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Submission #572575

# Submission time Handle Problem Language Result Execution time Memory
572575 2022-06-04T17:19:44 Z model_code Stranded Far From Home (BOI22_island) C++17
100 / 100
 350 ms 40452 KB 
#include <bits/stdc++.h>

using namespace std;

int fnd(int u, vector<int> &p){ // performs path compression
	if(p[u] < 0) return u;
	return p[u] = fnd(p[u], p);
}

void mrg(int u, int v, vector<int> &p, vector<long long> &strength){
	u = fnd(u,p), v = fnd(v,p);
	if(u==v) return;
	if(p[u] > p[v]) swap(u,v); // performs size optimization
	p[u] += p[v];
	p[v] = u;
	strength[u] += strength[v];
}

void dfs(int u, int flag, vector<int> &canwin, vector<vector<int>> &mark){
	canwin[u] &= flag;
	for(int v : mark[u]) dfs(v, canwin[u], canwin, mark);
}

int main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	int N, M;
	cin >> N >> M;
	vector<int> s(N);
	for(int &x : s) cin >> x;
	vector<vector<int>> g(N);
	for(int i = 0, u, v; i < M; i++){
		cin >> u >> v;
		u--, v--;
		g[u].push_back(v), g[v].push_back(u);
	}
	vector<int> canwin(N,1), p(N,-1), vis(N), inserted(N), rep(N);
	vector<long long> strength(N);
	vector<vector<int>> mark(N);
	vector<pair<int,int>> order(N);
	for(int i = 0; i < N; i++){
		strength[i] = s[i];
		order[i] = {s[i],i};
	}
	sort(order.begin(), order.end());
	for(auto t : order){ // insert nodes in increasing order of weight
		int u = t.second;
		for(int v : g[u]) if(inserted[v]){
			int w = rep[fnd(v,p)]; // components representant
			if(strength[fnd(v,p)] < s[u]){ // this component cannot win
				canwin[w] = 0;
			}
			if(!vis[w]){ // build structure for marking
				mark[u].push_back(w);
				vis[w] = 1;
			}
		}
		for(int v : g[u]) if(inserted[v]) vis[rep[fnd(v,p)]] = 0;
		for(int v : g[u]) if(inserted[v]) mrg(u,v,p,strength);
		rep[fnd(u,p)] = u;
		inserted[u] = 1;
	}
	dfs(order[N-1].second,1,canwin,mark); // propagate marks
	for(int i = 0; i < N; i++) cout << canwin[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 0 ms 212 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 596 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 476 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 2 ms 596 KB Output is correct
10 Correct 3 ms 596 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 468 KB Output is correct
13 Correct 2 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 190 ms 32048 KB Output is correct
4 Correct 206 ms 38628 KB Output is correct
5 Correct 286 ms 27080 KB Output is correct
6 Correct 292 ms 27916 KB Output is correct
7 Correct 269 ms 27976 KB Output is correct
8 Correct 250 ms 39652 KB Output is correct
9 Correct 205 ms 27076 KB Output is correct
10 Correct 159 ms 26064 KB Output is correct
11 Correct 189 ms 40452 KB Output is correct
12 Correct 303 ms 30604 KB Output is correct
13 Correct 224 ms 39652 KB Output is correct
14 Correct 215 ms 38672 KB Output is correct
15 Correct 226 ms 39608 KB Output is correct
16 Correct 138 ms 39128 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 311 ms 28004 KB Output is correct
3 Correct 282 ms 28084 KB Output is correct
4 Correct 258 ms 39568 KB Output is correct
5 Correct 182 ms 36656 KB Output is correct
6 Correct 291 ms 28088 KB Output is correct
7 Correct 212 ms 39608 KB Output is correct
8 Correct 236 ms 39556 KB Output is correct
9 Correct 176 ms 39248 KB Output is correct
10 Correct 183 ms 31740 KB Output is correct
11 Correct 208 ms 29916 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 274 ms 28456 KB Output is correct
3 Correct 282 ms 28064 KB Output is correct
4 Correct 323 ms 28024 KB Output is correct
5 Correct 255 ms 28008 KB Output is correct
6 Correct 266 ms 27868 KB Output is correct
7 Correct 166 ms 33788 KB Output is correct
8 Correct 144 ms 39656 KB Output is correct
9 Correct 164 ms 15860 KB Output is correct
10 Correct 264 ms 27996 KB Output is correct
11 Correct 227 ms 29932 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 0 ms 212 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 596 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 476 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 2 ms 596 KB Output is correct
