oj.uz

Submission #372956

# Submission time Handle Problem Language Result Execution time Memory
372956 2021-03-02T13:32:30 Z ACmachine Graph (BOI20_graph) C++17
100 / 100
 421 ms 41116 KB 
#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;
    bool possible = true;
    map<array<int, 2>, int> edgemap;
    vector<int> a(n, -INF), b(n, -INF);
    vector<int> ans(n, -INF);

    REP(i, m){
 	    int f, s, c;
 	    cin >> f >> s >> c;
 	    f--; s--; c *= 2;
 	    if(f > s) swap(f, s);
 	    if(edgemap.find({f, s}) != edgemap.end()){
 	        if(c != edgemap[{f, s}])
 	            possible = false;
            continue;
 	    }
 	    edgemap[{f, s}] = c;
 	    if(f == s){
 	        a[f] = 0; b[f] = c / 2;
 	        ans[f] = c / 2;
 	        continue;
 	    }
 	    g[f].pb({s, c});
 	    g[s].pb({f, c});
 	    edges.pb({f, s, c});
 	}
 	if(!possible){
 	    cout << "NO" << "\n";
 	    return 0;
 	}
 	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<int>> component_vertices(curr);
 	REP(i, n) component_vertices[comp[i]].pb(i);
    vector<vector<array<int, 3>>> component_edges(curr);
 	REP(i, edges.size()){
 	    component_edges[comp[edges[i][0]]].pb(edges[i]);
 	}
 	vector<bool> processed(n, false);
 	auto go = [&](int s){
        queue<int> q;
        q.push(s);
        a[s] = 1; b[s] = 0;
        int X = -INF;
        processed[s] = true;
        while(!q.empty()){
            int v = q.front();
            q.pop();
            for(auto x : g[v]){
                int as = -a[v];
                int bs = x[1] - b[v];
                if(a[x[0]] != -INF){
                    if(a[x[0]] == as && b[x[0]] == bs) continue;
                    if(a[x[0]] == as && b[x[0]] != bs) {
                        possible = false;
                        break;
                    }
                    X = (x[1] - b[v] - b[x[0]]) / (a[x[0]] + a[v]);
                }
                if(!processed[x[0]]){
                    processed[x[0]] = true;
                    if(a[x[0]] == -INF){
                        a[x[0]] = as;
                        b[x[0]] = bs;
                    }
                    q.push(x[0]);
                }
            }
        }
        int cm = comp[s];
        if(X == -INF){
            vector<int> temp;
            for(int vert : component_vertices[cm]){
                if(a[vert] == 1)
                    temp.pb(-b[vert]);
                else
                    temp.pb(b[vert]);
            }
            sort(all(temp));
            X = temp[(int)temp.size() / 2];
        }
        for(int vert : component_vertices[cm])
            ans[vert] = a[vert] * X + b[vert];
        for(auto e : component_edges[cm]){
            if(ans[e[0]] + ans[e[1]] != e[2])
                possible = false;
        }
 	};

    REP(i, n){
        if(a[i] == -INF){
            go(i);
        }
    }
    if(!possible){
        cout << "NO" << "\n";
    }
    else{
        cout << "YES" << "\n";
        REP(i, n){
            if(abs(ans[i] % 2) == 0){
                cout << ans[i] / 2;
            }
            else{
                string sign = (ans[i] < 0 ? "-" : "");
                cout << sign << abs(ans[i]) / 2 << ".5";
            }
            cout << (i == n - 1 ? "\n" : " ");
        }
    }


