Submission #238240

# Submission time Handle Problem Language Result Execution time Memory
238240 2020-06-10T10:47:23 Z kartel Transport (COCI19_transport) C++14
78 / 130
413 ms 14316 KB
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#define in(x) freopen(x, "r", stdin)
#define out(x) freopen(x, "w", stdout)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-O3")
#define F first
#define S second
#define pb push_back
#define N +100500
#define M ll(1e9 + 7)
#define sz(x) (int)x.size()
#define re return
#define oo ll(1e9)
#define el '\n'
#define pii pair <int, int>
using namespace std;
//using namespace __gnu_pbds;
//typedef tree <int, null_type, less_equal <int> , rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef long long ll;
typedef long double ld;

vector <ll> vc;
ll t[N], cnt[N], ans;
int siz[N], i, n, u, v, w, kol;
vector <pair <int, ll> > g[N];
bool mk[N];

void upd(int v)
{
    v = upper_bound(vc.begin(), vc.end(), v) - vc.begin() - 1;

    for (; v < N; v = (v | (v + 1))) t[v]++;
}

ll sum(int v)
{
    v = upper_bound(vc.begin(), vc.end(), v) - vc.begin() - 1;

    ll cur = 0;

    for (; v >= 0; v = (v & (v + 1)) - 1) cur += t[v];

    return cur;
}

void addremains(int v, int pr, ll rem, ll remain)
{
    rem += cnt[v];

    vc.pb(remain);

    for (auto u : g[v])
    {
        int to = u.F;
        int len = u.S;

        if (to == pr || mk[to]) continue;

        int new_rem = max(0ll, rem - len);
        int new_remain = remain + max(0ll, len - rem);

        addremains(to, v, new_rem, new_remain);
    }
}

void calcremains(int v, int pr, ll rem, ll remain)
{
    rem += cnt[v];

    upd(remain);

    for (auto u : g[v])
    {
        int to = u.F;
        int len = u.S;

        if (to == pr || mk[to]) continue;

        int new_rem = max(0ll, rem - len);
        int new_remain = remain + max(0ll, len - rem);

        calcremains(to, v, new_rem, new_remain);
    }
}

void calcneed(int v, int pr, ll rem, ll cost, ll need)
{
    siz[v] = 1;

    need += cost;
    need = max(0ll, need - cnt[v]);

    rem += cnt[v];
    rem -= cost;

    if (need == 0)
    {
        kol++;
        ans += sum(rem);
    }

    for (auto u : g[v])
    {
        int to = u.F;
        int len = u.S;

        if (to == pr || mk[to]) continue;

        calcneed(to, v, rem, len, need);

        siz[v] += siz[to];
    }
}

void dfs(int v, int pr)
{
    siz[v] = 1;
    for (auto u : g[v])
    {
        if (u.F == pr || mk[u.F]) continue;

        dfs(u.F, v);

        siz[v] += siz[u.F];
    }
}

int fnd_cent(int v, int pr)
{
    if (pr != -1)
    {
        siz[pr] -= siz[v];
        siz[v] += siz[pr];
    }

    int cent = -1;

    for (auto u : g[v])
    {
        int to = u.F;

        if (mk[to]) continue;
        if (siz[to] > siz[v] / 2) {cent = to;break;}
    }

    if (cent == -1) return v;

    return fnd_cent(cent, v);
}

void calc(int v)
{
    kol = 0;
    mk[v] = 1;
    vc.clear();
    vc.pb(-1);

    for (auto u : g[v])
    {
        int to = u.F;
        int len = u.S;

        if (mk[to]) continue;

        addremains(to, -1, 0, len);
    }

    sort(vc.begin(), vc.end());
    vc.resize(unique(vc.begin(), vc.end()) - vc.begin());

    for (i = 0; i <= sz(vc); i++) t[i] = 0;

    for (auto u : g[v])
    {
        int to = u.F;
        int len = u.S;

        if (mk[to]) continue;

        calcneed(to, -1, cnt[v], len, 0);

        calcremains(to, -1, 0, len);
    }

    for (i = 0; i <= sz(vc); i++) t[i] = 0;

    for (int i = sz(g[v]) - 1; i >= 0; i--)
    {
        int to = g[v][i].F;
        int len = g[v][i].S;

        if (mk[to]) continue;

        calcneed(to, -1, cnt[v], len, 0);

        calcremains(to, -1, 0, len);
    }

    ans += kol / 2;

    ans += sum(cnt[v]);

    for (auto u : g[v])
    {
        int to = u.F;

        if (mk[to]) continue;

        int cent = fnd_cent(to, -1);

        if (cent != -1) calc(cent);
    }
}

int main()
{
    srand(time(0));
    ios_base::sync_with_stdio(0);
    iostream::sync_with_stdio(0);
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);

//    in("input.txt");
//    out("output.txt");

    cin >> n;
    for (i = 1; i <= n; i++) cin >> cnt[i];

    for (i = 1; i < n; i++)
    {
        cin >> v >> u >> w;
        g[u].pb({v, w});
        g[v].pb({u, w});
    }

    dfs(1, -1);

    calc(fnd_cent(1, -1));

    cout << ans;
}

/*
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(*)((...
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M.......
*/
//
//110000
//1100
# Verdict Execution time Memory Grader output
1 Correct 13 ms 3072 KB Output is correct
2 Correct 12 ms 3200 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 3328 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 111 ms 8952 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 158 ms 11252 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 223 ms 14316 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 93 ms 5756 KB Output is correct
2 Correct 54 ms 5244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 90 ms 7420 KB Output is correct
2 Correct 159 ms 7160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 225 ms 8948 KB Output is correct
2 Correct 224 ms 9328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 325 ms 10996 KB Output is correct
2 Correct 341 ms 10992 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 413 ms 13292 KB Output is correct
2 Correct 406 ms 12376 KB Output is correct