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;
#ifdef ONPC
#include"debug.h"
#else
#define debug(...) 42
#endif
#define endl '\n'
#define ll long long
#define pii pair<int,int>
#define F first
#define S second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
#define int long long
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
int mod = 1e9 + 7;
const int MAXN = 1e6 + 15;
const int inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
int n;
int dp[MAXN][5][5][5]; // len, min ,max, cur
int calc(int len, int mn, int mx, int cur){
if (mx - mn > 2) return 0;
if (dp[len][mn][mx][cur] != -1) return dp[len][mn][mx][cur];
if (len == 0) return dp[len][mn][mx][cur] = 1;
return dp[len][mn][mx][cur] = (calc(len - 1, min(mn, cur - 1), mx, cur - 1) + calc(len - 1, mn, max(mx, cur + 1), cur + 1))%mod;
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
memset(dp, -1, sizeof(dp));
cin >> n >> mod;
string s;
cin >> s;
int cur_sum = 2, mn = 2, mx = 2;
int ans = 1;
for (int i = 0; i < n; i++){
if (s[i] == 'L'){
cur_sum--;
ckmin(mn, cur_sum);
continue;
}
// now it is P
cur_sum--;
ans += calc(n - i - 1, min(cur_sum, mn), mx, cur_sum);
ans %= mod;
cur_sum += 2;
ckmax(mx, cur_sum);
}
cout << ans << endl;
}
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