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Submission #162071

# Submission time Handle Problem Language Result Execution time Memory
162071 2019-11-06T08:42:42 Z amoo_safar Tug of War (BOI15_tug) C++14
100 / 100
 566 ms 7160 KB 
#include <bits/stdc++.h>

#define pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()

using namespace std;

typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<ll, ll> pll;

const ll Mod = 1e9 + 7;
const int Maxn = 3e4 + 10;
const ll Inf = 1000000000000000LL;

ll s[Maxn << 1], deg[Maxn << 1];

vector<pll> G[Maxn << 1];

queue<ll> q;

ll mk[Maxn << 1];
ll sm = 0, t = 1;
void DFS(ll u){
	sm += 2;
	sm -= G[u].size();
	mk[u] = t;
	for(auto adj : G[u]){
		if(mk[adj.F] == 0) DFS(adj.F);
	}
}
ll del[Maxn << 1];


vector<ll> V;
void DFS2(ll u, ll p, ll p2){
	mk[u] = 1;
	for(auto e : G[u]){
		if(del[e.F]) continue;
		if(e.F == p || e.F == p2) continue;
		V.pb(s[e.S]);
		if(!mk[e.F]) DFS2(e.F, u, p2);
	}
}


bitset<300010> bt;

int main(){
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	ll n, k;
	cin >> n >> k;
	ll l, r;
	for(int i = 0; i < n + n; i++){
		cin >> l >> r >> s[i];
		r += n;
		G[l].pb({r, i});
		G[r].pb({l, i});
		deg[l] ++;
		deg[r] ++;
	}
	for(int i = 1; i <= n + n; i++){
		if(!mk[i]){
			DFS(i);
			t ++;
			if(sm != 0) return cout << "NO", 0;
		}
	}
	
	ll S = 0;
	
	for(int i = 1; i <= n + n; i++){
		if(deg[i] == 1) q.push(i);
	}
	while(q.size()){
		ll fr = q.front(); q.pop();
		del[fr] = 1;
		for(auto e : G[fr]){
			if(del[e.F]) continue;
			if(fr > n) S -= s[e.S];
			else S += s[e.S];
			
			deg[e.F] --;
			if(deg[e.F] == 1){
				q.push(e.F);
			}
		}
	}
	//cerr << S << '\n';
	memset(mk, 0, sizeof mk);
	bt[0] = 1;
	ll A = 0;
	for(int i = 1; i <= n + n; i++){
		if(del[i] || mk[i]) continue;
		V.clear();
		DFS2(i, 0, i);
		
		ll cnt = 0;
		for(auto x : V) cnt = x - cnt;
		//cerr << cnt << '\n';
		cnt = abs(cnt);
		bt |= (bt << cnt);
		A += cnt;
	}
	for(int i = 0; i <= 300000; i++){
		if(bt[i]){
			ll res = S + i - (A - i);
			if(abs(res) <= k) return cout << "YES\n", 0;
		}
	}
	
