oj.uz

Submission #447544

# Submission time Handle Problem Language Result Execution time Memory
447544 2021-07-26T17:38:07 Z Ozy Graph (BOI20_graph) C++17
100 / 100
 223 ms 30916 KB 
#include <iostream>
#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for (int i = (a); i <= (b); i++)
#define repa(i,a,b) for (int i = (a); i >= (b); i--)
#define lli long long int
#define ld long double
#define debug(a) cout << #a << " = " << a << endl
#define debugsl(a) cout << #a << " = " << a << ", "

#define MAX 100000
#define des first
#define color second
#define par first
#define val second
#define INF 1000000000

lli n,m,a,b,c;
ld xval;
vector<lli> numeros;
vector<pair<lli,lli>> hijos[MAX+2];
pair<lli,ld> estado[MAX+2];
lli visitados[MAX+2];
bool posible;

void solve(lli pos) {

    visitados[pos] = 1;

    for (auto h : hijos[pos]) {

        a = estado[pos].par * (-1);
        if (h.color == 1) b = 1 - estado[pos].val;
        else b = 2 - estado[pos].val;

        if (visitados[h.des] == 0) {
            estado[h.des] = {a,b};
            if (a == 1) numeros.push_back(-b);
            else numeros.push_back(b);
            solve(h.des);
        }
        else {
            if (a == estado[h.des].par) {
                if (b == estado[h.des].val) continue;
                else posible = false;
            }
            else {
                ld x = (h.color - (estado[pos].val + estado[h.des].val))/2;
                if (estado[pos].par == -1) x *= -1;

                if (xval == INF) xval = x;
                if (xval != x) posible = false;
            }
        }
    }


}

void llena(lli pos) {

    visitados[pos] = 2;
    estado[pos].val += (estado[pos].par * xval);

    for (auto h : hijos[pos]) {
        if (visitados[h.des] != 2) llena(h.des);
    }

}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n >> m;
    rep(i,1,m) {
        cin >> a >> b >> c;
        hijos[a].push_back({b,c});
        hijos[b].push_back({a,c});
    }

    posible = true;
    rep(i,1,n) {
        if (visitados[i] == 0) {
            estado[i] = {1,0};
            numeros.clear();
            numeros.push_back(0);
            xval = INF;
            solve(i);
            if (!posible) break;

            if (xval == INF) {
                sort(numeros.begin(),numeros.end());
                a = numeros.size()/2;
                xval = numeros[a];
            }
            llena(i);
        }
    }

