Submission #957855

# Submission time Handle Problem Language Result Execution time Memory
957855 2024-04-04T12:18:45 Z gaga999 Hard route (IZhO17_road) C++17
100 / 100
455 ms 105168 KB
#include <cstdio>
#include <stdio.h>
#include <iostream>
#include <math.h>
#include <vector>
#include <queue>
#include <stack>
#include <deque>
#include <algorithm>
#include <utility>
#include <set>
#include <map>
#include <stdlib.h>
#include <cstring>
#include <string.h>
#include <string>
#include <sstream>
#include <assert.h>
#include <climits>
#include <sstream>
#include <numeric>
#include <time.h>
#include <limits.h>
#include <list>
#include <bitset>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <iomanip>
#include <complex>
#include <chrono>
#include <fstream>
#include <functional>
#include <unistd.h>
// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx,avx2,bmi,bmi2,lzcnt,popcnt")
#define lowbit(x) ((x) & -(x))
#define ml(a, b) ((1ll * (a) * (b)) % M)
#define tml(a, b) (a) = ((1ll * (a) * (b)) % M)
#define ad(a, b) ((0ll + (a) + (b)) % M)
#define tad(a, b) (a) = ((0ll + (a) + (b)) % M)
#define mi(a, b) ((0ll + M + (a) - (b)) % M)
#define tmi(a, b) (a) = ((0ll + M + (a) - (b)) % M)
#define tmin(a, b) (a) = min((a), (b))
#define tmax(a, b) (a) = max((a), (b))
#define iter(a) (a).begin(), (a).end()
#define riter(a) (a).rbegin(), (a).rend()
#define init(a, b) memset((a), (b), sizeof(a))
#define cpy(a, b) memcpy((a), (b), sizeof(a))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define size(x) (int)x.size()
#define pb emplace_back
#define mpr make_pair
#define ls(i) ((i) << 1)
#define rs(i) ((i) << 1 | 1)
#define INF 0x3f3f3f3f
#define NIF 0xc0c0c0c0
#define eps 1e-9
#define F first
#define S second
#define AC cin.tie(0)->sync_with_stdio(0)
using namespace std;
typedef long long llt;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<llt, llt> pll;
typedef complex<double> cd;
// const int M = 998244353;

// random_device rm;
// mt19937 rg(rm());
// default_random_engine rg(rm());
// uniform_int_distribution<int> rd(INT_MIN, INT_MAX);
// uniform_real_distribution<double> rd(0, M_PI);

void db() { cerr << "\n"; }
template <class T, class... U>
void db(T a, U... b) { cerr << a << " ", db(b...); }

inline char gc()
{
    const static int SZ = 1 << 16;
    static char buf[SZ], *p1, *p2;
    if (p1 == p2 && (p2 = buf + fread(p1 = buf, 1, SZ, stdin), p1 == p2))
        return -1;
    return *p1++;
}
void rd() {}
template <typename T, typename... U>
void rd(T &x, U &...y)
{
    x = 0;
    bool f = 0;
    char c = gc();
    while (!isdigit(c))
        f ^= !(c ^ 45), c = gc();
    while (isdigit(c))
        x = (x << 1) + (x << 3) + (c ^ 48), c = gc();
    f && (x = -x), rd(y...);
}

template <typename T>
void prt(T x)
{
    if (x < 0)
        putchar('-'), x = -x;
    if (x > 9)
        prt(x / 10);
    putchar((x % 10) ^ 48);
}

const int N = 5e5 + 5;
vector<int> eg[N];
struct A
{
    llt mx, nm;
    A() : mx(0), nm(1) {}
    void operator+=(const A &rh)
    {
        if (rh.mx == mx)
            nm += rh.nm;
        else if (rh.mx > mx)
            *this = rh;
    }
} dp[N], ans;

void dfs(int u, int fa)
{
    for (int v : eg[u])
    {
        if (v == fa)
            continue;
        dfs(v, u);
        dp[u] += dp[v];
    }
    dp[u].mx++;
}

void slv(int u, int fa)
{
    A mx, sc;
    sc.mx = -INF;
    llt v0, v1, v2;
    v0 = v1 = v2 = -INF;
    for (int v : eg[u])
    {
        if (dp[v].mx == mx.mx)
            mx.nm += dp[v].nm;
        else
        {
            if (dp[v].mx > mx.mx)
                sc += mx, mx = dp[v];
            else
                sc += dp[v];
        }
        tmax(v2, dp[v].mx);
        if (v2 > v1)
            swap(v1, v2);
        if (v1 > v0)
            swap(v1, v0);
    }
    A cr;
    cr.mx = v0 * (v1 + v2);
    if (cr.mx >= ans.mx)
    {
        cr.nm = 0;
        if (v1 == v2)
        {
            int num = 0;
            for (int v : eg[u])
                if (dp[v].mx == v1)
                    num += dp[v].nm, cr.nm -= (dp[v].nm - 1) * dp[v].nm;
            cr.nm += (num - 1ll) * num, cr.nm >>= 1;
        }
        else
        {
            int n1 = 0, n2 = 0;
            for (int v : eg[u])
            {
                if (dp[v].mx == v1)
                    n1 += dp[v].nm;
                else if (dp[v].mx == v2)
                    n2 += dp[v].nm;
            }
            cr.nm += 1ll * n1 * n2;
        }
        ans += cr;
    }
    A pr = dp[u];
    for (int v : eg[u])
    {
        if (v == fa)
            continue;
        if (dp[v].mx == mx.mx)
        {
            if (dp[v].nm == mx.nm)
                dp[u] = sc;
            else
                dp[u] = mx, dp[u].nm -= dp[v].nm;
        }
        else
            dp[u] = mx;
        dp[u].mx++;
        slv(v, u);
    }
    dp[u] = pr;
}

