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;
#define int long long
const long long inf = LLONG_MAX;
map<long long, long long> memo;
vector<int> arr;
int d; long long K;
// bool attempt(long long R) {
// if (par.count(R)) return (par[R] != inf);
// par[R] = inf;
// for (int x : arr) if (abs(R - x) % K == 0)
// if (R == x || attempt((R - x) / K)) {par[R] = x; return 1;}
// return 0;
// }
bool attempt(long long a){
if(memo.count(a))return memo[a]!=LLONG_MAX;
memo[a]=LLONG_MAX;
for(auto x:arr){
if((a-x)%K==0){
if(a-x==0||attempt((a-x)/K)){
memo[a]=x;
return true;
}
}
}
return false;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int q, m; cin >> K >> q >> d >> m;
arr.resize(d);
for (int i = 0; i < d; ++i) cin >> arr[i];
long long N; bool pass;
while (q--) {
cin >> N; pass = attempt(N);
if (!pass) cout << "IMPOSSIBLE\n";
else {
vector<int> ans; long long x;
while (1) {
x = memo[N]; ans.push_back(x);
N = (N - x) / K;
if (N == 0) break;
}
reverse(ans.begin(), ans.end());
for (int i : ans) cout << i << ' ';
cout << '\n';
}
}
}
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