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Submission #590314

# Submission time Handle Problem Language Result Execution time Memory
590314 2022-07-05T20:05:28 Z penguinhacker Stranded Far From Home (BOI22_island) C++17
100 / 100
 582 ms 68148 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

const int mxN=2e5;
int n, m, s[mxN], p[mxN];
vector<int> adj[mxN], rts, tree[mxN];
map<int, vector<int>> mp;
bool ans[mxN];
set<ar<int, 2>> bigger[mxN];
ll sum[mxN];

int find(int i) {
	return i^p[i]?p[i]=find(p[i]):i;
}

void mrg(int u, int v) {
	if ((u=find(u))==(v=find(v)))
		return;
	if (s[u]<s[v])
		swap(u, v);
	p[v]=u;
	sum[u]+=sum[v];
	if (bigger[u].size()<bigger[v].size())
		swap(bigger[u], bigger[v]);
	for (ar<int, 2> i : bigger[v])
		bigger[u].insert(i);
	set<ar<int, 2>>().swap(bigger[v]);
	while(bigger[u].size()&&(*bigger[u].begin())[0]<=s[u]) {
		assert((*bigger[u].begin())[0]==s[u]);
		bigger[u].erase(bigger[u].begin());
	}
}

void dfs(int u) {
	ans[u]=1;
	for (int v : tree[u])
		dfs(v);
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> m;
	for (int i=0; i<n; ++i) {
		cin >> s[i];
		mp[s[i]].push_back(i);
		p[i]=i, sum[i]=s[i];
	}
	for (int i=0; i<m; ++i) {
		int u, v;
		cin >> u >> v, --u, --v;
		adj[u].push_back(v);
		adj[v].push_back(u);
		if (s[v]>s[u])
			bigger[u].insert({s[v], v});
		if (s[u]>s[v])
			bigger[v].insert({s[u], u});
	}
	for (int x : mp.rbegin()->second)
		rts.push_back(x);
	for (auto it=mp.begin(); it!=mp.end(); ++it) {
		vector<int> nodes=it->second;
		for (int u : nodes)
			for (int v : adj[u])
				if (s[v]<=s[u])
					mrg(u, v);
		for (int u : nodes) {
			int v=find(u);
			if (bigger[v].size()&&sum[v]>=(*bigger[v].begin())[0])
				tree[(*bigger[v].begin())[1]].push_back(u);
		}
	}
	for (int i : rts)
		dfs(i);
	for (int i=0; i<n; ++i)
		cout << ans[i];
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19028 KB Output is correct
2 Correct 11 ms 19084 KB Output is correct
3 Correct 11 ms 19116 KB Output is correct
4 Correct 12 ms 19524 KB Output is correct
5 Correct 11 ms 19536 KB Output is correct
6 Correct 11 ms 19196 KB Output is correct
7 Correct 12 ms 19404 KB Output is correct
8 Correct 12 ms 19416 KB Output is correct
9 Correct 11 ms 19284 KB Output is correct
10 Correct 12 ms 19500 KB Output is correct
11 Correct 11 ms 19540 KB Output is correct
12 Correct 11 ms 19540 KB Output is correct
13 Correct 10 ms 19152 KB Output is correct
14 Correct 11 ms 19284 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 19028 KB Output is correct
2 Correct 12 ms 19028 KB Output is correct
3 Correct 319 ms 63192 KB Output is correct
4 Correct 131 ms 31624 KB Output is correct
5 Correct 359 ms 60492 KB Output is correct
6 Correct 354 ms 56984 KB Output is correct
7 Correct 362 ms 62628 KB Output is correct
8 Correct 179 ms 34268 KB Output is correct
9 Correct 302 ms 57536 KB Output is correct
10 Correct 210 ms 58576 KB Output is correct
11 Correct 132 ms 34488 KB Output is correct
12 Correct 187 ms 32920 KB Output is correct
13 Correct 128 ms 31300 KB Output is correct
14 Correct 129 ms 32404 KB Output is correct
15 Correct 394 ms 67148 KB Output is correct
16 Correct 189 ms 65860 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19044 KB Output is correct
2 Correct 562 ms 63348 KB Output is correct
3 Correct 495 ms 57840 KB Output is correct
4 Correct 133 ms 32960 KB Output is correct
5 Correct 139 ms 31492 KB Output is correct
6 Correct 521 ms 62328 KB Output is correct
7 Correct 319 ms 65788 KB Output is correct
8 Correct 343 ms 65764 KB Output is correct
9 Correct 187 ms 64712 KB Output is correct
10 Correct 296 ms 52904 KB Output is correct
11 Correct 256 ms 41216 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19080 KB Output is correct
2 Correct 388 ms 40460 KB Output is correct
3 Correct 357 ms 41688 KB Output is correct
4 Correct 356 ms 40128 KB Output is correct
5 Correct 171 ms 35396 KB Output is correct
6 Correct 216 ms 33392 KB Output is correct
7 Correct 139 ms 34512 KB Output is correct
8 Correct 123 ms 39896 KB Output is correct
9 Correct 292 ms 35176 KB Output is correct
10 Correct 168 ms 31440 KB Output is correct
11 Correct 291 ms 39032 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19028 KB Output is correct
2 Correct 11 ms 19084 KB Output is correct
3 Correct 11 ms 19116 KB Output is correct
4 Correct 12 ms 19524 KB Output is correct
5 Correct 11 ms 19536 KB Output is correct
