Submission #372937

#	Time	Username	Problem	Language	Result	Execution time	Memory
372937		ACmachine	Graph (BOI20_graph)	C++17	17 / 100	2 ms	492 KiB

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#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

typedef long long ll;
typedef long double ld;

typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vi;
typedef vector<ll> vll;

#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)

const double EPS = 1e-9;
const int MOD = 1e9+7;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};

void DBG(){cout << "]" << endl;}
template<typename T, typename ...U> void DBG(const T& head, const U... args){ cout << head << "; "; DBG(args...); }
#define dbg(...) cout << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk() cout << "Check at line(" << __LINE__ << ") hit." << endl;

template<class T, unsigned int U>
ostream& operator<<(ostream& out, const array<T, U> &v){out << "[";  REP(i, U) out << v[i] << ", ";  out << "]"; return out;}
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "[";  REP(i, v.size()) out << v[i] << ", ";  out << "]"; return out;}

template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }

int main(){
 	ios_base::sync_with_stdio(false);
 	cin.tie(NULL); cout.tie(NULL);
 	int n, m;
 	cin >> n >> m;
 	vector<vector<array<int, 2>>> g(n);
 	vector<array<int, 3>> edges(m);
 	REP(i, m){
 	    int a, b, c;
 	    cin >> a >> b >> c;
 	    a--; b--;
 	    g[a].pb({b, 2 * c});
 	    g[b].pb({a, 2 * c});
 	    edges[i] = {a, b, 2 * c};
 	}
 	vector<int> comp(n, -1);
 	function<void(int, int)> dfs = [&](int v, int id){
 	    comp[v] = id;
 	    for(auto x : g[v]) {
 	        if(comp[x[0]] == -1)
 	            dfs(x[0], id);
 	    }
 	};
 	int curr = 0;
 	REP(i, n){
 	    if(comp[i] == -1){
 	        dfs(i, curr);
 	        curr++;
 	    }
 	}
    vector<vector<array<int, 3>>> component_edges(curr);
 	REP(i, m){
 	    component_edges[comp[edges[i][0]]].pb(edges[i]);
 	}
 	vector<vector<int>> component_vertices(curr);
 	REP(i, n) component_vertices[comp[i]].pb(i);
 	vector<int> repr(curr, -1);
 	REP(i, n) repr[comp[i]] = i;
 	vector<int> ans(n, INF);
 	auto go = [&](int s, int val, bool removing){
        ans[s] = val;
        queue<int> q;
        q.push(s);
        while(!q.empty()){
            int v = q.front();
            q.pop();
            for(auto x : g[v]){
                if(ans[x[0]] == INF){
                    ans[x[0]] = x[1] - ans[v];
                    q.push(x[0]);
                }
            }
        }
        bool correct = true;
        int co = comp[s];
        for(auto e : component_edges[co]){
            if(ans[e[0]] + ans[e[1]] != e[2])
                correct = false;
        }
        int res = 0;
        for(int x : component_vertices[co])
            res += abs(ans[x]);
        if(removing){
            for(int x : component_vertices[co])
                ans[x] = INF;
        }
        if(!correct)
            return INF;
        return res;
 	};
    bool possible = true;

    REP(i, curr){
        int mini_val = INF;
        int mini_res = INF;
        FOR(j, -8, 9, 1){
            int tmp_res = go(repr[i], j, true);
            if(tmp_res < mini_res){
                mini_res = tmp_res;
                mini_val = j;
            }
        }
        if(mini_res == INF)
            possible = false;
        go(repr[i], mini_val, false);
    }
    if(!possible){
        cout << "NO" << "\n";
    }
    else{
        cout << "YES" << "\n";
        cout << fixed << setprecision(5) ;
        REP(i, n){
            cout << (double)((double)ans[i] / 2.0) << (i == n - 1 ? "\n" : " ");
        }
    }


    return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 12 / 12
• Subtask 3: 0 / 17
• Subtask 4: 0 / 24
• Subtask 5: 0 / 42