Submission #91266

# Submission time Handle Problem Language Result Execution time Memory
91266 2018-12-26T19:52:28 Z popovicirobert Hard route (IZhO17_road) C++14
52 / 100
916 ms 109508 KB
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
#define ld long double
// 217
// 44

using namespace std;

const int MAXN = (int) 5e5;

vector <int> g[MAXN + 1];
pair <int, int> down[MAXN + 1], up[MAXN + 1];

pair <ll, ll> ans = {0, 1};

inline void update(pair <int, int> &a, pair <int, int> b) {
    if(b.second == 0) {
        return ;
    }
    if(a.first < b.first) {
        a = b;
    }
    else if(a.first == b.first) {
        a.second += b.second;
    }
}

inline void update(pair <int, ll> &a, pair <int, ll> b) {
    if(b.second == 0) {
        return ;
    }
    if(a.first < b.first) {
        a = b;
    }
    else if(a.first == b.first) {
        a.second += b.second;
    }
}

inline void update(pair <ll, ll> &a, pair <ll, ll> b) {
    if(b.second == 0) {
        return ;
    }
    if(a.first < b.first) {
        a = b;
    }
    else if(a.first == b.first) {
        a.second += b.second;
    }
}

void dfs_down(int nod, int par) {
    down[nod] = {0, 1};
    for(auto it : g[nod]) {
        if(it != par) {
            dfs_down(it, nod);
            update(down[nod], {down[it].first + 1, down[it].second});
        }
    }
}


void dfs_up(int nod, int par) {
    int sz = g[nod].size();
    vector < pair <int, int> > pref(sz), suff(sz);
    for(int i = 0; i < sz; i++) {
        int it = g[nod][i];
        if(i > 0) {
            pref[i] = pref[i - 1];
        }
        if(it == par) {
            continue;
        }
        update(pref[i], {down[it].first + 2, down[it].second});
    }
    for(int i = sz - 1; i >= 0; i--) {
        int it = g[nod][i];
        if(i < sz - 1) {
            suff[i] = suff[i + 1];
        }
        if(it == par) {
            continue;
        }
        update(suff[i], {down[it].first + 2, down[it].second});
    }
    for(int i = 0; i < sz; i++) {
        int it = g[nod][i];
        if(it != par) {
            update(up[it], {up[nod].first + 1, up[nod].second});
            if(i > 0) {
                update(up[it], pref[i - 1]);
            }
            if(i < sz - 1) {
                update(up[it], suff[i + 1]);
            }
            dfs_up(it, nod);
        }
    }
}

inline bool cmp(pair <int, int> a, pair <int, int> b) {
    return a.first > b.first;
}

struct Data {
    int val, cnt, nr;
};

void solve(int nod, int par) {
    vector < pair <int, int> > arr;
    for(auto it : g[nod]) {
        if(it != par) {
            arr.push_back({down[it].first + 1, down[it].second});
        }
    }
    if(up[nod].first > 0) {
        arr.push_back(up[nod]);
    }
    sort(arr.begin(), arr.end(), cmp);
    while(arr.size() >= 3 && arr.back() < arr[2]) {
        arr.pop_back();
    }
    if(arr.size() >= 3) {
        vector < Data > aux;
        int sz = arr.size();
        int i = 0;
        while(i < sz) {
            int j = i;
            int cnt = 0;
            while(j < sz && arr[i].first == arr[j].first) {
                cnt += arr[j].second;
                j++;
            }
            aux.push_back({arr[i].first, cnt, j - i});
            i = j;
        }
        if(aux.size() == 1) {
            vector <ll> dp(3);
            for(auto it : arr) {
                vector <ll> new_dp(3);
                new_dp[1] = dp[1] + it.second;
                new_dp[2] = dp[2] + dp[1] * it.second;
                swap(dp, new_dp);
            }
            update(ans, {2LL * aux[0].val * aux[0].val, dp[2]});
        }
        else if(aux.size() == 2) {
            vector <ll> dp(3);
            if(aux[0].nr > 1) {
                update(ans, {1LL * aux[0].val * (aux[0].val + aux[1].val), 1LL * aux[0].cnt * aux[1].cnt});
            }
            else {
                for(int i = 0; i < arr.size(); i++) {
                    if(arr[i].first == aux[1].val) {
                        vector <ll> new_dp(3);
                        new_dp[1] = dp[1] + arr[i].second;
                        new_dp[2] = dp[2] + dp[1] * arr[i].second;
                        swap(dp, new_dp);
                    }
                }
                update(ans, {2LL * aux[0].val * aux[1].val, dp[2]});
            }
        }
        else {
            update(ans, {1LL * aux[0].val * (aux[1].val + aux[2].val), 1LL * aux[0].cnt * aux[1].cnt * aux[2].cnt});
        }
    }
    for(auto it : g[nod]) {
        if(it != par) {
            solve(it, nod);
        }
    }
}

