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Submission #654355

# Submission time Handle Problem Language Result Execution time Memory
654355 2022-10-31T07:25:54 Z AlperenT Stranded Far From Home (BOI22_island) C++17
100 / 100
 234 ms 35640 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 5;

int n, m, cnt[N];

struct DSU{
    int par[N];
    long long sum[N];
    vector<int> nodes[N];

    DSU(){
        for(int i = 1; i < N; i++){
            par[i] = i;
            nodes[i] = {i};
        }
    }

    int setfind(int a){
        if(par[a] == a) return a;
        else return par[a] = setfind(par[a]);
    }

    void setunion(int a, int b){
        a = setfind(a), b = setfind(b);

        if(a != b){
            if(nodes[b].size() > nodes[a].size()) swap(a, b);

            par[b] = par[a];
            sum[a] += sum[b];

            for(auto x : nodes[b]) nodes[a].push_back(x);
            nodes[b].clear();
        }
    }
};

DSU dsu;

pair<int, int> arr[N];

vector<int> graph[N];

int main(){
    ios_base::sync_with_stdio(false);cin.tie(NULL);

    cin >> n >> m;

    for(int i = 1; i <= n; i++){
        cin >> cnt[i];

        arr[i] = {cnt[i], i};

        dsu.sum[i] = cnt[i];
    }

    sort(arr + 1, arr + n + 1);

    for(int i = 0; i < m; i++){
        int a, b;

        cin >> a >> b;

        graph[a].push_back(b);
        graph[b].push_back(a);
    }

    for(int i = 1; i <= n; i++){
        int v = arr[i].second;

        for(auto e : graph[v]){
            if(cnt[e] <= cnt[v] && dsu.setfind(v) != dsu.setfind(e)){
                if(dsu.sum[dsu.setfind(e)] < cnt[v]) dsu.nodes[dsu.setfind(e)].clear();

                dsu.setunion(v, e);
            }
        }
    }

    string ans(n, '0');

    for(auto x : dsu.nodes[dsu.setfind(arr[n].second)]) ans[x - 1] = '1';

