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Submission #859084

# Submission time Handle Problem Language Result Execution time Memory
859084 2023-10-09T16:35:13 Z vgtcross Stranded Far From Home (BOI22_island) C++17
100 / 100
 127 ms 38136 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using pii = pair<int, int>;

const int N = 400400;

int dsu[N], sz[N];
int s[N];
vector<int> ch[N];
ll sum[N];
int node[N];
int w;
bool bad[N];
int ans[N];

void init(int n) {
    for (int i = 1; i <= n; ++i) {
        dsu[i] = i;
        sz[i] = 1;
        sum[i] = s[i];
        node[i] = i;
    }
}

int fs(int i) {
    if (dsu[i] == i) return i;
    return dsu[i] = fs(dsu[i]);
}

void us(int a, int b) {
    int sa = s[a];
    int sb = s[b];
    a = fs(a);
    b = fs(b);
    if (a != b) {
        if (sum[a] < sb) bad[node[a]] = 1;
        if (sum[b] < sa) bad[node[b]] = 1;
        if (sz[a] < sz[b]) swap(a, b);
        dsu[b] = a;
        sz[a] += sz[b];
        sum[a] += sum[b];
        ch[w].push_back(node[a]);
        ch[w].push_back(node[b]);
        node[a] = w++;
    }
}

bool cmp(pii a, pii b) {
    return make_pair(s[a.first], s[a.second]) < make_pair(s[b.first], s[b.second]);
}

void dfs(int u, int p, int c) {
    c += bad[u];
    if (ch[u].empty()) ans[u] = c == 0;
    for (int v : ch[u]) {
        dfs(v, u, c);
    }
}

void solve() {
    int n, m;
    cin >> n >> m;
    w = n+1;
    
    for (int i = 1; i <= n; ++i) cin >> s[i];
    
    vector<pii> e(m);
    for (int i = 0; i < m; ++i) {
        int u, v;
        cin >> u >> v;
        if (s[u] < s[v]) swap(u, v);
        e[i] = {u, v};
    }
    
    sort(e.begin(), e.end(), cmp);
    init(n);
    for (pii p : e) us(p.first, p.second);
    
    dfs(w-1, -1, 0);
    for (int i = 1; i <= n; ++i) cout << ans[i];
    cout << '\n';
}

int main() {
    cin.tie(0) -> sync_with_stdio(0);
    
