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Submission #1109597

# Submission time Handle Problem Language Result Execution time Memory
1109597 2024-11-07T06:48:05 Z dwuy Stranded Far From Home (BOI22_island) C++14
100 / 100
 187 ms 43192 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int MX = 200005;
int f[MX];
int e[MX];
int n, m;
int a[MX];
vector<int> ans[MX];
vector<int> G[MX];

int fp(int u){
    return e[u] < 0? u : e[u] = fp(e[u]);
}

void unon(int u, int v){
    u = fp(u);
    v = fp(v);
    if(u == v) return;
    if(e[u] > e[v]) swap(u, v);
    e[u] += e[v];
    f[u] += f[v];
    e[v] = u;
    f[v] = 0;
    if(ans[u].size() < ans[v].size()) swap(ans[u], ans[v]);
    for(int x: ans[v]) ans[u].push_back(x);
    ans[v].clear();
}   

int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> n >> m;
    for(int i=1; i<=n; i++) cin >> a[i];
    for(int i=1; i<=m; i++){
        int u, v;
        cin >> u >> v;
        G[u].push_back(v);
        G[v].push_back(u);
    }

    vector<int> b(n);
    for(int i=1; i<=n; i++) b[i - 1] = i;
    sort(b.begin(), b.end(), [&](const int &i, const int &j) -> bool { return a[i] < a[j]; });

    for(int i=1; i<=n; i++) f[i] = a[i];
    for(int i=1; i<=n; i++) e[i] = -1;
    for(int i=1; i<=n; i++) ans[i].push_back(i);
    bitset<MX> active = 0;
    for(int u: b){
        int cur = u;
        active[u] = 1;
        for(int v: G[u]) if(active[v] && cur != fp(v)){
            v = fp(v);
            if(f[v] < a[u]) ans[v].clear();
            unon(cur, v);
            cur = fp(cur);
        }
    }

    int u = fp(1);
    bitset<MX> homo = 0;
    for(int x: ans[u]) homo[x]  =1;
    for(int i=1; i<=n; i++) cout << homo[i];

