oj.uz

Submission #722724

# Submission time Handle Problem Language Result Execution time Memory
722724 2023-04-12T18:16:59 Z gagik_2007 Graph (BOI20_graph) C++17
0 / 100
 3 ms 5032 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 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 = false;
ll vlx2 = 0;

void dfs(int v, int par) {
	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);
			}
			else {
				if (neg[v] == neg[to]) {
					if (neg[v]) {
						if (!defined_value) {
							vlx2 = val[v] + val[to] - c;
							defined_value = true;
						}
						else if (vlx2 != val[v] + val[to] - c) {
							cout << "NO\n";
							exit(0);
						}
					}
					else {
						if (!defined_value) {
							vlx2 = c - val[v] - val[to];
							defined_value = true;
						}
						else if (vlx2 != 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) {
	ll sum = 0;
	for (int v = 1; v <= n; v++) {
		ll vl = 0;
		if (neg[v]) {
			vl = val[v] * 2 - vlx2;
		}
		else {
			vl = val[v] * 2 + vlx2;
		}
		sum += vl;
	}
	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]) {
			dfs(v, v);
		}
	}
	cout << setprecision(12) << fixed;
	cout << "YES\n";
	if (defined_value) {
		for (int v = 1; v <= n; v++) {
			ld vl = 0;
			if (neg[v]) {
				vl = val[v] - ld(vlx2) / 2.0;
			}
			else {
				vl = val[v] + ld(vlx2) / 2.0;
			}
			cout << vl << " ";
		}
		cout << endl;
	}
	else {
		pair<ll, ll>mn = { INF,INF };
		for (int v = 1; v <= n; v++) {
			ll cur = 0;
			if (neg[v]) {
				cur = val[v];
			}
			else {
				cur = -val[v];
			}
			mn = min(mn, { get_sum(cur),cur });
		}
		vlx2 = mn.ss;
		for (int v = 1; v <= n; v++) {
			ld vl = 0;
			if (neg[v]) {
				vl = val[v] - ld(vlx2) / 2.0;
			}
			else {
				vl = val[v] + ld(vlx2) / 2.0;
			}
			cout << vl << " ";
		}
		cout << endl;
	}
}

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

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 3 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Incorrect 3 ms 5032 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 3 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Incorrect 3 ms 5032 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 3 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Incorrect 3 ms 5032 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #4
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 3 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Incorrect 3 ms 5032 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -

Subtask #5
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 3 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Incorrect 3 ms 5032 KB participant answer is larger than the answer of jury
7 Halted 0 ms 0 KB -