oj.uz

Submission #723048

# Submission time Handle Problem Language Result Execution time Memory
723048 2023-04-13T07:55:37 Z drdilyor Stranded Far From Home (BOI22_island) C++17
100 / 100
 899 ms 135396 KB 
#include<bits/stdc++.h>
using namespace std;
using ll = long long;

struct dsu {
    vector<int> par;
    vector<ll> sum;
    vector<vector<int>> el;
    vector<set<int>> ed;
    dsu(int n, vector<int> s) : par(n), sum(s.begin(), s.end()), el(n), ed(n) {
        for (int i = 0; i < n; i++) par[i] = i, el[i] = {i};
    }
    int get(int i) {
        return par[i] == i ? par[i] : par[i] = get(par[i]);
    }
    void edge(int i, int j) {
        ed[get(i)].insert(j);
    }
    void merge(int a, int b) {
        a = get(a);
        b = get(b);
        if (el[a].size() < el[b].size())
            swap(a, b);
        if (a != b) {
            par[b] =a;
            sum[a] += sum[b];
            for (int x : el[b])
                el[a].push_back(x);
            if (ed[a].size() < ed[b].size())
                swap(ed[a], ed[b]);
            for (int x : ed[b])
                ed[a].insert(x);
        }
    }
};

int main() {
    int n, m;
    cin >> n >> m;
    vector s(n, 0);
    for (int& i : s) cin >> i;

    vector<int> ix(n);
    for (int i{}; i < n ;i++) ix[i] = i;
    stable_sort(ix.begin(), ix.end(), [&](int a, int b) {
        return s[a] > s[b];
    });
    vector<int> jx(n);
    for (int i = 0; i < n; i ++)
        jx[ix[i]] = i;
    stable_sort(s.begin(), s.end(), greater{});

    vector<vector<int>> adj(n);
    for (int i = 0; i < m ;i++) {
        int u, v;
        cin >> u >> v;
        u--;v--;
        adj[jx[u]].push_back(jx[v]);
        adj[jx[v]].push_back(jx[u]);
    }

    for (int i = 0; i < n; i++) {
        sort(adj[i].begin(), adj[i].end());
    }

    //for (int i : ix) cout << i << ' ';cout << endl;
    //for (int i : jx) cout << i << ' ';cout << endl;
    //for (int i : s) cout << i << ' ';cout << endl;
    string res(n, '?');
    vector<int> back(n, -1);

    dsu cc(n, s);

    for (int i =n -1; i >= 0;i --) {
        for (int j : adj[i]) {
            cc.edge(i, j);
            if (j > i)
            cc.merge(i, j);
        }

        int c = cc.get(i);
        ll sum = cc.sum[c];

        auto it = cc.ed[c].lower_bound(i);
        if (it != cc.ed[c].begin()) {
            --it;
            back[i] = max(back[i], *it);
        }

        if (back[i] != -1 && s[back[i]] > sum)
            back[i] = -1;
        if (back[i] == -1) {
            if (i == 0)
                res[i] = '1';
            else res[i] = '0';
        }
    }

