oj.uz

Submission #1057928

# Submission time Handle Problem Language Result Execution time Memory
1057928 2024-08-14T07:24:04 Z caterpillow Duathlon (APIO18_duathlon) C++17
100 / 100
 90 ms 48116 KB 
#include <bits/stdc++.h>

using namespace std;

using db = long double;
using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end() 
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;

template<typename... Args> // tuples
ostream& operator<<(ostream& os, tuple<Args...> t) { 
    apply([&](Args... args) { string dlm = "{"; ((os << dlm << args, dlm = ", "), ...); }, t);
    return os << "}";
}

template<typename T, typename V> // pairs
ostream& operator<<(ostream& os, pair<T, V> p) { return os << "{" << p.f << ", " << p.s << "}"; }

template<class T, class = decltype(begin(declval<T>()))> // iterables
typename enable_if<!is_same<T, string>::value, ostream&>::type operator<<(ostream& os, const T& v) {
    string dlm = "{";
    for (auto i : v) os << dlm << i, dlm = ", ";
    return os << "}";  
}

template <typename T, typename... V>
void printer(string pfx, const char *names, T&& head, V&& ...tail) {
    int i = 0;
    while (names[i] && names[i] != ',') i++;
    constexpr bool is_str = is_same_v<decay_t<T>, const char*>;
    if (is_str) cerr << " " << head;
    else cerr << pfx, cerr.write(names, i) << " = " << head; 
    if constexpr (sizeof...(tail)) printer(is_str ? "" : ",", names + i + 1, tail...);
    else cerr << endl;
}

#ifdef LOCAL
#define dbg(...) printer(to_string(__LINE__) + ": ", #__VA_ARGS__, __VA_ARGS__)
#else
#define dbg(x...)
#define cerr if (0) std::cerr
#endif

/*

consider when its *not* possible to find a path between three nodes a, b and c
obv, they need to be in the same connected component
clearly, you can go from a to b, and you can also go from b to c
we just need to account for the condition that you cant use the same node twice

consider the block cut tree
a triple is good as long as a, b, and c belong on the same path, in that order

do subtree dp, counting the # of paths with it as their lca
be very careful, since neighbours in the block cut tree share a node which we must not overcount
when counting for some lca, we exclude the shared node with children

cases:
    - we can take a pair from some subtree (excluding shared) and one from another
    - we can take a node each from two subtrees (excluding shared) and one in the root
    - we can take a pair from a subtree (excluding shared) and one from the root (excluding shared)

    additionally, if the root has sufficient nodes
    - we can take two nodes from the root and some node (excluding shared) in a subtree
    - we can take three nodes from the root

we need to track in our dp:
    - how many unique child nodes there are in the subtree (careful overcounting articulation points)
        - this is size of yourself + dp value of children - # of children
    - how many ordered pairs there are in the subtree that lead to the root EXCLUDING the shared node with the parent
        - sum of pairs of children, and (sum of child sizes excluding shared) * (size of root - 1), and (size - 1) * (size - 2)

sum over all roots

*/

struct BCC {
    int n, t; 
    vt<vt<int>> adj;
    vt<int> tin, low, stk;
    vt<bool> is_art;
    vt<vt<int>> comps;

    void init(int _n) {
        n = _n;
        t = 0;
        adj.resize(n);
        tin = low = vt<int>(n);
        is_art.resize(n);
    }

    void ae(int u, int v) {
        adj[u].pb(v);
        adj[v].pb(u);
    }

    void dfs(int u) {
        tin[u] = low[u] = ++t;
        stk.pb(u);
        for (int v : adj[u]) {
            if (tin[v]) low[u] = min(low[u], tin[v]);
            else {
                dfs(v);
                low[u] = min(low[u], low[v]);
                if (low[v] == tin[u]) {
                    is_art[u] = (u != stk[0]) || tin[v] > tin[u] + 1;
                    comps.pb({u});
                    do {
                        comps.back().pb(stk.back());
                        stk.pop_back();
                    } while (comps.back().back() != v);
                }
            }
        }
    }

    void gen() {
        F0R (i, n) if (!tin[i]) dfs(i);
        for (auto c : comps) dbg(c);
    }
};

int n;
BCC bcc;
vt<vt<int>> adj;
vt<int> id;
vt<ll> sz;
vt<vt<int>> rcomp;

vt<ll> sub, pairs;
vt<bool> seen;
ll ans = 0;

void dfs(int u, int p) {
    seen[u] = true;

    for (int v : adj[u]) if (v != p) dfs(v, u);

