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Copy pathD.cpp
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60 lines (58 loc) · 1.44 KB
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/*
© 2020-12-28 08:35:01 Franco1010 All Rights Reserved
*/
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#define f first
#define s second
#define fore(i,a,b) for(int i = (a), ThxMK = (b); i < ThxMK; ++i)
#define pb push_back
#define all(s) begin(s), end(s)
#define _ ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define sz(s) int(s.size())
#define ENDL '\n'
using namespace std;
typedef long double ld;
typedef long long lli;
typedef pair<lli,lli> ii;
typedef vector<lli> vi;
#define deb(x) cout << #x": " << (x) << endl;
int main(){ _
// freopen("file.in","r",stdin);
// freopen("file.out","w",stdout);
lli t; cin >> t;
// fore(n, 3, 10000)
while(t--)
{
lli n; cin >> n;
// lli n = 100000;
lli p = 2;
vi pot = {1};
while(pot.back() * p < n) pot.pb(pot.back() * p);
vector<ii> ans;
lli cur = n;
for(lli i = n - 1; i >= 3; i--){
if(i == pot.back()){
lli foo = ceil(double(cur) / double(i));
if(foo >= i){
cur = foo;
ans.pb({n, i});
}
pot.pop_back();
ans.pb({i, n});
}else{
ans.pb({i, n});
}
}
while(cur > 1) {
ans.pb({n, 2});
lli foo = ceil(double(cur) / double(2));
cur = foo;
}
// if(sz(ans) > n + 5) deb(n);
cout << sz(ans) << ENDL;
for(auto i : ans) cout << i.f << ' ' << i.s << ENDL;
}
return 0;
}