oj.uz

Submission #830849

# Submission time Handle Problem Language Result Execution time Memory
830849 2023-08-19T11:40:03 Z vjudge1 Construction of Highway (JOI18_construction) C++17
100 / 100
 221 ms 86092 KB 
#ifdef Home
#define _GLIBCXX_DEBUG
#endif // Home

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;

const int N = 100100;

vector < int > adj[N];
int sz[N], head[N], up[N], depth[N], C[N];
deque < pair < int, int > > HLD[N];
vector < pair < int, int > > V, edges; 
ll tree[N];
stack < pair < int, int > > st;

void upd(int pos, int val) {
    for(; pos < N; tree[pos] += val, pos += -pos&pos);
}

ll sum(int x) {
    ll ans = 0;
    for(; x; ans += tree[x], x ^= -x&x);
    return ans;
}

void dfs(int v) {
    if(!head[v]) {
        head[v] = v;
    }
    
    HLD[head[v]].push_back({C[v], 1});

    int mx = 0;
    for(auto &u : adj[v]) {
        if(!mx || sz[u] > sz[mx]) {
            mx = u;
        }
    }
    if(mx) {
        head[mx] = head[v];
    }
    for(auto &u : adj[v]) {
        dfs(u);
    }
}

ll cnt_inv() {
    ll ans = 0;
    for(auto &[x, cnt] : V) {
        ans += cnt * sum(x - 1);
        upd(x, cnt);
    }
    for(; !V.empty(); V.pop_back()) {
        upd(V.back().first, -V.back().second);
    }
    return ans;
}

void cut(int i, int k, int b) {
    for(int t = k; t;) {
        if(HLD[i].front().second <= t) {
            st.push(HLD[i].front());
            t -= st.top().second;
            HLD[i].pop_front();
        } else {
            st.push({HLD[i].front().first, t});
            HLD[i].front().second -= t;
            t = 0;
        }
    }
    HLD[i].push_front({b, k});
    
    for(; !st.empty(); st.pop()) {
        V.push_back(st.top());
    }
}

void solve(int x, int y) {
    for(y = C[y]; x;) {
        cut(head[x], depth[x] - depth[head[x]] + 1, y);
        x = up[head[x]];
    }
    cout << cnt_inv() << '\n';
}

main() {
#ifdef Home
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif // Home
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int n;
    cin >> n;
    edges.resize(n);
    for(int i = 1; i <= n;  ++ i) {
        cin >> edges[i - 1].first;
        edges[i - 1].second = i;
        sz[i] = 1;
    }
    sort(edges.begin(), edges.end());
    for(int i = 0, j = 1; i < n; ++ i) {
        j += (i && edges[i - 1].first < edges[i].first);
        C[edges[i].second] = j;
    }
    edges.pop_back();
    for(auto &[a, b] : edges) {
        cin >> a >> b;
        adj[a].push_back(b);
        up[b] = a;
        depth[b] = depth[a] + 1;
    }
    for(int i = n - 1; i --> 0;) {
        sz[edges[i].first] += sz[edges[i].second];
    }
    dfs(1);
    for(auto &[x, y] : edges) {
        solve(x, y);
    }
}

