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Submission #967633

# Submission time Handle Problem Language Result Execution time Memory
967633 2024-04-22T14:31:00 Z dong_gas Stranded Far From Home (BOI22_island) C++17
100 / 100
 122 ms 43296 KB 
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/extc++.h>
#define all(v) v.begin(), v.end()
#define zip(v) sort(all(v)), v.erase(unique(all(v)), v.end())
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pint;
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
 
ll n, m, a[200020];
vector<ll> adj[200020], can[200020];
bool visited[200020];
vector<tuple<ll,ll,ll>> edges;
 
struct disjoin_set{
	ll papa[200020], sum[200020], sz[200020];
	void init() {
		memset(papa,-1,sizeof(papa));
		for(ll i=1;i<=n;i++) sum[i]=a[i], sz[i]=1, papa[i]=-1, can[i].emplace_back(i);
	}
	ll Find(ll u) {
		if(papa[u]==-1) return u;
		return papa[u]=Find(papa[u]);
	}
	bool Union(ll u,ll v) {
		u=Find(u), v=Find(v);
		if(u==v) return false;
		if(sz[u]<sz[v]) swap(u,v);
		papa[v]=u;
		sz[u]+=sz[v];
		sum[u]+=sum[v];
		for(auto x: can[v]) can[u].emplace_back(x);
		return true;
	}
} djs;

 
void solve() {
    cin>>n>>m;
	for(ll i=1;i<=n;i++) cin>>a[i];
	while(m --> 0) {
		ll u, v; cin>>u>>v;
		if(a[u]<a[v]) swap(u,v);
		edges.push_back({a[u],u,v});
	}
	sort(all(edges));
	djs.init();
	for(auto [_, u, v]: edges) {
		if(djs.sum[djs.Find(v)]<a[u]) can[djs.Find(v)].clear();
		djs.Union(u,v);
	}
	for(ll x: can[djs.Find(1)]) visited[x]=1;
	for(ll i=1;i<=n;i++) cout<<visited[i];	
}
 
