// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
namespace templates {
// type
using ll = long long;
using ull = unsigned long long;
using Pii = pair<int, int>;
using Pil = pair<int, ll>;
using Pli = pair<ll, int>;
using Pll = pair<ll, ll>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
// clang-format off
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
// clang-format on
// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on
// const value
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
const double PI = acos(-1);
// other macro
#ifndef RIN__LOCAL
// #define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)
// function
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
string ctos(vector<char> &S) {
int n = S.size();
string ret = "";
for (int i = 0; i < n; i++) ret += S[i];
return ret;
}
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
// input and output
namespace io {
// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << ' ';
}
return os;
}
// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
is >> A.first >> A.second;
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
os << A.first << ' ' << A.second;
return os;
}
// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
is >> A[i];
}
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// tuple
template <typename T, size_t N>
struct TuplePrint {
static ostream &print(ostream &os, const T &t) {
TuplePrint<T, N - 1>::print(os, t);
os << ' ' << get<N - 1>(t);
return os;
}
};
template <typename T>
struct TuplePrint<T, 1> {
static ostream &print(ostream &os, const T &t) {
os << get<0>(t);
return os;
}
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
return os;
}
// io functions
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(std::forward<Tail>(tail)...);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void prispa(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &...a) {
(cin >> ... >> a);
}
} // namespace io
using namespace io;
// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
// yes / no
namespace yesno {
// yes
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
// no
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// possible
inline bool possible(bool f = true) {
cout << (f ? "possible" : "impossible") << endl;
return f;
}
inline bool Possible(bool f = true) {
cout << (f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool POSSIBLE(bool f = true) {
cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// impossible
inline bool impossible(bool f = true) {
cout << (!f ? "possible" : "impossible") << endl;
return f;
}
inline bool Impossible(bool f = true) {
cout << (!f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool IMPOSSIBLE(bool f = true) {
cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// Alice Bob
inline bool Alice(bool f = true) {
cout << (f ? "Alice" : "Bob") << endl;
return f;
}
inline bool Bob(bool f = true) {
cout << (f ? "Bob" : "Alice") << endl;
return f;
}
// Takahashi Aoki
inline bool Takahashi(bool f = true) {
cout << (f ? "Takahashi" : "Aoki") << endl;
return f;
}
inline bool Aoki(bool f = true) {
cout << (f ? "Aoki" : "Takahashi") << endl;
return f;
}
} // namespace yesno
using namespace yesno;
} // namespace templates
using namespace templates;
#include "misc/RandomNumberGenerator.hpp"
RandomNumberGenerator rng;
void solve() {
const int n = 100;
vec(int, P, n);
iota(all(P), 1);
rng.shuffle(P);
map<ll, ll> memo;
vector<int> Ps = {2, 3, 5, 7};
auto ask = [&](int i, int j) -> ll {
if (i > j) swap(i, j);
print("?", i + 1, j + 1);
cout.flush();
INT(ret);
return memo[i * n + j] = ret;
};
vec(int, ind, 4, -1);
while (min(ind) == -1) {
