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Submission #722740

# Submission time Handle Problem Language Result Execution time Memory
722740 2023-04-12T18:47:42 Z gagik_2007 Graph (BOI20_graph) C++17
100 / 100
 396 ms 28388 KB 
#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
#include <cmath>
#include <chrono>
#include <ctime>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <limits>
#include <iomanip>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <functional>
#include <random>
#include <cassert>
using namespace std;

typedef long long ll;
typedef long double ld;

#define ff first
#define ss second

ll ttt;
const ll INF = 1e18;
const ll MOD = 1e9 + 7;
const ll N = 200007;
const ll M = 307;
const ll LG = 31;
ll n, m, k;
vector<pair<int, int>>g[N];
bool used[N];
bool neg[N]; // if the x in the value formula has the negative sign
ll val[N]; // if neg[v]: value = val[v] - x, else: value = x + val[v]
bool defined_value[N];
ll vlx2[N];
bool is_root[N];
vector<int>cmp[N];

void dfs(int v, int par, int root) {
	//cout << v << endl;
	cmp[root].push_back(v);
	for (auto e : g[v]) {
		int to = e.ff;
		int c = e.ss;
		if (to != par) {
			if (!used[to]) {
				if (neg[v]) {
					val[to] = c - val[v];
				}
				else {
					neg[to] = true;
					val[to] = c - val[v];
				}
				used[to] = true;
				dfs(to, v, root);
			}
			else {
				if (neg[v] == neg[to]) {
					if (neg[v]) {
						if (!defined_value[root]) {
							vlx2[root] = val[v] + val[to] - c;
							defined_value[root] = true;
							//cout << "Defined: " << vlx2[root] << endl;
						}
						else if (vlx2[root] != val[v] + val[to] - c) {
							cout << "NO\n";
							exit(0);
						}
					}
					else {
						if (!defined_value[root]) {
							vlx2[root] = c - val[v] - val[to];
							defined_value[root] = true;
							//cout << "Defined: " << vlx2[root] << endl;
						}
						else if (vlx2[root] != c - val[v] - val[to]) {
							cout << "NO\n";
							exit(0);
						}
					}
				}
				else {
					if (val[v] + val[to] != c) {
						cout << "NO\n";
						exit(0);
					}
				}
			}
		}
	}
}

ll get_sum(ll curvlx2, int root) {
	//cout << "PROCESSING: " << curvlx2 << endl;
	ll sum = 0;
	for (int v : cmp[root]) {
		ll vl = 0;
		if (neg[v]) {
			vl = val[v] * 2 - curvlx2;
		}
		else {
			vl = val[v] * 2 + curvlx2;
		}
		//cout << vl << " ";
		sum += abs(vl);
	}
	//cout << endl;
	return sum;
}

int main() {
	//freopen("in.txt", "r", stdin);
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin >> n >> m;
	for (int i = 0; i < m; i++) {
		int x, y;
		int tp;
		cin >> x >> y >> tp;
		g[x].push_back({ y,tp });
		g[y].push_back({ x,tp });
	}
	for (int v = 1; v <= n; v++) {
		if (!used[v]) {
			used[v] = true;
			is_root[v] = true;
			dfs(v, -1, v);
		}
	}
	cout << setprecision(12) << fixed;
	cout << "YES\n";
	vector<ld>ans(n + 1, 0);
	for (int u = 1; u <= n; u++) {
		if (is_root[u]) {
			if (defined_value[u]) {
				for (int v : cmp[u]) {
					ld vl = 0;
					if (neg[v]) {
						vl = val[v] - ld(vlx2[u]) / 2.0;
					}
					else {
						vl = val[v] + ld(vlx2[u]) / 2.0;
					}
					ans[v] = vl;
				}
			}
			else {
				pair<ll, ll>mn = { INF,INF };
				for (ll cur = -M; cur <= M; cur++) {
					mn = min(mn, { get_sum(cur,u),cur });
				}
				vlx2[u] = mn.ss;
				for (int v : cmp[u]) {
					ld vl = 0;
					if (neg[v]) {
						vl = val[v] - ld(vlx2[u]) / 2.0;
					}
					else {
						vl = val[v] + ld(vlx2[u]) / 2.0;
					}
					ans[v] = vl;
				}
			}
		}
	}
	for (int v = 1; v <= n; v++) {
		cout << ans[v] << " ";
	}
	cout << endl;
}

/// ---- - --------  ------ -------- -- - - -
/// Just a reminder. Ubuntu password is I O I
/// ---- - --------  ------ -------- -- - - -

