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Submission #847484

# Submission time Handle Problem Language Result Execution time Memory
847484 2023-09-09T18:00:44 Z ArashJafariyan Stranded Far From Home (BOI22_island) C++17
100 / 100
 161 ms 31428 KB 
    #include <bits/stdc++.h>
    using ll = long long;
     
    #define pb push_back
     
    const int N = 2e5 + 4;
     
    int n, m, st[N], a[N], b[N], idx[N], par[N];
    ll sum[N];
    char ans[N];
    std::vector<int> vset[N];
     
    bool cmp(int i, int j) {
        int x = std::max(st[a[i]], st[b[i]]);
        int y = std::max(st[a[j]], st[b[j]]);
        return x < y;
    }
     
    int gr(int v) {
        std::stack<int> s;
        s.push(v);
        while (par[s.top()] != s.top()) {
            s.push(par[s.top()]);
        }
     
        int ret = s.top();
        while (!s.empty()) {
            par[s.top()] = ret;
            s.pop();
        }
        return ret;
    }
     
    void mrg(int v, int u, int w) {
        v = gr(v);
        u = gr(u);
        if (v == u) {
            return;
        }
        if (sum[v] > sum[u]) {
            std::swap(v, u);
        }
     
        bool b = sum[v] < w;
        for (int x : vset[v]) {
            vset[u].pb(x);
            if (b) {
                ans[x] = '0';
            }
        }
        sum[u] += sum[v];
        par[v] = u;
        return;
    }
     
    int main() {
        std::ios::sync_with_stdio(0);
        std::cin.tie(0);
     
        std::cin >> n >> m;
        for (int i = 0; i < n; ++i) {
            std::cin >> sum[i];
            st[i] = sum[i];
            vset[i].pb(i);
            ans[i] = '1';
            par[i] = i;
        }
        for (int i = 0; i < m; ++i) {
            std::cin >> a[i] >> b[i];
            --a[i], --b[i];
            idx[i] = i;
        }
        std::sort(idx, idx + m, cmp); 
        
        for (int i = 0; i < m; ++i) {
            int j = idx[i];
            int w = std::max(st[a[j]], st[b[j]]);
            mrg(a[j], b[j], w);
        }
        for (int i = 0; i < n; ++i) {
            std::cout << ans[i];
        }
        return 0;
    }

