Submission #640388

# Submission time Handle Problem Language Result Execution time Memory
640388 2022-09-14T14:04:43 Z christinelynn Stranded Far From Home (BOI22_island) C++17
100 / 100
261 ms 34520 KB
#include<algorithm>
#include<iostream>
#include<iomanip>
#include<cstring>
#include<numeric>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<stack>
#include<deque>
#include<cmath>
#include<map>
#include<set>
using namespace std;

#define ll long long
#define ld long double

struct DSU{
    vector<vector<int>> group;
    vector<int> par;
    vector<ll> sz, val;
    int N;

    DSU(int _N){
        N = _N;
        sz = vector<ll>(N+1);
        val = vector<ll>(N+1);
        par = vector<int>(N+1); iota(par.begin(), par.end(), 0);
        group = vector<vector<int>>(N+1); for(int i = 1; i <= N; ++i)group[i].push_back(i);
    }

    int rep(int x){
        if(par[x] == x)return x;
        return par[x] = rep(par[x]);
    }

    void comb(int u, int v){
        int pu = rep(u), pv = rep(v);
        if(pu != pv){
            if(val[pv] < sz[u]){
                vector<int>().swap(group[pv]);
            }
            if((int)group[pu].size() > (int)group[pv].size()){
                swap(pu, pv);
            }
            for(int elem : group[pu]){
                group[pv].push_back(elem);
            }
            vector<int>().swap(group[pu]);
            val[pv] += val[pu];
            par[pu] = pv;
        }
    }
};

vector<int> adj[200005];

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

    int N, M; cin >> N >> M;

    DSU dsu(N);

    vector<pair<int, int>> order;
    for(int i = 1; i <= N; ++i){
        int x; cin >> x;
        dsu.val[i] = dsu.sz[i] = x;
        order.push_back({x, i});
    }

    for(int i = 1; i <= M; ++i){
        int u, v; cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }

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

    vector<bool> vis(N+1);
    for(int i = 0; i < N; ++i){
        int cur = order[i].second;
        vis[cur] = 1;
        for(int nx : adj[cur]){
            if(vis[nx]){
                dsu.comb(cur, nx);
            }
        }
    }

    vector<bool> answer(N+1);
    for(int elem : dsu.group[dsu.rep(1)]){
        answer[elem] = 1;
    }

