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Submission #580076

# Submission time Handle Problem Language Result Execution time Memory
580076 2022-06-20T14:29:04 Z Elias Stranded Far From Home (BOI22_island) C++17
100 / 100
 372 ms 48776 KB 
#include <bits/stdc++.h>

#ifndef _DEBUG
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#endif

using namespace std;

#define int int64_t

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

vector<vector<int>> adj;

struct Boi
{
    int s;
    int i;
    vector<int> members;
    int parent;
    int sum;

    Boi(int s, int i)
    {
        this->s = this->sum = s;
        this->i = this->parent = i;
        members.push_back(i);
    }

    bool operator<(const Boi &other) const
    {
        return s < other.s;
    }
};

vector<Boi> bois;

int find(int i)
{
    if (bois[i].parent == i)
        return i;
    return bois[i].parent = find(bois[i].parent);
}

void mergeVectors(vector<int> &a, vector<int> &b)
{
    if (a.size() < b.size())
        swap(a, b);
    for (int x : b)
        a.push_back(x);
    b = vector<int>(); // empty to save memory
}

void merge(int a, int b)
{
    a = find(a);
    b = find(b);

    if (a == b) // if already in the same group, can be ignored
        return;

    if (bois[b].sum >= bois[a].s) // can take over, and are not taken over
        mergeVectors(bois[a].members, bois[b].members);

    bois[a].sum += bois[b].sum;
    bois[b].parent = a;
}

signed main()
{
    cin.tie(0);
    ios_base::sync_with_stdio(false);

    int n, m;
    cin >> n >> m;

    bois = vector<Boi>(n, Boi(-1, -1));

    for (int i = 0; i < n; i++)
    {
        int s;
        cin >> s;
        bois[i] = Boi(s, i);
    }

    vector<Boi> sorted = bois;

    sort(sorted.begin(), sorted.end());

    adj = vector<vector<int>>(n);

    while (m--)
    {
        int a, b;
        cin >> a >> b;
        a--, b--;
        if (bois[a].s < bois[b].s)
            swap(a, b);
        adj[a].push_back(b); // only to smaller ones
    }

    for (int i = 0; i < n; i++)
        sort(adj[i].begin(), adj[i].end(), [&](int a, int b)
             { return bois[a].s < bois[b].s; });

    for (Boi &boi : sorted)
    {
        for (int c : adj[boi.i])
            merge(boi.i, c);
    }

    int bigBoi = find(sorted.back().i);

    vector<bool> possible(n, false);

    for (int p : bois[bigBoi].members)
        possible[p] = true;

