oj.uz

Submission #676312

# Submission time Handle Problem Language Result Execution time Memory
676312 2022-12-30T09:25:36 Z tengiz05 Construction of Highway (JOI18_construction) C++17
100 / 100
 428 ms 30412 KB 
#include <bits/stdc++.h>

using i64 = long long;

constexpr int N = 1E5 + 5;

int a[N + 1];
void add(int x, int y) {
    for (int i = x + 1; i <= N; i += i & -i) {
        a[i] += y;
    }
}
int sum(int x) {
    int res = 0;
    for (int i = x; i > 0; i -= i & -i) {
        res += a[i];
    }
    return res;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    
    int n;
    std::cin >> n;
    
    std::vector<int> a(n);
    for (int i = 0; i < n; i++) {
        std::cin >> a[i];
    }
    
    auto f = a;
    std::sort(f.begin(), f.end());
    f.erase(std::unique(f.begin(), f.end()), f.end());
    int m = f.size();
    for (int i = 0; i < n; i++) {
        a[i] = std::lower_bound(f.begin(), f.end(), a[i]) - f.begin();
    }
    
    std::vector<int> p(n, -1);
    
    std::vector<std::vector<int>> adj(n);
    
    std::vector<std::pair<int, int>> E;
    
    for (int _ = 0; _ < n - 1; _++) {
        int A, B;
        std::cin >> A >> B;
        A--;
        B--;
        adj[A].push_back(B);
        p[B] = A;
        E.emplace_back(A, B);
    }
    
    std::vector<int> siz(n, 1), pos(n), head(n);
    
    std::function<void(int)> dfs = [&](int u) {
        for (int &v : adj[u]) {
            dfs(v);
            if (siz[v] > siz[adj[u][0]]) {
                std::swap(v, adj[u][0]);
            }
            siz[u] += siz[v];
        }
    };
    dfs(0);
    
    int timeStamp = 0;
    
    std::function<void(int, int)> dfs2 = [&](int u, int h) {
        pos[u] = timeStamp++;
        head[u] = h;
        for (int v : adj[u]) {
            if (v == adj[u][0]) {
                dfs2(v, h);
            } else {
                dfs2(v, v);
            }
        }
    };
    dfs2(0, 0);
    
    std::vector<std::set<std::pair<int, int>>> s(n);
    for (int i = 0; i < n; i++) {
        s[head[i]].insert({pos[i], a[i]});
    }
    for (auto [A, B] : E) {
        int u = A;
        std::vector<std::pair<int, int>> v;
        while (u != -1) {
            int h = head[u];
            std::vector<std::pair<int, int>> cur;
            
            int last = pos[h] - 1;
            while (true) {
                assert(!s[h].empty());
                auto [r, c] = *s[h].begin();
                if (r <= pos[u]) {
                    cur.push_back({c, r - last});
                    s[h].erase(s[h].begin());
                    if (r == pos[u]) {
                        break;
                    }
                } else {
                    cur.push_back({c, pos[u] - last});
                    break;
                }
                last = r;
            }
            s[h].insert({pos[u], a[B]});
            
            std::reverse(cur.begin(), cur.end());
            v.insert(v.end(), cur.begin(), cur.end());
            u = p[h];
        }
        std::reverse(v.begin(), v.end());
        
        i64 ans = 0;
        for (auto [x, y] : v) {
            ans += y * 1LL * (sum(m) - sum(x + 1));
            add(x, y);
        }
        for (auto [x, y] : v) {
            add(x, -y);
        }
        std::cout << ans << "\n";
    }
    
