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Submission #1076744

# Submission time Handle Problem Language Result Execution time Memory
1076744 2024-08-26T16:06:53 Z vjudge1 Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 80772 KB 
#include "towers.h"
#include <bits/stdc++.h>


using namespace std;

using vi = vector<int>;
const int INF = 1e9;

int n;
vi H;

vi St, Dr;
vi DeltaSt, DeltaDr;

struct RMQ {
    int n;
    vector<vi> A;
    RMQ(vi V0) : n((int)V0.size()) {
        A.push_back(V0);
        for(int k = 1; (1 << k) <= n; ++k) {
            A.push_back(A.back());
            for(int i = 0; i < n; ++i) {
                if(i + (1 << (k - 1)) < n)
                    A[k][i] = max(A[k][i], A[k - 1][i + (1 << (k - 1))]);
            }
        }
    }

    int query(int l, int r) {
        int d = 31 - __builtin_clz(r - l + 1);
        return max(A[d][l], A[d][r - (1 << d) + 1]);
    }
};

pair<vi, vi> descomp(vi A) {
    RMQ R(A);
    vi Ant(n, -1);
    vi Delta(n, INF); /// cel mai mare delta posibil
    stack<int> S;
    for(int i = 0; i < n; ++i) {
        while(!S.empty() && A[S.top()] > A[i]) {
            S.pop();
        }
        if(!S.empty()) {
            Ant[i] = S.top();
            Delta[i] = R.query(S.top(), i) - A[i];
        }
        S.push(i);
    }
    return make_pair(Ant, Delta);
}

vi S;

const int MN = 100000;

struct AIB2D {
    int n;
    vi V[4 * MN];
    AIB2D() {}
    AIB2D(const vi &V0) : n((int)V0.size()) {
        build(V0, 1, 0, n - 1);
    }

    void build(const vi &V0, int u, int s, int d) {
        for(int i = s; i <= d; ++i)
            V[u].push_back(V0[i]);
        sort(V[u].begin(), V[u].end());
        if(s != d) {
            build(V0, u << 1, s, (s + d) >> 1);
            build(V0, u << 1 | 1, ((s + d) >> 1) + 1, d);
        }
    }
    int query(int l, int r, int D, int u, int s, int d) {
        if(d < l || r < s) return 0;
        if(l <= s && d <= r) {
            int v = lower_bound(V[u].begin(), V[u].end(), D) - V[u].begin();
            return int(V[u].size()) - v;
        }
        return query(l, r, D, u << 1, s, (s + d) >> 1)
            + query(l, r, D, u << 1 | 1, ((s + d) >> 1) + 1, d);
    }
    int query(int l, int r, int D) {
        return query(l, r, D, 1, 0, n - 1);
    }
};

AIB2D ASt, ADr;
AIB2D ATot;


void init(int N0, vi H0) {
    n = N0;
    H = H0;

    tie(St, DeltaSt) = descomp(H);
    reverse(H.begin(), H.end());
    tie(Dr, DeltaDr) = descomp(H);
    reverse(H.begin(), H.end());
    reverse(Dr.begin(), Dr.end());
    reverse(DeltaDr.begin(), DeltaDr.end());
    for(auto &it : Dr) 
        it = n - it - 1;
    S.resize(n);
    for(int i = 0; i < n; ++i)
        S[i] = min(DeltaSt[i], DeltaDr[i]);
    ASt = AIB2D(DeltaSt);
    ADr = AIB2D(DeltaDr);
    ATot = AIB2D(S);
}


int max_towers(int l, int r, int D) {
    vi Sol;
    for(int i = l; i <= r; ++i) {
        if(S[i] >= D) {
            Sol.push_back(i);
        }
    }
    if(ATot.query(l, r, D) == 0) {
        ///poate gasim un SolDr >= D si dupa un SolSt >= D
        int st = l, dr = r, mij;
        if(ADr.query(l, r, D) == 0) return 1;
        while(st < dr) {
            mij = (st + dr) / 2;
            if(ADr.query(l, r, D)) dr = mij;
            else st = mij + 1;
        }
        if(ASt.query(st + 1, r, D)) return 2;
        return 1;
    }
    int st, dr, mij;

    int p1;
    st = l, dr = r;
    while(st < dr) {
        mij = (st + dr) / 2;
        if(ATot.query(l, mij, D)) dr = mij;
        else st = mij + 1;
    }
    p1 = st;

    int p2;
    st = l; dr = r;
    while(st < dr) {
        mij = (st + dr + 1) / 2;
        if(ATot.query(mij, r, D)) st = mij;
        else dr = mij - 1;
    }
    p2 = st;

    int found_st = 0, found_dr = 0;
    found_st = !!ADr.query(l, p1 - 1, D);
    found_dr = !!ASt.query(p2 + 1, r, D);
    return int(Sol.size()) + found_st + found_dr;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1562 ms 60848 KB Output is correct
2 Execution timed out 4050 ms 80704 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 38096 KB Output is correct
2 Correct 27 ms 38436 KB Output is correct
3 Correct 27 ms 38488 KB Output is correct
4 Correct 37 ms 38580 KB Output is correct
5 Correct 24 ms 38488 KB Output is correct
6 Correct 25 ms 38528 KB Output is correct
7 Correct 25 ms 38488 KB Output is correct
8 Correct 25 ms 38580 KB Output is correct
9 Correct 25 ms 38488 KB Output is correct
10 Correct 24 ms 38484 KB Output is correct
11 Correct 26 ms 38480 KB Output is correct
12 Correct 33 ms 37936 KB Output is correct
13 Correct 28 ms 38488 KB Output is correct
14 Correct 37 ms 38480 KB Output is correct
15 Correct 36 ms 38480 KB Output is correct
16 Correct 24 ms 38488 KB Output is correct
17 Correct 33 ms 38480 KB Output is correct
18 Correct 23 ms 38488 KB Output is correct
19 Correct 36 ms 38488 KB Output is correct
20 Correct 23 ms 38732 KB Output is correct
21 Correct 26 ms 38480 KB Output is correct
22 Correct 25 ms 38488 KB Output is correct
23 Correct 24 ms 38488 KB Output is correct
24 Correct 22 ms 38740 KB Output is correct
25 Correct 34 ms 38232 KB Output is correct
26 Correct 39 ms 38488 KB Output is correct
27 Correct 38 ms 38404 KB Output is correct
28 Correct 26 ms 38588 KB Output is correct
29 Correct 29 ms 38488 KB Output is correct
30 Correct 31 ms 38488 KB Output is correct
31 Correct 40 ms 38428 KB Output is correct
32 Correct 31 ms 38480 KB Output is correct
33 Correct 26 ms 38488 KB Output is correct
34 Correct 37 ms 38488 KB Output is correct
35 Correct 24 ms 38488 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 38096 KB Output is correct
2 Correct 27 ms 38436 KB Output is correct
3 Correct 27 ms 38488 KB Output is correct
4 Correct 37 ms 38580 KB Output is correct
5 Correct 24 ms 38488 KB Output is correct
6 Correct 25 ms 38528 KB Output is correct
7 Correct 25 ms 38488 KB Output is correct
8 Correct 25 ms 38580 KB Output is correct
9 Correct 25 ms 38488 KB Output is correct
10 Correct 24 ms 38484 KB Output is correct
11 Correct 26 ms 38480 KB Output is correct
12 Correct 33 ms 37936 KB Output is correct
13 Correct 28 ms 38488 KB Output is correct
14 Correct 37 ms 38480 KB Output is correct
15 Correct 36 ms 38480 KB Output is correct
16 Correct 24 ms 38488 KB Output is correct
17 Correct 33 ms 38480 KB Output is correct
18 Correct 23 ms 38488 KB Output is correct
19 Correct 36 ms 38488 KB Output is correct
20 Correct 23 ms 38732 KB Output is correct
21 Correct 26 ms 38480 KB Output is correct
22 Correct 25 ms 38488 KB Output is correct
23 Correct 24 ms 38488 KB Output is correct
24 Correct 22 ms 38740 KB Output is correct
25 Correct 34 ms 38232 KB Output is correct
26 Correct 39 ms 38488 KB Output is correct
27 Correct 38 ms 38404 KB Output is correct
28 Correct 26 ms 38588 KB Output is correct
29 Correct 29 ms 38488 KB Output is correct
30 Correct 31 ms 38488 KB Output is correct
31 Correct 40 ms 38428 KB Output is correct
32 Correct 31 ms 38480 KB Output is correct
33 Correct 26 ms 38488 KB Output is correct
34 Correct 37 ms 38488 KB Output is correct
35 Correct 24 ms 38488 KB Output is correct
36 Correct 154 ms 62232 KB Output is correct
37 Correct 267 ms 80680 KB Output is correct
38 Correct 227 ms 80680 KB Output is correct
39 Correct 257 ms 80680 KB Output is correct
40 Correct 230 ms 80576 KB Output is correct
41 Correct 261 ms 80684 KB Output is correct
42 Correct 251 ms 80696 KB Output is correct
43 Correct 150 ms 80688 KB Output is correct
44 Correct 142 ms 80664 KB Output is correct
45 Correct 147 ms 80772 KB Output is correct
46 Correct 170 ms 80620 KB Output is correct
47 Correct 252 ms 80524 KB Output is correct
48 Correct 210 ms 80684 KB Output is correct
49 Correct 252 ms 80672 KB Output is correct
50 Correct 191 ms 80724 KB Output is correct
51 Correct 172 ms 80684 KB Output is correct
52 Correct 265 ms 80620 KB Output is correct
53 Correct 234 ms 80680 KB Output is correct
54 Correct 278 ms 80680 KB Output is correct
55 Correct 146 ms 80652 KB Output is correct
56 Correct 173 ms 80676 KB Output is correct
57 Correct 208 ms 79632 KB Output is correct
58 Correct 211 ms 80560 KB Output is correct
59 Correct 271 ms 80684 KB Output is correct
60 Correct 224 ms 80684 KB Output is correct
61 Correct 231 ms 80676 KB Output is correct
62 Correct 236 ms 80664 KB Output is correct
63 Correct 256 ms 80744 KB Output is correct
64 Correct 141 ms 80680 KB Output is correct
65 Correct 156 ms 80600 KB Output is correct
66 Correct 157 ms 80704 KB Output is correct
67 Correct 163 ms 80544 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4091 ms 80560 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2542 ms 47716 KB Output is correct
2 Execution timed out 4018 ms 80628 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 38096 KB Output is correct
2 Correct 27 ms 38436 KB Output is correct
3 Correct 27 ms 38488 KB Output is correct
4 Correct 37 ms 38580 KB Output is correct
5 Correct 24 ms 38488 KB Output is correct
6 Correct 25 ms 38528 KB Output is correct
7 Correct 25 ms 38488 KB Output is correct
8 Correct 25 ms 38580 KB Output is correct
9 Correct 25 ms 38488 KB Output is correct
10 Correct 24 ms 38484 KB Output is correct
11 Correct 26 ms 38480 KB Output is correct
12 Correct 33 ms 37936 KB Output is correct
13 Correct 28 ms 38488 KB Output is correct
14 Correct 37 ms 38480 KB Output is correct
15 Correct 36 ms 38480 KB Output is correct
16 Correct 24 ms 38488 KB Output is correct
17 Correct 33 ms 38480 KB Output is correct
18 Correct 23 ms 38488 KB Output is correct
19 Correct 36 ms 38488 KB Output is correct
20 Correct 23 ms 38732 KB Output is correct
21 Correct 26 ms 38480 KB Output is correct
22 Correct 25 ms 38488 KB Output is correct
23 Correct 24 ms 38488 KB Output is correct
24 Correct 22 ms 38740 KB Output is correct
25 Correct 34 ms 38232 KB Output is correct
26 Correct 39 ms 38488 KB Output is correct
27 Correct 38 ms 38404 KB Output is correct
28 Correct 26 ms 38588 KB Output is correct
29 Correct 29 ms 38488 KB Output is correct
30 Correct 31 ms 38488 KB Output is correct
31 Correct 40 ms 38428 KB Output is correct
32 Correct 31 ms 38480 KB Output is correct
33 Correct 26 ms 38488 KB Output is correct
34 Correct 37 ms 38488 KB Output is correct
35 Correct 24 ms 38488 KB Output is correct
36 Correct 154 ms 62232 KB Output is correct
37 Correct 267 ms 80680 KB Output is correct
38 Correct 227 ms 80680 KB Output is correct
39 Correct 257 ms 80680 KB Output is correct
40 Correct 230 ms 80576 KB Output is correct
41 Correct 261 ms 80684 KB Output is correct
42 Correct 251 ms 80696 KB Output is correct
43 Correct 150 ms 80688 KB Output is correct
44 Correct 142 ms 80664 KB Output is correct
45 Correct 147 ms 80772 KB Output is correct
46 Correct 170 ms 80620 KB Output is correct
47 Correct 252 ms 80524 KB Output is correct
48 Correct 210 ms 80684 KB Output is correct
49 Correct 252 ms 80672 KB Output is correct
50 Correct 191 ms 80724 KB Output is correct
51 Correct 172 ms 80684 KB Output is correct
52 Correct 265 ms 80620 KB Output is correct
53 Correct 234 ms 80680 KB Output is correct
54 Correct 278 ms 80680 KB Output is correct
55 Correct 146 ms 80652 KB Output is correct
56 Correct 173 ms 80676 KB Output is correct
57 Correct 208 ms 79632 KB Output is correct
58 Correct 211 ms 80560 KB Output is correct
59 Correct 271 ms 80684 KB Output is correct
60 Correct 224 ms 80684 KB Output is correct
61 Correct 231 ms 80676 KB Output is correct
62 Correct 236 ms 80664 KB Output is correct
63 Correct 256 ms 80744 KB Output is correct
64 Correct 141 ms 80680 KB Output is correct
65 Correct 156 ms 80600 KB Output is correct
66 Correct 157 ms 80704 KB Output is correct
67 Correct 163 ms 80544 KB Output is correct
68 Execution timed out 4091 ms 80560 KB Time limit exceeded
69 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1562 ms 60848 KB Output is correct
2 Execution timed out 4050 ms 80704 KB Time limit exceeded
3 Halted 0 ms 0 KB -