    string ans(n, '?');
    for (int i = 1; i < n;i++) {
        if (back[i] != -1) res[i] = res[back[i]];
    }
    for (int i = 0; i < n; i++) {
        ans[ix[i]] = res[i];
    }
    cout << ans << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 224 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 4 ms 852 KB Output is correct
5 Correct 4 ms 1108 KB Output is correct
6 Correct 3 ms 852 KB Output is correct
7 Correct 4 ms 852 KB Output is correct
8 Correct 4 ms 724 KB Output is correct
9 Correct 3 ms 852 KB Output is correct
10 Correct 5 ms 1236 KB Output is correct
11 Correct 5 ms 1236 KB Output is correct
12 Correct 6 ms 1236 KB Output is correct
13 Correct 3 ms 948 KB Output is correct
14 Correct 4 ms 1060 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 425 ms 70964 KB Output is correct
4 Correct 391 ms 71156 KB Output is correct
5 Correct 614 ms 93624 KB Output is correct
6 Correct 700 ms 97852 KB Output is correct
7 Correct 646 ms 98208 KB Output is correct
8 Correct 716 ms 95228 KB Output is correct
9 Correct 598 ms 135396 KB Output is correct
10 Correct 329 ms 58140 KB Output is correct
11 Correct 322 ms 57996 KB Output is correct
12 Correct 611 ms 94992 KB Output is correct
13 Correct 377 ms 66612 KB Output is correct
14 Correct 363 ms 66760 KB Output is correct
15 Correct 410 ms 66716 KB Output is correct
16 Correct 336 ms 66212 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 755 ms 117908 KB Output is correct
3 Correct 737 ms 117960 KB Output is correct
4 Correct 425 ms 66620 KB Output is correct
5 Correct 393 ms 69904 KB Output is correct
6 Correct 762 ms 116968 KB Output is correct
7 Correct 431 ms 66760 KB Output is correct
8 Correct 432 ms 66668 KB Output is correct
9 Correct 322 ms 65960 KB Output is correct
10 Correct 394 ms 62032 KB Output is correct
11 Correct 469 ms 78968 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 747 ms 85632 KB Output is correct
3 Correct 729 ms 91812 KB Output is correct
4 Correct 899 ms 97384 KB Output is correct
5 Correct 774 ms 93120 KB Output is correct
6 Correct 658 ms 78460 KB Output is correct
7 Correct 373 ms 58212 KB Output is correct
8 Correct 383 ms 66748 KB Output is correct
9 Correct 432 ms 45264 KB Output is correct
10 Correct 782 ms 97268 KB Output is correct
11 Correct 520 ms 75668 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 224 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 4 ms 852 KB Output is correct
5 Correct 4 ms 1108 KB Output is correct
6 Correct 3 ms 852 KB Output is correct
7 Correct 4 ms 852 KB Output is correct
8 Correct 4 ms 724 KB Output is correct
9 Correct 3 ms 852 KB Output is correct
10 Correct 5 ms 1236 KB Output is correct
11 Correct 5 ms 1236 KB Output is correct
12 Correct 6 ms 1236 KB Output is correct
13 Correct 3 ms 948 KB Output is correct
14 Correct 4 ms 1060 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 425 ms 70964 KB Output is correct
18 Correct 391 ms 71156 KB Output is correct
19 Correct 614 ms 93624 KB Output is correct
20 Correct 700 ms 97852 KB Output is correct
21 Correct 646 ms 98208 KB Output is correct
22 Correct 716 ms 95228 KB Output is correct
23 Correct 598 ms 135396 KB Output is correct
24 Correct 329 ms 58140 KB Output is correct
25 Correct 322 ms 57996 KB Output is correct
26 Correct 611 ms 94992 KB Output is correct
27 Correct 377 ms 66612 KB Output is correct
28 Correct 363 ms 66760 KB Output is correct
29 Correct 410 ms 66716 KB Output is correct
30 Correct 336 ms 66212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 755 ms 117908 KB Output is correct
33 Correct 737 ms 117960 KB Output is correct
34 Correct 425 ms 66620 KB Output is correct
35 Correct 393 ms 69904 KB Output is correct
36 Correct 762 ms 116968 KB Output is correct
37 Correct 431 ms 66760 KB Output is correct
38 Correct 432 ms 66668 KB Output is correct
39 Correct 322 ms 65960 KB Output is correct
40 Correct 394 ms 62032 KB Output is correct
41 Correct 469 ms 78968 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 747 ms 85632 KB Output is correct
44 Correct 729 ms 91812 KB Output is correct
45 Correct 899 ms 97384 KB Output is correct
46 Correct 774 ms 93120 KB Output is correct
47 Correct 658 ms 78460 KB Output is correct
48 Correct 373 ms 58212 KB Output is correct
49 Correct 383 ms 66748 KB Output is correct
50 Correct 432 ms 45264 KB Output is correct
51 Correct 782 ms 97268 KB Output is correct
52 Correct 520 ms 75668 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 4 ms 852 KB Output is correct
57 Correct 6 ms 980 KB Output is correct
58 Correct 4 ms 852 KB Output is correct
59 Correct 4 ms 852 KB Output is correct
60 Correct 4 ms 724 KB Output is correct
61 Correct 5 ms 852 KB Output is correct
62 Correct 9 ms 1180 KB Output is correct
63 Correct 6 ms 1236 KB Output is correct
64 Correct 7 ms 1236 KB Output is correct
65 Correct 3 ms 852 KB Output is correct
66 Correct 4 ms 1108 KB Output is correct
67 Correct 441 ms 71080 KB Output is correct
68 Correct 398 ms 70980 KB Output is correct
69 Correct 670 ms 93592 KB Output is correct
70 Correct 690 ms 97668 KB Output is correct
71 Correct 696 ms 98096 KB Output is correct
72 Correct 638 ms 95160 KB Output is correct
73 Correct 623 ms 135336 KB Output is correct
74 Correct 342 ms 58144 KB Output is correct
75 Correct 327 ms 57936 KB Output is correct
76 Correct 618 ms 94972 KB Output is correct
77 Correct 377 ms 66620 KB Output is correct
78 Correct 373 ms 66884 KB Output is correct
79 Correct 416 ms 66604 KB Output is correct
80 Correct 340 ms 65892 KB Output is correct
81 Correct 724 ms 117892 KB Output is correct
82 Correct 750 ms 117824 KB Output is correct
83 Correct 399 ms 66552 KB Output is correct
84 Correct 371 ms 69912 KB Output is correct
85 Correct 730 ms 117056 KB Output is correct
86 Correct 422 ms 66792 KB Output is correct
87 Correct 401 ms 66540 KB Output is correct
88 Correct 398 ms 61888 KB Output is correct
89 Correct 467 ms 79136 KB Output is correct
90 Correct 676 ms 85588 KB Output is correct
91 Correct 681 ms 91808 KB Output is correct
92 Correct 704 ms 97384 KB Output is correct
93 Correct 699 ms 93284 KB Output is correct
94 Correct 606 ms 78364 KB Output is correct
95 Correct 367 ms 58036 KB Output is correct
96 Correct 329 ms 66612 KB Output is correct
97 Correct 329 ms 45448 KB Output is correct
98 Correct 654 ms 97592 KB Output is correct
99 Correct 466 ms 75788 KB Output is correct
100 Correct 166 ms 12932 KB Output is correct
101 Correct 745 ms 96928 KB Output is correct
102 Correct 569 ms 62764 KB Output is correct
103 Correct 585 ms 66948 KB Output is correct
104 Correct 713 ms 81844 KB Output is correct