oj.uz

Submission #723113

# Submission time Handle Problem Language Result Execution time Memory
723113 2023-04-13T08:50:27 Z dxz05 Stranded Far From Home (BOI22_island) C++17
100 / 100
 516 ms 38992 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
#define all(x) (x).begin(), (x).end()
#define MP make_pair
const int N = 200500;

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

int n;
int s[N];
bool can[N];

struct dsu{
    vector<int> p;
    vector<long long> sum;
    vector<set<int>> children;

    dsu(){
        p.resize(n);
        iota(all(p), 0);

        sum.resize(n);
        for (int i = 0; i < n; i++) sum[i] = s[i];

        children.resize(n);
        for (int i = 0; i < n; i++){
            children[i].insert(i);
        }
    }

    int leader(int x){
        return (x == p[x] ? x : p[x] = leader(p[x]));
    }

    bool unite(int x, int y){
        int px = leader(x);
        int py = leader(y);
        if (px == py) return false;

        if (sum[px] < s[y]){
            for (int i : children[px]) can[i] = false;
            children[px].clear();
        }
        if (sum[py] < s[x]){
            for (int i : children[py]) can[i] = false;
            children[py].clear();
        }

        x = px, y = py;

        if (children[x].size() > children[y].size()) swap(x, y);

        for (int i : children[x]) children[y].insert(i);
        children[x].clear();

        sum[y] += sum[x];
        p[x] = y;

        return true;
    }
};

vector<int> g[N];
void solve(){
    int m;
    cin >> n >> m;

    for (int i = 0; i < n; i++){
        cin >> s[i];
    }

    vector<pair<int, int>> edges;
    while (m--){
        int u, v;
        cin >> u >> v;
        --u, --v;
        g[u].push_back(v);
        g[v].push_back(u);
        if (s[u] > s[v]) swap(u, v);
        edges.emplace_back(u, v);
    }

    sort(all(edges), [](auto x, auto y){
        return s[x.second] < s[y.second];
    });

    fill(can, can + n, true);

    dsu d;
    for (auto [u, v] : edges){
        d.unite(u, v);
    }

    for (int i = 0; i < n; i++){
        cout << can[i];
    }

}

int main() {
    ios_base::sync_with_stdio(false);

#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif

    solve();