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 2 ms 468 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 2 ms 464 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 456 KB Output is correct
27 Correct 1 ms 456 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 328 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 440 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 2 ms 468 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 2 ms 464 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 456 KB Output is correct
27 Correct 1 ms 456 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 328 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 440 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 6 ms 1108 KB Output is correct
47 Correct 6 ms 1104 KB Output is correct
48 Correct 6 ms 1060 KB Output is correct
49 Correct 5 ms 1492 KB Output is correct
50 Correct 5 ms 1492 KB Output is correct
51 Correct 5 ms 1492 KB Output is correct
52 Correct 4 ms 1236 KB Output is correct
53 Correct 5 ms 1236 KB Output is correct
54 Correct 5 ms 1308 KB Output is correct
55 Correct 4 ms 1232 KB Output is correct
56 Correct 4 ms 1236 KB Output is correct
57 Correct 8 ms 980 KB Output is correct
58 Correct 8 ms 1108 KB Output is correct
59 Correct 9 ms 1056 KB Output is correct
60 Correct 11 ms 1000 KB Output is correct
61 Correct 4 ms 1236 KB Output is correct
62 Correct 5 ms 1228 KB Output is correct
63 Correct 5 ms 1232 KB Output is correct
64 Correct 6 ms 980 KB Output is correct
65 Correct 6 ms 1032 KB Output is correct
66 Correct 7 ms 1032 KB Output is correct
67 Correct 7 ms 1096 KB Output is correct
68 Correct 5 ms 1416 KB Output is correct
69 Correct 5 ms 1236 KB Output is correct
70 Correct 4 ms 1236 KB Output is correct
71 Correct 4 ms 1160 KB Output is correct
72 Correct 9 ms 980 KB Output is correct
73 Correct 8 ms 980 KB Output is correct
74 Correct 4 ms 1232 KB Output is correct
75 Correct 5 ms 1108 KB Output is correct
76 Correct 4 ms 1108 KB Output is correct
77 Correct 5 ms 1108 KB Output is correct
78 Correct 4 ms 1108 KB Output is correct
79 Correct 4 ms 1108 KB Output is correct
80 Correct 4 ms 1108 KB Output is correct
81 Correct 5 ms 1236 KB Output is correct
82 Correct 5 ms 1048 KB Output is correct
83 Correct 5 ms 1108 KB Output is correct
84 Correct 4 ms 1156 KB Output is correct
85 Correct 4 ms 1108 KB Output is correct
86 Correct 6 ms 1108 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 2 ms 468 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 2 ms 464 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 456 KB Output is correct
27 Correct 1 ms 456 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 328 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 440 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 6 ms 1108 KB Output is correct
47 Correct 6 ms 1104 KB Output is correct
48 Correct 6 ms 1060 KB Output is correct
49 Correct 5 ms 1492 KB Output is correct
50 Correct 5 ms 1492 KB Output is correct
51 Correct 5 ms 1492 KB Output is correct
52 Correct 4 ms 1236 KB Output is correct
53 Correct 5 ms 1236 KB Output is correct
54 Correct 5 ms 1308 KB Output is correct
55 Correct 4 ms 1232 KB Output is correct
56 Correct 4 ms 1236 KB Output is correct
57 Correct 8 ms 980 KB Output is correct
58 Correct 8 ms 1108 KB Output is correct
59 Correct 9 ms 1056 KB Output is correct
60 Correct 11 ms 1000 KB Output is correct
61 Correct 4 ms 1236 KB Output is correct
62 Correct 5 ms 1228 KB Output is correct
63 Correct 5 ms 1232 KB Output is correct
64 Correct 6 ms 980 KB Output is correct
65 Correct 6 ms 1032 KB Output is correct
66 Correct 7 ms 1032 KB Output is correct
67 Correct 7 ms 1096 KB Output is correct
68 Correct 5 ms 1416 KB Output is correct
69 Correct 5 ms 1236 KB Output is correct
70 Correct 4 ms 1236 KB Output is correct
71 Correct 4 ms 1160 KB Output is correct
72 Correct 9 ms 980 KB Output is correct
73 Correct 8 ms 980 KB Output is correct
74 Correct 4 ms 1232 KB Output is correct
75 Correct 5 ms 1108 KB Output is correct
76 Correct 4 ms 1108 KB Output is correct
77 Correct 5 ms 1108 KB Output is correct
78 Correct 4 ms 1108 KB Output is correct
79 Correct 4 ms 1108 KB Output is correct
80 Correct 4 ms 1108 KB Output is correct
81 Correct 5 ms 1236 KB Output is correct
82 Correct 5 ms 1048 KB Output is correct
83 Correct 5 ms 1108 KB Output is correct
84 Correct 4 ms 1156 KB Output is correct
85 Correct 4 ms 1108 KB Output is correct
86 Correct 6 ms 1108 KB Output is correct
87 Correct 19 ms 2260 KB Output is correct
88 Correct 71 ms 6036 KB Output is correct
89 Correct 228 ms 19524 KB Output is correct
90 Correct 237 ms 19520 KB Output is correct
91 Correct 260 ms 19604 KB Output is correct
92 Correct 135 ms 30384 KB Output is correct
93 Correct 134 ms 30316 KB Output is correct
94 Correct 153 ms 30412 KB Output is correct
95 Correct 111 ms 24636 KB Output is correct
96 Correct 126 ms 25044 KB Output is correct
97 Correct 124 ms 25088 KB Output is correct
98 Correct 119 ms 25048 KB Output is correct
99 Correct 121 ms 24260 KB Output is correct
100 Correct 313 ms 19640 KB Output is correct
101 Correct 428 ms 20032 KB Output is correct
102 Correct 397 ms 20036 KB Output is correct
103 Correct 385 ms 20020 KB Output is correct
104 Correct 125 ms 24248 KB Output is correct
105 Correct 125 ms 24372 KB Output is correct
106 Correct 155 ms 24236 KB Output is correct
107 Correct 197 ms 18368 KB Output is correct
108 Correct 209 ms 18444 KB Output is correct
109 Correct 261 ms 18868 KB Output is correct
110 Correct 115 ms 29380 KB Output is correct
111 Correct 123 ms 24664 KB Output is correct
112 Correct 129 ms 24056 KB Output is correct
113 Correct 124 ms 23236 KB Output is correct
114 Correct 327 ms 19716 KB Output is correct
115 Correct 336 ms 19004 KB Output is correct
116 Correct 112 ms 23308 KB Output is correct
117 Correct 117 ms 21580 KB Output is correct
118 Correct 130 ms 20836 KB Output is correct
119 Correct 118 ms 20428 KB Output is correct
120 Correct 106 ms 20820 KB Output is correct
121 Correct 108 ms 20160 KB Output is correct
122 Correct 132 ms 19648 KB Output is correct
123 Correct 133 ms 21600 KB Output is correct
124 Correct 142 ms 20888 KB Output is correct
125 Correct 167 ms 20392 KB Output is correct
126 Correct 124 ms 20924 KB Output is correct
127 Correct 117 ms 20220 KB Output is correct
128 Correct 121 ms 19768 KB Output is correct