#include <bits/stdc++.h>
using namespace std;
//This is Grok code. I am using this website to test different AI's and their abilities to solve IOI problems. Please understand. I do not mean to cheat. Just trying to get a good grade on my science project.
pair<vector<int>, long long> transaction(long long M);
void buy_souvenirs(int N, long long P0) {
    vector<long long> P(N);
    P[0] = P0;
    // Discover P[1] to P[N-1] using binary search
    for (int i = 1; i < N; ++i) {
        long long low = 1;
        long long high = P[i - 1] - 1;
        long long price = -1;
        while (low <= high) {
            long long mid = low + (high - low) / 2;
            auto [types, rem] = transaction(mid);
            bool got_i_or_higher = false;
            for (int t : types) {
                if (t >= i) {
                    got_i_or_higher = true;
                    break;
                }
            }
            if (got_i_or_higher) {
                price = mid;
                high = mid - 1;
            } else {
                low = mid + 1;
            }
        }
        P[i] = price;
    }
    // Buy exactly i of type i for i=1 to N-1
    for (int i = 1; i < N; ++i) {
        for (int j = 0; j < i; ++j) {
            transaction(P[i]);
        }
    }
}
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