oj.uz

Submission #1087624

# Submission time Handle Problem Language Result Execution time Memory
1087624 2024-09-13T03:15:07 Z steveonalex Construction of Highway (JOI18_construction) C++17
100 / 100
 405 ms 20692 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct FenwickTree{
    int n; 
    vector<int> a, b;

    FenwickTree(int _n){
        n = _n;
        a.resize(n+1);
        b.resize(n+1);
    }

    void assign(int i, int v){
        int diff = v - b[i];
        update(i, diff);
    }

    void update(int i, int v){
        b[i] += v;
        while(i <= n){
            a[i] += v;
            i += LASTBIT(i);
        }
    }

    int get(int i){
        int ans = 0;
        while(i > 0){
            ans += a[i];
            i -= LASTBIT(i);
        }
        return ans;
    }

    int binary_search(int v){
        if (v == 0) return 0;
        int p = MASK(logOf(n)), idx = 0;
        while(p > 0){
            if (idx + p <= n && v - a[idx + p] > 0){
                idx += p;
                v -= a[idx];
            }
            p >>= 1;
        }
        return idx + 1;
    }
};

struct SegmentTree{ // assign;
    int query_cnt;
    int n;
    vector<pair<int, int>> a;

    SegmentTree(int _n){
        n = _n;
        a.resize(n * 2 + 2);
    }

    void update(int l, int r, int v){
        pair<int, int> cur = {++query_cnt, v};
        l += n; r += n + 1;
        while(l < r){
            if (l & 1) maximize(a[l++], cur);
            if (r & 1) maximize(a[--r], cur);
            l >>= 1; r >>= 1;
        }
    }

    int get(int i){
        i += n;
        pair<int, int> ans = {0, 0};
        while(i > 0){
            maximize(ans, a[i]);
            i >>= 1;
        }
        return ans.second;
    }

};

const int N = 1e5 + 69;

int n;
int a[N];
vector<int> graph[N];
int idx[N];
int sz[N], parent[N], h[N];

void find_sz(int u, int p){
    sz[u] =1;
    h[u] = h[p] + 1;
    parent[u] = p;
    for(int v: graph[u]) {
        find_sz(v, u);
        sz[u] += sz[v];
    }
}

int dfs_cnt = 0;
int in[N], head[N];
void decompose(int u, int p, bool flag){
    in[u] = ++dfs_cnt;
    if (flag) head[u] = u;
    else head[u] = head[p];

    pair<int, int> heavy = {-1, -1};
    for(int v: graph[u]) maximize(heavy, make_pair(sz[v], v));
    if (heavy.second == -1) return;
    decompose(heavy.second, u, 0);
    for(int v: graph[u]) if (v != heavy.second)
        decompose(v, u, 1);
}

vector<pair<int, int>> get_chain(int u){
    vector<pair<int,int>> ans;
    while(u != 0){
        int v = head[u];
        ans.push_back({in[v], in[u]});
        u = parent[v];
    }
    return ans;
}

int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
    clock_t start = clock();

    cin >> n;
    for(int i = 1; i<=n; ++i) cin >> a[i];
    vector<int> X = {0};
    for(int i = 1; i<=n; ++i) X.push_back(a[i]);
    remove_dup(X);
    for(int i = 1; i<=n; ++i) 
        a[i] = lower_bound(ALL(X), a[i]) - X.begin();

    for(int i = 1; i<=n-1; ++i){
        int a, b; cin >> a >> b;
        idx[i] = b;
        graph[a].push_back(b);
    }

    find_sz(1, 0);
    decompose(1, 0, 1);

    FenwickTree bit(n);
    FenwickTree inversion_counter(n);
    SegmentTree st(n);
    for(int i = 1; i<=n; ++i) {
        st.update(in[i], in[i], a[i]);
        bit.update(i, 1);
    }
    for(int i = 1; i<n; ++i){
        int v = idx[i];
        vector<pair<int,int>> chain = get_chain(parent[v]);

        vector<pair<int,int>> chim;
        for(pair<int,int> j: chain){
            int u = j.second;
            while(u >= j.first){
                int v = bit.binary_search(bit.get(u));
                maximize(v, j.first);
                bit.assign(v, 0);
                chim.push_back({u - v + 1, st.get(u)});
                u = v - 1;
            }
            bit.assign(j.first, 1);
            bit.assign(j.second + 1, 1);
        }

        for(pair<int, int> j: chain) {
            st.update(j.first, j.second, a[v]);
        }
        bit.assign(in[v], 1); bit.assign(in[v], 1);

