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Submission #1044366

# Submission time Handle Problem Language Result Execution time Memory
1044366 2024-08-05T09:04:17 Z 정민찬(#11007) Team Coding (EGOI24_teamcoding) C++17
31 / 100
 152 ms 126768 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;

const ll B = 250;

struct mySet{
    map<ll,ll> sub;
    deque<ll> dq;
    ll sz = 0;
};

mySet st[100010];
ll id[100010];
vector<ll> g[100010];
ll dep[100010];
ll l[100010];
ll par[100010];
vector<pair<ll,ll>> vec[100010];
map<ll,ll> cnt[100010];
vector<ll> large;
ll down[100010];

void Merge(mySet &u, mySet &v, ll cdep) {
    while (u.dq.size() < v.dq.size()) {
        if (vec[cdep + u.dq.size()].size() < B) {
            for (auto &[k, col] : vec[cdep + u.dq.size()]) {
                u.sub[col] += k;
            }
        }
        u.dq.push_back(0);
    }
    for (ll i=0; i<v.dq.size(); i++) {
        if (vec[cdep + i].size() < B) {
            for (auto &[k, col] : vec[cdep + i]) {
                if (k > u.dq[i]) {
                    u.sub[col] -= k - u.dq[i];
                }
            }
        }
        u.dq[i] += v.dq[i];
        if (vec[cdep + i].size() < B) {
            for (auto &[k, col] : vec[cdep + i]) {
                if (k > u.dq[i]) {
                    // sub.find()
                    u.sub[col] += k - u.dq[i];
                }
            }
        }
    }
    u.sz += v.sz;
}

ll pv;
ll chk[100010];
ll ans[100010];
ll tme[100010];
ll poss[100010];

ll dfs(ll x) {
    if (g[x].empty()) {
        id[x] = pv ++;
        st[id[x]].dq.push_back(1);
        st[id[x]].sz = 1;
        if (vec[dep[x]].size() < B) {
            for (auto &[i, col] : vec[dep[x]]) {
                if (i > 1) {
                    st[id[x]].sub[col] += i - 1;
                }
            }
        }
        if (!chk[l[x]]) {
            poss[x] = 1;
            if (st[id[x]].sub.find(l[x]) != st[id[x]].sub.end())
                ans[x] -= st[id[x]].sub[l[x]];
        }
        return id[x];
    }
    int cur = -1;
    chk[l[x]] ++;
    for (auto &y : g[x]) {
        int child = dfs(y);
        if (cur == -1) {
            cur = child;
            continue;
        }
        if (st[cur].sz < st[child].sz) swap(cur, child);
        Merge(st[cur], st[child], dep[x] + 1);
    }
    id[x] = cur;
    st[id[x]].dq.push_front(1);
    st[id[x]].sz ++;
    if (vec[dep[x]].size() < B) {
        for (auto &[i, col] : vec[dep[x]]) {
            if (i > 1) {
                st[id[x]].sub[col] += i - 1;
            }
        }
    }
    chk[l[x]] --;
    if (true) {
        poss[x] = 1;
        if (st[id[x]].sub.find(l[x]) != st[id[x]].sub.end())
            ans[x] -= st[id[x]].sub[l[x]];
        for (auto &d : large) {
            if (d < dep[x] || d > down[x]) continue;
            ll temp = min(cnt[l[x]][d], st[id[x]].dq[d - dep[x]]);
            ans[x] += temp - cnt[l[x]][d];
        }
    }
    
    return id[x];
}

ll in[100010], out[100010];
ll pv2;

void dfs2(ll x) {
    down[x] = dep[x];
    in[x] = ++pv2;
    for (auto &y : g[x]) {
        dep[y] = dep[x] + 1;
        dfs2(y);
        down[x] = max(down[x], down[y]);
    }
    out[x] = pv2;
}

struct Fenwick{
    vector<ll> tree;
    void init(ll n) {
        tree.assign(n+1, 0);
    }
    void upd(ll i, ll v, ll n) {
        while (i <= n) {
            tree[i] += v;
            i += i & -i;
        }
    }
    ll qry(ll i) {
        ll ret = 0;
        while (i) {
            ret += tree[i];
            i -= i & -i;
        }
        return ret;
    }
};

Fenwick seg;

vector<ll> t[100010];

int main() {
    ios_base :: sync_with_stdio(false); cin.tie(NULL);
    ll N, K;
    cin >> N >> K;
    for (ll i=0; i<N; i++) {
        cin >> l[i];
    }
    for (ll i=1; i<N; i++) {
        cin >> par[i];
        g[par[i]].push_back(i);
    }
    dep[1] = 0;
    dfs2(0);
    ll mxdep = 0;
    for (ll i=0; i<N; i++) {
        t[dep[i]].push_back(l[i]);
        mxdep = max(mxdep, dep[i]);
    }
    for (ll i=0; i<=mxdep; i++) {
        assert(!t[i].empty());
        sort(t[i].begin(), t[i].end());
        vec[i].push_back({1, t[i][0]});
        for (ll j=1; j<t[i].size(); j++) {
            if (t[i][j] != vec[i].back().second) {
                vec[i].push_back({1, t[i][j]});
            }
            else vec[i].back().first ++;
        }
    }
    