    // do the first three cases, since they are shared

    ll available = 0; // # of nodes in children that arent part of the root
    for (int v : adj[u]) {
        if (v == p) continue;
        available += sub[v] - 1; // exclude the shared node
    }

    // case 1
    for (int v : adj[u]) {
        if (v == p) continue;
        ans += pairs[v] * (available - (sub[v] - 1)) * 2;        
    }

    // case 2
    for (int v : adj[u]) {
        if (v == p) continue;
        ans += sz[u] * (sub[v] - 1) * (available - (sub[v] - 1));
    }

    // case 3
    for (int v : adj[u]) {
        if (v == p) continue;
        ans += (sz[u] - 1) * pairs[v] * 2;
    }

    // case 4
    for (int v : adj[u]) {
        if (v == p) continue;
        ans += (sz[u] - 1) * (sub[v] - 1) * 2 + (sz[u] - 1) * (sz[u] - 2) * (sub[v] - 1) * 2;
    }

    // case 5
    ans += sz[u] * (sz[u] - 1) * (sz[u] - 2);

    // calc dp values
    sub[u] = available + sz[u];

    pairs[u] = available * (sz[u] - 1) + (sz[u] - 1) * (sz[u] - 2);
    for (int v : adj[u]) {
        if (v == p) continue;
        pairs[u] += pairs[v];
    }
    dbg("\n", rcomp[u]);
    dbg(ans, sub[u], pairs[u], sz[u]);
}

/*

do subtree dp, counting the # of paths with it as their lca
be very careful, since neighbours in the block cut tree share a node which we must not overcount
when counting for some lca, we exclude the shared node with children

cases:
    - we can take a pair from some subtree (excluding shared) and one from another
    - we can take a node each from two subtrees (excluding shared) and one in the root
    - we can take a pair from a subtree (excluding shared) and one from the root (excluding shared)

    additionally, if the root has sufficient nodes
    - we can take two nodes from the root and some node (excluding shared) in a subtree
        - case 1: includes the shared node
        - case 2: exclues shared node
    - we can take three nodes from the root (any)

we need to track in our dp:
    - how many unique child nodes there are in the subtree (careful overcounting articulation points)
        - this is size of yourself + dp value of children - # of children
    - how many ordered pairs there are in the subtree that lead to the root EXCLUDING the shared node with the parent
        - sum of pairs of children, and (sum of child sizes excluding shared) * (size of root - 1), and (size - 1) * (size - 2)

sum over all roots

*/

main() {
    cin.tie(0)->sync_with_stdio(0);
    
    int _n; cin >> _n;
    bcc.init(_n);
    int m; cin >> m;
    F0R (i, m) {
        int u, v; cin >> u >> v; u--, v--;
        bcc.ae(u, v);
    }
    bcc.gen();

    // build block cut tree
    id.resize(_n);
    F0R (i, _n) {
        if (bcc.is_art[i]) {
            id[i] = n++;
            sz.pb(1);
            adj.pb({});
            rcomp.pb({i});
        }
    }
    for (vt<int>& comp : bcc.comps) {
        adj.pb({});
        sz.pb(size(comp));
        for (int u : comp) {
            if (bcc.is_art[u]) {
                adj[id[u]].pb(n);
                adj[n].pb(id[u]);
            }
        }
        rcomp.pb(comp);
        n++;
    }
    dbg(bcc.is_art);

    // start counting
    dbg(n);
    sub = pairs = vt<ll>(n);

