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>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
//#define int long long
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int LOG = 20;
const int maxn = 1e5 + 5;
ll n, mod, ans = 0;
vector<ll> vec;
string s;
ll dp[2][5][5][5][2];
signed main() {
cin >> n >> mod >> s;
vec.push_back(0);
for(int i=0; i<n; i++) {
if(s[i] == 'L') vec.push_back(-1);
else vec.push_back(1);
}
dp[0][2][2][2][0] = 1;
for(int pos=0; pos<n; pos++) {
for(int mn=0; mn<=4; mn++) {
for(int mx=mn; mx<=min(4, mn+2); mx++) {
for(int curr=mn; curr<=mx; curr++) {
for(int under=0; under<2; under++) {
for(int i=-1; i<=1; i++) {
if(i == 0) continue;
if(!under && i > vec[pos+1]) continue;
int nmn = min(mn, curr + i);
int nmx = max(mx, curr + i);
int nu = under | (i < vec[pos+1]);
if(nmx - nmn > 2 || nmn < 0 || nmx > 4) continue;
dp[1][nmn][nmx][curr+i][nu] = (dp[0][mn][mx][curr][under] + dp[1][nmn][nmx][curr+i][nu]) % mod;
}
}
}
}
}
for(int mn=0; mn<=4; mn++) {
for(int mx=mn; mx<=4; mx++) {
for(int curr=mn; curr<=mx; curr++) {
for(int under=0; under<2; under++) {
dp[0][mn][mx][curr][under] = dp[1][mn][mx][curr][under];
dp[1][mn][mx][curr][under] = 0;
}
}
}
}
}
ll ans = 0;
for(int mn=0; mn<=4; mn++)
for(int mx=mn; mx<=min(4, mn+2); mx++)
for(int curr=mn; curr<=mx; curr++) ans = (ans + dp[0][mn][mx][curr][1]) % mod;
cout << (ans + 1) % mod << '\n';
return 0;
}
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