#include <iostream>
#include <algorithm>
#include <set>
using namespace std;
const int N = 107;
typedef long long ll;
const ll MOD = 1e9+7;
int A[N],base[N];
ll dp[N][2]; // 0 - prev was not split, 1 - prev was split
ll X(int n){
if (n<0){
return 0;
}
return (n+2)/2;
}
void normalize(int *A,int &n){
multiset<int> S;
for(int i = 1;i<=n;i+=1){
S.insert(A[i]);
}
int ptr = 0;
while(1){
bool flag = false;
for(auto it = S.rbegin();it!=S.rend();it = next(it)){
int v = *it;
if (S.count(v-1) && !S.count(v+1)){
S.erase(S.lower_bound(v));
S.erase(S.lower_bound(v-1));
S.insert(v+1);
flag = true;
break;
}
}
if (!flag && S.count(0)>=2){
S.erase(S.lower_bound(0));
S.erase(S.lower_bound(0));
S.insert(1);
}
else if (!flag){
break;
}
}
for(int to:S){
A[++ptr] = to;
}
n = ptr;
}
int M[N];
bool compare(int *A,int *B,int sz){
for(int i = 1;i<=sz;i+=1){
if (A[i]!=B[i]){
return 0;
}
}
return 1;
}
ll calc(int &n){
normalize(A,n);
int ret = 0;
for(int mask = 0;mask<(1<<(A[n]+1));mask+=1){
int ptr = 0;
for(int bit = 0;bit<A[n]+1;bit+=1){
if (mask&(1<<bit)){
M[++ptr] = bit;
}
}
normalize(M,ptr);
if (ptr==n && compare(A,M,ptr)){
ret += 1;
}
}
return ret;
}
ll solve(int &n){
normalize(A,n);
dp[0][0] = 1;
for(int i = 1;i<=n;i+=1){
dp[i][0] = (A[i-1]!=A[i]?dp[i-1][0]:0)+dp[i-1][1];
dp[i][1] = dp[i-1][0]*X(A[i]-2-A[i-1])+dp[i-1][1]*X(A[i]-2-(A[i-1]-1));
dp[i][0] %= MOD;
dp[i][1] %= MOD;
}
return (dp[n][0]+dp[n][1])%MOD;
}
int main(){
int n;
cin>>n;
int sz = 0;
for(int i = 1;i<=n;i+=1){
cin>>base[i];
base[i] -= 1;
for(int j = 1;j<=i;j+=1){
A[j] = base[j];
}
sz = i;
cout<<calc(sz)<<'\n';
/* cout<<"GDB ";
for(int i = 1;i<=sz;i+=1){
cout<<A[i]<<' ';
}
cout<<'\n';*/
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
4065 ms |
296 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
4037 ms |
316 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |