#include<bits/stdc++.h>
#include "railroad.h"
using namespace std;
using ll=long long;
const ll MAX_TRANSFO=16,INFINI=(ll)1000*1000*1000*1000*1000*1000;
ll nbTransfo;
ll memo[(1<<MAX_TRANSFO)][MAX_TRANSFO];
ll seuil[MAX_TRANSFO],valNouv[MAX_TRANSFO];
ll dyna(ll etat,ll dernPris) {
if (etat==(1<<nbTransfo)-1) {
return 0;
}
if (memo[etat][dernPris]!=INFINI) {
return memo[etat][dernPris];
}
ll anci;
if (etat==0) {
anci=0;
}
else {
anci=valNouv[dernPris];
}
//cout<<etat<<" "<<dernPris<<" "<<anci<<endl;
for (ll i=0;i<nbTransfo;i++) {
if ((etat>>i)%2==0) {
memo[etat][dernPris]=min(memo[etat][dernPris],dyna(etat+(1<<i),i)+max(anci-seuil[i],(ll)0));
}
}
return memo[etat][dernPris];
}
ll plan_roller_coaster(vector<int> s,vector<int> t) {
nbTransfo=s.size();
for (ll i=0;i<nbTransfo;i++) {
seuil[i]=s[i];
valNouv[i]=t[i];
}
for (int i=0;i<(1<<nbTransfo);i++) {
for (int j=0;j<nbTransfo;j++) {
memo[i][j]=INFINI;
}
}
return dyna(0,0);
}
