oj.uz

Submission #427319

# Submission time Handle Problem Language Result Execution time Memory
427319 2021-06-14T14:17:06 Z Hideo Designated Cities (JOI19_designated_cities) C++17
39 / 100
 2000 ms 100424 KB 
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx,avx2,fma")

#include <bits/stdc++.h>
using namespace std;

#define all(s) s.begin(), s.end()
#define int long long
#define fr first
#define sc second
#define pb push_back
#define mk make_pair
#define pi pair < int, int >

const int N = 2e5 + 7;
const int INF = 1e9 + 7;

pi t[2 * N];
int lz[N];
int p[N][20], h[2][N], w[N];
int tin[N], tout[N], tim;
int ans[N];
int n, rt, sum, s_up;

vector < pair < int, pi > > g[N];

pi lr[N], lg[2][N];
int rv[N], del[N], cnt = -1;
vector < int > a;

int lc, x, y;

void dfs (int v, int pr = 0){
    lg[0][v] = lg[1][v] = {0, v};
    lr[v] = {INF, -INF};
    tin[v] = ++tim;
    p[v][0] = pr;
    for (int j = 1; j < 20; j++)
        p[v][j] = p[p[v][j - 1]][j - 1];
    for (auto to : g[v]){
        if (to.fr != pr){
            s_up += to.sc.sc;
            h[0][to.fr] = h[0][v] + to.sc.fr;
            h[1][to.fr] = h[1][v] + to.sc.sc;
            dfs(to.fr, v);
            lr[v].fr = min(lr[v].fr, lr[to.fr].fr);
            lr[v].sc = max(lr[v].sc, lr[to.fr].sc);
            if (lg[0][v].fr < lg[0][to.fr].fr + to.sc.fr){
                swap(lg[0][v], lg[1][v]);
                lg[0][v] = {lg[0][to.fr].fr + to.sc.fr, lg[0][to.fr].sc};
            }
            else if (lg[1][v].fr < lg[0][to.fr].fr + to.sc.fr)
                lg[1][v] = {lg[0][to.fr].fr + to.sc.fr, lg[0][to.fr].sc};
        }
    }
    tout[v] = tim;
    if (g[v].size() == 1){
        rv[v] = ++cnt;
        lr[v] = {rv[v], rv[v]};
        a.pb(v);
    }
}

inline bool check (int v, int u){
    return tin[v] <= tin[u] && tout[u] <= tout[v];
}

int lca (int v, int u){
    if (check(v, u))
        return v;
    if (check(u, v))
        return u;
    for (int j = 19; j >= 0; j--)
        if (p[v][j] && !check(p[v][j], u))
            v = p[v][j];
    return p[v][0];
}

inline int dis (int vv, int uu){
    int pp = lca(vv, uu);
    return h[1][vv] - h[1][pp] + h[0][uu] - h[0][pp];
}

int hg;

void build(int p) {
  while (p > 1) {
    p >>= 1;
    if (t[p<<1].fr > t[p<<1|1].fr)
        t[p] = t[p<<1];
    else
        t[p] = t[p<<1|1];
    t[p].fr += lz[p];
  }
}

void push(int p) {
  for (int s = hg; s > 0; --s) {
    int i = p >> s;
    if (lz[i] != 0) {

      t[i<<1].fr += lz[i];
      if ((i << 1) < cnt)
        lz[i<<1] += lz[i];

      t[i<<1|1].fr += lz[i];
      if ((i<<1|1) < cnt)
        lz[i<<1|1] += lz[i];
      lz[i] = 0;
    }
  }
}

void upd(int l, int r, int value) {
  l += cnt, r += cnt;
  int l0 = l, r0 = r;
  for (; l < r; l >>= 1, r >>= 1) {
    if (l&1){
        t[l].fr += value;
        if (l < cnt)
            lz[l] += value;
        l++;
    }
    if (r&1){
        t[--r].fr += value;
        if (r < cnt)
            lz[r] += value;
    }
  }
  build(l0);
  build(r0 - 1);
}

pi query(int l, int r) {
  l += cnt, r += cnt;
  push(l);
  push(r - 1);
  pi res = {0, 0};
  for (; l < r; l >>= 1, r >>= 1){
    if (l&1 && res.fr < t[l++].fr){
        res = t[l - 1];
    }
    if (r&1 && res.fr < t[--r].fr){
        res = t[r];
    }
  }
  return res;
}

void prec (int v, int pr = 0){
    for (auto to : g[v]){
        if (to.fr != pr){
            prec(to.fr, v);
            if (check(to.fr, lc))
                w[to.fr] = to.sc.sc;
            else
                w[to.fr] = to.sc.fr;
        }
    }
}

int negr, negr2;

vector < pi > prs;

void reroot (int v, int pr = 0, pi up = {0, 0}){
    if (up.fr > lg[0][v].fr){
        prs.pb({v, up.sc});
        lg[0][v] = up;
    }
    else
        prs.pb({v, lg[0][v].sc});
    for (auto to : g[v]){
        if (to.fr != pr){
            if (lg[0][v].sc == lg[0][to.fr].sc){
                reroot(to.fr, v, {lg[1][v].fr + to.sc.sc, lg[1][v].sc});
            }
            else {
                reroot(to.fr, v, {lg[0][v].fr + to.sc.sc, lg[0][v].sc});
            }
        }
    }
}

