oj.uz

Submission #223971

# Submission time Handle Problem Language Result Execution time Memory
223971 2020-04-16T23:06:11 Z osaaateiasavtnl Designated Cities (JOI19_designated_cities) C++14
100 / 100
 1950 ms 51600 KB 
#include<bits/stdc++.h>
using namespace std;
 
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcount
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC

const int MEM = 5e7;
char mem[MEM];
int ptr = 0;
void* operator new(size_t n) {
    ptr += n;
    return mem + (ptr - n);
}
void operator delete (void*) {}
 
const int LG = 20, N = 2e5 + 7;
const ll INF = 1e18;
vector <ii> g[N];
int n;
bool used[N], centr[N];
 
int cnt[N];
void calc(int u, int p) {
    cnt[u] = 1;
    used[u] = 1;
    for (auto e : g[u]) {
        int v = e.f, c = e.s;
        if (v != p && !centr[v]) {
            calc(v, u);
            cnt[u] += cnt[v];
        }   
    }   
}   
int get(int u, int p, int all) {
    int mx = -1;
    for (auto e : g[u]) {
        int v = e.f;
        if (v != p && !centr[v]) {
            if (mx == -1 || cnt[mx] < cnt[v])
                mx = v;
        }   
    }   
    if (mx == -1 || cnt[mx] * 2 <= all)
        return u;
    else
        return get(mx, u, all);
}   
ll out[N], sum[N];
void calc_sum(int u, int p) {
    sum[u] = 0;
    for (auto e : g[u]) {
        int v = e.f, c = e.s;
        if (v != p && !centr[v]) {
            calc_sum(v, u);
            sum[u] += sum[v] + c;
        }   
    }   
}   
void add_out(int u, int p, ll x) {
    out[u] += x;
    for (auto e : g[u]) {
        int v = e.f, c = e.s;
        if (v != p && !centr[v]) {
            add_out(v, u, x);
        }   
    }   
}
 
vector <ii> tree[N];
void build(int u, int p) {  
    tree[u].clear();
    for (auto e : g[u]) {
        int v = e.f, c = e.s;
        if (v != p && !centr[v]) {
            tree[u].app(mp(v, c));
            build(v, u);
        }       
    }   
}
int to[N];
ll h[N];
void ladder(int u, ll cur, ll &sum) {
    h[u] = cur;
    to[u] = -1;
    for (auto e : tree[u]) {
        ladder(e.f, cur + e.s, sum);
        sum += e.s;
        h[u] = max(h[u], h[e.f]);
        if (to[u] == -1 || h[to[u]] < h[e.f])
            to[u] = e.f;
    }   
}   
void print(int u, int ded, ll cur, vector <pair <ll, int> > &a, bool root) {
    if (tree[u].empty())
        a.app(mp(cur, ded));
    else
        a.app(mp(0, ded));
                    
    for (auto e : tree[u]) {
        int d = ded;
        if (root) 
            d = e.f;
 
        ll c = cur;
        if (to[u] != e.f)
            c = 0;
        c += e.s;            
 
        print(e.f, d, c, a, 0);
    }   
}   
 
ll ans[N];
vector <pair <ll, int> > a;
void solve(int c) {    
    build(c, c);
    ll sum = 0;
    ladder(c, 0, sum);
    a.clear();
    print(c, c, 0, a, 1);
    sort(all(a)); reverse(all(a));
 
    ans[1] = min(ans[1], out[c] + sum);
 
    int l = -1;
    for (int i = 1; i < a.size(); ++i) {
        if (a[i].s != a[0].s) {
            l = i;
            break;
        }   
    }   
    sum -= a[0].f;
    for (int i = 1; i < a.size(); ++i) {
        sum -= a[i].f;
        if (l <= i) {
            ans[i + 1] = min(ans[i + 1], out[c] + sum);
        }       
        else {
            ans[i + 1] = min(ans[i + 1], out[c] + sum + a[i].f - a[l].f);
        }   
    }   
}
 
signed main() {
    #ifdef HOME
    freopen("input.txt", "r", stdin);
    #else
    #define endl '\n'
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif
    cin >> n;
    for (int i = 0; i < n - 1; ++i) {
        int u, v, a, b;
        cin >> u >> v >> a >> b;
        g[u].app(mp(v, a));
        g[v].app(mp(u, b));
    }   
    for (int i = 0; i < N; ++i)
        ans[i] = INF;
             
    for (int t = 0; t < LG; ++t) {
        memset(used, 0, sizeof used);
        for (int i = 1; i <= n; ++i) {
            if (!used[i] && !centr[i]) {
 
                calc(i, i);
                int c = get(i, i, cnt[i]);
                solve(c);
                calc_sum(c, c);
                for (auto e : g[c]) {
                    int v = e.f, cost = e.s;
                    if (!centr[v]) {
                        int add = 0;
                        for (auto e : g[v])
                            if (e.f == c)
                                add = e.s;
                        add_out(v, c, sum[c] - sum[v] - cost + add);
                    }   
                }   
                centr[c] = 1;
 
