oj.uz

Submission #628860

# Submission time Handle Problem Language Result Execution time Memory
628860 2022-08-13T18:38:59 Z imeimi2000 Radio Towers (IOI22_towers) C++17
17 / 100
 1343 ms 147572 KB 
#include "towers.h"

#include <bits/stdc++.h>

using namespace std;
typedef pair<int, int> pii;

const int inf = 1e9 + 5;
struct MaxSeg {
    int seg[1 << 18];
    MaxSeg() {
        fill(seg, seg + (1 << 18), -inf);
    }
    void update(int i, int s, int e, int x, int v) {
        if (s == e) {
            seg[i] = v;
            return;
        }
        int m = (s + e) / 2;
        if (x <= m) update(i + i, s, m, x, v);
        else update(i + i + 1, m + 1, e, x, v);
        seg[i] = max(seg[i + i], seg[i + i + 1]);
    }
    int query(int i, int s, int e, int x, int y) const {
        if (e < x || y < s) return -inf;
        if (x <= s && e <= y) return seg[i];
        int m = (s + e) / 2;
        return max(query(i + i, s, m, x, y), query(i + i + 1, m + 1, e, x, y));
    }
    int find(int i, int s, int e, int x, int v) const {
        if (x < s) return 0;
        if (e <= x && seg[i] <= v) return 0;
        if (s == e) return s;
        int m = (s + e) / 2;
        int r = find(i + i + 1, m + 1, e, x, v);
        if (r) return r;
        return find(i + i, s, m, x, v);
    }
};

struct Pst {
    struct Node {
        int L, R, S;
    };
    int root;
    vector<Node> node;
    vector<int> snapshots;
    Pst() {
        root = 0;
        node.push_back(Node { 0, 0, 0 });
        snapshots.push_back(0);
    }
    int update(int i, int s, int e, int x, int v) {
        int j = node.size();
        node.push_back(node[i]);
        node[j].S += v;
        if (s < e) {
            int m = (s + e) / 2;
            if (x <= m) node[j].L = update(node[j].L, s, m, x, v);
            else node[j].R = update(node[j].R, m + 1, e, x, v);
        }
        return j;
    }
    void update(int x, int v) {
        if (x == 0) return;
        root = update(root, 1, inf, x, v);
    }
    int query(int i, int s, int e, int x, int y) const {
        if (!i || e < x || y < s) return 0;
        if (x <= s && e <= y) return node[i].S;
        int m = (s + e) / 2;
        return query(node[i].L, s, m, x, y) + query(node[i].R, m + 1, e, x, y);
    }
    int query(int t, int x, int y) const {
        return query(snapshots[t], 1, inf, x, y);
    }
    void snapshot() {
        snapshots.push_back(root);
    }
};

int n;
struct Tower {
    MaxSeg min_seg, max_seg;
    int maxD[100005];
    int Lmin[100005];
    int Lpos[100005];
    int Lpar[20][100005];
    int Ldep[100005];
    int V[100005];
    Pst pst;
    void init(vector<int> H) {
        H.insert(H.begin(), inf);
        for (int i = 1; i <= n; ++i) {
            V[i] = H[i];
            min_seg.update(1, 1, n, i, -H[i]);
            max_seg.update(1, 1, n, i, H[i]);
        }
        vector<int> R = { 0, 1 };
        vector<int> L;
        pst.snapshot();
        Lmin[0] = Lmin[1] = inf;
        for (int i = 2; i <= n; ++i) {
            int poped = 0;
            Lmin[i] = inf;
            while (H[R.back()] < H[i]) {
                Lmin[i] = min(Lmin[i], min(Lmin[R.back()], H[R.back()]));
                if (!L.empty() && L.back() == R.back()) L.pop_back();
                R.pop_back();
                ++poped;
            }
            if (!poped) {
                while (!L.empty()) {
                    int x = L.back();
                    pst.update(maxD[x], -1);
                    if (Lmin[x] < H[i]) {
                        maxD[x] = H[x] - H[i];
                        pst.update(maxD[x], 1);
                        break;
                    }
                    else {
                        maxD[x] = H[x] - Lmin[x];
                        pst.update(maxD[x], 1);
                    }
                    L.pop_back();
                }
            }
            else {
                if (!L.empty()) Lpar[0][i] = L.back();
                Ldep[i] = Ldep[Lpar[0][i]] + 1;
                L.push_back(i);
            }
            Lpos[i] = L.empty() ? 0 : L.back();
            R.push_back(i);
            pst.snapshot();
        }
        for (int i = 1; i < 20; ++i) {
            for (int j = 1; j <= n; ++j) Lpar[i][j] = Lpar[i - 1][Lpar[i - 1][j]];
        }
    }
    int query(int m, int r, int d) const {
        // printf("m = %d, r = %d\n", m, r);
        if (m == r) return 0;
        int ans = pst.query(r, d, inf) - pst.query(m, d, inf);
        int mn = -min_seg.query(1, 1, n, m + 1, r);
        int x = Lpos[m];
        if (!x) return ans;
        if (Lmin[x] + d <= V[x] && mn + d <= V[x]);
        else {
            for (int i = 20; i--; ) {
                int p = Lpar[i][x];
                if (!p) continue;
                if (Lmin[p] + d <= V[p] && mn + d <= V[p]);
                else x = p;
            }
            x = Lpar[0][x];
        }
        ans -= Ldep[x];
        x = Lpos[m];
        int p = Lpar[0][x];
        if (!p || (Lmin[p] + d <= V[p] && Lmin[x] + d <= V[p]));
        else {
            for (int i = 20; i--; ) {
                int p = Lpar[i][x];
                int g = Lpar[0][p];
                if (!g) continue;
                if (Lmin[g] + d <= V[g] && Lmin[p] + d <= V[g]);
                else x = p;
            }
            x = Lpar[0][x];
        }
        ans += Ldep[x] - 1;
        return ans;
    }
} L, R;

void init(int N, vector<int> H) {
    n = N;
    L.init(H);
    reverse(H.begin(), H.end());
    R.init(H);
}

int max_towers(int L, int R, int D) {
    ++L;
    ++R;
    int V = ::L.max_seg.query(1, 1, n, L, R);
    int M = ::L.max_seg.find(1, 1, n, R, V - 1);
    return ::L.query(M, R, D) + ::R.query(n + 1 - M, n + 1 - L, D) + (V - D >= -::L.min_seg.query(1, 1, n, L, M - 1) && V - D >= -::L.min_seg.query(1, 1, n, M + 1, R)) + 1;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 587 ms 81092 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5080 KB Output is correct
2 Correct 6 ms 6632 KB Output is correct
3 Correct 5 ms 6632 KB Output is correct
4 Correct 5 ms 6624 KB Output is correct
5 Correct 6 ms 6632 KB Output is correct
6 Correct 6 ms 6632 KB Output is correct
7 Correct 5 ms 6688 KB Output is correct
8 Correct 3 ms 4944 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 6 ms 6484 KB Output is correct
11 Correct 6 ms 6224 KB Output is correct
12 Correct 3 ms 4560 KB Output is correct
13 Incorrect 6 ms 6856 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
14 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5080 KB Output is correct
2 Correct 6 ms 6632 KB Output is correct
3 Correct 5 ms 6632 KB Output is correct
4 Correct 5 ms 6624 KB Output is correct
5 Correct 6 ms 6632 KB Output is correct
6 Correct 6 ms 6632 KB Output is correct
7 Correct 5 ms 6688 KB Output is correct
8 Correct 3 ms 4944 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 6 ms 6484 KB Output is correct
11 Correct 6 ms 6224 KB Output is correct
12 Correct 3 ms 4560 KB Output is correct
13 Incorrect 6 ms 6856 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
14 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Incorrect 980 ms 147032 KB 59096th lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 358 ms 39456 KB Output is correct
2 Correct 1284 ms 147524 KB Output is correct
3 Correct 1145 ms 147484 KB Output is correct
4 Correct 1343 ms 147524 KB Output is correct
5 Correct 1185 ms 147428 KB Output is correct
6 Correct 1319 ms 147520 KB Output is correct
7 Correct 1196 ms 147492 KB Output is correct
8 Correct 934 ms 25032 KB Output is correct
9 Correct 733 ms 24652 KB Output is correct
10 Correct 997 ms 74144 KB Output is correct
11 Correct 915 ms 106096 KB Output is correct
12 Correct 204 ms 147524 KB Output is correct
13 Correct 196 ms 147540 KB Output is correct
14 Correct 201 ms 147572 KB Output is correct
15 Correct 53 ms 24756 KB Output is correct
16 Correct 120 ms 69184 KB Output is correct
17 Correct 200 ms 144456 KB Output is correct
18 Correct 192 ms 147500 KB Output is correct
19 Correct 200 ms 147412 KB Output is correct
20 Correct 201 ms 147480 KB Output is correct
21 Correct 217 ms 147412 KB Output is correct
22 Correct 224 ms 147420 KB Output is correct
23 Correct 195 ms 147520 KB Output is correct
24 Correct 55 ms 24920 KB Output is correct
25 Correct 53 ms 24712 KB Output is correct
26 Correct 154 ms 116696 KB Output is correct
27 Correct 60 ms 29100 KB Output is correct
28 Correct 5 ms 6624 KB Output is correct
29 Correct 5 ms 6656 KB Output is correct
30 Correct 6 ms 6632 KB Output is correct
31 Correct 3 ms 4944 KB Output is correct
32 Correct 4 ms 5460 KB Output is correct
33 Correct 4 ms 5592 KB Output is correct
34 Correct 5 ms 6620 KB Output is correct
35 Correct 5 ms 6632 KB Output is correct
36 Correct 6 ms 6680 KB Output is correct
37 Correct 5 ms 6632 KB Output is correct
38 Correct 7 ms 6620 KB Output is correct
39 Correct 5 ms 6620 KB Output is correct
40 Correct 3 ms 4944 KB Output is correct
41 Correct 3 ms 4944 KB Output is correct
42 Correct 4 ms 5452 KB Output is correct
43 Correct 4 ms 6088 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5080 KB Output is correct
2 Correct 6 ms 6632 KB Output is correct
3 Correct 5 ms 6632 KB Output is correct
4 Correct 5 ms 6624 KB Output is correct
5 Correct 6 ms 6632 KB Output is correct
6 Correct 6 ms 6632 KB Output is correct
7 Correct 5 ms 6688 KB Output is correct
8 Correct 3 ms 4944 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 6 ms 6484 KB Output is correct
11 Correct 6 ms 6224 KB Output is correct
12 Correct 3 ms 4560 KB Output is correct
13 Incorrect 6 ms 6856 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
14 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 587 ms 81092 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -