oj.uz

Submission #796180

# Submission time Handle Problem Language Result Execution time Memory
796180 2023-07-28T07:31:03 Z GEN 이지후(#10112) Security Guard (JOI23_guard) C++17
50 / 100
 180 ms 150348 KB 
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<int, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXN = 200005;

// case tree:
// root with maximum
// anchor in parent
// using the guard from root, can do everything

struct disj {
	int pa[MAXN];
	void init(int n) { iota(pa, pa + n + 1, 0); }
	int find(int x) { return pa[x] = (pa[x] == x ? x : find(pa[x])); }
	bool uni(int p, int q) {
		p = find(p);
		q = find(q);
		if (p == q)
			return 0;
		pa[q] = p;
		return 1;
	}
} disj;

vector<pi> gph[MAXN];
const int MAXC = 3005;
lint a[MAXN];
lint dp[MAXC][MAXC][2], aux[MAXC][2]; // one for each sub
int sz[MAXN];

void dfs(int x, int p) {
	sz[x] = 1;
	dp[x][0][0] = 0;
	dp[x][0][1] = a[x];
	for (auto &[w, y] : gph[x]) {
		if (y == p)
			continue;
		dfs(y, x);
		memset(aux, 0x3f, sizeof(aux));
		for (int i = 0; i < sz[y]; i++) {
			dp[y][i + 1][0] = min(dp[y][i + 1][0], dp[y][i][1] - w);
		}
		for (int i = 0; i <= sz[x]; i++) {
			for (int j = 0; j <= sz[y]; j++) {
				for (int k = 0; k < 2; k++) {
					for (int l = 0; k + l < 2; l++) {
						aux[i + j][k + l] = min(aux[i + j][k + l], dp[x][i][k] + dp[y][j][l]);
					}
				}
			}
		}
		sz[x] += sz[y];
		for (int i = 0; i <= sz[x]; i++) {
			dp[x][i][0] = aux[i][0];
			dp[x][i][1] = aux[i][1];
		}
	}
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n, m, q;
	cin >> n >> m >> q;
	for (int i = 0; i < n; i++) {
		cin >> a[i];
	}
	vector<array<int, 3>> edges(m);
	for (auto &[x, s, e] : edges) {
		cin >> s >> e;
		s--;
		e--;
		x = a[s] + a[e];
	}
	sort(all(edges));
	lint ans = -accumulate(a, a + n, 0ll) + *max_element(a, a + n);
	disj.init(n);
	for (auto &[x, s, e] : edges) {
		if (disj.uni(s, e)) {
			ans += x;
			gph[s].push_back({x, e});
			gph[e].push_back({x, s});
		}
	}
	cout << ans << "\n";
	if (q > 0) {
		int rt = min_element(a, a + n) - a;
		memset(dp, 0x3f, sizeof(dp));
		dfs(rt, -1);
		for (int i = 1; i <= q; i++) {
			cout << ans + a[rt] * i + dp[rt][i][0] << "\n";
		}
	}
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 60 ms 15916 KB Output is correct
3 Correct 59 ms 15896 KB Output is correct
4 Correct 78 ms 15868 KB Output is correct
5 Correct 69 ms 15852 KB Output is correct
6 Correct 70 ms 15908 KB Output is correct
7 Correct 70 ms 15852 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 60 ms 15916 KB Output is correct
3 Correct 59 ms 15896 KB Output is correct
4 Correct 78 ms 15868 KB Output is correct
5 Correct 69 ms 15852 KB Output is correct
