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Submission #823772

# Submission time Handle Problem Language Result Execution time Memory
823772 2023-08-13T06:22:09 Z peteza Stranded Far From Home (BOI22_island) C++14
100 / 100
 134 ms 29464 KB 
#include <bits/stdc++.h>
using namespace std;

int n, m, a, b;
long long root;
int s[200005];
int par[200005], ans[200005];
vector<tuple<int, int, int>> e1, e2;
vector<int> adj[200005];
long long sum[200005];

int fpar(int x) {
    return x == par[x] ? x : par[x] = fpar(par[x]);
}

long long dfssum(int x) {
    sum[x] = s[x];
    for(int e:adj[x])
        sum[x] += dfssum(e);
    return sum[x];
}

void dfsans(int x, int parval = -1, bool parans = 1) {
    ans[x] = (sum[x] >= parval && parans);
    for(int e:adj[x])
        dfsans(e, s[x], ans[x]);
}

int main() {
    cin.tie(0) -> sync_with_stdio(0);
    cin >> n >> m; root = 1ll*n*(n+1)/2;
    for(int i=1;i<=n;i++) {
        cin >> s[i]; par[i] = i;
    }
    for(int i=1;i<=m;i++) {
        cin >> a >> b;
        e1.emplace_back(max(s[a], s[b]), a, b);
    }
    sort(e1.begin(), e1.end());
    for(auto e:e1) {
        //cout<<get<0>(e);
        if(fpar(get<1>(e)) == fpar(get<2>(e))) continue;
        e2.emplace_back(e); par[fpar(get<1>(e))] = fpar(get<2>(e));
    }
    for(int i=1;i<=n;i++) par[i]=i;
    for(auto e:e2) {
        if(s[get<1>(e)] == get<0>(e)) {
            //cout << get<1>(e) << ' ' << get<2>(e) << ": ";
            root -= fpar(get<2>(e)); //cout << "Neg " << fpar(get<2>(e));
            adj[fpar(get<1>(e))].emplace_back(fpar(get<2>(e)));
            par[fpar(get<2>(e))] = fpar(get<1>(e));
        } else {
            root -= fpar(get<1>(e)); //cout << "Neg " << fpar(get<1>(e));
            adj[fpar(get<2>(e))].emplace_back(fpar(get<1>(e)));
            par[fpar(get<1>(e))] = fpar(get<2>(e));
        }
    }
    dfssum(root); dfsans(root);
    for(int i=1;i<=n;i++) cout << ans[i];
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 5204 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 3 ms 5172 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 91 ms 21820 KB Output is correct
4 Correct 85 ms 21168 KB Output is correct
5 Correct 118 ms 17320 KB Output is correct
6 Correct 104 ms 17684 KB Output is correct
7 Correct 122 ms 17764 KB Output is correct
8 Correct 101 ms 21732 KB Output is correct
9 Correct 87 ms 16896 KB Output is correct
10 Correct 70 ms 15604 KB Output is correct
11 Correct 89 ms 22000 KB Output is correct
12 Correct 98 ms 17568 KB Output is correct
13 Correct 79 ms 21676 KB Output is correct
14 Correct 81 ms 21300 KB Output is correct
15 Correct 92 ms 29464 KB Output is correct
16 Correct 70 ms 29188 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 106 ms 17824 KB Output is correct
3 Correct 102 ms 17908 KB Output is correct
4 Correct 93 ms 21732 KB Output is correct
5 Correct 82 ms 20152 KB Output is correct
6 Correct 103 ms 17992 KB Output is correct
7 Correct 89 ms 29432 KB Output is correct
8 Correct 89 ms 29400 KB Output is correct
9 Correct 69 ms 29144 KB Output is correct
10 Correct 82 ms 21572 KB Output is correct
11 Correct 85 ms 19248 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 134 ms 18060 KB Output is correct
3 Correct 117 ms 17736 KB Output is correct
4 Correct 122 ms 17636 KB Output is correct
5 Correct 106 ms 16864 KB Output is correct
6 Correct 107 ms 17108 KB Output is correct
7 Correct 83 ms 21948 KB Output is correct
8 Correct 89 ms 25572 KB Output is correct
9 Correct 77 ms 13196 KB Output is correct
10 Correct 101 ms 17028 KB Output is correct
11 Correct 85 ms 19192 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 5204 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 3 ms 5172 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 91 ms 21820 KB Output is correct
