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Submission #576723

# Submission time Handle Problem Language Result Execution time Memory
576723 2022-06-13T10:51:39 Z InternetPerson10 Stranded Far From Home (BOI22_island) C++17
100 / 100
 125 ms 9224 KB 
#include <bits/stdc++.h>
typedef long long ll;

using namespace std;

vector<int> nums;
vector<bool> ans;
vector<pair<int, pair<int, int>>> pairs;

struct dsu {
    vector<ll> par, siz;
    dsu(int n) {
        par.resize(n);
        siz.resize(n);
        for(int i = 0; i < n; i++) {
            par[i] = i;
            siz[i] = nums[i];
        }
    }
    int get(int x) {
        if(x == par[x]) return x;
        if(ans[par[x]] == 0) ans[x] = 0;
        get(par[x]);
        if(ans[par[x]] == 0) ans[x] = 0;
        return par[x] = get(par[x]);
    }
    ll getsiz(int x) {
        return siz[get(x)];
    }
    bool unite(int x, int y) {
        x = get(x); y = get(y);
        if(x == y) return false;
        if(siz[x] > siz[y]) swap(x, y);
        par[x] = y;
        siz[y] += siz[x];
        return true;
    }
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    nums.resize(n);
    ans.resize(n, 1);
    pairs.resize(m);
    for(int i = 0; i < n; i++) {
        cin >> nums[i];
    }
    dsu uf(n);
    for(int i = 0; i < m; i++) {
        int x, y;
        cin >> x >> y;
        x--; y--;
        pairs.push_back({max(nums[x], nums[y]), {x, y}});
    }
    sort(pairs.begin(), pairs.end());
    for(auto p : pairs) {
        int x, y;
        tie(x, y) = p.second;
        if(uf.getsiz(x) < nums[y]) ans[uf.get(x)] = 0;
        if(uf.getsiz(y) < nums[x]) ans[uf.get(y)] = 0;
        uf.unite(x, y);
    }
    for(int i = 0; i < n; i++) {
        uf.get(i);
        cout << ans[i];
    }
    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 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 111 ms 9120 KB Output is correct
4 Correct 101 ms 9048 KB Output is correct
5 Correct 94 ms 8816 KB Output is correct
6 Correct 104 ms 9032 KB Output is correct
7 Correct 101 ms 9092 KB Output is correct
8 Correct 102 ms 9140 KB Output is correct
9 Correct 103 ms 9200 KB Output is correct
10 Correct 91 ms 9088 KB Output is correct
11 Correct 86 ms 9136 KB Output is correct
12 Correct 93 ms 9108 KB Output is correct
13 Correct 96 ms 9052 KB Output is correct
14 Correct 89 ms 9160 KB Output is correct
15 Correct 92 ms 9040 KB Output is correct
16 Correct 93 ms 8996 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 104 ms 9012 KB Output is correct
3 Correct 104 ms 9156 KB Output is correct
4 Correct 96 ms 9140 KB Output is correct
5 Correct 87 ms 9088 KB Output is correct
6 Correct 109 ms 9204 KB Output is correct
7 Correct 93 ms 9036 KB Output is correct
8 Correct 98 ms 9188 KB Output is correct
9 Correct 85 ms 9060 KB Output is correct
10 Correct 96 ms 9080 KB Output is correct
11 Correct 95 ms 9064 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 109 ms 9052 KB Output is correct
3 Correct 125 ms 9100 KB Output is correct
4 Correct 116 ms 9092 KB Output is correct
5 Correct 100 ms 9076 KB Output is correct
6 Correct 122 ms 8872 KB Output is correct
7 Correct 99 ms 9208 KB Output is correct
8 Correct 78 ms 9036 KB Output is correct
9 Correct 79 ms 6996 KB Output is correct
10 Correct 94 ms 9068 KB Output is correct
