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Submission #1051097

# Submission time Handle Problem Language Result Execution time Memory
1051097 2024-08-09T19:41:27 Z sofijavelkovska Stranded Far From Home (BOI22_island) C++17
100 / 100
 363 ms 72144 KB 
#include <bits/stdc++.h>
using namespace std;

const int MAXN=2e5, INF=2e9;

int n, m;
int a[MAXN];
vector<int> adj[MAXN];
int link[MAXN], csize[MAXN], cindex[MAXN];
long long sum[MAXN];
set<pair<int, int> > neighbours[MAXN];

bool compare(int x, int y)
{
    return a[x]<a[y];
}

int find(int x)
{
    if (x==link[x])
        return x;

    return link[x]=find(link[x]);
}

void unite(int x, int y, int maxvalue)
{
    x=find(x);
    y=find(y);
    if (neighbours[cindex[x]].size()<neighbours[cindex[y]].size())
        swap(x, y);
    for (auto t : neighbours[cindex[y]])
        if (t.first>maxvalue)
            neighbours[cindex[x]].insert(t);
    neighbours[cindex[y]].clear();
    cindex[y]=cindex[x];
    if (csize[x]<csize[y])
        swap(x, y);
    csize[x]=csize[x]+csize[y];
    sum[x]=sum[x]+sum[y];
    link[y]=x;

    return;
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> m;
    for (int i=0; i<n; i++)
        cin >> a[i];
    for (int i=0; i<m; i++)
    {
        int x, y;
        cin >> x >> y;
        adj[x-1].push_back(y-1);
        adj[y-1].push_back(x-1);
    }
    int sorted[n];
    for (int i=0; i<n; i++)
        sorted[i]=i;
    sort(sorted, sorted+n, compare);
    for (int i=0; i<n; i++)
    {
        link[i]=i;
        csize[i]=1;
        sum[i]=a[i];
        cindex[i]=i;
        for (auto x : adj[i])
            neighbours[i].insert({a[x], x});
    }
    map<int, vector<int> > byvalue;
    for (int i=0; i<n; i++)
        byvalue[a[i]].push_back(i);
    bool possible[n];
    for (int i=0; i<n; i++)
        possible[i]=true;
    queue<int> q;
    vector<int> todelete[n];
    for (auto k : byvalue)
    {
        for (auto x : k.second)
        {
            for (auto y : adj[x])
                if (a[y]<=a[x] && find(x)!=find(y))
                    unite(x, y, a[x]);
        }
        for (auto x : k.second)
        {
            int leader=find(x);
            while (!neighbours[cindex[leader]].empty() && (*neighbours[cindex[leader]].begin()).first<=a[x])
                neighbours[cindex[leader]].erase(neighbours[cindex[leader]].begin());
            if (neighbours[cindex[leader]].empty())
                continue;
            auto it=neighbours[cindex[leader]].begin();
            if (sum[leader]>=(*it).first)
            {
                todelete[(*it).second].push_back(x);
                continue;
            }
            possible[x]=false;
            q.push(x);
            while (!q.empty())
            {
                int y=q.front();
                q.pop();
                for (auto t : todelete[y])
                    if (a[t]<=a[x] && possible[t])
                    {
                        possible[t]=false;
                        q.push(t);
                    }
            }
        }
    }
    for (int i=0; i<n; i++)
        cout << possible[i];

