oj.uz

Submission #887609

# Submission time Handle Problem Language Result Execution time Memory
887609 2023-12-14T20:17:39 Z box Power Plant (JOI20_power) C++17
100 / 100
 131 ms 39520 KB 
/*
dp[i][0/1][0/1] = maximum answer for subtree of i with fixed (outside of subtree) & (subtree) existence of an activated generator
*/
#include <bits/stdc++.h>
using namespace std;

#define ar array

const int N = 2e5;

int n;
vector<int> adj[N];
string s;
int dp[N][2][2];

ar<int, 2> one(const ar<int, 2> one, const ar<int, 2> two) {
    return {one[0] + two[0], max(one[1] + two[1], max(one[0] + two[1], one[1] + two[0]))};
}
ar<int, 2> two(const ar<int, 2> one, const ar<int, 2> two) {
    return {one[0] + two[0], max(one[1] + two[0], one[0] + two[1])};
}
ar<int, 3> three(const ar<int, 3> one, const ar<int, 2> two) {
    ar<int, 3> me{-n, -n, -n};
    for (int a = 0; a < 3; a++) for (int b = 0; b < 2; b++) me[min(2, a + b)] = max(me[min(2, a + b)], one[a] + two[b]);
    return me;
}

void dfs(int p, int i) {
    for (int j : adj[i]) if (p != j) dfs(i, j);
    ar<int, 3> f{0, -n, -n};
    ar<int, 2> f2{0, -n};
    int z = 0;
    for (int j : adj[i]) if (p != j) {
        z += dp[j][0][0];
        f = three(f, ar<int, 2>{dp[j][1][0], dp[j][1][1]});
        f2 = two(f2, ar<int, 2>{dp[j][1][0], dp[j][0][1]});
    }
    dp[i][1][0] = f[0];
    dp[i][1][1] = max(f[1] - (s[i] == '1'), f[2] - (s[i] == '1'));
    dp[i][0][0] = z;
    dp[i][0][1] = max(f2[1], f[2] - (s[i] == '1'));
    if (s[i] == '1') {
        dp[i][0][1] = max(dp[i][0][1], max({f[0] + 1, f[1] + 1, f[2] - 1}));
        dp[i][1][1] = max(dp[i][1][1], max({f[0] + 1, f[1] - 1, f[2] - 1}));
    }
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> n;
    for (int h = 0; h < n - 1; h++) {
        int i, j;
        cin >> i >> j, i--, j--;
        adj[i].push_back(j);
        adj[j].push_back(i);
    }
    cin >> s;
    dfs(-1, 0);
    cout << max(dp[0][0][0], dp[0][0][1]) << '\n';
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5980 KB Output is correct
2 Correct 2 ms 5980 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 1 ms 5980 KB Output is correct
5 Correct 1 ms 5980 KB Output is correct
6 Correct 2 ms 6232 KB Output is correct
7 Correct 2 ms 5988 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 2 ms 5980 KB Output is correct
10 Correct 2 ms 5980 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 6064 KB Output is correct
13 Correct 1 ms 5824 KB Output is correct
14 Correct 2 ms 5976 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 2 ms 5980 KB Output is correct
17 Correct 2 ms 5980 KB Output is correct
18 Correct 1 ms 5980 KB Output is correct