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int i, n;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> n;
    for(i = 1; i < n; i++) {
        int u, v;
        cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    int root = -1;
    for(i = 1; i <= n; i++) {
        if(g[i].size() > 1) {
            root = i;
            break;
        }
    }
    if(root > -1) {
        dfs_down(root, 0);
        up[root] = {-MAXN, 0};
        dfs_up(root, 0);
        solve(root, 0);
    }
    cout << ans.first << " " << ans.second;
    //cin.close();
    //cout.close();
    return 0;
}

Compilation message

road.cpp: In function 'void solve(int, int)':
road.cpp:155:34: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                 for(int i = 0; i < arr.size(); i++) {
                                ~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 11 ms 12024 KB Output is correct
2 Correct 11 ms 12148 KB Output is correct
3 Correct 11 ms 12200 KB Output is correct
4 Correct 11 ms 12216 KB Output is correct
5 Correct 11 ms 12264 KB Output is correct
6 Correct 11 ms 12324 KB Output is correct
7 Correct 11 ms 12364 KB Output is correct
8 Correct 11 ms 12492 KB Output is correct
9 Correct 11 ms 12492 KB Output is correct
10 Correct 11 ms 12492 KB Output is correct
11 Correct 11 ms 12492 KB Output is correct
12 Correct 11 ms 12492 KB Output is correct
13 Correct 11 ms 12492 KB Output is correct
14 Correct 11 ms 12492 KB Output is correct
15 Correct 11 ms 12492 KB Output is correct
16 Correct 11 ms 12492 KB Output is correct
17 Correct 11 ms 12492 KB Output is correct
18 Correct 12 ms 12492 KB Output is correct
19 Correct 10 ms 12536 KB Output is correct
20 Correct 10 ms 12536 KB Output is correct
21 Correct 11 ms 12536 KB Output is correct
22 Correct 12 ms 12536 KB Output is correct
23 Correct 11 ms 12536 KB Output is correct
24 Correct 10 ms 12536 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 12024 KB Output is correct
2 Correct 11 ms 12148 KB Output is correct
3 Correct 11 ms 12200 KB Output is correct
4 Correct 11 ms 12216 KB Output is correct
5 Correct 11 ms 12264 KB Output is correct
6 Correct 11 ms 12324 KB Output is correct
7 Correct 11 ms 12364 KB Output is correct
8 Correct 11 ms 12492 KB Output is correct
9 Correct 11 ms 12492 KB Output is correct
10 Correct 11 ms 12492 KB Output is correct
11 Correct 11 ms 12492 KB Output is correct
12 Correct 11 ms 12492 KB Output is correct
13 Correct 11 ms 12492 KB Output is correct
14 Correct 11 ms 12492 KB Output is correct
15 Correct 11 ms 12492 KB Output is correct
16 Correct 11 ms 12492 KB Output is correct
17 Correct 11 ms 12492 KB Output is correct
18 Correct 12 ms 12492 KB Output is correct
19 Correct 10 ms 12536 KB Output is correct
20 Correct 10 ms 12536 KB Output is correct
21 Correct 11 ms 12536 KB Output is correct
22 Correct 12 ms 12536 KB Output is correct
23 Correct 11 ms 12536 KB Output is correct
24 Correct 10 ms 12536 KB Output is correct
25 Correct 14 ms 12936 KB Output is correct
26 Correct 14 ms 13244 KB Output is correct
27 Correct 15 ms 13244 KB Output is correct
28 Correct 14 ms 13440 KB Output is correct
29 Correct 15 ms 13440 KB Output is correct
