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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#282765 | #7187. Hardcore String Counting | Ballmer Peak (Ali Safari, AmirMohammad Shahrezaei, Alireza Keshavarz) | AC ✓ | 269ms | 16268kb | C++23 | 18.5kb | 2023-12-13 00:35:28 | 2023-12-13 00:35:30 |
Judging History
answer
#define NDEBUG
#include <algorithm>
#include <cassert>
#include <cstdint>
#include <iostream>
#include <numeric>
#include <vector>
using namespace std;
template <typename mint>
struct NTT {
static constexpr uint32_t get_pr() {
uint32_t _mod = mint::get_mod();
using u64 = uint64_t;
u64 ds[32] = {};
int idx = 0;
u64 m = _mod - 1;
for (u64 i = 2; i * i <= m; ++i) {
if (m % i == 0) {
ds[idx++] = i;
while (m % i == 0) m /= i;
}
}
if (m != 1) ds[idx++] = m;
uint32_t _pr = 2;
while (1) {
int flg = 1;
for (int i = 0; i < idx; ++i) {
u64 a = _pr, b = (_mod - 1) / ds[i], r = 1;
while (b) {
if (b & 1) r = r * a % _mod;
a = a * a % _mod;
b >>= 1;
}
if (r == 1) {
flg = 0;
break;
}
}
if (flg == 1) break;
++_pr;
}
return _pr;
};
static constexpr uint32_t mod = mint::get_mod();
static constexpr uint32_t pr = get_pr();
static constexpr int level = __builtin_ctzll(mod - 1);
mint dw[level], dy[level];
void setwy(int k) {
mint w[level], y[level];
w[k - 1] = mint(pr).pow((mod - 1) / (1 << k));
y[k - 1] = w[k - 1].inverse();
for (int i = k - 2; i > 0; --i)
w[i] = w[i + 1] * w[i + 1], y[i] = y[i + 1] * y[i + 1];
dw[1] = w[1], dy[1] = y[1], dw[2] = w[2], dy[2] = y[2];
for (int i = 3; i < k; ++i) {
dw[i] = dw[i - 1] * y[i - 2] * w[i];
dy[i] = dy[i - 1] * w[i - 2] * y[i];
}
}
NTT() { setwy(level); }
void fft4(vector<mint> &a, int k) {
if ((int)a.size() <= 1) return;
if (k == 1) {
mint a1 = a[1];
a[1] = a[0] - a[1];
a[0] = a[0] + a1;
return;
}
if (k & 1) {
int v = 1 << (k - 1);
for (int j = 0; j < v; ++j) {
mint ajv = a[j + v];
a[j + v] = a[j] - ajv;
a[j] += ajv;
}
}
int u = 1 << (2 + (k & 1));
int v = 1 << (k - 2 - (k & 1));
mint one = mint(1);
mint imag = dw[1];
while (v) {
// jh = 0
{
int j0 = 0;
int j1 = v;
int j2 = j1 + v;
int j3 = j2 + v;
for (; j0 < v; ++j0, ++j1, ++j2, ++j3) {
mint t0 = a[j0], t1 = a[j1], t2 = a[j2], t3 = a[j3];
mint t0p2 = t0 + t2, t1p3 = t1 + t3;
mint t0m2 = t0 - t2, t1m3 = (t1 - t3) * imag;
a[j0] = t0p2 + t1p3, a[j1] = t0p2 - t1p3;
a[j2] = t0m2 + t1m3, a[j3] = t0m2 - t1m3;
}
}
// jh >= 1
mint ww = one, xx = one * dw[2], wx = one;
for (int jh = 4; jh < u;) {
ww = xx * xx, wx = ww * xx;
int j0 = jh * v;
int je = j0 + v;
int j2 = je + v;
for (; j0 < je; ++j0, ++j2) {
mint t0 = a[j0], t1 = a[j0 + v] * xx, t2 = a[j2] * ww,
t3 = a[j2 + v] * wx;
mint t0p2 = t0 + t2, t1p3 = t1 + t3;
mint t0m2 = t0 - t2, t1m3 = (t1 - t3) * imag;
a[j0] = t0p2 + t1p3, a[j0 + v] = t0p2 - t1p3;
a[j2] = t0m2 + t1m3, a[j2 + v] = t0m2 - t1m3;
}
xx *= dw[__builtin_ctzll((jh += 4))];
}
u <<= 2;
v >>= 2;
}
}
void ifft4(vector<mint> &a, int k) {
if ((int)a.size() <= 1) return;
if (k == 1) {
mint a1 = a[1];
a[1] = a[0] - a[1];
a[0] = a[0] + a1;
return;
}
int u = 1 << (k - 2);
int v = 1;
mint one = mint(1);
mint imag = dy[1];
while (u) {
// jh = 0
{
int j0 = 0;
int j1 = v;
int j2 = v + v;
int j3 = j2 + v;
for (; j0 < v; ++j0, ++j1, ++j2, ++j3) {
mint t0 = a[j0], t1 = a[j1], t2 = a[j2], t3 = a[j3];
mint t0p1 = t0 + t1, t2p3 = t2 + t3;
mint t0m1 = t0 - t1, t2m3 = (t2 - t3) * imag;
a[j0] = t0p1 + t2p3, a[j2] = t0p1 - t2p3;
a[j1] = t0m1 + t2m3, a[j3] = t0m1 - t2m3;
}
}
// jh >= 1
mint ww = one, xx = one * dy[2], yy = one;
u <<= 2;