    for (ll i=0; i<=mxdep; i++) {
        if (vec[i].size() < B) {
            for (auto &[j, col] : vec[i]) {
                cnt[col][i] = j;
            }
        }
        else {
            large.push_back(i);
        }
    }
    
    dfs(0);
    vector<vector<ll>> qrs(K);
    for (ll i=0; i<N; i++) {
        qrs[l[i]].push_back(i); 
    }
    seg.init(mxdep + 1);
    for (ll i=0; i<K; i++) {
        for (auto &j : qrs[i]) {
            seg.upd(dep[j]+1, 1, mxdep+1);
        }
        for (auto &j : qrs[i]) {
            if (poss[j]) {
                ans[j] += seg.qry(down[j]+1) - seg.qry(dep[j]);
            }
        }
        for (auto &j : qrs[i]) {
            seg.upd(dep[j]+1, -1, mxdep+1);
        }
    }
    seg.init(N);
    for (ll i=0; i<K; i++) {
        for (auto &j : qrs[i]) {
            seg.upd(in[j], 1, N);
        }
        for (auto &j : qrs[i]) {
            if (poss[j]) {
                tme[j] = ans[j] - (seg.qry(out[j]) - seg.qry(in[j]-1));
            }
        }
        for (auto &j : qrs[i]) {
            seg.upd(in[j], -1, N);
        }
    }
    ll mx = -1, mn = 0;
    for (ll i=0; i<N; i++) {
        if (poss[i]) {
            if (mx < ans[i]) {
                mx = ans[i];
                mn = tme[i];
            }
            else if (mx == ans[i] && mn > tme[i]) {
                mn = tme[i];
            }
        }
    }
    cout << mx << ' ' << mn << '\n';

    return 0;
}

Compilation message

Main.cpp: In function 'void Merge(mySet&, mySet&, ll)':
Main.cpp:36:19: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::deque<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |     for (ll i=0; i<v.dq.size(); i++) {
      |                  ~^~~~~~~~~~~~
Main.cpp: In function 'int main()':
Main.cpp:179:23: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  179 |         for (ll j=1; j<t[i].size(); j++) {
      |                      ~^~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 91356 KB Output is correct
2 Correct 39 ms 93524 KB Output is correct
3 Correct 42 ms 93528 KB Output is correct
4 Correct 34 ms 93572 KB Output is correct
5 Correct 30 ms 93528 KB Output is correct
6 Correct 26 ms 93444 KB Output is correct
7 Correct 38 ms 93528 KB Output is correct
8 Correct 26 ms 94040 KB Output is correct
9 Correct 116 ms 125008 KB Output is correct
10 Correct 31 ms 93456 KB Output is correct
11 Correct 45 ms 94044 KB Output is correct
12 Correct 98 ms 122804 KB Output is correct
13 Correct 43 ms 93620 KB Output is correct
14 Correct 47 ms 94036 KB Output is correct
15 Correct 152 ms 126244 KB Output is correct
16 Correct 44 ms 93520 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 91484 KB Output is correct
2 Correct 33 ms 93444 KB Output is correct
3 Correct 39 ms 93528 KB Output is correct
4 Correct 34 ms 94180 KB Output is correct
5 Correct 87 ms 122824 KB Output is correct
6 Correct 34 ms 93536 KB Output is correct
7 Correct 33 ms 94184 KB Output is correct
8 Correct 85 ms 126768 KB Output is correct
9 Correct 42 ms 93384 KB Output is correct
10 Correct 36 ms 93928 KB Output is correct
11 Correct 111 ms 113268 KB Output is correct
12 Correct 58 ms 103000 KB Output is correct
13 Correct 44 ms 93524 KB Output is correct
14 Correct 33 ms 93388 KB Output is correct
15 Correct 94 ms 116072 KB Output is correct
16 Correct 102 ms 115760 KB Output is correct
17 Correct 31 ms 93532 KB Output is correct
18 Correct 34 ms 94044 KB Output is correct
19 Correct 101 ms 115908 KB Output is correct
20 Correct 108 ms 115992 KB Output is correct
21 Correct 126 ms 115656 KB Output is correct
22 Correct 37 ms 93448 KB Output is correct

Subtask #3
0.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 91476 KB Output is correct
2 Correct 32 ms 93524 KB Output is correct
3 Correct 36 ms 93548 KB Output is correct
4 Correct 28 ms 93496 KB Output is correct
5 Correct 35 ms 93524 KB Output is correct
6 Correct 32 ms 93532 KB Output is correct
7 Correct 30 ms 93620 KB Output is correct
8 Correct 112 ms 125012 KB Output is correct
9 Correct 39 ms 93624 KB Output is correct
10 Correct 31 ms 94268 KB Output is correct
11 Correct 121 ms 126292 KB Output is correct
12 Correct 33 ms 93528 KB Output is correct
13 Correct 30 ms 93420 KB Output is correct
14 Correct 41 ms 93524 KB Output is correct
15 Correct 39 ms 95060 KB Output is correct
16 Correct 38 ms 94468 KB Output is correct
17 Correct 44 ms 94168 KB Output is correct
18 Incorrect 142 ms 124948 KB Output isn't correct
19 Halted 0 ms 0 KB -

