oj.uz

Submission #292887

# Submission time Handle Problem Language Result Execution time Memory
292887 2020-09-07T14:36:49 Z limabeans Power Plant (JOI20_power) C++17
100 / 100
 427 ms 51896 KB 
#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;

const ll mod = 1e9+7;
const int maxn = 200000 + 100;

// Assume answer is rooted at node and join the children, test all nodes via re-rooting trick.
// Key observation: a node's contribution upwards is either itself, or disjoint children in it's subtrees.

int n;
vector<int> g[maxn];
string s;

struct vec {
    multiset<int> ms;
    int tot=0;
    void insert(int x) {
	ms.insert(x);
	tot += x;
    }
    void erase(int x) {
	ms.erase(ms.find(x));
	tot -= x;
    }
    int sum() {
	return tot;
    }
    bool empty() {
	return ms.empty();
    }
    int max() {
	return *ms.rbegin();
    }
};

vec dp[maxn];
int cache[maxn];

int dfs(int at, int p) {
    for (int to: g[at]) {
	if (to==p) continue;
	int rec=dfs(to,at);
	if (rec>0) {
	    dp[at].insert(rec);
	}
    }
    int res=int(s[at]-'0'); // self
    if (!dp[at].empty()) {
	res=max(res, dp[at].sum()-int(s[at]-'0'));
    }
    return cache[at]=res;
}

int best=0;
void solve(int at, int p) {
    // compute subtree[at]
    int cur = int(s[at]-'0');
    if (!dp[at].empty()) {
	if (s[at]=='1') {
	    best = max(best, 1+dp[at].max());
	}
	cur = max(cur, dp[at].sum()-int(s[at]-'0'));
    }

    best = max(best, cur);
    

    ////////////////////////////////

    for (int to: g[at]) {
	if (to != p) {
	    if (cache[to]) {
		dp[at].erase(cache[to]);
	    }
	    int fromP = int(s[at]-'0');
	    
	    if (!dp[at].empty()) {
		fromP = max(fromP, dp[at].sum()-int(s[at]-'0'));
	    }
	    //cout<<at+1<<"->"<<to+1<<": "<<fromP<<endl;
	    
	    dp[to].insert(fromP);
	    solve(to, at);
	    dp[to].erase(fromP);

	    
	    if (cache[to]) {
		dp[at].insert(cache[to]);
	    }
	}
    }

}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    cin>>n;
    for (int i=0; i<n-1; i++) {
	int u,v; cin>>u>>v;
	--u; --v;
	g[u].push_back(v);
	g[v].push_back(u);
    }
    