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13048 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 3 ms 12880 KB Output is correct
4 Correct 3 ms 13136 KB Output is correct
5 Correct 4 ms 13136 KB Output is correct
6 Correct 4 ms 13136 KB Output is correct
7 Correct 4 ms 13008 KB Output is correct
8 Correct 4 ms 13136 KB Output is correct
9 Correct 4 ms 13164 KB Output is correct
10 Correct 4 ms 13136 KB Output is correct
11 Correct 4 ms 13136 KB Output is correct
12 Correct 3 ms 13136 KB Output is correct
13 Correct 4 ms 13136 KB Output is correct
14 Correct 3 ms 13136 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 122 ms 33040 KB Output is correct
4 Correct 142 ms 41080 KB Output is correct
5 Correct 125 ms 38584 KB Output is correct
6 Correct 128 ms 38844 KB Output is correct
7 Correct 137 ms 39672 KB Output is correct
8 Correct 171 ms 39148 KB Output is correct
9 Correct 124 ms 43060 KB Output is correct
10 Correct 83 ms 34468 KB Output is correct
11 Correct 125 ms 38328 KB Output is correct
12 Correct 135 ms 33220 KB Output is correct
13 Correct 110 ms 40892 KB Output is correct
14 Correct 102 ms 37196 KB Output is correct
15 Correct 114 ms 33444 KB Output is correct
16 Correct 89 ms 31676 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12880 KB Output is correct
2 Correct 164 ms 40220 KB Output is correct
3 Correct 187 ms 40000 KB Output is correct
4 Correct 123 ms 42736 KB Output is correct
5 Correct 104 ms 41780 KB Output is correct
6 Correct 173 ms 39760 KB Output is correct
7 Correct 141 ms 36164 KB Output is correct
8 Correct 129 ms 36260 KB Output is correct
9 Correct 81 ms 35144 KB Output is correct
10 Correct 127 ms 36288 KB Output is correct
11 Correct 159 ms 38456 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12880 KB Output is correct
2 Correct 169 ms 37280 KB Output is correct
3 Correct 159 ms 33612 KB Output is correct
4 Correct 172 ms 38956 KB Output is correct
5 Correct 162 ms 38700 KB Output is correct
6 Correct 184 ms 38332 KB Output is correct
7 Correct 106 ms 39096 KB Output is correct
8 Correct 96 ms 39356 KB Output is correct
9 Correct 78 ms 26952 KB Output is correct
10 Correct 140 ms 43064 KB Output is correct
11 Correct 138 ms 38456 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13048 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 3 ms 12880 KB Output is correct
4 Correct 3 ms 13136 KB Output is correct
5 Correct 4 ms 13136 KB Output is correct
6 Correct 4 ms 13136 KB Output is correct
7 Correct 4 ms 13008 KB Output is correct
8 Correct 4 ms 13136 KB Output is correct
9 Correct 4 ms 13164 KB Output is correct
10 Correct 4 ms 13136 KB Output is correct
11 Correct 4 ms 13136 KB Output is correct
12 Correct 3 ms 13136 KB Output is correct
13 Correct 4 ms 13136 KB Output is correct
14 Correct 3 ms 13136 KB Output is correct
15 Correct 3 ms 12880 KB Output is correct
16 Correct 3 ms 12880 KB Output is correct
17 Correct 122 ms 33040 KB Output is correct
18 Correct 142 ms 41080 KB Output is correct
19 Correct 125 ms 38584 KB Output is correct
20 Correct 128 ms 38844 KB Output is correct
21 Correct 137 ms 39672 KB Output is correct
22 Correct 171 ms 39148 KB Output is correct
23 Correct 124 ms 43060 KB Output is correct
24 Correct 83 ms 34468 KB Output is correct
25 Correct 125 ms 38328 KB Output is correct
26 Correct 135 ms 33220 KB Output is correct
27 Correct 110 ms 40892 KB Output is correct
28 Correct 102 ms 37196 KB Output is correct
29 Correct 114 ms 33444 KB Output is correct
30 Correct 89 ms 31676 KB Output is correct
31 Correct 3 ms 12880 KB Output is correct
32 Correct 164 ms 40220 KB Output is correct
33 Correct 187 ms 40000 KB Output is correct
34 Correct 123 ms 42736 KB Output is correct
35 Correct 104 ms 41780 KB Output is correct
36 Correct 173 ms 39760 KB Output is correct
37 Correct 141 ms 36164 KB Output is correct
38 Correct 129 ms 36260 KB Output is correct
39 Correct 81 ms 35144 KB Output is correct
40 Correct 127 ms 36288 KB Output is correct
41 Correct 159 ms 38456 KB Output is correct
42 Correct 3 ms 12880 KB Output is correct
43 Correct 169 ms 37280 KB Output is correct
44 Correct 159 ms 33612 KB Output is correct
45 Correct 172 ms 38956 KB Output is correct
46 Correct 162 ms 38700 KB Output is correct
47 Correct 184 ms 38332 KB Output is correct
48 Correct 106 ms 39096 KB Output is correct
49 Correct 96 ms 39356 KB Output is correct
50 Correct 78 ms 26952 KB Output is correct
51 Correct 140 ms 43064 KB Output is correct
52 Correct 138 ms 38456 KB Output is correct
53 Correct 3 ms 12880 KB Output is correct
54 Correct 3 ms 12880 KB Output is correct
55 Correct 3 ms 12880 KB Output is correct
56 Correct 4 ms 13136 KB Output is correct
57 Correct 4 ms 13136 KB Output is correct
58 Correct 4 ms 13204 KB Output is correct
59 Correct 4 ms 13304 KB Output is correct
60 Correct 4 ms 13136 KB Output is correct
61 Correct 4 ms 13136 KB Output is correct
62 Correct 4 ms 13136 KB Output is correct
63 Correct 4 ms 13136 KB Output is correct
64 Correct 3 ms 13136 KB Output is correct
65 Correct 3 ms 13136 KB Output is correct
66 Correct 4 ms 13136 KB Output is correct
67 Correct 110 ms 33040 KB Output is correct
68 Correct 107 ms 39612 KB Output is correct
69 Correct 137 ms 38584 KB Output is correct
70 Correct 136 ms 39100 KB Output is correct
71 Correct 141 ms 39160 KB Output is correct
72 Correct 137 ms 39612 KB Output is correct
73 Correct 117 ms 43192 KB Output is correct
74 Correct 92 ms 34496 KB Output is correct
75 Correct 92 ms 37876 KB Output is correct
76 Correct 140 ms 36292 KB Output is correct
77 Correct 104 ms 39868 KB Output is correct
78 Correct 114 ms 40124 KB Output is correct
79 Correct 85 ms 36284 KB Output is correct
80 Correct 69 ms 35260 KB Output is correct
81 Correct 139 ms 39604 KB Output is correct
82 Correct 147 ms 40756 KB Output is correct
83 Correct 110 ms 42168 KB Output is correct
84 Correct 111 ms 41780 KB Output is correct
85 Correct 157 ms 40476 KB Output is correct
86 Correct 113 ms 36252 KB Output is correct
87 Correct 130 ms 36168 KB Output is correct
88 Correct 123 ms 35752 KB Output is correct
89 Correct 165 ms 37528 KB Output is correct
90 Correct 169 ms 37172 KB Output is correct
91 Correct 143 ms 37956 KB Output is correct
92 Correct 144 ms 37688 KB Output is correct
93 Correct 147 ms 43140 KB Output is correct
94 Correct 122 ms 39072 KB Output is correct
95 Correct 95 ms 38468 KB Output is correct
96 Correct 85 ms 37820 KB Output is correct
97 Correct 71 ms 26220 KB Output is correct
98 Correct 134 ms 43192 KB Output is correct
99 Correct 150 ms 37688 KB Output is correct
100 Correct 35 ms 18760 KB Output is correct
101 Correct 156 ms 36544 KB Output is correct
102 Correct 118 ms 34908 KB Output is correct
103 Correct 127 ms 33216 KB Output is correct
104 Correct 171 ms 36268 KB Output is correct