    seen.resize(n);
    F0R (i, n) {
        if (!seen[i]) dfs(i, -1);
    }

    cout << ans << endl;
}

Compilation message

count_triplets.cpp:225:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  225 | main() {
      | ^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 456 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 456 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 604 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 452 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 0 ms 456 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 19144 KB Output is correct
2 Correct 28 ms 19152 KB Output is correct
3 Correct 64 ms 30220 KB Output is correct
4 Correct 38 ms 24276 KB Output is correct
5 Correct 40 ms 24164 KB Output is correct
6 Correct 50 ms 30448 KB Output is correct
7 Correct 50 ms 29748 KB Output is correct
8 Correct 84 ms 30208 KB Output is correct
9 Correct 51 ms 28424 KB Output is correct
10 Correct 72 ms 26372 KB Output is correct
11 Correct 43 ms 23180 KB Output is correct
12 Correct 39 ms 22240 KB Output is correct
13 Correct 36 ms 21816 KB Output is correct
14 Correct 56 ms 22020 KB Output is correct
15 Correct 49 ms 19720 KB Output is correct
16 Correct 37 ms 19208 KB Output is correct
17 Correct 3 ms 4324 KB Output is correct
18 Correct 2 ms 4324 KB Output is correct
19 Correct 3 ms 4352 KB Output is correct
20 Correct 2 ms 4324 KB Output is correct
21 Correct 3 ms 4316 KB Output is correct
22 Correct 2 ms 4316 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 0 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 35648 KB Output is correct
2 Correct 64 ms 33276 KB Output is correct
3 Correct 57 ms 35580 KB Output is correct
4 Correct 73 ms 33660 KB Output is correct
5 Correct 88 ms 34252 KB Output is correct
6 Correct 69 ms 48116 KB Output is correct
7 Correct 73 ms 44280 KB Output is correct
8 Correct 63 ms 43256 KB Output is correct
9 Correct 69 ms 41460 KB Output is correct
10 Correct 56 ms 33536 KB Output is correct
11 Correct 54 ms 33020 KB Output is correct
12 Correct 90 ms 36852 KB Output is correct
13 Correct 58 ms 35328 KB Output is correct
14 Correct 55 ms 32252 KB Output is correct
15 Correct 74 ms 32000 KB Output is correct
16 Correct 35 ms 21508 KB Output is correct
17 Correct 34 ms 27196 KB Output is correct
18 Correct 44 ms 28412 KB Output is correct
19 Correct 35 ms 27460 KB Output is correct
20 Correct 35 ms 27800 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 720 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 0 ms 604 KB Output is correct
17 Correct 1 ms 644 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 36100 KB Output is correct
2 Correct 71 ms 34584 KB Output is correct
3 Correct 90 ms 33620 KB Output is correct
4 Correct 52 ms 26124 KB Output is correct
5 Correct 38 ms 19208 KB Output is correct
6 Correct 36 ms 16248 KB Output is correct
7 Correct 32 ms 14856 KB Output is correct
8 Correct 32 ms 12936 KB Output is correct
9 Correct 41 ms 12060 KB Output is correct
10 Correct 30 ms 11488 KB Output is correct
11 Correct 26 ms 10588 KB Output is correct
12 Correct 38 ms 9708 KB Output is correct
13 Correct 26 ms 9780 KB Output is correct
14 Correct 30 ms 12328 KB Output is correct
15 Correct 61 ms 40528 KB Output is correct
16 Correct 63 ms 39420 KB Output is correct
17 Correct 56 ms 37504 KB Output is correct
18 Correct 61 ms 33032 KB Output is correct
19 Correct 54 ms 25844 KB Output is correct
20 Correct 49 ms 25772 KB Output is correct
21 Correct 49 ms 25776 KB Output is correct
22 Correct 70 ms 24104 KB Output is correct
23 Correct 38 ms 21708 KB Output is correct
24 Correct 46 ms 29768 KB Output is correct
25 Correct 58 ms 30068 KB Output is correct
26 Correct 55 ms 26976 KB Output is correct
27 Correct 79 ms 28420 KB Output is correct

Subtask #8
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 456 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 604 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 452 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 0 ms 456 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 1 ms 604 KB Output is correct
68 Correct 1 ms 604 KB Output is correct
69 Correct 1 ms 468 KB Output is correct
70 Correct 0 ms 604 KB Output is correct
71 Correct 0 ms 604 KB Output is correct
72 Correct 0 ms 604 KB Output is correct
73 Correct 0 ms 604 KB Output is correct
74 Correct 1 ms 456 KB Output is correct
75 Correct 1 ms 604 KB Output is correct
76 Correct 1 ms 348 KB Output is correct
77 Correct 1 ms 716 KB Output is correct
78 Correct 1 ms 644 KB Output is correct
79 Correct 1 ms 348 KB Output is correct
80 Correct 0 ms 348 KB Output is correct
81 Correct 0 ms 460 KB Output is correct
82 Correct 1 ms 604 KB Output is correct
83 Correct 1 ms 604 KB Output is correct
84 Correct 1 ms 604 KB Output is correct
85 Correct 0 ms 604 KB Output is correct
86 Correct 1 ms 604 KB Output is correct
87 Correct 1 ms 604 KB Output is correct
88 Correct 1 ms 604 KB Output is correct
89 Correct 1 ms 604 KB Output is correct
90 Correct 1 ms 604 KB Output is correct
91 Correct 0 ms 604 KB Output is correct
92 Correct 0 ms 604 KB Output is correct

