oj.uz

답안 #771451

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
771451 2023-07-03T03:20:17 Z PurpleCrayon 송신탑 (IOI22_towers) C++17
11 / 100
 1556 ms 2097152 KB 
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;

#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 1e5+10, MOD = 1e9+7;
const ll INF = 1e18+10;
const int L = 20;

struct D1 {
    int sum, mn, mx;

    D1() {
        sum = 0;
        mn = MOD;
        mx = -1;
    }

    D1(int x, int loc) {
        sum = x;
        if (x) mn = mx = loc;
        else mn = MOD, mx = -1;
    }

    friend D1 operator + (const D1& one, const D1& two) {
        D1 ans;
        ans.sum = one.sum + two.sum;
        ans.mn = min(one.mn, two.mn);
        ans.mx = max(one.mx, two.mx);
        return ans;
    }
};

struct T1 {
    D1 d;
    T1 *l, *r;

    T1(D1 _d): d(_d) {
        l = nullptr;
        r = nullptr;
    }

    T1(T1* _l, T1* _r): l(_l), r(_r) {
        d = l->d + r->d;
    }
};

T1* build1(int tl, int tr, const vector<int>& v) {
    if (tl == tr) {
        return new T1(D1(v[tl], tl));
    }
    else {
        int tm = (tl + tr) / 2;
        build1(tl, tm, v);
        build1(tm+1, tr, v);
        T1* ans = new T1(build1(tl, tm, v), build1(tm+1, tr, v));
        return ans;
    }
}

T1* upd1(T1* t, int tl, int tr, int pos, int x) {
    if (tl == tr) {
        return new T1(D1(x, tl));
    }
    int tm = (tl + tr) / 2;
    if (pos <= tm)
        return new T1(upd1(t->l, tl, tm, pos, x), t->r);
    else
        return new T1(t->l, upd1(t->r, tm+1, tr, pos, x));
}

D1 qry1(T1* t, int tl, int tr, int l, int r) {
    if (r < tl || l > tr) return D1();
    if (l <= tl && tr <= r) return t->d;
    int tm = (tl + tr) / 2;
    return qry1(t->l, tl, tm, l, r) + qry1(t->r, tm+1, tr, l, r);
}

int n, a[N], st[N][L];
vector<pair<int, int>> store;
vector<int> base;
vector<int> ord;
T1* vers[N];

void build_rmq() {
    for (int i = 0; i < n; i++) st[i][0] = a[i];
    for (int k = 2, l = 1; k <= n; k *= 2, l++) {
        for (int i = 0; i + k <= n; i++) {
            st[i][l] = max(st[i][l-1], st[i + k / 2][l-1]);
        }
    }
}

int qry_max(int l, int r) {
    int len = r - l + 1;
    int use = 31 - __builtin_clz(len);
    return max(st[l][use], st[r - (1 << use) + 1][use]);
}

void init(int _n, vector<int> H) {
    n = _n;
    for (int i = 0; i < n; i++) {
        a[i] = H[i];
    }
    build_rmq();

    set<int> s;
    for (int i = 0; i < n; i++) {
        bool use = 1;
        if (i && a[i-1] < a[i]) use = 0;
        if (i < n-1 && a[i+1] < a[i]) use = 0;
        if (use) s.insert(i);
    }
    base = vector<int>(s.begin(), s.end());

    auto f = [&](int i) {
        auto it = s.lower_bound(i); assert(*it == i);
        --it;
        return qry_max(*it, i) - max(a[*it], a[i]);
    };

    set<pair<int, int>> q;
    auto get_v = [&](int x) {
        return pair<int, int>{f(x), x};
    };

    for (auto it = next(s.begin()); it != s.end(); it++) {
        q.insert(get_v(*it));
    }

    vector<pair<int, int>> v;
    v.emplace_back(0, sz(s)); // d > 0, ans = sz(s)
    while (sz(q)) {
        auto [d, i] = *q.begin(); q.erase(q.begin());
        v.emplace_back(d, -1); // need to update v.back().second

        auto it = s.lower_bound(i); assert(*it == i);
        int one = i;
        int two = *prev(it);
        if (next(it) != s.end()) {
            q.erase(get_v(*next(it)));
        }

