This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l)==r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
const int MAX_N = 2010, MAX_W = 30, inf = MAX_N - 5, p = 1e9 + 7;
ll hs(int a, int b) {
if (a > b) swap(a, b);
return 1000000ll * a + b;
}
unordered_map<ll, int> mp;
int cal(int a, int b) {
if (a + b <= 1) return a + b;
if (a == b) return -1;
if (a < b) swap(a, b);
if (mp.count(hs(a, b))) return mp[hs(a, b)];
int need = a / (b + 1);
int val = cal(a - need * (b + 1), b);
if (val == -1) need = -1;
else need += val;
return mp[hs(a, b)] = need;
}
void gen(int a, int b) {
vector<int> res;
while (a + b) {
if (a < b) {
res.pb(1);
b -= a + 1;
}
else {
res.pb(0);
a -= b + 1;
}
}
for (int i = 0;i < res.size();++i)
cout << res[i] << " \n"[i+1==res.size()];
}
int32_t main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int T;
cin >> T;
//#define BI(i) bitset<10>(i).to_string()
while (T--) {
int k;
cin >> k;
int cnt = 0;
int need = inf, ind = -1;
for (int i = 0;i <= k;++i) {
int v = cal(i, k - i);
if (v == -1) continue;
if (chmin(need, v))
ind = i;
++cnt;
}
cout << cnt << '\n';
gen(ind, k - ind);
}
}
Compilation message (stderr)
binary.cpp: In function 'void gen(int, int)':
binary.cpp:59:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
59 | for (int i = 0;i < res.size();++i)
| ~~^~~~~~~~~~~~
binary.cpp:60:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
60 | cout << res[i] << " \n"[i+1==res.size()];
| ~~~^~~~~~~~~~~~
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