oj.uz

Submission #998569

# Submission time Handle Problem Language Result Execution time Memory
998569 2024-06-14T08:34:18 Z andrei_iorgulescu Newspapers (CEOI21_newspapers) C++14
100 / 100
 47 ms 8016 KB 
#include <bits/stdc++.h>

using namespace std;

int n,m;
vector<int> g[1005],f[1005];
int h[1005];
int hmax[1005];
bool on_diam[1005];

void dfs(int nod,int tata)
{
    hmax[nod] = h[nod];
    for (auto vecin : g[nod])
    {
        if (vecin != tata)
        {
            h[vecin] = 1 + h[nod];
            f[nod].push_back(vecin);
            dfs(vecin,nod);
            hmax[nod] = max(hmax[nod],hmax[vecin]);
        }
    }
}

bool nod_sussy(int x)
{
    for (int i = 1; i <= n; i++)
        f[i].clear();
    h[x] = 0;
    dfs(x,0);
    int cnt = 0;
    for (auto fiu : f[x])
        if (hmax[fiu] >= 3)
            cnt++;
    if (cnt >= 3)
        return true;
    return false;
}

bool viz[1005];
int tatar[1005];

void dfss(int nod)
{
    viz[nod] = true;
    for (auto vecin : g[nod])
        if (!viz[vecin])
            tatar[vecin] = nod,dfss(vecin);
}

int xx,yy,solopt = 1e9;
int bruh;

vector<int> get_path(int x,int y)
{
    memset(viz,0,sizeof(viz));
    memset(tatar,0,sizeof(tatar));
    dfss(x);
    vector<int> diam;
    diam.push_back(y);
    while (y != x)
    {
        y = tatar[y];
        diam.push_back(y);
    }
    return diam;
}

int nrop;
int didi;

void hmm(int nod,int tata)
{
    if (tata != 0 and g[nod].size() == 1)
    {
        if (nrop + 2 * didi - 4 < solopt)
        {
            solopt = nrop + 2 * didi - 4;
            xx = nod;
            yy = bruh;
        }
    }
    int cntt = 0;
    for (auto it : f[nod])
        if (hmax[it] - h[it] >= 2)
            cntt++;
    if (cntt >= 2)
        return;
    if (cntt == 1)
    {
        for (auto it : f[nod])
            if (hmax[it] - h[it] == 1)
                nrop += 4;
        for (auto it : f[nod])
            if (hmax[it] - h[it] >= 2)
            {
                didi++;
                hmm(it,nod);
                didi--;
            }
        for (auto it : f[nod])
            if (hmax[it] - h[it] == 1)
                nrop -= 4;
    }
    else
    {
        for (auto it : f[nod])
            if (hmax[it] - h[it] == 1)
                nrop += 4;
        for (auto it : f[nod])
        {
            didi++;
            if (hmax[it] - h[it] == 1)
                nrop -= 4;
            hmm(it,nod);
            didi--;
            if (hmax[it] - h[it] == 1)
                nrop += 4;
        }
        for (auto it : f[nod])
            if (hmax[it] - h[it] == 1)
                nrop -= 4;
    }
}

void hoosh(int nod)
{
    for (int i = 1; i <= n; i++)
        f[i].clear();
    h[nod] = 0;
    dfs(nod,0);
    hmm(nod,0);
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin >> n >> m;
    for (int i = 1; i <= m; i++)
    {
        int x,y;
        cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    if (m != n - 1)
    {
        cout << "NO";
        return 0;
    }
    for (int i = 1; i <= n; i++)
    {
        if (nod_sussy(i))
        {
            cout << "NO";
            return 0;
        }
    }
    if (n == 1 or n == 2)
    {
        cout << "YES\n";
        cout << n << '\n';
        for (int i = 1; i <= n; i++)
            cout << 1 << ' ';
        return 0;
    }
    cout << "YES\n";
    for (int i = 1; i <= n; i++)
    {
        bruh = i;
        if (g[i].size() == 1)
        {
            hoosh(i);
        }
    }
    vector<int> op;
    vector<int> diam = get_path(xx,yy);
    for (auto it : diam)
        on_diam[it] = true;
    //op.push_back(diam[1]);
    for (int i = 1; i < diam.size() - 1; i++)
    {
        op.push_back(diam[i]);
        for (auto it : g[diam[i]])
            if (!on_diam[it] and g[it].size() > 1)
                op.push_back(it),op.push_back(diam[i]);
    }
    if (op.size() % 2 == 0)
        reverse(diam.begin(),diam.end());
    //op.push_back(diam[1]);
    for (int i = 1; i < diam.size() - 1; i++)
    {
        op.push_back(diam[i]);
        for (auto it : g[diam[i]])
            if (!on_diam[it] and g[it].size() > 1)
                op.push_back(it),op.push_back(diam[i]);
    }
    cout << op.size() << '\n';
    for (auto it : op)
        cout << it << ' ';
    return 0;
}

