#ifdef LOCAL111 #define _GLIBCXX_DEBUG #else #pragma GCC optimize ("O3") #define NDEBUG #endif // #define _USE_MATH_DEFINES #include const int INF = 1e9; using namespace std; template ostream& operator<< (ostream& os, const pair& p) { os << '(' << p.first << ' ' << p.second << ')'; return os; } #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} #else #define DEBUG(x) true template void dpite(T a, T b){ return; } #endif #define F first #define S second #define SNP string::npos #define WRC(hoge) cout << "Case #" << (hoge)+1 << ": " template void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} template vector make_v(size_t a){return vector(a);} template auto make_v(size_t a,Ts... ts){ return vector(ts...))>(a,make_v(ts...)); } template typename enable_if::value!=0>::type fill_v(U &u,const V... v){u=U(v...);} template typename enable_if::value==0>::type fill_v(U &u,const V... v){ for(auto &e:u) fill_v(e,v...); } const array dx = {0, 1, 0, -1}; const array dy = {1, 0, -1, 0}; typedef long long int LL; typedef unsigned long long ULL; typedef pair P; void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } template class ModInt { public: const static long long mod = MOD; long long x; ModInt() { x = 0; } ModInt(long long x) { x %= mod; this->x = x < 0 ? x+mod : x; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if((x += that.get()) >= mod) x -= mod; return *this; } ModInt &operator-=(ModInt that) { if((x += mod-that.get()) >= mod) x -= mod; return *this; } ModInt &operator*=(ModInt that) { x = x*that.get()%mod; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { using std::swap; long long a = x, b = mod, u = 1, v = 0; while(b) { long long t = a/b; a -= t*b; swap(a,b); u -= t*v; swap(u,v); } return ModInt(u); } ModInt pow(int n) const{ ModInt b = *this; ModInt res = 1; while(n != 0) { if(n&1){ res *= b; } b *= b; n >>= 1; } return res; } bool operator==(ModInt that) const { return x == that.get(); } bool operator!=(ModInt that) const { return x != that.get(); } ModInt operator-() const { return x == 0 ? 0 : ModInt(mod-x); } }; template ostream& operator<< (ostream& os, const ModInt& m) { os << m.get(); return os; } template istream& operator>> (istream& is, ModInt& m){ long long n; is >> n; m = n; return is;} typedef ModInt<1000000007> mint; //library /* 10015727 10015739 10015783 10015801 10015813 10015847 */ class RollingHash { public: using mint0 = ModInt<1000000007>; using mint1 = ModInt<1000000009>; using mint2 = ModInt<999999937>; using H = tuple; mint0 b0; mint1 b1; mint2 b2; vector table; vector power_inv; RollingHash(const string& s, int b0i = 2, int b1i = 3, int b2i = 5) { int n = s.size(); table.reserve(n + 1); b0 = b0i; b1 = b1i; b2 = b2i; mint0 t0 = 1; mint1 t1 = 1; mint2 t2 = 1; table.emplace_back(0, 0, 0); mint0 val0 = 0; mint1 val1 = 0; mint2 val2 = 0; for(auto&& c : s) { val0 += t0 * c; val1 += t1 * c; val2 += t2 * c; table.emplace_back(val0, val1, val2); t0 *= b0; t1 *= b1; t2 *= b2; } power_inv.reserve(n + 1); t0 = 1; t1 = 1; t2 = 1; mint0 b0_inv = b0.inverse(); mint1 b1_inv = b1.inverse(); mint2 b2_inv = b2.inverse(); power_inv.emplace_back(t0, t1, t2); for (int i = 0; i < n; ++i) { t0 *= b0_inv; t1 *= b1_inv; t2 *= b2_inv; power_inv.emplace_back(t0, t1, t2); } } H query(int l, int r) { mint0 lval0, rval0, inv0; mint1 lval1, rval1, inv1; mint2 lval2, rval2, inv2; tie(lval0, lval1, lval2) = table[l]; tie(rval0, rval1, rval2) = table[r]; tie(inv0, inv1, inv2) = power_inv[l]; return H((rval0 - lval0) * inv0, (rval1 - lval1) * inv1, (rval2 - lval2) * inv2); } }; int main() { ios_init(); int n, q; LL k; while(cin >> n >> k >> q) { string s; cin >> s; vector a(q); REP(i, q) cin >> a[i]; RollingHash rh(s); reverse(ALL(s)); RollingHash rhr(s); reverse(ALL(s)); vector mav(n); REP(i, n) { DEBUG(i); int ri = n - 1 - i; // DEBUG(ri); int l = 0; int r = min(i, n - 1 - i) + 2; // DEBUG(l); DEBUG(r); while(l + 1 < r) { int m = (l + r) / 2; if(rh.query(i, i + m) == rhr.query(ri, ri + m)) { l = m; } else { r = m; } } // DEBUG(l); int v = l * 2 - 1; DEBUG(v); if(l == min(i, n - 1 - i) + 1 and 2 * i + 1 != n) { int ls, rs; if(i < n / 2) { ls = i + i + 1; rs = n - 1; } else { ls = 0; // DEBUG(n - 1 - i); rs = n - 1 - 2 * (n - 1 - i) - 1; } DEBUG(ls); DEBUG(rs); int l = 0; int r = (rs - ls + 1 + 1) / 2 + 1; DEBUG((rs - ls + 1) / 2 + 1); // DEBUG(l); DEBUG(r); while(l + 1 < r) { int m = (r + l) / 2; int rsr = n - 1 - rs; if(rh.query(ls, ls + m) == rhr.query(rsr, rsr + m)) { l = m; } else { r = m; } } DEBUG(l); // DEBUG(l * 2 + (rs - ls + 1) % 2); v += min(l * 2, rs - ls + 1); DEBUG(v); } mav[i] = v; } dpite(ALL(mav)); REP(i, q) { a[i]--; // DEBUG(a[i]); if(mav[a[i] % n] == n) { cout << min(k * n - a[i] - 1, a[i]) * 2 + 1 << endl; } else { // DEBUG(mav[a[i] % n]); cout << min((LL)mav[a[i] % n], (LL)min(k * n - a[i] - 1, a[i]) * 2 + 1) << endl; } } } return 0; }