#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 1e5+5, INF = 2e9+9;
int m, Q;
int dp[10000005];
vector<int> primes;
struct Bag
{
multiset<int> ms;
int aux = 0;
int max() {
return *ms.rbegin() + aux;
}
void delta(int x) {
aux += x;
}
void insert(int x) {
ms.insert(x-aux);
}
void remove(int x) {
auto it = ms.find(x-aux);
ms.erase(it);
}
};
struct Bag2
{
set<pair<int,int>> ms;
int aux = 0;
void delta(int x) {
aux += x;
}
pair<int,int> min() {
return {ms.begin()->first+aux,ms.begin()->second};
}
void pop() {
ms.erase(ms.begin());
}
void insert(pair<int,int> p) {
ms.insert({p.first-aux,p.second});
}
};
int main()
{
ios_base::sync_with_stdio(false); cin.tie(NULL);
cin >> m >> Q;
for (int i = 0; i < m; i++) {
int p; cin >> p;
primes.push_back(p);
}
sort(primes.begin(),primes.end());
int maxPrime = primes.back();
for (int i = 1; i < maxPrime; i++) {
dp[i] = 1;
}
Bag bag;
Bag2 mods;
for (int p: primes) {
bag.insert((maxPrime-1)%p);
mods.insert({p-((maxPrime-1)%p),p});
}
int maxQ = 0;
vector<int> queries;
while (Q--) {
int qi; cin >> qi;
queries.push_back(qi);
maxQ = max(maxQ,qi);
}
for (int i = maxPrime; i <= maxQ; i++) {
bag.delta(1);
mods.delta(-1);
while (mods.min().first == 0) {
int p = mods.min().second;
mods.pop();
mods.insert({p,p});
bag.remove(p);
bag.insert(0);
}
dp[i] = INF;
int mxmod = bag.max();
dp[i] = min(dp[i],1+dp[i-mxmod]);
/*
cout << i << " : " << mxmod << ' ';
int mx = 0;
for (int p: primes) {
mx = max(mx,i%p);
}
cout << mx << '\n';
*/
}
/*
for (int i = 1; i <= 50; i++) {
cout << i << ": " << dp[i] << '\n';
}
*/
for (int qi: queries) {
if (dp[qi] == INF) cout << "oo\n";
else cout << dp[qi] << '\n';
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
4 ms |
376 KB |
Output is correct |
| 3 |
Correct |
3 ms |
424 KB |
Output is correct |
| 4 |
Correct |
4 ms |
504 KB |
Output is correct |
| 5 |
Correct |
2 ms |
376 KB |
Output is correct |
| 6 |
Correct |
2 ms |
376 KB |
Output is correct |
| 7 |
Correct |
3 ms |
376 KB |
Output is correct |
| 8 |
Correct |
4 ms |
376 KB |
Output is correct |
| 9 |
Correct |
2 ms |
376 KB |
Output is correct |
| 10 |
Correct |
5 ms |
376 KB |
Output is correct |
| 11 |
Correct |
5 ms |
376 KB |
Output is correct |
| 12 |
Correct |
2 ms |
424 KB |
Output is correct |
| 13 |
Correct |
4 ms |
504 KB |
Output is correct |
| 14 |
Correct |
4 ms |
632 KB |
Output is correct |
| 15 |
Correct |
5 ms |
376 KB |
Output is correct |
| 16 |
Correct |
4 ms |
376 KB |
Output is correct |
| 17 |
Correct |
5 ms |
508 KB |
Output is correct |
| 18 |
Correct |
4 ms |
508 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
1068 ms |
39328 KB |
Time limit exceeded |
| 2 |
Correct |
91 ms |
44532 KB |
Output is correct |
| 3 |
Execution timed out |
1082 ms |
19000 KB |
Time limit exceeded |
| 4 |
Execution timed out |
1078 ms |
19288 KB |
Time limit exceeded |
| 5 |
Execution timed out |
1080 ms |
14764 KB |
Time limit exceeded |
| 6 |
Correct |
691 ms |
14112 KB |
Output is correct |
| 7 |
Execution timed out |
1083 ms |
38668 KB |
Time limit exceeded |
| 8 |
Correct |
694 ms |
15256 KB |
Output is correct |
| 9 |
Execution timed out |
1068 ms |
15836 KB |
Time limit exceeded |
| 10 |
Execution timed out |
1082 ms |
19204 KB |
Time limit exceeded |
| 11 |
Execution timed out |
1079 ms |
10324 KB |
Time limit exceeded |
| 12 |
Execution timed out |
1073 ms |
9356 KB |
Time limit exceeded |
