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Submission #769448

# Submission time Handle Problem Language Result Execution time Memory
769448 2023-06-29T15:06:13 Z borisAngelov Stranded Far From Home (BOI22_island) C++17
100 / 100
 184 ms 42044 KB 
#include <algorithm>
#include <iostream>
#include <vector>
#include <queue>

using namespace std;

const int maxn = 200005;

int n, m;

long long people[maxn];

vector<int> g[maxn];

bool answer[maxn];

int parent[maxn];

vector<int> nodes_in_component[maxn];
long long sum_component[maxn];

int root(int x)
{
    if (x == parent[x])
    {
        return x;
    }

    return parent[x] = root(parent[x]);
}

void connect(int x, int y)
{
    x = root(x);
    y = root(y);

    if (nodes_in_component[x].size() < nodes_in_component[y].size())
    {
        swap(x, y);
    }

    sum_component[x] += sum_component[y];

    for (auto node : nodes_in_component[y])
    {
        nodes_in_component[x].push_back(node);
    }

    parent[y] = x;
}

bool is_connected(int x, int y)
{
    return root(x) == root(y);
}

pair<int, int> sorted_nodes[maxn];

void fastIO()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
}

int main()
{
    fastIO();

    cin >> n >> m;

    for (int i = 1; i <= n; ++i)
    {
        cin >> people[i];
        answer[i] = true;
        sorted_nodes[i] = make_pair(people[i], i);
    }

    for (int i = 1; i <= n; ++i)
    {
        sum_component[i] = people[i];
        nodes_in_component[i].push_back(i);
        parent[i] = i;
    }

    for (int i = 1; i <= m; ++i)
    {
        int x, y;
        cin >> x >> y;

        g[x].push_back(y);
        g[y].push_back(x);
    }

    /*for (int i = 1; i <= n; ++i)
    {
        sort(g[i].begin(), g[i].end(), [&](int x, int y)
        {
            return people[x] <= people[y];
        });
    }*/

    sort(sorted_nodes + 1, sorted_nodes + n + 1);

    for (int i = 1; i <= n; ++i)
    {
        int node = sorted_nodes[i].second;

        for (auto next_node : g[node])
        {
            if (people[node] < people[next_node])
            {
                continue;
            }

            int big_node = root(next_node);

            if (sum_component[big_node] < people[node])
            {
                for (auto blanked_node : nodes_in_component[big_node])
                {
                    answer[blanked_node] = false;
                }
            }

            if (is_connected(node, big_node) == false)
            {
                connect(node, big_node);
            }
        }
    }

    for (int i = 1; i <= n; ++i)
    {
        cout << answer[i];
    }

    cout << endl;