int main() {
    cin.tie(0)->sync_with_stdio(0);
    int tc=1; //cin>>tc;
    while(tc--) solve();
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 4 ms 14768 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 5 ms 14940 KB Output is correct
5 Correct 5 ms 15196 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14936 KB Output is correct
8 Correct 4 ms 14936 KB Output is correct
9 Correct 4 ms 15192 KB Output is correct
10 Correct 4 ms 15196 KB Output is correct
11 Correct 4 ms 15196 KB Output is correct
12 Correct 4 ms 15220 KB Output is correct
13 Correct 5 ms 14936 KB Output is correct
14 Correct 5 ms 15192 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 14936 KB Output is correct
2 Correct 4 ms 14940 KB Output is correct
3 Correct 87 ms 30468 KB Output is correct
4 Correct 75 ms 31132 KB Output is correct
5 Correct 92 ms 34832 KB Output is correct
6 Correct 95 ms 38340 KB Output is correct
7 Correct 93 ms 38540 KB Output is correct
8 Correct 89 ms 35252 KB Output is correct
9 Correct 89 ms 42940 KB Output is correct
10 Correct 75 ms 31372 KB Output is correct
11 Correct 76 ms 34488 KB Output is correct
12 Correct 95 ms 33940 KB Output is correct
13 Correct 75 ms 35004 KB Output is correct
14 Correct 75 ms 33976 KB Output is correct
15 Correct 79 ms 36020 KB Output is correct
16 Correct 60 ms 35768 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 103 ms 36444 KB Output is correct
3 Correct 111 ms 40372 KB Output is correct
4 Correct 82 ms 36528 KB Output is correct
5 Correct 81 ms 34228 KB Output is correct
6 Correct 102 ms 41400 KB Output is correct
7 Correct 83 ms 36104 KB Output is correct
8 Correct 81 ms 35520 KB Output is correct
9 Correct 60 ms 35692 KB Output is correct
10 Correct 82 ms 33208 KB Output is correct
11 Correct 91 ms 35104 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 102 ms 31144 KB Output is correct
3 Correct 101 ms 36536 KB Output is correct
4 Correct 107 ms 39344 KB Output is correct
5 Correct 113 ms 41168 KB Output is correct
6 Correct 103 ms 38996 KB Output is correct
7 Correct 82 ms 35732 KB Output is correct
8 Correct 69 ms 32436 KB Output is correct
9 Correct 72 ms 28600 KB Output is correct
10 Correct 109 ms 42416 KB Output is correct
11 Correct 85 ms 33464 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 4 ms 14768 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 5 ms 14940 KB Output is correct
5 Correct 5 ms 15196 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 4 ms 14936 KB Output is correct
8 Correct 4 ms 14936 KB Output is correct
9 Correct 4 ms 15192 KB Output is correct
10 Correct 4 ms 15196 KB Output is correct
11 Correct 4 ms 15196 KB Output is correct
12 Correct 4 ms 15220 KB Output is correct
13 Correct 5 ms 14936 KB Output is correct
14 Correct 5 ms 15192 KB Output is correct
15 Correct 4 ms 14936 KB Output is correct
16 Correct 4 ms 14940 KB Output is correct
17 Correct 87 ms 30468 KB Output is correct
18 Correct 75 ms 31132 KB Output is correct
19 Correct 92 ms 34832 KB Output is correct
20 Correct 95 ms 38340 KB Output is correct
21 Correct 93 ms 38540 KB Output is correct
22 Correct 89 ms 35252 KB Output is correct
23 Correct 89 ms 42940 KB Output is correct
24 Correct 75 ms 31372 KB Output is correct
25 Correct 76 ms 34488 KB Output is correct
26 Correct 95 ms 33940 KB Output is correct
27 Correct 75 ms 35004 KB Output is correct
28 Correct 75 ms 33976 KB Output is correct
29 Correct 79 ms 36020 KB Output is correct
30 Correct 60 ms 35768 KB Output is correct
31 Correct 3 ms 14940 KB Output is correct
32 Correct 103 ms 36444 KB Output is correct
33 Correct 111 ms 40372 KB Output is correct
34 Correct 82 ms 36528 KB Output is correct
35 Correct 81 ms 34228 KB Output is correct
36 Correct 102 ms 41400 KB Output is correct
37 Correct 83 ms 36104 KB Output is correct
38 Correct 81 ms 35520 KB Output is correct
39 Correct 60 ms 35692 KB Output is correct
40 Correct 82 ms 33208 KB Output is correct
41 Correct 91 ms 35104 KB Output is correct
42 Correct 3 ms 14940 KB Output is correct
43 Correct 102 ms 31144 KB Output is correct
44 Correct 101 ms 36536 KB Output is correct
45 Correct 107 ms 39344 KB Output is correct
46 Correct 113 ms 41168 KB Output is correct
47 Correct 103 ms 38996 KB Output is correct
48 Correct 82 ms 35732 KB Output is correct
49 Correct 69 ms 32436 KB Output is correct
50 Correct 72 ms 28600 KB Output is correct
51 Correct 109 ms 42416 KB Output is correct
52 Correct 85 ms 33464 KB Output is correct
53 Correct 4 ms 14936 KB Output is correct
54 Correct 3 ms 14940 KB Output is correct
55 Correct 4 ms 14936 KB Output is correct
56 Correct 4 ms 15128 KB Output is correct
57 Correct 5 ms 15192 KB Output is correct
58 Correct 4 ms 14940 KB Output is correct
59 Correct 4 ms 14940 KB Output is correct
60 Correct 4 ms 14940 KB Output is correct
61 Correct 4 ms 15032 KB Output is correct
62 Correct 5 ms 15196 KB Output is correct
63 Correct 4 ms 15196 KB Output is correct
64 Correct 4 ms 15196 KB Output is correct
65 Correct 4 ms 15164 KB Output is correct
66 Correct 4 ms 14940 KB Output is correct
67 Correct 89 ms 35472 KB Output is correct
68 Correct 76 ms 34480 KB Output is correct
69 Correct 89 ms 39088 KB Output is correct
70 Correct 99 ms 39348 KB Output is correct
71 Correct 107 ms 39208 KB Output is correct
72 Correct 95 ms 36272 KB Output is correct
73 Correct 91 ms 43296 KB Output is correct
74 Correct 74 ms 30944 KB Output is correct
75 Correct 80 ms 35612 KB Output is correct
76 Correct 90 ms 34228 KB Output is correct
77 Correct 75 ms 34480 KB Output is correct
78 Correct 83 ms 35204 KB Output is correct
79 Correct 81 ms 36052 KB Output is correct
80 Correct 63 ms 35776 KB Output is correct
81 Correct 117 ms 41140 KB Output is correct
82 Correct 107 ms 40368 KB Output is correct
83 Correct 83 ms 37300 KB Output is correct
84 Correct 76 ms 34064 KB Output is correct
85 Correct 115 ms 40504 KB Output is correct
86 Correct 81 ms 36728 KB Output is correct
87 Correct 79 ms 35392 KB Output is correct
88 Correct 88 ms 34236 KB Output is correct
89 Correct 87 ms 34480 KB Output is correct
90 Correct 105 ms 36672 KB Output is correct
91 Correct 105 ms 36684 KB Output is correct
92 Correct 109 ms 38836 KB Output is correct
93 Correct 122 ms 41396 KB Output is correct
94 Correct 115 ms 38820 KB Output is correct
95 Correct 83 ms 35220 KB Output is correct
96 Correct 70 ms 33720 KB Output is correct
97 Correct 75 ms 28084 KB Output is correct
98 Correct 105 ms 41196 KB Output is correct
99 Correct 94 ms 33812 KB Output is correct
100 Correct 50 ms 21688 KB Output is correct
101 Correct 122 ms 37912 KB Output is correct
102 Correct 91 ms 33972 KB Output is correct
103 Correct 88 ms 32944 KB Output is correct
104 Correct 111 ms 34744 KB Output is correct