oj.uz

Submission #1076746

# Submission time Handle Problem Language Result Execution time Memory
1076746 2024-08-26T16:07:16 Z vjudge1 Construction of Highway (JOI18_construction) C++17
100 / 100
 285 ms 21824 KB 
#include <bits/stdc++.h>
#define Y8o "Construction of Highway"
#define maxn (int) 1e5 + 5
#define ll long long
#define pii pair<int, int>
#define gb(i, j) ((i >> j) & 1)
#define all(x) x.begin(), x.end()
#define _left id * 2, l, mid
#define _right id * 2 + 1, mid + 1, r

#define f first
#define s second

using namespace std;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll GetRandom(ll l, ll r) {
    return uniform_int_distribution<ll> (l, r) (rng);
}
void iof() {
    if(fopen(Y8o".inp", "r"))
    {
        freopen(Y8o".inp", "r", stdin);
//        freopen(Y8o".out", "w", stdout);
    }
    ios_base::sync_with_stdio(0);
    cin.tie(NULL), cout.tie(NULL);
}
void ctime() {
    cerr << "\n" << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
}


int n, a[maxn];
pii ed[maxn];
vector<int> cur, o[maxn];
int sz[maxn], h[maxn], par[maxn];
ll ans;

void dfs(int u = 1, int p = 0) {
    sz[u] = 1;
    for(int v : o[u]) if(v != p) {
        par[v] = u, h[v] = h[u] + 1;
        dfs(v, u);
        sz[u] += sz[v];
    }
}

int chain;
int chainIn[maxn], chainHead[maxn];
void hld(int u = 1, int p = 0) {
    if(!chainHead[chain]) chainHead[chain] = u;
    chainIn[u] = chain;
    int mxchild = -1;
    for(int v : o[u]) if(v != p) {
        if(mxchild == -1 || sz[v] > sz[mxchild]) mxchild = v;
    }
    if(mxchild != -1) hld(mxchild, u);
    for(int v : o[u]) if(v != p && v != mxchild) {
        chain ++, hld(v, u);
    }
}

struct BIT {
    int bit[maxn];

    void update(int x, int val) {
        while(x <= n) bit[x] += val, x += (x & -x);
    }
    int get(int x, int best = 0) {
        while(x) best += bit[x], x -= (x & -x);
        return best;
    }
} B;

vector<pii> child[maxn]; /// f -> node, s -> cl
void prog(int p, int u, int val, vector<pii>& st) {
    vector<pii> tmp; /// f -> cl, s -> sl
    int pre = h[p] - 1;
    while(child[p].size() && h[child[p].back().f] < h[u]) {
        tmp.push_back({ child[p].back().s, h[child[p].back().f] - pre });
        pre = h[child[p].back().f];
        child[p].pop_back();
    }
    if(child[p].size()) tmp.push_back({ child[p].back().s, h[u] - pre });
    child[p].push_back({ u, val });

    reverse(all(tmp));
    for(auto x : tmp) st.push_back(x);
}
int cntqer = 0;
void Upd(int u, int val) {
    cntqer ++;
    vector<pii> st; /// f -> cl, s -> sl
    while(1) {
        if(chainIn[u] == chainIn[1]) {
            prog(1, u, val, st);
            break;
        }
        prog(chainHead[chainIn[u]], u, val, st);
        u = par[chainHead[chainIn[u]]];
    }

    for(auto [cl, sl] : st) ans += 1ll * sl * B.get(cl), B.update(cl + 1, +sl);
    for(auto [cl, sl] : st) B.update(cl + 1, -sl);
}

void solve() {
    cin >> n ;
    for(int i = 1; i <= n; i ++) cin >> a[i], cur.push_back( a[i] );

    sort( all(cur) );
    cur.resize( unique(all(cur)) - cur.begin() );
    for(int i = 1; i <= n; i ++) a[i] = lower_bound(all(cur), a[i]) - cur.begin() + 1;

    for(int i = 1; i <= n - 1; i ++) {
        int u, v; cin >> u >> v;
        o[u].push_back(v), o[v].push_back(u);
        ed[i] = {u, v};
    }

    dfs(), hld();
    Upd(1, a[1]);

    for(int i = 1; i <= n - 1; i ++) {
        int u, v; tie(u, v) = ed[i];
        ans = 0, Upd(v, a[v]);
        cout << ans << '\n';
    }
}


int main() {
    iof();

    int nTest = 1;
//    cin >> nTest;

