Submission #480985

# Submission time Handle Problem Language Result Execution time Memory
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;
}
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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