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 4 ms 9724 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 5 ms 9940 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 5 ms 9940 KB Output is correct
10 Correct 6 ms 9940 KB Output is correct
11 Correct 7 ms 9940 KB Output is correct
12 Correct 5 ms 9940 KB Output is correct
13 Correct 5 ms 9940 KB Output is correct
14 Correct 6 ms 9940 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 105 ms 29416 KB Output is correct
4 Correct 97 ms 29092 KB Output is correct
5 Correct 133 ms 32636 KB Output is correct
6 Correct 166 ms 33452 KB Output is correct
7 Correct 136 ms 33468 KB Output is correct
8 Correct 122 ms 29124 KB Output is correct
9 Correct 115 ms 37660 KB Output is correct
10 Correct 129 ms 30380 KB Output is correct
11 Correct 109 ms 30232 KB Output is correct
12 Correct 134 ms 32996 KB Output is correct
13 Correct 95 ms 31924 KB Output is correct
14 Correct 100 ms 32184 KB Output is correct
15 Correct 106 ms 33512 KB Output is correct
16 Correct 81 ms 32580 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 164 ms 35384 KB Output is correct
3 Correct 166 ms 35144 KB Output is correct
4 Correct 114 ms 29064 KB Output is correct
5 Correct 111 ms 29336 KB Output is correct
6 Correct 169 ms 35256 KB Output is correct
7 Correct 118 ms 29052 KB Output is correct
8 Correct 117 ms 29020 KB Output is correct
9 Correct 78 ms 28800 KB Output is correct
10 Correct 109 ms 29072 KB Output is correct
11 Correct 152 ms 30296 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 175 ms 30992 KB Output is correct
3 Correct 175 ms 31600 KB Output is correct
4 Correct 172 ms 32592 KB Output is correct
5 Correct 168 ms 31852 KB Output is correct
6 Correct 158 ms 29780 KB Output is correct
7 Correct 101 ms 30236 KB Output is correct
8 Correct 79 ms 32336 KB Output is correct
9 Correct 88 ms 23724 KB Output is correct
10 Correct 170 ms 35544 KB Output is correct
11 Correct 143 ms 33184 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 4 ms 9724 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 5 ms 9940 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 5 ms 9940 KB Output is correct
10 Correct 6 ms 9940 KB Output is correct
11 Correct 7 ms 9940 KB Output is correct
12 Correct 5 ms 9940 KB Output is correct
13 Correct 5 ms 9940 KB Output is correct
14 Correct 6 ms 9940 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 105 ms 29416 KB Output is correct
18 Correct 97 ms 29092 KB Output is correct
19 Correct 133 ms 32636 KB Output is correct
20 Correct 166 ms 33452 KB Output is correct
21 Correct 136 ms 33468 KB Output is correct
22 Correct 122 ms 29124 KB Output is correct
23 Correct 115 ms 37660 KB Output is correct
24 Correct 129 ms 30380 KB Output is correct
25 Correct 109 ms 30232 KB Output is correct
26 Correct 134 ms 32996 KB Output is correct
27 Correct 95 ms 31924 KB Output is correct
28 Correct 100 ms 32184 KB Output is correct
29 Correct 106 ms 33512 KB Output is correct
30 Correct 81 ms 32580 KB Output is correct
31 Correct 5 ms 9684 KB Output is correct
32 Correct 164 ms 35384 KB Output is correct
33 Correct 166 ms 35144 KB Output is correct
34 Correct 114 ms 29064 KB Output is correct
35 Correct 111 ms 29336 KB Output is correct
36 Correct 169 ms 35256 KB Output is correct
37 Correct 118 ms 29052 KB Output is correct
38 Correct 117 ms 29020 KB Output is correct
39 Correct 78 ms 28800 KB Output is correct
40 Correct 109 ms 29072 KB Output is correct
41 Correct 152 ms 30296 KB Output is correct
42 Correct 5 ms 9684 KB Output is correct
43 Correct 175 ms 30992 KB Output is correct
44 Correct 175 ms 31600 KB Output is correct
45 Correct 172 ms 32592 KB Output is correct
46 Correct 168 ms 31852 KB Output is correct
47 Correct 158 ms 29780 KB Output is correct
48 Correct 101 ms 30236 KB Output is correct
49 Correct 79 ms 32336 KB Output is correct
50 Correct 88 ms 23724 KB Output is correct
51 Correct 170 ms 35544 KB Output is correct
52 Correct 143 ms 33184 KB Output is correct
53 Correct 4 ms 9684 KB Output is correct
54 Correct 4 ms 9684 KB Output is correct
55 Correct 4 ms 9712 KB Output is correct
56 Correct 6 ms 9876 KB Output is correct
57 Correct 5 ms 9940 KB Output is correct
58 Correct 5 ms 9940 KB Output is correct
59 Correct 5 ms 9940 KB Output is correct
60 Correct 5 ms 9812 KB Output is correct
61 Correct 5 ms 9940 KB Output is correct
62 Correct 5 ms 9940 KB Output is correct
63 Correct 5 ms 9940 KB Output is correct
64 Correct 5 ms 10004 KB Output is correct
65 Correct 5 ms 9868 KB Output is correct
66 Correct 5 ms 9940 KB Output is correct
67 Correct 134 ms 33864 KB Output is correct
68 Correct 99 ms 32148 KB Output is correct
69 Correct 127 ms 36868 KB Output is correct
70 Correct 138 ms 37788 KB Output is correct
71 Correct 141 ms 37876 KB Output is correct
72 Correct 126 ms 33548 KB Output is correct
73 Correct 115 ms 42044 KB Output is correct
74 Correct 112 ms 33772 KB Output is correct
75 Correct 110 ms 33644 KB Output is correct
76 Correct 129 ms 33060 KB Output is correct
77 Correct 93 ms 31924 KB Output is correct
78 Correct 100 ms 32124 KB Output is correct
79 Correct 100 ms 33408 KB Output is correct
80 Correct 78 ms 32664 KB Output is correct
81 Correct 174 ms 39736 KB Output is correct
82 Correct 164 ms 39632 KB Output is correct
83 Correct 118 ms 33528 KB Output is correct
84 Correct 121 ms 32352 KB Output is correct
85 Correct 163 ms 39704 KB Output is correct
86 Correct 119 ms 33468 KB Output is correct
87 Correct 120 ms 33444 KB Output is correct
88 Correct 122 ms 32836 KB Output is correct
89 Correct 129 ms 33272 KB Output is correct
90 Correct 173 ms 35404 KB Output is correct
91 Correct 180 ms 36040 KB Output is correct
92 Correct 173 ms 37052 KB Output is correct
93 Correct 165 ms 36224 KB Output is correct
94 Correct 147 ms 33832 KB Output is correct
95 Correct 103 ms 34560 KB Output is correct
96 Correct 80 ms 32352 KB Output is correct
97 Correct 86 ms 23752 KB Output is correct
98 Correct 145 ms 35536 KB Output is correct
99 Correct 145 ms 33120 KB Output is correct
100 Correct 34 ms 14084 KB Output is correct
101 Correct 176 ms 36896 KB Output is correct
102 Correct 126 ms 29780 KB Output is correct
103 Correct 146 ms 30884 KB Output is correct
104 Correct 184 ms 34688 KB Output is correct