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Submission #852607

# Submission time Handle Problem Language Result Execution time Memory
852607 2023-09-22T07:51:06 Z 12345678 Stranded Far From Home (BOI22_island) C++17
100 / 100
 94 ms 21152 KB 
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const int nx=2e5+5;
ll n, m, sz[2*nx], u, v, dsu[2*nx], cnt;
vector<tuple<int, int, int>> d;
vector<pair<int, int>> p;
bool can[2*nx];

int find(int x)
{
    if (dsu[x]==x) return x;
    return dsu[x]=find(dsu[x]);
}

void dfs(int u)
{
    if (u<=n) return;
    if (!can[u]) can[p[u].first]=can[p[u].second]=0;
    dfs(p[u].first); dfs(p[u].second);
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>m;
    for (int i=1; i<=2*n; i++) can[i]=1, dsu[i]=i;
    for (int i=1; i<=n; i++) cin>>sz[i];
    for (int i=0; i<m; i++) cin>>u>>v, d.push_back({max(sz[u], sz[v]), u, v});
    sort(d.begin(), d.end());
    p.resize(n+1); cnt=n;
    for (int i=0; i<m; i++)
    {
        auto [w, u, v]=d[i];
        int pu=find(u), pv=find(v);
        if (pu==pv) continue;
        if (sz[pu]<w) can[pu]=0;
        if (sz[pv]<w) can[pv]=0;
        dsu[pu]=dsu[pv]=++cnt;
        sz[cnt]=sz[pu]+sz[pv];
        p.push_back({pu, pv});
    }
    dfs(cnt);
    for (int i=2; i<=n; i++) 
    {
        if (find(i)!=find(1)) 
        {
            cout<<string(n, '0');
            return 0;
        }
    }
    for (int i=1; i<=n; i++) cout<<(can[i]?'1':'0');
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4636 KB Output is correct
3 Correct 1 ms 4696 KB Output is correct
4 Correct 2 ms 4440 KB Output is correct
5 Correct 2 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4696 KB Output is correct
10 Correct 2 ms 4440 KB Output is correct
11 Correct 2 ms 4444 KB Output is correct
12 Correct 2 ms 4440 KB Output is correct
13 Correct 1 ms 4696 KB Output is correct
14 Correct 2 ms 4440 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 74 ms 14256 KB Output is correct
4 Correct 68 ms 18720 KB Output is correct
5 Correct 73 ms 18100 KB Output is correct
6 Correct 76 ms 17316 KB Output is correct
7 Correct 80 ms 17424 KB Output is correct
8 Correct 91 ms 20332 KB Output is correct
9 Correct 68 ms 17448 KB Output is correct
10 Correct 65 ms 19516 KB Output is correct
11 Correct 69 ms 19360 KB Output is correct
12 Correct 72 ms 16540 KB Output is correct
13 Correct 62 ms 18800 KB Output is correct
14 Correct 66 ms 18812 KB Output is correct
15 Correct 78 ms 20752 KB Output is correct
16 Correct 50 ms 19736 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 77 ms 13012 KB Output is correct
3 Correct 80 ms 17456 KB Output is correct
4 Correct 74 ms 20380 KB Output is correct
5 Correct 62 ms 18336 KB Output is correct
6 Correct 79 ms 18624 KB Output is correct
7 Correct 74 ms 21068 KB Output is correct
8 Correct 72 ms 20452 KB Output is correct
9 Correct 50 ms 19640 KB Output is correct
10 Correct 72 ms 19772 KB Output is correct
11 Correct 71 ms 17408 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 84 ms 13540 KB Output is correct
3 Correct 84 ms 17432 KB Output is correct
4 Correct 84 ms 18112 KB Output is correct
5 Correct 79 ms 17572 KB Output is correct
6 Correct 78 ms 18876 KB Output is correct
7 Correct 69 ms 20736 KB Output is correct
8 Correct 60 ms 19876 KB Output is correct
9 Correct 65 ms 14268 KB Output is correct
10 Correct 78 ms 15736 KB Output is correct
11 Correct 80 ms 16796 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4636 KB Output is correct
3 Correct 1 ms 4696 KB Output is correct
4 Correct 2 ms 4440 KB Output is correct
5 Correct 2 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4696 KB Output is correct
10 Correct 2 ms 4440 KB Output is correct
11 Correct 2 ms 4444 KB Output is correct
12 Correct 2 ms 4440 KB Output is correct
13 Correct 1 ms 4696 KB Output is correct