Compilation message

construction.cpp:91:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   91 | main() {
      | ^~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 70088 KB Output is correct
2 Correct 35 ms 69992 KB Output is correct
3 Correct 35 ms 70024 KB Output is correct
4 Correct 35 ms 70068 KB Output is correct
5 Correct 36 ms 70072 KB Output is correct
6 Correct 35 ms 70092 KB Output is correct
7 Correct 35 ms 70104 KB Output is correct
8 Correct 36 ms 70096 KB Output is correct
9 Correct 35 ms 70064 KB Output is correct
10 Correct 35 ms 70184 KB Output is correct
11 Correct 35 ms 70080 KB Output is correct
12 Correct 37 ms 70084 KB Output is correct
13 Correct 40 ms 70048 KB Output is correct
14 Correct 36 ms 70044 KB Output is correct
15 Correct 36 ms 70152 KB Output is correct
16 Correct 37 ms 70092 KB Output is correct
17 Correct 37 ms 70092 KB Output is correct
18 Correct 42 ms 70136 KB Output is correct
19 Correct 38 ms 70124 KB Output is correct
20 Correct 36 ms 70104 KB Output is correct
21 Correct 38 ms 70144 KB Output is correct
22 Correct 37 ms 70100 KB Output is correct
23 Correct 37 ms 70120 KB Output is correct
24 Correct 36 ms 70132 KB Output is correct
25 Correct 37 ms 70136 KB Output is correct
26 Correct 36 ms 70092 KB Output is correct
27 Correct 36 ms 70052 KB Output is correct
28 Correct 36 ms 70068 KB Output is correct
29 Correct 36 ms 70092 KB Output is correct
30 Correct 37 ms 70120 KB Output is correct
31 Correct 38 ms 70152 KB Output is correct
32 Correct 36 ms 70148 KB Output is correct
33 Correct 37 ms 70096 KB Output is correct
34 Correct 37 ms 70088 KB Output is correct
35 Correct 38 ms 70088 KB Output is correct
36 Correct 39 ms 70140 KB Output is correct
37 Correct 38 ms 70072 KB Output is correct
38 Correct 37 ms 70060 KB Output is correct
39 Correct 37 ms 70072 KB Output is correct
40 Correct 37 ms 70092 KB Output is correct
41 Correct 38 ms 70136 KB Output is correct
42 Correct 46 ms 70100 KB Output is correct
43 Correct 41 ms 70092 KB Output is correct
44 Correct 37 ms 70008 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 70088 KB Output is correct
2 Correct 35 ms 69992 KB Output is correct
3 Correct 35 ms 70024 KB Output is correct
4 Correct 35 ms 70068 KB Output is correct
5 Correct 36 ms 70072 KB Output is correct
6 Correct 35 ms 70092 KB Output is correct
7 Correct 35 ms 70104 KB Output is correct
8 Correct 36 ms 70096 KB Output is correct
9 Correct 35 ms 70064 KB Output is correct
10 Correct 35 ms 70184 KB Output is correct
11 Correct 35 ms 70080 KB Output is correct
12 Correct 37 ms 70084 KB Output is correct
13 Correct 40 ms 70048 KB Output is correct
14 Correct 36 ms 70044 KB Output is correct
15 Correct 36 ms 70152 KB Output is correct
16 Correct 37 ms 70092 KB Output is correct
17 Correct 37 ms 70092 KB Output is correct
18 Correct 42 ms 70136 KB Output is correct
19 Correct 38 ms 70124 KB Output is correct
20 Correct 36 ms 70104 KB Output is correct
21 Correct 38 ms 70144 KB Output is correct
22 Correct 37 ms 70100 KB Output is correct
23 Correct 37 ms 70120 KB Output is correct
24 Correct 36 ms 70132 KB Output is correct
25 Correct 37 ms 70136 KB Output is correct
26 Correct 36 ms 70092 KB Output is correct
27 Correct 36 ms 70052 KB Output is correct
28 Correct 36 ms 70068 KB Output is correct
29 Correct 36 ms 70092 KB Output is correct
30 Correct 37 ms 70120 KB Output is correct
31 Correct 38 ms 70152 KB Output is correct
32 Correct 36 ms 70148 KB Output is correct
33 Correct 37 ms 70096 KB Output is correct
34 Correct 37 ms 70088 KB Output is correct
35 Correct 38 ms 70088 KB Output is correct
36 Correct 39 ms 70140 KB Output is correct
37 Correct 38 ms 70072 KB Output is correct
38 Correct 37 ms 70060 KB Output is correct
39 Correct 37 ms 70072 KB Output is correct
40 Correct 37 ms 70092 KB Output is correct
