답안 #799957

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
799957	2023-08-01T08:51:03 Z	vjudge1	Construction of Highway (JOI18_construction)	C++17	100 / 100	158 ms	22756 KB

construction

#include<bits/stdc++.h>

using namespace std;
using ll = long long;

const int N = 1e5 + 10;

struct object {
    int color, len;
};
ll numberOfInverse(object *a, int n) {
    static object b[N];

    if(n == 1) return 0;
    ll ans = numberOfInverse(a, n / 2) + numberOfInverse(a + n / 2, (n + 1) / 2);
    int lb = 0, rb = 0, sum = 0;
    for(int i = n / 2; i < n; i++) {
        while(lb < n / 2 && a[lb].color < a[i].color) sum += a[lb++].len;
        ans += 1ll * a[i].len * sum;
    }    
    lb = 0, rb = n / 2;
    for(int i = 0; i < n; i++) {
        if(lb == n / 2) {
            b[i] = a[rb++];
            continue;
        }
        if(rb == n) {
            b[i] = a[lb++];
            continue;
        }
        b[i] = (a[lb].color <= a[rb].color ? a[lb++] : a[rb++]);
    }
    for(int i = 0; i < n; i++) 
        a[i] = b[i];
    return ans;
}

int n;
int C[N];
int sz[N];
int head[N];
int depth[N];
int heavy[N];
int parent[N];

vector<object> v[N];
vector<pair<int, int>> edges;
vector<int> g[N];

void precalc(int s, int p) {
    parent[s] = p; sz[s] = 1;
    for(int to : g[s]) {
        depth[to] = depth[s] + 1;
        precalc(to, s);
        sz[s] += sz[to];
        if(sz[heavy[s]] < sz[to]) heavy[s] = to;
    }
}
void decompose(int s, int h) {
    head[s] = h;
    if(heavy[s]) decompose(heavy[s], h);
    for(int to : g[s]) {
        if(to == heavy[s]) continue;
        decompose(to, to);
    }
    v[h].push_back({C[s], 1});
}

int len = 0;
object t[N]; 

ll query(int a, int x) {
    for(int ver = a; ver; ver = parent[head[ver]]) {
        int u = head[ver];
        int k = depth[ver] - depth[u] + 1;
        vector<object> t1;
        while(v[u].back().len <= k) {
            k -= v[u].back().len;
            t1.push_back(v[u].back());
            v[u].pop_back();
        }
        if(k) {
            object z = {v[u].back().color, k};
            v[u].back().len -= k;
            t1.push_back(z);
            k = 0;
        }
        v[u].push_back({x, depth[ver] - depth[u] + 1});
        while(!t1.empty()) {
            t[len++] = t1.back();
            t1.pop_back();
        }
    }
    // for(int i = 0; i < len; i++) 
    //     cerr << '(' << t[i].color << ' ' << t[i].len << ')' << ' ';
    // cout << '\n';
    ll res = numberOfInverse(t, len);
    len = 0;
    return res;
} 

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    cin >> n;
    for(int i = 1; i <= n; i++) cin >> C[i];
    for(int i = 1; i < n; i++) {
        int a, b;
        cin >> a >> b;
        edges.push_back({a, b});
        g[a].push_back(b);
    }
    precalc(1, 0);
    decompose(1, 1);
    for(auto [a, b] : edges) {
        cout << query(a, C[b]) << '\n';
    }
}

