oj.uz

Submission #386236

# Submission time Handle Problem Language Result Execution time Memory
386236 2021-04-06T07:45:25 Z Return_0 Graph (BOI20_graph) C++17
100 / 100
 175 ms 22756 KB 
#pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma,tune=native")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

typedef int ll;
typedef long double ld;
typedef pair <ll, ll> pll;

#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
	const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< (x) << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()

cl inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;

template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
	out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;

#define SIK { cout<< "NO\n"; exit(0); }

struct num {
	ll x, y;
	num () : x(0), y(0) {}
	num (cl &x, cl &y) : x(x), y(y) {}

	friend bool operator == (const num &a, const num &b) { return (a.x == b.x && a.y == b.y); }
	friend num operator + (const num &a, const num &b) { return num(a.x + b.x, a.y + b.y); }
	friend num operator - (const num &a, const num &b) { return num(a.x - b.x, a.y - b.y); }
	friend num operator - (cl &a, const num &b) { return num(-b.x, a - b.y); }
	friend double operator & (const num &a, const num &b) {
		num t = a - b;
		return t.y / double(-t.x);
	}
};

cl N = 1e5 + 7;

ll n, m;
double val [N], X, cur, ans;
bool mark [N], seen [N];
vector <pll> adj [N];
vector <ll> vec;
num a [N];

void dfs (ll v) {
	seen[v] = 1;
	vec.push_back(-(a[v].y * a[v].x));
	for (auto [u, w] : adj[v]) {
		if (X != inf) return;
		if (seen[u]) {
			num _ = w - a[v];
			if (_ == a[u]) continue;
			if (_.x == a[u].x) SIK;
			X = _ & a[u];
			return;
		} else {
			a[u] = w - a[v];

			dfs(u);
		}
	}
}

void dfs2 (ll v) {
	mark[v] = 1;
	cur += val[v];
	for (auto [u, w] : adj[v]) {
		if (mark[u]) {
			if (abs((val[v] + val[u]) - w) > 1e-7) SIK;
		} else {
			val[u] = w - val[v];
			dfs2(u);
		}
	}
}

int main ()
{
	ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	cout<< fixed << setprecision(7);

	cin>> n >> m;
	for (ll i = 1, v, u, w; i <= m; i++) {
		cin>> v >> u >> w;
		adj[v].push_back({u, w});
		adj[u].push_back({v, w});
	}

	for (ll i = 1; i <= n; i++) if (!mark[i]) {
		X = inf; a[i].x = 1; cur = 0; vec.clear();
		dfs(i);
		if (X == inf) {
			sort(All(vec));
			val[i] = vec[SZ(vec) / 2];
			dfs2(i);
			ans += cur;
		}
		else {
			val[i] = X;
			dfs2(i);
			ans += cur;
		}
	}

	cout<< "YES\n";
	output(1, n, val, 1);

	cerr<< "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";