        // cout << "Add node: " << v << "\n";
        // for(int i = 1; i<=n; ++i) cout << st.get(i) << " "; cout << "\n";
        // for(pair<int, int> j: chain) cout << j.first << " " << j.second << "\n";

        ll ans = 0;
        for(pair<int, int> j: chim){
            ans += 1LL * j.first * inversion_counter.get(j.second-1);
            inversion_counter.update(j.second, j.first);
        }
        for(pair<int, int> j: chim) inversion_counter.update(j.second, -j.first);

        cout << ans << "\n";
    }
 
    cerr << "Time elapsed: " << clock() - start << " ms\n";
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 2 ms 2652 KB Output is correct
5 Correct 2 ms 2908 KB Output is correct
6 Correct 2 ms 2904 KB Output is correct
7 Correct 2 ms 2652 KB Output is correct
8 Correct 1 ms 2908 KB Output is correct
9 Correct 2 ms 2908 KB Output is correct
10 Correct 1 ms 2908 KB Output is correct
11 Correct 3 ms 2908 KB Output is correct
12 Correct 2 ms 2912 KB Output is correct
13 Correct 2 ms 2908 KB Output is correct
14 Correct 2 ms 2780 KB Output is correct
15 Correct 2 ms 2652 KB Output is correct
16 Correct 2 ms 2652 KB Output is correct
17 Correct 3 ms 2652 KB Output is correct
18 Correct 2 ms 2652 KB Output is correct
19 Correct 2 ms 2908 KB Output is correct
20 Correct 2 ms 2908 KB Output is correct
21 Correct 2 ms 2904 KB Output is correct
22 Correct 2 ms 2908 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 2 ms 2828 KB Output is correct
29 Correct 2 ms 2908 KB Output is correct
30 Correct 3 ms 2828 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 2 ms 2648 KB Output is correct
36 Correct 1 ms 2900 KB Output is correct
37 Correct 2 ms 2652 KB Output is correct
38 Correct 2 ms 2652 KB Output is correct
39 Correct 2 ms 2652 KB Output is correct
40 Correct 2 ms 2652 KB Output is correct
41 Correct 2 ms 2652 KB Output is correct
42 Correct 2 ms 2652 KB Output is correct
43 Correct 2 ms 2836 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 2 ms 2652 KB Output is correct
5 Correct 2 ms 2908 KB Output is correct
6 Correct 2 ms 2904 KB Output is correct
7 Correct 2 ms 2652 KB Output is correct
8 Correct 1 ms 2908 KB Output is correct
9 Correct 2 ms 2908 KB Output is correct
10 Correct 1 ms 2908 KB Output is correct
11 Correct 3 ms 2908 KB Output is correct
12 Correct 2 ms 2912 KB Output is correct
13 Correct 2 ms 2908 KB Output is correct
14 Correct 2 ms 2780 KB Output is correct
15 Correct 2 ms 2652 KB Output is correct
16 Correct 2 ms 2652 KB Output is correct
17 Correct 3 ms 2652 KB Output is correct
18 Correct 2 ms 2652 KB Output is correct
19 Correct 2 ms 2908 KB Output is correct
20 Correct 2 ms 2908 KB Output is correct
21 Correct 2 ms 2904 KB Output is correct
22 Correct 2 ms 2908 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 2 ms 2828 KB Output is correct
29 Correct 2 ms 2908 KB Output is correct
30 Correct 3 ms 2828 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 2 ms 2648 KB Output is correct
36 Correct 1 ms 2900 KB Output is correct
37 Correct 2 ms 2652 KB Output is correct
38 Correct 2 ms 2652 KB Output is correct
39 Correct 2 ms 2652 KB Output is correct
40 Correct 2 ms 2652 KB Output is correct
41 Correct 2 ms 2652 KB Output is correct
42 Correct 2 ms 2652 KB Output is correct
43 Correct 2 ms 2836 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 2 ms 2840 KB Output is correct