6 Correct 70 ms 15908 KB Output is correct
7 Correct 70 ms 15852 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 116 ms 16000 KB Output is correct
11 Correct 70 ms 15972 KB Output is correct
12 Correct 65 ms 15868 KB Output is correct
13 Correct 63 ms 15952 KB Output is correct
14 Correct 107 ms 15948 KB Output is correct
15 Correct 86 ms 15852 KB Output is correct
16 Correct 94 ms 15856 KB Output is correct
17 Correct 85 ms 15856 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 60 ms 15916 KB Output is correct
3 Correct 59 ms 15896 KB Output is correct
4 Correct 78 ms 15868 KB Output is correct
5 Correct 69 ms 15852 KB Output is correct
6 Correct 70 ms 15908 KB Output is correct
7 Correct 70 ms 15852 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 116 ms 16000 KB Output is correct
11 Correct 70 ms 15972 KB Output is correct
12 Correct 65 ms 15868 KB Output is correct
13 Correct 63 ms 15952 KB Output is correct
14 Correct 107 ms 15948 KB Output is correct
15 Correct 86 ms 15852 KB Output is correct
16 Correct 94 ms 15856 KB Output is correct
17 Correct 85 ms 15856 KB Output is correct
18 Correct 2 ms 4948 KB Output is correct
19 Correct 104 ms 16744 KB Output is correct
20 Correct 99 ms 16748 KB Output is correct
21 Correct 98 ms 16912 KB Output is correct
22 Correct 104 ms 17172 KB Output is correct
23 Correct 86 ms 17772 KB Output is correct
24 Correct 86 ms 17640 KB Output is correct
25 Correct 108 ms 17520 KB Output is correct
26 Correct 82 ms 17496 KB Output is correct
27 Correct 92 ms 17496 KB Output is correct
28 Correct 90 ms 16236 KB Output is correct
29 Correct 90 ms 16692 KB Output is correct
30 Correct 93 ms 17240 KB Output is correct
31 Correct 84 ms 17484 KB Output is correct
32 Correct 119 ms 17524 KB Output is correct
33 Correct 94 ms 18288 KB Output is correct
34 Correct 120 ms 17072 KB Output is correct
35 Correct 127 ms 18252 KB Output is correct
36 Correct 92 ms 18024 KB Output is correct
37 Correct 94 ms 18028 KB Output is correct
38 Correct 94 ms 17760 KB Output is correct
39 Correct 86 ms 17504 KB Output is correct
40 Correct 88 ms 17892 KB Output is correct
41 Correct 84 ms 15880 KB Output is correct
42 Correct 82 ms 15948 KB Output is correct
43 Correct 133 ms 17132 KB Output is correct
44 Correct 118 ms 17132 KB Output is correct
45 Correct 100 ms 17100 KB Output is correct
46 Correct 112 ms 17084 KB Output is correct
47 Correct 112 ms 17100 KB Output is correct
48 Correct 104 ms 17192 KB Output is correct
49 Correct 90 ms 17148 KB Output is correct
50 Correct 90 ms 17108 KB Output is correct
51 Correct 102 ms 17128 KB Output is correct
52 Correct 90 ms 17108 KB Output is correct