6 Correct 11 ms 19196 KB Output is correct
7 Correct 12 ms 19404 KB Output is correct
8 Correct 12 ms 19416 KB Output is correct
9 Correct 11 ms 19284 KB Output is correct
10 Correct 12 ms 19500 KB Output is correct
11 Correct 11 ms 19540 KB Output is correct
12 Correct 11 ms 19540 KB Output is correct
13 Correct 10 ms 19152 KB Output is correct
14 Correct 11 ms 19284 KB Output is correct
15 Correct 12 ms 19028 KB Output is correct
16 Correct 12 ms 19028 KB Output is correct
17 Correct 319 ms 63192 KB Output is correct
18 Correct 131 ms 31624 KB Output is correct
19 Correct 359 ms 60492 KB Output is correct
20 Correct 354 ms 56984 KB Output is correct
21 Correct 362 ms 62628 KB Output is correct
22 Correct 179 ms 34268 KB Output is correct
23 Correct 302 ms 57536 KB Output is correct
24 Correct 210 ms 58576 KB Output is correct
25 Correct 132 ms 34488 KB Output is correct
26 Correct 187 ms 32920 KB Output is correct
27 Correct 128 ms 31300 KB Output is correct
28 Correct 129 ms 32404 KB Output is correct
29 Correct 394 ms 67148 KB Output is correct
30 Correct 189 ms 65860 KB Output is correct
31 Correct 10 ms 19044 KB Output is correct
32 Correct 562 ms 63348 KB Output is correct
33 Correct 495 ms 57840 KB Output is correct
34 Correct 133 ms 32960 KB Output is correct
35 Correct 139 ms 31492 KB Output is correct
36 Correct 521 ms 62328 KB Output is correct
37 Correct 319 ms 65788 KB Output is correct
38 Correct 343 ms 65764 KB Output is correct
39 Correct 187 ms 64712 KB Output is correct
40 Correct 296 ms 52904 KB Output is correct
41 Correct 256 ms 41216 KB Output is correct
42 Correct 10 ms 19080 KB Output is correct
43 Correct 388 ms 40460 KB Output is correct
44 Correct 357 ms 41688 KB Output is correct
45 Correct 356 ms 40128 KB Output is correct
46 Correct 171 ms 35396 KB Output is correct
47 Correct 216 ms 33392 KB Output is correct
48 Correct 139 ms 34512 KB Output is correct
49 Correct 123 ms 39896 KB Output is correct
50 Correct 292 ms 35176 KB Output is correct
51 Correct 168 ms 31440 KB Output is correct
52 Correct 291 ms 39032 KB Output is correct
53 Correct 10 ms 19028 KB Output is correct
54 Correct 11 ms 19028 KB Output is correct
55 Correct 10 ms 19028 KB Output is correct
56 Correct 12 ms 19540 KB Output is correct
57 Correct 12 ms 19500 KB Output is correct
58 Correct 10 ms 19156 KB Output is correct
59 Correct 14 ms 19400 KB Output is correct
60 Correct 12 ms 19404 KB Output is correct
61 Correct 13 ms 19284 KB Output is correct
62 Correct 12 ms 19452 KB Output is correct
63 Correct 14 ms 19512 KB Output is correct
64 Correct 12 ms 19496 KB Output is correct
65 Correct 12 ms 19156 KB Output is correct
66 Correct 12 ms 19268 KB Output is correct
67 Correct 305 ms 64304 KB Output is correct
68 Correct 134 ms 32172 KB Output is correct
69 Correct 352 ms 59892 KB Output is correct
70 Correct 350 ms 57100 KB Output is correct
71 Correct 360 ms 61584 KB Output is correct
72 Correct 193 ms 33780 KB Output is correct
73 Correct 283 ms 57348 KB Output is correct
74 Correct 219 ms 56832 KB Output is correct
75 Correct 129 ms 33080 KB Output is correct
76 Correct 158 ms 32372 KB Output is correct
77 Correct 122 ms 31212 KB Output is correct
78 Correct 141 ms 31240 KB Output is correct
79 Correct 325 ms 66080 KB Output is correct
80 Correct 194 ms 66800 KB Output is correct
81 Correct 493 ms 62308 KB Output is correct
82 Correct 446 ms 58056 KB Output is correct
83 Correct 152 ms 30916 KB Output is correct
84 Correct 128 ms 31964 KB Output is correct
85 Correct 469 ms 64716 KB Output is correct
86 Correct 370 ms 68148 KB Output is correct
87 Correct 328 ms 68136 KB Output is correct
88 Correct 286 ms 52556 KB Output is correct
89 Correct 240 ms 38876 KB Output is correct
90 Correct 386 ms 41056 KB Output is correct
91 Correct 347 ms 42964 KB Output is correct
92 Correct 372 ms 43212 KB Output is correct
93 Correct 164 ms 34436 KB Output is correct
94 Correct 183 ms 33604 KB Output is correct
95 Correct 133 ms 36208 KB Output is correct
96 Correct 125 ms 39512 KB Output is correct
97 Correct 262 ms 35692 KB Output is correct
98 Correct 197 ms 33096 KB Output is correct
99 Correct 249 ms 40616 KB Output is correct
100 Correct 178 ms 33024 KB Output is correct
101 Correct 537 ms 60024 KB Output is correct
102 Correct 153 ms 30560 KB Output is correct
103 Correct 582 ms 51760 KB Output is correct
104 Correct 582 ms 60212 KB Output is correct