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Submission #646967

# Submission time Handle Problem Language Result Execution time Memory
646967 2022-10-01T09:13:13 Z adrilen Stranded Far From Home (BOI22_island) C++17
100 / 100
 230 ms 25912 KB 
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
typedef pair<int, int> pii;
constexpr int maxn = 2e5;

int isize[maxn], parent[maxn];
ll cursize[maxn];
bool marked[maxn] = { 0 };

int find(const int &p)
{
    if (p == parent[p]) return p;

    int last = parent[p];
    parent[p] = find(parent[p]);

    if (marked[last]) marked[p] = true;

    return parent[p];
}

void merge(int d, int b)        // a is newly inserted node, b is old
{
    int a;
    a = find(d), b = find(b);

    if (a == b) return ;


    // a will allways take b, but b will not allways take a

    // printf("%d %d %d %d\n", a, b, cursize[b], isize[a]);
    if (cursize[b] >= isize[d])
    {
        // Both will take each other
        cursize[b] += cursize[a];
        parent[a] = b;
    } else {
        cursize[a] += cursize[b];
        parent[b] = a;
        marked[b] = true;
    }

}


int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    int n, m;
    cin >> n >> m;

    for (int i = 0; i < n; i++) parent[i] = i;

    vector <pii> pq(n);
    for (int i = 0; i < n; i++) {
        cin >> isize[i];
        cursize[i] = isize[i];
        pq[i] = pii(isize[i], i);
    }

    sort(pq.begin(), pq.end());

    vector <vector <int>> adj(n);
    int a, b;
    for (int i = 0; i < m; i++)
    {
        cin >> a >> b;
        a--; b--;
        adj[a].emplace_back(b);
        adj[b].emplace_back(a);
    }

    vector <int> created(n);

    auto it = pq.begin();
    int pos;
    while (it != pq.end())
    {
        pos = (*it).second;
        it++;

        created[pos] = true;

        for (int nei : adj[pos])
        {
            if (!created[nei]) continue;

            merge(pos, nei);
        }
    }


    for (int i = 0; i < n; i++) find(i);