	return 0;
}
/*
4 4
1 2 1
2 3 2
1 3 2
3 4 1

2 1
1 2 1

3 2
1 2 2
2 3 2

3 4
1 2 2
2 2 1
2 1 1
1 2 2

*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3436 KB answer = YES
2 Correct 3 ms 3436 KB answer = YES
3 Correct 3 ms 3436 KB answer = YES
4 Correct 3 ms 3564 KB answer = NO
5 Correct 3 ms 3436 KB answer = YES
6 Correct 3 ms 3436 KB answer = YES
7 Correct 3 ms 3436 KB answer = YES
8 Correct 3 ms 3436 KB answer = YES
9 Correct 3 ms 3436 KB answer = NO
10 Correct 3 ms 3436 KB answer = YES
11 Correct 3 ms 3436 KB answer = YES
12 Correct 4 ms 3456 KB answer = NO
13 Correct 3 ms 3436 KB answer = YES
14 Correct 3 ms 3436 KB answer = YES
15 Correct 4 ms 3436 KB answer = YES
16 Correct 3 ms 3564 KB answer = YES
17 Correct 3 ms 3436 KB answer = YES
18 Correct 3 ms 3436 KB answer = YES
19 Correct 3 ms 3456 KB answer = YES
20 Correct 4 ms 3436 KB answer = YES
21 Correct 3 ms 3436 KB answer = YES
22 Correct 3 ms 3436 KB answer = NO
23 Correct 4 ms 3436 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3436 KB answer = YES
2 Correct 3 ms 3436 KB answer = YES
3 Correct 3 ms 3436 KB answer = YES
4 Correct 3 ms 3564 KB answer = NO
5 Correct 3 ms 3436 KB answer = YES
6 Correct 3 ms 3436 KB answer = YES
7 Correct 3 ms 3436 KB answer = YES
8 Correct 3 ms 3436 KB answer = YES
9 Correct 3 ms 3436 KB answer = NO
10 Correct 3 ms 3436 KB answer = YES
11 Correct 3 ms 3436 KB answer = YES
12 Correct 4 ms 3456 KB answer = NO
13 Correct 3 ms 3436 KB answer = YES
14 Correct 3 ms 3436 KB answer = YES
15 Correct 4 ms 3436 KB answer = YES
16 Correct 3 ms 3564 KB answer = YES
17 Correct 3 ms 3436 KB answer = YES
18 Correct 3 ms 3436 KB answer = YES
19 Correct 3 ms 3456 KB answer = YES
20 Correct 4 ms 3436 KB answer = YES
21 Correct 3 ms 3436 KB answer = YES
22 Correct 3 ms 3436 KB answer = NO
23 Correct 4 ms 3436 KB answer = NO
24 Correct 3 ms 3436 KB answer = YES
25 Correct 4 ms 3436 KB answer = YES
26 Correct 3 ms 3436 KB answer = YES
27 Correct 3 ms 3436 KB answer = YES
28 Correct 3 ms 3436 KB answer = YES
29 Correct 3 ms 3436 KB answer = YES
30 Correct 4 ms 3436 KB answer = NO
31 Correct 3 ms 3456 KB answer = YES
32 Correct 3 ms 3436 KB answer = YES
33 Correct 3 ms 3436 KB answer = YES
34 Correct 4 ms 3436 KB answer = YES
35 Correct 3 ms 3436 KB answer = YES
36 Correct 3 ms 3436 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3436 KB answer = YES
2 Correct 3 ms 3436 KB answer = YES
3 Correct 3 ms 3436 KB answer = YES
4 Correct 3 ms 3564 KB answer = NO
5 Correct 3 ms 3436 KB answer = YES
6 Correct 3 ms 3436 KB answer = YES
7 Correct 3 ms 3436 KB answer = YES
8 Correct 3 ms 3436 KB answer = YES
9 Correct 3 ms 3436 KB answer = NO
10 Correct 3 ms 3436 KB answer = YES
11 Correct 3 ms 3436 KB answer = YES
12 Correct 4 ms 3456 KB answer = NO
13 Correct 3 ms 3436 KB answer = YES
14 Correct 3 ms 3436 KB answer = YES
15 Correct 4 ms 3436 KB answer = YES
16 Correct 3 ms 3564 KB answer = YES
17 Correct 3 ms 3436 KB answer = YES
18 Correct 3 ms 3436 KB answer = YES
19 Correct 3 ms 3456 KB answer = YES
20 Correct 4 ms 3436 KB answer = YES
21 Correct 3 ms 3436 KB answer = YES
22 Correct 3 ms 3436 KB answer = NO
23 Correct 4 ms 3436 KB answer = NO
24 Correct 3 ms 3436 KB answer = YES
25 Correct 4 ms 3436 KB answer = YES
26 Correct 3 ms 3436 KB answer = YES
27 Correct 3 ms 3436 KB answer = YES
28 Correct 3 ms 3436 KB answer = YES
29 Correct 3 ms 3436 KB answer = YES