Subtask #4
0.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 91476 KB Output is correct
2 Correct 32 ms 93476 KB Output is correct
3 Correct 29 ms 93528 KB Output is correct
4 Correct 34 ms 93580 KB Output is correct
5 Correct 38 ms 93560 KB Output is correct
6 Correct 35 ms 93528 KB Output is correct
7 Correct 38 ms 93396 KB Output is correct
8 Correct 31 ms 94044 KB Output is correct
9 Correct 31 ms 93524 KB Output is correct
10 Correct 34 ms 94032 KB Output is correct
11 Correct 33 ms 93520 KB Output is correct
12 Correct 28 ms 94040 KB Output is correct
13 Correct 37 ms 93532 KB Output is correct
14 Correct 47 ms 94280 KB Output is correct
15 Correct 28 ms 93532 KB Output is correct
16 Correct 37 ms 93784 KB Output is correct
17 Correct 35 ms 93488 KB Output is correct
18 Correct 42 ms 93520 KB Output is correct
19 Correct 27 ms 93528 KB Output is correct
20 Correct 36 ms 93888 KB Output is correct
21 Correct 34 ms 93524 KB Output is correct
22 Correct 34 ms 93520 KB Output is correct
23 Correct 42 ms 95008 KB Output is correct
24 Correct 49 ms 94556 KB Output is correct
25 Correct 34 ms 94344 KB Output is correct
26 Correct 34 ms 94036 KB Output is correct
27 Correct 31 ms 93944 KB Output is correct
28 Incorrect 34 ms 95064 KB Output isn't correct
29 Halted 0 ms 0 KB -

Subtask #5
0.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 91356 KB Output is correct
2 Correct 39 ms 93524 KB Output is correct
3 Correct 42 ms 93528 KB Output is correct
4 Correct 34 ms 93572 KB Output is correct
5 Correct 30 ms 93528 KB Output is correct
6 Correct 26 ms 93444 KB Output is correct
7 Correct 38 ms 93528 KB Output is correct
8 Correct 26 ms 94040 KB Output is correct
9 Correct 116 ms 125008 KB Output is correct
10 Correct 31 ms 93456 KB Output is correct
11 Correct 45 ms 94044 KB Output is correct
12 Correct 98 ms 122804 KB Output is correct
13 Correct 43 ms 93620 KB Output is correct
14 Correct 47 ms 94036 KB Output is correct
15 Correct 152 ms 126244 KB Output is correct
16 Correct 44 ms 93520 KB Output is correct
17 Correct 35 ms 91484 KB Output is correct
18 Correct 33 ms 93444 KB Output is correct
19 Correct 39 ms 93528 KB Output is correct
20 Correct 34 ms 94180 KB Output is correct
21 Correct 87 ms 122824 KB Output is correct
22 Correct 34 ms 93536 KB Output is correct
23 Correct 33 ms 94184 KB Output is correct
24 Correct 85 ms 126768 KB Output is correct
25 Correct 42 ms 93384 KB Output is correct
26 Correct 36 ms 93928 KB Output is correct
27 Correct 111 ms 113268 KB Output is correct
28 Correct 58 ms 103000 KB Output is correct
29 Correct 44 ms 93524 KB Output is correct
30 Correct 33 ms 93388 KB Output is correct
31 Correct 94 ms 116072 KB Output is correct
32 Correct 102 ms 115760 KB Output is correct
33 Correct 31 ms 93532 KB Output is correct
34 Correct 34 ms 94044 KB Output is correct
35 Correct 101 ms 115908 KB Output is correct
36 Correct 108 ms 115992 KB Output is correct
37 Correct 126 ms 115656 KB Output is correct
38 Correct 37 ms 93448 KB Output is correct
39 Correct 40 ms 91476 KB Output is correct
40 Correct 32 ms 93524 KB Output is correct
41 Correct 36 ms 93548 KB Output is correct
42 Correct 28 ms 93496 KB Output is correct
43 Correct 35 ms 93524 KB Output is correct
44 Correct 32 ms 93532 KB Output is correct
45 Correct 30 ms 93620 KB Output is correct
46 Correct 112 ms 125012 KB Output is correct
47 Correct 39 ms 93624 KB Output is correct
48 Correct 31 ms 94268 KB Output is correct
49 Correct 121 ms 126292 KB Output is correct
50 Correct 33 ms 93528 KB Output is correct
51 Correct 30 ms 93420 KB Output is correct
52 Correct 41 ms 93524 KB Output is correct
53 Correct 39 ms 95060 KB Output is correct
54 Correct 38 ms 94468 KB Output is correct
55 Correct 44 ms 94168 KB Output is correct
56 Incorrect 142 ms 124948 KB Output isn't correct
57 Halted 0 ms 0 KB -