int a = rng(n);
int b = rng(n);
if (a == b) continue;
auto res = ask(a, b);
if (res % 6 == 0) {
ind[0] = a;
ind[1] = a;
}
if (res % 5 == 0) {
ind[2] = a;
}
if (res % 7 == 0) {
ind[3] = a;
}
}
vec(int, prod, n, 1);
fori(i, 4) {
int p = Ps[i];
prod[ind[i]] *= p;
for (int j = 0; j < n; j++) {
if (ind[i] == j) continue;
auto res = ask(ind[i], j);
if (res % p == 0) {
prod[j] *= p;
}
}
}
auto create = [&](int x) {
vector<int> res;
fori(i, n) {
if (prod[i] == x) res.push_back(i);
}
return res;
};
auto one = create(1);
auto two = create(2);
auto three = create(3);
auto five = create(5);
auto seven = create(7);
set<int> se;
for (auto o : one) se.insert(o);
{
int four = -1;
while (four == -1) {
int a = two[rng(two.size())];
int b = two[rng(two.size())];
if (a == b) continue;
auto res = ask(a, b);
if (res % 4 == 0) {
four = a;
break;
}
}
vector<int> nex_two;
for (auto t : two) {
if (t == four) continue;
auto res = ask(four, t);
if (res % 4 != 0) {
nex_two.push_back(t);
}
}
two = nex_two;
}
map<int, int> dic;
{
vec(bool, used, len(one), false);
for (auto a : two) {
vec(int, Q, len(one));
iota(all(Q), 0);
rng.shuffle(Q);
bool ok_ = true;
for (auto q : Q) {
if (used[q]) continue;
auto res = ask(one[q], a);
if (res != 1) {
used[q] = true;
dic[res] = one[q];
ok_ = false;
break;
}
}
if (ok_) {
se.insert(a);
}
}
}
{
int nine = -1;
while (nine == -1) {
int a = three[rng(three.size())];
int b = three[rng(three.size())];
if (a == b) continue;
auto res = ask(a, b);
if (res % 9 == 0) {
nine = a;
break;
}
}
vector<int> nex_three;
for (auto t : three) {
if (t == nine) continue;
auto res = ask(nine, t);
if (res % 9 != 0) {
nex_three.push_back(t);
break;
}
}
three = nex_three;
vector<int> three_p = {11, 13, 17, 19, 23, 29, 31};
vec(bool, used, len(three_p), false);
for (auto t : three) {
vec(int, Q, len(three_p));
iota(all(Q), 0);
rng.shuffle(Q);
bool ok_ = true;
for (auto q : Q) {
if (used[q]) continue;
int b = dic[three_p[q]];
auto res = ask(b, t);
if (res != 1) {
used[q] = true;
break;
}
}
if (ok_) {
se.insert(t);
break;
}
}
}
{
auto ten = create(10);
int tf = -1;
while (tf == -1) {
int a = ten[rng(ten.size())];
int b = ten[rng(ten.size())];
if (a == b) continue;
auto res = ask(a, b);
if (res % 25 == 0) {
tf = a;
break;
}
}
vector<int> nex_five;
for (auto t : five) {
if (t == tf) continue;
auto res = ask(tf, t);
if (res % 25 != 0) {
nex_five.push_back(t);
break;
}
}
five = nex_five;
vector<int> five_p = {11, 13, 17, 19};
vec(bool, used, len(five_p), false);
for (auto t : five) {
vec(int, Q, len(five_p));
iota(all(Q), 0);
rng.shuffle(Q);
bool ok_ = true;
for (auto q : Q) {
if (used[q]) continue;
int b = dic[five_p[q]];
auto res = ask(b, t);
if (res != 1) {
used[q] = true;
break;
}
}
if (ok_) {
se.insert(t);
break;
}
}
}
{
int fn = -1;
auto lst_14 = create(14);
while (fn == -1) {
int a = seven[rng(seven.size())];
int b = lst_14[rng(lst_14.size())];
auto res = ask(a, b);
if (res % 49 == 0) {
fn = a;
break;
}
}
vector<int> nex_seven;
for (auto t : seven) {
auto res = ask(fn, t);
if (res % 49 != 0) {
nex_seven.push_back(t);
break;
}
}
seven = nex_seven;
vector<int> seven_p = {11, 13};
vec(bool, used, len(seven_p), false);
for (auto t : seven) {
vec(int, Q, len(seven_p));
iota(all(Q), 0);
rng.shuffle(Q);
bool ok_ = true;
for (auto q : Q) {
if (used[q]) continue;
int b = dic[seven_p[q]];
auto res = ask(b, t);
if (res != 1) {
used[q] = true;
break;
}
}
if (ok_) {
se.insert(t);
break;
}
}
}
vec(int, ans, n, 0);
for (auto s : se) ans[s] = 1;
prispa("!");
prisep(ans, "");
}
int main() {
cin.tie(0)->sync_with_stdio(0);
// cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while (t--) solve();
return 0;
}