#include #include using namespace std; using namespace atcoder; #define all(...) std::begin(__VA_ARGS__), std::end(__VA_ARGS__) #define rall(...) std::rbegin(__VA_ARGS__), std::rend(__VA_ARGS__) #define OVERLOAD_REP(_1, _2, _3, _4, name, ...) name #define REP1(n) for(ll i=0;i=0;i--) #define RREP2(i, n) for(ll i=n-1;i>=0;i--) #define RREP3(i, a, n) for(ll i=n-1;i>=a;i--) #define RREP4(i, a, b, n) for(ll i=n-1;i>=a;i-=b) #define rrep(...) OVERLOAD_RREP(__VA_ARGS__, RREP4, RREP3, RREP2, RREP1)(__VA_ARGS__) #define foa(a,v) (auto& a : (v)) #define uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define len(n) (long long)(n).size() #define pb push_back using ll = long long; using ld = long double; using ull = unsigned long long; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vs = vector; using vvs = vector; using vvvs = vector; using vld = vector; using vvld = vector; using vvvld = vector; using vc = vector; using vvc = vector; using vvvc = vector; using pll = pair; using vpll = vector; template constexpr auto min(T... a){ return min(initializer_list>{a...}); } template constexpr auto max(T... a){ return max(initializer_list>{a...}); } template void input(T&... a){ (cin >> ... >> a); } ll POW(ll a,ll b){ ll ans = 1; while (b){ if (b & 1){ ans *= a; } a *= a; b /= 2; } return ans; } ll MODPOW(ll a,ll b,ll c){ ll ans = 1; while (b){ if (b & 1){ ans *= a; ans %= c; } a *= a; a %= c; b /= 2; } return ans; } #define OVERLOAD_POW(_1, _2, _3, name, ...) name #define pow(...) OVERLOAD_POW(__VA_ARGS__, MODPOW, POW)(__VA_ARGS__) #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; input(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__; input(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define CHA(...) char __VA_ARGS__; input(__VA_ARGS__) #define VLL(name,length) vll name(length);rep(i,length){cin >> name[i];} #define VVLL(name,h,w) vvll name(h,vll(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLL(name,a,b,c) vvvll name(a,vvll(b,vll(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VI(name,length) vi name(length);rep(i,length){cin >> name[i];} #define VVI(name,h,w) vvi name(h,vi(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVI(name,a,b,c) vvvi name(a,vvll(b,vi(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VLD(name,length) vld name(length);rep(i,length){cin >> name[i];} #define VVLD(name,h,w) vvld name(h,vld(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLD(name,a,b,c) vvvld name(a,vvld(b,vld(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VC(name,length) vc name(length);rep(i,length){cin >> name[i];} #define VVC(name,h,w) vvc name(h,vc(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVC(name,a,b,c) vvvc name(a,vvc(b,vc(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VS(name,length) vs name(length);rep(i,length){cin >> name[i];} #define VVS(name,h,w) vvs name(h,vs(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVS(name,a,b,c) vvvs name(a,vvs(b,vs(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define PLL(name) pll name;cin>>name.first>>name.second; #define VPLL(name,length) vpll name(length);rep(i,length){cin>>name[i].first>>name[i].second;} void print(){cout << "\n";} template void print(const T& a, const Ts&... b){cout << a;(cout << ... << (cout << ' ', b));cout << '\n';} void print(vll x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvll x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vi x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvi x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvi x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(vld x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvld x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvld x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(vc x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvc x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvc x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(vs x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvs x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvs x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(pll x){cout << x.first << x.second << '\n';} void print(vpll x){rep(i,len(x)){cout << x[i].first << x[i].second << '\n';}} using mint = modint998244353; int main(){ LL(l,k); STR(s); STR(t); VLL(a,26); ll su = 0; rep(i,26){ su += a[i]; } mint inv = mint(su).inv(); vector> dp(k+2,vector(k+2,mint(0))); dp[0][0] = 1; mint ans1 = 0; mint ans2 = 0; rep(i,k+1){ vector> ndp(k+2,vector(k+2,mint(0))); rep(j,k+1){ rep(m,k+1){ if(abs(j-m) == l){ if(j > m){ ans1 += dp[j][m]; } else{ ans2 += dp[j][m]; } continue; } if(abs(j-m) > l){ continue; } if(s[j%l] != t[m%l]){ ndp[j][m] += dp[j][m] * (su - (a[s[j%l] - 'a']) - (a[t[m%l] - 'a'])) * inv; ndp[j+1][m] += dp[j][m] * (a[s[j%l] - 'a']) * inv; ndp[j][m+1] += dp[j][m] * (a[t[m%l] - 'a']) * inv; } else{ ndp[j][m] += dp[j][m] * (su - (a[s[j%l] - 'a'])) * inv; ndp[j+1][m+1] += dp[j][m] * (a[t[m%l] - 'a']) * inv; } } } dp = ndp; } print(ans1.val(),ans2.val()); }