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8792 KB Output is correct
5 Correct 3 ms 8792 KB Output is correct
6 Correct 2 ms 8792 KB Output is correct
7 Correct 3 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 3 ms 8792 KB Output is correct
10 Correct 3 ms 8796 KB Output is correct
11 Correct 3 ms 8796 KB Output is correct
12 Correct 3 ms 9048 KB Output is correct
13 Correct 2 ms 8792 KB Output is correct
14 Correct 3 ms 8792 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8792 KB Output is correct
2 Correct 2 ms 8792 KB Output is correct
3 Correct 111 ms 22944 KB Output is correct
4 Correct 113 ms 31168 KB Output is correct
5 Correct 137 ms 26352 KB Output is correct
6 Correct 130 ms 26688 KB Output is correct
7 Correct 135 ms 26868 KB Output is correct
8 Correct 118 ms 26356 KB Output is correct
9 Correct 117 ms 31296 KB Output is correct
10 Correct 94 ms 21784 KB Output is correct
11 Correct 96 ms 21452 KB Output is correct
12 Correct 116 ms 26308 KB Output is correct
13 Correct 112 ms 28992 KB Output is correct
14 Correct 111 ms 30660 KB Output is correct
15 Correct 110 ms 22468 KB Output is correct
16 Correct 70 ms 21656 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 144 ms 28992 KB Output is correct
3 Correct 147 ms 28736 KB Output is correct
4 Correct 127 ms 29036 KB Output is correct
5 Correct 114 ms 28740 KB Output is correct
6 Correct 161 ms 28864 KB Output is correct
7 Correct 105 ms 22472 KB Output is correct
8 Correct 103 ms 22472 KB Output is correct
9 Correct 73 ms 21968 KB Output is correct
10 Correct 114 ms 28484 KB Output is correct
11 Correct 117 ms 30660 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 137 ms 24596 KB Output is correct
3 Correct 137 ms 25544 KB Output is correct
4 Correct 138 ms 26532 KB Output is correct
5 Correct 136 ms 26056 KB Output is correct
6 Correct 111 ms 23752 KB Output is correct
7 Correct 97 ms 22608 KB Output is correct
8 Correct 79 ms 23624 KB Output is correct
9 Correct 74 ms 17612 KB Output is correct
10 Correct 113 ms 26564 KB Output is correct
11 Correct 120 ms 31040 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8792 KB Output is correct
5 Correct 3 ms 8792 KB Output is correct
6 Correct 2 ms 8792 KB Output is correct
7 Correct 3 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 3 ms 8792 KB Output is correct
10 Correct 3 ms 8796 KB Output is correct
11 Correct 3 ms 8796 KB Output is correct
12 Correct 3 ms 9048 KB Output is correct
13 Correct 2 ms 8792 KB Output is correct
14 Correct 3 ms 8792 KB Output is correct
15 Correct 3 ms 8792 KB Output is correct
16 Correct 2 ms 8792 KB Output is correct
17 Correct 111 ms 22944 KB Output is correct
18 Correct 113 ms 31168 KB Output is correct
19 Correct 137 ms 26352 KB Output is correct
20 Correct 130 ms 26688 KB Output is correct
21 Correct 135 ms 26868 KB Output is correct
22 Correct 118 ms 26356 KB Output is correct
23 Correct 117 ms 31296 KB Output is correct
24 Correct 94 ms 21784 KB Output is correct
25 Correct 96 ms 21452 KB Output is correct
26 Correct 116 ms 26308 KB Output is correct
27 Correct 112 ms 28992 KB Output is correct
28 Correct 111 ms 30660 KB Output is correct
29 Correct 110 ms 22468 KB Output is correct
30 Correct 70 ms 21656 KB Output is correct
31 Correct 2 ms 8792 KB Output is correct
32 Correct 144 ms 28992 KB Output is correct
33 Correct 147 ms 28736 KB Output is correct
34 Correct 127 ms 29036 KB Output is correct
35 Correct 114 ms 28740 KB Output is correct
36 Correct 161 ms 28864 KB Output is correct
37 Correct 105 ms 22472 KB Output is correct
38 Correct 103 ms 22472 KB Output is correct
39 Correct 73 ms 21968 KB Output is correct
40 Correct 114 ms 28484 KB Output is correct
41 Correct 117 ms 30660 KB Output is correct
42 Correct 2 ms 8792 KB Output is correct
43 Correct 137 ms 24596 KB Output is correct
44 Correct 137 ms 25544 KB Output is correct
45 Correct 138 ms 26532 KB Output is correct
46 Correct 136 ms 26056 KB Output is correct
47 Correct 111 ms 23752 KB Output is correct
48 Correct 97 ms 22608 KB Output is correct
49 Correct 79 ms 23624 KB Output is correct
50 Correct 74 ms 17612 KB Output is correct
51 Correct 113 ms 26564 KB Output is correct
52 Correct 120 ms 31040 KB Output is correct
53 Correct 2 ms 8784 KB Output is correct
54 Correct 2 ms 8792 KB Output is correct
55 Correct 2 ms 8796 KB Output is correct
56 Correct 2 ms 8792 KB Output is correct
57 Correct 3 ms 8792 KB Output is correct
58 Correct 3 ms 8792 KB Output is correct
59 Correct 2 ms 8792 KB Output is correct
60 Correct 3 ms 8792 KB Output is correct
61 Correct 2 ms 8796 KB Output is correct
62 Correct 3 ms 8792 KB Output is correct
63 Correct 3 ms 8792 KB Output is correct
64 Correct 2 ms 8792 KB Output is correct
65 Correct 3 ms 8792 KB Output is correct
66 Correct 3 ms 8792 KB Output is correct
67 Correct 105 ms 22984 KB Output is correct
68 Correct 106 ms 31168 KB Output is correct
69 Correct 126 ms 26304 KB Output is correct
70 Correct 128 ms 26688 KB Output is correct
71 Correct 130 ms 27076 KB Output is correct
72 Correct 132 ms 26184 KB Output is correct
73 Correct 124 ms 31428 KB Output is correct
74 Correct 108 ms 21704 KB Output is correct
75 Correct 90 ms 21448 KB Output is correct
76 Correct 108 ms 26344 KB Output is correct
77 Correct 109 ms 28972 KB Output is correct
78 Correct 117 ms 30536 KB Output is correct
79 Correct 100 ms 22452 KB Output is correct
80 Correct 71 ms 21712 KB Output is correct
81 Correct 149 ms 29252 KB Output is correct
82 Correct 141 ms 28676 KB Output is correct
83 Correct 116 ms 28968 KB Output is correct
84 Correct 117 ms 28992 KB Output is correct
85 Correct 140 ms 28864 KB Output is correct
86 Correct 109 ms 22728 KB Output is correct
87 Correct 106 ms 22476 KB Output is correct
88 Correct 135 ms 28524 KB Output is correct
89 Correct 118 ms 30916 KB Output is correct
90 Correct 129 ms 24480 KB Output is correct
91 Correct 122 ms 25544 KB Output is correct
92 Correct 126 ms 26516 KB Output is correct
93 Correct 112 ms 25628 KB Output is correct
94 Correct 105 ms 23752 KB Output is correct
95 Correct 101 ms 22472 KB Output is correct
96 Correct 79 ms 23624 KB Output is correct
97 Correct 73 ms 17556 KB Output is correct
98 Correct 102 ms 26424 KB Output is correct
99 Correct 111 ms 31136 KB Output is correct
100 Correct 62 ms 11856 KB Output is correct
101 Correct 156 ms 25772 KB Output is correct
102 Correct 94 ms 21412 KB Output is correct
103 Correct 124 ms 21704 KB Output is correct
104 Correct 147 ms 24088 KB Output is correct