	cout << "NO";
	return 0;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2296 KB Output is correct
2 Correct 4 ms 2296 KB Output is correct
3 Correct 5 ms 2300 KB Output is correct
4 Correct 4 ms 2296 KB Output is correct
5 Correct 5 ms 2296 KB Output is correct
6 Correct 5 ms 2296 KB Output is correct
7 Correct 4 ms 2296 KB Output is correct
8 Correct 4 ms 2296 KB Output is correct
9 Correct 5 ms 2296 KB Output is correct
10 Correct 4 ms 2296 KB Output is correct
11 Correct 4 ms 2296 KB Output is correct
12 Correct 4 ms 2424 KB Output is correct
13 Correct 4 ms 2356 KB Output is correct
14 Correct 4 ms 2300 KB Output is correct
15 Correct 4 ms 2296 KB Output is correct
16 Correct 5 ms 2296 KB Output is correct
17 Correct 4 ms 2296 KB Output is correct
18 Correct 4 ms 2296 KB Output is correct
19 Correct 4 ms 2296 KB Output is correct
20 Correct 4 ms 2296 KB Output is correct
21 Correct 3 ms 1784 KB Output is correct
22 Correct 4 ms 2296 KB Output is correct
23 Correct 4 ms 2316 KB Output is correct
24 Correct 4 ms 2296 KB Output is correct
25 Correct 5 ms 2296 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2296 KB Output is correct
2 Correct 4 ms 2296 KB Output is correct
3 Correct 5 ms 2300 KB Output is correct
4 Correct 4 ms 2296 KB Output is correct
5 Correct 5 ms 2296 KB Output is correct
6 Correct 5 ms 2296 KB Output is correct
7 Correct 4 ms 2296 KB Output is correct
8 Correct 4 ms 2296 KB Output is correct
9 Correct 5 ms 2296 KB Output is correct
10 Correct 4 ms 2296 KB Output is correct
11 Correct 4 ms 2296 KB Output is correct
12 Correct 4 ms 2424 KB Output is correct
13 Correct 4 ms 2356 KB Output is correct
14 Correct 4 ms 2300 KB Output is correct
15 Correct 4 ms 2296 KB Output is correct
16 Correct 5 ms 2296 KB Output is correct
17 Correct 4 ms 2296 KB Output is correct
18 Correct 4 ms 2296 KB Output is correct
19 Correct 4 ms 2296 KB Output is correct
20 Correct 4 ms 2296 KB Output is correct
21 Correct 3 ms 1784 KB Output is correct
22 Correct 4 ms 2296 KB Output is correct
23 Correct 4 ms 2316 KB Output is correct
24 Correct 4 ms 2296 KB Output is correct
25 Correct 5 ms 2296 KB Output is correct
26 Correct 39 ms 2712 KB Output is correct
27 Correct 12 ms 2756 KB Output is correct
28 Correct 39 ms 2680 KB Output is correct
29 Correct 12 ms 2680 KB Output is correct
30 Correct 39 ms 2716 KB Output is correct
31 Correct 11 ms 2680 KB Output is correct
32 Correct 52 ms 2680 KB Output is correct
33 Correct 11 ms 2660 KB Output is correct
34 Correct 9 ms 2680 KB Output is correct
35 Correct 12 ms 2680 KB Output is correct
36 Correct 39 ms 2808 KB Output is correct
37 Correct 12 ms 2680 KB Output is correct
38 Correct 40 ms 2716 KB Output is correct
39 Correct 11 ms 2680 KB Output is correct
40 Correct 38 ms 2712 KB Output is correct
41 Correct 11 ms 2680 KB Output is correct
42 Correct 39 ms 2680 KB Output is correct
43 Correct 11 ms 2680 KB Output is correct
44 Correct 38 ms 2680 KB Output is correct
45 Correct 11 ms 2680 KB Output is correct
46 Correct 40 ms 2680 KB Output is correct
47 Correct 6 ms 2168 KB Output is correct
48 Correct 23 ms 2680 KB Output is correct
49 Correct 23 ms 2808 KB Output is correct
50 Correct 43 ms 2680 KB Output is correct
51 Correct 40 ms 2680 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 3840 KB Output is correct
2 Correct 14 ms 3440 KB Output is correct
3 Correct 123 ms 3832 KB Output is correct
4 Correct 14 ms 3320 KB Output is correct
5 Correct 106 ms 3832 KB Output is correct
6 Correct 14 ms 3448 KB Output is correct
7 Correct 108 ms 3832 KB Output is correct
8 Correct 15 ms 3448 KB Output is correct
9 Correct 113 ms 3832 KB Output is correct
10 Correct 15 ms 3448 KB Output is correct
11 Correct 109 ms 3836 KB Output is correct
12 Correct 14 ms 3448 KB Output is correct
13 Correct 104 ms 3832 KB Output is correct
14 Correct 107 ms 3832 KB Output is correct
15 Correct 15 ms 3320 KB Output is correct
16 Correct 110 ms 3832 KB Output is correct
17 Correct 14 ms 3452 KB Output is correct
18 Correct 107 ms 3832 KB Output is correct
19 Correct 14 ms 3320 KB Output is correct
20 Correct 107 ms 3960 KB Output is correct
21 Correct 15 ms 3448 KB Output is correct
