#include "meetings.h"
#include <bits/stdc++.h>
using namespace std;
#define SIZE(x) int(x.size())
#define forn(i,n) for(int i=0;i<int(n);i++)
#define forsn(i,s,n) for(int i=int(s);i<int(n);i++)
#define dforn(i,n) for(int i=int(n)-1;i>=0;i--)
typedef long long ll;
typedef vector<ll> vll;
typedef vector<int> vi;
const ll INF = 1e18;
const int MAXN = 1e5;
const int MAXH = 21;
struct Node {
ll pref[MAXH], suff[MAXH], cost[MAXH][MAXH];
int maxH;
Node() {
forn(i,MAXH) {
pref[i]=suff[i]=INF;
forn(j,MAXH) cost[i][j]=INF;
}
maxH=0;
}
Node(int val) {
forn(i,MAXH) {
pref[i]=suff[i]=INF;
forn(j,MAXH) cost[i][j]=INF;
}
cost[val][val]=maxH=val;
forn(i,MAXH) pref[i]=suff[i]=max(i,val);
}
};
Node op(Node left, Node right) {
Node res;
forn(i,MAXH) forn(j,MAXH) {
ll &curr = res.cost[i][max(j,right.maxH)];
curr = min(curr, left.cost[i][j] + right.pref[j]);
}
forn(i,MAXH) forn(j,MAXH) {
ll &curr = res.cost[max(i,left.maxH)][j];
curr = min(curr, left.suff[i] + right.cost[i][j]);
}
forn(i,MAXH) {
res.suff[i] = min(res.suff[i], left.pref[max(i,right.maxH)] + right.pref[i]);
res.pref[i] = min(res.pref[i], left.suff[i] + right.suff[max(i,left.maxH)]);
}
res.maxH = max(left.maxH, right.maxH);
return res;
}
Node st[2*MAXN];
int n;
ll query(int l, int r) {
Node ansL, ansR;
for(l+=n, r+=n; l<r; l/=2, r/=2) {
if(l&1) ansL = op(ansL, st[l++]);
if(r&1) ansR = op(st[--r], ansR);
}
Node ans = op(ansL, ansR);
ll res=INF;
forn(i,MAXH) forn(j,MAXH) {
res=min(res,ans.cost[i][j]);
}
return res;
}
vll subtask4(vi h, vi l, vi r) { //no anda
n=SIZE(h);
forn(i,n) st[i+n]=Node(h[i]);
dforn(i,n) st[i]=op(st[2*i],st[2*i+1]);
int q=SIZE(l);
vll ans(q);
forn(i,q) ans[i]=query(l[i],r[i]+1);
return ans;
}
vll minimum_costs(vi h, vi l, vi r) {
int q=SIZE(l), n=SIZE(h);
bool s4=q<=MAXN&&n<=MAXN;
forn(i,n) s4&=h[i]<MAXH;
if(s4) return subtask4(h,l,r);
vll ans(q,INF);
forn(i,n) {
vi c(n);
c[i]=h[i];
dforn(j,i) c[j]=max(c[j+1],h[j]);
forsn(j,i+1,n) c[j]=max(c[j-1],h[j]);
vll p(n+1);
p[0]=0;
forn(j,n) p[j+1]=p[j]+c[j];
forn(j,q) ans[j]=min(ans[j],p[r[j]+1]-p[l[j]]);
}
return ans;
}
