output is correct
5	Correct	2 ms	1868 KB	Output is correct
6	Correct	2 ms	1868 KB	Output is correct
7	Correct	2 ms	1868 KB	Output is correct
8	Correct	2 ms	1868 KB	Output is correct
9	Correct	2 ms	1868 KB	Output is correct
10	Correct	3 ms	1868 KB	Output is correct
11	Correct	3 ms	1868 KB	Output is correct
12	Correct	3 ms	1868 KB	Output is correct
13	Correct	2 ms	1868 KB	Output is correct
14	Correct	3 ms	1868 KB	Output is correct
15	Correct	2 ms	1872 KB	Output is correct
16	Correct	2 ms	1868 KB	Output is correct
17	Correct	2 ms	1868 KB	Output is correct
18	Correct	2 ms	1868 KB	Output is correct
19	Correct	2 ms	1868 KB	Output is correct
20	Correct	2 ms	1884 KB	Output is correct
21	Correct	2 ms	1872 KB	Output is correct
22	Correct	2 ms	1868 KB	Output is correct
23	Correct	2 ms	1868 KB	Output is correct
24	Correct	2 ms	1868 KB	Output is correct
25	Correct	2 ms	1948 KB	Output is correct
26	Correct	41 ms	2252 KB	Output is correct
27	Correct	10 ms	2252 KB	Output is correct
28	Correct	41 ms	2252 KB	Output is correct
29	Correct	9 ms	2252 KB	Output is correct
30	Correct	39 ms	2252 KB	Output is correct
31	Correct	10 ms	2356 KB	Output is correct
32	Correct	45 ms	2372 KB	Output is correct
33	Correct	9 ms	2364 KB	Output is correct
34	Correct	6 ms	2252 KB	Output is correct
35	Correct	9 ms	2252 KB	Output is correct
36	Correct	39 ms	2252 KB	Output is correct
37	Correct	9 ms	2272 KB	Output is correct
38	Correct	40 ms	2252 KB	Output is correct
39	Correct	10 ms	2268 KB	Output is correct
40	Correct	40 ms	2348 KB	Output is correct
41	Correct	9 ms	2252 KB	Output is correct
42	Correct	44 ms	2252 KB	Output is correct
43	Correct	10 ms	2364 KB	Output is correct
44	Correct	40 ms	2252 KB	Output is correct
45	Correct	10 ms	2252 KB	Output is correct
46	Correct	57 ms	2336 KB	Output is correct
47	Correct	4 ms	2252 KB	Output is correct
48	Correct	23 ms	2336 KB	Output is correct
49	Correct	23 ms	2380 KB	Output is correct
50	Correct	45 ms	2336 KB	Output is correct
51	Correct	44 ms	2276 KB	Output is correct

Subtask #3
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	14 ms	3916 KB	Output is correct
2	Correct	11 ms	3932 KB	Output is correct
3	Correct	16 ms	3808 KB	Output is correct
4	Correct	11 ms	3916 KB	Output is correct
5	Correct	12 ms	3828 KB	Output is correct
6	Correct	18 ms	3912 KB	Output is correct
7	Correct	13 ms	3808 KB	Output is correct
8	Correct	12 ms	3908 KB	Output is correct
9	Correct	13 ms	3916 KB	Output is correct
10	Correct	12 ms	3916 KB	Output is correct
11	Correct	13 ms	3808 KB	Output is correct
12	Correct	13 ms	3880 KB	Output is correct
13	Correct	12 ms	3808 KB	Output is correct
14	Correct	13 ms	3800 KB	Output is correct
15	Correct	13 ms	3916 KB	Output is correct
16	Correct	14 ms	3916 KB	Output is correct
17	Correct	11 ms	3916 KB	Output is correct
18	Correct	14 ms	3896 KB	Output is correct
19	Correct	11 ms	3916 KB	Output is correct
20	Correct	17 ms	3904 KB	Output is correct
21	Correct	11 ms	3788 KB	Output is correct
22	Correct	17 ms	3932 KB	Output is correct