    cin>>s;
    dfs(0,-1);
    solve(0,-1);
    cout<<best<<endl;    
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16000 KB Output is correct
2 Correct 11 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16000 KB Output is correct
5 Correct 11 ms 16000 KB Output is correct
6 Correct 11 ms 16000 KB Output is correct
7 Correct 12 ms 16000 KB Output is correct
8 Correct 12 ms 16000 KB Output is correct
9 Correct 12 ms 16000 KB Output is correct
10 Correct 11 ms 16000 KB Output is correct
11 Correct 11 ms 16000 KB Output is correct
12 Correct 11 ms 16000 KB Output is correct
13 Correct 11 ms 16000 KB Output is correct
14 Correct 11 ms 16000 KB Output is correct
15 Correct 11 ms 16000 KB Output is correct
16 Correct 11 ms 16000 KB Output is correct
17 Correct 11 ms 16000 KB Output is correct
18 Correct 11 ms 16000 KB Output is correct
19 Correct 12 ms 16000 KB Output is correct
20 Correct 11 ms 16000 KB Output is correct
21 Correct 11 ms 16000 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16000 KB Output is correct
2 Correct 11 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16000 KB Output is correct
5 Correct 11 ms 16000 KB Output is correct
6 Correct 11 ms 16000 KB Output is correct
7 Correct 12 ms 16000 KB Output is correct
8 Correct 12 ms 16000 KB Output is correct
9 Correct 12 ms 16000 KB Output is correct
10 Correct 11 ms 16000 KB Output is correct
11 Correct 11 ms 16000 KB Output is correct
12 Correct 11 ms 16000 KB Output is correct
13 Correct 11 ms 16000 KB Output is correct
14 Correct 11 ms 16000 KB Output is correct
15 Correct 11 ms 16000 KB Output is correct
16 Correct 11 ms 16000 KB Output is correct
17 Correct 11 ms 16000 KB Output is correct
18 Correct 11 ms 16000 KB Output is correct
19 Correct 12 ms 16000 KB Output is correct
20 Correct 11 ms 16000 KB Output is correct
21 Correct 11 ms 16000 KB Output is correct
22 Correct 12 ms 16256 KB Output is correct
23 Correct 12 ms 16128 KB Output is correct
24 Correct 13 ms 16128 KB Output is correct
25 Correct 12 ms 16128 KB Output is correct
26 Correct 12 ms 16128 KB Output is correct
27 Correct 12 ms 16128 KB Output is correct
28 Correct 12 ms 16128 KB Output is correct
29 Correct 12 ms 16384 KB Output is correct
30 Correct 13 ms 16256 KB Output is correct
31 Correct 13 ms 16128 KB Output is correct
32 Correct 12 ms 16128 KB Output is correct
33 Correct 12 ms 16128 KB Output is correct
34 Correct 12 ms 16128 KB Output is correct
35 Correct 12 ms 16128 KB Output is correct
36 Correct 12 ms 16128 KB Output is correct
37 Correct 13 ms 16128 KB Output is correct
38 Correct 12 ms 16128 KB Output is correct
39 Correct 13 ms 16256 KB Output is correct
40 Correct 12 ms 16256 KB Output is correct
41 Correct 12 ms 16256 KB Output is correct
42 Correct 12 ms 16128 KB Output is correct
43 Correct 12 ms 16128 KB Output is correct
44 Correct 13 ms 16256 KB Output is correct
45 Correct 13 ms 16128 KB Output is correct
46 Correct 12 ms 16256 KB Output is correct
47 Correct 12 ms 16128 KB Output is correct
48 Correct 13 ms 16256 KB Output is correct
49 Correct 12 ms 16256 KB Output is correct
50 Correct 12 ms 16256 KB Output is correct
51 Correct 12 ms 16256 KB Output is correct
52 Correct 14 ms 16128 KB Output is correct
53 Correct 12 ms 16128 KB Output is correct
54 Correct 13 ms 16256 KB Output is correct
55 Correct 13 ms 16128 KB Output is correct
56 Correct 12 ms 16128 KB Output is correct
57 Correct 13 ms 16384 KB Output is correct
58 Correct 12 ms 16160 KB Output is correct
59 Correct 15 ms 16128 KB Output is correct
60 Correct 12 ms 16256 KB Output is correct
61 Correct 12 ms 16128 KB Output is correct
62 Correct 12 ms 16256 KB Output is correct
63 Correct 12 ms 16128 KB Output is correct