    while(nTest --) {
        solve();
    }

    ctime();
    return 0;
}

Compilation message

construction.cpp: In function 'void iof()':
construction.cpp:23:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   23 |         freopen(Y8o".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4956 KB Output is correct
2 Correct 4 ms 4956 KB Output is correct
3 Correct 3 ms 5212 KB Output is correct
4 Correct 3 ms 5212 KB Output is correct
5 Correct 3 ms 5208 KB Output is correct
6 Correct 3 ms 5148 KB Output is correct
7 Correct 4 ms 5212 KB Output is correct
8 Correct 3 ms 5208 KB Output is correct
9 Correct 3 ms 5208 KB Output is correct
10 Correct 3 ms 5212 KB Output is correct
11 Correct 3 ms 5208 KB Output is correct
12 Correct 3 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 4 ms 5212 KB Output is correct
15 Correct 4 ms 5212 KB Output is correct
16 Correct 4 ms 5216 KB Output is correct
17 Correct 3 ms 5208 KB Output is correct
18 Correct 4 ms 5212 KB Output is correct
19 Correct 3 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 4 ms 5212 KB Output is correct
22 Correct 4 ms 5208 KB Output is correct
23 Correct 3 ms 5212 KB Output is correct
24 Correct 3 ms 5212 KB Output is correct
25 Correct 3 ms 5212 KB Output is correct
26 Correct 4 ms 5212 KB Output is correct
27 Correct 4 ms 5212 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 3 ms 5212 KB Output is correct
30 Correct 4 ms 5212 KB Output is correct
31 Correct 4 ms 5376 KB Output is correct
32 Correct 3 ms 5212 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 4 ms 5208 KB Output is correct
35 Correct 3 ms 5212 KB Output is correct
36 Correct 3 ms 5208 KB Output is correct
37 Correct 4 ms 5212 KB Output is correct
38 Correct 4 ms 5212 KB Output is correct
39 Correct 4 ms 5172 KB Output is correct
40 Correct 4 ms 5212 KB Output is correct
41 Correct 4 ms 5176 KB Output is correct
42 Correct 3 ms 5212 KB Output is correct
43 Correct 3 ms 5212 KB Output is correct
44 Correct 4 ms 5212 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4956 KB Output is correct
2 Correct 4 ms 4956 KB Output is correct
3 Correct 3 ms 5212 KB Output is correct
4 Correct 3 ms 5212 KB Output is correct
5 Correct 3 ms 5208 KB Output is correct
6 Correct 3 ms 5148 KB Output is correct
7 Correct 4 ms 5212 KB Output is correct
8 Correct 3 ms 5208 KB Output is correct
9 Correct 3 ms 5208 KB Output is correct
10 Correct 3 ms 5212 KB Output is correct
11 Correct 3 ms 5208 KB Output is correct
12 Correct 3 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 4 ms 5212 KB Output is correct
15 Correct 4 ms 5212 KB Output is correct
16 Correct 4 ms 5216 KB Output is correct
17 Correct 3 ms 5208 KB Output is correct
18 Correct 4 ms 5212 KB Output is correct
19 Correct 3 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 4 ms 5212 KB Output is correct
22 Correct 4 ms 5208 KB Output is correct
23 Correct 3 ms 5212 KB Output is correct
24 Correct 3 ms 5212 KB Output is correct
25 Correct 3 ms 5212 KB Output is correct
26 Correct 4 ms 5212 KB Output is correct
27 Correct 4 ms 5212 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 3 ms 5212 KB Output is correct
30 Correct 4 ms 5212 KB Output is correct
31 Correct 4 ms 5376 KB Output is correct
32 Correct 3 ms 5212 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 4 ms 5208 KB Output is correct
35 Correct 3 ms 5212 KB Output is correct
36 Correct 3 ms 5208 KB Output is correct
37 Correct 4 ms 5212 KB Output is correct
38 Correct 4 ms 5212 KB Output is correct
39 Correct 4 ms 5172 KB Output is correct
40 Correct 4 ms 5212 KB Output is correct
41 Correct 4 ms 5176 KB Output is correct
