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Submission #779088

# Submission time Handle Problem Language Result Execution time Memory
779088 2023-07-11T07:39:47 Z raysh07 Stranded Far From Home (BOI22_island) C++17
100 / 100
 207 ms 42068 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 9732 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9940 KB Output is correct
5 Correct 5 ms 9940 KB Output is correct
6 Correct 5 ms 9940 KB Output is correct
7 Correct 7 ms 9940 KB Output is correct
8 Correct 5 ms 9876 KB Output is correct
9 Correct 5 ms 9872 KB Output is correct
10 Correct 7 ms 10000 KB Output is correct
11 Correct 5 ms 9940 KB Output is correct
12 Correct 5 ms 9932 KB Output is correct
13 Correct 6 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 6 ms 9684 KB Output is correct
2 Correct 5 ms 9736 KB Output is correct
3 Correct 140 ms 33780 KB Output is correct
4 Correct 104 ms 32100 KB Output is correct
5 Correct 153 ms 36900 KB Output is correct
6 Correct 134 ms 37724 KB Output is correct
7 Correct 140 ms 37880 KB Output is correct
8 Correct 150 ms 33480 KB Output is correct
9 Correct 131 ms 42036 KB Output is correct
10 Correct 134 ms 33700 KB Output is correct
11 Correct 121 ms 33564 KB Output is correct
12 Correct 144 ms 32980 KB Output is correct
13 Correct 137 ms 31940 KB Output is correct
14 Correct 128 ms 32164 KB Output is correct
15 Correct 103 ms 33416 KB Output is correct
16 Correct 104 ms 32604 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9740 KB Output is correct
2 Correct 190 ms 39776 KB Output is correct
3 Correct 166 ms 39632 KB Output is correct
4 Correct 120 ms 33524 KB Output is correct
5 Correct 105 ms 32228 KB Output is correct
6 Correct 205 ms 39776 KB Output is correct
7 Correct 132 ms 33508 KB Output is correct
8 Correct 119 ms 33488 KB Output is correct
9 Correct 79 ms 32516 KB Output is correct
10 Correct 107 ms 32824 KB Output is correct
11 Correct 139 ms 33356 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9736 KB Output is correct
2 Correct 184 ms 35352 KB Output is correct
3 Correct 169 ms 36088 KB Output is correct
4 Correct 192 ms 37128 KB Output is correct
5 Correct 199 ms 36308 KB Output is correct
6 Correct 168 ms 33924 KB Output is correct
7 Correct 103 ms 34580 KB Output is correct
8 Correct 82 ms 32264 KB Output is correct
9 Correct 84 ms 23692 KB Output is correct
10 Correct 145 ms 35624 KB Output is correct
11 Correct 126 ms 33072 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 9732 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9940 KB Output is correct
5 Correct 5 ms 9940 KB Output is correct
6 Correct 5 ms 9940 KB Output is correct
7 Correct 7 ms 9940 KB Output is correct
8 Correct 5 ms 9876 KB Output is correct
9 Correct 5 ms 9872 KB Output is correct
10 Correct 7 ms 10000 KB Output is correct
11 Correct 5 ms 9940 KB Output is correct
12 Correct 5 ms 9932 KB Output is correct
13 Correct 6 ms 9940 KB Output is correct
14 Correct 6 ms 9940 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9736 KB Output is correct
17 Correct 140 ms 33780 KB Output is correct
18 Correct 104 ms 32100 KB Output is correct
19 Correct 153 ms 36900 KB Output is correct
20 Correct 134 ms 37724 KB Output is correct
21 Correct 140 ms 37880 KB Output is correct
22 Correct 150 ms 33480 KB Output is correct
23 Correct 131 ms 42036 KB Output is correct
24 Correct 134 ms 33700 KB Output is correct
25 Correct 121 ms 33564 KB Output is correct
