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Submission #711419

# Submission time Handle Problem Language Result Execution time Memory
711419 2023-03-16T21:53:04 Z sysia Graph (BOI20_graph) C++17
100 / 100
 224 ms 33152 KB 
//Sylwia Sapkowska
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;

void __print(int x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef LOCAL
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif

#define int long long
typedef pair<int, int> T;
const int oo = 1e9+7;

void solve(){
    int n, m; cin >> n >> m;
    vector<vector<T>>g(n+1);
    for (int i = 0; i<m; i++) {
        int a, b, c; cin >> a >> b >> c;
        g[a].emplace_back(b, c);
        g[b].emplace_back(a, c);
    }
    vector<T>poly(n+1);
    vector<bool>vis(n+1);
    long double ans = (long double)oo;
    long double eps = 1e-9;
    vector<int>valid;
    function<void(int)>dfs = [&](int v){
        vis[v] = 1;
        valid.emplace_back(v);
        for (auto [x, c]: g[v]){
            if (!vis[x]){
                poly[x].first = -poly[v].first;
                poly[x].second = c - poly[v].second;
                dfs(x);
            } else {
                //solve the equation
                //curr.first * x + curr.second = poly[x].first * x + poly[x].second
                //x (curr.first - poly[x].first) = poly[x].second - curr.second;
                T curr = {-poly[v].first, c - poly[v].second};
                debug(v, x, curr, poly[x], poly[v]);
                if (curr.first == poly[x].first) {
                    if (curr.second != poly[x].second){
                        cout << "NO\n";
                        exit(0);
                    }
                    continue;
                }
                long double now = (long double)(poly[x].second - curr.second)/(long double)(curr.first - poly[x].first);
                debug(x, v, now);
                if (abs(ans - oo) < eps) {
                    ans = now;
                } else {
                    if (abs(now - ans) > eps){
                        cout << "NO\n";
                        exit(0);
                    }
                }
            }
        }
    };
    
    cout << fixed << setprecision(15);
    vector<long double>ret(n+1);
    vector<bool>vis2(n+1, 0);
    auto solve = [&](long double curr, int from){
        function<void(int)>restore = [&](int v){
            vis2[v] = 1;
            for (auto [x, c]: g[v]){
                if (!vis2[x]){
                    ret[x] = (long double)c - ret[v];
                    restore(x);
                }
            }
        };
        ret[from] = curr;
        restore(from);
        for (auto u: valid) vis2[u] = 0;
    };
    vector<long double>out(n+1);
    for (int i = 1; i<=n; i++){
        if (!vis[i]){
            ans = (long double)oo;
            poly[i].first = 1;
            dfs(i);
            debug(valid);
            if (abs(ans - oo) < eps){ 
                vector<int>now;
                for (auto u: valid){
                    if (poly[u].first == -1) now.emplace_back(poly[u].second);
                    else now.emplace_back(-poly[u].second);
                }
                sort(now.begin(), now.end());
                debug(now);
                ans = (long double)(now[(int)now.size()/2]);
            }
            solve(ans, i);
            valid.clear();
        }
    }
    cout << "YES\n";
    for (int i = 1; i<=n; i++) cout << ret[i] << " ";
    cout << "\n";
}

int32_t main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int t = 1;
    // cin >> t;
    while (t--) solve();

