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Submission #518755

# Submission time Handle Problem Language Result Execution time Memory
518755 2022-01-24T14:34:47 Z cig32 Power Plant (JOI20_power) C++17
100 / 100
 305 ms 79132 KB 
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
const int MAXN = 3e5 + 10;
const int MOD = 1e9 + 7;
#define int long long
 
vector<int> adj[MAXN];
char c[MAXN];
int dp[MAXN];
int s[MAXN], m[MAXN];
int dpf(int node, int prev) {
  int sum = 0, mx = 0;
  for(int x: adj[node]) {
    if(x != prev) {
      int d = dpf(x, node);
      sum += d;
      mx = max(mx, d);
    }
  }
  s[node] = sum;
  m[node] = mx;
  if(prev == -1 && c[node] == '1') {
    return dp[node] = max(mx + 1, sum - 1);
  }
  if(prev == -1 && c[node] == '0') {
    return dp[node] = sum;
  }
  if(c[node] == '1') {
    return dp[node] = max(1ll, sum - 1);
  }
  else {
    return dp[node] = sum;
  }
}
int ans = 0;

void dfs(int node, int prev) {
  ans = max(ans, dp[node]); 
  vector<int> v;
  for(int x: adj[node]) {
    if(x != prev) v.push_back(dp[x]);
  }
  int w = v.size();
  vector<int> pmax, smax;
  pmax.resize(w);
  smax.resize(w);
  if(w) pmax[0] = v[0], smax[w-1] = v[w-1];
  for(int i=1; i<w; i++) pmax[i] = max(pmax[i-1], v[i]);
  for(int i=w-2; i>=0; i--) smax[i] = max(smax[i+1], v[i]);
  int id = 0;
  for(int x: adj[node]) {
    if(x != prev) {
      int sto1, sto2, sto3, sto4, sto5, sto6;
      sto1 = s[node], sto2 = m[node], sto3 = dp[node];
      sto4 = s[x], sto5 = m[x], sto6 = dp[x];
      //reroot node -> x
      s[node] -= dp[x];
      m[node] = max((id == 0 ? 0 : pmax[id-1]), (id == w-1 ? 0 : smax[id+1]));
      dp[node] = (c[node] == '1' ? max(1ll, s[node] - 1) : s[node]);
      s[x] += dp[node];
      m[x] = max(m[x], dp[node]);
      dp[x] = (c[x] == '1' ? max(m[x] + 1, s[x] - 1) : s[x]);
      dfs(x, node);
      //reroot x -> node
      s[node] = sto1, m[node] = sto2, dp[node] = sto3;
      s[x] = sto4, m[x] = sto5, dp[x] = sto6;
      id++;
    }
  }
}
void solve(int tc) {
  int N;
  cin >> N;
  for(int i=1; i<N; i++) {
    int a, b;
    cin >> a >> b;
    adj[a].push_back(b);
    adj[b].push_back(a);
  }
  if(N == 1) {
    cout << "1\n"; return;
  }
  for(int i=1; i<=N; i++) cin >> c[i];
  dpf(1, -1);
  dfs(1, -1);
  cout << ans << "\n";
}
 