Subtask #1
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	5028 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	5056 KB	Output is correct
5	Correct	4 ms	5040 KB	Output is correct
6	Correct	3 ms	5076 KB	Output is correct
7	Correct	4 ms	5032 KB	Output is correct
8	Correct	4 ms	5076 KB	Output is correct
9	Correct	3 ms	5036 KB	Output is correct
10	Correct	3 ms	5120 KB	Output is correct
11	Correct	3 ms	5076 KB	Output is correct
12	Correct	2 ms	5076 KB	Output is correct
13	Correct	3 ms	5040 KB	Output is correct
14	Correct	3 ms	5076 KB	Output is correct
15	Correct	3 ms	5032 KB	Output is correct
16	Correct	4 ms	5040 KB	Output is correct
17	Correct	3 ms	5076 KB	Output is correct
18	Correct	3 ms	5040 KB	Output is correct
19	Correct	3 ms	5076 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5076 KB	Output is correct
22	Correct	4 ms	5032 KB	Output is correct
23	Correct	4 ms	5076 KB	Output is correct
24	Correct	3 ms	5032 KB	Output is correct
25	Correct	4 ms	5076 KB	Output is correct
26	Correct	3 ms	5024 KB	Output is correct
27	Correct	4 ms	5076 KB	Output is correct
28	Correct	2 ms	5076 KB	Output is correct
29	Correct	3 ms	5036 KB	Output is correct
30	Correct	4 ms	5036 KB	Output is correct
31	Correct	3 ms	5076 KB	Output is correct
32	Correct	4 ms	5036 KB	Output is correct
33	Correct	3 ms	5076 KB	Output is correct
34	Correct	3 ms	5076 KB	Output is correct
35	Correct	3 ms	5036 KB	Output is correct
36	Correct	3 ms	5076 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	3 ms	5076 KB	Output is correct
39	Correct	3 ms	5036 KB	Output is correct
40	Correct	3 ms	5032 KB	Output is correct
41	Correct	4 ms	5044 KB	Output is correct
42	Correct	3 ms	5032 KB	Output is correct
43	Correct	3 ms	5076 KB	Output is correct
44	Correct	3 ms	5076 KB	Output is correct

Subtask #2
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	5028 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	5056 KB	Output is correct
5	Correct	4 ms	5040 KB	Output is correct
6	Correct	3 ms	5076 KB	Output is correct
7	Correct	4 ms	5032 KB	Output is correct
8	Correct	4 ms	5076 KB	Output is correct
9	Correct	3 ms	5036 KB	Output is correct
10	Correct	3 ms	5120 KB	Output is correct
11	Correct	3 ms	5076 KB	Output is correct
12	Correct	2 ms	5076 KB	Output is correct
13	Correct	3 ms	5040 KB	Output is correct
14	Correct	3 ms	5076 KB	Output is correct
15	Correct	3 ms	5032 KB	Output is correct
16	Correct	4 ms	5040 KB	Output is correct
17	Correct	3 ms	5076 KB	Output is correct
18	Correct	3 ms	5040 KB	Output is correct
19	Correct	3 ms	5076 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5076 KB	Output is correct
22	Correct	4 ms	5032 KB	Output is correct
23	Correct	4 ms	5076 KB	Output is correct
24	Correct	3 ms	5032 KB	Output is correct
25	Correct	4 ms	5076 KB	Output is correct
26	Correct	3 ms	5024 KB	Output is correct
27	Correct	4 ms	5076 KB	Output is correct
28	Correct	2 ms	5076 KB	Output is correct
29	Correct	3 ms	5036 KB	Output is correct
30	Correct	4 ms	5036 KB	Output is correct
31	Correct	3 ms	5076 KB	Output is correct
32	Correct	4 ms	5036 KB	Output is correct
33	Correct	3 ms	5076 KB	Output is correct
34	Correct	3 ms	5076 KB	Output is correct
35	Correct	3 ms	5036 KB	Output is correct
36	Correct	3 ms	5076 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	3 ms	5076 KB	Output is correct
39	Correct	3 ms	5036 KB	Output is correct
40	Correct	3 ms	5032 KB	Output is correct
41	Correct	4 ms	5044 KB	Output is correct
42	Correct	3 ms	5032 KB	Output is correct
43	Correct	3 ms	5076 KB	Output is correct
44	Correct	3 ms	5076 KB	Output is correct
45	Correct	4 ms	5064 KB	Output is correct
46	Correct	7 ms	5380 KB	Output is correct
47	Correct	5 ms	5332 KB	Output is correct
48	Correct	5 ms	5332 KB	Output is correct
49	Correct	4 ms	5684 KB	Output is correct
50	Correct	4 ms	5680 KB	Output is correct
51	Correct	5 ms	5716 KB	Output is correct
52	Correct	6 ms	5580 KB	Output is correct
53	Correct	5 ms	5576 KB	Output is correct
54	Correct	5 ms	5540 KB	Output is correct
55	Correct	4 ms	5556 KB	Output is correct
56	Correct	5 ms	5460 KB	Output is correct
57	Correct	7 ms	5300 KB	Output is correct
58	Correct	6 ms	5332 KB	Output is correct
59	Correct	6 ms	5296 KB	Output is correct
60	Correct	10 ms	5404 KB	Output is correct
61	Correct	6 ms	5552 KB	Output is correct
62	Correct	6 ms	5508 KB	Output is correct
63	Correct	4 ms	5556 KB	Output is correct
64	Correct	5 ms	5296 KB	Output is correct
65	Correct	5 ms	5332 KB	Output is correct
66	Correct	5 ms	5296 KB	Output is correct
67	Correct	6 ms	5332 KB	Output is correct
68	Correct	5 ms	5684 KB	Output is correct
69	Correct	5 ms	5588 KB	Output is correct
70	Correct	4 ms	5588 KB	Output is correct
71	Correct	4 ms	5460 KB	Output is correct
72	Correct	6 ms	5356 KB	Output is correct
73	Correct	6 ms	5332 KB	Output is correct
74	Correct	4 ms	5460 KB	Output is correct
75	Correct	5 ms	5460 KB	Output is correct
76	Correct	4 ms	5424 KB	Output is correct
77	Correct	4 ms	5332 KB	Output is correct
78	Correct	4 ms	5332 KB	Output is correct
79	Correct	6 ms	5332 KB	Output is correct
80	Correct	5 ms	5332 KB	Output is correct
81	Correct	4 ms	5428 KB	Output is correct
82	Correct	4 ms	5332 KB	Output is correct
83	Correct	4 ms	5332 KB	Output is correct
84	Correct	4 ms	5460 KB	Output is correct
85	Correct	4 ms	5432 KB	Output is correct
86	Correct	5 ms	5332 KB	Output is correct