        if (prev(it) != s.begin()) {
            q.erase(get_v(two));
        }

        if (a[one] > a[two]) {
            s.erase(one);
            ord.push_back(one);
            it = s.lower_bound(two);
            if (next(it) != s.end()) {
                q.insert(get_v(*next(it)));
            }
            if (it != s.begin()) {
                q.insert(get_v(*it));
            }
        } else {
            s.erase(two);
            ord.push_back(two);
            it = s.lower_bound(one);
            if (next(it) != s.end()) {
                q.insert(get_v(*next(it)));
            }
            if (it != s.begin()) {
                q.insert(get_v(*it));
            }
        }

        v.back().second = sz(s);
    }

    store.push_back(v[0]);
    for (int i = 1; i < sz(v); i++) {
        if (v[i].first <= store.back().first) {
            store.back().second = v[i].second;
        } else {
            store.push_back(v[i]);
        }
    }

    vector<int> aux_base(n);
    for (int x : base) aux_base[x] = 1;
    vers[0] = build1(0, n-1, aux_base);
    // cerr << "done\n";
    for (int i = 1; i <= sz(ord); i++) {
        vers[i] = upd1(vers[i-1], 0, n-1, ord[i-1], 0);
    }
    // cerr << "done\n";
}

bool has[N];
int max_towers(int l, int r, int d) {
    // find the last thing < d
    int idx = lower_bound(store.begin(), store.end(), pair<int, int>{d, -1}) - store.begin() - 1;
    int gone = sz(base) - store[idx].second;

    D1 dd = qry1(vers[gone], 0, n-1, l, r);
    int ans = dd.sum;
    int first = dd.mn, last = dd.mx;

    /*
    memset(has, 0, sizeof(has));
    for (int x : base) has[x] = 1;
    for (int i = 0; i < gone; i++) has[ord[i]] = 0;

    int ans = 0;
    int first = n, last = -1;
    for (int i = l; i <= r; i++) {
        ans += has[i];
        if (has[i]) {
            first = min(first, i);
            last = max(last, i);
        }
    }
    // cerr << ans << ' ' << ' ' << first << ' ' << last << endl;
    */

    if (ans == 0) {
        int mx = qry_max(l, r);
        return max(1, (mx - d >= a[l]) + (mx - d >= a[r]));
    }

    bool one = 0, two = 0;
    for (int i = l; i < first; i++) {
        int x = qry_max(i, first);
        if (a[i] <= x - d && x - d >= a[first]) {
            one = 1;
            break;
        }
    }

    for (int i = last+1; i <= r; i++) {
        int x = qry_max(last, i);
        if (a[i] <= x - d && x - d >= a[last]) {
            two = 1;
            break;
        }
    }

    ans += one;
    ans += two;

    return ans;
}

Subtask #1
0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1556 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 12624 KB Output is correct
2 Correct 200 ms 254244 KB Output is correct
3 Correct 190 ms 254200 KB Output is correct
4 Correct 186 ms 254408 KB Output is correct
5 Correct 186 ms 254440 KB Output is correct
6 Correct 188 ms 254476 KB Output is correct
7 Correct 187 ms 254392 KB Output is correct
8 Correct 198 ms 253888 KB Output is correct
9 Correct 193 ms 253904 KB Output is correct
10 Correct 214 ms 253872 KB Output is correct
11 Correct 186 ms 253808 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 189 ms 253808 KB Output is correct
14 Correct 183 ms 253796 KB Output is correct
15 Correct 189 ms 254300 KB Output is correct
16 Correct 198 ms 254664 KB Output is correct
17 Correct 196 ms 254368 KB Output is correct
18 Correct 186 ms 253884 KB Output is correct
19 Correct 189 ms 253860 KB Output is correct
20 Correct 199 ms 254204 KB Output is correct
21 Correct 188 ms 254436 KB Output is correct
22 Correct 187 ms 254440 KB Output is correct
23 Correct 185 ms 253816 KB Output is correct
24 Correct 185 ms 253820 KB Output is correct
25 Correct 40 ms 53828 KB Output is correct
26 Correct 213 ms 254304 KB Output is correct
27 Correct 194 ms 254308 KB Output is correct
28 Correct 187 ms 254512 KB Output is correct
29 Correct 192 ms 254404 KB Output is correct
30 Correct 225 ms 254420 KB Output is correct
31 Correct 193 ms 254404 KB Output is correct
32 Correct 190 ms 253784 KB Output is correct
33 Correct 198 ms 253856 KB Output is correct
34 Correct 186 ms 253840 KB Output is correct
35 Correct 186 ms 253860 KB Output is correct

