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Submission #1041976

# Submission time Handle Problem Language Result Execution time Memory
1041976 2024-08-02T11:28:56 Z Blagoj Stranded Far From Home (BOI22_island) C++17
100 / 100
 102 ms 40396 KB 
#include <bits/stdc++.h>

using namespace std;

#define endl '\n'
#define ll long long
#define all(x) (x).begin(), (x).end()

const int mxn = 2e5 + 100;

vector<ll> s(mxn), ldr(mxn), rnk(mxn), mx(mxn), p[mxn];

int Find(int x) {
    if (ldr[x] == x) return x;
    return ldr[x] = Find(ldr[x]);
}

void Union(int x, int y) {
    x = Find(x), y = Find(y);
    if (x == y) return;
    if (rnk[x] < mx[y]) p[x].clear();
    if (rnk[y] < mx[x]) p[y].clear();
    if (p[x].size() < p[y].size()) swap(x, y);
    for (auto el : p[y]) p[x].push_back(el);
    ldr[y] = x;
    rnk[x] += rnk[y];
    mx[x] = max(mx[x], mx[y]);
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n, m;
    cin >> n >> m;
    for (int i = 1; i <= n; i++) cin >> s[i];
    vector<pair<int, int>> edg;
    for (int i = 0; i < m; i++) {
        int f, t;
        cin >> f >> t;
        edg.push_back({f, t});
    }
    sort(all(edg), [&] (pair<int, int> a, pair<int, int> b) {
        return max(s[a.first], s[a.second]) < max(s[b.first], s[b.second]);
    });
    for (int i = 1; i <= n; i++) {
        ldr[i] = i;
        rnk[i] = s[i];
        p[i] = {i};
        mx[i] = s[i];
    }
    for (auto x : edg) Union(x.first, x.second);
    bitset<mxn> ans;
    for (auto x : p[Find(1)]) ans[x] = 1;
    for (int i = 1; i <= n; i++) cout << ans[i]; 
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11352 KB Output is correct
2 Correct 3 ms 11456 KB Output is correct
3 Correct 4 ms 11356 KB Output is correct
4 Correct 4 ms 11356 KB Output is correct
5 Correct 4 ms 11612 KB Output is correct
6 Correct 3 ms 11356 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 3 ms 11356 KB Output is correct
9 Correct 3 ms 11356 KB Output is correct
10 Correct 4 ms 11612 KB Output is correct
11 Correct 4 ms 11612 KB Output is correct
12 Correct 4 ms 11612 KB Output is correct
13 Correct 3 ms 11612 KB Output is correct
14 Correct 4 ms 11356 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 11352 KB Output is correct
2 Correct 3 ms 11352 KB Output is correct
3 Correct 70 ms 22596 KB Output is correct
4 Correct 76 ms 34764 KB Output is correct
5 Correct 84 ms 25548 KB Output is correct
6 Correct 80 ms 26060 KB Output is correct
7 Correct 89 ms 26056 KB Output is correct
8 Correct 85 ms 30664 KB Output is correct
9 Correct 69 ms 28876 KB Output is correct
10 Correct 49 ms 19288 KB Output is correct
11 Correct 58 ms 22216 KB Output is correct
12 Correct 75 ms 24012 KB Output is correct
13 Correct 77 ms 36296 KB Output is correct
14 Correct 78 ms 34396 KB Output is correct
15 Correct 69 ms 22220 KB Output is correct
16 Correct 48 ms 22220 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 11352 KB Output is correct
2 Correct 79 ms 27592 KB Output is correct
3 Correct 82 ms 27848 KB Output is correct
4 Correct 80 ms 35892 KB Output is correct
5 Correct 73 ms 36296 KB Output is correct
6 Correct 81 ms 27448 KB Output is correct
7 Correct 63 ms 22216 KB Output is correct
8 Correct 65 ms 22216 KB Output is correct
9 Correct 46 ms 22216 KB Output is correct
10 Correct 64 ms 27684 KB Output is correct
11 Correct 71 ms 29528 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11352 KB Output is correct
2 Correct 78 ms 23088 KB Output is correct
3 Correct 83 ms 28620 KB Output is correct
4 Correct 79 ms 30664 KB Output is correct
5 Correct 77 ms 33740 KB Output is correct
6 Correct 76 ms 29968 KB Output is correct
7 Correct 60 ms 26568 KB Output is correct
8 Correct 59 ms 28508 KB Output is correct
9 Correct 44 ms 20360 KB Output is correct
10 Correct 74 ms 33632 KB Output is correct
11 Correct 72 ms 32456 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11352 KB Output is correct
2 Correct 3 ms 11456 KB Output is correct
3 Correct 4 ms 11356 KB Output is correct
4 Correct 4 ms 11356 KB Output is correct
5 Correct 4 ms 11612 KB Output is correct
6 Correct 3 ms 11356 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 3 ms 11356 KB Output is correct
