Submission #727683

#	Time	Username	Problem	Language	Result	Execution time	Memory
727683		marvinthang	Rainforest Jumps (APIO21_jumps)	C++17	100 / 100	1212 ms	51320 KiB

jumps

/*************************************
*    author: marvinthang             *
*    created: 21.04.2023 12:23:51    *
*************************************/

#include <bits/stdc++.h>
#include "jumps.h"

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i--; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }

// end of template

const int MAX = 2e5 + 5;
const int LOG = 20;

int N, H[MAX], left[MAX], right[MAX][LOG], higher[MAX][LOG], ma[MAX][LOG];

#define MAX_HEIGHT(a, b) (H[(a)] < H[(b)] ? b : a)

void init(int n, vector<int> h) {
    N = n;
    REP(i, N) H[i + 1] = h[i];
    stack <int> st;
    st.push(0);
    H[0] = H[N + 1] = N + 1;
    FORE(i, 1, N) {
        while (H[st.top()] < H[i]) st.pop();
        left[i] = st.top();
        st.push(i);
    }
    right[0][0] = right[N + 1][0] = N + 1;
    st.push(N + 1);
    FORDE(i, N, 1) {
        while (H[st.top()] < H[i]) st.pop();
        right[i][0] = st.top();
        st.push(i);
    }
    FORE(i, 1, N) {
        higher[i][0] = MAX_HEIGHT(left[i], right[i][0]);
        ma[i][0] = i;
    }
    FOR(k, 1, LOG) REP(i, N + 2) {
        higher[i][k] = higher[higher[i][k - 1]][k - 1];
        right[i][k] = right[right[i][k - 1]][k - 1];
        if (i + MASK(k) - 1 <= N) ma[i][k] = MAX_HEIGHT(ma[i][k - 1], ma[i + MASK(k - 1)][k - 1]);
    }
}

int get_max_height(int l, int r) {
    int h = __lg(r - l + 1);
    return MAX_HEIGHT(ma[l][h], ma[r - MASK(h) + 1][h]);
}

int minimum_jumps(int A, int B, int C, int D) {
    ++A; ++B; ++C; ++D;
    int p = H[get_max_height(C, D)];
    if (H[get_max_height(B, C - 1)] > p) return -1;
    int l = A, r = B;
    while (l <= r) {
        int m = l + r >> 1;
        if (H[get_max_height(m, B)] < p) r = m - 1;
        else l = m + 1;
    }
    int start = get_max_height(l, B);
    if (C <= right[start][0] && right[start][0] <= D) return 1;
    int res = 0;
    REPD(i, LOG) if (right[higher[start][i]][0] < C) {
        start = higher[start][i];
        res ^= MASK(i);
    }
    int nxt = higher[start][0];
    if (right[nxt][0] <= D) {
        start = nxt;
        ++res;
        if (C <= right[nxt][0] && right[nxt][0] <= D) return res + 1;
    }

    REPD(i, LOG) if (right[start][i] < C) {
        start = right[start][i];
        res += MASK(i);
    }
    return res + 1;
}

#ifdef LOCAL
#include "jumps.h"

#include <cassert>
#include <cstdio>

#include <vector>

int main() {
    file("jumps");
  int N, Q;
  assert(2 == scanf("%d %d", &N, &Q));
  std::vector<int> H(N);
  for (int i = 0; i < N; ++i) {
    assert(1 == scanf("%d", &H[i]));
  }
  init(N, H);

  for (int i = 0; i < Q; ++i) {
    int A, B, C, D;
    assert(4 == scanf("%d %d %d %d", &A, &B, &C, &D));
    printf("%d\n", minimum_jumps(A, B, C, D));
  }
  return 0;
}
#endif

Compilation message (stderr)

jumps.cpp: In function 'int minimum_jumps(int, int, int, int)':
jumps.cpp:93:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   93 |         int m = l + r >> 1;
      |                 ~~^~~

• Subtask 1: 4 / 4
• Subtask 2: 8 / 8
• Subtask 3: 13 / 13
• Subtask 4: 12 / 12
• Subtask 5: 23 / 23
• Subtask 6: 21 / 21
• Subtask 7: 19 / 19