Subtask #3
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 12624 KB Output is correct
2 Correct 200 ms 254244 KB Output is correct
3 Correct 190 ms 254200 KB Output is correct
4 Correct 186 ms 254408 KB Output is correct
5 Correct 186 ms 254440 KB Output is correct
6 Correct 188 ms 254476 KB Output is correct
7 Correct 187 ms 254392 KB Output is correct
8 Correct 198 ms 253888 KB Output is correct
9 Correct 193 ms 253904 KB Output is correct
10 Correct 214 ms 253872 KB Output is correct
11 Correct 186 ms 253808 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 189 ms 253808 KB Output is correct
14 Correct 183 ms 253796 KB Output is correct
15 Correct 189 ms 254300 KB Output is correct
16 Correct 198 ms 254664 KB Output is correct
17 Correct 196 ms 254368 KB Output is correct
18 Correct 186 ms 253884 KB Output is correct
19 Correct 189 ms 253860 KB Output is correct
20 Correct 199 ms 254204 KB Output is correct
21 Correct 188 ms 254436 KB Output is correct
22 Correct 187 ms 254440 KB Output is correct
23 Correct 185 ms 253816 KB Output is correct
24 Correct 185 ms 253820 KB Output is correct
25 Correct 40 ms 53828 KB Output is correct
26 Correct 213 ms 254304 KB Output is correct
27 Correct 194 ms 254308 KB Output is correct
28 Correct 187 ms 254512 KB Output is correct
29 Correct 192 ms 254404 KB Output is correct
30 Correct 225 ms 254420 KB Output is correct
31 Correct 193 ms 254404 KB Output is correct
32 Correct 190 ms 253784 KB Output is correct
33 Correct 198 ms 253856 KB Output is correct
34 Correct 186 ms 253840 KB Output is correct
35 Correct 186 ms 253860 KB Output is correct
36 Runtime error 1372 ms 2097152 KB Execution killed with signal 9
37 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1400 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1355 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 12624 KB Output is correct
2 Correct 200 ms 254244 KB Output is correct
3 Correct 190 ms 254200 KB Output is correct
4 Correct 186 ms 254408 KB Output is correct
5 Correct 186 ms 254440 KB Output is correct
6 Correct 188 ms 254476 KB Output is correct
7 Correct 187 ms 254392 KB Output is correct
8 Correct 198 ms 253888 KB Output is correct
9 Correct 193 ms 253904 KB Output is correct
10 Correct 214 ms 253872 KB Output is correct
11 Correct 186 ms 253808 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 189 ms 253808 KB Output is correct
14 Correct 183 ms 253796 KB Output is correct
15 Correct 189 ms 254300 KB Output is correct
16 Correct 198 ms 254664 KB Output is correct
17 Correct 196 ms 254368 KB Output is correct
18 Correct 186 ms 253884 KB Output is correct
19 Correct 189 ms 253860 KB Output is correct
20 Correct 199 ms 254204 KB Output is correct
21 Correct 188 ms 254436 KB Output is correct
22 Correct 187 ms 254440 KB Output is correct
23 Correct 185 ms 253816 KB Output is correct
24 Correct 185 ms 253820 KB Output is correct
25 Correct 40 ms 53828 KB Output is correct
26 Correct 213 ms 254304 KB Output is correct
27 Correct 194 ms 254308 KB Output is correct
28 Correct 187 ms 254512 KB Output is correct
29 Correct 192 ms 254404 KB Output is correct
30 Correct 225 ms 254420 KB Output is correct
31 Correct 193 ms 254404 KB Output is correct
32 Correct 190 ms 253784 KB Output is correct
33 Correct 198 ms 253856 KB Output is correct
34 Correct 186 ms 253840 KB Output is correct
35 Correct 186 ms 253860 KB Output is correct
36 Runtime error 1372 ms 2097152 KB Execution killed with signal 9
37 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 1556 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -