oj.uz

Submission #917760

# Submission time Handle Problem Language Result Execution time Memory
917760 2024-01-28T17:53:53 Z themm1 Stranded Far From Home (BOI22_island) C++17
100 / 100
 286 ms 54200 KB 
#include <bits/stdc++.h>
using namespace std;
// ordered set whith s.order_of_key(x) method, which returns rank of element x in set s
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
*/

// pair printing
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "(" << par.first << "; " << par.second << ")"; return out;}
// set printing
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for(const auto &x:cont) out << x << ", "; out << "}"; return out; }
// map printing
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for(const auto &x:cont) out << x << ", "; out << "}"; return out; }
// unordered_set printing
template <class T>
ostream& operator<<(ostream& out, const unordered_set<T> &cont) {out << "{";for(const auto &x:cont) out << x << ", ";out << "}";return out;}
// unordered_map printing
template <class T, class U>
ostream& operator<<(ostream& out, const unordered_map<T, U> &cont) {out << "{";for(const auto &x:cont) out << x << ", ";out << "}";return out;}
// vector printing
template<class T>
ostream& operator<<(ostream& out, const vector<T> &cont){ out << "[";  for (const auto &x:cont) out << x << ", ";  out << "]"; return out;}

#define print(x) cout << (x) << endl;
#define dmp(x) cerr << #x << " = " << x << endl
#define dmpn(x) cerr << #x << " = " << x << "; "
#define dmpl(x) cerr << "Line " << __LINE__ << ": " << #x << " = " << x << endl

#define int long long
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define pb push_back
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define sz(x) (int)x.size()
#define contains(s,x) ((s).find(x) != (s).end())
const int MOD = 998244353;

int N, M;
vector<vector<int>> g;
vector<int> values;

struct UnionFind {
        vector<int> heights, parents, sums;
        vector<vector<int>> possibles;

        UnionFind() {
                heights.assign(N, 1);
                parents.assign(N, -2);
                for (int i = 0; i < N; i++) {
                        sums.pb(values[i]);
                        possibles.pb({ i });
                }
        }

        int find_(int v) {
                if (parents[v] == -1) return v;
                if (parents[v] == -2) return -1;
                return find_(parents[v]);
        }

        void union_(int u, int v, int merge_possibles) {
                int ru = find_(u), rv = find_(v);
                // adding rv to ru - root is ru
                if (heights[ru] > heights[rv]) {
                        parents[rv] = ru;
                        sums[ru] += sums[rv];
                        if (merge_possibles) {
                                if (sz(possibles[rv]) > sz(possibles[ru])) swap(possibles[ru], possibles[rv]);
                                for (int x : possibles[rv]) possibles[ru].pb(x);
                        // possibles for components should be always in root, which is ru, but our possibles are in rv
                        } else {
                                swap(possibles[ru], possibles[rv]);
                        }
                // adding ru to rv - root is rv
                } else {
                        parents[ru] = rv;
                        sums[rv] += sums[ru];
                        if (merge_possibles) {
                                if (sz(possibles[ru]) > sz(possibles[rv])) swap(possibles[ru], possibles[rv]);
                                for (int x : possibles[ru]) possibles[rv].pb(x);
                        }
                }
                if (heights[ru] == heights[rv]) heights[rv]++;
        }
};

void solve() {
        cin >> N >> M;
        g.assign(N, {});
        values.assign(N, 0);
        vector<pii> sorted_vertices;
        for (int i = 0; i < N; i++) {
                cin >> values[i];
                sorted_vertices.pb({ values[i], i });
        }
        sort(all(sorted_vertices));
        for (int i = 0; i < M; i++) {
                int u, v;
                cin >> u >> v;
                u--;
                v--;
                g[u].pb(v);
                g[v].pb(u);
        }

        UnionFind uf;
        for (pii pr : sorted_vertices) {
                int v = pr.ss;
                uf.parents[v] = -1;
                set<int> components;
                for (int u : g[v]) {
                        int ru = uf.find_(u);
                        if (ru != -1) components.insert(ru);
                }

                // dmpn(v); dmp(components);
                for (int comp : components) {
                        bool merge_possibles = (uf.sums[comp] >= values[v]);
                        // dmpn(comp); dmpn(uf.sums[comp]); dmp(values[v]);
                        uf.union_(comp, v, merge_possibles);
                        // dmp(uf.possibles[root]);
                }
        }

        int root = uf.find_(0);
        set<int> final_possibles(all(uf.possibles[root]));
        for (int i = 0; i < N; i++) {
                if (contains(final_possibles, i)) cout << 1;
                else cout << 0;
        }
        cout << endl;
}

int32_t main() {
        ios::sync_with_stdio(false);
        cin.tie(0);
        cout.tie(0);

