This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ii> vii;
typedef vector<vii> vvii;
typedef pair<double, double> dodo;
#define mp(x, y) make_pair(x, y)
#define pb(x) push_back(x)
#define INF 1000000000
int N;
string out;
void func2(int a, int b) {
if (a == 0 || b == 0) return;
if (a < b) {
int k = b/a;
for (int i = 0; i < k; i++) out += "1 ";
func2(a, b%a);
} else {
int k = a/b;
for (int i = 0; i < k; i++) out += "0 ";
func2(a%b, b);
}
}
int func(int a, int b) {
if (a == 0) {
if (b == 1) return 0;
else return INF;
}
if (b == 0) {
if (a == 1) return 0;
else return INF;
}
if (a < b) {
return b/a + func(a, b%a);
} else {
return a/b + func(a%b, b);
}
}
int main(int argc, char **argv) {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> N;
for (int i = 0; i < N; i++) {
out = "";
int x; cin >> x;
int cnt = 0;
int best = 1000000000;
int bestj = 1;
for (int j = 1; j <= (x+2)/2; j++) {
int res = func(j, x+2-j);
if (res < INF) {
cnt++;
if (res < best) {
best = res;
bestj = j;
}
}
}
cout << 2*cnt << '\n';
out = "";
func2(bestj, x+2-bestj);
cout << out.substr(0, out.length()-2) << '\n';
}
return 0;
}
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