for (int jh = 4; jh < u;) {
ww = xx * xx, yy = xx * imag;
int j0 = jh * v;
int je = j0 + v;
int j2 = je + v;
for (; j0 < je; ++j0, ++j2) {
mint t0 = a[j0], t1 = a[j0 + v], t2 = a[j2], t3 = a[j2 + v];
mint t0p1 = t0 + t1, t2p3 = t2 + t3;
mint t0m1 = (t0 - t1) * xx, t2m3 = (t2 - t3) * yy;
a[j0] = t0p1 + t2p3, a[j2] = (t0p1 - t2p3) * ww;
a[j0 + v] = t0m1 + t2m3, a[j2 + v] = (t0m1 - t2m3) * ww;
}
xx *= dy[__builtin_ctzll(jh += 4)];
}
u >>= 4;
v <<= 2;
}
if (k & 1) {
u = 1 << (k - 1);
for (int j = 0; j < u; ++j) {
mint ajv = a[j] - a[j + u];
a[j] += a[j + u];
a[j + u] = ajv;
}
}
}
void ntt(vector<mint> &a) {
if ((int)a.size() <= 1) return;
fft4(a, __builtin_ctz(a.size()));
}
void intt(vector<mint> &a) {
if ((int)a.size() <= 1) return;
ifft4(a, __builtin_ctz(a.size()));
mint iv = mint(a.size()).inverse();
for (auto &x : a) x *= iv;
}
vector<mint> multiply(const vector<mint> &a, const vector<mint> &b) {
int l = a.size() + b.size() - 1;
if (min<int>(a.size(), b.size()) <= 40) {
vector<mint> s(l);
for (int i = 0; i < (int)a.size(); ++i)
for (int j = 0; j < (int)b.size(); ++j) s[i + j] += a[i] * b[j];
return s;
}
int k = 2, M = 4;
while (M < l) M <<= 1, ++k;
setwy(k);
vector<mint> s(M), t(M);
for (int i = 0; i < (int)a.size(); ++i) s[i] = a[i];
for (int i = 0; i < (int)b.size(); ++i) t[i] = b[i];
fft4(s, k);
fft4(t, k);
for (int i = 0; i < M; ++i) s[i] *= t[i];
ifft4(s, k);
s.resize(l);
mint invm = mint(M).inverse();
for (int i = 0; i < l; ++i) s[i] *= invm;
return s;
}
void ntt_doubling(vector<mint> &a) {
int M = (int)a.size();
auto b = a;
intt(b);
mint r = 1, zeta = mint(pr).pow((mint::get_mod() - 1) / (M << 1));
for (int i = 0; i < M; i++) b[i] *= r, r *= zeta;
ntt(b);
copy(begin(b), end(b), back_inserter(a));
}
};
//
template <typename mint>
struct FormalPowerSeries : vector<mint> {
using vector<mint>::vector;
using FPS = FormalPowerSeries;
FPS &operator+=(const FPS &r) {
if (r.size() > this->size()) this->resize(r.size());
for (int i = 0; i < (int)r.size(); i++) (*this)[i] += r[i];
return *this;
}
FPS &operator+=(const mint &r) {
if (this->empty()) this->resize(1);
(*this)[0] += r;
return *this;
}
FPS &operator-=(const FPS &r) {
if (r.size() > this->size()) this->resize(r.size());
for (int i = 0; i < (int)r.size(); i++) (*this)[i] -= r[i];
return *this;
}
FPS &operator-=(const mint &r) {
if (this->empty()) this->resize(1);
(*this)[0] -= r;
return *this;
}
FPS &operator*=(const mint &v) {
for (int k = 0; k < (int)this->size(); k++) (*this)[k] *= v;
return *this;
}
FPS &operator/=(const FPS &r) {
if (this->size() < r.size()) {
this->clear();
return *this;
}
int n = this->size() - r.size() + 1;
if ((int)r.size() <= 64) {
FPS f(*this), g(r);
g.shrink();
mint coeff = g.back().inverse();
for (auto &x : g) x *= coeff;
int deg = (int)f.size() - (int)g.size() + 1;
int gs = g.size();
FPS quo(deg);
for (int i = deg - 1; i >= 0; i--) {
quo[i] = f[i + gs - 1];
for (int j = 0; j < gs; j++) f[i + j] -= quo[i] * g[j];
}
*this = quo * coeff;
this->resize(n, mint(0));
return *this;
}
return *this = ((*this).rev().pre(n) * r.rev().inv(n)).pre(n).rev();
}
FPS &operator%=(const FPS &r) {
*this -= *this / r * r;
shrink();
return *this;
}
FPS operator+(const FPS &r) const { return FPS(*this) += r; }
FPS operator+(const mint &v) const { return FPS(*this) += v; }
FPS operator-(const FPS &r) const { return FPS(*this) -= r; }
FPS operator-(const mint &v) const { return FPS(*this) -= v; }
FPS operator*(const FPS &r) const { return FPS(*this) *= r; }