14 Correct 2 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 74 ms 14256 KB Output is correct
18 Correct 68 ms 18720 KB Output is correct
19 Correct 73 ms 18100 KB Output is correct
20 Correct 76 ms 17316 KB Output is correct
21 Correct 80 ms 17424 KB Output is correct
22 Correct 91 ms 20332 KB Output is correct
23 Correct 68 ms 17448 KB Output is correct
24 Correct 65 ms 19516 KB Output is correct
25 Correct 69 ms 19360 KB Output is correct
26 Correct 72 ms 16540 KB Output is correct
27 Correct 62 ms 18800 KB Output is correct
28 Correct 66 ms 18812 KB Output is correct
29 Correct 78 ms 20752 KB Output is correct
30 Correct 50 ms 19736 KB Output is correct
31 Correct 1 ms 4440 KB Output is correct
32 Correct 77 ms 13012 KB Output is correct
33 Correct 80 ms 17456 KB Output is correct
34 Correct 74 ms 20380 KB Output is correct
35 Correct 62 ms 18336 KB Output is correct
36 Correct 79 ms 18624 KB Output is correct
37 Correct 74 ms 21068 KB Output is correct
38 Correct 72 ms 20452 KB Output is correct
39 Correct 50 ms 19640 KB Output is correct
40 Correct 72 ms 19772 KB Output is correct
41 Correct 71 ms 17408 KB Output is correct
42 Correct 1 ms 4440 KB Output is correct
43 Correct 84 ms 13540 KB Output is correct
44 Correct 84 ms 17432 KB Output is correct
45 Correct 84 ms 18112 KB Output is correct
46 Correct 79 ms 17572 KB Output is correct
47 Correct 78 ms 18876 KB Output is correct
48 Correct 69 ms 20736 KB Output is correct
49 Correct 60 ms 19876 KB Output is correct
50 Correct 65 ms 14268 KB Output is correct
51 Correct 78 ms 15736 KB Output is correct
52 Correct 80 ms 16796 KB Output is correct
53 Correct 1 ms 4556 KB Output is correct
54 Correct 1 ms 4440 KB Output is correct
55 Correct 1 ms 4440 KB Output is correct
56 Correct 2 ms 4440 KB Output is correct
57 Correct 2 ms 4612 KB Output is correct
58 Correct 1 ms 4612 KB Output is correct
59 Correct 2 ms 4700 KB Output is correct
60 Correct 1 ms 4444 KB Output is correct
61 Correct 2 ms 4696 KB Output is correct
62 Correct 1 ms 4444 KB Output is correct
63 Correct 1 ms 4612 KB Output is correct
64 Correct 2 ms 4444 KB Output is correct
65 Correct 1 ms 4700 KB Output is correct
66 Correct 1 ms 4444 KB Output is correct
67 Correct 82 ms 19108 KB Output is correct
68 Correct 73 ms 18616 KB Output is correct
69 Correct 90 ms 18336 KB Output is correct
70 Correct 87 ms 18136 KB Output is correct
71 Correct 89 ms 17320 KB Output is correct
72 Correct 85 ms 20320 KB Output is correct
73 Correct 76 ms 17012 KB Output is correct
74 Correct 73 ms 20248 KB Output is correct
75 Correct 78 ms 19252 KB Output is correct
76 Correct 75 ms 16888 KB Output is correct
77 Correct 94 ms 19364 KB Output is correct
78 Correct 65 ms 18720 KB Output is correct
79 Correct 69 ms 20796 KB Output is correct
80 Correct 50 ms 19944 KB Output is correct
81 Correct 75 ms 17244 KB Output is correct
82 Correct 79 ms 17652 KB Output is correct
83 Correct 70 ms 20528 KB Output is correct
84 Correct 61 ms 18080 KB Output is correct
85 Correct 90 ms 17844 KB Output is correct
86 Correct 71 ms 21152 KB Output is correct
87 Correct 68 ms 20384 KB Output is correct
88 Correct 69 ms 19612 KB Output is correct
89 Correct 68 ms 17600 KB Output is correct
90 Correct 84 ms 18076 KB Output is correct
91 Correct 83 ms 17596 KB Output is correct
92 Correct 87 ms 17852 KB Output is correct
93 Correct 81 ms 17572 KB Output is correct
94 Correct 79 ms 19136 KB Output is correct
95 Correct 70 ms 20380 KB Output is correct
96 Correct 59 ms 19188 KB Output is correct
97 Correct 64 ms 14264 KB Output is correct
98 Correct 72 ms 16212 KB Output is correct
99 Correct 69 ms 17036 KB Output is correct
100 Correct 47 ms 9012 KB Output is correct
101 Correct 88 ms 17336 KB Output is correct
102 Correct 78 ms 17656 KB Output is correct
103 Correct 84 ms 18632 KB Output is correct
104 Correct 82 ms 18872 KB Output is correct