26 Correct 144 ms 32980 KB Output is correct
27 Correct 137 ms 31940 KB Output is correct
28 Correct 128 ms 32164 KB Output is correct
29 Correct 103 ms 33416 KB Output is correct
30 Correct 104 ms 32604 KB Output is correct
31 Correct 6 ms 9740 KB Output is correct
32 Correct 190 ms 39776 KB Output is correct
33 Correct 166 ms 39632 KB Output is correct
34 Correct 120 ms 33524 KB Output is correct
35 Correct 105 ms 32228 KB Output is correct
36 Correct 205 ms 39776 KB Output is correct
37 Correct 132 ms 33508 KB Output is correct
38 Correct 119 ms 33488 KB Output is correct
39 Correct 79 ms 32516 KB Output is correct
40 Correct 107 ms 32824 KB Output is correct
41 Correct 139 ms 33356 KB Output is correct
42 Correct 5 ms 9736 KB Output is correct
43 Correct 184 ms 35352 KB Output is correct
44 Correct 169 ms 36088 KB Output is correct
45 Correct 192 ms 37128 KB Output is correct
46 Correct 199 ms 36308 KB Output is correct
47 Correct 168 ms 33924 KB Output is correct
48 Correct 103 ms 34580 KB Output is correct
49 Correct 82 ms 32264 KB Output is correct
50 Correct 84 ms 23692 KB Output is correct
51 Correct 145 ms 35624 KB Output is correct
52 Correct 126 ms 33072 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 9684 KB Output is correct
56 Correct 6 ms 9940 KB Output is correct
57 Correct 5 ms 9940 KB Output is correct
58 Correct 5 ms 9876 KB Output is correct
59 Correct 6 ms 9872 KB Output is correct
60 Correct 5 ms 9812 KB Output is correct
61 Correct 5 ms 9876 KB Output is correct
62 Correct 5 ms 10004 KB Output is correct
63 Correct 5 ms 9940 KB Output is correct
64 Correct 5 ms 9916 KB Output is correct
65 Correct 5 ms 9940 KB Output is correct
66 Correct 5 ms 9876 KB Output is correct
67 Correct 110 ms 33860 KB Output is correct
68 Correct 106 ms 32368 KB Output is correct
69 Correct 125 ms 36904 KB Output is correct
70 Correct 152 ms 37800 KB Output is correct
71 Correct 140 ms 37904 KB Output is correct
72 Correct 145 ms 33428 KB Output is correct
73 Correct 121 ms 42068 KB Output is correct
74 Correct 106 ms 33816 KB Output is correct
75 Correct 107 ms 33652 KB Output is correct
76 Correct 128 ms 33048 KB Output is correct
77 Correct 89 ms 31892 KB Output is correct
78 Correct 95 ms 32196 KB Output is correct
79 Correct 135 ms 33472 KB Output is correct
80 Correct 77 ms 32556 KB Output is correct
81 Correct 161 ms 39740 KB Output is correct
82 Correct 162 ms 39612 KB Output is correct
83 Correct 125 ms 33452 KB Output is correct
84 Correct 95 ms 32240 KB Output is correct
85 Correct 207 ms 39692 KB Output is correct
86 Correct 112 ms 33516 KB Output is correct
87 Correct 120 ms 33528 KB Output is correct
88 Correct 125 ms 32752 KB Output is correct
89 Correct 138 ms 33324 KB Output is correct
90 Correct 171 ms 35376 KB Output is correct
91 Correct 207 ms 36036 KB Output is correct
92 Correct 185 ms 37036 KB Output is correct
93 Correct 166 ms 36328 KB Output is correct
94 Correct 137 ms 33824 KB Output is correct
95 Correct 114 ms 34548 KB Output is correct
96 Correct 89 ms 32308 KB Output is correct
97 Correct 107 ms 23688 KB Output is correct
98 Correct 164 ms 35656 KB Output is correct
99 Correct 135 ms 33040 KB Output is correct
100 Correct 35 ms 14180 KB Output is correct
101 Correct 207 ms 36852 KB Output is correct
102 Correct 131 ms 29776 KB Output is correct
103 Correct 154 ms 30808 KB Output is correct
104 Correct 177 ms 34688 KB Output is correct