    for (int i = 0; i < n; i++) cout << !marked[i];
    cout << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 380 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 146 ms 17160 KB Output is correct
4 Correct 149 ms 17128 KB Output is correct
5 Correct 142 ms 16628 KB Output is correct
6 Correct 179 ms 17108 KB Output is correct
7 Correct 157 ms 17080 KB Output is correct
8 Correct 166 ms 17036 KB Output is correct
9 Correct 147 ms 17052 KB Output is correct
10 Correct 110 ms 17836 KB Output is correct
11 Correct 154 ms 17732 KB Output is correct
12 Correct 149 ms 17148 KB Output is correct
13 Correct 131 ms 17148 KB Output is correct
14 Correct 134 ms 17104 KB Output is correct
15 Correct 130 ms 16932 KB Output is correct
16 Correct 84 ms 16796 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 172 ms 17000 KB Output is correct
3 Correct 217 ms 18744 KB Output is correct
4 Correct 166 ms 18552 KB Output is correct
5 Correct 150 ms 18724 KB Output is correct
6 Correct 173 ms 18760 KB Output is correct
7 Correct 165 ms 18596 KB Output is correct
8 Correct 158 ms 18612 KB Output is correct
9 Correct 89 ms 18560 KB Output is correct
10 Correct 150 ms 18748 KB Output is correct
11 Correct 153 ms 19228 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 197 ms 17052 KB Output is correct
3 Correct 221 ms 21492 KB Output is correct
4 Correct 165 ms 21608 KB Output is correct
5 Correct 195 ms 21360 KB Output is correct
6 Correct 170 ms 20428 KB Output is correct
7 Correct 119 ms 25912 KB Output is correct
8 Correct 90 ms 20328 KB Output is correct
9 Correct 131 ms 12240 KB Output is correct
10 Correct 162 ms 18796 KB Output is correct
11 Correct 147 ms 19312 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 380 KB Output is correct
7 Correct 2 ms 468 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 146 ms 17160 KB Output is correct
18 Correct 149 ms 17128 KB Output is correct
19 Correct 142 ms 16628 KB Output is correct
20 Correct 179 ms 17108 KB Output is correct
21 Correct 157 ms 17080 KB Output is correct
22 Correct 166 ms 17036 KB Output is correct
23 Correct 147 ms 17052 KB Output is correct
24 Correct 110 ms 17836 KB Output is correct
25 Correct 154 ms 17732 KB Output is correct
26 Correct 149 ms 17148 KB Output is correct
27 Correct 131 ms 17148 KB Output is correct
28 Correct 134 ms 17104 KB Output is correct
29 Correct 130 ms 16932 KB Output is correct
30 Correct 84 ms 16796 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 172 ms 17000 KB Output is correct
33 Correct 217 ms 18744 KB Output is correct
34 Correct 166 ms 18552 KB Output is correct
35 Correct 150 ms 18724 KB Output is correct
36 Correct 173 ms 18760 KB Output is correct
37 Correct 165 ms 18596 KB Output is correct
38 Correct 158 ms 18612 KB Output is correct
39 Correct 89 ms 18560 KB Output is correct
40 Correct 150 ms 18748 KB Output is correct
41 Correct 153 ms 19228 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 197 ms 17052 KB Output is correct
44 Correct 221 ms 21492 KB Output is correct
45 Correct 165 ms 21608 KB Output is correct
46 Correct 195 ms 21360 KB Output is correct
47 Correct 170 ms 20428 KB Output is correct
48 Correct 119 ms 25912 KB Output is correct
49 Correct 90 ms 20328 KB Output is correct
50 Correct 131 ms 12240 KB Output is correct
51 Correct 162 ms 18796 KB Output is correct
52 Correct 147 ms 19312 KB Output is correct
53 Correct 1 ms 328 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 2 ms 468 KB Output is correct
57 Correct 3 ms 464 KB Output is correct
58 Correct 2 ms 468 KB Output is correct
59 Correct 2 ms 472 KB Output is correct
60 Correct 2 ms 472 KB Output is correct
61 Correct 1 ms 476 KB Output is correct
62 Correct 2 ms 468 KB Output is correct
63 Correct 2 ms 472 KB Output is correct
64 Correct 2 ms 472 KB Output is correct
65 Correct 2 ms 488 KB Output is correct
66 Correct 2 ms 472 KB Output is correct
67 Correct 142 ms 18772 KB Output is correct
68 Correct 170 ms 18728 KB Output is correct
69 Correct 156 ms 18308 KB Output is correct
70 Correct 170 ms 18768 KB Output is correct
71 Correct 160 ms 18748 KB Output is correct
72 Correct 182 ms 18712 KB Output is correct
73 Correct 147 ms 18656 KB Output is correct
74 Correct 120 ms 19504 KB Output is correct
75 Correct 141 ms 19400 KB Output is correct
76 Correct 152 ms 18824 KB Output is correct
77 Correct 126 ms 18804 KB Output is correct
78 Correct 129 ms 18684 KB Output is correct
79 Correct 150 ms 18600 KB Output is correct
80 Correct 102 ms 18536 KB Output is correct
81 Correct 205 ms 18660 KB Output is correct
82 Correct 174 ms 18792 KB Output is correct
83 Correct 173 ms 18612 KB Output is correct
84 Correct 134 ms 18696 KB Output is correct
85 Correct 157 ms 18744 KB Output is correct
86 Correct 157 ms 18556 KB Output is correct
87 Correct 160 ms 18628 KB Output is correct
88 Correct 140 ms 18808 KB Output is correct
89 Correct 181 ms 19304 KB Output is correct
90 Correct 196 ms 18700 KB Output is correct
91 Correct 216 ms 18716 KB Output is correct
92 Correct 216 ms 18804 KB Output is correct
93 Correct 214 ms 18600 KB Output is correct
94 Correct 168 ms 17840 KB Output is correct
95 Correct 145 ms 23192 KB Output is correct
96 Correct 112 ms 18604 KB Output is correct
97 Correct 125 ms 11364 KB Output is correct
98 Correct 173 ms 18964 KB Output is correct
99 Correct 210 ms 19296 KB Output is correct
100 Correct 50 ms 4432 KB Output is correct
101 Correct 230 ms 18784 KB Output is correct
102 Correct 185 ms 15108 KB Output is correct
103 Correct 199 ms 16184 KB Output is correct
104 Correct 198 ms 18432 KB Output is correct