            }   
        }   
    }   
    int q;
    cin >> q;
    while (q--) {
        int k;
        cin >> k;
        cout << ans[k] << endl;
    }   
    
    #ifdef HOME
    cerr << Time << endl;
    #endif
}

Compilation message

designated_cities.cpp: In function 'void calc(int, int)':
designated_cities.cpp:34:22: warning: unused variable 'c' [-Wunused-variable]
         int v = e.f, c = e.s;
                      ^
designated_cities.cpp: In function 'void add_out(int, int, long long int)':
designated_cities.cpp:69:22: warning: unused variable 'c' [-Wunused-variable]
         int v = e.f, c = e.s;
                      ^
designated_cities.cpp: In function 'void solve(int)':
designated_cities.cpp:133:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 1; i < a.size(); ++i) {
                     ~~^~~~~~~~~~
designated_cities.cpp:140:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 1; i < a.size(); ++i) {
                     ~~^~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 11520 KB Output is correct
2 Correct 9 ms 11520 KB Output is correct
3 Correct 9 ms 11520 KB Output is correct
4 Correct 9 ms 11520 KB Output is correct
5 Correct 9 ms 11520 KB Output is correct
6 Correct 9 ms 11520 KB Output is correct
7 Correct 9 ms 11520 KB Output is correct
8 Correct 9 ms 11520 KB Output is correct
9 Correct 9 ms 11520 KB Output is correct
10 Correct 9 ms 11520 KB Output is correct
11 Correct 9 ms 11520 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 11520 KB Output is correct
2 Correct 1209 ms 34216 KB Output is correct
3 Correct 1929 ms 43720 KB Output is correct
4 Correct 1288 ms 39264 KB Output is correct
5 Correct 443 ms 40700 KB Output is correct
6 Correct 1545 ms 41824 KB Output is correct
7 Correct 300 ms 39928 KB Output is correct
8 Correct 1914 ms 49848 KB Output is correct
9 Correct 198 ms 40440 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 11520 KB Output is correct
2 Correct 1251 ms 34316 KB Output is correct
3 Correct 1935 ms 44580 KB Output is correct
4 Correct 1276 ms 39288 KB Output is correct
5 Correct 443 ms 40824 KB Output is correct
6 Correct 1588 ms 42404 KB Output is correct
7 Correct 228 ms 40640 KB Output is correct
8 Correct 1855 ms 47120 KB Output is correct
9 Correct 203 ms 40184 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 11520 KB Output is correct
2 Correct 9 ms 11520 KB Output is correct
3 Correct 9 ms 11520 KB Output is correct
4 Correct 9 ms 11520 KB Output is correct
5 Correct 9 ms 11520 KB Output is correct
6 Correct 9 ms 11520 KB Output is correct
7 Correct 9 ms 11520 KB Output is correct
8 Correct 9 ms 11520 KB Output is correct
9 Correct 9 ms 11520 KB Output is correct
10 Correct 9 ms 11520 KB Output is correct
11 Correct 9 ms 11520 KB Output is correct
12 Correct 9 ms 11520 KB Output is correct
13 Correct 13 ms 11776 KB Output is correct
14 Correct 16 ms 11904 KB Output is correct
15 Correct 14 ms 11828 KB Output is correct
16 Correct 14 ms 11776 KB Output is correct
17 Correct 14 ms 11752 KB Output is correct
18 Correct 13 ms 11776 KB Output is correct
19 Correct 13 ms 11776 KB Output is correct
20 Correct 12 ms 11776 KB Output is correct
21 Correct 14 ms 11776 KB Output is correct
22 Correct 14 ms 11776 KB Output is correct
23 Correct 13 ms 11776 KB Output is correct
24 Correct 11 ms 11776 KB Output is correct
25 Correct 14 ms 11904 KB Output is correct
26 Correct 13 ms 11776 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 11520 KB Output is correct
2 Correct 1209 ms 34216 KB Output is correct
3 Correct 1929 ms 43720 KB Output is correct
4 Correct 1288 ms 39264 KB Output is correct
5 Correct 443 ms 40700 KB Output is correct
6 Correct 1545 ms 41824 KB Output is correct
7 Correct 300 ms 39928 KB Output is correct
8 Correct 1914 ms 49848 KB Output is correct
9 Correct 198 ms 40440 KB Output is correct
10 Correct 9 ms 11520 KB Output is correct
11 Correct 1251 ms 34316 KB Output is correct
12 Correct 1935 ms 44580 KB Output is correct
13 Correct 1276 ms 39288 KB Output is correct
14 Correct 443 ms 40824 KB Output is correct
15 Correct 1588 ms 42404 KB Output is correct