30 Correct 4 ms 3436 KB answer = NO
31 Correct 3 ms 3456 KB answer = YES
32 Correct 3 ms 3436 KB answer = YES
33 Correct 3 ms 3436 KB answer = YES
34 Correct 4 ms 3436 KB answer = YES
35 Correct 3 ms 3436 KB answer = YES
36 Correct 3 ms 3436 KB answer = YES
37 Correct 3 ms 3436 KB answer = YES
38 Correct 3 ms 3436 KB answer = YES
39 Correct 4 ms 3564 KB answer = YES
40 Correct 4 ms 3564 KB answer = YES
41 Correct 3 ms 3564 KB answer = NO
42 Correct 4 ms 3564 KB answer = YES
43 Correct 4 ms 3564 KB answer = YES
44 Correct 4 ms 3564 KB answer = YES
45 Correct 4 ms 3564 KB answer = YES
46 Correct 4 ms 3564 KB answer = YES
47 Correct 4 ms 3564 KB answer = YES
48 Correct 4 ms 3564 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3436 KB answer = YES
2 Correct 3 ms 3436 KB answer = YES
3 Correct 3 ms 3436 KB answer = YES
4 Correct 3 ms 3564 KB answer = NO
5 Correct 3 ms 3436 KB answer = YES
6 Correct 3 ms 3436 KB answer = YES
7 Correct 3 ms 3436 KB answer = YES
8 Correct 3 ms 3436 KB answer = YES
9 Correct 3 ms 3436 KB answer = NO
10 Correct 3 ms 3436 KB answer = YES
11 Correct 3 ms 3436 KB answer = YES
12 Correct 4 ms 3456 KB answer = NO
13 Correct 3 ms 3436 KB answer = YES
14 Correct 3 ms 3436 KB answer = YES
15 Correct 4 ms 3436 KB answer = YES
16 Correct 3 ms 3564 KB answer = YES
17 Correct 3 ms 3436 KB answer = YES
18 Correct 3 ms 3436 KB answer = YES
19 Correct 3 ms 3456 KB answer = YES
20 Correct 4 ms 3436 KB answer = YES
21 Correct 3 ms 3436 KB answer = YES
22 Correct 3 ms 3436 KB answer = NO
23 Correct 4 ms 3436 KB answer = NO
24 Correct 3 ms 3436 KB answer = YES
25 Correct 4 ms 3436 KB answer = YES
26 Correct 3 ms 3436 KB answer = YES
27 Correct 3 ms 3436 KB answer = YES
28 Correct 3 ms 3436 KB answer = YES
29 Correct 3 ms 3436 KB answer = YES
30 Correct 4 ms 3436 KB answer = NO
31 Correct 3 ms 3456 KB answer = YES
32 Correct 3 ms 3436 KB answer = YES
33 Correct 3 ms 3436 KB answer = YES
34 Correct 4 ms 3436 KB answer = YES
35 Correct 3 ms 3436 KB answer = YES
36 Correct 3 ms 3436 KB answer = YES
37 Correct 3 ms 3436 KB answer = YES
38 Correct 3 ms 3436 KB answer = YES
39 Correct 4 ms 3564 KB answer = YES
40 Correct 4 ms 3564 KB answer = YES
41 Correct 3 ms 3564 KB answer = NO
42 Correct 4 ms 3564 KB answer = YES
43 Correct 4 ms 3564 KB answer = YES
44 Correct 4 ms 3564 KB answer = YES
45 Correct 4 ms 3564 KB answer = YES
46 Correct 4 ms 3564 KB answer = YES
47 Correct 4 ms 3564 KB answer = YES
48 Correct 4 ms 3564 KB answer = YES
49 Correct 12 ms 4332 KB answer = YES
50 Correct 13 ms 4716 KB answer = YES
51 Correct 13 ms 4716 KB answer = YES
52 Correct 7 ms 3948 KB answer = NO
53 Correct 4 ms 3564 KB answer = YES
54 Correct 6 ms 3692 KB answer = YES
55 Correct 8 ms 3948 KB answer = YES
56 Correct 12 ms 4332 KB answer = YES
57 Correct 12 ms 4204 KB answer = YES
58 Correct 11 ms 4204 KB answer = YES
59 Correct 11 ms 4204 KB answer = YES
60 Correct 12 ms 4204 KB answer = YES
61 Correct 8 ms 3948 KB answer = YES
62 Correct 64 ms 10604 KB answer = NO
63 Correct 71 ms 11184 KB answer = YES
64 Correct 67 ms 11116 KB answer = NO
65 Correct 77 ms 11244 KB answer = YES
66 Correct 5 ms 3692 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3436 KB answer = YES
2 Correct 3 ms 3436 KB answer = YES
3 Correct 3 ms 3436 KB answer = YES
4 Correct 3 ms 3564 KB answer = NO
5 Correct 3 ms 3436 KB answer = YES
6 Correct 3 ms 3436 KB answer = YES
7 Correct 3 ms 3436 KB answer = YES