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 1 ms 212 KB answer = YES
11 Correct 1 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 1 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 1 ms 212 KB answer = YES
11 Correct 1 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 1 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 320 KB answer = YES
28 Correct 1 ms 320 KB answer = YES
29 Correct 1 ms 316 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 1 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 1 ms 212 KB answer = YES
11 Correct 1 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 1 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 320 KB answer = YES
28 Correct 1 ms 320 KB answer = YES
29 Correct 1 ms 316 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 1 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 340 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 2 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 2 ms 468 KB answer = YES
43 Correct 2 ms 468 KB answer = YES
44 Correct 2 ms 468 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 320 KB answer = YES
47 Correct 2 ms 468 KB answer = YES
48 Correct 2 ms 452 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 1 ms 212 KB answer = YES
11 Correct 1 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 1 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 320 KB answer = YES
28 Correct 1 ms 320 KB answer = YES
29 Correct 1 ms 316 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 1 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 340 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 2 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 2 ms 468 KB answer = YES
43 Correct 2 ms 468 KB answer = YES
44 Correct 2 ms 468 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 320 KB answer = YES
47 Correct 2 ms 468 KB answer = YES
48 Correct 2 ms 452 KB answer = YES
49 Correct 10 ms 1972 KB answer = YES
50 Correct 10 ms 2516 KB answer = YES
51 Correct 11 ms 2436 KB answer = YES
52 Correct 4 ms 1620 KB answer = NO
53 Correct 2 ms 456 KB answer = YES
54 Correct 3 ms 724 KB answer = YES
55 Correct 6 ms 1172 KB answer = YES
56 Correct 10 ms 1924 KB answer = YES
57 Correct 10 ms 1868 KB answer = YES
58 Correct 8 ms 1748 KB answer = YES
59 Correct 9 ms 1780 KB answer = YES
60 Correct 10 ms 1996 KB answer = YES
61 Correct 5 ms 1136 KB answer = YES
62 Correct 56 ms 12332 KB answer = NO
63 Correct 72 ms 13280 KB answer = YES
64 Correct 54 ms 12964 KB answer = NO
65 Correct 70 ms 13248 KB answer = YES
66 Correct 3 ms 596 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB answer = YES
2 Correct 0 ms 212 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 1 ms 212 KB answer = NO
5 Correct 0 ms 212 KB answer = YES
6 Correct 1 ms 212 KB answer = YES
7 Correct 0 ms 212 KB answer = YES
8 Correct 0 ms 212 KB answer = YES
9 Correct 0 ms 212 KB answer = NO
10 Correct 1 ms 212 KB answer = YES
11 Correct 1 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 1 ms 212 KB answer = YES
14 Correct 0 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 0 ms 212 KB answer = YES
20 Correct 0 ms 212 KB answer = YES
21 Correct 0 ms 212 KB answer = YES
22 Correct 0 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 212 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 0 ms 212 KB answer = YES
27 Correct 1 ms 320 KB answer = YES
28 Correct 1 ms 320 KB answer = YES
29 Correct 1 ms 316 KB answer = YES
30 Correct 1 ms 212 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 1 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 212 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 340 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 2 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 2 ms 468 KB answer = YES
43 Correct 2 ms 468 KB answer = YES
44 Correct 2 ms 468 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 320 KB answer = YES
47 Correct 2 ms 468 KB answer = YES
48 Correct 2 ms 452 KB answer = YES
49 Correct 10 ms 1972 KB answer = YES
50 Correct 10 ms 2516 KB answer = YES
51 Correct 11 ms 2436 KB answer = YES
52 Correct 4 ms 1620 KB answer = NO
53 Correct 2 ms 456 KB answer = YES
54 Correct 3 ms 724 KB answer = YES
55 Correct 6 ms 1172 KB answer = YES
56 Correct 10 ms 1924 KB answer = YES
57 Correct 10 ms 1868 KB answer = YES
58 Correct 8 ms 1748 KB answer = YES
59 Correct 9 ms 1780 KB answer = YES
60 Correct 10 ms 1996 KB answer = YES
61 Correct 5 ms 1136 KB answer = YES
62 Correct 56 ms 12332 KB answer = NO
63 Correct 72 ms 13280 KB answer = YES
64 Correct 54 ms 12964 KB answer = NO
65 Correct 70 ms 13248 KB answer = YES
66 Correct 3 ms 596 KB answer = YES
67 Correct 122 ms 25556 KB answer = YES
68 Correct 95 ms 25472 KB answer = YES
69 Correct 96 ms 25440 KB answer = YES
70 Correct 124 ms 33152 KB answer = YES
71 Correct 91 ms 25544 KB answer = YES
72 Correct 123 ms 16612 KB answer = YES
73 Correct 110 ms 16572 KB answer = YES
74 Correct 88 ms 15508 KB answer = YES
75 Correct 23 ms 11228 KB answer = NO
76 Correct 11 ms 2292 KB answer = YES
77 Correct 25 ms 4356 KB answer = YES
78 Correct 49 ms 7380 KB answer = YES
79 Correct 104 ms 14268 KB answer = YES
80 Correct 79 ms 15592 KB answer = YES
81 Correct 40 ms 18368 KB answer = NO
82 Correct 127 ms 24768 KB answer = YES
83 Correct 143 ms 26300 KB answer = YES
84 Correct 161 ms 26144 KB answer = YES
85 Correct 106 ms 25632 KB answer = YES
86 Correct 107 ms 25556 KB answer = YES
87 Correct 47 ms 16564 KB answer = NO
88 Correct 151 ms 20376 KB answer = YES
89 Correct 102 ms 15208 KB answer = YES
90 Correct 105 ms 15152 KB answer = YES
91 Correct 113 ms 15788 KB answer = YES
92 Correct 52 ms 8428 KB answer = YES
93 Correct 49 ms 8516 KB answer = YES
94 Correct 61 ms 22740 KB answer = NO
95 Correct 50 ms 13964 KB answer = NO
96 Correct 224 ms 28668 KB answer = YES
97 Correct 33 ms 22080 KB answer = NO