16 Correct 228 ms 40640 KB Output is correct
17 Correct 1855 ms 47120 KB Output is correct
18 Correct 203 ms 40184 KB Output is correct
19 Correct 9 ms 11520 KB Output is correct
20 Correct 1275 ms 40680 KB Output is correct
21 Correct 1950 ms 51176 KB Output is correct
22 Correct 1226 ms 39288 KB Output is correct
23 Correct 1259 ms 40644 KB Output is correct
24 Correct 1280 ms 39544 KB Output is correct
25 Correct 1257 ms 40472 KB Output is correct
26 Correct 1245 ms 39584 KB Output is correct
27 Correct 434 ms 40184 KB Output is correct
28 Correct 1567 ms 41996 KB Output is correct
29 Correct 1251 ms 40756 KB Output is correct
30 Correct 1043 ms 39908 KB Output is correct
31 Correct 272 ms 39672 KB Output is correct
32 Correct 1862 ms 47480 KB Output is correct
33 Correct 192 ms 40440 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 11520 KB Output is correct
2 Correct 9 ms 11520 KB Output is correct
3 Correct 9 ms 11520 KB Output is correct
4 Correct 9 ms 11520 KB Output is correct
5 Correct 9 ms 11520 KB Output is correct
6 Correct 9 ms 11520 KB Output is correct
7 Correct 9 ms 11520 KB Output is correct
8 Correct 9 ms 11520 KB Output is correct
9 Correct 9 ms 11520 KB Output is correct
10 Correct 9 ms 11520 KB Output is correct
11 Correct 9 ms 11520 KB Output is correct
12 Correct 10 ms 11520 KB Output is correct
13 Correct 1209 ms 34216 KB Output is correct
14 Correct 1929 ms 43720 KB Output is correct
15 Correct 1288 ms 39264 KB Output is correct
16 Correct 443 ms 40700 KB Output is correct
17 Correct 1545 ms 41824 KB Output is correct
18 Correct 300 ms 39928 KB Output is correct
19 Correct 1914 ms 49848 KB Output is correct
20 Correct 198 ms 40440 KB Output is correct
21 Correct 9 ms 11520 KB Output is correct
22 Correct 1251 ms 34316 KB Output is correct
23 Correct 1935 ms 44580 KB Output is correct
24 Correct 1276 ms 39288 KB Output is correct
25 Correct 443 ms 40824 KB Output is correct
26 Correct 1588 ms 42404 KB Output is correct
27 Correct 228 ms 40640 KB Output is correct
28 Correct 1855 ms 47120 KB Output is correct
29 Correct 203 ms 40184 KB Output is correct
30 Correct 9 ms 11520 KB Output is correct
31 Correct 13 ms 11776 KB Output is correct
32 Correct 16 ms 11904 KB Output is correct
33 Correct 14 ms 11828 KB Output is correct
34 Correct 14 ms 11776 KB Output is correct
35 Correct 14 ms 11752 KB Output is correct
36 Correct 13 ms 11776 KB Output is correct
37 Correct 13 ms 11776 KB Output is correct
38 Correct 12 ms 11776 KB Output is correct
39 Correct 14 ms 11776 KB Output is correct
40 Correct 14 ms 11776 KB Output is correct
41 Correct 13 ms 11776 KB Output is correct
42 Correct 11 ms 11776 KB Output is correct
43 Correct 14 ms 11904 KB Output is correct
44 Correct 13 ms 11776 KB Output is correct
45 Correct 9 ms 11520 KB Output is correct
46 Correct 1275 ms 40680 KB Output is correct
47 Correct 1950 ms 51176 KB Output is correct
48 Correct 1226 ms 39288 KB Output is correct
49 Correct 1259 ms 40644 KB Output is correct
50 Correct 1280 ms 39544 KB Output is correct
51 Correct 1257 ms 40472 KB Output is correct
52 Correct 1245 ms 39584 KB Output is correct
53 Correct 434 ms 40184 KB Output is correct
54 Correct 1567 ms 41996 KB Output is correct
55 Correct 1251 ms 40756 KB Output is correct
56 Correct 1043 ms 39908 KB Output is correct
57 Correct 272 ms 39672 KB Output is correct
58 Correct 1862 ms 47480 KB Output is correct
59 Correct 192 ms 40440 KB Output is correct
60 Correct 10 ms 11520 KB Output is correct
61 Correct 1294 ms 43260 KB Output is correct
62 Correct 1935 ms 51600 KB Output is correct
63 Correct 1257 ms 42088 KB Output is correct
64 Correct 1228 ms 43384 KB Output is correct
65 Correct 1245 ms 41848 KB Output is correct
66 Correct 1313 ms 43148 KB Output is correct
67 Correct 1281 ms 42104 KB Output is correct
68 Correct 496 ms 43128 KB Output is correct
69 Correct 1547 ms 44792 KB Output is correct
70 Correct 1310 ms 43260 KB Output is correct
71 Correct 1051 ms 42616 KB Output is correct
72 Correct 333 ms 43128 KB Output is correct
73 Correct 1822 ms 49744 KB Output is correct
74 Correct 235 ms 44664 KB Output is correct