    for (bool b : possible)
    {
        if (b)
            cout << "1";
        else
            cout << "0";
    }
    cout << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 724 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 596 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 724 KB Output is correct
10 Correct 2 ms 724 KB Output is correct
11 Correct 2 ms 724 KB Output is correct
12 Correct 3 ms 724 KB Output is correct
13 Correct 2 ms 724 KB Output is correct
14 Correct 2 ms 724 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 171 ms 46080 KB Output is correct
4 Correct 172 ms 46188 KB Output is correct
5 Correct 186 ms 44748 KB Output is correct
6 Correct 215 ms 45584 KB Output is correct
7 Correct 195 ms 46020 KB Output is correct
8 Correct 234 ms 46248 KB Output is correct
9 Correct 176 ms 43616 KB Output is correct
10 Correct 160 ms 41580 KB Output is correct
11 Correct 170 ms 45476 KB Output is correct
12 Correct 252 ms 44432 KB Output is correct
13 Correct 179 ms 44604 KB Output is correct
14 Correct 188 ms 45812 KB Output is correct
15 Correct 181 ms 47416 KB Output is correct
16 Correct 126 ms 47092 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 241 ms 46936 KB Output is correct
3 Correct 285 ms 47472 KB Output is correct
4 Correct 191 ms 45240 KB Output is correct
5 Correct 168 ms 44688 KB Output is correct
6 Correct 315 ms 47092 KB Output is correct
7 Correct 280 ms 47800 KB Output is correct
8 Correct 217 ms 47812 KB Output is correct
9 Correct 121 ms 47052 KB Output is correct
10 Correct 231 ms 44228 KB Output is correct
11 Correct 213 ms 46324 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 232 KB Output is correct
2 Correct 288 ms 45632 KB Output is correct
3 Correct 332 ms 46392 KB Output is correct
4 Correct 311 ms 47404 KB Output is correct
5 Correct 296 ms 48300 KB Output is correct
6 Correct 248 ms 45072 KB Output is correct
7 Correct 222 ms 45448 KB Output is correct
8 Correct 151 ms 45460 KB Output is correct
9 Correct 163 ms 24780 KB Output is correct
10 Correct 280 ms 48776 KB Output is correct
11 Correct 224 ms 46532 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 724 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 596 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 3 ms 724 KB Output is correct
10 Correct 2 ms 724 KB Output is correct
11 Correct 2 ms 724 KB Output is correct
12 Correct 3 ms 724 KB Output is correct
13 Correct 2 ms 724 KB Output is correct
14 Correct 2 ms 724 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 171 ms 46080 KB Output is correct
18 Correct 172 ms 46188 KB Output is correct
19 Correct 186 ms 44748 KB Output is correct
20 Correct 215 ms 45584 KB Output is correct
21 Correct 195 ms 46020 KB Output is correct
22 Correct 234 ms 46248 KB Output is correct
23 Correct 176 ms 43616 KB Output is correct
24 Correct 160 ms 41580 KB Output is correct
25 Correct 170 ms 45476 KB Output is correct
26 Correct 252 ms 44432 KB Output is correct
27 Correct 179 ms 44604 KB Output is correct
28 Correct 188 ms 45812 KB Output is correct
29 Correct 181 ms 47416 KB Output is correct
30 Correct 126 ms 47092 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 241 ms 46936 KB Output is correct
33 Correct 285 ms 47472 KB Output is correct
34 Correct 191 ms 45240 KB Output is correct
35 Correct 168 ms 44688 KB Output is correct
36 Correct 315 ms 47092 KB Output is correct
37 Correct 280 ms 47800 KB Output is correct
38 Correct 217 ms 47812 KB Output is correct
39 Correct 121 ms 47052 KB Output is correct
40 Correct 231 ms 44228 KB Output is correct
41 Correct 213 ms 46324 KB Output is correct
42 Correct 1 ms 232 KB Output is correct
43 Correct 288 ms 45632 KB Output is correct
44 Correct 332 ms 46392 KB Output is correct
45 Correct 311 ms 47404 KB Output is correct
46 Correct 296 ms 48300 KB Output is correct
47 Correct 248 ms 45072 KB Output is correct
48 Correct 222 ms 45448 KB Output is correct
49 Correct 151 ms 45460 KB Output is correct
50 Correct 163 ms 24780 KB Output is correct
51 Correct 280 ms 48776 KB Output is correct
52 Correct 224 ms 46532 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 0 ms 212 KB Output is correct
55 Correct 0 ms 212 KB Output is correct
56 Correct 2 ms 596 KB Output is correct
57 Correct 3 ms 756 KB Output is correct
58 Correct 3 ms 672 KB Output is correct
59 Correct 3 ms 596 KB Output is correct
60 Correct 2 ms 596 KB Output is correct
61 Correct 5 ms 764 KB Output is correct
62 Correct 2 ms 724 KB Output is correct
63 Correct 2 ms 724 KB Output is correct
64 Correct 2 ms 724 KB Output is correct
65 Correct 2 ms 724 KB Output is correct
66 Correct 2 ms 752 KB Output is correct
67 Correct 180 ms 46084 KB Output is correct
68 Correct 185 ms 46088 KB Output is correct
69 Correct 323 ms 44724 KB Output is correct
70 Correct 214 ms 45496 KB Output is correct
71 Correct 200 ms 45944 KB Output is correct
72 Correct 372 ms 46176 KB Output is correct
73 Correct 164 ms 43700 KB Output is correct
74 Correct 158 ms 41596 KB Output is correct
75 Correct 260 ms 45560 KB Output is correct
76 Correct 234 ms 44404 KB Output is correct
77 Correct 165 ms 44616 KB Output is correct
78 Correct 177 ms 45760 KB Output is correct
79 Correct 192 ms 47532 KB Output is correct
80 Correct 111 ms 47036 KB Output is correct
81 Correct 228 ms 46920 KB Output is correct
82 Correct 254 ms 47632 KB Output is correct
83 Correct 199 ms 45192 KB Output is correct
84 Correct 164 ms 44664 KB Output is correct
85 Correct 239 ms 47064 KB Output is correct
86 Correct 215 ms 47860 KB Output is correct
87 Correct 231 ms 48048 KB Output is correct
88 Correct 166 ms 44232 KB Output is correct
89 Correct 198 ms 46332 KB Output is correct
90 Correct 282 ms 45640 KB Output is correct
91 Correct 252 ms 46440 KB Output is correct
92 Correct 262 ms 47328 KB Output is correct
93 Correct 275 ms 48316 KB Output is correct
94 Correct 246 ms 45060 KB Output is correct
95 Correct 180 ms 45536 KB Output is correct
96 Correct 129 ms 45516 KB Output is correct
97 Correct 152 ms 24784 KB Output is correct
98 Correct 260 ms 48724 KB Output is correct
99 Correct 202 ms 46460 KB Output is correct
100 Correct 49 ms 3900 KB Output is correct
101 Correct 287 ms 47196 KB Output is correct
102 Correct 242 ms 37520 KB Output is correct
103 Correct 247 ms 38196 KB Output is correct
104 Correct 285 ms 44644 KB Output is correct