#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 maximo[LOG_N][MAX_N], minimo[LOG_N][MAX_N], n, pot[MAX_N], posicion[MAX_N];
int izq[MAX_N], der[MAX_N];
int k, res;
int maxrango(int l, int r){
k = pot[r - l + 1];
return max(maximo[k][l], maximo[k][r - (1 << k) + 1]);
}
int minrango(int l, int r){
k = pot[r - l + 1];
return min(minimo[k][l], minimo[k][r - (1 << k) + 1]);
}
void init(int N, std::vector<int> H) {
int p = 1, k = 0;
n = N;
rep(i, 0, n - 1) { maximo[0][i + 1] = minimo[0][i + 1] = H[i], posicion[H[i]] = i + 1; }
maximo[0][0] = maximo[0][n + 1] = minimo[0][0] = minimo[0][n + 1] = n + 1;
rep(k, 1, LOG_N - 1){
rep(i, 0, (n + 1) - p - p + 1){
maximo[k][i] = max(maximo[k - 1][i], maximo[k - 1][i + p]);
minimo[k][i] = min(minimo[k - 1][i], minimo[k - 1][i + p]);
}
p <<= 1;
}
p = 1;
rep(i, 1, MAX_N - 1){
pot[i] = k;
if (p + p <= i){ p <<= 1; ++k; }
}
// OBTEN EL SIGUIENTE SALTO A LA DERECHA Y A LA IZQUIERDA DE CADA NUMERO
int l, r, mitad, cur;
rep(i, 1, n){
// OBTEN SU SALTO A LA IZQUIERDA;
l = 0;
r = i - 1;
cur = l;
while (l <= r){
mitad = (l + r) / 2;
if (maxrango(mitad, i - 1) > H[i - 1]){
l = mitad + 1;
cur = mitad;
}
else r = mitad - 1;
}
izq[i] = cur;
// OBTEN SU SALTO A LA DERECHA;
l = i + 1;
r = n + 1;
cur = n + 1;
while (l <= r){
mitad = (l + r) / 2;
if (maxrango(i + 1, mitad) > H[i - 1]){
r = mitad - 1;
cur = mitad;
}
else l = mitad + 1;
}
der[i] = cur;
}
}
int minimum_jumps(int A, int B, int C, int D) {
res = n + 1;
++A; ++B; ++C; ++D;
int maxdestino, maxorigen, pmaxorigen, cntsalto;
int cnt, pos, hi, hd;
maxdestino = (maxrango(C, D));
// OBTEN EL MAS A LA IZQUIERDA MENOR QUE EL MAYOR
int l, r, mitad, cur;
l = A;
r = B;
cur = B;
while (l <= r){
mitad = (l + r) / 2;
if (maxrango(mitad, B) < maxdestino){
cur = mitad;
r = mitad - 1;
}
else l = mitad + 1;
}
maxorigen = maxrango(cur, B);
pmaxorigen = posicion[maxorigen];
rep(i, pmaxorigen, pmaxorigen){
pos = i;
cnt = 0;
while (pos != 0 && pos != n + 1){
hi = maximo[0][izq[pos]];
hd = maximo[0][der[pos]];
if (der[pos] >= C && der[pos] <= D) pos = der[pos];
else if (hi > hd && hi < maxdestino) pos = izq[pos];
else if (hd > hi && hd < maxdestino) pos = der[pos];
else if (hi > hd && hd < maxdestino) pos = der[pos];
else if (hd > hi && hi < maxdestino) pos = izq[pos];
else{
cnt = n + 1;
break;
}
++cnt;
if (pos >= C && pos <= D){
res = min(res, cnt);
break;
}
}
}
return (res == n + 1) ? -1 : res;
}