41 Correct 38 ms 70136 KB Output is correct
42 Correct 46 ms 70100 KB Output is correct
43 Correct 41 ms 70092 KB Output is correct
44 Correct 37 ms 70008 KB Output is correct
45 Correct 37 ms 70116 KB Output is correct
46 Correct 39 ms 70320 KB Output is correct
47 Correct 39 ms 70328 KB Output is correct
48 Correct 40 ms 70444 KB Output is correct
49 Correct 38 ms 70680 KB Output is correct
50 Correct 38 ms 70664 KB Output is correct
51 Correct 41 ms 70740 KB Output is correct
52 Correct 38 ms 70448 KB Output is correct
53 Correct 38 ms 70552 KB Output is correct
54 Correct 38 ms 70484 KB Output is correct
55 Correct 45 ms 70484 KB Output is correct
56 Correct 37 ms 70432 KB Output is correct
57 Correct 39 ms 70380 KB Output is correct
58 Correct 45 ms 70564 KB Output is correct
59 Correct 41 ms 70388 KB Output is correct
60 Correct 40 ms 70268 KB Output is correct
61 Correct 39 ms 70516 KB Output is correct
62 Correct 38 ms 70468 KB Output is correct
63 Correct 39 ms 70404 KB Output is correct
64 Correct 39 ms 70324 KB Output is correct
65 Correct 40 ms 70256 KB Output is correct
66 Correct 39 ms 70264 KB Output is correct
67 Correct 40 ms 70368 KB Output is correct
68 Correct 39 ms 70604 KB Output is correct
69 Correct 38 ms 70460 KB Output is correct
70 Correct 38 ms 70452 KB Output is correct
71 Correct 42 ms 70476 KB Output is correct
72 Correct 40 ms 70336 KB Output is correct
73 Correct 41 ms 70356 KB Output is correct
74 Correct 41 ms 70476 KB Output is correct
75 Correct 39 ms 70424 KB Output is correct
76 Correct 44 ms 70448 KB Output is correct
77 Correct 38 ms 70316 KB Output is correct
78 Correct 39 ms 70412 KB Output is correct
79 Correct 39 ms 70344 KB Output is correct
80 Correct 39 ms 70348 KB Output is correct
81 Correct 40 ms 70320 KB Output is correct
82 Correct 39 ms 70372 KB Output is correct
83 Correct 38 ms 70396 KB Output is correct
84 Correct 38 ms 70308 KB Output is correct
85 Correct 43 ms 70276 KB Output is correct
86 Correct 38 ms 70324 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 70088 KB Output is correct
2 Correct 35 ms 69992 KB Output is correct
3 Correct 35 ms 70024 KB Output is correct
4 Correct 35 ms 70068 KB Output is correct
5 Correct 36 ms 70072 KB Output is correct
6 Correct 35 ms 70092 KB Output is correct
7 Correct 35 ms 70104 KB Output is correct
8 Correct 36 ms 70096 KB Output is correct
9 Correct 35 ms 70064 KB Output is correct
10 Correct 35 ms 70184 KB Output is correct
11 Correct 35 ms 70080 KB Output is correct
12 Correct 37 ms 70084 KB Output is correct
13 Correct 40 ms 70048 KB Output is correct
14 Correct 36 ms 70044 KB Output is correct
15 Correct 36 ms 70152 KB Output is correct
16 Correct 37 ms 70092 KB Output is correct
17 Correct 37 ms 70092 KB Output is correct
18 Correct 42 ms 70136 KB Output is correct
19 Correct 38 ms 70124 KB Output is correct
20 Correct 36 ms 70104 KB Output is correct
21 Correct 38 ms 70144 KB Output is correct
22 Correct 37 ms 70100 KB Output is correct
23 Correct 37 ms 70120 KB Output is correct
24 Correct 36 ms 70132 KB Output is correct
25 Correct 37 ms 70136 KB Output is correct
26 Correct 36 ms 70092 KB Output is correct
27 Correct 36 ms 70052 KB Output is correct
28 Correct 36 ms 70068 KB Output is correct
29 Correct 36 ms 70092 KB Output is correct
30 Correct 37 ms 70120 KB Output is correct
31 Correct 38 ms 70152 KB Output is correct
32 Correct 36 ms 70148 KB Output is correct
33 Correct 37 ms 70096 KB Output is correct
34 Correct 37 ms 70088 KB Output is correct
35 Correct 38 ms 70088 KB Output is correct
36 Correct 39 ms 70140 KB Output is correct
37 Correct 38 ms 70072 KB Output is correct
38 Correct 37 ms 70060 KB Output is correct
39 Correct 37 ms 70072 KB Output is correct
40 Correct 37 ms 70092 KB Output is correct
41 Correct 38 ms 70136 KB Output is correct
42 Correct 46 ms 70100 KB Output is correct