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

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5204 KB Output is correct
5 Correct 5 ms 5288 KB Output is correct
6 Correct 4 ms 5160 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 3 ms 5148 KB Output is correct
9 Correct 4 ms 5228 KB Output is correct
10 Correct 4 ms 5284 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 3 ms 5204 KB Output is correct
13 Correct 3 ms 5160 KB Output is correct
14 Correct 4 ms 5236 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 145 ms 27920 KB Output is correct
4 Correct 156 ms 27928 KB Output is correct
5 Correct 161 ms 27728 KB Output is correct
6 Correct 206 ms 30832 KB Output is correct
7 Correct 201 ms 30792 KB Output is correct
8 Correct 147 ms 30356 KB Output is correct
9 Correct 145 ms 30308 KB Output is correct
10 Correct 180 ms 31064 KB Output is correct
11 Correct 147 ms 31136 KB Output is correct
12 Correct 156 ms 30340 KB Output is correct
13 Correct 138 ms 30312 KB Output is correct
14 Correct 148 ms 30324 KB Output is correct
15 Correct 162 ms 30344 KB Output is correct
16 Correct 96 ms 30080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 221 ms 28292 KB Output is correct
3 Correct 213 ms 29360 KB Output is correct
4 Correct 174 ms 28984 KB Output is correct
5 Correct 140 ms 30180 KB Output is correct
6 Correct 209 ms 30624 KB Output is correct
7 Correct 163 ms 30180 KB Output is correct
8 Correct 164 ms 30204 KB Output is correct
9 Correct 97 ms 30008 KB Output is correct
10 Correct 146 ms 30228 KB Output is correct
11 Correct 163 ms 31272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 221 ms 28852 KB Output is correct
3 Correct 237 ms 31396 KB Output is correct
4 Correct 248 ms 32068 KB Output is correct
5 Correct 208 ms 32448 KB Output is correct
6 Correct 184 ms 30988 KB Output is correct
7 Correct 136 ms 32100 KB Output is correct
8 Correct 103 ms 30248 KB Output is correct
9 Correct 116 ms 20092 KB Output is correct
10 Correct 176 ms 33272 KB Output is correct
11 Correct 167 ms 31268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5204 KB Output is correct
5 Correct 5 ms 5288 KB Output is correct
6 Correct 4 ms 5160 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 3 ms 5148 KB Output is correct
9 Correct 4 ms 5228 KB Output is correct
10 Correct 4 ms 5284 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 3 ms 5204 KB Output is correct
13 Correct 3 ms 5160 KB Output is correct
14 Correct 4 ms 5236 KB Output is correct
15 Correct 2 ms 4948 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 145 ms 27920 KB Output is correct
18 Correct 156 ms 27928 KB Output is correct
19 Correct 161 ms 27728 KB Output is correct
20 Correct 206 ms 30832 KB Output is correct
21 Correct 201 ms 30792 KB Output is correct
22 Correct 147 ms 30356 KB Output is correct
23 Correct 145 ms 30308 KB Output is correct
24 Correct 180 ms 31064 KB Output is correct
25 Correct 147 ms 31136 KB Output is correct
26 Correct 156 ms 30340 KB Output is correct
27 Correct 138 ms 30312 KB Output is correct
28 Correct 148 ms 30324 KB Output is correct
29 Correct 162 ms 30344 KB Output is correct
30 Correct 96 ms 30080 KB Output is correct
31 Correct 2 ms 4948 KB Output is correct
32 Correct 221 ms 28292 KB Output is correct
33 Correct 213 ms 29360 KB Output is correct
34 Correct 174 ms 28984 KB Output is correct
35 Correct 140 ms 30180 KB Output is correct
36 Correct 209 ms 30624 KB Output is correct
37 Correct 163 ms 30180 KB Output is correct
38 Correct 164 ms 30204 KB Output is correct
39 Correct 97 ms 30008 KB Output is correct
40 Correct 146 ms 30228 KB Output is correct
41 Correct 163 ms 31272 KB Output is correct
42 Correct 2 ms 4948 KB Output is correct
43 Correct 221 ms 28852 KB Output is correct
44 Correct 237 ms 31396 KB Output is correct
45 Correct 248 ms 32068 KB Output is correct
46 Correct 208 ms 32448 KB Output is correct
47 Correct 184 ms 30988 KB Output is correct
48 Correct 136 ms 32100 KB Output is correct
49 Correct 103 ms 30248 KB Output is correct
50 Correct 116 ms 20092 KB Output is correct
51 Correct 176 ms 33272 KB Output is correct
52 Correct 167 ms 31268 KB Output is correct
53 Correct 3 ms 4948 KB Output is correct
54 Correct 3 ms 4948 KB Output is correct
55 Correct 3 ms 4948 KB Output is correct
56 Correct 4 ms 5160 KB Output is correct
57 Correct 5 ms 5288 KB Output is correct
58 Correct 4 ms 5180 KB Output is correct
59 Correct 4 ms 5156 KB Output is correct
60 Correct 4 ms 5136 KB Output is correct
61 Correct 4 ms 5204 KB Output is correct
62 Correct 4 ms 5284 KB Output is correct
63 Correct 5 ms 5284 KB Output is correct
64 Correct 4 ms 5284 KB Output is correct
65 Correct 4 ms 5204 KB Output is correct
66 Correct 4 ms 5204 KB Output is correct
67 Correct 160 ms 30380 KB Output is correct
68 Correct 142 ms 30152 KB Output is correct
69 Correct 197 ms 30044 KB Output is correct
70 Correct 182 ms 30596 KB Output is correct
71 Correct 189 ms 30624 KB Output is correct
72 Correct 157 ms 30300 KB Output is correct
73 Correct 149 ms 30300 KB Output is correct
74 Correct 171 ms 31016 KB Output is correct
75 Correct 151 ms 30988 KB Output is correct
76 Correct 162 ms 30212 KB Output is correct
77 Correct 149 ms 30260 KB Output is correct
78 Correct 140 ms 30128 KB Output is correct
79 Correct 156 ms 30312 KB Output is correct
80 Correct 100 ms 30828 KB Output is correct
81 Correct 215 ms 30592 KB Output is correct
82 Correct 224 ms 30744 KB Output is correct
83 Correct 183 ms 30288 KB Output is correct
84 Correct 144 ms 30172 KB Output is correct
85 Correct 217 ms 32532 KB Output is correct
86 Correct 162 ms 31976 KB Output is correct
87 Correct 176 ms 32288 KB Output is correct
88 Correct 139 ms 31640 KB Output is correct
89 Correct 179 ms 31960 KB Output is correct
90 Correct 261 ms 31188 KB Output is correct
91 Correct 240 ms 31552 KB Output is correct
92 Correct 239 ms 34320 KB Output is correct
93 Correct 219 ms 34520 KB Output is correct
94 Correct 186 ms 33076 KB Output is correct
95 Correct 154 ms 32196 KB Output is correct
96 Correct 107 ms 30364 KB Output is correct
97 Correct 121 ms 20416 KB Output is correct
98 Correct 188 ms 33868 KB Output is correct
99 Correct 170 ms 31988 KB Output is correct
100 Correct 41 ms 9468 KB Output is correct
101 Correct 246 ms 33928 KB Output is correct
102 Correct 212 ms 28824 KB Output is correct
103 Correct 196 ms 29256 KB Output is correct
104 Correct 236 ms 33084 KB Output is correct