int32_t main(){
  ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; //cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7244 KB Output is correct
2 Correct 5 ms 7372 KB Output is correct
3 Correct 4 ms 7372 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7372 KB Output is correct
6 Correct 5 ms 7372 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct
8 Correct 5 ms 7372 KB Output is correct
9 Correct 4 ms 7372 KB Output is correct
10 Correct 6 ms 7348 KB Output is correct
11 Correct 4 ms 7372 KB Output is correct
12 Correct 4 ms 7372 KB Output is correct
13 Correct 4 ms 7372 KB Output is correct
14 Correct 5 ms 7372 KB Output is correct
15 Correct 5 ms 7300 KB Output is correct
16 Correct 4 ms 7372 KB Output is correct
17 Correct 4 ms 7372 KB Output is correct
18 Correct 4 ms 7268 KB Output is correct
19 Correct 4 ms 7304 KB Output is correct
20 Correct 4 ms 7372 KB Output is correct
21 Correct 5 ms 7360 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7244 KB Output is correct
2 Correct 5 ms 7372 KB Output is correct
3 Correct 4 ms 7372 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7372 KB Output is correct
6 Correct 5 ms 7372 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct
8 Correct 5 ms 7372 KB Output is correct
9 Correct 4 ms 7372 KB Output is correct
10 Correct 6 ms 7348 KB Output is correct
11 Correct 4 ms 7372 KB Output is correct
12 Correct 4 ms 7372 KB Output is correct
13 Correct 4 ms 7372 KB Output is correct
14 Correct 5 ms 7372 KB Output is correct
15 Correct 5 ms 7300 KB Output is correct
16 Correct 4 ms 7372 KB Output is correct
17 Correct 4 ms 7372 KB Output is correct
18 Correct 4 ms 7268 KB Output is correct
19 Correct 4 ms 7304 KB Output is correct
20 Correct 4 ms 7372 KB Output is correct
21 Correct 5 ms 7360 KB Output is correct
22 Correct 6 ms 7504 KB Output is correct
23 Correct 5 ms 7528 KB Output is correct
24 Correct 6 ms 7504 KB Output is correct
25 Correct 5 ms 7412 KB Output is correct
26 Correct 5 ms 7500 KB Output is correct
27 Correct 5 ms 7500 KB Output is correct
28 Correct 5 ms 7500 KB Output is correct
29 Correct 6 ms 8000 KB Output is correct
30 Correct 6 ms 7884 KB Output is correct
31 Correct 5 ms 7504 KB Output is correct
32 Correct 6 ms 7508 KB Output is correct
33 Correct 5 ms 7500 KB Output is correct
34 Correct 6 ms 7504 KB Output is correct
35 Correct 5 ms 7504 KB Output is correct
36 Correct 5 ms 7504 KB Output is correct
37 Correct 6 ms 7508 KB Output is correct
38 Correct 6 ms 7484 KB Output is correct
39 Correct 5 ms 7768 KB Output is correct
40 Correct 5 ms 7628 KB Output is correct
41 Correct 6 ms 7756 KB Output is correct
42 Correct 5 ms 7616 KB Output is correct
43 Correct 5 ms 7500 KB Output is correct
44 Correct 6 ms 7636 KB Output is correct
45 Correct 6 ms 7628 KB Output is correct
46 Correct 6 ms 7500 KB Output is correct
47 Correct 5 ms 7496 KB Output is correct
48 Correct 5 ms 7792 KB Output is correct
49 Correct 7 ms 7756 KB Output is correct
50 Correct 5 ms 7628 KB Output is correct
51 Correct 5 ms 7628 KB Output is correct
52 Correct 5 ms 7500 KB Output is correct
53 Correct 5 ms 7636 KB Output is correct
54 Correct 5 ms 7564 KB Output is correct
55 Correct 7 ms 7628 KB Output is correct
56 Correct 8 ms 7684 KB Output is correct
57 Correct 6 ms 8016 KB Output is correct
58 Correct 6 ms 7504 KB Output is correct
59 Correct 6 ms 7512 KB Output is correct
60 Correct 6 ms 7756 KB Output is correct
61 Correct 5 ms 7500 KB Output is correct
62 Correct 6 ms 7884 KB Output is correct
63 Correct 5 ms 7424 KB Output is correct

