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Submission #587363

# Submission time Handle Problem Language Result Execution time Memory
587363 2022-07-01T17:25:58 Z blue Stranded Far From Home (BOI22_island) C++17
100 / 100
 369 ms 44248 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <stack>
#include <queue>
#include <set>
#include <map>
using namespace std;

using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
using ll = long long;
using vpii = vector<pii>;
using pll = pair<ll, ll>;
using vpll = vector<pll>;
using vll = vector<ll>;
using vvll = vector<vll>;
using namespace std;

const int mx = 200'000;

int N, M;
vll s(1+mx);
vi sn(1+mx);
vi edge[1+mx];

vi children[1+mx];

struct dsu
{
	vi parent = vi(1+mx);
	vi subtree = vi(1+mx);
	vi peak = vi(1+mx);

	dsu()
	{
		for(int i = 1; i <= N; i++)
		{
			parent[i] = peak[i] = i;
			subtree[i] = 1;
		}
	}

	int root(int u)
	{
		if(parent[u] == u)
			return u;
		else
			return (parent[u] = root(parent[u]));
	}

	bool join(int u, int v)
	{
		u = root(u);
		v = root(v);

		if(u == v) return 0;

		if(subtree[u] < subtree[v])
			swap(u, v);

		subtree[u] += subtree[v];
		parent[v] = u;
		peak[u] = sn[peak[u]] < sn[peak[v]] ? peak[v] : peak[u];
		return 1;
	}
};

string res;

int rt;
vll ssum;


void dfs(int u)
{
	res[u-1] = '1';
	for(int v : children[u])
	{
		if(ssum[v] >= s[u])
			dfs(v);
	}
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	cin >> N >> M;
	for(int i = 1; i <= N; i++)
		cin >> s[i];

	for(int e = 1; e <= M; e++)
	{
		int a, b;
		cin >> a >> b;
		edge[a].push_back(b);
		edge[b].push_back(a);
	}

	vi ord;
	for(int i = 1; i <= N; i++)
		ord.push_back(i);

	sort(ord.begin(), ord.end(), [] (int u, int v)
	{
		return s[u] < s[v];
	});

	for(int i = 0; i < N; i++)
		sn[ord[i]] = i;

	vi parent(1+N);

	ssum = s;


	dsu DSU;

	for(int u : ord)
	{
		for(int v : edge[u])
		{
			if(sn[v] > sn[u]) continue;

			if(DSU.root(u) == DSU.root(v)) continue;

			int vp = DSU.peak[DSU.root(v)];

			ssum[u] += ssum[vp];

			parent[vp] = u;
			children[u].push_back(vp);

			DSU.join(u, vp);
		}
	}

	// for(int u : ord)
	// 	cerr << u << ' ';
	// cerr << '\n';

	// for(int u = 1; u <= N; u++)
	// {
	// 	cerr << "\n\n\n";
	// 	cerr << "u = " << u << " : " << ssum[u] << '\n';
	// 	for(int v : children[u])
	// 		cerr << u << " -> " << v << '\n';
	// }

	res = string(N, '0');

	rt = ord.back();
	dfs(rt);

