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Submission #734182

# Submission time Handle Problem Language Result Execution time Memory
734182 2023-05-02T03:36:23 Z PurpleCrayon Stranded Far From Home (BOI22_island) C++17
100 / 100
 356 ms 53972 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 2e5+10, MOD = 1e9+7;

// keep removing the max node, mark component as bad if it's sum is < value of the node
int n, m;
int s[N], par[N];
ll sum[N];
vector<int> st[N], good[N], adj[N];
bool ans[N];

void mark_bad(int c) {
    c = par[c];
    for (int x : good[c]) ans[x] = 0;
    good[c].clear();
}

void union_sets(int a, int b) {
    a = par[a], b = par[b];
    if (a == b) return;
    if (sz(st[a]) < sz(st[b])) swap(a, b);
    for (int x : st[b]) {
        par[x] = a;
        st[a].push_back(x);
    }
    st[b].clear();
    for (int x : good[b]) {
        good[a].push_back(x);
    }
    good[b].clear();
    sum[a] += sum[b], sum[b] = 0;
}

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

    for (int i = 0; i < m; i++) {
        int a, b; cin >> a >> b, --a, --b;
        adj[a].push_back(b), adj[b].push_back(a);
    }

    for (int i = 0; i < n; i++) {
        par[i] = i; sum[i] = s[i];
        st[i].push_back(i);
        good[i].push_back(i);
    }

    vector<int> ord(n); iota(ord.begin(), ord.end(), 0);
    sort(ord.begin(), ord.end(), [&](int x, int y) { return s[x] < s[y]; });
    fill(ans, ans + n, 1);
    vector<bool> hit(n);
    for (int x : ord) {
        for (int nxt : adj[x]) if (hit[nxt]) {
            int v = par[nxt];
            if (sum[v] < s[x]) {
                mark_bad(v);
            }
        }

