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>
#pragma GCC optimize("Ofast")
using namespace std;
const int MAX=1000005;
int dp[MAX][3],mod;
int add(int a,int b){
return a+b-(a+b>=mod?mod:0);
}
void calc(int N){
for(int n=0;n<=N;n++){
for(int d=0;d<3;d++){
int&ret=dp[n][d];
if(!n)ret=1;
else{
if(d-1>=0)ret=add(ret,dp[n-1][d-1]);
if(d+1<3)ret=add(ret,dp[n-1][d+1]);
}
}
}
}
int solve1(int n,int d){
int&ret=dp[n][d+1];
return ret;
}
int solve2(int n,int d){
int&ret=dp[n][d];
return ret;
}
int solve3(int n,int d){
int&ret=dp[n][-d];
return ret;
}
int index(string&s){
int mn=0,mx=0,d=0,res=0,n=s.size();
for(int i=0;i<n;i++){
if(s[i]=='L'){
mn=min(mn,d-1);
d--;
}else{
int x=0;
if(mx<=1&&min(mn,d-1)>=-1)res=add(res,solve1(n-i-1,d-1)),x++; // -1 to 1
if(mx<=2&&min(mn,d-1)>=0)res=add(res,solve2(n-i-1,d-1)),x++; // 0 to 2
if(mx<=0&&min(mn,d-1)>=-2)res=add(res,solve3(n-i-1,d-1)),x++;
if(x>1)res=add(res,mod-1);
mx=max(mx,d+1);
d++;
}
}
return add(res,1);
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
string s;
cin>>n>>mod>>s;
calc(n);
cout<<index(s);
return 0;
}
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