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB answer = YES
2 Correct 6 ms 9684 KB answer = YES
3 Correct 6 ms 9684 KB answer = YES
4 Correct 5 ms 9684 KB answer = NO
5 Correct 5 ms 9684 KB answer = YES
6 Correct 5 ms 9684 KB answer = YES
7 Correct 6 ms 9684 KB answer = YES
8 Correct 5 ms 9684 KB answer = YES
9 Correct 5 ms 9684 KB answer = NO
10 Correct 4 ms 9684 KB answer = YES
11 Correct 5 ms 9692 KB answer = YES
12 Correct 7 ms 9684 KB answer = NO
13 Correct 7 ms 9720 KB answer = YES
14 Correct 5 ms 9700 KB answer = YES
15 Correct 5 ms 9684 KB answer = YES
16 Correct 5 ms 9684 KB answer = YES
17 Correct 6 ms 9684 KB answer = YES
18 Correct 5 ms 9684 KB answer = YES
19 Correct 5 ms 9684 KB answer = YES
20 Correct 5 ms 9684 KB answer = YES
21 Correct 5 ms 9720 KB answer = YES
22 Correct 6 ms 9684 KB answer = NO
23 Correct 6 ms 9684 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB answer = YES
2 Correct 6 ms 9684 KB answer = YES
3 Correct 6 ms 9684 KB answer = YES
4 Correct 5 ms 9684 KB answer = NO
5 Correct 5 ms 9684 KB answer = YES
6 Correct 5 ms 9684 KB answer = YES
7 Correct 6 ms 9684 KB answer = YES
8 Correct 5 ms 9684 KB answer = YES
9 Correct 5 ms 9684 KB answer = NO
10 Correct 4 ms 9684 KB answer = YES
11 Correct 5 ms 9692 KB answer = YES
12 Correct 7 ms 9684 KB answer = NO
13 Correct 7 ms 9720 KB answer = YES
14 Correct 5 ms 9700 KB answer = YES
15 Correct 5 ms 9684 KB answer = YES
16 Correct 5 ms 9684 KB answer = YES
17 Correct 6 ms 9684 KB answer = YES
18 Correct 5 ms 9684 KB answer = YES
19 Correct 5 ms 9684 KB answer = YES
20 Correct 5 ms 9684 KB answer = YES
21 Correct 5 ms 9720 KB answer = YES
22 Correct 6 ms 9684 KB answer = NO
23 Correct 6 ms 9684 KB answer = NO
24 Correct 6 ms 9684 KB answer = YES
25 Correct 6 ms 9684 KB answer = YES
26 Correct 5 ms 9684 KB answer = YES
27 Correct 6 ms 9676 KB answer = YES
28 Correct 5 ms 9684 KB answer = YES
29 Correct 5 ms 9684 KB answer = YES
30 Correct 5 ms 9684 KB answer = NO
31 Correct 5 ms 9696 KB answer = YES
32 Correct 5 ms 9684 KB answer = YES
33 Correct 5 ms 9684 KB answer = YES
34 Correct 6 ms 9684 KB answer = YES
35 Correct 5 ms 9684 KB answer = YES
36 Correct 6 ms 9684 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB answer = YES
2 Correct 6 ms 9684 KB answer = YES
3 Correct 6 ms 9684 KB answer = YES
4 Correct 5 ms 9684 KB answer = NO
5 Correct 5 ms 9684 KB answer = YES
6 Correct 5 ms 9684 KB answer = YES
7 Correct 6 ms 9684 KB answer = YES
8 Correct 5 ms 9684 KB answer = YES
9 Correct 5 ms 9684 KB answer = NO
10 Correct 4 ms 9684 KB answer = YES
11 Correct 5 ms 9692 KB answer = YES
12 Correct 7 ms 9684 KB answer = NO
13 Correct 7 ms 9720 KB answer = YES
14 Correct 5 ms 9700 KB answer = YES
15 Correct 5 ms 9684 KB answer = YES
16 Correct 5 ms 9684 KB answer = YES
17 Correct 6 ms 9684 KB answer = YES
18 Correct 5 ms 9684 KB answer = YES
19 Correct 5 ms 9684 KB answer = YES
20 Correct 5 ms 9684 KB answer = YES
21 Correct 5 ms 9720 KB answer = YES
22 Correct 6 ms 9684 KB answer = NO
23 Correct 6 ms 9684 KB answer = NO
24 Correct 6 ms 9684 KB answer = YES
25 Correct 6 ms 9684 KB answer = YES
26 Correct 5 ms 9684 KB answer = YES
27 Correct 6 ms 9676 KB answer = YES
28 Correct 5 ms 9684 KB answer = YES
29 Correct 5 ms 9684 KB answer = YES
30 Correct 5 ms 9684 KB answer = NO
31 Correct 5 ms 9696 KB answer = YES
32 Correct 5 ms 9684 KB answer = YES
