#include "souvenirs.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int n, cnt[105];
ll p[105];
ll adu_calculate(ll s, int k) {
    s += k*(k-1)/2 + k - 1;
    return s/k;
}
void adu_build(ll money) {
    auto [a, remain] = transaction(money);
    int k = a.size();
    ll sum = money - remain;
    for (int i : a)
        cnt[i]++;
    if (k>1) {
        ll x = adu_calculate(sum, k);
        adu_build(x-1);
    }
    while (a.size()>1) {
        sum -= p[a.back()];
        a.pop_back();
    }
    p[a[0]] = sum;
    if (a[0]+1<n && p[a[0]+1]==0) adu_build(p[a[0]]-1);
}
void adu_complete() {
    for (int i=1; i<n; i++) {
        while (cnt[i]<i) {
            transaction(p[i]);
            cnt[i]++;
        }
    }
}
void buy_souvenirs(int N, ll P0) {
    n = N;
    p[0] = P0;
    adu_build(P0-1);
    adu_complete();
}
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