42 Correct 3 ms 5212 KB Output is correct
43 Correct 3 ms 5212 KB Output is correct
44 Correct 4 ms 5212 KB Output is correct
45 Correct 4 ms 5148 KB Output is correct
46 Correct 10 ms 5464 KB Output is correct
47 Correct 8 ms 5464 KB Output is correct
48 Correct 10 ms 5464 KB Output is correct
49 Correct 7 ms 5720 KB Output is correct
50 Correct 7 ms 5724 KB Output is correct
51 Correct 5 ms 5720 KB Output is correct
52 Correct 4 ms 5724 KB Output is correct
53 Correct 5 ms 5724 KB Output is correct
54 Correct 7 ms 5724 KB Output is correct
55 Correct 6 ms 5736 KB Output is correct
56 Correct 7 ms 5568 KB Output is correct
57 Correct 8 ms 5468 KB Output is correct
58 Correct 7 ms 5440 KB Output is correct
59 Correct 8 ms 5468 KB Output is correct
60 Correct 10 ms 5468 KB Output is correct
61 Correct 7 ms 5724 KB Output is correct
62 Correct 8 ms 5724 KB Output is correct
63 Correct 5 ms 5724 KB Output is correct
64 Correct 8 ms 5716 KB Output is correct
65 Correct 9 ms 5464 KB Output is correct
66 Correct 9 ms 5468 KB Output is correct
67 Correct 9 ms 5468 KB Output is correct
68 Correct 6 ms 5724 KB Output is correct
69 Correct 5 ms 5724 KB Output is correct
70 Correct 5 ms 5724 KB Output is correct
71 Correct 7 ms 5720 KB Output is correct
72 Correct 7 ms 5468 KB Output is correct
73 Correct 7 ms 5468 KB Output is correct
74 Correct 6 ms 5724 KB Output is correct
75 Correct 4 ms 5468 KB Output is correct
76 Correct 5 ms 5468 KB Output is correct
77 Correct 7 ms 5492 KB Output is correct
78 Correct 5 ms 5468 KB Output is correct
79 Correct 7 ms 5636 KB Output is correct
80 Correct 7 ms 5440 KB Output is correct
81 Correct 7 ms 5720 KB Output is correct
82 Correct 7 ms 5464 KB Output is correct
83 Correct 7 ms 5528 KB Output is correct
84 Correct 5 ms 5468 KB Output is correct
85 Correct 5 ms 5464 KB Output is correct
86 Correct 5 ms 5472 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4956 KB Output is correct
2 Correct 4 ms 4956 KB Output is correct
3 Correct 3 ms 5212 KB Output is correct
4 Correct 3 ms 5212 KB Output is correct
5 Correct 3 ms 5208 KB Output is correct
6 Correct 3 ms 5148 KB Output is correct
7 Correct 4 ms 5212 KB Output is correct
8 Correct 3 ms 5208 KB Output is correct
9 Correct 3 ms 5208 KB Output is correct
10 Correct 3 ms 5212 KB Output is correct
11 Correct 3 ms 5208 KB Output is correct
12 Correct 3 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 4 ms 5212 KB Output is correct
15 Correct 4 ms 5212 KB Output is correct
16 Correct 4 ms 5216 KB Output is correct
17 Correct 3 ms 5208 KB Output is correct
18 Correct 4 ms 5212 KB Output is correct
19 Correct 3 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 4 ms 5212 KB Output is correct
22 Correct 4 ms 5208 KB Output is correct
23 Correct 3 ms 5212 KB Output is correct
24 Correct 3 ms 5212 KB Output is correct
25 Correct 3 ms 5212 KB Output is correct
26 Correct 4 ms 5212 KB Output is correct
27 Correct 4 ms 5212 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 3 ms 5212 KB Output is correct
30 Correct 4 ms 5212 KB Output is correct
31 Correct 4 ms 5376 KB Output is correct
32 Correct 3 ms 5212 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 4 ms 5208 KB Output is correct
35 Correct 3 ms 5212 KB Output is correct
36 Correct 3 ms 5208 KB Output is correct
37 Correct 4 ms 5212 KB Output is correct
38 Correct 4 ms 5212 KB Output is correct
39 Correct 4 ms 5172 KB Output is correct
40 Correct 4 ms 5212 KB Output is correct
41 Correct 4 ms 5176 KB Output is correct
42 Correct 3 ms 5212 KB Output is correct
43 Correct 3 ms 5212 KB Output is correct
44 Correct 4 ms 5212 KB Output is correct