46 Correct 6 ms 3240 KB Output is correct
47 Correct 9 ms 3416 KB Output is correct
48 Correct 6 ms 3164 KB Output is correct
49 Correct 5 ms 3416 KB Output is correct
50 Correct 5 ms 3420 KB Output is correct
51 Correct 4 ms 3420 KB Output is correct
52 Correct 5 ms 3160 KB Output is correct
53 Correct 6 ms 3352 KB Output is correct
54 Correct 4 ms 3164 KB Output is correct
55 Correct 4 ms 3160 KB Output is correct
56 Correct 5 ms 3164 KB Output is correct
57 Correct 9 ms 3164 KB Output is correct
58 Correct 9 ms 3164 KB Output is correct
59 Correct 10 ms 3244 KB Output is correct
60 Correct 11 ms 3164 KB Output is correct
61 Correct 6 ms 3164 KB Output is correct
62 Correct 5 ms 3164 KB Output is correct
63 Correct 5 ms 3160 KB Output is correct
64 Correct 6 ms 3160 KB Output is correct
65 Correct 6 ms 3212 KB Output is correct
66 Correct 6 ms 3216 KB Output is correct
67 Correct 7 ms 3128 KB Output is correct
68 Correct 4 ms 3416 KB Output is correct
69 Correct 5 ms 3160 KB Output is correct
70 Correct 4 ms 3160 KB Output is correct
71 Correct 4 ms 3164 KB Output is correct
72 Correct 8 ms 3212 KB Output is correct
73 Correct 8 ms 3212 KB Output is correct
74 Correct 4 ms 3164 KB Output is correct
75 Correct 4 ms 3280 KB Output is correct
76 Correct 5 ms 3164 KB Output is correct
77 Correct 5 ms 3244 KB Output is correct
78 Correct 4 ms 3164 KB Output is correct
79 Correct 4 ms 3164 KB Output is correct
80 Correct 4 ms 3164 KB Output is correct
81 Correct 5 ms 3236 KB Output is correct
82 Correct 7 ms 3208 KB Output is correct
83 Correct 5 ms 3160 KB Output is correct
84 Correct 5 ms 3164 KB Output is correct
85 Correct 5 ms 3164 KB Output is correct
86 Correct 5 ms 3164 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 2 ms 2652 KB Output is correct
5 Correct 2 ms 2908 KB Output is correct
6 Correct 2 ms 2904 KB Output is correct
7 Correct 2 ms 2652 KB Output is correct
8 Correct 1 ms 2908 KB Output is correct
9 Correct 2 ms 2908 KB Output is correct
10 Correct 1 ms 2908 KB Output is correct
11 Correct 3 ms 2908 KB Output is correct
12 Correct 2 ms 2912 KB Output is correct
13 Correct 2 ms 2908 KB Output is correct
14 Correct 2 ms 2780 KB Output is correct
15 Correct 2 ms 2652 KB Output is correct
16 Correct 2 ms 2652 KB Output is correct
17 Correct 3 ms 2652 KB Output is correct
18 Correct 2 ms 2652 KB Output is correct
19 Correct 2 ms 2908 KB Output is correct
20 Correct 2 ms 2908 KB Output is correct
21 Correct 2 ms 2904 KB Output is correct
22 Correct 2 ms 2908 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 2 ms 2828 KB Output is correct
29 Correct 2 ms 2908 KB Output is correct
30 Correct 3 ms 2828 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 2 ms 2648 KB Output is correct
36 Correct 1 ms 2900 KB Output is correct
37 Correct 2 ms 2652 KB Output is correct
38 Correct 2 ms 2652 KB Output is correct
39 Correct 2 ms 2652 KB Output is correct
40 Correct 2 ms 2652 KB Output is correct
41 Correct 2 ms 2652 KB Output is correct
42 Correct 2 ms 2652 KB Output is correct
43 Correct 2 ms 2836 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 2 ms 2840 KB Output is correct
46 Correct 6 ms 3240 KB Output is correct
47 Correct 9 ms 3416 KB Output is correct
48 Correct 6 ms 3164 KB Output is correct
49 Correct 5 ms 3416 KB Output is correct
50 Correct 5 ms 3420 KB Output is correct
51 Correct 4 ms 3420 KB Output is correct