9 Correct 3 ms 11356 KB Output is correct
10 Correct 4 ms 11612 KB Output is correct
11 Correct 4 ms 11612 KB Output is correct
12 Correct 4 ms 11612 KB Output is correct
13 Correct 3 ms 11612 KB Output is correct
14 Correct 4 ms 11356 KB Output is correct
15 Correct 4 ms 11352 KB Output is correct
16 Correct 3 ms 11352 KB Output is correct
17 Correct 70 ms 22596 KB Output is correct
18 Correct 76 ms 34764 KB Output is correct
19 Correct 84 ms 25548 KB Output is correct
20 Correct 80 ms 26060 KB Output is correct
21 Correct 89 ms 26056 KB Output is correct
22 Correct 85 ms 30664 KB Output is correct
23 Correct 69 ms 28876 KB Output is correct
24 Correct 49 ms 19288 KB Output is correct
25 Correct 58 ms 22216 KB Output is correct
26 Correct 75 ms 24012 KB Output is correct
27 Correct 77 ms 36296 KB Output is correct
28 Correct 78 ms 34396 KB Output is correct
29 Correct 69 ms 22220 KB Output is correct
30 Correct 48 ms 22220 KB Output is correct
31 Correct 4 ms 11352 KB Output is correct
32 Correct 79 ms 27592 KB Output is correct
33 Correct 82 ms 27848 KB Output is correct
34 Correct 80 ms 35892 KB Output is correct
35 Correct 73 ms 36296 KB Output is correct
36 Correct 81 ms 27448 KB Output is correct
37 Correct 63 ms 22216 KB Output is correct
38 Correct 65 ms 22216 KB Output is correct
39 Correct 46 ms 22216 KB Output is correct
40 Correct 64 ms 27684 KB Output is correct
41 Correct 71 ms 29528 KB Output is correct
42 Correct 3 ms 11352 KB Output is correct
43 Correct 78 ms 23088 KB Output is correct
44 Correct 83 ms 28620 KB Output is correct
45 Correct 79 ms 30664 KB Output is correct
46 Correct 77 ms 33740 KB Output is correct
47 Correct 76 ms 29968 KB Output is correct
48 Correct 60 ms 26568 KB Output is correct
49 Correct 59 ms 28508 KB Output is correct
50 Correct 44 ms 20360 KB Output is correct
51 Correct 74 ms 33632 KB Output is correct
52 Correct 72 ms 32456 KB Output is correct
53 Correct 3 ms 11356 KB Output is correct
54 Correct 3 ms 11356 KB Output is correct
55 Correct 3 ms 11356 KB Output is correct
56 Correct 4 ms 11356 KB Output is correct
57 Correct 4 ms 11608 KB Output is correct
58 Correct 3 ms 11356 KB Output is correct
59 Correct 4 ms 11356 KB Output is correct
60 Correct 4 ms 11376 KB Output is correct
61 Correct 4 ms 11356 KB Output is correct
62 Correct 3 ms 11612 KB Output is correct
63 Correct 3 ms 11472 KB Output is correct
64 Correct 4 ms 11608 KB Output is correct
65 Correct 4 ms 11608 KB Output is correct
66 Correct 3 ms 11356 KB Output is correct
67 Correct 71 ms 26896 KB Output is correct
68 Correct 81 ms 37836 KB Output is correct
69 Correct 78 ms 29644 KB Output is correct
70 Correct 80 ms 30480 KB Output is correct
71 Correct 80 ms 30448 KB Output is correct
72 Correct 84 ms 35296 KB Output is correct
73 Correct 74 ms 33224 KB Output is correct
74 Correct 57 ms 22984 KB Output is correct
75 Correct 61 ms 25544 KB Output is correct
76 Correct 70 ms 26824 KB Output is correct
77 Correct 78 ms 39068 KB Output is correct
78 Correct 83 ms 37584 KB Output is correct
79 Correct 65 ms 26568 KB Output is correct
80 Correct 50 ms 25800 KB Output is correct
81 Correct 102 ms 31840 KB Output is correct
82 Correct 86 ms 32200 KB Output is correct
83 Correct 89 ms 40396 KB Output is correct
84 Correct 77 ms 39368 KB Output is correct
85 Correct 88 ms 31908 KB Output is correct
86 Correct 65 ms 26708 KB Output is correct
87 Correct 70 ms 26824 KB Output is correct
88 Correct 72 ms 31436 KB Output is correct
89 Correct 69 ms 32460 KB Output is correct
90 Correct 82 ms 27596 KB Output is correct
91 Correct 71 ms 28544 KB Output is correct
92 Correct 74 ms 30664 KB Output is correct
93 Correct 84 ms 33724 KB Output is correct
94 Correct 76 ms 29900 KB Output is correct
95 Correct 67 ms 26568 KB Output is correct
96 Correct 56 ms 28616 KB Output is correct
97 Correct 44 ms 20276 KB Output is correct
98 Correct 72 ms 33632 KB Output is correct
99 Correct 65 ms 32428 KB Output is correct
100 Correct 34 ms 15048 KB Output is correct
101 Correct 78 ms 28872 KB Output is correct
102 Correct 58 ms 26828 KB Output is correct
103 Correct 74 ms 24524 KB Output is correct
104 Correct 81 ms 26824 KB Output is correct