    cout << ans;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 16724 KB Output is correct
2 Correct 15 ms 16776 KB Output is correct
3 Correct 14 ms 16724 KB Output is correct
4 Correct 17 ms 16848 KB Output is correct
5 Correct 16 ms 16924 KB Output is correct
6 Correct 17 ms 16796 KB Output is correct
7 Correct 19 ms 16852 KB Output is correct
8 Correct 17 ms 16904 KB Output is correct
9 Correct 16 ms 16924 KB Output is correct
10 Correct 16 ms 16896 KB Output is correct
11 Correct 17 ms 16852 KB Output is correct
12 Correct 17 ms 16920 KB Output is correct
13 Correct 17 ms 16852 KB Output is correct
14 Correct 17 ms 16928 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 16724 KB Output is correct
2 Correct 14 ms 16784 KB Output is correct
3 Correct 144 ms 32580 KB Output is correct
4 Correct 144 ms 31248 KB Output is correct
5 Correct 179 ms 34020 KB Output is correct
6 Correct 199 ms 34492 KB Output is correct
7 Correct 176 ms 34328 KB Output is correct
8 Correct 156 ms 32480 KB Output is correct
9 Correct 170 ms 35640 KB Output is correct
10 Correct 110 ms 31680 KB Output is correct
11 Correct 144 ms 32664 KB Output is correct
12 Correct 157 ms 31436 KB Output is correct
13 Correct 134 ms 30996 KB Output is correct
14 Correct 132 ms 31244 KB Output is correct
15 Correct 144 ms 32456 KB Output is correct
16 Correct 84 ms 31700 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 16724 KB Output is correct
2 Correct 207 ms 35252 KB Output is correct
3 Correct 213 ms 35396 KB Output is correct
4 Correct 160 ms 32500 KB Output is correct
5 Correct 148 ms 30972 KB Output is correct
6 Correct 204 ms 35504 KB Output is correct
7 Correct 157 ms 32572 KB Output is correct
8 Correct 159 ms 32568 KB Output is correct
9 Correct 86 ms 31684 KB Output is correct
10 Correct 146 ms 31632 KB Output is correct
11 Correct 166 ms 31384 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 16724 KB Output is correct
2 Correct 233 ms 33236 KB Output is correct
3 Correct 214 ms 33616 KB Output is correct
4 Correct 229 ms 34688 KB Output is correct
5 Correct 219 ms 35572 KB Output is correct
6 Correct 202 ms 33440 KB Output is correct
7 Correct 127 ms 33576 KB Output is correct
8 Correct 85 ms 31380 KB Output is correct
9 Correct 112 ms 26316 KB Output is correct
10 Correct 213 ms 34824 KB Output is correct
11 Correct 171 ms 31300 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 16724 KB Output is correct
2 Correct 15 ms 16776 KB Output is correct
3 Correct 14 ms 16724 KB Output is correct
4 Correct 17 ms 16848 KB Output is correct
5 Correct 16 ms 16924 KB Output is correct
6 Correct 17 ms 16796 KB Output is correct
7 Correct 19 ms 16852 KB Output is correct
8 Correct 17 ms 16904 KB Output is correct
9 Correct 16 ms 16924 KB Output is correct
10 Correct 16 ms 16896 KB Output is correct
11 Correct 17 ms 16852 KB Output is correct
12 Correct 17 ms 16920 KB Output is correct
13 Correct 17 ms 16852 KB Output is correct
14 Correct 17 ms 16928 KB Output is correct
15 Correct 13 ms 16724 KB Output is correct
16 Correct 14 ms 16784 KB Output is correct
17 Correct 144 ms 32580 KB Output is correct
18 Correct 144 ms 31248 KB Output is correct
19 Correct 179 ms 34020 KB Output is correct
20 Correct 199 ms 34492 KB Output is correct
21 Correct 176 ms 34328 KB Output is correct
22 Correct 156 ms 32480 KB Output is correct
23 Correct 170 ms 35640 KB Output is correct
24 Correct 110 ms 31680 KB Output is correct
25 Correct 144 ms 32664 KB Output is correct
26 Correct 157 ms 31436 KB Output is correct
27 Correct 134 ms 30996 KB Output is correct
28 Correct 132 ms 31244 KB Output is correct
29 Correct 144 ms 32456 KB Output is correct
30 Correct 84 ms 31700 KB Output is correct
31 Correct 13 ms 16724 KB Output is correct
32 Correct 207 ms 35252 KB Output is correct
33 Correct 213 ms 35396 KB Output is correct
34 Correct 160 ms 32500 KB Output is correct
35 Correct 148 ms 30972 KB Output is correct
36 Correct 204 ms 35504 KB Output is correct
37 Correct 157 ms 32572 KB Output is correct
38 Correct 159 ms 32568 KB Output is correct
39 Correct 86 ms 31684 KB Output is correct
40 Correct 146 ms 31632 KB Output is correct
41 Correct 166 ms 31384 KB Output is correct
42 Correct 16 ms 16724 KB Output is correct
43 Correct 233 ms 33236 KB Output is correct
44 Correct 214 ms 33616 KB Output is correct
45 Correct 229 ms 34688 KB Output is correct
46 Correct 219 ms 35572 KB Output is correct
47 Correct 202 ms 33440 KB Output is correct
48 Correct 127 ms 33576 KB Output is correct
49 Correct 85 ms 31380 KB Output is correct
50 Correct 112 ms 26316 KB Output is correct
51 Correct 213 ms 34824 KB Output is correct
52 Correct 171 ms 31300 KB Output is correct
53 Correct 14 ms 16780 KB Output is correct
54 Correct 14 ms 16660 KB Output is correct
55 Correct 14 ms 16784 KB Output is correct
56 Correct 18 ms 16852 KB Output is correct
57 Correct 17 ms 16852 KB Output is correct
58 Correct 17 ms 16812 KB Output is correct
59 Correct 17 ms 16880 KB Output is correct
60 Correct 17 ms 16844 KB Output is correct
61 Correct 17 ms 16808 KB Output is correct
62 Correct 17 ms 16840 KB Output is correct
63 Correct 17 ms 16852 KB Output is correct
64 Correct 17 ms 16852 KB Output is correct
65 Correct 19 ms 16924 KB Output is correct
66 Correct 17 ms 16852 KB Output is correct
67 Correct 137 ms 32620 KB Output is correct
68 Correct 134 ms 31248 KB Output is correct
69 Correct 180 ms 33976 KB Output is correct
70 Correct 226 ms 34596 KB Output is correct
71 Correct 201 ms 34404 KB Output is correct
72 Correct 164 ms 32568 KB Output is correct
73 Correct 190 ms 35572 KB Output is correct
74 Correct 126 ms 31728 KB Output is correct
75 Correct 125 ms 32552 KB Output is correct
76 Correct 177 ms 31436 KB Output is correct
77 Correct 117 ms 30988 KB Output is correct
78 Correct 142 ms 31280 KB Output is correct
79 Correct 146 ms 32484 KB Output is correct
80 Correct 83 ms 31704 KB Output is correct
81 Correct 213 ms 35396 KB Output is correct
82 Correct 192 ms 35388 KB Output is correct
83 Correct 143 ms 32584 KB Output is correct
84 Correct 143 ms 30980 KB Output is correct
85 Correct 191 ms 35400 KB Output is correct
86 Correct 151 ms 32564 KB Output is correct
87 Correct 149 ms 32476 KB Output is correct
88 Correct 147 ms 31420 KB Output is correct
89 Correct 175 ms 31364 KB Output is correct
90 Correct 227 ms 33252 KB Output is correct
91 Correct 228 ms 33760 KB Output is correct
92 Correct 234 ms 34756 KB Output is correct
93 Correct 219 ms 35520 KB Output is correct
94 Correct 213 ms 33488 KB Output is correct
95 Correct 130 ms 33592 KB Output is correct
96 Correct 95 ms 31280 KB Output is correct
97 Correct 123 ms 26264 KB Output is correct
98 Correct 208 ms 34804 KB Output is correct
99 Correct 156 ms 31380 KB Output is correct
100 Correct 51 ms 21008 KB Output is correct
101 Correct 213 ms 33980 KB Output is correct
102 Correct 182 ms 30580 KB Output is correct
103 Correct 193 ms 30424 KB Output is correct
104 Correct 205 ms 32716 KB Output is correct