33 Correct 5 ms 9684 KB answer = YES
34 Correct 6 ms 9684 KB answer = YES
35 Correct 5 ms 9684 KB answer = YES
36 Correct 6 ms 9684 KB answer = YES
37 Correct 5 ms 9684 KB answer = YES
38 Correct 5 ms 9684 KB answer = YES
39 Correct 6 ms 9756 KB answer = YES
40 Correct 6 ms 9812 KB answer = YES
41 Correct 6 ms 9684 KB answer = NO
42 Correct 7 ms 9812 KB answer = YES
43 Correct 7 ms 9812 KB answer = YES
44 Correct 8 ms 9812 KB answer = YES
45 Correct 6 ms 9812 KB answer = YES
46 Correct 6 ms 9684 KB answer = YES
47 Correct 5 ms 9812 KB answer = YES
48 Correct 6 ms 9940 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB answer = YES
2 Correct 6 ms 9684 KB answer = YES
3 Correct 6 ms 9684 KB answer = YES
4 Correct 5 ms 9684 KB answer = NO
5 Correct 5 ms 9684 KB answer = YES
6 Correct 5 ms 9684 KB answer = YES
7 Correct 6 ms 9684 KB answer = YES
8 Correct 5 ms 9684 KB answer = YES
9 Correct 5 ms 9684 KB answer = NO
10 Correct 4 ms 9684 KB answer = YES
11 Correct 5 ms 9692 KB answer = YES
12 Correct 7 ms 9684 KB answer = NO
13 Correct 7 ms 9720 KB answer = YES
14 Correct 5 ms 9700 KB answer = YES
15 Correct 5 ms 9684 KB answer = YES
16 Correct 5 ms 9684 KB answer = YES
17 Correct 6 ms 9684 KB answer = YES
18 Correct 5 ms 9684 KB answer = YES
19 Correct 5 ms 9684 KB answer = YES
20 Correct 5 ms 9684 KB answer = YES
21 Correct 5 ms 9720 KB answer = YES
22 Correct 6 ms 9684 KB answer = NO
23 Correct 6 ms 9684 KB answer = NO
24 Correct 6 ms 9684 KB answer = YES
25 Correct 6 ms 9684 KB answer = YES
26 Correct 5 ms 9684 KB answer = YES
27 Correct 6 ms 9676 KB answer = YES
28 Correct 5 ms 9684 KB answer = YES
29 Correct 5 ms 9684 KB answer = YES
30 Correct 5 ms 9684 KB answer = NO
31 Correct 5 ms 9696 KB answer = YES
32 Correct 5 ms 9684 KB answer = YES
33 Correct 5 ms 9684 KB answer = YES
34 Correct 6 ms 9684 KB answer = YES
35 Correct 5 ms 9684 KB answer = YES
36 Correct 6 ms 9684 KB answer = YES
37 Correct 5 ms 9684 KB answer = YES
38 Correct 5 ms 9684 KB answer = YES
39 Correct 6 ms 9756 KB answer = YES
40 Correct 6 ms 9812 KB answer = YES
41 Correct 6 ms 9684 KB answer = NO
42 Correct 7 ms 9812 KB answer = YES
43 Correct 7 ms 9812 KB answer = YES
44 Correct 8 ms 9812 KB answer = YES
45 Correct 6 ms 9812 KB answer = YES
46 Correct 6 ms 9684 KB answer = YES
47 Correct 5 ms 9812 KB answer = YES
48 Correct 6 ms 9940 KB answer = YES
49 Correct 34 ms 10612 KB answer = YES
50 Correct 15 ms 10964 KB answer = YES
51 Correct 24 ms 10964 KB answer = YES
52 Correct 9 ms 10228 KB answer = NO
53 Correct 8 ms 9812 KB answer = YES
54 Correct 10 ms 9940 KB answer = YES
55 Correct 18 ms 10196 KB answer = YES
56 Correct 36 ms 10596 KB answer = YES
57 Correct 27 ms 10580 KB answer = YES
58 Correct 33 ms 10448 KB answer = YES
59 Correct 14 ms 10452 KB answer = YES
60 Correct 37 ms 10500 KB answer = YES
61 Correct 9 ms 10196 KB answer = YES
62 Correct 53 ms 14400 KB answer = NO
63 Correct 60 ms 15340 KB answer = YES
64 Correct 60 ms 15052 KB answer = NO
65 Correct 60 ms 15328 KB answer = YES
66 Correct 9 ms 9876 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB answer = YES
2 Correct 6 ms 9684 KB answer = YES
3 Correct 6 ms 9684 KB answer = YES
4 Correct 5 ms 9684 KB answer = NO
5 Correct 5 ms 9684 KB answer = YES
6 Correct 5 ms 9684 KB answer = YES
7 Correct 6 ms 9684 KB answer = YES
8 Correct 5 ms 9684 KB answer = YES
9 Correct 5 ms 9684 KB answer = NO
10 Correct 4 ms 9684 KB answer = YES
11 Correct 5 ms 9692 KB answer = YES
12 Correct 7 ms 9684 KB answer = NO
13 Correct 7 ms 9720 KB answer = YES
14 Correct 5 ms 9700 KB answer = YES
15 Correct 5 ms 9684 KB answer = YES
16 Correct 5 ms 9684 KB answer = YES
17 Correct 6 ms 9684 KB answer = YES
18 Correct 5 ms 9684 KB answer = YES
19 Correct 5 ms 9684 KB answer = YES
20 Correct 5 ms 9684 KB answer = YES
21 Correct 5 ms 9720 KB answer = YES
22 Correct 6 ms 9684 KB answer = NO
23 Correct 6 ms 9684 KB answer = NO
24 Correct 6 ms 9684 KB answer = YES
25 Correct 6 ms 9684 KB answer = YES
26 Correct 5 ms 9684 KB answer = YES
27 Correct 6 ms 9676 KB answer = YES
28 Correct 5 ms 9684 KB answer = YES
29 Correct 5 ms 9684 KB answer = YES
30 Correct 5 ms 9684 KB answer = NO
31 Correct 5 ms 9696 KB answer = YES
32 Correct 5 ms 9684 KB answer = YES
33 Correct 5 ms 9684 KB answer = YES
34 Correct 6 ms 9684 KB answer = YES
35 Correct 5 ms 9684 KB answer = YES
36 Correct 6 ms 9684 KB answer = YES
37 Correct 5 ms 9684 KB answer = YES
38 Correct 5 ms 9684 KB answer = YES
39 Correct 6 ms 9756 KB answer = YES
40 Correct 6 ms 9812 KB answer = YES
41 Correct 6 ms 9684 KB answer = NO
42 Correct 7 ms 9812 KB answer = YES
43 Correct 7 ms 9812 KB answer = YES
44 Correct 8 ms 9812 KB answer = YES
45 Correct 6 ms 9812 KB answer = YES
46 Correct 6 ms 9684 KB answer = YES
47 Correct 5 ms 9812 KB answer = YES
48 Correct 6 ms 9940 KB answer = YES
49 Correct 34 ms 10612 KB answer = YES
50 Correct 15 ms 10964 KB answer = YES
51 Correct 24 ms 10964 KB answer = YES
52 Correct 9 ms 10228 KB answer = NO
53 Correct 8 ms 9812 KB answer = YES
54 Correct 10 ms 9940 KB answer = YES
55 Correct 18 ms 10196 KB answer = YES
56 Correct 36 ms 10596 KB answer = YES
57 Correct 27 ms 10580 KB answer = YES
58 Correct 33 ms 10448 KB answer = YES
59 Correct 14 ms 10452 KB answer = YES
60 Correct 37 ms 10500 KB answer = YES
61 Correct 9 ms 10196 KB answer = YES
62 Correct 53 ms 14400 KB answer = NO
63 Correct 60 ms 15340 KB answer = YES
64 Correct 60 ms 15052 KB answer = NO
65 Correct 60 ms 15328 KB answer = YES
66 Correct 9 ms 9876 KB answer = YES
67 Correct 189 ms 25372 KB answer = YES
68 Correct 167 ms 25272 KB answer = YES
69 Correct 89 ms 25248 KB answer = YES
70 Correct 116 ms 28388 KB answer = YES
71 Correct 87 ms 25236 KB answer = YES
72 Correct 396 ms 18084 KB answer = YES
73 Correct 121 ms 17996 KB answer = YES
74 Correct 70 ms 18844 KB answer = YES
75 Correct 30 ms 14612 KB answer = NO
76 Correct 42 ms 10792 KB answer = YES
77 Correct 95 ms 11800 KB answer = YES
78 Correct 149 ms 13380 KB answer = YES
79 Correct 338 ms 16900 KB answer = YES
80 Correct 152 ms 18888 KB answer = YES
81 Correct 42 ms 18296 KB answer = NO
82 Correct 137 ms 24644 KB answer = YES
83 Correct 113 ms 25492 KB answer = YES
84 Correct 288 ms 25272 KB answer = YES
85 Correct 188 ms 25468 KB answer = YES
86 Correct 94 ms 25456 KB answer = YES
87 Correct 52 ms 16392 KB answer = NO
88 Correct 127 ms 20928 KB answer = YES
89 Correct 108 ms 18644 KB answer = YES
90 Correct 103 ms 18660 KB answer = YES
91 Correct 125 ms 18668 KB answer = YES
92 Correct 61 ms 14032 KB answer = YES
93 Correct 81 ms 14060 KB answer = YES
94 Correct 66 ms 22252 KB answer = NO
95 Correct 54 ms 14036 KB answer = NO
96 Correct 254 ms 26140 KB answer = YES
97 Correct 41 ms 22256 KB answer = NO