    return 0;
}

Compilation message

Graph.cpp: In function 'int main()':
Graph.cpp:19:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   19 | #define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
      |                                        ^
Graph.cpp:21:18: note: in expansion of macro 'FOR'
   21 | #define REP(i,b) FOR(i,0,b,1)
      |                  ^~~
Graph.cpp:111:3: note: in expansion of macro 'REP'
  111 |   REP(i, edges.size()){
      |   ^~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB answer = YES
2 Correct 1 ms 364 KB answer = YES
3 Correct 0 ms 364 KB answer = YES
4 Correct 1 ms 364 KB answer = NO
5 Correct 1 ms 360 KB answer = YES
6 Correct 1 ms 372 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 364 KB answer = YES
9 Correct 0 ms 364 KB answer = NO
10 Correct 0 ms 364 KB answer = YES
11 Correct 1 ms 364 KB answer = YES
12 Correct 1 ms 364 KB answer = NO
13 Correct 1 ms 364 KB answer = YES
14 Correct 1 ms 364 KB answer = YES
15 Correct 1 ms 364 KB answer = YES
16 Correct 1 ms 364 KB answer = YES
17 Correct 0 ms 364 KB answer = YES
18 Correct 0 ms 364 KB answer = YES
19 Correct 1 ms 384 KB answer = YES
20 Correct 1 ms 364 KB answer = YES
21 Correct 1 ms 364 KB answer = YES
22 Correct 1 ms 364 KB answer = NO
23 Correct 1 ms 364 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB answer = YES
2 Correct 1 ms 364 KB answer = YES
3 Correct 0 ms 364 KB answer = YES
4 Correct 1 ms 364 KB answer = NO
5 Correct 1 ms 360 KB answer = YES
6 Correct 1 ms 372 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 364 KB answer = YES
9 Correct 0 ms 364 KB answer = NO
10 Correct 0 ms 364 KB answer = YES
11 Correct 1 ms 364 KB answer = YES
12 Correct 1 ms 364 KB answer = NO
13 Correct 1 ms 364 KB answer = YES
14 Correct 1 ms 364 KB answer = YES
15 Correct 1 ms 364 KB answer = YES
16 Correct 1 ms 364 KB answer = YES
17 Correct 0 ms 364 KB answer = YES
18 Correct 0 ms 364 KB answer = YES
19 Correct 1 ms 384 KB answer = YES
20 Correct 1 ms 364 KB answer = YES
21 Correct 1 ms 364 KB answer = YES
22 Correct 1 ms 364 KB answer = NO
23 Correct 1 ms 364 KB answer = NO
24 Correct 1 ms 364 KB answer = YES
25 Correct 1 ms 364 KB answer = YES
26 Correct 1 ms 364 KB answer = YES
27 Correct 1 ms 364 KB answer = YES
28 Correct 1 ms 364 KB answer = YES
29 Correct 1 ms 364 KB answer = YES
30 Correct 1 ms 364 KB answer = NO
31 Correct 1 ms 364 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 364 KB answer = YES
34 Correct 1 ms 364 KB answer = YES
35 Correct 1 ms 512 KB answer = YES
36 Correct 1 ms 364 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB answer = YES
2 Correct 1 ms 364 KB answer = YES
3 Correct 0 ms 364 KB answer = YES
4 Correct 1 ms 364 KB answer = NO
5 Correct 1 ms 360 KB answer = YES
6 Correct 1 ms 372 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 364 KB answer = YES
9 Correct 0 ms 364 KB answer = NO
10 Correct 0 ms 364 KB answer = YES
11 Correct 1 ms 364 KB answer = YES
12 Correct 1 ms 364 KB answer = NO
13 Correct 1 ms 364 KB answer = YES
14 Correct 1 ms 364 KB answer = YES
15 Correct 1 ms 364 KB answer = YES
16 Correct 1 ms 364 KB answer = YES
17 Correct 0 ms 364 KB answer = YES
18 Correct 0 ms 364 KB answer = YES
19 Correct 1 ms 384 KB answer = YES
20 Correct 1 ms 364 KB answer = YES
21 Correct 1 ms 364 KB answer = YES
22 Correct 1 ms 364 KB answer = NO
23 Correct 1 ms 364 KB answer = NO
24 Correct 1 ms 364 KB answer = YES