43 Correct 41 ms 70092 KB Output is correct
44 Correct 37 ms 70008 KB Output is correct
45 Correct 37 ms 70116 KB Output is correct
46 Correct 39 ms 70320 KB Output is correct
47 Correct 39 ms 70328 KB Output is correct
48 Correct 40 ms 70444 KB Output is correct
49 Correct 38 ms 70680 KB Output is correct
50 Correct 38 ms 70664 KB Output is correct
51 Correct 41 ms 70740 KB Output is correct
52 Correct 38 ms 70448 KB Output is correct
53 Correct 38 ms 70552 KB Output is correct
54 Correct 38 ms 70484 KB Output is correct
55 Correct 45 ms 70484 KB Output is correct
56 Correct 37 ms 70432 KB Output is correct
57 Correct 39 ms 70380 KB Output is correct
58 Correct 45 ms 70564 KB Output is correct
59 Correct 41 ms 70388 KB Output is correct
60 Correct 40 ms 70268 KB Output is correct
61 Correct 39 ms 70516 KB Output is correct
62 Correct 38 ms 70468 KB Output is correct
63 Correct 39 ms 70404 KB Output is correct
64 Correct 39 ms 70324 KB Output is correct
65 Correct 40 ms 70256 KB Output is correct
66 Correct 39 ms 70264 KB Output is correct
67 Correct 40 ms 70368 KB Output is correct
68 Correct 39 ms 70604 KB Output is correct
69 Correct 38 ms 70460 KB Output is correct
70 Correct 38 ms 70452 KB Output is correct
71 Correct 42 ms 70476 KB Output is correct
72 Correct 40 ms 70336 KB Output is correct
73 Correct 41 ms 70356 KB Output is correct
74 Correct 41 ms 70476 KB Output is correct
75 Correct 39 ms 70424 KB Output is correct
76 Correct 44 ms 70448 KB Output is correct
77 Correct 38 ms 70316 KB Output is correct
78 Correct 39 ms 70412 KB Output is correct
79 Correct 39 ms 70344 KB Output is correct
80 Correct 39 ms 70348 KB Output is correct
81 Correct 40 ms 70320 KB Output is correct
82 Correct 39 ms 70372 KB Output is correct
83 Correct 38 ms 70396 KB Output is correct
84 Correct 38 ms 70308 KB Output is correct
85 Correct 43 ms 70276 KB Output is correct
86 Correct 38 ms 70324 KB Output is correct
87 Correct 45 ms 70752 KB Output is correct
88 Correct 64 ms 72268 KB Output is correct
89 Correct 156 ms 77536 KB Output is correct
90 Correct 172 ms 77552 KB Output is correct
91 Correct 147 ms 77556 KB Output is correct
92 Correct 93 ms 86092 KB Output is correct
93 Correct 96 ms 86020 KB Output is correct
94 Correct 96 ms 86016 KB Output is correct
95 Correct 102 ms 81180 KB Output is correct
96 Correct 100 ms 81624 KB Output is correct
97 Correct 121 ms 81604 KB Output is correct
98 Correct 105 ms 81648 KB Output is correct
99 Correct 99 ms 81076 KB Output is correct
100 Correct 176 ms 77632 KB Output is correct
101 Correct 208 ms 77936 KB Output is correct
102 Correct 221 ms 78060 KB Output is correct
103 Correct 211 ms 78016 KB Output is correct
104 Correct 112 ms 81080 KB Output is correct
105 Correct 104 ms 81052 KB Output is correct
106 Correct 104 ms 81360 KB Output is correct
107 Correct 139 ms 75964 KB Output is correct
108 Correct 139 ms 76048 KB Output is correct
109 Correct 154 ms 76608 KB Output is correct
110 Correct 97 ms 84656 KB Output is correct
111 Correct 94 ms 81224 KB Output is correct
112 Correct 96 ms 80216 KB Output is correct
113 Correct 93 ms 79688 KB Output is correct
114 Correct 195 ms 77684 KB Output is correct
115 Correct 191 ms 76700 KB Output is correct
116 Correct 98 ms 79680 KB Output is correct
117 Correct 98 ms 79212 KB Output is correct
118 Correct 113 ms 78712 KB Output is correct
119 Correct 95 ms 78348 KB Output is correct
120 Correct 98 ms 78004 KB Output is correct
121 Correct 102 ms 77628 KB Output is correct
122 Correct 98 ms 77332 KB Output is correct
123 Correct 119 ms 79220 KB Output is correct
124 Correct 101 ms 78716 KB Output is correct
125 Correct 100 ms 78400 KB Output is correct
126 Correct 101 ms 78236 KB Output is correct
127 Correct 104 ms 77696 KB Output is correct
128 Correct 105 ms 77360 KB Output is correct