11 Correct 101 ms 9100 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 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 111 ms 9120 KB Output is correct
18 Correct 101 ms 9048 KB Output is correct
19 Correct 94 ms 8816 KB Output is correct
20 Correct 104 ms 9032 KB Output is correct
21 Correct 101 ms 9092 KB Output is correct
22 Correct 102 ms 9140 KB Output is correct
23 Correct 103 ms 9200 KB Output is correct
24 Correct 91 ms 9088 KB Output is correct
25 Correct 86 ms 9136 KB Output is correct
26 Correct 93 ms 9108 KB Output is correct
27 Correct 96 ms 9052 KB Output is correct
28 Correct 89 ms 9160 KB Output is correct
29 Correct 92 ms 9040 KB Output is correct
30 Correct 93 ms 8996 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 104 ms 9012 KB Output is correct
33 Correct 104 ms 9156 KB Output is correct
34 Correct 96 ms 9140 KB Output is correct
35 Correct 87 ms 9088 KB Output is correct
36 Correct 109 ms 9204 KB Output is correct
37 Correct 93 ms 9036 KB Output is correct
38 Correct 98 ms 9188 KB Output is correct
39 Correct 85 ms 9060 KB Output is correct
40 Correct 96 ms 9080 KB Output is correct
41 Correct 95 ms 9064 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 109 ms 9052 KB Output is correct
44 Correct 125 ms 9100 KB Output is correct
45 Correct 116 ms 9092 KB Output is correct
46 Correct 100 ms 9076 KB Output is correct
47 Correct 122 ms 8872 KB Output is correct
48 Correct 99 ms 9208 KB Output is correct
49 Correct 78 ms 9036 KB Output is correct
50 Correct 79 ms 6996 KB Output is correct
51 Correct 94 ms 9068 KB Output is correct
52 Correct 101 ms 9100 KB Output is correct
53 Correct 1 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 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 99 ms 9088 KB Output is correct
68 Correct 86 ms 9100 KB Output is correct
69 Correct 115 ms 8808 KB Output is correct
70 Correct 102 ms 9068 KB Output is correct
71 Correct 96 ms 9080 KB Output is correct
72 Correct 99 ms 9128 KB Output is correct
73 Correct 97 ms 9108 KB Output is correct
74 Correct 101 ms 9068 KB Output is correct
75 Correct 87 ms 9112 KB Output is correct
76 Correct 90 ms 9208 KB Output is correct
77 Correct 88 ms 9096 KB Output is correct
78 Correct 86 ms 9096 KB Output is correct
79 Correct 89 ms 9148 KB Output is correct
80 Correct 87 ms 9040 KB Output is correct
81 Correct 124 ms 9120 KB Output is correct
82 Correct 101 ms 9076 KB Output is correct
83 Correct 93 ms 9072 KB Output is correct
84 Correct 84 ms 9148 KB Output is correct
85 Correct 98 ms 9120 KB Output is correct
86 Correct 88 ms 9096 KB Output is correct
87 Correct 96 ms 9076 KB Output is correct
88 Correct 93 ms 9204 KB Output is correct
89 Correct 91 ms 9084 KB Output is correct
90 Correct 107 ms 9068 KB Output is correct
91 Correct 125 ms 9040 KB Output is correct
92 Correct 104 ms 9044 KB Output is correct
93 Correct 111 ms 9064 KB Output is correct
94 Correct 103 ms 8776 KB Output is correct
95 Correct 92 ms 9124 KB Output is correct
96 Correct 79 ms 9224 KB Output is correct
97 Correct 85 ms 6996 KB Output is correct
98 Correct 108 ms 9164 KB Output is correct
99 Correct 112 ms 9028 KB Output is correct
100 Correct 62 ms 5036 KB Output is correct
101 Correct 105 ms 9148 KB Output is correct
102 Correct 92 ms 8224 KB Output is correct
103 Correct 109 ms 8364 KB Output is correct
104 Correct 104 ms 9052 KB Output is correct