main (){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n;
    for (int i = 1; i < n; i++){
        int a, b, c, d;
        cin >> a >> b >> c >> d;
        negr = c;
        negr2 = d;
        g[a].pb({b, {c, d}});
        g[b].pb({a, {d, c}});
        sum += c + d;
    }
    if (n == 2){
        ans[1] = max(negr, negr2);
        ans[2] = sum;
        int q;
        cin >> q;
        for (int i = 1; i <= q; i++){
            int e;
            cin >> e;
            cout << sum - ans[e] << endl;
        }
        return 0;
    }
    for (int i = 1; i <= n; i++){
        if (g[i].size() > 1){
            rt = i;
            break;
        }
    }
    dfs(rt);
    for (int i = 1; i <= n; i++){
        ans[1] = max(ans[1], s_up - h[1][i] + h[0][i]);
    }
    reroot(rt);
    int mx = 0;
    for (pi it : prs){
        int v = it.fr, u = it.sc;
        int l = lca(v, u);
        if (mx < s_up - h[1][l] + h[0][l] + h[0][v] + h[0][u] - 2 * h[0][l]){
            mx = s_up - h[1][l] + h[0][l] + h[0][v] + h[0][u] - 2 * h[0][l];
            x = v, y = u;
        }
    }
    ans[2] = mx;
    lc = lca(x, y);
    cnt++;
    hg = sizeof(int) * 8 - __builtin_clz(cnt);
    prec(rt);
    for (int i = 0; i < cnt; i++){
        t[cnt + i].sc = i;
    }
    for (int i = 0; i < cnt; i++){
        upd(i, i + 1, dis(lc, a[i]));
    }
    del[0] = 1;
    del[lc] = 1;
    while (x != lc){
        del[x] = 1;
        upd(lr[x].fr, lr[x].sc + 1, -w[x]);
        w[x] = 0;
        x = p[x][0];
    }
    while (y != lc){
        del[y] = 1;
        upd(lr[y].fr, lr[y].sc + 1, -w[y]);
        w[y] = 0;
        y = p[y][0];
    }
    for (int i = 3; i < cnt; i++){
        pi temp = t[1];
        int it = temp.sc, val = temp.fr;
        ans[i] = ans[i - 1] + val;
//        cout << a[it] << ' ' << val << endl;
        if (lr[lc].fr <= it && it <= lr[lc].sc){
            int v = a[it];
            while (!del[v]){
                del[v] = 1;
                upd(lr[v].fr, lr[v].sc + 1, -w[v]);
//                cout << v << ' ' << lr[v].fr << ' ' << lr[v].sc << ' ' << w[v] << endl;
                w[v] = 0;
                v = p[v][0];
            }
        }
        else {
            int nw = lca(lc, a[it]);
            int v = lc;
            while (v != nw){
                if (lr[v].fr > 0){
                    upd(0, lr[v].fr, -w[v]);
//                    cout << v << ' ' << 1 << ' ' << lr[v].fr << ' ' << w[v] << endl;
                }
                if (lr[v].sc < cnt - 1){
                    upd(lr[v].sc + 1, cnt, -w[v]);
//                    cout << v << ' ' << lr[v].sc + 2 << ' ' << cnt << ' ' << w[v] << endl;
                }
                w[v] = 0;
                v = p[v][0];
                del[v] = 1;
            }
            v = a[it];
            while (!del[v]){
                del[v] = 1;
                upd(lr[v].fr, lr[v].sc + 1, -w[v]);
//                cout << v << ' ' << lr[v].fr + 1 << ' ' << lr[v].sc + 1 << ' ' << w[v] << endl;
                w[v] = 0;
                v = p[v][0];
            }
        }
    }
    for (int i = cnt; i <= n; i++)
        ans[i] = sum;
    int q;
    cin >> q;
    for (int i = 1; i <= q; i++){
        int e;
        cin >> e;
        cout << sum - ans[e] << endl;
    }
}