22 Correct 62 ms 4092 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2296 KB Output is correct
2 Correct 4 ms 2296 KB Output is correct
3 Correct 5 ms 2300 KB Output is correct
4 Correct 4 ms 2296 KB Output is correct
5 Correct 5 ms 2296 KB Output is correct
6 Correct 5 ms 2296 KB Output is correct
7 Correct 4 ms 2296 KB Output is correct
8 Correct 4 ms 2296 KB Output is correct
9 Correct 5 ms 2296 KB Output is correct
10 Correct 4 ms 2296 KB Output is correct
11 Correct 4 ms 2296 KB Output is correct
12 Correct 4 ms 2424 KB Output is correct
13 Correct 4 ms 2356 KB Output is correct
14 Correct 4 ms 2300 KB Output is correct
15 Correct 4 ms 2296 KB Output is correct
16 Correct 5 ms 2296 KB Output is correct
17 Correct 4 ms 2296 KB Output is correct
18 Correct 4 ms 2296 KB Output is correct
19 Correct 4 ms 2296 KB Output is correct
20 Correct 4 ms 2296 KB Output is correct
21 Correct 3 ms 1784 KB Output is correct
22 Correct 4 ms 2296 KB Output is correct
23 Correct 4 ms 2316 KB Output is correct
24 Correct 4 ms 2296 KB Output is correct
25 Correct 5 ms 2296 KB Output is correct
26 Correct 39 ms 2712 KB Output is correct
27 Correct 12 ms 2756 KB Output is correct
28 Correct 39 ms 2680 KB Output is correct
29 Correct 12 ms 2680 KB Output is correct
30 Correct 39 ms 2716 KB Output is correct
31 Correct 11 ms 2680 KB Output is correct
32 Correct 52 ms 2680 KB Output is correct
33 Correct 11 ms 2660 KB Output is correct
34 Correct 9 ms 2680 KB Output is correct
35 Correct 12 ms 2680 KB Output is correct
36 Correct 39 ms 2808 KB Output is correct
37 Correct 12 ms 2680 KB Output is correct
38 Correct 40 ms 2716 KB Output is correct
39 Correct 11 ms 2680 KB Output is correct
40 Correct 38 ms 2712 KB Output is correct
41 Correct 11 ms 2680 KB Output is correct
42 Correct 39 ms 2680 KB Output is correct
43 Correct 11 ms 2680 KB Output is correct
44 Correct 38 ms 2680 KB Output is correct
45 Correct 11 ms 2680 KB Output is correct
46 Correct 40 ms 2680 KB Output is correct
47 Correct 6 ms 2168 KB Output is correct
48 Correct 23 ms 2680 KB Output is correct
49 Correct 23 ms 2808 KB Output is correct
50 Correct 43 ms 2680 KB Output is correct
51 Correct 40 ms 2680 KB Output is correct
52 Correct 110 ms 3840 KB Output is correct
53 Correct 14 ms 3440 KB Output is correct
54 Correct 123 ms 3832 KB Output is correct
55 Correct 14 ms 3320 KB Output is correct
56 Correct 106 ms 3832 KB Output is correct
57 Correct 14 ms 3448 KB Output is correct
58 Correct 108 ms 3832 KB Output is correct
59 Correct 15 ms 3448 KB Output is correct
60 Correct 113 ms 3832 KB Output is correct
61 Correct 15 ms 3448 KB Output is correct
62 Correct 109 ms 3836 KB Output is correct
63 Correct 14 ms 3448 KB Output is correct
64 Correct 104 ms 3832 KB Output is correct
65 Correct 107 ms 3832 KB Output is correct
66 Correct 15 ms 3320 KB Output is correct
67 Correct 110 ms 3832 KB Output is correct
68 Correct 14 ms 3452 KB Output is correct
69 Correct 107 ms 3832 KB Output is correct
70 Correct 14 ms 3320 KB Output is correct
71 Correct 107 ms 3960 KB Output is correct
72 Correct 15 ms 3448 KB Output is correct
73 Correct 62 ms 4092 KB Output is correct
74 Correct 536 ms 6520 KB Output is correct
75 Correct 81 ms 6584 KB Output is correct
76 Correct 536 ms 6624 KB Output is correct
77 Correct 78 ms 6648 KB Output is correct
78 Correct 532 ms 6648 KB Output is correct
79 Correct 543 ms 6520 KB Output is correct
80 Correct 79 ms 6520 KB Output is correct
81 Correct 79 ms 6548 KB Output is correct
82 Correct 528 ms 6236 KB Output is correct
83 Correct 553 ms 6392 KB Output is correct
84 Correct 74 ms 6392 KB Output is correct
85 Correct 539 ms 6416 KB Output is correct
86 Correct 77 ms 6392 KB Output is correct
87 Correct 545 ms 6520 KB Output is correct
88 Correct 78 ms 6392 KB Output is correct
89 Correct 533 ms 6392 KB Output is correct
90 Correct 72 ms 6392 KB Output is correct
91 Correct 566 ms 6392 KB Output is correct
92 Correct 83 ms 6392 KB Output is correct
93 Correct 543 ms 6392 KB Output is correct
94 Correct 40 ms 5880 KB Output is correct
95 Correct 297 ms 7160 KB Output is correct
96 Correct 311 ms 7032 KB Output is correct
97 Correct 547 ms 6392 KB Output is correct
98 Correct 556 ms 6392 KB Output is correct