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Submission #581884

# Submission time Handle Problem Language Result Execution time Memory
581884 2022-06-23T07:41:32 Z tengiz05 Stranded Far From Home (BOI22_island) C++17
100 / 100
 165 ms 25572 KB 
#include <bits/stdc++.h>

using namespace std;
using i64 = long long;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int n, m;
    cin >> n >> m;
    
    vector<int> s(n);
    for (int i = 0; i < n; i++) {
        cin >> s[i];
    }
    
    vector<pair<int, int>> e;
    for (int i = 0; i < m; i++) {
        int u, v;
        cin >> u >> v;
        u--;
        v--;
        e.emplace_back(u, v);
    }
    
    sort(e.begin(), e.end(), [&](const pair<int, int> &a, const pair<int, int> &b) {
        return max(s[a.first], s[a.second]) < max(s[b.first], s[b.second]);
    });
    
    vector<int> p(n), mx(n);
    vector<i64> sum(n);
    vector<vector<int>> win(n);
    
    for (int i = 0; i < n; i++) {
        p[i] = i;
        mx[i] = sum[i] = s[i];
        win[i] = {i};
    }
    
    auto leader = [&](int u) {
        while (u != p[u]) u = p[u] = p[p[u]];
        return u;
    };
    
    auto unite = [&](int u, int v) {
        u = leader(u);
        v = leader(v);
        if (u == v)
            return;
        if (sum[u] < mx[v])
            win[u].clear();
        if (sum[v] < mx[u])
            win[v].clear();
        if (win[u].size() < win[v].size())
            swap(u, v);
        win[u].insert(win[u].end(), win[v].begin(), win[v].end());
        win[v].clear();
        sum[u] += sum[v];
        mx[u] = max(mx[u], mx[v]);
        p[v] = u;
    };
    
    for (auto [u, v] : e) {
        unite(u, v);
    }
    
    vector<int> ans(n);
    
    for (int u : win[leader(0)]) {
        ans[u] = 1;
    }
    
    for (int i = 0; i < n; i++) {
        cout << ans[i];
    }
    cout << "\n";
    