	cout << res << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15956 KB Output is correct
2 Correct 10 ms 15956 KB Output is correct
3 Correct 13 ms 15956 KB Output is correct
4 Correct 13 ms 16084 KB Output is correct
5 Correct 12 ms 16084 KB Output is correct
6 Correct 12 ms 16124 KB Output is correct
7 Correct 11 ms 16084 KB Output is correct
8 Correct 8 ms 16084 KB Output is correct
9 Correct 9 ms 16048 KB Output is correct
10 Correct 10 ms 16084 KB Output is correct
11 Correct 9 ms 16212 KB Output is correct
12 Correct 11 ms 16080 KB Output is correct
13 Correct 11 ms 16056 KB Output is correct
14 Correct 10 ms 16084 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 15956 KB Output is correct
2 Correct 9 ms 15956 KB Output is correct
3 Correct 174 ms 33752 KB Output is correct
4 Correct 230 ms 31116 KB Output is correct
5 Correct 207 ms 28116 KB Output is correct
6 Correct 258 ms 29476 KB Output is correct
7 Correct 264 ms 28508 KB Output is correct
8 Correct 248 ms 31888 KB Output is correct
9 Correct 199 ms 29620 KB Output is correct
10 Correct 193 ms 26864 KB Output is correct
11 Correct 146 ms 26320 KB Output is correct
12 Correct 252 ms 29136 KB Output is correct
13 Correct 190 ms 31284 KB Output is correct
14 Correct 206 ms 31816 KB Output is correct
15 Correct 217 ms 40736 KB Output is correct
16 Correct 110 ms 40860 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 15956 KB Output is correct
2 Correct 265 ms 31612 KB Output is correct
3 Correct 266 ms 30740 KB Output is correct
4 Correct 210 ms 31948 KB Output is correct
5 Correct 223 ms 31304 KB Output is correct
6 Correct 269 ms 29992 KB Output is correct
7 Correct 237 ms 41480 KB Output is correct
8 Correct 252 ms 41464 KB Output is correct
9 Correct 153 ms 40632 KB Output is correct
10 Correct 224 ms 28716 KB Output is correct
11 Correct 233 ms 30904 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15956 KB Output is correct
2 Correct 369 ms 30536 KB Output is correct
3 Correct 291 ms 31240 KB Output is correct
4 Correct 335 ms 28964 KB Output is correct
5 Correct 206 ms 32752 KB Output is correct
6 Correct 210 ms 31800 KB Output is correct
7 Correct 138 ms 29688 KB Output is correct
8 Correct 121 ms 38184 KB Output is correct
9 Correct 116 ms 24984 KB Output is correct
10 Correct 228 ms 29288 KB Output is correct
11 Correct 218 ms 29612 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15956 KB Output is correct
2 Correct 10 ms 15956 KB Output is correct
3 Correct 13 ms 15956 KB Output is correct
4 Correct 13 ms 16084 KB Output is correct
5 Correct 12 ms 16084 KB Output is correct
6 Correct 12 ms 16124 KB Output is correct
7 Correct 11 ms 16084 KB Output is correct
8 Correct 8 ms 16084 KB Output is correct
9 Correct 9 ms 16048 KB Output is correct
10 Correct 10 ms 16084 KB Output is correct
11 Correct 9 ms 16212 KB Output is correct
12 Correct 11 ms 16080 KB Output is correct
13 Correct 11 ms 16056 KB Output is correct
14 Correct 10 ms 16084 KB Output is correct
15 Correct 11 ms 15956 KB Output is correct
16 Correct 9 ms 15956 KB Output is correct
17 Correct 174 ms 33752 KB Output is correct
18 Correct 230 ms 31116 KB Output is correct
19 Correct 207 ms 28116 KB Output is correct
20 Correct 258 ms 29476 KB Output is correct
21 Correct 264 ms 28508 KB Output is correct
22 Correct 248 ms 31888 KB Output is correct
23 Correct 199 ms 29620 KB Output is correct
24 Correct 193 ms 26864 KB Output is correct
25 Correct 146 ms 26320 KB Output is correct
26 Correct 252 ms 29136 KB Output is correct
27 Correct 190 ms 31284 KB Output is correct
28 Correct 206 ms 31816 KB Output is correct
29 Correct 217 ms 40736 KB Output is correct
30 Correct 110 ms 40860 KB Output is correct
31 Correct 9 ms 15956 KB Output is correct
32 Correct 265 ms 31612 KB Output is correct
33 Correct 266 ms 30740 KB Output is correct
34 Correct 210 ms 31948 KB Output is correct
35 Correct 223 ms 31304 KB Output is correct
36 Correct 269 ms 29992 KB Output is correct
37 Correct 237 ms 41480 KB Output is correct
38 Correct 252 ms 41464 KB Output is correct
39 Correct 153 ms 40632 KB Output is correct
40 Correct 224 ms 28716 KB Output is correct
41 Correct 233 ms 30904 KB Output is correct
42 Correct 10 ms 15956 KB Output is correct
43 Correct 369 ms 30536 KB Output is correct
44 Correct 291 ms 31240 KB Output is correct
45 Correct 335 ms 28964 KB Output is correct
46 Correct 206 ms 32752 KB Output is correct
47 Correct 210 ms 31800 KB Output is correct
48 Correct 138 ms 29688 KB Output is correct
49 Correct 121 ms 38184 KB Output is correct
50 Correct 116 ms 24984 KB Output is correct
51 Correct 228 ms 29288 KB Output is correct
52 Correct 218 ms 29612 KB Output is correct
53 Correct 10 ms 15920 KB Output is correct
54 Correct 10 ms 15956 KB Output is correct
55 Correct 9 ms 15896 KB Output is correct
56 Correct 14 ms 16052 KB Output is correct
57 Correct 10 ms 16056 KB Output is correct
58 Correct 10 ms 16084 KB Output is correct
59 Correct 9 ms 16084 KB Output is correct
60 Correct 9 ms 16060 KB Output is correct
61 Correct 11 ms 16084 KB Output is correct
62 Correct 13 ms 16112 KB Output is correct
63 Correct 13 ms 16056 KB Output is correct
64 Correct 11 ms 16084 KB Output is correct
65 Correct 12 ms 16104 KB Output is correct
66 Correct 13 ms 16084 KB Output is correct
67 Correct 183 ms 34952 KB Output is correct
68 Correct 186 ms 31648 KB Output is correct
69 Correct 205 ms 28632 KB Output is correct
70 Correct 238 ms 29932 KB Output is correct
71 Correct 297 ms 28300 KB Output is correct
72 Correct 274 ms 31256 KB Output is correct
73 Correct 172 ms 29288 KB Output is correct
74 Correct 173 ms 27168 KB Output is correct
75 Correct 175 ms 27444 KB Output is correct
76 Correct 180 ms 29316 KB Output is correct
77 Correct 167 ms 31072 KB Output is correct
78 Correct 158 ms 31032 KB Output is correct
79 Correct 158 ms 42236 KB Output is correct
80 Correct 114 ms 43044 KB Output is correct
81 Correct 329 ms 30580 KB Output is correct
82 Correct 219 ms 31020 KB Output is correct
83 Correct 165 ms 30148 KB Output is correct
84 Correct 161 ms 31932 KB Output is correct
85 Correct 226 ms 32768 KB Output is correct
86 Correct 188 ms 44248 KB Output is correct
87 Correct 182 ms 44144 KB Output is correct
88 Correct 142 ms 28372 KB Output is correct
89 Correct 170 ms 28620 KB Output is correct
90 Correct 221 ms 31168 KB Output is correct
91 Correct 245 ms 32748 KB Output is correct
92 Correct 212 ms 32620 KB Output is correct
93 Correct 202 ms 31676 KB Output is correct
94 Correct 186 ms 32044 KB Output is correct
95 Correct 119 ms 31424 KB Output is correct
96 Correct 115 ms 37736 KB Output is correct
97 Correct 117 ms 25488 KB Output is correct
98 Correct 167 ms 31036 KB Output is correct
99 Correct 162 ms 31228 KB Output is correct
100 Correct 46 ms 20168 KB Output is correct
101 Correct 255 ms 32552 KB Output is correct
102 Correct 162 ms 30428 KB Output is correct
103 Correct 206 ms 28980 KB Output is correct
104 Correct 246 ms 29220 KB Output is correct