Compilation message

designated_cities.cpp:185:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  185 | main (){
      | ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5020 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 4 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 5 ms 5120 KB Output is correct
6 Correct 7 ms 5056 KB Output is correct
7 Correct 4 ms 5068 KB Output is correct
8 Correct 4 ms 5020 KB Output is correct
9 Correct 6 ms 5068 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 780 ms 84700 KB Output is correct
3 Correct 687 ms 97308 KB Output is correct
4 Correct 661 ms 83440 KB Output is correct
5 Correct 620 ms 85904 KB Output is correct
6 Correct 705 ms 87592 KB Output is correct
7 Correct 595 ms 87472 KB Output is correct
8 Correct 730 ms 99952 KB Output is correct
9 Correct 577 ms 90736 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 758 ms 84760 KB Output is correct
3 Correct 626 ms 100216 KB Output is correct
4 Correct 664 ms 83376 KB Output is correct
5 Correct 642 ms 85924 KB Output is correct
6 Correct 707 ms 87768 KB Output is correct
7 Correct 525 ms 90684 KB Output is correct
8 Correct 749 ms 95360 KB Output is correct
9 Correct 557 ms 90396 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5020 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 4 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 5 ms 5120 KB Output is correct
6 Correct 7 ms 5056 KB Output is correct
7 Correct 4 ms 5068 KB Output is correct
8 Correct 4 ms 5020 KB Output is correct
9 Correct 6 ms 5068 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 3 ms 5024 KB Output is correct
13 Correct 12 ms 5912 KB Output is correct
14 Correct 10 ms 5964 KB Output is correct
15 Correct 11 ms 5848 KB Output is correct
16 Correct 11 ms 5836 KB Output is correct
17 Correct 12 ms 5836 KB Output is correct
18 Correct 12 ms 5932 KB Output is correct
19 Correct 12 ms 5940 KB Output is correct
20 Correct 10 ms 5876 KB Output is correct
21 Correct 10 ms 5964 KB Output is correct
22 Correct 12 ms 5836 KB Output is correct
23 Correct 10 ms 5904 KB Output is correct
24 Correct 12 ms 5976 KB Output is correct
25 Correct 12 ms 6092 KB Output is correct
26 Correct 10 ms 5936 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 780 ms 84700 KB Output is correct
3 Correct 687 ms 97308 KB Output is correct
4 Correct 661 ms 83440 KB Output is correct
5 Correct 620 ms 85904 KB Output is correct
6 Correct 705 ms 87592 KB Output is correct
7 Correct 595 ms 87472 KB Output is correct
8 Correct 730 ms 99952 KB Output is correct
9 Correct 577 ms 90736 KB Output is correct
10 Correct 4 ms 4940 KB Output is correct
11 Correct 758 ms 84760 KB Output is correct
12 Correct 626 ms 100216 KB Output is correct
13 Correct 664 ms 83376 KB Output is correct
14 Correct 642 ms 85924 KB Output is correct
15 Correct 707 ms 87768 KB Output is correct
16 Correct 525 ms 90684 KB Output is correct
17 Correct 749 ms 95360 KB Output is correct
18 Correct 557 ms 90396 KB Output is correct
19 Correct 5 ms 4940 KB Output is correct
20 Correct 670 ms 84724 KB Output is correct
21 Correct 620 ms 100424 KB Output is correct
22 Correct 639 ms 83444 KB Output is correct
23 Correct 636 ms 85124 KB Output is correct
24 Execution timed out 2060 ms 82796 KB Time limit exceeded
25 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5020 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 4 ms 5068 KB Output is correct
4 Correct 4 ms 5068 KB Output is correct
5 Correct 5 ms 5120 KB Output is correct
6 Correct 7 ms 5056 KB Output is correct
7 Correct 4 ms 5068 KB Output is correct
8 Correct 4 ms 5020 KB Output is correct
9 Correct 6 ms 5068 KB Output is correct
10 Correct 4 ms 5068 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 4 ms 4940 KB Output is correct
13 Correct 780 ms 84700 KB Output is correct
14 Correct 687 ms 97308 KB Output is correct
15 Correct 661 ms 83440 KB Output is correct
16 Correct 620 ms 85904 KB Output is correct
17 Correct 705 ms 87592 KB Output is correct
18 Correct 595 ms 87472 KB Output is correct
19 Correct 730 ms 99952 KB Output is correct
20 Correct 577 ms 90736 KB Output is correct
21 Correct 4 ms 4940 KB Output is correct
22 Correct 758 ms 84760 KB Output is correct
23 Correct 626 ms 100216 KB Output is correct
24 Correct 664 ms 83376 KB Output is correct
25 Correct 642 ms 85924 KB Output is correct
26 Correct 707 ms 87768 KB Output is correct
27 Correct 525 ms 90684 KB Output is correct
28 Correct 749 ms 95360 KB Output is correct
29 Correct 557 ms 90396 KB Output is correct
30 Correct 3 ms 5024 KB Output is correct
31 Correct 12 ms 5912 KB Output is correct
32 Correct 10 ms 5964 KB Output is correct
33 Correct 11 ms 5848 KB Output is correct
34 Correct 11 ms 5836 KB Output is correct
35 Correct 12 ms 5836 KB Output is correct
36 Correct 12 ms 5932 KB Output is correct
37 Correct 12 ms 5940 KB Output is correct
38 Correct 10 ms 5876 KB Output is correct
39 Correct 10 ms 5964 KB Output is correct
40 Correct 12 ms 5836 KB Output is correct
41 Correct 10 ms 5904 KB Output is correct
42 Correct 12 ms 5976 KB Output is correct
43 Correct 12 ms 6092 KB Output is correct
44 Correct 10 ms 5936 KB Output is correct
45 Correct 5 ms 4940 KB Output is correct
46 Correct 670 ms 84724 KB Output is correct
47 Correct 620 ms 100424 KB Output is correct
48 Correct 639 ms 83444 KB Output is correct
49 Correct 636 ms 85124 KB Output is correct
50 Execution timed out 2060 ms 82796 KB Time limit exceeded
51 Halted 0 ms 0 KB -