Subtask #4
29.0 / 29.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	1868 KB	Output is correct
2	Correct	2 ms	1868 KB	Output is correct
3	Correct	2 ms	1872 KB	Output is correct
4	Correct	2 ms	1956 KB	Output is correct
5	Correct	2 ms	1868 KB	Output is correct
6	Correct	2 ms	1868 KB	Output is correct
7	Correct	2 ms	1868 KB	Output is correct
8	Correct	2 ms	1868 KB	Output is correct
9	Correct	2 ms	1868 KB	Output is correct
10	Correct	3 ms	1868 KB	Output is correct
11	Correct	3 ms	1868 KB	Output is correct
12	Correct	3 ms	1868 KB	Output is correct
13	Correct	2 ms	1868 KB	Output is correct
14	Correct	3 ms	1868 KB	Output is correct
15	Correct	2 ms	1872 KB	Output is correct
16	Correct	2 ms	1868 KB	Output is correct
17	Correct	2 ms	1868 KB	Output is correct
18	Correct	2 ms	1868 KB	Output is correct
19	Correct	2 ms	1868 KB	Output is correct
20	Correct	2 ms	1884 KB	Output is correct
21	Correct	2 ms	1872 KB	Output is correct
22	Correct	2 ms	1868 KB	Output is correct
23	Correct	2 ms	1868 KB	Output is correct
24	Correct	2 ms	1868 KB	Output is correct
25	Correct	2 ms	1948 KB	Output is correct
26	Correct	41 ms	2252 KB	Output is correct
27	Correct	10 ms	2252 KB	Output is correct
28	Correct	41 ms	2252 KB	Output is correct
29	Correct	9 ms	2252 KB	Output is correct
30	Correct	39 ms	2252 KB	Output is correct
31	Correct	10 ms	2356 KB	Output is correct
32	Correct	45 ms	2372 KB	Output is correct
33	Correct	9 ms	2364 KB	Output is correct
34	Correct	6 ms	2252 KB	Output is correct
35	Correct	9 ms	2252 KB	Output is correct
36	Correct	39 ms	2252 KB	Output is correct
37	Correct	9 ms	2272 KB	Output is correct
38	Correct	40 ms	2252 KB	Output is correct
39	Correct	10 ms	2268 KB	Output is correct
40	Correct	40 ms	2348 KB	Output is correct
41	Correct	9 ms	2252 KB	Output is correct
42	Correct	44 ms	2252 KB	Output is correct
43	Correct	10 ms	2364 KB	Output is correct
44	Correct	40 ms	2252 KB	Output is correct
45	Correct	10 ms	2252 KB	Output is correct
46	Correct	57 ms	2336 KB	Output is correct
47	Correct	4 ms	2252 KB	Output is correct
48	Correct	23 ms	2336 KB	Output is correct
49	Correct	23 ms	2380 KB	Output is correct
50	Correct	45 ms	2336 KB	Output is correct
51	Correct	44 ms	2276 KB	Output is correct
52	Correct	14 ms	3916 KB	Output is correct
53	Correct	11 ms	3932 KB	Output is correct
54	Correct	16 ms	3808 KB	Output is correct
55	Correct	11 ms	3916 KB	Output is correct
56	Correct	12 ms	3828 KB	Output is correct
57	Correct	18 ms	3912 KB	Output is correct
58	Correct	13 ms	3808 KB	Output is correct
59	Correct	12 ms	3908 KB	Output is correct
60	Correct	13 ms	3916 KB	Output is correct
61	Correct	12 ms	3916 KB	Output is correct
62	Correct	13 ms	3808 KB	Output is correct
63	Correct	13 ms	3880 KB	Output is correct
64	Correct	12 ms	3808 KB	Output is correct
65	Correct	13 ms	3800 KB	Output is correct
66	Correct	13 ms	3916 KB	Output is correct
67	Correct	14 ms	3916 KB	Output is correct
68	Correct	11 ms	3916 KB	Output is correct
69	Correct	14 ms	3896 KB	Output is correct
70	Correct	11 ms	3916 KB	Output is correct
71	Correct	17 ms	3904 KB	Output is correct
72	Correct	11 ms	3788 KB	Output is correct
73	Correct	17 ms	3932 KB	Output is correct
74	Correct	587 ms	8136 KB	Output is correct
75	Correct	74 ms	8024 KB	Output is correct
76	Correct	615 ms	8252 KB	Output is correct
77	Correct	70 ms	8136 KB	Output is correct
78	Correct	602 ms	8260 KB	Output is correct
79	Correct	600 ms	8140 KB	Output is correct
80	Correct	63 ms	8132 KB	Output is correct
81	Correct	70 ms	8016 KB	Output is correct
82	Correct	633 ms	8240 KB	Output is correct
83	Correct	641 ms	8136 KB	Output is correct
84	Correct	75 ms	8132 KB	Output is correct
85	Correct	594 ms	8136 KB	Output is correct
86	Correct	66 ms	8036 KB	Output is correct
87	Correct	607 ms	8068 KB	Output is correct
88	Correct	70 ms	8132 KB	Output is correct
89	Correct	614 ms	8136 KB	Output is correct
90	Correct	64 ms	8132 KB	Output is correct
91	Correct	591 ms	8132 KB	Output is correct
92	Correct	70 ms	8092 KB	Output is correct
93	Correct	597 ms	8132 KB	Output is correct
94	Correct	39 ms	8004 KB	Output is correct
95	Correct	336 ms	8448 KB	Output is correct
96	Correct	344 ms	8444 KB	Output is correct
97	Correct	628 ms	8132 KB	Output is correct
98	Correct	610 ms	8132 KB	Output is correct

답안 #480985

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