19 Correct 1 ms 5980 KB Output is correct
20 Correct 2 ms 5976 KB Output is correct
21 Correct 2 ms 5980 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5980 KB Output is correct
2 Correct 2 ms 5980 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 1 ms 5980 KB Output is correct
5 Correct 1 ms 5980 KB Output is correct
6 Correct 2 ms 6232 KB Output is correct
7 Correct 2 ms 5988 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 2 ms 5980 KB Output is correct
10 Correct 2 ms 5980 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 6064 KB Output is correct
13 Correct 1 ms 5824 KB Output is correct
14 Correct 2 ms 5976 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 2 ms 5980 KB Output is correct
17 Correct 2 ms 5980 KB Output is correct
18 Correct 1 ms 5980 KB Output is correct
19 Correct 1 ms 5980 KB Output is correct
20 Correct 2 ms 5976 KB Output is correct
21 Correct 2 ms 5980 KB Output is correct
22 Correct 2 ms 5980 KB Output is correct
23 Correct 2 ms 5984 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 2 ms 5980 KB Output is correct
26 Correct 2 ms 5980 KB Output is correct
27 Correct 2 ms 5980 KB Output is correct
28 Correct 2 ms 6136 KB Output is correct
29 Correct 2 ms 6232 KB Output is correct
30 Correct 2 ms 6236 KB Output is correct
31 Correct 2 ms 5980 KB Output is correct
32 Correct 2 ms 5980 KB Output is correct
33 Correct 2 ms 5980 KB Output is correct
34 Correct 2 ms 5980 KB Output is correct
35 Correct 3 ms 5980 KB Output is correct
36 Correct 2 ms 5980 KB Output is correct
37 Correct 2 ms 5980 KB Output is correct
38 Correct 2 ms 5980 KB Output is correct
39 Correct 2 ms 6232 KB Output is correct
40 Correct 2 ms 6236 KB Output is correct
41 Correct 2 ms 6236 KB Output is correct
42 Correct 2 ms 5980 KB Output is correct
43 Correct 2 ms 5980 KB Output is correct
44 Correct 2 ms 6076 KB Output is correct
45 Correct 2 ms 5980 KB Output is correct
46 Correct 2 ms 5980 KB Output is correct
47 Correct 2 ms 6068 KB Output is correct
48 Correct 2 ms 6232 KB Output is correct
49 Correct 3 ms 6236 KB Output is correct
50 Correct 2 ms 6148 KB Output is correct
51 Correct 2 ms 5980 KB Output is correct
52 Correct 2 ms 6072 KB Output is correct
53 Correct 2 ms 5980 KB Output is correct
54 Correct 2 ms 5980 KB Output is correct
55 Correct 2 ms 5980 KB Output is correct
56 Correct 2 ms 5980 KB Output is correct
57 Correct 2 ms 6236 KB Output is correct
58 Correct 2 ms 5980 KB Output is correct
59 Correct 2 ms 5980 KB Output is correct
60 Correct 2 ms 6236 KB Output is correct
61 Correct 2 ms 5976 KB Output is correct
62 Correct 2 ms 6324 KB Output is correct
63 Correct 2 ms 5980 KB Output is correct

