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Submission #723487

# Submission time Handle Problem Language Result Execution time Memory
723487 2023-04-13T23:26:45 Z Charizard2021 Stranded Far From Home (BOI22_island) C++17
100 / 100
 468 ms 49740 KB 
#include <bits/stdc++.h>
using namespace std;
struct DSU {
	vector<long long> e;
	DSU(long long N) { e = vector<long long>(N, -1); }
	long long get(long long x) { return e[x] < 0 ? x : e[x] = get(e[x]); }

	bool same_set(long long a, long long b) { return get(a) == get(b); }

	long long size(long long x) { return -e[get(x)]; }

	bool unite(long long x, long long y, vector<long long> &strength) {  // union by size
		x = get(x), y = get(y);
		if (x == y) return false;
		if (e[x] > e[y]) swap(x, y);
		e[x] += e[y]; e[y] = x;
        strength[x] += strength[y];
		return true;
	}
};
void dfs(long long u, long long works, vector<long long> &winnable, vector<vector<long long> > &val){
	winnable[u] &= works;
	for(long long v : val[u]){
        dfs(v, winnable[u], winnable, val);
    }
}
int main(){
    long long n, m;
    cin >> n >> m;
    long long arr[n];
    for(long long i = 0; i < n; i++){
        cin >> arr[i];
    }
    vector<long long> adj[n];
    for(long long i = 0; i < m; i++){
        long long a, b;
        cin >> a >> b;
        a--;
        b--;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    DSU dsu(n);
	vector<long long> winnable(n, 1);
    vector<bool> visited(n, false);
    vector<long long> inserted(n);
    vector<long long> comp(n);
	vector<long long> strength(n);
	vector<vector<long long> > mark(n);
	vector<pair<long long, long long> > order(n);
	for(long long i = 0; i < n; i++){
		strength[i] = arr[i];
		order[i] = make_pair(arr[i], i);
	}
	sort(order.begin(), order.end());
	for(auto t : order){
		long long u = t.second;
		for(long long v : adj[u]){
            if(inserted[v]){
                long long w = comp[dsu.get(v)];
                if(strength[dsu.get(v)] < arr[u]){
                    winnable[w] = 0;
                }
                if(!visited[w]){
                    mark[u].push_back(w);
                    visited[w] = true;
                }
            }
		}
		for(long long v : adj[u]){
            if(inserted[v]){
                visited[comp[dsu.get(v)]] = false;
            }
        }
		for(long long v : adj[u]){
            if(inserted[v]){
                dsu.unite(u, v, strength);
            }
        }
		comp[dsu.get(u)] = u;
		inserted[u] = 1;
	}
	dfs(order[n - 1].second, 1, winnable, mark);
	for(long long i = 0; i < n; i++){
        cout << winnable[i];
    }
	cout << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 3 ms 596 KB Output is correct
7 Correct 3 ms 564 KB Output is correct
8 Correct 3 ms 468 KB Output is correct
9 Correct 2 ms 724 KB Output is correct
10 Correct 3 ms 596 KB Output is correct
11 Correct 3 ms 596 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 2 ms 696 KB Output is correct
14 Correct 2 ms 596 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 1 ms 340 KB Output is correct
3 Correct 285 ms 42172 KB Output is correct
4 Correct 248 ms 47240 KB Output is correct
5 Correct 340 ms 36940 KB Output is correct
6 Correct 379 ms 38160 KB Output is correct
7 Correct 332 ms 38220 KB Output is correct
8 Correct 305 ms 49644 KB Output is correct
9 Correct 288 ms 37792 KB Output is correct
10 Correct 231 ms 36664 KB Output is correct
11 Correct 260 ms 49232 KB Output is correct
12 Correct 283 ms 39340 KB Output is correct
13 Correct 224 ms 47268 KB Output is correct
14 Correct 249 ms 46440 KB Output is correct
15 Correct 279 ms 48800 KB Output is correct
16 Correct 240 ms 47620 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 329 ms 32652 KB Output is correct
3 Correct 338 ms 37312 KB Output is correct
4 Correct 332 ms 48816 KB Output is correct
5 Correct 266 ms 44224 KB Output is correct
6 Correct 352 ms 37292 KB Output is correct
7 Correct 300 ms 48812 KB Output is correct
8 Correct 326 ms 48816 KB Output is correct
9 Correct 218 ms 47500 KB Output is correct
10 Correct 256 ms 40280 KB Output is correct
11 Correct 256 ms 37544 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 371 ms 34252 KB Output is correct
3 Correct 346 ms 38220 KB Output is correct
4 Correct 420 ms 38360 KB Output is correct
5 Correct 329 ms 38264 KB Output is correct
6 Correct 317 ms 37772 KB Output is correct