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 604 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 456 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 604 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 452 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 0 ms 456 KB Output is correct
66 Correct 38 ms 19144 KB Output is correct
67 Correct 28 ms 19152 KB Output is correct
68 Correct 64 ms 30220 KB Output is correct
69 Correct 38 ms 24276 KB Output is correct
70 Correct 40 ms 24164 KB Output is correct
71 Correct 50 ms 30448 KB Output is correct
72 Correct 50 ms 29748 KB Output is correct
73 Correct 84 ms 30208 KB Output is correct
74 Correct 51 ms 28424 KB Output is correct
75 Correct 72 ms 26372 KB Output is correct
76 Correct 43 ms 23180 KB Output is correct
77 Correct 39 ms 22240 KB Output is correct
78 Correct 36 ms 21816 KB Output is correct
79 Correct 56 ms 22020 KB Output is correct
80 Correct 49 ms 19720 KB Output is correct
81 Correct 37 ms 19208 KB Output is correct
82 Correct 3 ms 4324 KB Output is correct
83 Correct 2 ms 4324 KB Output is correct
84 Correct 3 ms 4352 KB Output is correct
85 Correct 2 ms 4324 KB Output is correct
86 Correct 3 ms 4316 KB Output is correct
87 Correct 2 ms 4316 KB Output is correct
88 Correct 1 ms 600 KB Output is correct
89 Correct 1 ms 604 KB Output is correct
90 Correct 1 ms 604 KB Output is correct
91 Correct 2 ms 860 KB Output is correct
92 Correct 1 ms 860 KB Output is correct
93 Correct 1 ms 860 KB Output is correct
94 Correct 1 ms 860 KB Output is correct
95 Correct 1 ms 860 KB Output is correct
96 Correct 1 ms 604 KB Output is correct
97 Correct 1 ms 604 KB Output is correct
98 Correct 1 ms 604 KB Output is correct
99 Correct 1 ms 604 KB Output is correct
100 Correct 1 ms 604 KB Output is correct
101 Correct 1 ms 604 KB Output is correct
102 Correct 0 ms 604 KB Output is correct
103 Correct 1 ms 604 KB Output is correct
104 Correct 1 ms 604 KB Output is correct
105 Correct 1 ms 604 KB Output is correct
106 Correct 0 ms 604 KB Output is correct
107 Correct 1 ms 604 KB Output is correct
108 Correct 56 ms 35648 KB Output is correct
109 Correct 64 ms 33276 KB Output is correct
110 Correct 57 ms 35580 KB Output is correct
111 Correct 73 ms 33660 KB Output is correct
112 Correct 88 ms 34252 KB Output is correct
113 Correct 69 ms 48116 KB Output is correct
114 Correct 73 ms 44280 KB Output is correct
115 Correct 63 ms 43256 KB Output is correct
116 Correct 69 ms 41460 KB Output is correct
117 Correct 56 ms 33536 KB Output is correct
118 Correct 54 ms 33020 KB Output is correct
119 Correct 90 ms 36852 KB Output is correct
120 Correct 58 ms 35328 KB Output is correct
121 Correct 55 ms 32252 KB Output is correct
122 Correct 74 ms 32000 KB Output is correct
123 Correct 35 ms 21508 KB Output is correct
124 Correct 34 ms 27196 KB Output is correct
125 Correct 44 ms 28412 KB Output is correct
126 Correct 35 ms 27460 KB Output is correct
127 Correct 35 ms 27800 KB Output is correct
128 Correct 1 ms 600 KB Output is correct
129 Correct 1 ms 604 KB Output is correct
130 Correct 1 ms 604 KB Output is correct
131 Correct 1 ms 604 KB Output is correct
132 Correct 1 ms 604 KB Output is correct
133 Correct 1 ms 604 KB Output is correct
134 Correct 1 ms 604 KB Output is correct
135 Correct 1 ms 604 KB Output is correct
136 Correct 1 ms 348 KB Output is correct
137 Correct 0 ms 348 KB Output is correct
138 Correct 1 ms 348 KB Output is correct
139 Correct 1 ms 720 KB Output is correct
140 Correct 1 ms 604 KB Output is correct
141 Correct 1 ms 604 KB Output is correct
142 Correct 1 ms 856 KB Output is correct
143 Correct 0 ms 604 KB Output is correct
144 Correct 1 ms 644 KB Output is correct
145 Correct 0 ms 604 KB Output is correct