Subtask #3
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16000 KB Output is correct
2 Correct 11 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16000 KB Output is correct
5 Correct 11 ms 16000 KB Output is correct
6 Correct 11 ms 16000 KB Output is correct
7 Correct 12 ms 16000 KB Output is correct
8 Correct 12 ms 16000 KB Output is correct
9 Correct 12 ms 16000 KB Output is correct
10 Correct 11 ms 16000 KB Output is correct
11 Correct 11 ms 16000 KB Output is correct
12 Correct 11 ms 16000 KB Output is correct
13 Correct 11 ms 16000 KB Output is correct
14 Correct 11 ms 16000 KB Output is correct
15 Correct 11 ms 16000 KB Output is correct
16 Correct 11 ms 16000 KB Output is correct
17 Correct 11 ms 16000 KB Output is correct
18 Correct 11 ms 16000 KB Output is correct
19 Correct 12 ms 16000 KB Output is correct
20 Correct 11 ms 16000 KB Output is correct
21 Correct 11 ms 16000 KB Output is correct
22 Correct 12 ms 16256 KB Output is correct
23 Correct 12 ms 16128 KB Output is correct
24 Correct 13 ms 16128 KB Output is correct
25 Correct 12 ms 16128 KB Output is correct
26 Correct 12 ms 16128 KB Output is correct
27 Correct 12 ms 16128 KB Output is correct
28 Correct 12 ms 16128 KB Output is correct
29 Correct 12 ms 16384 KB Output is correct
30 Correct 13 ms 16256 KB Output is correct
31 Correct 13 ms 16128 KB Output is correct
32 Correct 12 ms 16128 KB Output is correct
33 Correct 12 ms 16128 KB Output is correct
34 Correct 12 ms 16128 KB Output is correct
35 Correct 12 ms 16128 KB Output is correct
36 Correct 12 ms 16128 KB Output is correct
37 Correct 13 ms 16128 KB Output is correct
38 Correct 12 ms 16128 KB Output is correct
39 Correct 13 ms 16256 KB Output is correct
40 Correct 12 ms 16256 KB Output is correct
41 Correct 12 ms 16256 KB Output is correct
42 Correct 12 ms 16128 KB Output is correct
43 Correct 12 ms 16128 KB Output is correct
44 Correct 13 ms 16256 KB Output is correct
45 Correct 13 ms 16128 KB Output is correct
46 Correct 12 ms 16256 KB Output is correct
47 Correct 12 ms 16128 KB Output is correct
48 Correct 13 ms 16256 KB Output is correct
49 Correct 12 ms 16256 KB Output is correct
50 Correct 12 ms 16256 KB Output is correct
51 Correct 12 ms 16256 KB Output is correct
52 Correct 14 ms 16128 KB Output is correct
53 Correct 12 ms 16128 KB Output is correct
54 Correct 13 ms 16256 KB Output is correct
55 Correct 13 ms 16128 KB Output is correct
56 Correct 12 ms 16128 KB Output is correct
57 Correct 13 ms 16384 KB Output is correct
58 Correct 12 ms 16160 KB Output is correct
59 Correct 15 ms 16128 KB Output is correct
60 Correct 12 ms 16256 KB Output is correct
61 Correct 12 ms 16128 KB Output is correct
62 Correct 12 ms 16256 KB Output is correct
63 Correct 12 ms 16128 KB Output is correct
64 Correct 347 ms 32824 KB Output is correct
65 Correct 344 ms 32824 KB Output is correct
66 Correct 362 ms 32836 KB Output is correct
67 Correct 363 ms 32696 KB Output is correct
68 Correct 341 ms 30372 KB Output is correct
69 Correct 322 ms 27336 KB Output is correct
70 Correct 284 ms 25124 KB Output is correct
71 Correct 278 ms 24184 KB Output is correct
72 Correct 273 ms 23544 KB Output is correct
73 Correct 413 ms 50616 KB Output is correct
74 Correct 419 ms 50360 KB Output is correct
75 Correct 356 ms 32696 KB Output is correct
76 Correct 337 ms 30096 KB Output is correct
77 Correct 351 ms 31924 KB Output is correct
78 Correct 351 ms 30776 KB Output is correct
79 Correct 340 ms 28992 KB Output is correct
80 Correct 307 ms 25784 KB Output is correct
81 Correct 322 ms 31480 KB Output is correct
82 Correct 350 ms 30012 KB Output is correct
83 Correct 393 ms 39996 KB Output is correct
84 Correct 387 ms 41032 KB Output is correct
85 Correct 376 ms 39632 KB Output is correct
86 Correct 350 ms 32184 KB Output is correct
87 Correct 316 ms 27680 KB Output is correct
88 Correct 375 ms 34164 KB Output is correct
89 Correct 356 ms 33736 KB Output is correct
90 Correct 343 ms 32796 KB Output is correct
91 Correct 332 ms 31956 KB Output is correct
92 Correct 312 ms 31144 KB Output is correct
93 Correct 378 ms 38312 KB Output is correct
94 Correct 360 ms 40688 KB Output is correct
95 Correct 352 ms 38768 KB Output is correct
96 Correct 386 ms 36152 KB Output is correct
97 Correct 334 ms 34052 KB Output is correct
98 Correct 343 ms 33528 KB Output is correct
99 Correct 340 ms 33204 KB Output is correct
100 Correct 385 ms 37056 KB Output is correct
101 Correct 371 ms 34688 KB Output is correct
102 Correct 348 ms 33536 KB Output is correct
103 Correct 336 ms 33112 KB Output is correct
104 Correct 161 ms 24296 KB Output is correct
105 Correct 363 ms 46036 KB Output is correct
106 Correct 311 ms 33464 KB Output is correct
107 Correct 290 ms 33588 KB Output is correct
108 Correct 427 ms 51640 KB Output is correct
109 Correct 173 ms 24296 KB Output is correct
110 Correct 380 ms 51896 KB Output is correct
111 Correct 357 ms 32648 KB Output is correct