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 4 ms 19548 KB Output is correct
5 Correct 4 ms 19604 KB Output is correct
6 Correct 4 ms 19292 KB Output is correct
7 Correct 4 ms 19320 KB Output is correct
8 Correct 4 ms 19292 KB Output is correct
9 Correct 3 ms 19288 KB Output is correct
10 Correct 3 ms 19548 KB Output is correct
11 Correct 4 ms 19548 KB Output is correct
12 Correct 3 ms 19548 KB Output is correct
13 Correct 4 ms 19292 KB Output is correct
14 Correct 3 ms 19292 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 3 ms 19036 KB Output is correct
3 Correct 189 ms 72008 KB Output is correct
4 Correct 119 ms 51396 KB Output is correct
5 Correct 220 ms 70400 KB Output is correct
6 Correct 229 ms 66812 KB Output is correct
7 Correct 223 ms 72144 KB Output is correct
8 Correct 181 ms 51664 KB Output is correct
9 Correct 151 ms 66992 KB Output is correct
10 Correct 229 ms 67680 KB Output is correct
11 Correct 205 ms 52208 KB Output is correct
12 Correct 182 ms 51572 KB Output is correct
13 Correct 92 ms 51488 KB Output is correct
14 Correct 110 ms 51508 KB Output is correct
15 Correct 175 ms 71888 KB Output is correct
16 Correct 124 ms 71336 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 19036 KB Output is correct
2 Correct 356 ms 71848 KB Output is correct
3 Correct 357 ms 67116 KB Output is correct
4 Correct 114 ms 51548 KB Output is correct
5 Correct 108 ms 51468 KB Output is correct
6 Correct 363 ms 71940 KB Output is correct
7 Correct 176 ms 72080 KB Output is correct
8 Correct 193 ms 72020 KB Output is correct
9 Correct 144 ms 71548 KB Output is correct
10 Correct 157 ms 61644 KB Output is correct
11 Correct 201 ms 52044 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19036 KB Output is correct
2 Correct 243 ms 51364 KB Output is correct
3 Correct 250 ms 51080 KB Output is correct
4 Correct 250 ms 51532 KB Output is correct
5 Correct 158 ms 51364 KB Output is correct
6 Correct 151 ms 50440 KB Output is correct
7 Correct 198 ms 52252 KB Output is correct
8 Correct 84 ms 51304 KB Output is correct
9 Correct 142 ms 45564 KB Output is correct
10 Correct 148 ms 51720 KB Output is correct
11 Correct 174 ms 51108 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 19036 KB Output is correct
2 Correct 2 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 4 ms 19548 KB Output is correct
5 Correct 4 ms 19604 KB Output is correct
6 Correct 4 ms 19292 KB Output is correct
7 Correct 4 ms 19320 KB Output is correct
8 Correct 4 ms 19292 KB Output is correct
9 Correct 3 ms 19288 KB Output is correct
10 Correct 3 ms 19548 KB Output is correct
11 Correct 4 ms 19548 KB Output is correct
12 Correct 3 ms 19548 KB Output is correct
13 Correct 4 ms 19292 KB Output is correct
14 Correct 3 ms 19292 KB Output is correct
15 Correct 2 ms 19036 KB Output is correct
16 Correct 3 ms 19036 KB Output is correct
17 Correct 189 ms 72008 KB Output is correct
18 Correct 119 ms 51396 KB Output is correct
19 Correct 220 ms 70400 KB Output is correct
20 Correct 229 ms 66812 KB Output is correct
21 Correct 223 ms 72144 KB Output is correct
22 Correct 181 ms 51664 KB Output is correct
23 Correct 151 ms 66992 KB Output is correct
24 Correct 229 ms 67680 KB Output is correct
25 Correct 205 ms 52208 KB Output is correct
26 Correct 182 ms 51572 KB Output is correct
27 Correct 92 ms 51488 KB Output is correct
28 Correct 110 ms 51508 KB Output is correct
29 Correct 175 ms 71888 KB Output is correct
30 Correct 124 ms 71336 KB Output is correct
31 Correct 2 ms 19036 KB Output is correct
32 Correct 356 ms 71848 KB Output is correct
33 Correct 357 ms 67116 KB Output is correct
34 Correct 114 ms 51548 KB Output is correct
35 Correct 108 ms 51468 KB Output is correct
36 Correct 363 ms 71940 KB Output is correct
37 Correct 176 ms 72080 KB Output is correct
38 Correct 193 ms 72020 KB Output is correct
39 Correct 144 ms 71548 KB Output is correct
40 Correct 157 ms 61644 KB Output is correct
41 Correct 201 ms 52044 KB Output is correct
42 Correct 3 ms 19036 KB Output is correct
43 Correct 243 ms 51364 KB Output is correct
44 Correct 250 ms 51080 KB Output is correct
45 Correct 250 ms 51532 KB Output is correct
46 Correct 158 ms 51364 KB Output is correct
47 Correct 151 ms 50440 KB Output is correct
48 Correct 198 ms 52252 KB Output is correct
49 Correct 84 ms 51304 KB Output is correct
50 Correct 142 ms 45564 KB Output is correct
51 Correct 148 ms 51720 KB Output is correct
52 Correct 174 ms 51108 KB Output is correct
53 Correct 2 ms 19032 KB Output is correct
54 Correct 2 ms 19040 KB Output is correct
55 Correct 2 ms 19056 KB Output is correct
56 Correct 4 ms 19544 KB Output is correct
57 Correct 4 ms 19548 KB Output is correct
58 Correct 3 ms 19292 KB Output is correct
59 Correct 3 ms 19292 KB Output is correct
60 Correct 4 ms 19292 KB Output is correct
61 Correct 3 ms 19292 KB Output is correct
62 Correct 3 ms 19548 KB Output is correct
63 Correct 3 ms 19632 KB Output is correct
64 Correct 3 ms 19548 KB Output is correct
65 Correct 3 ms 19300 KB Output is correct
66 Correct 3 ms 19292 KB Output is correct
67 Correct 139 ms 71964 KB Output is correct
68 Correct 95 ms 51400 KB Output is correct
69 Correct 178 ms 70260 KB Output is correct
70 Correct 190 ms 66900 KB Output is correct
71 Correct 193 ms 72020 KB Output is correct
72 Correct 141 ms 51660 KB Output is correct
73 Correct 125 ms 66732 KB Output is correct
74 Correct 208 ms 67524 KB Output is correct
75 Correct 160 ms 52296 KB Output is correct
76 Correct 153 ms 51724 KB Output is correct
77 Correct 83 ms 51456 KB Output is correct
78 Correct 87 ms 51396 KB Output is correct
79 Correct 141 ms 72016 KB Output is correct
80 Correct 115 ms 71504 KB Output is correct
81 Correct 299 ms 71760 KB Output is correct
82 Correct 294 ms 67116 KB Output is correct
83 Correct 85 ms 51652 KB Output is correct
84 Correct 82 ms 51396 KB Output is correct
85 Correct 305 ms 72020 KB Output is correct
86 Correct 195 ms 72072 KB Output is correct
87 Correct 164 ms 72016 KB Output is correct
88 Correct 124 ms 61644 KB Output is correct
89 Correct 146 ms 51868 KB Output is correct
90 Correct 220 ms 51256 KB Output is correct
91 Correct 198 ms 51024 KB Output is correct
92 Correct 219 ms 51536 KB Output is correct
93 Correct 129 ms 51388 KB Output is correct
94 Correct 153 ms 50636 KB Output is correct
95 Correct 152 ms 52292 KB Output is correct
96 Correct 83 ms 51144 KB Output is correct
97 Correct 130 ms 45648 KB Output is correct
98 Correct 136 ms 51656 KB Output is correct
99 Correct 138 ms 51104 KB Output is correct
100 Correct 95 ms 40276 KB Output is correct
101 Correct 304 ms 67152 KB Output is correct
102 Correct 111 ms 48580 KB Output is correct
103 Correct 306 ms 62076 KB Output is correct
104 Correct 332 ms 71248 KB Output is correct