146 Correct 1 ms 604 KB Output is correct
147 Correct 1 ms 604 KB Output is correct
148 Correct 1 ms 604 KB Output is correct
149 Correct 1 ms 604 KB Output is correct
150 Correct 1 ms 604 KB Output is correct
151 Correct 1 ms 604 KB Output is correct
152 Correct 0 ms 348 KB Output is correct
153 Correct 0 ms 348 KB Output is correct
154 Correct 0 ms 348 KB Output is correct
155 Correct 58 ms 36100 KB Output is correct
156 Correct 71 ms 34584 KB Output is correct
157 Correct 90 ms 33620 KB Output is correct
158 Correct 52 ms 26124 KB Output is correct
159 Correct 38 ms 19208 KB Output is correct
160 Correct 36 ms 16248 KB Output is correct
161 Correct 32 ms 14856 KB Output is correct
162 Correct 32 ms 12936 KB Output is correct
163 Correct 41 ms 12060 KB Output is correct
164 Correct 30 ms 11488 KB Output is correct
165 Correct 26 ms 10588 KB Output is correct
166 Correct 38 ms 9708 KB Output is correct
167 Correct 26 ms 9780 KB Output is correct
168 Correct 30 ms 12328 KB Output is correct
169 Correct 61 ms 40528 KB Output is correct
170 Correct 63 ms 39420 KB Output is correct
171 Correct 56 ms 37504 KB Output is correct
172 Correct 61 ms 33032 KB Output is correct
173 Correct 54 ms 25844 KB Output is correct
174 Correct 49 ms 25772 KB Output is correct
175 Correct 49 ms 25776 KB Output is correct
176 Correct 70 ms 24104 KB Output is correct
177 Correct 38 ms 21708 KB Output is correct
178 Correct 46 ms 29768 KB Output is correct
179 Correct 58 ms 30068 KB Output is correct
180 Correct 55 ms 26976 KB Output is correct
181 Correct 79 ms 28420 KB Output is correct
182 Correct 1 ms 348 KB Output is correct
183 Correct 1 ms 604 KB Output is correct
184 Correct 1 ms 604 KB Output is correct
185 Correct 1 ms 468 KB Output is correct
186 Correct 0 ms 604 KB Output is correct
187 Correct 0 ms 604 KB Output is correct
188 Correct 0 ms 604 KB Output is correct
189 Correct 0 ms 604 KB Output is correct
190 Correct 1 ms 456 KB Output is correct
191 Correct 1 ms 604 KB Output is correct
192 Correct 1 ms 348 KB Output is correct
193 Correct 1 ms 716 KB Output is correct
194 Correct 1 ms 644 KB Output is correct
195 Correct 1 ms 348 KB Output is correct
196 Correct 0 ms 348 KB Output is correct
197 Correct 0 ms 460 KB Output is correct
198 Correct 1 ms 604 KB Output is correct
199 Correct 1 ms 604 KB Output is correct
200 Correct 1 ms 604 KB Output is correct
201 Correct 0 ms 604 KB Output is correct
202 Correct 1 ms 604 KB Output is correct
203 Correct 1 ms 604 KB Output is correct
204 Correct 1 ms 604 KB Output is correct
205 Correct 1 ms 604 KB Output is correct
206 Correct 1 ms 604 KB Output is correct
207 Correct 0 ms 604 KB Output is correct
208 Correct 0 ms 604 KB Output is correct
209 Correct 2 ms 4316 KB Output is correct
210 Correct 35 ms 21316 KB Output is correct
211 Correct 46 ms 24400 KB Output is correct
212 Correct 50 ms 20588 KB Output is correct
213 Correct 76 ms 20340 KB Output is correct
214 Correct 55 ms 21288 KB Output is correct
215 Correct 30 ms 17924 KB Output is correct
216 Correct 48 ms 28164 KB Output is correct
217 Correct 42 ms 19464 KB Output is correct
218 Correct 36 ms 12800 KB Output is correct
219 Correct 27 ms 11252 KB Output is correct
220 Correct 24 ms 10332 KB Output is correct
221 Correct 23 ms 9596 KB Output is correct
222 Correct 22 ms 11040 KB Output is correct
223 Correct 48 ms 24836 KB Output is correct
224 Correct 48 ms 23808 KB Output is correct
225 Correct 46 ms 17868 KB Output is correct
226 Correct 40 ms 18060 KB Output is correct
227 Correct 43 ms 17924 KB Output is correct
228 Correct 38 ms 17668 KB Output is correct
229 Correct 53 ms 16900 KB Output is correct
230 Correct 39 ms 17160 KB Output is correct
231 Correct 60 ms 17160 KB Output is correct