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Submission #726026

# Submission time Handle Problem Language Result Execution time Memory
726026 2023-04-18T10:20:52 Z WonderfulWhale Stranded Far From Home (BOI22_island) C++17
100 / 100
 932 ms 141496 KB 
#include<bits/stdc++.h>
using namespace std;

#define pb push_back
#define st first
#define nd second
#define pii pair<int, int>
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()

const int MAXN = 200009;

int tab[MAXN];
bool ans[MAXN];
map<int, vector<int>> M;
map<int, vector<pii>> edges;
int dependency[MAXN];

int p[MAXN];
int sum[MAXN];
set<pii> S[MAXN];
vector<int> cost;

int Find(int x) {
	return p[x]==x?x:p[x]=Find(p[x]);
}

void Union(int x, int y) {
	int X = Find(x);
	int Y = Find(y);
	if(X==Y) return;
	if(sz(S[X])<sz(S[Y])) swap(X, Y);
	p[Y] = X;
	sum[X] += sum[Y];
	sum[X] = min(sum[X], 1000000009);
	for(pii val:S[Y]) {
		S[X].insert(val);
	}
}

int32_t main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	int n, m;
	cin >> n >> m;
	int Max = 0;
	for(int i=1;i<=n;i++) {
		cin >> tab[i];
		M[tab[i]].pb(i);
		Max = max(Max, tab[i]);
		p[i] = i;
		sum[i] = tab[i];
	}
	for(int i=0;i<m;i++) {
		int a, b;
		cin >> a >> b;
		S[a].insert({tab[b], b});
		S[b].insert({tab[a], a});
		edges[max(tab[a], tab[b])].pb({a, b});
	}
	for(auto &x:M) {
		for(pii y:edges[x.st]) {
			Union(y.st, y.nd);
		}
		for(int y:x.nd) {
			int Y = Find(y);
			auto it = S[Y].upper_bound({sum[Y], 1e9});
			if(it!=S[Y].begin()) {
				it--;
				dependency[y] = it->nd;
			}
		}
	}
	for(int x:M[Max]) {
		ans[x] = true;
	}
	M.erase(Max);
	for(auto it = M.rbegin();it!=M.rend();it++) {
		for(int y:(*it).nd) {
			if(ans[dependency[y]]) {
				ans[y] = true;
			}
		}
	}
	for(int i=1;i<=n;i++) {
		cout << ans[i];
	}
	cout << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 9 ms 10456 KB Output is correct
5 Correct 9 ms 10512 KB Output is correct
6 Correct 7 ms 10196 KB Output is correct
7 Correct 8 ms 10380 KB Output is correct
8 Correct 8 ms 10324 KB Output is correct
9 Correct 6 ms 10000 KB Output is correct
10 Correct 10 ms 10708 KB Output is correct
11 Correct 10 ms 10796 KB Output is correct
12 Correct 9 ms 10708 KB Output is correct
13 Correct 7 ms 10324 KB Output is correct
14 Correct 8 ms 10196 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9728 KB Output is correct
3 Correct 572 ms 93096 KB Output is correct
4 Correct 583 ms 92920 KB Output is correct
5 Correct 787 ms 115780 KB Output is correct
6 Correct 737 ms 111568 KB Output is correct
7 Correct 772 ms 120472 KB Output is correct
8 Correct 551 ms 82268 KB Output is correct
9 Correct 721 ms 141496 KB Output is correct
10 Correct 391 ms 64744 KB Output is correct
11 Correct 341 ms 37516 KB Output is correct
12 Correct 662 ms 84748 KB Output is correct
13 Correct 531 ms 98572 KB Output is correct
14 Correct 604 ms 97656 KB Output is correct
15 Correct 521 ms 89736 KB Output is correct
16 Correct 325 ms 88100 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9732 KB Output is correct
2 Correct 922 ms 136804 KB Output is correct
3 Correct 853 ms 127324 KB Output is correct
4 Correct 532 ms 98692 KB Output is correct
5 Correct 516 ms 99776 KB Output is correct
6 Correct 932 ms 135828 KB Output is correct
7 Correct 500 ms 89696 KB Output is correct
8 Correct 514 ms 89648 KB Output is correct
9 Correct 308 ms 88140 KB Output is correct
10 Correct 581 ms 117192 KB Output is correct
11 Correct 629 ms 97540 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 616 ms 69240 KB Output is correct
3 Correct 612 ms 73900 KB Output is correct
4 Correct 677 ms 82188 KB Output is correct
5 Correct 554 ms 76428 KB Output is correct
6 Correct 505 ms 66416 KB Output is correct
7 Correct 303 ms 38748 KB Output is correct
8 Correct 198 ms 46960 KB Output is correct
9 Correct 488 ms 45644 KB Output is correct
10 Correct 548 ms 79812 KB Output is correct
11 Correct 596 ms 96684 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 9 ms 10456 KB Output is correct
5 Correct 9 ms 10512 KB Output is correct
6 Correct 7 ms 10196 KB Output is correct
7 Correct 8 ms 10380 KB Output is correct
8 Correct 8 ms 10324 KB Output is correct
9 Correct 6 ms 10000 KB Output is correct
10 Correct 10 ms 10708 KB Output is correct
11 Correct 10 ms 10796 KB Output is correct
12 Correct 9 ms 10708 KB Output is correct
13 Correct 7 ms 10324 KB Output is correct
14 Correct 8 ms 10196 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 5 ms 9728 KB Output is correct
17 Correct 572 ms 93096 KB Output is correct
18 Correct 583 ms 92920 KB Output is correct
19 Correct 787 ms 115780 KB Output is correct
20 Correct 737 ms 111568 KB Output is correct
21 Correct 772 ms 120472 KB Output is correct
22 Correct 551 ms 82268 KB Output is correct
23 Correct 721 ms 141496 KB Output is correct
24 Correct 391 ms 64744 KB Output is correct
25 Correct 341 ms 37516 KB Output is correct
26 Correct 662 ms 84748 KB Output is correct
27 Correct 531 ms 98572 KB Output is correct
28 Correct 604 ms 97656 KB Output is correct
29 Correct 521 ms 89736 KB Output is correct
30 Correct 325 ms 88100 KB Output is correct
31 Correct 6 ms 9732 KB Output is correct
32 Correct 922 ms 136804 KB Output is correct
33 Correct 853 ms 127324 KB Output is correct
34 Correct 532 ms 98692 KB Output is correct
35 Correct 516 ms 99776 KB Output is correct
36 Correct 932 ms 135828 KB Output is correct
37 Correct 500 ms 89696 KB Output is correct
38 Correct 514 ms 89648 KB Output is correct
39 Correct 308 ms 88140 KB Output is correct
40 Correct 581 ms 117192 KB Output is correct
41 Correct 629 ms 97540 KB Output is correct
42 Correct 5 ms 9684 KB Output is correct
43 Correct 616 ms 69240 KB Output is correct
44 Correct 612 ms 73900 KB Output is correct
45 Correct 677 ms 82188 KB Output is correct
46 Correct 554 ms 76428 KB Output is correct
47 Correct 505 ms 66416 KB Output is correct
48 Correct 303 ms 38748 KB Output is correct
49 Correct 198 ms 46960 KB Output is correct
50 Correct 488 ms 45644 KB Output is correct
51 Correct 548 ms 79812 KB Output is correct
52 Correct 596 ms 96684 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 6 ms 9728 KB Output is correct
55 Correct 5 ms 9732 KB Output is correct
56 Correct 8 ms 10492 KB Output is correct
57 Correct 9 ms 10580 KB Output is correct
58 Correct 9 ms 10148 KB Output is correct
59 Correct 9 ms 10384 KB Output is correct
60 Correct 8 ms 10324 KB Output is correct
61 Correct 6 ms 10060 KB Output is correct
62 Correct 9 ms 10628 KB Output is correct
63 Correct 10 ms 10776 KB Output is correct
64 Correct 8 ms 10708 KB Output is correct
65 Correct 7 ms 10324 KB Output is correct
66 Correct 8 ms 10196 KB Output is correct
67 Correct 524 ms 93052 KB Output is correct
68 Correct 564 ms 93032 KB Output is correct
69 Correct 744 ms 115764 KB Output is correct
70 Correct 656 ms 111604 KB Output is correct
71 Correct 710 ms 120408 KB Output is correct
72 Correct 548 ms 82220 KB Output is correct
73 Correct 695 ms 141448 KB Output is correct
74 Correct 341 ms 64840 KB Output is correct
75 Correct 310 ms 37484 KB Output is correct
76 Correct 611 ms 84728 KB Output is correct
77 Correct 505 ms 98628 KB Output is correct
78 Correct 558 ms 97664 KB Output is correct
79 Correct 523 ms 89628 KB Output is correct
80 Correct 311 ms 88168 KB Output is correct
81 Correct 866 ms 136864 KB Output is correct
82 Correct 795 ms 127312 KB Output is correct
83 Correct 508 ms 98724 KB Output is correct
84 Correct 507 ms 99820 KB Output is correct
85 Correct 898 ms 135872 KB Output is correct
86 Correct 510 ms 89664 KB Output is correct
87 Correct 515 ms 89676 KB Output is correct
88 Correct 569 ms 117308 KB Output is correct
89 Correct 614 ms 97576 KB Output is correct
90 Correct 632 ms 69076 KB Output is correct
91 Correct 638 ms 73912 KB Output is correct
92 Correct 708 ms 82216 KB Output is correct
93 Correct 515 ms 76492 KB Output is correct
94 Correct 512 ms 66600 KB Output is correct
95 Correct 274 ms 38724 KB Output is correct
96 Correct 196 ms 46860 KB Output is correct
97 Correct 483 ms 45784 KB Output is correct
98 Correct 553 ms 79684 KB Output is correct
99 Correct 567 ms 96688 KB Output is correct
100 Correct 366 ms 33820 KB Output is correct
101 Correct 849 ms 108232 KB Output is correct
102 Correct 498 ms 62184 KB Output is correct
103 Correct 750 ms 81724 KB Output is correct
104 Correct 904 ms 103900 KB Output is correct