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
void add(set<int> &si, int x) {
queue<int> qi;
qi.push(x);
while(!qi.empty()) {
int tmp = qi.front();
qi.pop();
if(si.count(tmp)) {
si.erase(tmp);
if(tmp==1) {
qi.push(2);
} else if(tmp==2) {
qi.push(1);
qi.push(3);
} else {
qi.push(tmp-2);
qi.push(tmp + 1);
}
continue;
} else if(si.count(tmp + 1)) {
si.erase(tmp + 1);
qi.push(tmp + 2);
} else if(si.count(tmp - 1)) {
si.erase(tmp - 1);
qi.push(tmp + 1);
} else {
si.insert(tmp);
}
}
}
const int mod = 1e9+7;
map<int,map<set<int>,int>> msii;
int state(set<int> vi, int cur) {
if(vi.empty())
return 1;
int x = *vi.rbegin();
if(msii[cur].count(vi))
return msii[cur][vi];
auto it = &msii[cur][vi];
int total = 0;
vi.erase(x);
if( x <=cur) {
total += state(vi,x - 1);
}
if(x - 1<=cur && x>2)
{
add(vi, x - 2);
total += state(vi,x - 2);
}
vi.insert(x);
*it = total%mod;
// if(x==2 && cur==4) {
// cout<<"TOTAL = "<<total<<'\n';
// }
return total % mod;
}
int32_t main() {
int n;
cin>>n;
vector<int> vi(n);
for(auto &a:vi)
cin>>a;
set<int> cur;
for(auto a:vi) {
add(cur,a);
// cout<<"CUR\n";
// for(auto a:cur)
// cout<<a<<' ';
// cout<<"\n";
cout<<state(cur, 1e9)<<"\n";
}
}
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