18 Correct 85 ms 21168 KB Output is correct
19 Correct 118 ms 17320 KB Output is correct
20 Correct 104 ms 17684 KB Output is correct
21 Correct 122 ms 17764 KB Output is correct
22 Correct 101 ms 21732 KB Output is correct
23 Correct 87 ms 16896 KB Output is correct
24 Correct 70 ms 15604 KB Output is correct
25 Correct 89 ms 22000 KB Output is correct
26 Correct 98 ms 17568 KB Output is correct
27 Correct 79 ms 21676 KB Output is correct
28 Correct 81 ms 21300 KB Output is correct
29 Correct 92 ms 29464 KB Output is correct
30 Correct 70 ms 29188 KB Output is correct
31 Correct 2 ms 4948 KB Output is correct
32 Correct 106 ms 17824 KB Output is correct
33 Correct 102 ms 17908 KB Output is correct
34 Correct 93 ms 21732 KB Output is correct
35 Correct 82 ms 20152 KB Output is correct
36 Correct 103 ms 17992 KB Output is correct
37 Correct 89 ms 29432 KB Output is correct
38 Correct 89 ms 29400 KB Output is correct
39 Correct 69 ms 29144 KB Output is correct
40 Correct 82 ms 21572 KB Output is correct
41 Correct 85 ms 19248 KB Output is correct
42 Correct 2 ms 4948 KB Output is correct
43 Correct 134 ms 18060 KB Output is correct
44 Correct 117 ms 17736 KB Output is correct
45 Correct 122 ms 17636 KB Output is correct
46 Correct 106 ms 16864 KB Output is correct
47 Correct 107 ms 17108 KB Output is correct
48 Correct 83 ms 21948 KB Output is correct
49 Correct 89 ms 25572 KB Output is correct
50 Correct 77 ms 13196 KB Output is correct
51 Correct 101 ms 17028 KB Output is correct
52 Correct 85 ms 19192 KB Output is correct
53 Correct 3 ms 4948 KB Output is correct
54 Correct 2 ms 4948 KB Output is correct
55 Correct 2 ms 4980 KB Output is correct
56 Correct 3 ms 5076 KB Output is correct
57 Correct 3 ms 5076 KB Output is correct
58 Correct 3 ms 5076 KB Output is correct
59 Correct 3 ms 5076 KB Output is correct
60 Correct 3 ms 5076 KB Output is correct
61 Correct 3 ms 5204 KB Output is correct
62 Correct 3 ms 5076 KB Output is correct
63 Correct 3 ms 5076 KB Output is correct
64 Correct 3 ms 5076 KB Output is correct
65 Correct 3 ms 5204 KB Output is correct
66 Correct 4 ms 5076 KB Output is correct
67 Correct 88 ms 21792 KB Output is correct
68 Correct 84 ms 21228 KB Output is correct
69 Correct 98 ms 17352 KB Output is correct
70 Correct 104 ms 17712 KB Output is correct
71 Correct 103 ms 17820 KB Output is correct
72 Correct 102 ms 21688 KB Output is correct
73 Correct 85 ms 16904 KB Output is correct
74 Correct 75 ms 15592 KB Output is correct
75 Correct 77 ms 22068 KB Output is correct
76 Correct 98 ms 17572 KB Output is correct
77 Correct 81 ms 21748 KB Output is correct
78 Correct 87 ms 21248 KB Output is correct
79 Correct 89 ms 29432 KB Output is correct
80 Correct 69 ms 29180 KB Output is correct
81 Correct 102 ms 17864 KB Output is correct
82 Correct 99 ms 17980 KB Output is correct
83 Correct 86 ms 21884 KB Output is correct
84 Correct 77 ms 20240 KB Output is correct
85 Correct 99 ms 17984 KB Output is correct
86 Correct 87 ms 29404 KB Output is correct
87 Correct 87 ms 29364 KB Output is correct
88 Correct 95 ms 21632 KB Output is correct
89 Correct 84 ms 19220 KB Output is correct
90 Correct 124 ms 18028 KB Output is correct
91 Correct 125 ms 17708 KB Output is correct
92 Correct 131 ms 17688 KB Output is correct
93 Correct 118 ms 17120 KB Output is correct
94 Correct 102 ms 17112 KB Output is correct
95 Correct 81 ms 21992 KB Output is correct
96 Correct 79 ms 25576 KB Output is correct
97 Correct 89 ms 13288 KB Output is correct
98 Correct 101 ms 16864 KB Output is correct
99 Correct 85 ms 19216 KB Output is correct
100 Correct 49 ms 8264 KB Output is correct
101 Correct 132 ms 17820 KB Output is correct
102 Correct 91 ms 16016 KB Output is correct
103 Correct 115 ms 18684 KB Output is correct
104 Correct 129 ms 18632 KB Output is correct