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 2 ms 476 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 596 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 120 ms 19184 KB Output is correct
4 Correct 121 ms 25196 KB Output is correct
5 Correct 110 ms 20696 KB Output is correct
6 Correct 111 ms 21412 KB Output is correct
7 Correct 123 ms 21360 KB Output is correct
8 Correct 146 ms 22684 KB Output is correct
9 Correct 103 ms 22220 KB Output is correct
10 Correct 83 ms 17736 KB Output is correct
11 Correct 111 ms 18776 KB Output is correct
12 Correct 118 ms 19568 KB Output is correct
13 Correct 129 ms 25284 KB Output is correct
14 Correct 135 ms 24728 KB Output is correct
15 Correct 122 ms 18716 KB Output is correct
16 Correct 76 ms 18500 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 129 ms 21880 KB Output is correct
3 Correct 138 ms 21604 KB Output is correct
4 Correct 140 ms 25240 KB Output is correct
5 Correct 143 ms 25460 KB Output is correct
6 Correct 138 ms 21832 KB Output is correct
7 Correct 107 ms 18672 KB Output is correct
8 Correct 98 ms 18720 KB Output is correct
9 Correct 76 ms 18504 KB Output is correct
10 Correct 126 ms 21368 KB Output is correct
11 Correct 126 ms 22604 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 131 ms 19912 KB Output is correct
3 Correct 117 ms 20036 KB Output is correct
4 Correct 125 ms 20936 KB Output is correct
5 Correct 137 ms 21832 KB Output is correct
6 Correct 160 ms 19444 KB Output is correct
7 Correct 100 ms 18744 KB Output is correct
8 Correct 83 ms 20928 KB Output is correct
9 Correct 84 ms 10544 KB Output is correct
10 Correct 123 ms 22632 KB Output is correct
11 Correct 109 ms 22400 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 2 ms 476 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 256 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 120 ms 19184 KB Output is correct
18 Correct 121 ms 25196 KB Output is correct
19 Correct 110 ms 20696 KB Output is correct
20 Correct 111 ms 21412 KB Output is correct
21 Correct 123 ms 21360 KB Output is correct
22 Correct 146 ms 22684 KB Output is correct
23 Correct 103 ms 22220 KB Output is correct
24 Correct 83 ms 17736 KB Output is correct
25 Correct 111 ms 18776 KB Output is correct
26 Correct 118 ms 19568 KB Output is correct
27 Correct 129 ms 25284 KB Output is correct
28 Correct 135 ms 24728 KB Output is correct
29 Correct 122 ms 18716 KB Output is correct
30 Correct 76 ms 18500 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 129 ms 21880 KB Output is correct
33 Correct 138 ms 21604 KB Output is correct
34 Correct 140 ms 25240 KB Output is correct
35 Correct 143 ms 25460 KB Output is correct
36 Correct 138 ms 21832 KB Output is correct
37 Correct 107 ms 18672 KB Output is correct
38 Correct 98 ms 18720 KB Output is correct
39 Correct 76 ms 18504 KB Output is correct
40 Correct 126 ms 21368 KB Output is correct
41 Correct 126 ms 22604 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 131 ms 19912 KB Output is correct
44 Correct 117 ms 20036 KB Output is correct
45 Correct 125 ms 20936 KB Output is correct
46 Correct 137 ms 21832 KB Output is correct
47 Correct 160 ms 19444 KB Output is correct
48 Correct 100 ms 18744 KB Output is correct
49 Correct 83 ms 20928 KB Output is correct
50 Correct 84 ms 10544 KB Output is correct
51 Correct 123 ms 22632 KB Output is correct
52 Correct 109 ms 22400 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 0 ms 212 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 2 ms 468 KB Output is correct
58 Correct 1 ms 468 KB Output is correct
59 Correct 1 ms 468 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 2 ms 468 KB Output is correct
62 Correct 1 ms 468 KB Output is correct
63 Correct 1 ms 468 KB Output is correct
64 Correct 2 ms 468 KB Output is correct
65 Correct 1 ms 468 KB Output is correct
66 Correct 1 ms 468 KB Output is correct
67 Correct 98 ms 19164 KB Output is correct
68 Correct 118 ms 25028 KB Output is correct
69 Correct 118 ms 20648 KB Output is correct
70 Correct 119 ms 21428 KB Output is correct
71 Correct 136 ms 21312 KB Output is correct
72 Correct 128 ms 22664 KB Output is correct
73 Correct 100 ms 22260 KB Output is correct
74 Correct 85 ms 17728 KB Output is correct
75 Correct 101 ms 18712 KB Output is correct
76 Correct 151 ms 19536 KB Output is correct
77 Correct 125 ms 25352 KB Output is correct
78 Correct 125 ms 24652 KB Output is correct
79 Correct 101 ms 18668 KB Output is correct
80 Correct 78 ms 18496 KB Output is correct
81 Correct 126 ms 21924 KB Output is correct
82 Correct 131 ms 21648 KB Output is correct
83 Correct 150 ms 25144 KB Output is correct
84 Correct 124 ms 25572 KB Output is correct
85 Correct 124 ms 21860 KB Output is correct
86 Correct 102 ms 18676 KB Output is correct
87 Correct 102 ms 18740 KB Output is correct
88 Correct 114 ms 21424 KB Output is correct
89 Correct 131 ms 22568 KB Output is correct
90 Correct 113 ms 19808 KB Output is correct
91 Correct 114 ms 19996 KB Output is correct
92 Correct 125 ms 21060 KB Output is correct
93 Correct 165 ms 21832 KB Output is correct
94 Correct 130 ms 19324 KB Output is correct
95 Correct 101 ms 18652 KB Output is correct
96 Correct 87 ms 21036 KB Output is correct
97 Correct 72 ms 10564 KB Output is correct
98 Correct 140 ms 22604 KB Output is correct
99 Correct 111 ms 22460 KB Output is correct
100 Correct 46 ms 2424 KB Output is correct
101 Correct 144 ms 20224 KB Output is correct
102 Correct 115 ms 15760 KB Output is correct
103 Correct 110 ms 16072 KB Output is correct
104 Correct 122 ms 19276 KB Output is correct