Subtask #3
84.0 / 84.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	5028 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	5056 KB	Output is correct
5	Correct	4 ms	5040 KB	Output is correct
6	Correct	3 ms	5076 KB	Output is correct
7	Correct	4 ms	5032 KB	Output is correct
8	Correct	4 ms	5076 KB	Output is correct
9	Correct	3 ms	5036 KB	Output is correct
10	Correct	3 ms	5120 KB	Output is correct
11	Correct	3 ms	5076 KB	Output is correct
12	Correct	2 ms	5076 KB	Output is correct
13	Correct	3 ms	5040 KB	Output is correct
14	Correct	3 ms	5076 KB	Output is correct
15	Correct	3 ms	5032 KB	Output is correct
16	Correct	4 ms	5040 KB	Output is correct
17	Correct	3 ms	5076 KB	Output is correct
18	Correct	3 ms	5040 KB	Output is correct
19	Correct	3 ms	5076 KB	Output is correct
20	Correct	3 ms	5076 KB	Output is correct
21	Correct	3 ms	5076 KB	Output is correct
22	Correct	4 ms	5032 KB	Output is correct
23	Correct	4 ms	5076 KB	Output is correct
24	Correct	3 ms	5032 KB	Output is correct
25	Correct	4 ms	5076 KB	Output is correct
26	Correct	3 ms	5024 KB	Output is correct
27	Correct	4 ms	5076 KB	Output is correct
28	Correct	2 ms	5076 KB	Output is correct
29	Correct	3 ms	5036 KB	Output is correct
30	Correct	4 ms	5036 KB	Output is correct
31	Correct	3 ms	5076 KB	Output is correct
32	Correct	4 ms	5036 KB	Output is correct
33	Correct	3 ms	5076 KB	Output is correct
34	Correct	3 ms	5076 KB	Output is correct
35	Correct	3 ms	5036 KB	Output is correct
36	Correct	3 ms	5076 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	3 ms	5076 KB	Output is correct
39	Correct	3 ms	5036 KB	Output is correct
40	Correct	3 ms	5032 KB	Output is correct
41	Correct	4 ms	5044 KB	Output is correct
42	Correct	3 ms	5032 KB	Output is correct
43	Correct	3 ms	5076 KB	Output is correct
44	Correct	3 ms	5076 KB	Output is correct
45	Correct	4 ms	5064 KB	Output is correct
46	Correct	7 ms	5380 KB	Output is correct
47	Correct	5 ms	5332 KB	Output is correct
48	Correct	5 ms	5332 KB	Output is correct
49	Correct	4 ms	5684 KB	Output is correct
50	Correct	4 ms	5680 KB	Output is correct
51	Correct	5 ms	5716 KB	Output is correct
52	Correct	6 ms	5580 KB	Output is correct
53	Correct	5 ms	5576 KB	Output is correct
54	Correct	5 ms	5540 KB	Output is correct
55	Correct	4 ms	5556 KB	Output is correct
56	Correct	5 ms	5460 KB	Output is correct
57	Correct	7 ms	5300 KB	Output is correct
58	Correct	6 ms	5332 KB	Output is correct
59	Correct	6 ms	5296 KB	Output is correct
60	Correct	10 ms	5404 KB	Output is correct
61	Correct	6 ms	5552 KB	Output is correct
62	Correct	6 ms	5508 KB	Output is correct
63	Correct	4 ms	5556 KB	Output is correct
64	Correct	5 ms	5296 KB	Output is correct
65	Correct	5 ms	5332 KB	Output is correct
66	Correct	5 ms	5296 KB	Output is correct
67	Correct	6 ms	5332 KB	Output is correct
68	Correct	5 ms	5684 KB	Output is correct
