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- #define pragma
- #ifdef pragma
- #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops")
- //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
- #endif // pragma
- #include<bits/stdc++.h>
- #include <ext/pb_ds/assoc_container.hpp>
- #include <ext/pb_ds/tree_policy.hpp>
- #define ll long long
- #define all(x) begin(x), end(x)
- #define pb push_back
- #define x first
- #define y second
- //#define int long long
- #define zero(two) memset(two, 0, sizeof(two))
- using namespace std;
- using namespace __gnu_pbds;
- typedef vector<int> vi;
- typedef vector<bool> vb;
- typedef pair<int, int> pii;
- typedef long double ld;
- typedef vector<vi> matrix;
- template<typename T>
- using kawaii_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
- const ld PI = atan2(0, -1);
- void seriy() {
- ios::sync_with_stdio(0);
- cin.tie(0);
- cout.tie(0);
- // cout << fixed << setprecision(10);
- #if _offline
- freopen("input.txt", "r", stdin);
- freopen("output.txt", "w", stdout);
- #endif
- }
- const int MAXN = 1e6 + 10;
- const int INF = 1e9 + 7;
- const int MAXLOG = 20;
- const int MOD = 998244353;
- const int BASE = 47;
- vi mn(vi a, vi b) {
- vi c = a;
- vi d = b;
- while(a.size() && a.back() == b.back()) {
- a.pop_back();
- b.pop_back();
- }
- if(!a.size()) return c;
- if(a.back() < b.back()) {
- return c;
- }
- return d;
- }
- signed main() {
- seriy();
- int n;
- cin >> n;
- vector<string> s(n);
- vi a(n);
- vi cnt(MAXN);
- bool f = 0;
- vector<vi> r(n);
- vi lst(n);
- for(int i = 0; i < n; i++) {
- cin >> s[i];
- reverse(all(s[i]));
- int cc = 0;
- for(int j = 0; j < s[i].size(); j++) {
- r[i].pb(s[i][j] - '0');
- if(s[i][j] == '1') {
- cc++;
- lst[i] = j;
- a[i] = j;
- }
- }
- f = f | (cc > 1);
- cnt[a[i]]++;
- }
- if(!f) {
- vb used(MAXN);
- for(int i = 0; i < MAXN; i++) {
- if(cnt[i] > 0) {
- used[i] = 1;
- cnt[i + 1] += cnt[i] - 1;
- }
- }
- while(used.back() == 0) {
- used.pop_back();
- }
- reverse(all(used));
- for(auto i : used) {
- cout << i;
- }
- return 0;
- }
- while(r[0].size() < r[1].size()) {
- r[0].pb(0);
- }
- while(r[1].size() < r[0].size()) {
- r[1].pb(0);
- }
- r[0].pb(0);
- r[0].pb(0);
- r[1].pb(0);
- r[1].pb(0);
- vi ans(r[0].size(), 1);
- for(int i = 0; i < r[0].size(); i++) {
- vector<vi> b = r;
- for(int j = 0; j < i; j++) {
- b[0][j] = 0;
- }
- if(i > lst[0] || b[0][i] == 0) {
- b[0][i] = 1;
- }
- else {
- continue;
- }
- // for(auto j : b[0]) {
- // cerr << j;
- // }
- // cerr << '\n';
- // for(auto j : b[1]) {
- // cerr << j;
- // }
- // cerr << '\n' << '\n';
- vi kek(r[0].size());
- bool f = 0;
- for(int j = 0; j < b[0].size(); j++) {
- f = f | (b[0][j] & b[1][j]);
- kek[j] = b[0][j] | b[1][j];
- }
- if(!f) {
- ans = mn(ans, kek);
- }
- }
- for(int i = 0; i < r[1].size(); i++) {
- vector<vi> b = r;
- for(int j = 0; j < i; j++) {
- b[1][j] = 0;
- }
- if(i > lst[1] || b[1][i] == 0) {
- b[1][i] = 1;
- }
- else {
- continue;
- }
- bool f = 0;
- vi kek(r[0].size());
- for(int j = 0; j < b[1].size(); j++) {
- f = f | (b[0][j] & b[1][j]);
- kek[j] = b[0][j] | b[1][j];
- }
- if(!f) {
- ans = mn(ans, kek);
- }
- }
- vi kek(r[0].size());
- bool fl = 0;
- for(int j = 0; j < r[1].size(); j++) {
- kek[j] = r[0][j] | r[1][j];
- fl = fl | (r[0][j] & r[1][j]);
- }
- if(!fl) {
- ans = mn(ans, kek);
- }
- while(ans.back() == 0) {
- ans.pop_back();
- }
- while(ans.size()) {
- cout << ans.back();
- ans.pop_back();
- }
- return 0;
- }
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