10 Correct 3 ms 596 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 468 KB Output is correct
13 Correct 2 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 190 ms 32048 KB Output is correct
18 Correct 206 ms 38628 KB Output is correct
19 Correct 286 ms 27080 KB Output is correct
20 Correct 292 ms 27916 KB Output is correct
21 Correct 269 ms 27976 KB Output is correct
22 Correct 250 ms 39652 KB Output is correct
23 Correct 205 ms 27076 KB Output is correct
24 Correct 159 ms 26064 KB Output is correct
25 Correct 189 ms 40452 KB Output is correct
26 Correct 303 ms 30604 KB Output is correct
27 Correct 224 ms 39652 KB Output is correct
28 Correct 215 ms 38672 KB Output is correct
29 Correct 226 ms 39608 KB Output is correct
30 Correct 138 ms 39128 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 311 ms 28004 KB Output is correct
33 Correct 282 ms 28084 KB Output is correct
34 Correct 258 ms 39568 KB Output is correct
35 Correct 182 ms 36656 KB Output is correct
36 Correct 291 ms 28088 KB Output is correct
37 Correct 212 ms 39608 KB Output is correct
38 Correct 236 ms 39556 KB Output is correct
39 Correct 176 ms 39248 KB Output is correct
40 Correct 183 ms 31740 KB Output is correct
41 Correct 208 ms 29916 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 274 ms 28456 KB Output is correct
44 Correct 282 ms 28064 KB Output is correct
45 Correct 323 ms 28024 KB Output is correct
46 Correct 255 ms 28008 KB Output is correct
47 Correct 266 ms 27868 KB Output is correct
48 Correct 166 ms 33788 KB Output is correct
49 Correct 144 ms 39656 KB Output is correct
50 Correct 164 ms 15860 KB Output is correct
51 Correct 264 ms 27996 KB Output is correct
52 Correct 227 ms 29932 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 0 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 2 ms 468 KB Output is correct
57 Correct 3 ms 596 KB Output is correct
58 Correct 2 ms 468 KB Output is correct
59 Correct 2 ms 468 KB Output is correct
60 Correct 3 ms 468 KB Output is correct
61 Correct 2 ms 596 KB Output is correct
62 Correct 4 ms 596 KB Output is correct
63 Correct 2 ms 596 KB Output is correct
64 Correct 2 ms 468 KB Output is correct
65 Correct 2 ms 596 KB Output is correct
66 Correct 2 ms 596 KB Output is correct
67 Correct 186 ms 32040 KB Output is correct
68 Correct 192 ms 38736 KB Output is correct
69 Correct 274 ms 27052 KB Output is correct
70 Correct 290 ms 27916 KB Output is correct
71 Correct 264 ms 28020 KB Output is correct
72 Correct 228 ms 39732 KB Output is correct
73 Correct 175 ms 27084 KB Output is correct
74 Correct 153 ms 26048 KB Output is correct
75 Correct 162 ms 40324 KB Output is correct
76 Correct 250 ms 30640 KB Output is correct
77 Correct 199 ms 39552 KB Output is correct
78 Correct 169 ms 38712 KB Output is correct
79 Correct 242 ms 39544 KB Output is correct
80 Correct 128 ms 39148 KB Output is correct
81 Correct 294 ms 27940 KB Output is correct
82 Correct 333 ms 28116 KB Output is correct
83 Correct 264 ms 39584 KB Output is correct
84 Correct 178 ms 36636 KB Output is correct
85 Correct 277 ms 28096 KB Output is correct
86 Correct 259 ms 39548 KB Output is correct
87 Correct 183 ms 39620 KB Output is correct
88 Correct 185 ms 31732 KB Output is correct
89 Correct 180 ms 29900 KB Output is correct
90 Correct 314 ms 28416 KB Output is correct
91 Correct 319 ms 28000 KB Output is correct
92 Correct 350 ms 28044 KB Output is correct
93 Correct 348 ms 28080 KB Output is correct
94 Correct 284 ms 27944 KB Output is correct
95 Correct 210 ms 33756 KB Output is correct
96 Correct 149 ms 39540 KB Output is correct
97 Correct 162 ms 15876 KB Output is correct
98 Correct 216 ms 28028 KB Output is correct
99 Correct 189 ms 29884 KB Output is correct
100 Correct 46 ms 3056 KB Output is correct
101 Correct 286 ms 28044 KB Output is correct
102 Correct 231 ms 24924 KB Output is correct
103 Correct 287 ms 26144 KB Output is correct
104 Correct 330 ms 28484 KB Output is correct