///wtf why does that even work ???
/**
constructie (nush cat de optima dar e o idee)
imi iau diamnetrul
din fiecare punct de pe el pot rasari maxim arbori de inaltime 2 (gen, fiu al diametrului + fiii lui care sunt frunze)
Fie nodurile de pe diametru d[1], d[2], ..., d[k]
Dau initial pe d[2]
Procesul e gen: daca am reusit sa ma asigur ca nu am in candidati toti vecinii lui d[x] in afara de d[x + 1], dau pe d[x + 1]
Daca am dat pe d[x + 1] si tin nodul d[x] alternant, mi se garanteaza inductiv ca de acum aia gen d[i <= x] si chestiile care rasar sunt alternante
Acum, sa zicem ca un sufix din vecinii (nu de pe diametru) ai lui d[x] sunt activi
Il iau pe primul si dau pe el, apoi dau pe 3
Apoi aproximativ repet aceeasi secventa de operatii ca o sa mearga
**/

Compilation message

newspapers.cpp: In function 'int main()':
newspapers.cpp:184:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  184 |     for (int i = 1; i < diam.size() - 1; i++)
      |                     ~~^~~~~~~~~~~~~~~~~
newspapers.cpp:194:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  194 |     for (int i = 1; i < diam.size() - 1; i++)
      |                     ~~^~~~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 508 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 504 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 600 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 504 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 504 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 600 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 512 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 9 ms 604 KB Output is correct
12 Correct 3 ms 600 KB Output is correct
13 Correct 4 ms 604 KB Output is correct
14 Correct 4 ms 604 KB Output is correct
15 Correct 5 ms 604 KB Output is correct
16 Correct 10 ms 604 KB Output is correct
17 Correct 10 ms 604 KB Output is correct
18 Correct 10 ms 604 KB Output is correct
19 Correct 9 ms 604 KB Output is correct
20 Correct 10 ms 604 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 508 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 504 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 600 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 504 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 504 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 600 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 512 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 0 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 0 ms 348 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 0 ms 348 KB Output is correct
81 Correct 0 ms 348 KB Output is correct
82 Correct 0 ms 512 KB Output is correct
83 Correct 0 ms 344 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 1 ms 348 KB Output is correct
86 Correct 0 ms 348 KB Output is correct
87 Correct 0 ms 348 KB Output is correct
88 Correct 0 ms 348 KB Output is correct
89 Correct 15 ms 604 KB Output is correct
90 Correct 11 ms 604 KB Output is correct
91 Correct 11 ms 604 KB Output is correct
92 Correct 9 ms 600 KB Output is correct
93 Correct 13 ms 620 KB Output is correct
94 Correct 10 ms 600 KB Output is correct
95 Correct 15 ms 604 KB Output is correct
96 Correct 14 ms 600 KB Output is correct
97 Correct 9 ms 600 KB Output is correct
98 Correct 14 ms 604 KB Output is correct
99 Correct 11 ms 604 KB Output is correct
100 Correct 12 ms 604 KB Output is correct
101 Correct 10 ms 604 KB Output is correct
102 Correct 10 ms 604 KB Output is correct
103 Correct 11 ms 616 KB Output is correct
104 Correct 8 ms 604 KB Output is correct
105 Correct 9 ms 604 KB Output is correct
106 Correct 11 ms 604 KB Output is correct
107 Correct 10 ms 600 KB Output is correct
108 Correct 15 ms 604 KB Output is correct
109 Correct 11 ms 604 KB Output is correct
110 Correct 12 ms 604 KB Output is correct
111 Correct 9 ms 604 KB Output is correct
112 Correct 9 ms 604 KB Output is correct
113 Correct 14 ms 604 KB Output is correct
114 Correct 12 ms 604 KB Output is correct
115 Correct 10 ms 604 KB Output is correct
116 Correct 11 ms 604 KB Output is correct
117 Correct 15 ms 604 KB Output is correct
118 Correct 13 ms 604 KB Output is correct
119 Correct 11 ms 604 KB Output is correct
120 Correct 13 ms 604 KB Output is correct
121 Correct 13 ms 604 KB Output is correct
122 Correct 10 ms 604 KB Output is correct
123 Correct 9 ms 604 KB Output is correct
124 Correct 14 ms 620 KB Output is correct
125 Correct 9 ms 600 KB Output is correct
126 Correct 10 ms 604 KB Output is correct
127 Correct 9 ms 604 KB Output is correct
128 Correct 13 ms 624 KB Output is correct
129 Correct 1 ms 348 KB Output is correct
130 Correct 0 ms 512 KB Output is correct
131 Correct 0 ms 348 KB Output is correct
132 Correct 1 ms 348 KB Output is correct
133 Correct 0 ms 348 KB Output is correct
134 Correct 9 ms 1996 KB Output is correct
135 Correct 8 ms 2140 KB Output is correct
136 Correct 20 ms 5500 KB Output is correct
137 Correct 14 ms 3416 KB Output is correct
138 Correct 23 ms 4692 KB Output is correct
139 Correct 40 ms 8016 KB Output is correct
140 Correct 8 ms 1624 KB Output is correct
141 Correct 3 ms 860 KB Output is correct
142 Correct 37 ms 7580 KB Output is correct
143 Correct 47 ms 8016 KB Output is correct
144 Correct 10 ms 604 KB Output is correct
145 Correct 10 ms 604 KB Output is correct