8 Correct 3 ms 3436 KB answer = YES
9 Correct 3 ms 3436 KB answer = NO
10 Correct 3 ms 3436 KB answer = YES
11 Correct 3 ms 3436 KB answer = YES
12 Correct 4 ms 3456 KB answer = NO
13 Correct 3 ms 3436 KB answer = YES
14 Correct 3 ms 3436 KB answer = YES
15 Correct 4 ms 3436 KB answer = YES
16 Correct 3 ms 3564 KB answer = YES
17 Correct 3 ms 3436 KB answer = YES
18 Correct 3 ms 3436 KB answer = YES
19 Correct 3 ms 3456 KB answer = YES
20 Correct 4 ms 3436 KB answer = YES
21 Correct 3 ms 3436 KB answer = YES
22 Correct 3 ms 3436 KB answer = NO
23 Correct 4 ms 3436 KB answer = NO
24 Correct 3 ms 3436 KB answer = YES
25 Correct 4 ms 3436 KB answer = YES
26 Correct 3 ms 3436 KB answer = YES
27 Correct 3 ms 3436 KB answer = YES
28 Correct 3 ms 3436 KB answer = YES
29 Correct 3 ms 3436 KB answer = YES
30 Correct 4 ms 3436 KB answer = NO
31 Correct 3 ms 3456 KB answer = YES
32 Correct 3 ms 3436 KB answer = YES
33 Correct 3 ms 3436 KB answer = YES
34 Correct 4 ms 3436 KB answer = YES
35 Correct 3 ms 3436 KB answer = YES
36 Correct 3 ms 3436 KB answer = YES
37 Correct 3 ms 3436 KB answer = YES
38 Correct 3 ms 3436 KB answer = YES
39 Correct 4 ms 3564 KB answer = YES
40 Correct 4 ms 3564 KB answer = YES
41 Correct 3 ms 3564 KB answer = NO
42 Correct 4 ms 3564 KB answer = YES
43 Correct 4 ms 3564 KB answer = YES
44 Correct 4 ms 3564 KB answer = YES
45 Correct 4 ms 3564 KB answer = YES
46 Correct 4 ms 3564 KB answer = YES
47 Correct 4 ms 3564 KB answer = YES
48 Correct 4 ms 3564 KB answer = YES
49 Correct 12 ms 4332 KB answer = YES
50 Correct 13 ms 4716 KB answer = YES
51 Correct 13 ms 4716 KB answer = YES
52 Correct 7 ms 3948 KB answer = NO
53 Correct 4 ms 3564 KB answer = YES
54 Correct 6 ms 3692 KB answer = YES
55 Correct 8 ms 3948 KB answer = YES
56 Correct 12 ms 4332 KB answer = YES
57 Correct 12 ms 4204 KB answer = YES
58 Correct 11 ms 4204 KB answer = YES
59 Correct 11 ms 4204 KB answer = YES
60 Correct 12 ms 4204 KB answer = YES
61 Correct 8 ms 3948 KB answer = YES
62 Correct 64 ms 10604 KB answer = NO
63 Correct 71 ms 11184 KB answer = YES
64 Correct 67 ms 11116 KB answer = NO
65 Correct 77 ms 11244 KB answer = YES
66 Correct 5 ms 3692 KB answer = YES
67 Correct 105 ms 18404 KB answer = YES
68 Correct 97 ms 18280 KB answer = YES
69 Correct 90 ms 18276 KB answer = YES
70 Correct 134 ms 22756 KB answer = YES
71 Correct 94 ms 18276 KB answer = YES
72 Correct 122 ms 11108 KB answer = YES
73 Correct 111 ms 10856 KB answer = YES
74 Correct 77 ms 12012 KB answer = YES
75 Correct 30 ms 8684 KB answer = NO
76 Correct 15 ms 4460 KB answer = YES
77 Correct 28 ms 5484 KB answer = YES
78 Correct 46 ms 6768 KB answer = YES
79 Correct 107 ms 10092 KB answer = YES
80 Correct 78 ms 12136 KB answer = YES
81 Correct 54 ms 13288 KB answer = NO
82 Correct 124 ms 17512 KB answer = YES
83 Correct 153 ms 18532 KB answer = YES
84 Correct 151 ms 18404 KB answer = YES
85 Correct 105 ms 18404 KB answer = YES
86 Correct 102 ms 18532 KB answer = YES
87 Correct 70 ms 11372 KB answer = NO
88 Correct 145 ms 13672 KB answer = YES
89 Correct 101 ms 9964 KB answer = YES
90 Correct 100 ms 9984 KB answer = YES
91 Correct 107 ms 9964 KB answer = YES
92 Correct 53 ms 7404 KB answer = YES
93 Correct 51 ms 7276 KB answer = YES
94 Correct 68 ms 16424 KB answer = NO
95 Correct 54 ms 8940 KB answer = NO
96 Correct 175 ms 19052 KB answer = YES
97 Correct 42 ms 16356 KB answer = NO