7 Correct 266 ms 43916 KB Output is correct
8 Correct 216 ms 49132 KB Output is correct
9 Correct 222 ms 22540 KB Output is correct
10 Correct 307 ms 36764 KB Output is correct
11 Correct 270 ms 37620 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 3 ms 596 KB Output is correct
6 Correct 3 ms 596 KB Output is correct
7 Correct 3 ms 564 KB Output is correct
8 Correct 3 ms 468 KB Output is correct
9 Correct 2 ms 724 KB Output is correct
10 Correct 3 ms 596 KB Output is correct
11 Correct 3 ms 596 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 2 ms 696 KB Output is correct
14 Correct 2 ms 596 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 285 ms 42172 KB Output is correct
18 Correct 248 ms 47240 KB Output is correct
19 Correct 340 ms 36940 KB Output is correct
20 Correct 379 ms 38160 KB Output is correct
21 Correct 332 ms 38220 KB Output is correct
22 Correct 305 ms 49644 KB Output is correct
23 Correct 288 ms 37792 KB Output is correct
24 Correct 231 ms 36664 KB Output is correct
25 Correct 260 ms 49232 KB Output is correct
26 Correct 283 ms 39340 KB Output is correct
27 Correct 224 ms 47268 KB Output is correct
28 Correct 249 ms 46440 KB Output is correct
29 Correct 279 ms 48800 KB Output is correct
30 Correct 240 ms 47620 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 329 ms 32652 KB Output is correct
33 Correct 338 ms 37312 KB Output is correct
34 Correct 332 ms 48816 KB Output is correct
35 Correct 266 ms 44224 KB Output is correct
36 Correct 352 ms 37292 KB Output is correct
37 Correct 300 ms 48812 KB Output is correct
38 Correct 326 ms 48816 KB Output is correct
39 Correct 218 ms 47500 KB Output is correct
40 Correct 256 ms 40280 KB Output is correct
41 Correct 256 ms 37544 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 371 ms 34252 KB Output is correct
44 Correct 346 ms 38220 KB Output is correct
45 Correct 420 ms 38360 KB Output is correct
46 Correct 329 ms 38264 KB Output is correct
47 Correct 317 ms 37772 KB Output is correct
48 Correct 266 ms 43916 KB Output is correct
49 Correct 216 ms 49132 KB Output is correct
50 Correct 222 ms 22540 KB Output is correct
51 Correct 307 ms 36764 KB Output is correct
52 Correct 270 ms 37620 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 3 ms 596 KB Output is correct
57 Correct 3 ms 664 KB Output is correct
58 Correct 3 ms 596 KB Output is correct
59 Correct 3 ms 596 KB Output is correct
60 Correct 3 ms 456 KB Output is correct
61 Correct 3 ms 724 KB Output is correct
62 Correct 3 ms 596 KB Output is correct
63 Correct 3 ms 596 KB Output is correct
64 Correct 3 ms 568 KB Output is correct
65 Correct 2 ms 724 KB Output is correct
66 Correct 3 ms 548 KB Output is correct
67 Correct 300 ms 42160 KB Output is correct
68 Correct 257 ms 47308 KB Output is correct
69 Correct 333 ms 36968 KB Output is correct
70 Correct 351 ms 38060 KB Output is correct
71 Correct 376 ms 38220 KB Output is correct
72 Correct 334 ms 49740 KB Output is correct
73 Correct 297 ms 37788 KB Output is correct
74 Correct 252 ms 36720 KB Output is correct
75 Correct 243 ms 49292 KB Output is correct
76 Correct 288 ms 39340 KB Output is correct
77 Correct 256 ms 47172 KB Output is correct
78 Correct 250 ms 46424 KB Output is correct
79 Correct 294 ms 48688 KB Output is correct
80 Correct 226 ms 47584 KB Output is correct
81 Correct 353 ms 37056 KB Output is correct
82 Correct 374 ms 37236 KB Output is correct
83 Correct 314 ms 48816 KB Output is correct
84 Correct 263 ms 44228 KB Output is correct
85 Correct 373 ms 37280 KB Output is correct
86 Correct 320 ms 48872 KB Output is correct
87 Correct 319 ms 48720 KB Output is correct
88 Correct 263 ms 40228 KB Output is correct
89 Correct 277 ms 37596 KB Output is correct
90 Correct 385 ms 38784 KB Output is correct
91 Correct 361 ms 38176 KB Output is correct
92 Correct 364 ms 38268 KB Output is correct
93 Correct 387 ms 38344 KB Output is correct
94 Correct 326 ms 37804 KB Output is correct
95 Correct 259 ms 43952 KB Output is correct
96 Correct 214 ms 49108 KB Output is correct
97 Correct 234 ms 22556 KB Output is correct
98 Correct 341 ms 36864 KB Output is correct
99 Correct 283 ms 37552 KB Output is correct
100 Correct 110 ms 7244 KB Output is correct
101 Correct 468 ms 38444 KB Output is correct
102 Correct 328 ms 34068 KB Output is correct
103 Correct 330 ms 35604 KB Output is correct
104 Correct 385 ms 38572 KB Output is correct