45 Correct 4 ms 5148 KB Output is correct
46 Correct 10 ms 5464 KB Output is correct
47 Correct 8 ms 5464 KB Output is correct
48 Correct 10 ms 5464 KB Output is correct
49 Correct 7 ms 5720 KB Output is correct
50 Correct 7 ms 5724 KB Output is correct
51 Correct 5 ms 5720 KB Output is correct
52 Correct 4 ms 5724 KB Output is correct
53 Correct 5 ms 5724 KB Output is correct
54 Correct 7 ms 5724 KB Output is correct
55 Correct 6 ms 5736 KB Output is correct
56 Correct 7 ms 5568 KB Output is correct
57 Correct 8 ms 5468 KB Output is correct
58 Correct 7 ms 5440 KB Output is correct
59 Correct 8 ms 5468 KB Output is correct
60 Correct 10 ms 5468 KB Output is correct
61 Correct 7 ms 5724 KB Output is correct
62 Correct 8 ms 5724 KB Output is correct
63 Correct 5 ms 5724 KB Output is correct
64 Correct 8 ms 5716 KB Output is correct
65 Correct 9 ms 5464 KB Output is correct
66 Correct 9 ms 5468 KB Output is correct
67 Correct 9 ms 5468 KB Output is correct
68 Correct 6 ms 5724 KB Output is correct
69 Correct 5 ms 5724 KB Output is correct
70 Correct 5 ms 5724 KB Output is correct
71 Correct 7 ms 5720 KB Output is correct
72 Correct 7 ms 5468 KB Output is correct
73 Correct 7 ms 5468 KB Output is correct
74 Correct 6 ms 5724 KB Output is correct
75 Correct 4 ms 5468 KB Output is correct
76 Correct 5 ms 5468 KB Output is correct
77 Correct 7 ms 5492 KB Output is correct
78 Correct 5 ms 5468 KB Output is correct
79 Correct 7 ms 5636 KB Output is correct
80 Correct 7 ms 5440 KB Output is correct
81 Correct 7 ms 5720 KB Output is correct
82 Correct 7 ms 5464 KB Output is correct
83 Correct 7 ms 5528 KB Output is correct
84 Correct 5 ms 5468 KB Output is correct
85 Correct 5 ms 5464 KB Output is correct
86 Correct 5 ms 5472 KB Output is correct
87 Correct 20 ms 6236 KB Output is correct
88 Correct 45 ms 8272 KB Output is correct
89 Correct 169 ms 16500 KB Output is correct
90 Correct 201 ms 16188 KB Output is correct
91 Correct 189 ms 16084 KB Output is correct
92 Correct 67 ms 21816 KB Output is correct
93 Correct 105 ms 21824 KB Output is correct
94 Correct 65 ms 21768 KB Output is correct
95 Correct 114 ms 20820 KB Output is correct
96 Correct 90 ms 21184 KB Output is correct
97 Correct 91 ms 21140 KB Output is correct
98 Correct 89 ms 21332 KB Output is correct
99 Correct 74 ms 19920 KB Output is correct
100 Correct 213 ms 15320 KB Output is correct
101 Correct 242 ms 15416 KB Output is correct
102 Correct 285 ms 15572 KB Output is correct
103 Correct 242 ms 15580 KB Output is correct
104 Correct 94 ms 19756 KB Output is correct
105 Correct 81 ms 19924 KB Output is correct
106 Correct 77 ms 19924 KB Output is correct
107 Correct 125 ms 15064 KB Output is correct
108 Correct 144 ms 15136 KB Output is correct
109 Correct 156 ms 15568 KB Output is correct
110 Correct 60 ms 20944 KB Output is correct
111 Correct 83 ms 20828 KB Output is correct
112 Correct 79 ms 20308 KB Output is correct
113 Correct 69 ms 18900 KB Output is correct
114 Correct 209 ms 15308 KB Output is correct
115 Correct 185 ms 14528 KB Output is correct
116 Correct 66 ms 18896 KB Output is correct
117 Correct 76 ms 17624 KB Output is correct
118 Correct 83 ms 17156 KB Output is correct
119 Correct 82 ms 16912 KB Output is correct
120 Correct 82 ms 17104 KB Output is correct
121 Correct 70 ms 16464 KB Output is correct
122 Correct 71 ms 16228 KB Output is correct
123 Correct 101 ms 17732 KB Output is correct
124 Correct 87 ms 17224 KB Output is correct
125 Correct 94 ms 16912 KB Output is correct
126 Correct 76 ms 17212 KB Output is correct
127 Correct 83 ms 16460 KB Output is correct
128 Correct 84 ms 16344 KB Output is correct