        int t = 1;
        // cin >> t;
        while (t--) {
                solve();
        }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 352 KB Output is correct
3 Correct 177 ms 41924 KB Output is correct
4 Correct 139 ms 40608 KB Output is correct
5 Correct 236 ms 46980 KB Output is correct
6 Correct 218 ms 46920 KB Output is correct
7 Correct 188 ms 48700 KB Output is correct
8 Correct 199 ms 49580 KB Output is correct
9 Correct 181 ms 49048 KB Output is correct
10 Correct 206 ms 48780 KB Output is correct
11 Correct 174 ms 47868 KB Output is correct
12 Correct 166 ms 40952 KB Output is correct
13 Correct 121 ms 40628 KB Output is correct
14 Correct 170 ms 40584 KB Output is correct
15 Correct 190 ms 49604 KB Output is correct
16 Correct 153 ms 46012 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 212 ms 44900 KB Output is correct
3 Correct 265 ms 47960 KB Output is correct
4 Correct 170 ms 48064 KB Output is correct
5 Correct 113 ms 39436 KB Output is correct
6 Correct 244 ms 47628 KB Output is correct
7 Correct 182 ms 48876 KB Output is correct
8 Correct 187 ms 48948 KB Output is correct
9 Correct 140 ms 47860 KB Output is correct
10 Correct 145 ms 41920 KB Output is correct
11 Correct 169 ms 38104 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 244 ms 42004 KB Output is correct
3 Correct 237 ms 47680 KB Output is correct
4 Correct 284 ms 50928 KB Output is correct
5 Correct 254 ms 54200 KB Output is correct
6 Correct 286 ms 51160 KB Output is correct
7 Correct 178 ms 48928 KB Output is correct
8 Correct 114 ms 43596 KB Output is correct
9 Correct 107 ms 23308 KB Output is correct
10 Correct 181 ms 47040 KB Output is correct
11 Correct 153 ms 39292 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 352 KB Output is correct
17 Correct 177 ms 41924 KB Output is correct
18 Correct 139 ms 40608 KB Output is correct
19 Correct 236 ms 46980 KB Output is correct
20 Correct 218 ms 46920 KB Output is correct
21 Correct 188 ms 48700 KB Output is correct
22 Correct 199 ms 49580 KB Output is correct
23 Correct 181 ms 49048 KB Output is correct
24 Correct 206 ms 48780 KB Output is correct
25 Correct 174 ms 47868 KB Output is correct
26 Correct 166 ms 40952 KB Output is correct
27 Correct 121 ms 40628 KB Output is correct
28 Correct 170 ms 40584 KB Output is correct
29 Correct 190 ms 49604 KB Output is correct
30 Correct 153 ms 46012 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 212 ms 44900 KB Output is correct
33 Correct 265 ms 47960 KB Output is correct
34 Correct 170 ms 48064 KB Output is correct
35 Correct 113 ms 39436 KB Output is correct
36 Correct 244 ms 47628 KB Output is correct
37 Correct 182 ms 48876 KB Output is correct
38 Correct 187 ms 48948 KB Output is correct
39 Correct 140 ms 47860 KB Output is correct
40 Correct 145 ms 41920 KB Output is correct
41 Correct 169 ms 38104 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 244 ms 42004 KB Output is correct
44 Correct 237 ms 47680 KB Output is correct
45 Correct 284 ms 50928 KB Output is correct
46 Correct 254 ms 54200 KB Output is correct
47 Correct 286 ms 51160 KB Output is correct
48 Correct 178 ms 48928 KB Output is correct
49 Correct 114 ms 43596 KB Output is correct
50 Correct 107 ms 23308 KB Output is correct
51 Correct 181 ms 47040 KB Output is correct
52 Correct 153 ms 39292 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 2 ms 604 KB Output is correct
57 Correct 2 ms 860 KB Output is correct
58 Correct 2 ms 860 KB Output is correct
59 Correct 2 ms 604 KB Output is correct
60 Correct 2 ms 604 KB Output is correct
61 Correct 1 ms 620 KB Output is correct
62 Correct 2 ms 860 KB Output is correct
63 Correct 2 ms 860 KB Output is correct
64 Correct 2 ms 860 KB Output is correct
65 Correct 1 ms 604 KB Output is correct
66 Correct 1 ms 680 KB Output is correct
67 Correct 165 ms 46948 KB Output is correct
68 Correct 148 ms 39348 KB Output is correct
69 Correct 182 ms 46088 KB Output is correct
70 Correct 190 ms 49092 KB Output is correct
71 Correct 194 ms 47660 KB Output is correct
72 Correct 173 ms 48060 KB Output is correct
73 Correct 161 ms 50368 KB Output is correct
74 Correct 197 ms 48468 KB Output is correct
75 Correct 159 ms 47804 KB Output is correct
76 Correct 160 ms 39356 KB Output is correct
77 Correct 122 ms 38792 KB Output is correct
78 Correct 138 ms 39360 KB Output is correct
79 Correct 191 ms 49496 KB Output is correct
80 Correct 142 ms 46520 KB Output is correct
81 Correct 222 ms 47776 KB Output is correct
82 Correct 219 ms 47804 KB Output is correct
83 Correct 171 ms 47808 KB Output is correct
84 Correct 132 ms 39332 KB Output is correct
85 Correct 227 ms 47804 KB Output is correct
86 Correct 193 ms 47800 KB Output is correct
87 Correct 188 ms 47292 KB Output is correct
88 Correct 137 ms 42568 KB Output is correct
89 Correct 190 ms 37956 KB Output is correct
90 Correct 246 ms 45696 KB Output is correct
91 Correct 245 ms 47808 KB Output is correct
92 Correct 262 ms 50456 KB Output is correct
93 Correct 260 ms 53948 KB Output is correct
94 Correct 230 ms 50092 KB Output is correct
95 Correct 169 ms 49528 KB Output is correct
96 Correct 106 ms 42944 KB Output is correct
97 Correct 101 ms 23496 KB Output is correct
98 Correct 208 ms 48816 KB Output is correct
99 Correct 154 ms 39852 KB Output is correct
100 Correct 33 ms 7244 KB Output is correct
101 Correct 245 ms 46456 KB Output is correct
102 Correct 243 ms 41664 KB Output is correct
103 Correct 206 ms 40284 KB Output is correct
104 Correct 270 ms 45200 KB Output is correct