Subtask #3
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7244 KB Output is correct
2 Correct 5 ms 7372 KB Output is correct
3 Correct 4 ms 7372 KB Output is correct
4 Correct 5 ms 7372 KB Output is correct
5 Correct 4 ms 7372 KB Output is correct
6 Correct 5 ms 7372 KB Output is correct
7 Correct 4 ms 7372 KB Output is correct
8 Correct 5 ms 7372 KB Output is correct
9 Correct 4 ms 7372 KB Output is correct
10 Correct 6 ms 7348 KB Output is correct
11 Correct 4 ms 7372 KB Output is correct
12 Correct 4 ms 7372 KB Output is correct
13 Correct 4 ms 7372 KB Output is correct
14 Correct 5 ms 7372 KB Output is correct
15 Correct 5 ms 7300 KB Output is correct
16 Correct 4 ms 7372 KB Output is correct
17 Correct 4 ms 7372 KB Output is correct
18 Correct 4 ms 7268 KB Output is correct
19 Correct 4 ms 7304 KB Output is correct
20 Correct 4 ms 7372 KB Output is correct
21 Correct 5 ms 7360 KB Output is correct
22 Correct 6 ms 7504 KB Output is correct
23 Correct 5 ms 7528 KB Output is correct
24 Correct 6 ms 7504 KB Output is correct
25 Correct 5 ms 7412 KB Output is correct
26 Correct 5 ms 7500 KB Output is correct
27 Correct 5 ms 7500 KB Output is correct
28 Correct 5 ms 7500 KB Output is correct
29 Correct 6 ms 8000 KB Output is correct
30 Correct 6 ms 7884 KB Output is correct
31 Correct 5 ms 7504 KB Output is correct
32 Correct 6 ms 7508 KB Output is correct
33 Correct 5 ms 7500 KB Output is correct
34 Correct 6 ms 7504 KB Output is correct
35 Correct 5 ms 7504 KB Output is correct
36 Correct 5 ms 7504 KB Output is correct
37 Correct 6 ms 7508 KB Output is correct
38 Correct 6 ms 7484 KB Output is correct
39 Correct 5 ms 7768 KB Output is correct
40 Correct 5 ms 7628 KB Output is correct
41 Correct 6 ms 7756 KB Output is correct
42 Correct 5 ms 7616 KB Output is correct
43 Correct 5 ms 7500 KB Output is correct
44 Correct 6 ms 7636 KB Output is correct
45 Correct 6 ms 7628 KB Output is correct
46 Correct 6 ms 7500 KB Output is correct
47 Correct 5 ms 7496 KB Output is correct
48 Correct 5 ms 7792 KB Output is correct
49 Correct 7 ms 7756 KB Output is correct
50 Correct 5 ms 7628 KB Output is correct
51 Correct 5 ms 7628 KB Output is correct
52 Correct 5 ms 7500 KB Output is correct
53 Correct 5 ms 7636 KB Output is correct
54 Correct 5 ms 7564 KB Output is correct
55 Correct 7 ms 7628 KB Output is correct
56 Correct 8 ms 7684 KB Output is correct
57 Correct 6 ms 8016 KB Output is correct
58 Correct 6 ms 7504 KB Output is correct
59 Correct 6 ms 7512 KB Output is correct
60 Correct 6 ms 7756 KB Output is correct
61 Correct 5 ms 7500 KB Output is correct
62 Correct 6 ms 7884 KB Output is correct
63 Correct 5 ms 7424 KB Output is correct
64 Correct 201 ms 20940 KB Output is correct
65 Correct 205 ms 21028 KB Output is correct
66 Correct 205 ms 21116 KB Output is correct
67 Correct 188 ms 20996 KB Output is correct
68 Correct 195 ms 21092 KB Output is correct
69 Correct 221 ms 21064 KB Output is correct
70 Correct 203 ms 21032 KB Output is correct
71 Correct 194 ms 21224 KB Output is correct
72 Correct 197 ms 21092 KB Output is correct
73 Correct 279 ms 73388 KB Output is correct
74 Correct 292 ms 73028 KB Output is correct
75 Correct 186 ms 22332 KB Output is correct
76 Correct 225 ms 22324 KB Output is correct
77 Correct 203 ms 21016 KB Output is correct
78 Correct 211 ms 21088 KB Output is correct
79 Correct 216 ms 20908 KB Output is correct
80 Correct 200 ms 20944 KB Output is correct
81 Correct 157 ms 23508 KB Output is correct
82 Correct 165 ms 23488 KB Output is correct
83 Correct 225 ms 43992 KB Output is correct
84 Correct 240 ms 53060 KB Output is correct
85 Correct 232 ms 51744 KB Output is correct
86 Correct 208 ms 28124 KB Output is correct
87 Correct 212 ms 25724 KB Output is correct
88 Correct 202 ms 25560 KB Output is correct
89 Correct 183 ms 25588 KB Output is correct
90 Correct 189 ms 24708 KB Output is correct
91 Correct 201 ms 25700 KB Output is correct
92 Correct 186 ms 27320 KB Output is correct
93 Correct 189 ms 39528 KB Output is correct
94 Correct 189 ms 44836 KB Output is correct
95 Correct 190 ms 40176 KB Output is correct
96 Correct 197 ms 32120 KB Output is correct
97 Correct 179 ms 25208 KB Output is correct
98 Correct 167 ms 22796 KB Output is correct
99 Correct 184 ms 22444 KB Output is correct
100 Correct 208 ms 36564 KB Output is correct
101 Correct 194 ms 27464 KB Output is correct
102 Correct 174 ms 23740 KB Output is correct
103 Correct 182 ms 22872 KB Output is correct
104 Correct 95 ms 27736 KB Output is correct
105 Correct 259 ms 61192 KB Output is correct
106 Correct 93 ms 27452 KB Output is correct
107 Correct 99 ms 27508 KB Output is correct
108 Correct 305 ms 77864 KB Output is correct
109 Correct 110 ms 27712 KB Output is correct
110 Correct 254 ms 79132 KB Output is correct
111 Correct 162 ms 22280 KB Output is correct