        for (int nxt : adj[x]) if (hit[nxt]) {
            union_sets(x, nxt);
        }

        hit[x] = 1;
    }

    for (int i = 0; i < n; i++) cout << ans[i];
    cout << '\n';
}

int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14420 KB Output is correct
2 Correct 8 ms 14328 KB Output is correct
3 Correct 8 ms 14420 KB Output is correct
4 Correct 12 ms 14648 KB Output is correct
5 Correct 12 ms 14644 KB Output is correct
6 Correct 9 ms 14656 KB Output is correct
7 Correct 9 ms 14672 KB Output is correct
8 Correct 9 ms 14568 KB Output is correct
9 Correct 10 ms 14676 KB Output is correct
10 Correct 11 ms 14676 KB Output is correct
11 Correct 12 ms 14676 KB Output is correct
12 Correct 9 ms 14716 KB Output is correct
13 Correct 9 ms 14676 KB Output is correct
14 Correct 11 ms 14676 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 8 ms 14372 KB Output is correct
3 Correct 194 ms 39740 KB Output is correct
4 Correct 200 ms 48344 KB Output is correct
5 Correct 261 ms 48348 KB Output is correct
6 Correct 266 ms 49948 KB Output is correct
7 Correct 256 ms 50344 KB Output is correct
8 Correct 245 ms 45888 KB Output is correct
9 Correct 262 ms 53964 KB Output is correct
10 Correct 239 ms 43128 KB Output is correct
11 Correct 180 ms 43844 KB Output is correct
12 Correct 292 ms 45104 KB Output is correct
13 Correct 199 ms 49460 KB Output is correct
14 Correct 249 ms 48552 KB Output is correct
15 Correct 192 ms 43792 KB Output is correct
16 Correct 130 ms 42768 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14420 KB Output is correct
2 Correct 329 ms 47976 KB Output is correct
3 Correct 337 ms 52528 KB Output is correct
4 Correct 212 ms 51404 KB Output is correct
5 Correct 209 ms 49480 KB Output is correct
6 Correct 303 ms 52420 KB Output is correct
7 Correct 199 ms 43744 KB Output is correct
8 Correct 204 ms 43704 KB Output is correct
9 Correct 113 ms 42752 KB Output is correct
10 Correct 195 ms 47512 KB Output is correct
11 Correct 260 ms 48788 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 14328 KB Output is correct
2 Correct 329 ms 41740 KB Output is correct
3 Correct 356 ms 47484 KB Output is correct
4 Correct 312 ms 48824 KB Output is correct
5 Correct 279 ms 49180 KB Output is correct
6 Correct 239 ms 44996 KB Output is correct
7 Correct 207 ms 44812 KB Output is correct
8 Correct 148 ms 45628 KB Output is correct
9 Correct 149 ms 30988 KB Output is correct
10 Correct 263 ms 49200 KB Output is correct
11 Correct 240 ms 49116 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14420 KB Output is correct
2 Correct 8 ms 14328 KB Output is correct
3 Correct 8 ms 14420 KB Output is correct
4 Correct 12 ms 14648 KB Output is correct
5 Correct 12 ms 14644 KB Output is correct
6 Correct 9 ms 14656 KB Output is correct
7 Correct 9 ms 14672 KB Output is correct
8 Correct 9 ms 14568 KB Output is correct
9 Correct 10 ms 14676 KB Output is correct
10 Correct 11 ms 14676 KB Output is correct
11 Correct 12 ms 14676 KB Output is correct
12 Correct 9 ms 14716 KB Output is correct
13 Correct 9 ms 14676 KB Output is correct
14 Correct 11 ms 14676 KB Output is correct
15 Correct 8 ms 14420 KB Output is correct
16 Correct 8 ms 14372 KB Output is correct
17 Correct 194 ms 39740 KB Output is correct
18 Correct 200 ms 48344 KB Output is correct
19 Correct 261 ms 48348 KB Output is correct
20 Correct 266 ms 49948 KB Output is correct
21 Correct 256 ms 50344 KB Output is correct
22 Correct 245 ms 45888 KB Output is correct
23 Correct 262 ms 53964 KB Output is correct
24 Correct 239 ms 43128 KB Output is correct
25 Correct 180 ms 43844 KB Output is correct
26 Correct 292 ms 45104 KB Output is correct
27 Correct 199 ms 49460 KB Output is correct
28 Correct 249 ms 48552 KB Output is correct
29 Correct 192 ms 43792 KB Output is correct
30 Correct 130 ms 42768 KB Output is correct
31 Correct 11 ms 14420 KB Output is correct
32 Correct 329 ms 47976 KB Output is correct
33 Correct 337 ms 52528 KB Output is correct
34 Correct 212 ms 51404 KB Output is correct
35 Correct 209 ms 49480 KB Output is correct
36 Correct 303 ms 52420 KB Output is correct
37 Correct 199 ms 43744 KB Output is correct
38 Correct 204 ms 43704 KB Output is correct
39 Correct 113 ms 42752 KB Output is correct
40 Correct 195 ms 47512 KB Output is correct
41 Correct 260 ms 48788 KB Output is correct
42 Correct 10 ms 14328 KB Output is correct
43 Correct 329 ms 41740 KB Output is correct
44 Correct 356 ms 47484 KB Output is correct
45 Correct 312 ms 48824 KB Output is correct
46 Correct 279 ms 49180 KB Output is correct
47 Correct 239 ms 44996 KB Output is correct
48 Correct 207 ms 44812 KB Output is correct
49 Correct 148 ms 45628 KB Output is correct
50 Correct 149 ms 30988 KB Output is correct
51 Correct 263 ms 49200 KB Output is correct
52 Correct 240 ms 49116 KB Output is correct
53 Correct 9 ms 14420 KB Output is correct
54 Correct 7 ms 14420 KB Output is correct
55 Correct 8 ms 14532 KB Output is correct
56 Correct 9 ms 14688 KB Output is correct
57 Correct 9 ms 14676 KB Output is correct
58 Correct 9 ms 14568 KB Output is correct
59 Correct 10 ms 14676 KB Output is correct
60 Correct 10 ms 14560 KB Output is correct
61 Correct 11 ms 14688 KB Output is correct
62 Correct 9 ms 14696 KB Output is correct
63 Correct 9 ms 14688 KB Output is correct
64 Correct 9 ms 14656 KB Output is correct
65 Correct 11 ms 14676 KB Output is correct
66 Correct 11 ms 14740 KB Output is correct
67 Correct 170 ms 44168 KB Output is correct
68 Correct 219 ms 48276 KB Output is correct
69 Correct 285 ms 48380 KB Output is correct
70 Correct 264 ms 49968 KB Output is correct
71 Correct 272 ms 50380 KB Output is correct
72 Correct 239 ms 45900 KB Output is correct
73 Correct 200 ms 53972 KB Output is correct
74 Correct 231 ms 43228 KB Output is correct
75 Correct 188 ms 43848 KB Output is correct
76 Correct 257 ms 45168 KB Output is correct
77 Correct 199 ms 49552 KB Output is correct
78 Correct 189 ms 48628 KB Output is correct
79 Correct 186 ms 43652 KB Output is correct
80 Correct 111 ms 42812 KB Output is correct
81 Correct 321 ms 52460 KB Output is correct
82 Correct 296 ms 52464 KB Output is correct
83 Correct 204 ms 51408 KB Output is correct
84 Correct 192 ms 49532 KB Output is correct
85 Correct 319 ms 52496 KB Output is correct
86 Correct 214 ms 43672 KB Output is correct
87 Correct 235 ms 43740 KB Output is correct
88 Correct 194 ms 47592 KB Output is correct
89 Correct 221 ms 48696 KB Output is correct
90 Correct 290 ms 46140 KB Output is correct
91 Correct 295 ms 47424 KB Output is correct
92 Correct 288 ms 48816 KB Output is correct
93 Correct 258 ms 49112 KB Output is correct
94 Correct 244 ms 45000 KB Output is correct
95 Correct 163 ms 44864 KB Output is correct
96 Correct 131 ms 45620 KB Output is correct
97 Correct 146 ms 30908 KB Output is correct
98 Correct 289 ms 49200 KB Output is correct
99 Correct 216 ms 49020 KB Output is correct
100 Correct 53 ms 18764 KB Output is correct
101 Correct 326 ms 48292 KB Output is correct
102 Correct 180 ms 38976 KB Output is correct
103 Correct 255 ms 40048 KB Output is correct
104 Correct 284 ms 45060 KB Output is correct