    solve();
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 5 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 3 ms 18780 KB Output is correct
7 Correct 4 ms 18780 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 4 ms 19036 KB Output is correct
10 Correct 4 ms 18940 KB Output is correct
11 Correct 5 ms 18780 KB Output is correct
12 Correct 4 ms 18776 KB Output is correct
13 Correct 4 ms 18780 KB Output is correct
14 Correct 4 ms 18780 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 95 ms 31576 KB Output is correct
4 Correct 88 ms 29008 KB Output is correct
5 Correct 107 ms 28852 KB Output is correct
6 Correct 113 ms 29016 KB Output is correct
7 Correct 112 ms 28964 KB Output is correct
8 Correct 115 ms 29444 KB Output is correct
9 Correct 90 ms 29012 KB Output is correct
10 Correct 84 ms 33620 KB Output is correct
11 Correct 76 ms 33500 KB Output is correct
12 Correct 91 ms 29096 KB Output is correct
13 Correct 82 ms 29008 KB Output is correct
14 Correct 82 ms 28948 KB Output is correct
15 Correct 91 ms 33552 KB Output is correct
16 Correct 70 ms 33532 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 18780 KB Output is correct
2 Correct 114 ms 28904 KB Output is correct
3 Correct 109 ms 33520 KB Output is correct
4 Correct 95 ms 33652 KB Output is correct
5 Correct 83 ms 32084 KB Output is correct
6 Correct 107 ms 33404 KB Output is correct
7 Correct 92 ms 38136 KB Output is correct
8 Correct 92 ms 38104 KB Output is correct
9 Correct 71 ms 37200 KB Output is correct
10 Correct 90 ms 36228 KB Output is correct
11 Correct 89 ms 32000 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 18776 KB Output is correct
2 Correct 110 ms 29440 KB Output is correct
3 Correct 110 ms 33620 KB Output is correct
4 Correct 127 ms 33620 KB Output is correct
5 Correct 99 ms 33624 KB Output is correct
6 Correct 95 ms 33636 KB Output is correct
7 Correct 81 ms 37968 KB Output is correct
8 Correct 74 ms 34532 KB Output is correct
9 Correct 69 ms 28520 KB Output is correct
10 Correct 92 ms 32084 KB Output is correct
11 Correct 92 ms 32084 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 18780 KB Output is correct
2 Correct 3 ms 18780 KB Output is correct
3 Correct 3 ms 18780 KB Output is correct
4 Correct 5 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 3 ms 18780 KB Output is correct
7 Correct 4 ms 18780 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 4 ms 19036 KB Output is correct
10 Correct 4 ms 18940 KB Output is correct
11 Correct 5 ms 18780 KB Output is correct
12 Correct 4 ms 18776 KB Output is correct
13 Correct 4 ms 18780 KB Output is correct
14 Correct 4 ms 18780 KB Output is correct
15 Correct 4 ms 18780 KB Output is correct
16 Correct 3 ms 18780 KB Output is correct
17 Correct 95 ms 31576 KB Output is correct
18 Correct 88 ms 29008 KB Output is correct
19 Correct 107 ms 28852 KB Output is correct
20 Correct 113 ms 29016 KB Output is correct
21 Correct 112 ms 28964 KB Output is correct
22 Correct 115 ms 29444 KB Output is correct
23 Correct 90 ms 29012 KB Output is correct
24 Correct 84 ms 33620 KB Output is correct
25 Correct 76 ms 33500 KB Output is correct
26 Correct 91 ms 29096 KB Output is correct
27 Correct 82 ms 29008 KB Output is correct
28 Correct 82 ms 28948 KB Output is correct
29 Correct 91 ms 33552 KB Output is correct
30 Correct 70 ms 33532 KB Output is correct
31 Correct 3 ms 18780 KB Output is correct
32 Correct 114 ms 28904 KB Output is correct
33 Correct 109 ms 33520 KB Output is correct
34 Correct 95 ms 33652 KB Output is correct
35 Correct 83 ms 32084 KB Output is correct
36 Correct 107 ms 33404 KB Output is correct
37 Correct 92 ms 38136 KB Output is correct
38 Correct 92 ms 38104 KB Output is correct
39 Correct 71 ms 37200 KB Output is correct
40 Correct 90 ms 36228 KB Output is correct
41 Correct 89 ms 32000 KB Output is correct
42 Correct 3 ms 18776 KB Output is correct
43 Correct 110 ms 29440 KB Output is correct
44 Correct 110 ms 33620 KB Output is correct
45 Correct 127 ms 33620 KB Output is correct
46 Correct 99 ms 33624 KB Output is correct
47 Correct 95 ms 33636 KB Output is correct
48 Correct 81 ms 37968 KB Output is correct
49 Correct 74 ms 34532 KB Output is correct
50 Correct 69 ms 28520 KB Output is correct
51 Correct 92 ms 32084 KB Output is correct
52 Correct 92 ms 32084 KB Output is correct
53 Correct 3 ms 18780 KB Output is correct
54 Correct 4 ms 18776 KB Output is correct
55 Correct 3 ms 18780 KB Output is correct
56 Correct 4 ms 19036 KB Output is correct
57 Correct 4 ms 19036 KB Output is correct
58 Correct 4 ms 18964 KB Output is correct
59 Correct 5 ms 19232 KB Output is correct
60 Correct 4 ms 18776 KB Output is correct
61 Correct 4 ms 19036 KB Output is correct
62 Correct 4 ms 19036 KB Output is correct
63 Correct 4 ms 18932 KB Output is correct
64 Correct 4 ms 19036 KB Output is correct
65 Correct 4 ms 19036 KB Output is correct
66 Correct 4 ms 18948 KB Output is correct
67 Correct 95 ms 35940 KB Output is correct
68 Correct 84 ms 32376 KB Output is correct
69 Correct 108 ms 33108 KB Output is correct
70 Correct 113 ms 33364 KB Output is correct
71 Correct 115 ms 33404 KB Output is correct
72 Correct 114 ms 33412 KB Output is correct
73 Correct 91 ms 33360 KB Output is correct
74 Correct 86 ms 37140 KB Output is correct
75 Correct 78 ms 36944 KB Output is correct
76 Correct 108 ms 32540 KB Output is correct
77 Correct 82 ms 32084 KB Output is correct
78 Correct 83 ms 32128 KB Output is correct
79 Correct 93 ms 38052 KB Output is correct
80 Correct 72 ms 37200 KB Output is correct
81 Correct 111 ms 33364 KB Output is correct
82 Correct 108 ms 33428 KB Output is correct
83 Correct 92 ms 33740 KB Output is correct
84 Correct 82 ms 31852 KB Output is correct
85 Correct 110 ms 33868 KB Output is correct
86 Correct 109 ms 37968 KB Output is correct
87 Correct 93 ms 37968 KB Output is correct
88 Correct 89 ms 36176 KB Output is correct
89 Correct 90 ms 32084 KB Output is correct
90 Correct 108 ms 33872 KB Output is correct
91 Correct 110 ms 33392 KB Output is correct
92 Correct 111 ms 33544 KB Output is correct
93 Correct 100 ms 33620 KB Output is correct
94 Correct 96 ms 33616 KB Output is correct
95 Correct 82 ms 37972 KB Output is correct
96 Correct 77 ms 34700 KB Output is correct
97 Correct 62 ms 28500 KB Output is correct
98 Correct 92 ms 32116 KB Output is correct
99 Correct 90 ms 32084 KB Output is correct
100 Correct 52 ms 22380 KB Output is correct
101 Correct 118 ms 33616 KB Output is correct
102 Correct 83 ms 32400 KB Output is correct
103 Correct 105 ms 33620 KB Output is correct
104 Correct 113 ms 33992 KB Output is correct