25 Correct 1 ms 364 KB answer = YES
26 Correct 1 ms 364 KB answer = YES
27 Correct 1 ms 364 KB answer = YES
28 Correct 1 ms 364 KB answer = YES
29 Correct 1 ms 364 KB answer = YES
30 Correct 1 ms 364 KB answer = NO
31 Correct 1 ms 364 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 364 KB answer = YES
34 Correct 1 ms 364 KB answer = YES
35 Correct 1 ms 512 KB answer = YES
36 Correct 1 ms 364 KB answer = YES
37 Correct 1 ms 364 KB answer = YES
38 Correct 1 ms 364 KB answer = YES
39 Correct 1 ms 492 KB answer = YES
40 Correct 1 ms 492 KB answer = YES
41 Correct 1 ms 492 KB answer = NO
42 Correct 2 ms 492 KB answer = YES
43 Correct 1 ms 492 KB answer = YES
44 Correct 1 ms 492 KB answer = YES
45 Correct 1 ms 492 KB answer = YES
46 Correct 1 ms 364 KB answer = YES
47 Correct 2 ms 620 KB answer = YES
48 Correct 2 ms 492 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB answer = YES
2 Correct 1 ms 364 KB answer = YES
3 Correct 0 ms 364 KB answer = YES
4 Correct 1 ms 364 KB answer = NO
5 Correct 1 ms 360 KB answer = YES
6 Correct 1 ms 372 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 364 KB answer = YES
9 Correct 0 ms 364 KB answer = NO
10 Correct 0 ms 364 KB answer = YES
11 Correct 1 ms 364 KB answer = YES
12 Correct 1 ms 364 KB answer = NO
13 Correct 1 ms 364 KB answer = YES
14 Correct 1 ms 364 KB answer = YES
15 Correct 1 ms 364 KB answer = YES
16 Correct 1 ms 364 KB answer = YES
17 Correct 0 ms 364 KB answer = YES
18 Correct 0 ms 364 KB answer = YES
19 Correct 1 ms 384 KB answer = YES
20 Correct 1 ms 364 KB answer = YES
21 Correct 1 ms 364 KB answer = YES
22 Correct 1 ms 364 KB answer = NO
23 Correct 1 ms 364 KB answer = NO
24 Correct 1 ms 364 KB answer = YES
25 Correct 1 ms 364 KB answer = YES
26 Correct 1 ms 364 KB answer = YES
27 Correct 1 ms 364 KB answer = YES
28 Correct 1 ms 364 KB answer = YES
29 Correct 1 ms 364 KB answer = YES
30 Correct 1 ms 364 KB answer = NO
31 Correct 1 ms 364 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 364 KB answer = YES
34 Correct 1 ms 364 KB answer = YES
35 Correct 1 ms 512 KB answer = YES
36 Correct 1 ms 364 KB answer = YES
37 Correct 1 ms 364 KB answer = YES
38 Correct 1 ms 364 KB answer = YES
39 Correct 1 ms 492 KB answer = YES
40 Correct 1 ms 492 KB answer = YES
41 Correct 1 ms 492 KB answer = NO
42 Correct 2 ms 492 KB answer = YES
43 Correct 1 ms 492 KB answer = YES
44 Correct 1 ms 492 KB answer = YES
45 Correct 1 ms 492 KB answer = YES
46 Correct 1 ms 364 KB answer = YES
47 Correct 2 ms 620 KB answer = YES
48 Correct 2 ms 492 KB answer = YES
49 Correct 11 ms 2268 KB answer = YES
50 Correct 11 ms 2540 KB answer = YES
51 Correct 11 ms 2540 KB answer = YES
52 Correct 10 ms 2540 KB answer = NO
53 Correct 2 ms 492 KB answer = YES
54 Correct 3 ms 748 KB answer = YES
55 Correct 6 ms 1260 KB answer = YES
56 Correct 11 ms 2156 KB answer = YES
57 Correct 11 ms 2028 KB answer = YES
58 Correct 9 ms 2028 KB answer = YES
59 Correct 10 ms 2028 KB answer = YES
60 Correct 11 ms 2156 KB answer = YES
61 Correct 5 ms 1260 KB answer = YES
62 Correct 278 ms 19996 KB answer = NO
63 Correct 287 ms 25244 KB answer = YES
64 Correct 303 ms 25268 KB answer = NO
65 Correct 299 ms 25248 KB answer = YES
66 Correct 3 ms 748 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB answer = YES
2 Correct 1 ms 364 KB answer = YES
3 Correct 0 ms 364 KB answer = YES
4 Correct 1 ms 364 KB answer = NO
5 Correct 1 ms 360 KB answer = YES