signed main()
{
    int n, x, y;
    rd(n);
    for (int i = 1; i < n; i++)
    {
        rd(x, y);
        eg[x].pb(y);
        eg[y].pb(x);
    }
    dfs(1, -1);
    slv(1, -1);
    prt(ans.mx), putchar(' ');
    prt(ans.nm), putchar('\n');
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 19800 KB Output is correct
2 Correct 5 ms 19804 KB Output is correct
3 Correct 5 ms 19804 KB Output is correct
4 Correct 5 ms 19804 KB Output is correct
5 Correct 5 ms 19804 KB Output is correct
6 Correct 5 ms 20016 KB Output is correct
7 Correct 5 ms 20012 KB Output is correct
8 Correct 5 ms 19800 KB Output is correct
9 Correct 5 ms 19804 KB Output is correct
10 Correct 5 ms 19804 KB Output is correct
11 Correct 5 ms 19804 KB Output is correct
12 Correct 4 ms 19804 KB Output is correct
13 Correct 4 ms 19804 KB Output is correct
14 Correct 4 ms 19804 KB Output is correct
15 Correct 5 ms 20008 KB Output is correct
16 Correct 5 ms 19804 KB Output is correct
17 Correct 5 ms 19804 KB Output is correct
18 Correct 5 ms 19988 KB Output is correct
19 Correct 5 ms 19804 KB Output is correct
20 Correct 4 ms 19804 KB Output is correct
21 Correct 5 ms 20016 KB Output is correct
22 Correct 5 ms 19804 KB Output is correct
23 Correct 4 ms 19804 KB Output is correct
24 Correct 5 ms 19804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 19800 KB Output is correct
2 Correct 5 ms 19804 KB Output is correct
3 Correct 5 ms 19804 KB Output is correct
4 Correct 5 ms 19804 KB Output is correct
5 Correct 5 ms 19804 KB Output is correct
6 Correct 5 ms 20016 KB Output is correct
7 Correct 5 ms 20012 KB Output is correct
8 Correct 5 ms 19800 KB Output is correct
9 Correct 5 ms 19804 KB Output is correct
10 Correct 5 ms 19804 KB Output is correct
11 Correct 5 ms 19804 KB Output is correct
12 Correct 4 ms 19804 KB Output is correct
13 Correct 4 ms 19804 KB Output is correct
14 Correct 4 ms 19804 KB Output is correct
15 Correct 5 ms 20008 KB Output is correct
16 Correct 5 ms 19804 KB Output is correct
17 Correct 5 ms 19804 KB Output is correct
18 Correct 5 ms 19988 KB Output is correct
19 Correct 5 ms 19804 KB Output is correct
20 Correct 4 ms 19804 KB Output is correct
21 Correct 5 ms 20016 KB Output is correct
22 Correct 5 ms 19804 KB Output is correct
23 Correct 4 ms 19804 KB Output is correct
24 Correct 5 ms 19804 KB Output is correct
25 Correct 5 ms 20316 KB Output is correct
26 Correct 5 ms 20316 KB Output is correct
27 Correct 5 ms 20568 KB Output is correct
28 Correct 6 ms 20568 KB Output is correct
29 Correct 6 ms 20316 KB Output is correct
30 Correct 6 ms 20316 KB Output is correct
31 Correct 5 ms 20316 KB Output is correct
32 Correct 5 ms 20316 KB Output is correct
33 Correct 5 ms 20316 KB Output is correct
34 Correct 6 ms 20500 KB Output is correct
35 Correct 6 ms 20500 KB Output is correct
36 Correct 5 ms 20312 KB Output is correct
37 Correct 6 ms 20572 KB Output is correct
38 Correct 6 ms 20828 KB Output is correct
39 Correct 5 ms 20316 KB Output is correct
40 Correct 6 ms 20316 KB Output is correct
41 Correct 6 ms 20316 KB Output is correct
42 Correct 6 ms 20060 KB Output is correct
43 Correct 5 ms 20060 KB Output is correct
44 Correct 6 ms 20248 KB Output is correct
45 Correct 6 ms 20060 KB Output is correct
46 Correct 5 ms 20064 KB Output is correct
47 Correct 6 ms 20068 KB Output is correct
48 Correct 6 ms 20064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 19800 KB Output is correct
2 Correct 5 ms 19804 KB Output is correct
3 Correct 5 ms 19804 KB Output is correct
4 Correct 5 ms 19804 KB Output is correct
5 Correct 5 ms 19804 KB Output is correct
6 Correct 5 ms 20016 KB Output is correct
7 Correct 5 ms 20012 KB Output is correct
8 Correct 5 ms 19800 KB Output is correct
9 Correct 5 ms 19804 KB Output is correct
10 Correct 5 ms 19804 KB Output is correct
11 Correct 5 ms 19804 KB Output is correct
12 Correct 4 ms 19804 KB Output is correct
13 Correct 4 ms 19804 KB Output is correct
14 Correct 4 ms 19804 KB Output is correct
15 Correct 5 ms 20008 KB Output is correct
16 Correct 5 ms 19804 KB Output is correct
17 Correct 5 ms 19804 KB Output is correct
18 Correct 5 ms 19988 KB Output is correct
19 Correct 5 ms 19804 KB Output is correct
20 Correct 4 ms 19804 KB Output is correct
21 Correct 5 ms 20016 KB Output is correct
22 Correct 5 ms 19804 KB Output is correct
23 Correct 4 ms 19804 KB Output is correct
24 Correct 5 ms 19804 KB Output is correct
25 Correct 5 ms 20316 KB Output is correct
26 Correct 5 ms 20316 KB Output is correct
27 Correct 5 ms 20568 KB Output is correct
28 Correct 6 ms 20568 KB Output is correct
29 Correct 6 ms 20316 KB Output is correct
30 Correct 6 ms 20316 KB Output is correct
31 Correct 5 ms 20316 KB Output is correct
32 Correct 5 ms 20316 KB Output is correct
33 Correct 5 ms 20316 KB Output is correct
34 Correct 6 ms 20500 KB Output is correct
35 Correct 6 ms 20500 KB Output is correct
36 Correct 5 ms 20312 KB Output is correct
37 Correct 6 ms 20572 KB Output is correct
38 Correct 6 ms 20828 KB Output is correct
39 Correct 5 ms 20316 KB Output is correct
40 Correct 6 ms 20316 KB Output is correct
41 Correct 6 ms 20316 KB Output is correct
42 Correct 6 ms 20060 KB Output is correct
43 Correct 5 ms 20060 KB Output is correct
44 Correct 6 ms 20248 KB Output is correct
45 Correct 6 ms 20060 KB Output is correct
46 Correct 5 ms 20064 KB Output is correct
47 Correct 6 ms 20068 KB Output is correct
48 Correct 6 ms 20064 KB Output is correct
49 Correct 263 ms 66136 KB Output is correct
50 Correct 273 ms 70588 KB Output is correct
51 Correct 264 ms 74236 KB Output is correct
52 Correct 266 ms 60968 KB Output is correct
53 Correct 209 ms 68448 KB Output is correct
54 Correct 218 ms 72272 KB Output is correct
55 Correct 213 ms 62264 KB Output is correct
56 Correct 199 ms 66564 KB Output is correct
57 Correct 248 ms 76880 KB Output is correct
58 Correct 243 ms 72268 KB Output is correct
59 Correct 249 ms 71812 KB Output is correct
60 Correct 236 ms 69712 KB Output is correct
61 Correct 453 ms 105168 KB Output is correct
62 Correct 454 ms 93824 KB Output is correct
63 Correct 455 ms 60556 KB Output is correct
64 Correct 442 ms 52856 KB Output is correct
65 Correct 396 ms 47672 KB Output is correct
66 Correct 412 ms 45232 KB Output is correct
67 Correct 409 ms 43784 KB Output is correct
68 Correct 415 ms 43212 KB Output is correct
69 Correct 421 ms 42936 KB Output is correct
70 Correct 401 ms 42844 KB Output is correct
71 Correct 424 ms 42704 KB Output is correct
72 Correct 439 ms 42948 KB Output is correct
73 Correct 389 ms 42872 KB Output is correct
74 Correct 423 ms 43092 KB Output is correct
75 Correct 367 ms 43044 KB Output is correct
76 Correct 363 ms 43208 KB Output is correct
77 Correct 273 ms 43464 KB Output is correct
78 Correct 148 ms 44832 KB Output is correct