Subtask #3
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5980 KB Output is correct
2 Correct 2 ms 5980 KB Output is correct
3 Correct 2 ms 5980 KB Output is correct
4 Correct 1 ms 5980 KB Output is correct
5 Correct 1 ms 5980 KB Output is correct
6 Correct 2 ms 6232 KB Output is correct
7 Correct 2 ms 5988 KB Output is correct
8 Correct 2 ms 5980 KB Output is correct
9 Correct 2 ms 5980 KB Output is correct
10 Correct 2 ms 5980 KB Output is correct
11 Correct 2 ms 5980 KB Output is correct
12 Correct 1 ms 6064 KB Output is correct
13 Correct 1 ms 5824 KB Output is correct
14 Correct 2 ms 5976 KB Output is correct
15 Correct 2 ms 5980 KB Output is correct
16 Correct 2 ms 5980 KB Output is correct
17 Correct 2 ms 5980 KB Output is correct
18 Correct 1 ms 5980 KB Output is correct
19 Correct 1 ms 5980 KB Output is correct
20 Correct 2 ms 5976 KB Output is correct
21 Correct 2 ms 5980 KB Output is correct
22 Correct 2 ms 5980 KB Output is correct
23 Correct 2 ms 5984 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 2 ms 5980 KB Output is correct
26 Correct 2 ms 5980 KB Output is correct
27 Correct 2 ms 5980 KB Output is correct
28 Correct 2 ms 6136 KB Output is correct
29 Correct 2 ms 6232 KB Output is correct
30 Correct 2 ms 6236 KB Output is correct
31 Correct 2 ms 5980 KB Output is correct
32 Correct 2 ms 5980 KB Output is correct
33 Correct 2 ms 5980 KB Output is correct
34 Correct 2 ms 5980 KB Output is correct
35 Correct 3 ms 5980 KB Output is correct
36 Correct 2 ms 5980 KB Output is correct
37 Correct 2 ms 5980 KB Output is correct
38 Correct 2 ms 5980 KB Output is correct
39 Correct 2 ms 6232 KB Output is correct
40 Correct 2 ms 6236 KB Output is correct
41 Correct 2 ms 6236 KB Output is correct
42 Correct 2 ms 5980 KB Output is correct
43 Correct 2 ms 5980 KB Output is correct
44 Correct 2 ms 6076 KB Output is correct
45 Correct 2 ms 5980 KB Output is correct
46 Correct 2 ms 5980 KB Output is correct
47 Correct 2 ms 6068 KB Output is correct
48 Correct 2 ms 6232 KB Output is correct
49 Correct 3 ms 6236 KB Output is correct
50 Correct 2 ms 6148 KB Output is correct
51 Correct 2 ms 5980 KB Output is correct
52 Correct 2 ms 6072 KB Output is correct
53 Correct 2 ms 5980 KB Output is correct
54 Correct 2 ms 5980 KB Output is correct
55 Correct 2 ms 5980 KB Output is correct
56 Correct 2 ms 5980 KB Output is correct
57 Correct 2 ms 6236 KB Output is correct
58 Correct 2 ms 5980 KB Output is correct
59 Correct 2 ms 5980 KB Output is correct
60 Correct 2 ms 6236 KB Output is correct
61 Correct 2 ms 5976 KB Output is correct
62 Correct 2 ms 6324 KB Output is correct
63 Correct 2 ms 5980 KB Output is correct
64 Correct 111 ms 17640 KB Output is correct
65 Correct 77 ms 17556 KB Output is correct
66 Correct 74 ms 17680 KB Output is correct
67 Correct 73 ms 17548 KB Output is correct
68 Correct 71 ms 17676 KB Output is correct
69 Correct 69 ms 17548 KB Output is correct
70 Correct 75 ms 17588 KB Output is correct
71 Correct 90 ms 17564 KB Output is correct
72 Correct 87 ms 17812 KB Output is correct
73 Correct 108 ms 37804 KB Output is correct
74 Correct 127 ms 37776 KB Output is correct
75 Correct 69 ms 17372 KB Output is correct
76 Correct 89 ms 17560 KB Output is correct
77 Correct 73 ms 17552 KB Output is correct
78 Correct 77 ms 17552 KB Output is correct
79 Correct 79 ms 17464 KB Output is correct
80 Correct 72 ms 17380 KB Output is correct
81 Correct 75 ms 17868 KB Output is correct
82 Correct 110 ms 17728 KB Output is correct
83 Correct 92 ms 25748 KB Output is correct
84 Correct 111 ms 29124 KB Output is correct
85 Correct 100 ms 28676 KB Output is correct
86 Correct 78 ms 19604 KB Output is correct
87 Correct 84 ms 18908 KB Output is correct
88 Correct 74 ms 19152 KB Output is correct
89 Correct 95 ms 19300 KB Output is correct
90 Correct 89 ms 19276 KB Output is correct
91 Correct 74 ms 19340 KB Output is correct
92 Correct 76 ms 19840 KB Output is correct
93 Correct 86 ms 23636 KB Output is correct
94 Correct 81 ms 26568 KB Output is correct
95 Correct 81 ms 24304 KB Output is correct
96 Correct 82 ms 21608 KB Output is correct
97 Correct 74 ms 18944 KB Output is correct
98 Correct 72 ms 18140 KB Output is correct
99 Correct 80 ms 17868 KB Output is correct
100 Correct 83 ms 22904 KB Output is correct
101 Correct 75 ms 19728 KB Output is correct
102 Correct 90 ms 18532 KB Output is correct
103 Correct 77 ms 18068 KB Output is correct
104 Correct 48 ms 18372 KB Output is correct
105 Correct 104 ms 32656 KB Output is correct
106 Correct 56 ms 18376 KB Output is correct
107 Correct 48 ms 18372 KB Output is correct
108 Correct 115 ms 39096 KB Output is correct
109 Correct 48 ms 18328 KB Output is correct
110 Correct 131 ms 39520 KB Output is correct
111 Correct 68 ms 17568 KB Output is correct