Submission #129676

# Submission time Handle Problem Language Result Execution time Memory
129676 2019-07-13T01:40:45 Z letrongdat Hard route (IZhO17_road) C++17
52 / 100
2000 ms 130200 KB
#include <bits/stdc++.h>
using namespace std;
#define forn(i, a, b)               for(int i=a; i<=b; ++i)
#define ford(i, a, b)               for(int i=a; i>=b; --i)
#define repn(i, a, b)               for(int i=a; i <b; ++i)
#define repd(i, a, b)               for(int i=(int)a -1; i>=b; --i)
#define llong                       long long 
#define ii                          pair<llong, llong> 
const llong INF = 2;
const int maxN = 5e5 + 10;
int N;
vector<ii> D[maxN];
vector<int> E[maxN];
ii F[maxN], out[maxN];
void maximize(ii &a, ii b) {
    if (a.first < b.first + 1) {
        a.first = b.first + 1;
        a.second = b.second;
    } else if (a.first == b.first + 1) a.second += b.second;
}
void dfs1(int u, int prv = 0) {
    F[u] = {-INF, 0};
    bool leaf = true;
    for(auto v: E[u]) if (v != prv) {
        leaf = false;
        dfs1(v, u);
        maximize(F[u], F[v]);
        D[u].push_back(F[v]);
    }
    sort(D[u].begin(), D[u].end());
    reverse(D[u].begin(), D[u].end());
    if (leaf) F[u] = {0, 1};
}
void dfs2(int u, int prv = 0) {
    out[u] = {-INF, 0};
    if (!prv) out[u] = {0, 1}; 
        else {
            maximize(out[u], out[prv]);
            llong sum2 = 0, maxDist2 = -INF;
            repn(i, 0, D[prv].size()) if (D[prv][i].first + 1 != F[prv].first) {
                maxDist2 = D[prv][i].first + 1;
                repn(j, i, D[prv].size()) if (D[prv][j].first == D[prv][i].first) sum2 += D[prv][j].second; 
                    else break;
                break;
            }
            if (F[u].first + 1 == F[prv].first) {
                if (F[u].second != F[prv].second) maximize(out[u], {F[prv].first, F[prv].second -F[u].second}); 
                    else maximize(out[u], {maxDist2, sum2});
            } else maximize(out[u], F[prv]);
        }
    for(auto v: E[u]) if (v != prv) dfs2(v, u);
}
int main() {
    ios::sync_with_stdio(0);
    cin >> N;
    repn(i, 1, N) {
        int u, v;
        cin >> u >> v;
        E[u].push_back(v);
        E[v].push_back(u);
    }
    dfs1(1);
    dfs2(1);
    llong result = 0, ways = 0;
    forn(u, 1, N) {
        for(auto &x: D[u]) x.first ++;
        D[u].push_back(out[u]);
        sort(D[u].begin(), D[u].end());
        reverse(D[u].begin(), D[u].end());
        if (D[u].size() < 3 || D[u][2].first <= 0) continue;
        while (D[u].size() && D[u].back().first != D[u][2].first) D[u].pop_back();
        long long paths, a, ab, abc;
        paths = a = ab = abc = 0;
        if (D[u][0].first == D[u][2].first) {
            for(auto v: D[u]) {
                ab  += v.second * a;
                a   += v.second; 
            }
            paths = ab;
        } else {
            if (D[u][1].first == D[u][2].first) {
                for(auto v: D[u]) if (v.first != D[u][0].first) {
                    ab += v.second  * a;
                    a  += v.second;
                }
                paths = ab;
            } else {
                for(auto v: D[u]) if (v.first == D[u][2].first)
                    a += v.second;
                if (D[u][0].first == D[u][1].first) 
                    paths = (D[u][0].second + D[u][1].second) * a;
                else paths = D[u][1].second * a;
            }
        }
        llong Dist = D[u][0].first * (D[u][1].first + D[u][2].first);
        if (result < Dist) {
            result = Dist;
            ways = paths;
        } else if (result == Dist) ways += paths;
    }
    if (result == 0) ways = 1;
    cout << result << ' ' << ways << '\n';
    return 0;
}

Compilation message

road.cpp: In function 'void dfs2(int, int)':
road.cpp:5:52: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define repn(i, a, b)               for(int i=a; i <b; ++i)
road.cpp:40:18:
             repn(i, 0, D[prv].size()) if (D[prv][i].first + 1 != F[prv].first) {
                  ~~~~~~~~~~~~~~~~~~~                
road.cpp:40:13: note: in expansion of macro 'repn'
             repn(i, 0, D[prv].size()) if (D[prv][i].first + 1 != F[prv].first) {
             ^~~~
road.cpp:5:52: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define repn(i, a, b)               for(int i=a; i <b; ++i)
road.cpp:42:22:
                 repn(j, i, D[prv].size()) if (D[prv][j].first == D[prv][i].first) sum2 += D[prv][j].second; 
                      ~~~~~~~~~~~~~~~~~~~            
road.cpp:42:17: note: in expansion of macro 'repn'
                 repn(j, i, D[prv].size()) if (D[prv][j].first == D[prv][i].first) sum2 += D[prv][j].second; 
                 ^~~~
# Verdict Execution time Memory Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23800 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 23 ms 23800 KB Output is correct
7 Correct 23 ms 23800 KB Output is correct
8 Correct 23 ms 23804 KB Output is correct
9 Correct 23 ms 23800 KB Output is correct
10 Correct 23 ms 23800 KB Output is correct
11 Correct 23 ms 23800 KB Output is correct
12 Correct 23 ms 23892 KB Output is correct
13 Correct 23 ms 23928 KB Output is correct
14 Correct 29 ms 23800 KB Output is correct
15 Correct 24 ms 23824 KB Output is correct
16 Correct 28 ms 23800 KB Output is correct
17 Correct 23 ms 23928 KB Output is correct
18 Correct 23 ms 23800 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 23 ms 23800 KB Output is correct
21 Correct 23 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 23 ms 23800 KB Output is correct
24 Correct 23 ms 23800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23800 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 23 ms 23800 KB Output is correct
7 Correct 23 ms 23800 KB Output is correct
8 Correct 23 ms 23804 KB Output is correct
9 Correct 23 ms 23800 KB Output is correct
10 Correct 23 ms 23800 KB Output is correct
11 Correct 23 ms 23800 KB Output is correct
12 Correct 23 ms 23892 KB Output is correct
13 Correct 23 ms 23928 KB Output is correct
14 Correct 29 ms 23800 KB Output is correct
15 Correct 24 ms 23824 KB Output is correct
16 Correct 28 ms 23800 KB Output is correct
17 Correct 23 ms 23928 KB Output is correct
18 Correct 23 ms 23800 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 23 ms 23800 KB Output is correct
21 Correct 23 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 23 ms 23800 KB Output is correct
24 Correct 23 ms 23800 KB Output is correct
25 Correct 27 ms 24568 KB Output is correct
26 Correct 27 ms 24696 KB Output is correct
27 Correct 27 ms 24696 KB Output is correct
28 Correct 26 ms 24740 KB Output is correct
29 Correct 27 ms 24696 KB Output is correct
30 Correct 27 ms 24696 KB Output is correct
31 Correct 27 ms 24696 KB Output is correct
32 Correct 27 ms 24568 KB Output is correct
33 Correct 27 ms 24696 KB Output is correct
34 Correct 27 ms 24696 KB Output is correct
35 Correct 27 ms 24696 KB Output is correct
36 Correct 27 ms 24696 KB Output is correct
37 Correct 27 ms 24852 KB Output is correct
38 Correct 28 ms 24952 KB Output is correct
39 Correct 28 ms 24568 KB Output is correct
40 Correct 27 ms 24568 KB Output is correct
41 Correct 33 ms 24568 KB Output is correct
42 Correct 28 ms 24440 KB Output is correct
43 Correct 28 ms 24440 KB Output is correct
44 Correct 27 ms 24440 KB Output is correct
45 Correct 27 ms 24312 KB Output is correct
46 Correct 27 ms 24316 KB Output is correct
47 Correct 34 ms 24440 KB Output is correct
48 Correct 52 ms 24444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23800 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 23 ms 23800 KB Output is correct
7 Correct 23 ms 23800 KB Output is correct
8 Correct 23 ms 23804 KB Output is correct
9 Correct 23 ms 23800 KB Output is correct
10 Correct 23 ms 23800 KB Output is correct
11 Correct 23 ms 23800 KB Output is correct
12 Correct 23 ms 23892 KB Output is correct
13 Correct 23 ms 23928 KB Output is correct
14 Correct 29 ms 23800 KB Output is correct
15 Correct 24 ms 23824 KB Output is correct
16 Correct 28 ms 23800 KB Output is correct
17 Correct 23 ms 23928 KB Output is correct
18 Correct 23 ms 23800 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 23 ms 23800 KB Output is correct
21 Correct 23 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 23 ms 23800 KB Output is correct
24 Correct 23 ms 23800 KB Output is correct
25 Correct 27 ms 24568 KB Output is correct
26 Correct 27 ms 24696 KB Output is correct
27 Correct 27 ms 24696 KB Output is correct
28 Correct 26 ms 24740 KB Output is correct
29 Correct 27 ms 24696 KB Output is correct
30 Correct 27 ms 24696 KB Output is correct
31 Correct 27 ms 24696 KB Output is correct
32 Correct 27 ms 24568 KB Output is correct
33 Correct 27 ms 24696 KB Output is correct
34 Correct 27 ms 24696 KB Output is correct
35 Correct 27 ms 24696 KB Output is correct
36 Correct 27 ms 24696 KB Output is correct
37 Correct 27 ms 24852 KB Output is correct
38 Correct 28 ms 24952 KB Output is correct
39 Correct 28 ms 24568 KB Output is correct
40 Correct 27 ms 24568 KB Output is correct
41 Correct 33 ms 24568 KB Output is correct
42 Correct 28 ms 24440 KB Output is correct
43 Correct 28 ms 24440 KB Output is correct
44 Correct 27 ms 24440 KB Output is correct
45 Correct 27 ms 24312 KB Output is correct
46 Correct 27 ms 24316 KB Output is correct
47 Correct 34 ms 24440 KB Output is correct
48 Correct 52 ms 24444 KB Output is correct
49 Correct 843 ms 100224 KB Output is correct
50 Correct 870 ms 103536 KB Output is correct
51 Correct 874 ms 106232 KB Output is correct
52 Correct 1010 ms 96604 KB Output is correct
53 Correct 764 ms 105592 KB Output is correct
54 Correct 773 ms 108788 KB Output is correct
55 Correct 743 ms 101144 KB Output is correct
56 Correct 821 ms 104440 KB Output is correct
57 Correct 823 ms 109048 KB Output is correct
58 Correct 844 ms 105212 KB Output is correct
59 Correct 833 ms 105276 KB Output is correct
60 Correct 801 ms 103392 KB Output is correct
61 Correct 1150 ms 130200 KB Output is correct
62 Correct 1028 ms 121532 KB Output is correct
63 Correct 1057 ms 97016 KB Output is correct
64 Correct 1002 ms 91012 KB Output is correct
65 Correct 1020 ms 87072 KB Output is correct
66 Correct 978 ms 85160 KB Output is correct
67 Correct 1046 ms 83908 KB Output is correct
68 Correct 974 ms 83516 KB Output is correct
69 Correct 979 ms 83448 KB Output is correct
70 Correct 1008 ms 83180 KB Output is correct
71 Correct 1035 ms 83144 KB Output is correct
72 Correct 1084 ms 83424 KB Output is correct
73 Correct 1108 ms 83036 KB Output is correct
74 Correct 1419 ms 83204 KB Output is correct
75 Execution timed out 2073 ms 70384 KB Time limit exceeded
76 Halted 0 ms 0 KB -