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 5204 KB Output is correct
5 Correct 5 ms 5332 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 4 ms 5332 KB Output is correct
10 Correct 4 ms 5332 KB Output is correct
11 Correct 6 ms 5332 KB Output is correct
12 Correct 4 ms 5264 KB Output is correct
13 Correct 5 ms 5332 KB Output is correct
14 Correct 5 ms 5332 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 190 ms 35068 KB Output is correct
4 Correct 484 ms 38992 KB Output is correct
5 Correct 336 ms 34232 KB Output is correct
6 Correct 419 ms 35192 KB Output is correct
7 Correct 350 ms 35344 KB Output is correct
8 Correct 503 ms 37620 KB Output is correct
9 Correct 242 ms 35296 KB Output is correct
10 Correct 181 ms 35968 KB Output is correct
11 Correct 292 ms 35968 KB Output is correct
12 Correct 296 ms 35312 KB Output is correct
13 Correct 439 ms 38780 KB Output is correct
14 Correct 439 ms 38196 KB Output is correct
15 Correct 211 ms 35240 KB Output is correct
16 Correct 138 ms 34820 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 354 ms 34924 KB Output is correct
3 Correct 349 ms 35316 KB Output is correct
4 Correct 477 ms 37896 KB Output is correct
5 Correct 455 ms 37944 KB Output is correct
6 Correct 366 ms 35384 KB Output is correct
7 Correct 196 ms 35256 KB Output is correct
8 Correct 202 ms 35420 KB Output is correct
9 Correct 138 ms 35032 KB Output is correct
10 Correct 362 ms 35256 KB Output is correct
11 Correct 425 ms 35132 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 356 ms 34996 KB Output is correct
3 Correct 371 ms 35180 KB Output is correct
4 Correct 425 ms 35308 KB Output is correct
5 Correct 512 ms 36024 KB Output is correct
6 Correct 419 ms 34224 KB Output is correct
7 Correct 334 ms 36040 KB Output is correct
8 Correct 173 ms 36504 KB Output is correct
9 Correct 151 ms 21868 KB Output is correct
10 Correct 516 ms 36796 KB Output is correct
11 Correct 347 ms 35080 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 5204 KB Output is correct
5 Correct 5 ms 5332 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 4 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 4 ms 5332 KB Output is correct
10 Correct 4 ms 5332 KB Output is correct
11 Correct 6 ms 5332 KB Output is correct
12 Correct 4 ms 5264 KB Output is correct
13 Correct 5 ms 5332 KB Output is correct
14 Correct 5 ms 5332 KB Output is correct
15 Correct 4 ms 4948 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 190 ms 35068 KB Output is correct
18 Correct 484 ms 38992 KB Output is correct
19 Correct 336 ms 34232 KB Output is correct
20 Correct 419 ms 35192 KB Output is correct
21 Correct 350 ms 35344 KB Output is correct
22 Correct 503 ms 37620 KB Output is correct
23 Correct 242 ms 35296 KB Output is correct
24 Correct 181 ms 35968 KB Output is correct
25 Correct 292 ms 35968 KB Output is correct
26 Correct 296 ms 35312 KB Output is correct
27 Correct 439 ms 38780 KB Output is correct
28 Correct 439 ms 38196 KB Output is correct
29 Correct 211 ms 35240 KB Output is correct
30 Correct 138 ms 34820 KB Output is correct
31 Correct 2 ms 4948 KB Output is correct
32 Correct 354 ms 34924 KB Output is correct
33 Correct 349 ms 35316 KB Output is correct
34 Correct 477 ms 37896 KB Output is correct
35 Correct 455 ms 37944 KB Output is correct
36 Correct 366 ms 35384 KB Output is correct
37 Correct 196 ms 35256 KB Output is correct
38 Correct 202 ms 35420 KB Output is correct
39 Correct 138 ms 35032 KB Output is correct
40 Correct 362 ms 35256 KB Output is correct
41 Correct 425 ms 35132 KB Output is correct
42 Correct 3 ms 4948 KB Output is correct
43 Correct 356 ms 34996 KB Output is correct
44 Correct 371 ms 35180 KB Output is correct
45 Correct 425 ms 35308 KB Output is correct
46 Correct 512 ms 36024 KB Output is correct
47 Correct 419 ms 34224 KB Output is correct
48 Correct 334 ms 36040 KB Output is correct
49 Correct 173 ms 36504 KB Output is correct
50 Correct 151 ms 21868 KB Output is correct
51 Correct 516 ms 36796 KB Output is correct
52 Correct 347 ms 35080 KB Output is correct
53 Correct 2 ms 4948 KB Output is correct
54 Correct 3 ms 4948 KB Output is correct
55 Correct 3 ms 5076 KB Output is correct
56 Correct 5 ms 5204 KB Output is correct
57 Correct 5 ms 5332 KB Output is correct
58 Correct 4 ms 5204 KB Output is correct
59 Correct 4 ms 5204 KB Output is correct
60 Correct 4 ms 5204 KB Output is correct
61 Correct 4 ms 5332 KB Output is correct
62 Correct 5 ms 5308 KB Output is correct
63 Correct 4 ms 5332 KB Output is correct
64 Correct 4 ms 5332 KB Output is correct
65 Correct 4 ms 5332 KB Output is correct
66 Correct 6 ms 5260 KB Output is correct
67 Correct 188 ms 35164 KB Output is correct
68 Correct 465 ms 38800 KB Output is correct
69 Correct 286 ms 34180 KB Output is correct
70 Correct 315 ms 35088 KB Output is correct
71 Correct 313 ms 35172 KB Output is correct
72 Correct 510 ms 37488 KB Output is correct
73 Correct 252 ms 35156 KB Output is correct
74 Correct 186 ms 35896 KB Output is correct
75 Correct 313 ms 35912 KB Output is correct
76 Correct 296 ms 35196 KB Output is correct
77 Correct 445 ms 38804 KB Output is correct
78 Correct 416 ms 38080 KB Output is correct
79 Correct 188 ms 35100 KB Output is correct
80 Correct 134 ms 34756 KB Output is correct
81 Correct 312 ms 35000 KB Output is correct
82 Correct 338 ms 35100 KB Output is correct
83 Correct 469 ms 37800 KB Output is correct
84 Correct 456 ms 37736 KB Output is correct
85 Correct 329 ms 35100 KB Output is correct
86 Correct 209 ms 35096 KB Output is correct
87 Correct 210 ms 35128 KB Output is correct
88 Correct 339 ms 35236 KB Output is correct
89 Correct 366 ms 35188 KB Output is correct
90 Correct 333 ms 35100 KB Output is correct
91 Correct 386 ms 35044 KB Output is correct
92 Correct 427 ms 35236 KB Output is correct
93 Correct 442 ms 35908 KB Output is correct
94 Correct 410 ms 33976 KB Output is correct
95 Correct 321 ms 35852 KB Output is correct
96 Correct 179 ms 36372 KB Output is correct
97 Correct 178 ms 21936 KB Output is correct
98 Correct 505 ms 36716 KB Output is correct
99 Correct 389 ms 35196 KB Output is correct
100 Correct 56 ms 9160 KB Output is correct
101 Correct 422 ms 35332 KB Output is correct
102 Correct 324 ms 29216 KB Output is correct
103 Correct 282 ms 30656 KB Output is correct
104 Correct 321 ms 34700 KB Output is correct