#include "jumps.h"
#include <bits/stdc++.h>
using namespace std;
const int nx=2e5+5, kx=18;
int l[nx], r[nx], deg[nx], lvl[nx], p[kx][nx], pa[nx][kx], rt, mn[nx], mx[nx];
vector<int> d[nx], g[nx];
void dfs(int u, int p)
{
//cout<<"dfs "<<u<<'\n';
mn[u]=mx[u]=u;
pa[u][0]=p;
for (int i=1; i<kx; i++) pa[u][i]=pa[pa[u][i-1]][i-1];
for (auto v:g[u]) dfs(v, u), mn[u]=min(mn[u], mn[v]), mx[u]=max(mx[u], mx[v]);
}
int lca(int u, int v)
{
if (lvl[u]>lvl[v]) swap(u, v);
for (int i=kx-1; i>=0; i--) if (lvl[pa[v][i]]>=lvl[u]) v=pa[v][i];
if (u==v) return v;
for (int i=kx-1; i>=0; i--) if (pa[u][i]!=pa[v][i]) u=pa[u][i], v=pa[v][i];
return pa[u][0];
}
void init(int N, std::vector<int> H) {
stack<int> s;
for (int i=0; i<N; i++) l[i]=r[i]=N;
for (int i=0; i<N; i++)
{
while (!s.empty()&&H[s.top()]<H[i]) s.pop();
if (!s.empty()) l[i]=s.top(), d[s.top()].push_back(i), deg[i]++;
s.push(i);
}
while (!s.empty()) s.pop();
for (int i=N-1; i>=0; i--)
{
while (!s.empty()&&H[s.top()]<H[i]) s.pop();
if (!s.empty()) r[i]=s.top(), d[s.top()].push_back(i), deg[i]++;
s.push(i);
}
queue<int> q;
for (int i=0; i<N; i++) if (l[i]==N&&r[i]==N) q.push(i), rt=i;
while (!q.empty())
{
auto u=q.front();
q.pop();
for (auto x:d[u]) if (--deg[x]==0) q.push(x);
lvl[u]=max(lvl[l[u]], lvl[r[u]])+1;
}
for (int i=0; i<N; i++)
{
if (lvl[l[i]]>lvl[r[i]]) g[l[i]].push_back(i);
else g[r[i]].push_back(i);
}
for (int i=0; i<kx; i++) p[i][N]=N;
for (int i=0; i<N; i++) p[0][i]=(lvl[l[i]]<lvl[r[i]])?l[i]:r[i];
for (int i=1; i<kx; i++) for (int j=0; j<N; j++) p[i][j]=p[i-1][p[i-1][j]];
dfs(rt, rt);
for (int i=0; i<N; i++) sort(g[i].begin(), g[i].end());
}
int minimum_jumps(int A, int B, int C, int D) {
int rt=lca(C, D);
if (B<mn[rt]) return -1;
for (int i=C; i<=D; i++)
{
if (B>=mn[i])
{
C=i;
break;
}
}
A=max(A, mn[C]);
A=lca(A, B);
int res=0;
for (int i=kx-1; i>=0; i--) if (lvl[p[i][A]]>=lvl[C]) res+=(1<<i), A=p[i][A];
return res+lvl[A]-lvl[C];
}