Subtask #4
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 60 ms 15916 KB Output is correct
3 Correct 59 ms 15896 KB Output is correct
4 Correct 78 ms 15868 KB Output is correct
5 Correct 69 ms 15852 KB Output is correct
6 Correct 70 ms 15908 KB Output is correct
7 Correct 70 ms 15852 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 116 ms 16000 KB Output is correct
11 Correct 70 ms 15972 KB Output is correct
12 Correct 65 ms 15868 KB Output is correct
13 Correct 63 ms 15952 KB Output is correct
14 Correct 107 ms 15948 KB Output is correct
15 Correct 86 ms 15852 KB Output is correct
16 Correct 94 ms 15856 KB Output is correct
17 Correct 85 ms 15856 KB Output is correct
18 Correct 2 ms 4948 KB Output is correct
19 Correct 104 ms 16744 KB Output is correct
20 Correct 99 ms 16748 KB Output is correct
21 Correct 98 ms 16912 KB Output is correct
22 Correct 104 ms 17172 KB Output is correct
23 Correct 86 ms 17772 KB Output is correct
24 Correct 86 ms 17640 KB Output is correct
25 Correct 108 ms 17520 KB Output is correct
26 Correct 82 ms 17496 KB Output is correct
27 Correct 92 ms 17496 KB Output is correct
28 Correct 90 ms 16236 KB Output is correct
29 Correct 90 ms 16692 KB Output is correct
30 Correct 93 ms 17240 KB Output is correct
31 Correct 84 ms 17484 KB Output is correct
32 Correct 119 ms 17524 KB Output is correct
33 Correct 94 ms 18288 KB Output is correct
34 Correct 120 ms 17072 KB Output is correct
35 Correct 127 ms 18252 KB Output is correct
36 Correct 92 ms 18024 KB Output is correct
37 Correct 94 ms 18028 KB Output is correct
38 Correct 94 ms 17760 KB Output is correct
39 Correct 86 ms 17504 KB Output is correct
40 Correct 88 ms 17892 KB Output is correct
41 Correct 84 ms 15880 KB Output is correct
42 Correct 82 ms 15948 KB Output is correct
43 Correct 133 ms 17132 KB Output is correct
44 Correct 118 ms 17132 KB Output is correct
45 Correct 100 ms 17100 KB Output is correct
46 Correct 112 ms 17084 KB Output is correct
47 Correct 112 ms 17100 KB Output is correct
48 Correct 104 ms 17192 KB Output is correct
49 Correct 90 ms 17148 KB Output is correct
50 Correct 90 ms 17108 KB Output is correct
51 Correct 102 ms 17128 KB Output is correct
52 Correct 90 ms 17108 KB Output is correct
53 Correct 3 ms 4948 KB Output is correct
54 Correct 116 ms 17288 KB Output is correct
55 Correct 117 ms 17224 KB Output is correct
56 Correct 154 ms 18116 KB Output is correct
57 Correct 163 ms 19968 KB Output is correct
58 Correct 178 ms 20532 KB Output is correct
59 Correct 165 ms 20568 KB Output is correct
60 Correct 118 ms 19024 KB Output is correct
61 Correct 151 ms 20348 KB Output is correct
62 Correct 151 ms 20440 KB Output is correct
63 Correct 115 ms 16788 KB Output is correct
64 Correct 134 ms 18196 KB Output is correct
65 Correct 151 ms 19948 KB Output is correct
66 Correct 152 ms 20292 KB Output is correct
67 Correct 158 ms 20364 KB Output is correct
68 Correct 101 ms 18680 KB Output is correct
69 Correct 138 ms 19008 KB Output is correct
70 Correct 107 ms 18800 KB Output is correct
71 Correct 97 ms 18356 KB Output is correct
72 Correct 108 ms 18408 KB Output is correct
73 Correct 99 ms 18024 KB Output is correct
74 Correct 89 ms 17796 KB Output is correct
75 Correct 92 ms 18244 KB Output is correct
76 Correct 91 ms 16264 KB Output is correct
77 Correct 84 ms 16100 KB Output is correct
78 Correct 107 ms 17580 KB Output is correct
79 Correct 180 ms 19968 KB Output is correct
80 Correct 142 ms 18084 KB Output is correct
81 Correct 153 ms 19464 KB Output is correct
82 Correct 172 ms 20004 KB Output is correct
83 Correct 177 ms 20012 KB Output is correct
84 Correct 155 ms 19976 KB Output is correct
85 Correct 94 ms 17440 KB Output is correct
86 Correct 111 ms 17504 KB Output is correct
87 Correct 94 ms 17424 KB Output is correct
88 Correct 163 ms 20052 KB Output is correct

Subtask #5
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 57 ms 146336 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 49 ms 146368 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Incorrect 64 ms 150348 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #6
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 57 ms 146336 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 49 ms 146368 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Incorrect 64 ms 150348 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #7
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 60 ms 15916 KB Output is correct
3 Correct 59 ms 15896 KB Output is correct
4 Correct 78 ms 15868 KB Output is correct
5 Correct 69 ms 15852 KB Output is correct
6 Correct 70 ms 15908 KB Output is correct
7 Correct 70 ms 15852 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 116 ms 16000 KB Output is correct
11 Correct 70 ms 15972 KB Output is correct
12 Correct 65 ms 15868 KB Output is correct
13 Correct 63 ms 15952 KB Output is correct
14 Correct 107 ms 15948 KB Output is correct
15 Correct 86 ms 15852 KB Output is correct
16 Correct 94 ms 15856 KB Output is correct
17 Correct 85 ms 15856 KB Output is correct
18 Correct 2 ms 4948 KB Output is correct
19 Correct 104 ms 16744 KB Output is correct
20 Correct 99 ms 16748 KB Output is correct
21 Correct 98 ms 16912 KB Output is correct
22 Correct 104 ms 17172 KB Output is correct
23 Correct 86 ms 17772 KB Output is correct
24 Correct 86 ms 17640 KB Output is correct
25 Correct 108 ms 17520 KB Output is correct
26 Correct 82 ms 17496 KB Output is correct
27 Correct 92 ms 17496 KB Output is correct
28 Correct 90 ms 16236 KB Output is correct
29 Correct 90 ms 16692 KB Output is correct
30 Correct 93 ms 17240 KB Output is correct
31 Correct 84 ms 17484 KB Output is correct
32 Correct 119 ms 17524 KB Output is correct
33 Correct 94 ms 18288 KB Output is correct
34 Correct 120 ms 17072 KB Output is correct
35 Correct 127 ms 18252 KB Output is correct
36 Correct 92 ms 18024 KB Output is correct
37 Correct 94 ms 18028 KB Output is correct
38 Correct 94 ms 17760 KB Output is correct
39 Correct 86 ms 17504 KB Output is correct
40 Correct 88 ms 17892 KB Output is correct
41 Correct 84 ms 15880 KB Output is correct
42 Correct 82 ms 15948 KB Output is correct
43 Correct 133 ms 17132 KB Output is correct
44 Correct 118 ms 17132 KB Output is correct
45 Correct 100 ms 17100 KB Output is correct
46 Correct 112 ms 17084 KB Output is correct
47 Correct 112 ms 17100 KB Output is correct
48 Correct 104 ms 17192 KB Output is correct
49 Correct 90 ms 17148 KB Output is correct
50 Correct 90 ms 17108 KB Output is correct
51 Correct 102 ms 17128 KB Output is correct
52 Correct 90 ms 17108 KB Output is correct
53 Correct 3 ms 4948 KB Output is correct
54 Correct 116 ms 17288 KB Output is correct
55 Correct 117 ms 17224 KB Output is correct
56 Correct 154 ms 18116 KB Output is correct
57 Correct 163 ms 19968 KB Output is correct
58 Correct 178 ms 20532 KB Output is correct
59 Correct 165 ms 20568 KB Output is correct
60 Correct 118 ms 19024 KB Output is correct
61 Correct 151 ms 20348 KB Output is correct
62 Correct 151 ms 20440 KB Output is correct
63 Correct 115 ms 16788 KB Output is correct
64 Correct 134 ms 18196 KB Output is correct
65 Correct 151 ms 19948 KB Output is correct
66 Correct 152 ms 20292 KB Output is correct
67 Correct 158 ms 20364 KB Output is correct
68 Correct 101 ms 18680 KB Output is correct
69 Correct 138 ms 19008 KB Output is correct
70 Correct 107 ms 18800 KB Output is correct
71 Correct 97 ms 18356 KB Output is correct
72 Correct 108 ms 18408 KB Output is correct
73 Correct 99 ms 18024 KB Output is correct
74 Correct 89 ms 17796 KB Output is correct
75 Correct 92 ms 18244 KB Output is correct
76 Correct 91 ms 16264 KB Output is correct
77 Correct 84 ms 16100 KB Output is correct
78 Correct 107 ms 17580 KB Output is correct
79 Correct 180 ms 19968 KB Output is correct
80 Correct 142 ms 18084 KB Output is correct
81 Correct 153 ms 19464 KB Output is correct
82 Correct 172 ms 20004 KB Output is correct
83 Correct 177 ms 20012 KB Output is correct
84 Correct 155 ms 19976 KB Output is correct
85 Correct 94 ms 17440 KB Output is correct
86 Correct 111 ms 17504 KB Output is correct
87 Correct 94 ms 17424 KB Output is correct
88 Correct 163 ms 20052 KB Output is correct
89 Correct 2 ms 4948 KB Output is correct
90 Correct 57 ms 146336 KB Output is correct
91 Correct 3 ms 4948 KB Output is correct
92 Correct 2 ms 4948 KB Output is correct
93 Correct 2 ms 4948 KB Output is correct
94 Correct 49 ms 146368 KB Output is correct
95 Correct 2 ms 4948 KB Output is correct
96 Incorrect 64 ms 150348 KB Output isn't correct
97 Halted 0 ms 0 KB -