    if (!posible) cout << "NO\n";
    else {
        cout << "YES\n";
        cout << setprecision(1) << fixed;
        rep(i,1,n) cout << estado[i].val << ' ';
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2680 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2636 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2680 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2636 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2672 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2680 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2636 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2672 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 2 ms 2636 KB answer = YES
38 Correct 3 ms 2764 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2764 KB answer = YES
41 Correct 2 ms 2764 KB answer = NO
42 Correct 3 ms 2764 KB answer = YES
43 Correct 3 ms 2764 KB answer = YES
44 Correct 3 ms 2696 KB answer = YES
45 Correct 3 ms 2808 KB answer = YES
46 Correct 2 ms 2712 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 3 ms 2764 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2680 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2636 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2672 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 2 ms 2636 KB answer = YES
38 Correct 3 ms 2764 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2764 KB answer = YES
41 Correct 2 ms 2764 KB answer = NO
42 Correct 3 ms 2764 KB answer = YES
43 Correct 3 ms 2764 KB answer = YES
44 Correct 3 ms 2696 KB answer = YES
45 Correct 3 ms 2808 KB answer = YES
46 Correct 2 ms 2712 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 3 ms 2764 KB answer = YES
49 Correct 11 ms 3916 KB answer = YES
50 Correct 13 ms 4352 KB answer = YES
51 Correct 13 ms 4428 KB answer = YES
52 Correct 8 ms 4324 KB answer = NO
53 Correct 3 ms 2764 KB answer = YES
54 Correct 4 ms 2892 KB answer = YES
55 Correct 7 ms 3276 KB answer = YES
56 Correct 12 ms 3948 KB answer = YES
57 Correct 13 ms 3728 KB answer = YES
58 Correct 11 ms 3660 KB answer = YES
59 Correct 11 ms 3660 KB answer = YES
60 Correct 12 ms 3868 KB answer = YES
61 Correct 7 ms 3276 KB answer = YES
62 Correct 81 ms 15172 KB answer = NO
63 Correct 84 ms 15200 KB answer = YES
64 Correct 80 ms 15192 KB answer = NO
65 Correct 85 ms 15244 KB answer = YES
66 Correct 4 ms 2808 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2680 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2636 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2672 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 2 ms 2636 KB answer = YES
38 Correct 3 ms 2764 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2764 KB answer = YES
41 Correct 2 ms 2764 KB answer = NO
42 Correct 3 ms 2764 KB answer = YES
43 Correct 3 ms 2764 KB answer = YES
44 Correct 3 ms 2696 KB answer = YES
45 Correct 3 ms 2808 KB answer = YES
46 Correct 2 ms 2712 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 3 ms 2764 KB answer = YES
49 Correct 11 ms 3916 KB answer = YES
50 Correct 13 ms 4352 KB answer = YES
51 Correct 13 ms 4428 KB answer = YES
52 Correct 8 ms 4324 KB answer = NO
53 Correct 3 ms 2764 KB answer = YES
54 Correct 4 ms 2892 KB answer = YES
55 Correct 7 ms 3276 KB answer = YES
56 Correct 12 ms 3948 KB answer = YES
57 Correct 13 ms 3728 KB answer = YES
58 Correct 11 ms 3660 KB answer = YES
59 Correct 11 ms 3660 KB answer = YES
60 Correct 12 ms 3868 KB answer = YES
61 Correct 7 ms 3276 KB answer = YES
62 Correct 81 ms 15172 KB answer = NO
63 Correct 84 ms 15200 KB answer = YES
64 Correct 80 ms 15192 KB answer = NO
65 Correct 85 ms 15244 KB answer = YES
66 Correct 4 ms 2808 KB answer = YES
67 Correct 108 ms 23332 KB answer = YES
68 Correct 96 ms 23292 KB answer = YES
69 Correct 90 ms 23252 KB answer = YES
70 Correct 142 ms 30916 KB answer = YES
71 Correct 95 ms 23224 KB answer = YES
72 Correct 124 ms 14276 KB answer = YES
73 Correct 138 ms 14324 KB answer = YES
74 Correct 76 ms 14940 KB answer = YES
75 Correct 39 ms 14612 KB answer = NO
76 Correct 13 ms 4144 KB answer = YES
77 Correct 26 ms 5652 KB answer = YES
78 Correct 47 ms 7692 KB answer = YES
79 Correct 107 ms 12652 KB answer = YES
80 Correct 83 ms 14912 KB answer = YES
81 Correct 62 ms 18360 KB answer = NO
82 Correct 122 ms 22520 KB answer = YES
83 Correct 158 ms 23988 KB answer = YES
84 Correct 156 ms 24008 KB answer = YES
85 Correct 104 ms 23444 KB answer = YES
86 Correct 107 ms 23320 KB answer = YES
87 Correct 66 ms 16116 KB answer = NO
88 Correct 148 ms 18000 KB answer = YES
89 Correct 100 ms 12996 KB answer = YES
90 Correct 113 ms 12960 KB answer = YES
91 Correct 111 ms 13560 KB answer = YES
92 Correct 54 ms 8560 KB answer = YES
93 Correct 52 ms 8508 KB answer = YES
94 Correct 79 ms 23436 KB answer = NO
95 Correct 55 ms 13152 KB answer = NO
96 Correct 223 ms 26516 KB answer = YES
97 Correct 61 ms 22896 KB answer = NO