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#define _GLIBCXX_DEBUG 1
#define _GLIBCXX_SANITIZE_VECTOR 1
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
template<typename T>
T _lg_check(T n) {
assert(n > 0);
return __lg(n);
}
#define __lg _lg_check
namespace util {
mt19937 rd(0);
int randint(int l, int r) {
assert(l <= r);
return uniform_int_distribution<int>(l, r)(rd);
}
int randint(int x) {
assert(x > 0);
return randint(0, x-1);
}
int randint() {
return randint(-1'000'000, +1'000'000);
}
}
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