#include "festival.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash{
size_t operator()(const pair<int,int>&x)const{
return hash<long long>()(((long long)x.first)^(((long long)x.second)<<32));
}
};
const int MAXM = 50;
vi P, T;
ll A;
int n;
ll val(ll X, ll p, ll t){
return (ll)(X - p) * t;
}
bool comp(int x, int y){
return val(val(A, P[x], T[x]), P[y], T[y]) > val(val(A, P[y], T[y]), P[x], T[x]);
}
vi max_coupons(int Ainit, vi Pinit, vi Tinit){
A = Ainit;
P = Pinit;
T = Tinit;
n = sz(P);
vector<pii> ones;
vi p;
for(int i = 0; i < n; i++){
if(T[i] == 1){
ones.pb(mp(P[i], i));
}else{
p.pb(i);
}
}
sort(all(ones));
sort(all(p), comp);
n = sz(p);
// cerr << n << '\n';
// for(auto ele : p){
// cerr << P[ele] << ' ' << T[ele] << '\n';
// }
vi ans = {};
for(int i = 0; i < n; i++){
if(val(A, P[p[i]], T[p[i]]) >= A){
ans.pb(p[i]);
A = val(A, P[p[i]], T[p[i]]);
}else{
break;
}
}
//cerr << sz(ans) << ' ' << A << '\n';
vector<vll> dp(n + 1, vll());
vector<vi> pre(n + 1, vi());
dp[sz(ans)].assign(MAXM, -1);
dp[sz(ans)][0] = A;
for(int i = sz(ans); i < n; i++){
dp[i + 1].assign(MAXM, -1);
pre[i + 1].assign(MAXM, -1);
dp[i + 1][0] = dp[i][0];
pre[i + 1][0] = 0;
for(int j = 1; j < MAXM; j++){
if(dp[i][j - 1] != -1){
// if(j == 1){
// cerr << dp[i][j - 1] << ' ' << val(dp[i][j - 1], P[p[i]], T[p[i]]) << ' ' << dp[i][j] << '\n';
// }
if(val(dp[i][j - 1], P[p[i]], T[p[i]]) >= dp[i][j]){
dp[i + 1][j] = val(dp[i][j - 1], P[p[i]], T[p[i]]);
pre[i + 1][j] = j - 1;
}else{
dp[i + 1][j] = dp[i][j];
pre[i + 1][j] = j;
}
}else{
dp[i + 1][j] = dp[i][j];
pre[i + 1][j] = j;
}
}
}
vi best = ans;
for(int i = 0; i < MAXM; i++){
// cerr << i << ' ' << dp[n][i] << '\n';
if(dp[n][i] < 0){
continue;
}
vi curr = ans;
int I = n;
int J = i;
vi add = {};
while(I > sz(ans)){
if(pre[I][J] != J - 1){
I--;
}else{
add.pb(p[I - 1]);
J--;
I--;
}
}
reverse(all(add));
for(auto ele : add){
curr.pb(ele);
}
A = dp[n][i];
for(int j = 0; j < sz(ones); j++){
if(ones[j].fi <= A){
A = val(A, ones[j].fi, 1);
curr.pb(ones[j].se);
}else{
break;
}
}
if(sz(curr) > sz(best)){
best = curr;
}
}
return best;
}
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