6 Correct 1 ms 372 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 364 KB answer = YES
9 Correct 0 ms 364 KB answer = NO
10 Correct 0 ms 364 KB answer = YES
11 Correct 1 ms 364 KB answer = YES
12 Correct 1 ms 364 KB answer = NO
13 Correct 1 ms 364 KB answer = YES
14 Correct 1 ms 364 KB answer = YES
15 Correct 1 ms 364 KB answer = YES
16 Correct 1 ms 364 KB answer = YES
17 Correct 0 ms 364 KB answer = YES
18 Correct 0 ms 364 KB answer = YES
19 Correct 1 ms 384 KB answer = YES
20 Correct 1 ms 364 KB answer = YES
21 Correct 1 ms 364 KB answer = YES
22 Correct 1 ms 364 KB answer = NO
23 Correct 1 ms 364 KB answer = NO
24 Correct 1 ms 364 KB answer = YES
25 Correct 1 ms 364 KB answer = YES
26 Correct 1 ms 364 KB answer = YES
27 Correct 1 ms 364 KB answer = YES
28 Correct 1 ms 364 KB answer = YES
29 Correct 1 ms 364 KB answer = YES
30 Correct 1 ms 364 KB answer = NO
31 Correct 1 ms 364 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 364 KB answer = YES
34 Correct 1 ms 364 KB answer = YES
35 Correct 1 ms 512 KB answer = YES
36 Correct 1 ms 364 KB answer = YES
37 Correct 1 ms 364 KB answer = YES
38 Correct 1 ms 364 KB answer = YES
39 Correct 1 ms 492 KB answer = YES
40 Correct 1 ms 492 KB answer = YES
41 Correct 1 ms 492 KB answer = NO
42 Correct 2 ms 492 KB answer = YES
43 Correct 1 ms 492 KB answer = YES
44 Correct 1 ms 492 KB answer = YES
45 Correct 1 ms 492 KB answer = YES
46 Correct 1 ms 364 KB answer = YES
47 Correct 2 ms 620 KB answer = YES
48 Correct 2 ms 492 KB answer = YES
49 Correct 11 ms 2268 KB answer = YES
50 Correct 11 ms 2540 KB answer = YES
51 Correct 11 ms 2540 KB answer = YES
52 Correct 10 ms 2540 KB answer = NO
53 Correct 2 ms 492 KB answer = YES
54 Correct 3 ms 748 KB answer = YES
55 Correct 6 ms 1260 KB answer = YES
56 Correct 11 ms 2156 KB answer = YES
57 Correct 11 ms 2028 KB answer = YES
58 Correct 9 ms 2028 KB answer = YES
59 Correct 10 ms 2028 KB answer = YES
60 Correct 11 ms 2156 KB answer = YES
61 Correct 5 ms 1260 KB answer = YES
62 Correct 278 ms 19996 KB answer = NO
63 Correct 287 ms 25244 KB answer = YES
64 Correct 303 ms 25268 KB answer = NO
65 Correct 299 ms 25248 KB answer = YES
66 Correct 3 ms 748 KB answer = YES
67 Correct 97 ms 24608 KB answer = YES
68 Correct 105 ms 24544 KB answer = YES
69 Correct 93 ms 24608 KB answer = YES
70 Correct 172 ms 41116 KB answer = YES
71 Correct 104 ms 24736 KB answer = YES
72 Correct 200 ms 18848 KB answer = YES
73 Correct 186 ms 18976 KB answer = YES
74 Correct 91 ms 15116 KB answer = YES
75 Correct 97 ms 15780 KB answer = NO
76 Correct 13 ms 2780 KB answer = YES
77 Correct 30 ms 5128 KB answer = YES
78 Correct 65 ms 8996 KB answer = YES
79 Correct 158 ms 17568 KB answer = YES
80 Correct 95 ms 16036 KB answer = YES
81 Correct 145 ms 22688 KB answer = NO
82 Correct 165 ms 25632 KB answer = YES
83 Correct 180 ms 26016 KB answer = YES
84 Correct 176 ms 26016 KB answer = YES
85 Correct 100 ms 26016 KB answer = YES
86 Correct 99 ms 26016 KB answer = YES
87 Correct 207 ms 20768 KB answer = NO
88 Correct 212 ms 22176 KB answer = YES
89 Correct 188 ms 20768 KB answer = YES
90 Correct 186 ms 20768 KB answer = YES
91 Correct 194 ms 21024 KB answer = YES
92 Correct 93 ms 10404 KB answer = YES
93 Correct 75 ms 10276 KB answer = YES
94 Correct 168 ms 25632 KB answer = NO
95 Correct 177 ms 20768 KB answer = NO
96 Correct 421 ms 38172 KB answer = YES
97 Correct 91 ms 25632 KB answer = NO