52 Correct 5 ms 3160 KB Output is correct
53 Correct 6 ms 3352 KB Output is correct
54 Correct 4 ms 3164 KB Output is correct
55 Correct 4 ms 3160 KB Output is correct
56 Correct 5 ms 3164 KB Output is correct
57 Correct 9 ms 3164 KB Output is correct
58 Correct 9 ms 3164 KB Output is correct
59 Correct 10 ms 3244 KB Output is correct
60 Correct 11 ms 3164 KB Output is correct
61 Correct 6 ms 3164 KB Output is correct
62 Correct 5 ms 3164 KB Output is correct
63 Correct 5 ms 3160 KB Output is correct
64 Correct 6 ms 3160 KB Output is correct
65 Correct 6 ms 3212 KB Output is correct
66 Correct 6 ms 3216 KB Output is correct
67 Correct 7 ms 3128 KB Output is correct
68 Correct 4 ms 3416 KB Output is correct
69 Correct 5 ms 3160 KB Output is correct
70 Correct 4 ms 3160 KB Output is correct
71 Correct 4 ms 3164 KB Output is correct
72 Correct 8 ms 3212 KB Output is correct
73 Correct 8 ms 3212 KB Output is correct
74 Correct 4 ms 3164 KB Output is correct
75 Correct 4 ms 3280 KB Output is correct
76 Correct 5 ms 3164 KB Output is correct
77 Correct 5 ms 3244 KB Output is correct
78 Correct 4 ms 3164 KB Output is correct
79 Correct 4 ms 3164 KB Output is correct
80 Correct 4 ms 3164 KB Output is correct
81 Correct 5 ms 3236 KB Output is correct
82 Correct 7 ms 3208 KB Output is correct
83 Correct 5 ms 3160 KB Output is correct
84 Correct 5 ms 3164 KB Output is correct
85 Correct 5 ms 3164 KB Output is correct
86 Correct 5 ms 3164 KB Output is correct
87 Correct 22 ms 3676 KB Output is correct
88 Correct 56 ms 5720 KB Output is correct
89 Correct 232 ms 13004 KB Output is correct
90 Correct 239 ms 13008 KB Output is correct
91 Correct 231 ms 13004 KB Output is correct
92 Correct 107 ms 20580 KB Output is correct
93 Correct 108 ms 20692 KB Output is correct
94 Correct 108 ms 20644 KB Output is correct
95 Correct 99 ms 16312 KB Output is correct
96 Correct 117 ms 16648 KB Output is correct
97 Correct 133 ms 16676 KB Output is correct
98 Correct 105 ms 16852 KB Output is correct
99 Correct 111 ms 16136 KB Output is correct
100 Correct 349 ms 13292 KB Output is correct
101 Correct 405 ms 13524 KB Output is correct
102 Correct 402 ms 13520 KB Output is correct
103 Correct 396 ms 13500 KB Output is correct
104 Correct 123 ms 16204 KB Output is correct
105 Correct 121 ms 16024 KB Output is correct
106 Correct 116 ms 16136 KB Output is correct
107 Correct 219 ms 12312 KB Output is correct
108 Correct 234 ms 12276 KB Output is correct
109 Correct 229 ms 12500 KB Output is correct
110 Correct 100 ms 20108 KB Output is correct
111 Correct 101 ms 16336 KB Output is correct
112 Correct 98 ms 16080 KB Output is correct
113 Correct 101 ms 15580 KB Output is correct
114 Correct 356 ms 13044 KB Output is correct
115 Correct 371 ms 13016 KB Output is correct
116 Correct 108 ms 15568 KB Output is correct
117 Correct 116 ms 14128 KB Output is correct
118 Correct 124 ms 13576 KB Output is correct
119 Correct 125 ms 13360 KB Output is correct
120 Correct 107 ms 13704 KB Output is correct
121 Correct 136 ms 13480 KB Output is correct
122 Correct 109 ms 13228 KB Output is correct
123 Correct 127 ms 14280 KB Output is correct
124 Correct 138 ms 13776 KB Output is correct
125 Correct 137 ms 13580 KB Output is correct
126 Correct 131 ms 14032 KB Output is correct
127 Correct 128 ms 13448 KB Output is correct
128 Correct 129 ms 13084 KB Output is correct