#include "souvenirs.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct dat {
vector<int> counts;
ll total_price;
bool operator<(const dat &b) {
return lexicographical_compare(counts.begin(), counts.end(),
b.counts.begin(), b.counts.end());
}
void reduce(dat d) {
assert(d.counts.size() == 1);
for (int i = 0; i < (int)counts.size(); i++) {
if (counts[i] == d.counts[0]) {
total_price -= d.total_price;
counts.erase(counts.begin() + i);
break;
}
}
}
};
void buy_souvenirs(int n, long long p0) {
vector<int> count(n);
vector<dat> st;
vector<dat> done;
vector<ll> ans(n);
auto calc_next_transaction = [&](dat x) {
int fst = x.counts[0];
int lst = x.counts[x.counts.size() - 1];
for (int i = lst - 1; i > fst; i--) {
if (ans[i] != 0)
return ans[i] - 1;
}
return (x.total_price - 1) / (int)x.counts.size();
};
auto get_dat = [&](ll x) {
auto [v, rest] = transaction(x);
for (int i : v)
count[i]++;
for (int i = (int)v.size() - 1; i >= 0; i--) {
if (ans[v[i]] != 0) {
rest += ans[v[i]];
v.erase(v.begin() + i);
}
}
dat res;
res.counts = v;
res.total_price = x - rest;
return res;
};
ans[0] = p0;
while (true) {
int idx = -1;
for (int i = 0; i < n; i++) {
if (ans[i] == 0) {
idx = i;
break;
}
}
if (idx == -1)
break;
auto process = [&](ll x) {
st.push_back(get_dat(x));
for (int i = (int)st.size() - 1; i >= 0; i--) {
if (st[i].counts.size() == 1) {
ans[st[i].counts[0]] = st[i].total_price;
done.push_back(st[i]);
st.erase(st.begin() + i);
}
}
while (!done.empty()) {
auto d = done.back();
done.pop_back();
for (int i = (int)st.size() - 1; i >= 0; i--) {
st[i].reduce(d);
if (st[i].counts.size() == 1) {
ans[st[i].counts[0]] = st[i].total_price;
done.push_back(st[i]);
st.erase(st.begin() + i);
}
}
}
};
process(ans[idx - 1] - 1);
while (!st.empty()) {
sort(st.rbegin(), st.rend());
auto fst = st[0];
ll next_transaction = calc_next_transaction(fst);
process(next_transaction);
}
}
for (int i = 1; i < n; i++) {
while (count[i] < i) {
transaction(ans[i]);
count[i]++;
}
}
}
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