Submission #76371

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
76371	2018-09-13T08:14:46 Z	tmwilliamlin168	Tug of War (BOI15_tug)	C++14	100 / 100	2334 ms	30048 KB

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

const int mxN=6e4;
int n, k, l[mxN], r[mxN], s[mxN], dp0;
set<int> pc[mxN];
bitset<20*mxN+1> dp;
queue<int> qu;
vector<int> vc;

void fk() {
	cout << "NO";
	exit(0);
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n >> k;
	n*=2;
	for(int i=0; i<n; ++i) {
		cin >> l[i] >> r[i] >> s[i], --l[i], r[i]+=n/2-1;
		pc[l[i]].insert(i);
		pc[r[i]].insert(i);
	}
	for(int i=0; i<n; ++i) {
		if(!pc[i].size())
			fk();
		else if(pc[i].size()==1)
			qu.push(i);
	}
	dp0=10*n;
	while(qu.size()) {
		int u=qu.front();
		if(!pc[u].size())
			fk();
		qu.pop();
		int a=*pc[u].begin(), v=u^l[a]^r[a];
		dp0+=u<n/2?s[a]:-s[a];
		pc[v].erase(a);
		if(pc[v].size()==1)
			qu.push(v);
	}
	for(int i=0; i<n; ++i) {
		if(pc[i].size()<2)
			continue;
		int c=0;
		for(int j=i; pc[j].size(); ) {
			int a=*pc[j].begin();
			c+=j<n/2?s[a]:-s[a];
			pc[l[a]].erase(a);
			pc[r[a]].erase(a);
			j^=l[a]^r[a];
		}
		c=abs(c);
		dp0-=c;
		vc.push_back(2*c);
	}
	dp[dp0]=1;
	for(int c : vc)
		dp|=dp<<c;
	bool ok=0;
	for(int i=10*n-k; i<=10*n+k&&!ok; ++i)
		ok=dp[i];
	if(!ok)
		fk();
	cout << "YES";
}

Subtask #1
18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	3576 KB	Output is correct
2	Correct	6 ms	3708 KB	Output is correct
3	Correct	5 ms	3708 KB	Output is correct
4	Correct	6 ms	3784 KB	Output is correct
5	Correct	5 ms	3844 KB	Output is correct
6	Correct	5 ms	3920 KB	Output is correct
7	Correct	5 ms	3920 KB	Output is correct
8	Correct	5 ms	3920 KB	Output is correct
9	Correct	5 ms	3920 KB	Output is correct
10	Correct	6 ms	3920 KB	Output is correct
11	Correct	5 ms	3920 KB	Output is correct
12	Correct	5 ms	3920 KB	Output is correct
13	Correct	5 ms	3920 KB	Output is correct
14	Correct	5 ms	3920 KB	Output is correct
15	Correct	5 ms	3920 KB	Output is correct
16	Correct	5 ms	3920 KB	Output is correct
17	Correct	5 ms	3920 KB	Output is correct
18	Correct	5 ms	3920 KB	Output is correct
19	Correct	5 ms	3920 KB	Output is correct
20	Correct	5 ms	3920 KB	Output is correct
21	Correct	4 ms	3920 KB	Output is correct
22	Correct	5 ms	3920 KB	Output is correct
23	Correct	5 ms	3920 KB	Output is correct
24	Correct	5 ms	3920 KB	Output is correct
25	Correct	5 ms	3920 KB	Output is correct

Subtask #2
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	3576 KB	Output is correct
2	Correct	6 ms	3708 KB	Output is correct
3	Correct	5 ms	3708 KB	Output is correct
4	Correct	6 ms	3784 KB	Output is correct
5	Correct	5 ms	3844 KB	Output is correct
6	Correct	5 ms	3920 KB	Output is correct
7	Correct	5 ms	3920 KB	Output is correct
8	Correct	5 ms	3920 KB	Output is correct
9	Correct	5 ms	3920 KB	Output is correct
10	Correct	6 ms	3920 KB	Output is correct
11	Correct	5 ms	3920 KB	Output is correct
12	Correct	5 ms	3920 KB	Output is correct
13	Correct	5 ms	3920 KB	Output is correct
14	Correct	5 ms	3920 KB	Output is correct
15	Correct	5 ms	3920 KB	Output is correct
16	Correct	5 ms	3920 KB	Output is correct
17	Correct	5 ms	3920 KB	Output is correct
18	Correct	5 ms	3920 KB	Output is correct
19	Correct	5 ms	3920 KB	Output is correct
20	Correct	5 ms	3920 KB	Output is correct
21	Correct	4 ms	3920 KB	Output is correct
22	Correct	5 ms	3920 KB	Output is correct
23	Correct	5 ms	3920 KB	Output is correct
24	Correct	5 ms	3920 KB	Output is correct
25	Correct	5 ms	3920 KB	Output is correct
26	Correct	154 ms	4320 KB	Output is correct
27	Correct	27 ms	4320 KB	Output is correct
28	Correct	162 ms	4320 KB	Output is correct
29	Correct	27 ms	4320 KB	Output is correct
30	Correct	154 ms	4320 KB	Output is correct
31	Correct	27 ms	4320 KB	Output is correct
32	Correct	158 ms	4320 KB	Output is correct
33	Correct	27 ms	4320 KB	Output is correct
34	Correct	19 ms	4320 KB	Output is correct
35	Correct	27 ms	4320 KB	Output is correct
36	Correct	161 ms	4320 KB	Output is correct
37	Correct	27 ms	4320 KB	Output is correct
38	Correct	177 ms	4320 KB	Output is correct
39	Correct	29 ms	4320 KB	Output is correct
40	Correct	153 ms	4320 KB	Output is correct
41	Correct	27 ms	4320 KB	Output is correct
42	Correct	155 ms	4320 KB	Output is correct
43	Correct	27 ms	4320 KB	Output is correct
44	Correct	149 ms	4320 KB	Output is correct
45	Correct	27 ms	4320 KB	Output is correct
46	Correct	155 ms	4320 KB	Output is correct
47	Correct	6 ms	4320 KB	Output is correct
48	Correct	114 ms	4320 KB	Output is correct
49	Correct	77 ms	4320 KB	Output is correct
50	Correct	156 ms	4320 KB	Output is correct
51	Correct	153 ms	4332 KB	Output is correct

Subtask #3
23.0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	461 ms	6012 KB	Output is correct
2	Correct	16 ms	6012 KB	Output is correct
3	Correct	461 ms	6016 KB	Output is correct
4	Correct	17 ms	6016 KB	Output is correct
5	Correct	460 ms	6016 KB	Output is correct
6	Correct	16 ms	6016 KB	Output is correct
7	Correct	443 ms	6016 KB	Output is correct
8	Correct	19 ms	6016 KB	Output is correct
9	Correct	495 ms	6016 KB	Output is correct
10	Correct	16 ms	6016 KB	Output is correct
11	Correct	448 ms	6016 KB	Output is correct
12	Correct	16 ms	6016 KB	Output is correct
13	Correct	454 ms	6016 KB	Output is correct
14	Correct	476 ms	6016 KB	Output is correct
15	Correct	17 ms	6016 KB	Output is correct
16	Correct	476 ms	6016 KB	Output is correct
17	Correct	21 ms	6016 KB	Output is correct
18	Correct	455 ms	6140 KB	Output is correct
19	Correct	17 ms	6140 KB	Output is correct
20	Correct	452 ms	6140 KB	Output is correct
21	Correct	17 ms	6140 KB	Output is correct
22	Correct	244 ms	6140 KB	Output is correct

Subtask #4
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	3576 KB	Output is correct
2	Correct	6 ms	3708 KB	Output is correct
3	Correct	5 ms	3708 KB	Output is correct
4	Correct	6 ms	3784 KB	Output is correct
5	Correct	5 ms	3844 KB	Output is correct
6	Correct	5 ms	3920 KB	Output is correct
7	Correct	5 ms	3920 KB	Output is correct
8	Correct	5 ms	3920 KB	Output is correct
9	Correct	5 ms	3920 KB	Output is correct
10	Correct	6 ms	3920 KB	Output is correct
11	Correct	5 ms	3920 KB	Output is correct
12	Correct	5 ms	3920 KB	Output is correct
13	Correct	5 ms	3920 KB	Output is correct
14	Correct	5 ms	3920 KB	Output is correct
15	Correct	5 ms	3920 KB	Output is correct
16	Correct	5 ms	3920 KB	Output is correct
17	Correct	5 ms	3920 KB	Output is correct
18	Correct	5 ms	3920 KB	Output is correct
19	Correct	5 ms	3920 KB	Output is correct
20	Correct	5 ms	3920 KB	Output is correct
21	Correct	4 ms	3920 KB	Output is correct
22	Correct	5 ms	3920 KB	Output is correct
23	Correct	5 ms	3920 KB	Output is correct
24	Correct	5 ms	3920 KB	Output is correct
25	Correct	5 ms	3920 KB	Output is correct
26	Correct	154 ms	4320 KB	Output is correct
27	Correct	27 ms	4320 KB	Output is correct
28	Correct	162 ms	4320 KB	Output is correct
29	Correct	27 ms	4320 KB	Output is correct
30	Correct	154 ms	4320 KB	Output is correct
31	Correct	27 ms	4320 KB	Output is correct
32	Correct	158 ms	4320 KB	Output is correct
33	Correct	27 ms	4320 KB	Output is correct
34	Correct	19 ms	4320 KB	Output is correct
35	Correct	27 ms	4320 KB	Output is correct
36	Correct	161 ms	4320 KB	Output is correct
37	Correct	27 ms	4320 KB	Output is correct
38	Correct	177 ms	4320 KB	Output is correct
39	Correct	29 ms	4320 KB	Output is correct
40	Correct	153 ms	4320 KB	Output is correct
41	Correct	27 ms	4320 KB	Output is correct
42	Correct	155 ms	4320 KB	Output is correct
43	Correct	27 ms	4320 KB	Output is correct
44	Correct	149 ms	4320 KB	Output is correct
45	Correct	27 ms	4320 KB	Output is correct
46	Correct	155 ms	4320 KB	Output is correct
47	Correct	6 ms	4320 KB	Output is correct
48	Correct	114 ms	4320 KB	Output is correct
49	Correct	77 ms	4320 KB	Output is correct
50	Correct	156 ms	4320 KB	Output is correct
51	Correct	153 ms	4332 KB	Output is correct
52	Correct	461 ms	6012 KB	Output is correct
53	Correct	16 ms	6012 KB	Output is correct
54	Correct	461 ms	6016 KB	Output is correct
55	Correct	17 ms	6016 KB	Output is correct
56	Correct	460 ms	6016 KB	Output is correct
57	Correct	16 ms	6016 KB	Output is correct
58	Correct	443 ms	6016 KB	Output is correct
59	Correct	19 ms	6016 KB	Output is correct
60	Correct	495 ms	6016 KB	Output is correct
61	Correct	16 ms	6016 KB	Output is correct
62	Correct	448 ms	6016 KB	Output is correct
63	Correct	16 ms	6016 KB	Output is correct
64	Correct	454 ms	6016 KB	Output is correct
65	Correct	476 ms	6016 KB	Output is correct
66	Correct	17 ms	6016 KB	Output is correct
67	Correct	476 ms	6016 KB	Output is correct
68	Correct	21 ms	6016 KB	Output is correct
69	Correct	455 ms	6140 KB	Output is correct
70	Correct	17 ms	6140 KB	Output is correct
71	Correct	452 ms	6140 KB	Output is correct
72	Correct	17 ms	6140 KB	Output is correct
73	Correct	244 ms	6140 KB	Output is correct
74	Correct	2334 ms	10492 KB	Output is correct
75	Correct	179 ms	11004 KB	Output is correct
76	Correct	2218 ms	12116 KB	Output is correct
77	Correct	149 ms	12688 KB	Output is correct
78	Correct	2226 ms	13744 KB	Output is correct
79	Correct	2267 ms	14504 KB	Output is correct
80	Correct	154 ms	15136 KB	Output is correct
81	Correct	146 ms	16064 KB	Output is correct
82	Correct	2202 ms	16748 KB	Output is correct
83	Correct	2221 ms	17768 KB	Output is correct
84	Correct	134 ms	18372 KB	Output is correct
85	Correct	2180 ms	19384 KB	Output is correct
86	Correct	146 ms	20020 KB	Output is correct
87	Correct	2241 ms	21156 KB	Output is correct
88	Correct	151 ms	21704 KB	Output is correct
89	Correct	2217 ms	22692 KB	Output is correct
90	Correct	147 ms	23324 KB	Output is correct
91	Correct	2256 ms	24388 KB	Output is correct
92	Correct	146 ms	24944 KB	Output is correct
93	Correct	2230 ms	25952 KB	Output is correct
94	Correct	59 ms	26180 KB	Output is correct
95	Correct	1133 ms	27644 KB	Output is correct
96	Correct	1152 ms	28408 KB	Output is correct
97	Correct	2231 ms	29240 KB	Output is correct
98	Correct	2279 ms	30048 KB	Output is correct

Submission #76371

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