| 13 |
Correct |
895 ms |
39416 KB |
Output is correct |
| 14 |
Execution timed out |
1070 ms |
19448 KB |
Time limit exceeded |
| 15 |
Execution timed out |
1084 ms |
10888 KB |
Time limit exceeded |
| 16 |
Correct |
94 ms |
44532 KB |
Output is correct |
| 17 |
Execution timed out |
1078 ms |
5144 KB |
Time limit exceeded |
| 18 |
Execution timed out |
1064 ms |
32260 KB |
Time limit exceeded |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
1072 ms |
12304 KB |
Time limit exceeded |
| 2 |
Execution timed out |
1079 ms |
10872 KB |
Time limit exceeded |
| 3 |
Execution timed out |
1076 ms |
11640 KB |
Time limit exceeded |
| 4 |
Execution timed out |
1081 ms |
9340 KB |
Time limit exceeded |
| 5 |
Execution timed out |
1081 ms |
40916 KB |
Time limit exceeded |
| 6 |
Execution timed out |
1079 ms |
6620 KB |
Time limit exceeded |
| 7 |
Execution timed out |
1084 ms |
26356 KB |
Time limit exceeded |
| 8 |
Execution timed out |
1076 ms |
12596 KB |
Time limit exceeded |
| 9 |
Execution timed out |
1080 ms |
12604 KB |
Time limit exceeded |
| 10 |
Execution timed out |
1068 ms |
8508 KB |
Time limit exceeded |
| 11 |
Execution timed out |
1073 ms |
11272 KB |
Time limit exceeded |
| 12 |
Execution timed out |
1070 ms |
6232 KB |
Time limit exceeded |
| 13 |
Execution timed out |
1069 ms |
9832 KB |
Time limit exceeded |
| 14 |
Execution timed out |
1075 ms |
9364 KB |
Time limit exceeded |
| 15 |
Execution timed out |
1077 ms |
5672 KB |
Time limit exceeded |
| 16 |
Execution timed out |
1075 ms |
5124 KB |
Time limit exceeded |
| 17 |
Execution timed out |
1075 ms |
11852 KB |
Time limit exceeded |
| 18 |
Execution timed out |
1083 ms |
10924 KB |
Time limit exceeded |
| 19 |
Execution timed out |
1077 ms |
32100 KB |
Time limit exceeded |
| 20 |
Execution timed out |
1075 ms |
11860 KB |
Time limit exceeded |
| 21 |
Execution timed out |
1075 ms |
7284 KB |
Time limit exceeded |
| 22 |
Execution timed out |
1084 ms |
18608 KB |
Time limit exceeded |
| 23 |
Execution timed out |
1078 ms |
21832 KB |
Time limit exceeded |
| 24 |
Correct |
883 ms |
40384 KB |
Output is correct |
| 25 |
Execution timed out |
1073 ms |
8664 KB |
Time limit exceeded |
| 26 |
Execution timed out |
1080 ms |
9328 KB |
Time limit exceeded |
| 27 |
Execution timed out |
1078 ms |
18812 KB |
Time limit exceeded |
| 28 |
Execution timed out |
1072 ms |
31308 KB |
Time limit exceeded |
| 29 |
Execution timed out |
1079 ms |
19240 KB |
Time limit exceeded |
| 30 |
Execution timed out |
1073 ms |
15060 KB |
Time limit exceeded |
| 31 |
Execution timed out |
1070 ms |
22468 KB |
Time limit exceeded |
| 32 |
Execution timed out |
1078 ms |
17000 KB |
Time limit exceeded |
| 33 |
Correct |
503 ms |
40364 KB |
Output is correct |
| 34 |
Execution timed out |
1085 ms |
26336 KB |
Time limit exceeded |
| 35 |
Execution timed out |
1090 ms |
26480 KB |
Time limit exceeded |
| 36 |
Execution timed out |
1076 ms |
17880 KB |
Time limit exceeded |
| 37 |
Execution timed out |
1083 ms |
40940 KB |
Time limit exceeded |
| 38 |
Execution timed out |
1080 ms |
6708 KB |
Time limit exceeded |
| 39 |
Execution timed out |
1077 ms |
35212 KB |
Time limit exceeded |
| 40 |
Execution timed out |
1076 ms |
8148 KB |
Time limit exceeded |
| 41 |
Correct |
103 ms |
39668 KB |
Output is correct |
| 42 |
Execution timed out |
1080 ms |
5492 KB |
Time limit exceeded |