69	Correct	5 ms	5588 KB	Output is correct
70	Correct	4 ms	5588 KB	Output is correct
71	Correct	4 ms	5460 KB	Output is correct
72	Correct	6 ms	5356 KB	Output is correct
73	Correct	6 ms	5332 KB	Output is correct
74	Correct	4 ms	5460 KB	Output is correct
75	Correct	5 ms	5460 KB	Output is correct
76	Correct	4 ms	5424 KB	Output is correct
77	Correct	4 ms	5332 KB	Output is correct
78	Correct	4 ms	5332 KB	Output is correct
79	Correct	6 ms	5332 KB	Output is correct
80	Correct	5 ms	5332 KB	Output is correct
81	Correct	4 ms	5428 KB	Output is correct
82	Correct	4 ms	5332 KB	Output is correct
83	Correct	4 ms	5332 KB	Output is correct
84	Correct	4 ms	5460 KB	Output is correct
85	Correct	4 ms	5432 KB	Output is correct
86	Correct	5 ms	5332 KB	Output is correct
87	Correct	10 ms	5844 KB	Output is correct
88	Correct	33 ms	7660 KB	Output is correct
89	Correct	97 ms	14076 KB	Output is correct
90	Correct	131 ms	14072 KB	Output is correct
91	Correct	93 ms	14020 KB	Output is correct
92	Correct	54 ms	22756 KB	Output is correct
93	Correct	51 ms	22680 KB	Output is correct
94	Correct	63 ms	22684 KB	Output is correct
95	Correct	52 ms	18796 KB	Output is correct
96	Correct	64 ms	19100 KB	Output is correct
97	Correct	59 ms	19172 KB	Output is correct
98	Correct	72 ms	19176 KB	Output is correct
99	Correct	54 ms	18016 KB	Output is correct
100	Correct	125 ms	13756 KB	Output is correct
101	Correct	154 ms	13992 KB	Output is correct
102	Correct	147 ms	14060 KB	Output is correct
103	Correct	154 ms	13996 KB	Output is correct
104	Correct	58 ms	18032 KB	Output is correct
105	Correct	57 ms	17940 KB	Output is correct
106	Correct	56 ms	17948 KB	Output is correct
107	Correct	116 ms	13280 KB	Output is correct
108	Correct	90 ms	13316 KB	Output is correct
109	Correct	98 ms	13576 KB	Output is correct
110	Correct	50 ms	22036 KB	Output is correct
111	Correct	50 ms	18708 KB	Output is correct
112	Correct	55 ms	18604 KB	Output is correct
113	Correct	50 ms	17324 KB	Output is correct
114	Correct	130 ms	13720 KB	Output is correct
115	Correct	158 ms	13404 KB	Output is correct
116	Correct	60 ms	17388 KB	Output is correct
117	Correct	51 ms	15712 KB	Output is correct
118	Correct	56 ms	15204 KB	Output is correct
119	Correct	55 ms	14728 KB	Output is correct
120	Correct	60 ms	15248 KB	Output is correct
121	Correct	50 ms	14880 KB	Output is correct
122	Correct	51 ms	14392 KB	Output is correct
123	Correct	58 ms	15744 KB	Output is correct
124	Correct	69 ms	15268 KB	Output is correct
125	Correct	59 ms	14828 KB	Output is correct
126	Correct	61 ms	15384 KB	Output is correct
127	Correct	57 ms	14920 KB	Output is correct
128	Correct	59 ms	14448 KB	Output is correct

답안 #799957

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 9.0 / 9.0

Subtask #3 84.0 / 84.0

Subtask #1
7.0 / 7.0

Subtask #2
9.0 / 9.0

Subtask #3
84.0 / 84.0