#include "jumps.h"
#include <bits/stdc++.h>
using namespace std;
#define inf 1000000
vector<vector<int>> edges;
vector<int> H;
vector<vector<int>> big,small;
int N;
int k;
void init(int iN, std::vector<int> iH) {
N = iN;
H = iH;
// create DAG using monotic array
stack<int> st;
edges.resize(N+1);
// create front
for(int i = 0;i < N;i++){
while(!st.empty() && st.top() < H[i]){
st.pop();
}
if(!st.empty()){
edges[H[i]].push_back(st.top());
}
st.push(H[i]);
}
while(!st.empty()) st.pop();
// from back
for(int i = N-1;i >= 0;i--){
while(!st.empty() && st.top() < H[i]){
st.pop();
}
if(!st.empty()){
edges[H[i]].push_back(st.top());
}
st.push(H[i]);
}
for(auto &i:edges){
if(i.size() == 0){
i.push_back(-1);
i.push_back(-1);
continue;
}
if(i.size() == 1){
i.push_back(i[0]);
continue;
}
if(i[0] < i[1]) swap(i[0],i[1]);
}
// edges[0] -> big, edges[1] -> small
//create edges ok, lets create binary jump
k = __lg(N);
big = small = vector<vector<int>>(k+1,vector<int>(N+1,0));
// zero layer
for(int i = 1;i <= N;i++){
big[0][i] = edges[i][0];
small[0][i] = edges[i][1];
}
for(int l = 1;l <= k;l++){
for(int i = 1;i <= N;i++){
if(big[l-1][i] == -1){
big[l][i] = -1;
}else{
// cout << l-1 << " " << i << ":" << big[l-1][i] << endl;
big[l][i] = big[l-1][big[l-1][i]];
}
if(small[l-1][i] == -1){
small[l][i] = -1;
}else{
small[l][i] = small[l-1][small[l-1][i]];
}
}
}
// for(int l = 0;l <= k;l++){
// for(int i = 1;i <= N;i++){
// cout << big[l][i] << " ";
// }
// cout << endl;
// }
// for(int l = 0;l <= k;l++){
// for(int i = 1;i <= N;i++){
// cout << small[l][i] << " ";
// }
// cout << endl;
// }
}
int minimum_jumps(int A, int B, int C, int D) {
// A == B and C == D
int cnt = 0;
int cur = H[A];
// cout << k << " " << cur << endl;
// cout << big.size() << " " << big[0].size() << endl;
for(int l = k;l >= 0;l--){
if(big[l][cur] != -1 && big[l][cur] <= H[C]){
cur = big[l][cur];
cnt+=(1 << l);
}
}
for(int l = k;l >= 0;l--){
if(small[l][cur] != -1 && small[l][cur] <= H[C]){
cur = small[l][cur];
cnt+=(1 << l);
}
}
if(cur != H[C]){
return -1;
}else{
return cnt;
}
}
// grader
// #include "jumps.h"
// #include <cassert>
// #include <cstdio>
// #include <vector>
// int main() {
// 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;
// }
