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#include "jumps.h"
#include <vector>
#include<bits/stdc++.h>
using namespace std;
#define lli long long
#define rep(i, a, b) for(lli i = (a); i <= (b); ++i)
#define repa(i, a, b) for(lli i = (a); i >= (b); --i)
#define nl "\n"
#define debugsl(x) cout << #x << " = " << x << ", "
#define debug(x) debugsl(x) << nl
#define debugarr(x, a, b) cout << #x << " = ["; rep(ii, a, b){ cout << x[ii] << ", "; } cout << "]" << nl
#define MAX_N 200003
#define LOG_N 18
int izq[LOG_N][MAX_N], der[LOG_N][MAX_N], alto[LOG_N][MAX_N], pot[LOG_N];
int altura[MAX_N], n;
void init(int N, std::vector<int> H) {
H.push_back(N + 1);
pot[0] = 1;
rep(i, 1, LOG_N - 1) pot[i] = pot[i - 1] * 2;
n = N;
rep(i, 0, N) altura[i + 1] = H[i];
altura[0] = N + 1;
stack<int> mq;
rep(i, 0, N + 1){
while (!mq.empty() && altura[mq.top()] < altura[i]) mq.pop();
if (mq.empty()) izq[0][i] = i;
else izq[0][i] = mq.top();
mq.push(i);
}
while(!mq.empty()) mq.pop();
repa(i, N + 1, 0){
while (!mq.empty() && altura[mq.top()] < altura[i]) mq.pop();
if (mq.empty()) der[0][i] = i;
else der[0][i] = mq.top();
mq.push(i);
}
der[0][0] = N + 1;
izq[0][N + 1] = 0;
rep(i, 1, N) alto[0][i] = (H[izq[0][i]] > H[der[0][i]]) ? izq[0][i] : der[0][i];
rep(k, 1, LOG_N - 1){
rep(i, 0, N + 1){
izq[k][i] = izq[k - 1][izq[k - 1][i]];
der[k][i] = der[k - 1][der[k - 1][i]];
alto[k][i] = alto[k - 1][alto[k - 1][i]];
}
}
}
int minimum_jumps(int A, int B, int C, int D) {
A++; B++; C++; D++;
int medio = -1, altmedio = 0;
rep(i, B + 1, C - 1){
if (altura[i] > altmedio){
altmedio = altura[i];
medio = i;
}
}
// NO HAY NADIE ENTRE A,B Y C,D
if (medio == -1){
if (der[0][B] <= D) return 1;
else return -1;
}
if (der[0][medio] > D) return -1;
if (altura[B] > altmedio){
if (der[0][B] <= D) return 1;
else return -1;
}
// CALCULA SALTOS CON RAMA ALTA
int saltos = 0;
int pos = B, sig;
repa(k, LOG_N - 1, 0){
if (altura[alto[k][pos]] < altmedio){
pos = alto[k][pos];
saltos += pot[k];
if (pos >= A && pos <= B) saltos = 0;
}
}
sig = izq[0][pos];
if (sig >= A && sig <= B && der[0][sig] >= C && der[0][sig] <= D) return 1;
if (sig < A && der[0][sig] >= C && der[0][sig] <= D) return saltos + 2;
repa(k, LOG_N - 1, 0){
if (der[k][pos] < C){
pos = der[k][pos];
saltos += pot[k];
}
}
if (der[0][pos] >= C && der[0][pos] <= D) return saltos + 1;
return -1;
}
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