Submission #129674

# Submission time Handle Problem Language Result Execution time Memory
129674 2019-07-13T01:31:07 Z letrongdat Hard route (IZhO17_road) C++17
52 / 100
2000 ms 162468 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 = 1e10 + 1;
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());
    D[u].push_back({-INF, 0});
    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);
}
inline int ReadInt()
{
    int sign = 1;
    char c;
    do
    {
        c = getchar();
        if (c == '-') sign = -sign;
    }
    while (c < '0' || c > '9');
    int res;
    for (res = 0; c >= '0' && c <= '9'; c = getchar()) res = res * 10 + (c - '0');
    return res * sign;
}
int main() {
    //freopen("a.inp", "r", stdin);
    N = ReadInt();
    repn(i, 1, N) {
        int u, v;
        u = ReadInt(); v = ReadInt();
        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:41:18:
             repn(i, 0, D[prv].size()) if (D[prv][i].first + 1 != F[prv].first) {
                  ~~~~~~~~~~~~~~~~~~~                
road.cpp:41:13: 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:43:22:
                 repn(j, i, D[prv].size()) if (D[prv][j].first == D[prv][i].first) sum2 += D[prv][j].second; 
                      ~~~~~~~~~~~~~~~~~~~            
road.cpp:43:17: 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 23760 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23848 KB Output is correct
6 Correct 23 ms 23800 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23800 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 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23800 KB Output is correct
15 Correct 23 ms 23792 KB Output is correct
16 Correct 23 ms 23800 KB Output is correct
17 Correct 23 ms 23800 KB Output is correct
18 Correct 24 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 24 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 24 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 23760 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23848 KB Output is correct
6 Correct 23 ms 23800 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23800 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 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23800 KB Output is correct
15 Correct 23 ms 23792 KB Output is correct
16 Correct 23 ms 23800 KB Output is correct
17 Correct 23 ms 23800 KB Output is correct
18 Correct 24 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 24 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 24 ms 23800 KB Output is correct
24 Correct 23 ms 23800 KB Output is correct
25 Correct 27 ms 24700 KB Output is correct
26 Correct 27 ms 24824 KB Output is correct
27 Correct 27 ms 24824 KB Output is correct
28 Correct 27 ms 24824 KB Output is correct
29 Correct 27 ms 24800 KB Output is correct
30 Correct 27 ms 24824 KB Output is correct
31 Correct 28 ms 24824 KB Output is correct
32 Correct 27 ms 24696 KB Output is correct
33 Correct 28 ms 24824 KB Output is correct
34 Correct 33 ms 24952 KB Output is correct
35 Correct 30 ms 24828 KB Output is correct
36 Correct 28 ms 24824 KB Output is correct
37 Correct 28 ms 24952 KB Output is correct
38 Correct 29 ms 25212 KB Output is correct
39 Correct 28 ms 24952 KB Output is correct
40 Correct 28 ms 24696 KB Output is correct
41 Correct 28 ms 24696 KB Output is correct
42 Correct 27 ms 24572 KB Output is correct
43 Correct 33 ms 24568 KB Output is correct
44 Correct 27 ms 24568 KB Output is correct
45 Correct 27 ms 24568 KB Output is correct
46 Correct 27 ms 24440 KB Output is correct
47 Correct 33 ms 24572 KB Output is correct
48 Correct 53 ms 24568 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 23760 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23848 KB Output is correct
6 Correct 23 ms 23800 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23800 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 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23800 KB Output is correct
15 Correct 23 ms 23792 KB Output is correct
16 Correct 23 ms 23800 KB Output is correct
17 Correct 23 ms 23800 KB Output is correct
18 Correct 24 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 24 ms 23800 KB Output is correct
22 Correct 24 ms 23800 KB Output is correct
23 Correct 24 ms 23800 KB Output is correct
24 Correct 23 ms 23800 KB Output is correct
25 Correct 27 ms 24700 KB Output is correct
26 Correct 27 ms 24824 KB Output is correct
27 Correct 27 ms 24824 KB Output is correct
28 Correct 27 ms 24824 KB Output is correct
29 Correct 27 ms 24800 KB Output is correct
30 Correct 27 ms 24824 KB Output is correct
31 Correct 28 ms 24824 KB Output is correct
32 Correct 27 ms 24696 KB Output is correct
33 Correct 28 ms 24824 KB Output is correct
34 Correct 33 ms 24952 KB Output is correct
35 Correct 30 ms 24828 KB Output is correct
36 Correct 28 ms 24824 KB Output is correct
37 Correct 28 ms 24952 KB Output is correct
38 Correct 29 ms 25212 KB Output is correct
39 Correct 28 ms 24952 KB Output is correct
40 Correct 28 ms 24696 KB Output is correct
41 Correct 28 ms 24696 KB Output is correct
42 Correct 27 ms 24572 KB Output is correct
43 Correct 33 ms 24568 KB Output is correct
44 Correct 27 ms 24568 KB Output is correct
45 Correct 27 ms 24568 KB Output is correct
46 Correct 27 ms 24440 KB Output is correct
47 Correct 33 ms 24572 KB Output is correct
48 Correct 53 ms 24568 KB Output is correct
49 Correct 926 ms 121120 KB Output is correct
50 Correct 1052 ms 125524 KB Output is correct
51 Correct 913 ms 129180 KB Output is correct
52 Correct 859 ms 115960 KB Output is correct
53 Correct 842 ms 116424 KB Output is correct
54 Correct 860 ms 123512 KB Output is correct
55 Correct 822 ms 112296 KB Output is correct
56 Correct 825 ms 117076 KB Output is correct
57 Correct 936 ms 134320 KB Output is correct
58 Correct 1066 ms 129428 KB Output is correct
59 Correct 900 ms 129472 KB Output is correct
60 Correct 836 ms 126968 KB Output is correct
61 Correct 1125 ms 162468 KB Output is correct
62 Correct 1129 ms 151196 KB Output is correct
63 Correct 1064 ms 118136 KB Output is correct
64 Correct 1049 ms 110300 KB Output is correct
65 Correct 1056 ms 105220 KB Output is correct
66 Correct 1068 ms 102576 KB Output is correct
67 Correct 1053 ms 101136 KB Output is correct
68 Correct 1050 ms 100648 KB Output is correct
69 Correct 1012 ms 100152 KB Output is correct
70 Correct 1006 ms 100252 KB Output is correct
71 Correct 1048 ms 99944 KB Output is correct
72 Correct 1123 ms 100188 KB Output is correct
73 Correct 1156 ms 99940 KB Output is correct
74 Correct 1451 ms 99928 KB Output is correct
75 Execution timed out 2057 ms 78816 KB Time limit exceeded
76 Halted 0 ms 0 KB -