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
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcountll
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC
const int C = 3;
map <int, int> dp[C][C], t[C][C];
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
#else
#define endl '\n'
ios_base::sync_with_stdio(0); cin.tie(0);
#endif
int n, MOD;
string s;
cin >> n >> MOD >> s;
vector <int> mn(n + 1), mx(n + 1), cur(n + 1);
// L = -1
// P = 1
for (int i = 0; i < n; ++i) {
if (s[i] == 'L')
cur[i + 1] = cur[i] - 1;
else
cur[i + 1] = cur[i] + 1;
mn[i + 1] = min(mn[i], cur[i + 1]);
mx[i + 1] = max(mx[i], cur[i + 1]);
}
for (int l = 0; l < C; ++l)
for (int r = 0; r < C; ++r)
for (int b = -l; b <= r; ++b)
dp[l][r][b] = 1;
vector <int> de = {-1, 1};
int ans = 1;
for (int i = n - 1; i >= 0; --i) {
if (s[i] == 'P') {
int cur1 = cur[i] - 1;
int mn1 = max(-mn[i], -cur1);
int mx1 = max(mx[i], cur1);
if (mn1 < C && mx1 < C) {
ans += dp[mn1][mx1][cur1];
ans %= MOD;
//cout << mn1 << ' ' << mx1 << ' ' << cur1 << endl;
//cout << mn1 << ' ' << mx1 << ' ' << cur1 << " : " << dp[mn1][mx1][cur1] << endl;
}
}
//cout << "calc" << endl;
for (int l = 0; l <= 2; ++l) {
for (int r = 0; r <= 2; ++r) {
for (int cur = -l; cur <= r; ++cur) {
t[l][r][cur] = 0;
for (int x : de) {
int cur1 = cur + x;
int l1 = min(-l, cur1);
int r1 = max(r, cur1);
if (r1 - l1 <= 2) {
/*
if (l == 2 && r == 0 && cur == -1) {
cout << "add " << -l1 << ' ' << r1 << ' ' << cur1 << " : " << dp[-l1][r1][cur1] << endl;
}
*/
t[l][r][cur] += dp[-l1][r1][cur1];
t[l][r][cur] %= MOD;
}
}
}
}
}
for (int l = 0; l <= 2; ++l) {
for (int r = 0; r <= 2; ++r) {
for (int cur = -l; cur <= r; ++cur) {
dp[l][r][cur] = t[l][r][cur];
}
}
}
}
cout << ans % MOD << endl;
}
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