30 Correct 16 ms 13452 KB Output is correct
31 Correct 13 ms 13504 KB Output is correct
32 Correct 16 ms 13504 KB Output is correct
33 Correct 15 ms 13644 KB Output is correct
34 Correct 16 ms 13664 KB Output is correct
35 Correct 15 ms 13716 KB Output is correct
36 Correct 15 ms 13768 KB Output is correct
37 Correct 15 ms 13952 KB Output is correct
38 Correct 16 ms 14512 KB Output is correct
39 Correct 15 ms 14512 KB Output is correct
40 Correct 16 ms 14512 KB Output is correct
41 Correct 15 ms 14512 KB Output is correct
42 Correct 15 ms 14512 KB Output is correct
43 Correct 16 ms 14512 KB Output is correct
44 Correct 15 ms 14512 KB Output is correct
45 Correct 13 ms 14512 KB Output is correct
46 Correct 14 ms 14512 KB Output is correct
47 Correct 15 ms 14512 KB Output is correct
48 Correct 31 ms 14512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 12024 KB Output is correct
2 Correct 11 ms 12148 KB Output is correct
3 Correct 11 ms 12200 KB Output is correct
4 Correct 11 ms 12216 KB Output is correct
5 Correct 11 ms 12264 KB Output is correct
6 Correct 11 ms 12324 KB Output is correct
7 Correct 11 ms 12364 KB Output is correct
8 Correct 11 ms 12492 KB Output is correct
9 Correct 11 ms 12492 KB Output is correct
10 Correct 11 ms 12492 KB Output is correct
11 Correct 11 ms 12492 KB Output is correct
12 Correct 11 ms 12492 KB Output is correct
13 Correct 11 ms 12492 KB Output is correct
14 Correct 11 ms 12492 KB Output is correct
15 Correct 11 ms 12492 KB Output is correct
16 Correct 11 ms 12492 KB Output is correct
17 Correct 11 ms 12492 KB Output is correct
18 Correct 12 ms 12492 KB Output is correct
19 Correct 10 ms 12536 KB Output is correct
20 Correct 10 ms 12536 KB Output is correct
21 Correct 11 ms 12536 KB Output is correct
22 Correct 12 ms 12536 KB Output is correct
23 Correct 11 ms 12536 KB Output is correct
24 Correct 10 ms 12536 KB Output is correct
25 Correct 14 ms 12936 KB Output is correct
26 Correct 14 ms 13244 KB Output is correct
27 Correct 15 ms 13244 KB Output is correct
28 Correct 14 ms 13440 KB Output is correct
29 Correct 15 ms 13440 KB Output is correct
30 Correct 16 ms 13452 KB Output is correct
31 Correct 13 ms 13504 KB Output is correct
32 Correct 16 ms 13504 KB Output is correct
33 Correct 15 ms 13644 KB Output is correct
34 Correct 16 ms 13664 KB Output is correct
35 Correct 15 ms 13716 KB Output is correct
36 Correct 15 ms 13768 KB Output is correct
37 Correct 15 ms 13952 KB Output is correct
38 Correct 16 ms 14512 KB Output is correct
39 Correct 15 ms 14512 KB Output is correct
40 Correct 16 ms 14512 KB Output is correct
41 Correct 15 ms 14512 KB Output is correct
42 Correct 15 ms 14512 KB Output is correct
43 Correct 16 ms 14512 KB Output is correct
44 Correct 15 ms 14512 KB Output is correct
45 Correct 13 ms 14512 KB Output is correct
46 Correct 14 ms 14512 KB Output is correct
47 Correct 15 ms 14512 KB Output is correct
48 Correct 31 ms 14512 KB Output is correct
49 Correct 827 ms 88148 KB Output is correct
50 Correct 786 ms 103464 KB Output is correct
51 Correct 760 ms 109508 KB Output is correct
52 Incorrect 916 ms 109508 KB Output isn't correct
53 Halted 0 ms 0 KB -