FPS operator*(const mint &v) const { return FPS(*this) *= v; }
FPS operator/(const FPS &r) const { return FPS(*this) /= r; }
FPS operator%(const FPS &r) const { return FPS(*this) %= r; }
FPS operator-() const {
FPS ret(this->size());
for (int i = 0; i < (int)this->size(); i++) ret[i] = -(*this)[i];
return ret;
}
void shrink() {
while (this->size() && this->back() == mint(0)) this->pop_back();
}
FPS rev() const {
FPS ret(*this);
reverse(begin(ret), end(ret));
return ret;
}
FPS dot(FPS r) const {
FPS ret(min(this->size(), r.size()));
for (int i = 0; i < (int)ret.size(); i++) ret[i] = (*this)[i] * r[i];
return ret;
}
FPS pre(int sz) const {
return FPS(begin(*this), begin(*this) + min((int)this->size(), sz));
}
FPS operator>>(int sz) const {
if ((int)this->size() <= sz) return {};
FPS ret(*this);
ret.erase(ret.begin(), ret.begin() + sz);
return ret;
}
FPS operator<<(int sz) const {
FPS ret(*this);
ret.insert(ret.begin(), sz, mint(0));
return ret;
}
FPS diff() const {
const int n = (int)this->size();
FPS ret(max(0, n - 1));
mint one(1), coeff(1);
for (int i = 1; i < n; i++) {
ret[i - 1] = (*this)[i] * coeff;
coeff += one;
}
return ret;
}
FPS integral() const {
const int n = (int)this->size();
FPS ret(n + 1);
ret[0] = mint(0);
if (n > 0) ret[1] = mint(1);
auto mod = mint::get_mod();
for (int i = 2; i <= n; i++) ret[i] = (-ret[mod % i]) * (mod / i);
for (int i = 0; i < n; i++) ret[i + 1] *= (*this)[i];
return ret;
}
mint eval(mint x) const {
mint r = 0, w = 1;
for (auto &v : *this) r += w * v, w *= x;
return r;
}
FPS log(int deg = -1) const {
assert((*this)[0] == mint(1));
if (deg == -1) deg = (int)this->size();
return (this->diff() * this->inv(deg)).pre(deg - 1).integral();
}
FPS pow(int64_t k, int deg = -1) const {
const int n = (int)this->size();
if (deg == -1) deg = n;
for (int i = 0; i < n; i++) {
if ((*this)[i] != mint(0)) {
if (i * k > deg) return FPS(deg, mint(0));
mint rev = mint(1) / (*this)[i];
FPS ret = (((*this * rev) >> i).log() * k).exp() * ((*this)[i].pow(k));
ret = (ret << (i * k)).pre(deg);
if ((int)ret.size() < deg) ret.resize(deg, mint(0));
return ret;
}
}
return FPS(deg, mint(0));
}
static void *ntt_ptr;
static void set_fft();
FPS &operator*=(const FPS &r);
void ntt();
void intt();
void ntt_doubling();
static int ntt_pr();
FPS inv(int deg = -1) const;
FPS exp(int deg = -1) const;
};
template <typename mint>
void *FormalPowerSeries<mint>::ntt_ptr = nullptr;
/**
* @brief 多項式/形式的冪級数ライブラリ
* @docs docs/fps/formal-power-series.md
*/
//
template <typename mint>
void FormalPowerSeries<mint>::set_fft() {
if (!ntt_ptr) ntt_ptr = new NTT<mint>;
}
template <typename mint>
FormalPowerSeries<mint> &FormalPowerSeries<mint>::operator*=(
const FormalPowerSeries<mint> &r) {
if (this->empty() || r.empty()) {
this->clear();
return *this;
}
set_fft();
auto ret = static_cast<NTT<mint> *>(ntt_ptr)->multiply(*this, r);
return *this = FormalPowerSeries<mint>(ret.begin(), ret.end());
}
template <typename mint>
void FormalPowerSeries<mint>::ntt() {
set_fft();
static_cast<NTT<mint> *>(ntt_ptr)->ntt(*this);
}
template <typename mint>
void FormalPowerSeries<mint>::intt() {
set_fft();
static_cast<NTT<mint> *>(ntt_ptr)->intt(*this);
}
template <typename mint>
void FormalPowerSeries<mint>::ntt_doubling() {
set_fft();
static_cast<NTT<mint> *>(ntt_ptr)->ntt_doubling(*this);
}
template <typename mint>
int FormalPowerSeries<mint>::ntt_pr() {
set_fft();
return static_cast<NTT<mint> *>(ntt_ptr)->pr;
}
template <typename mint>
FormalPowerSeries<mint> FormalPowerSeries<mint>::inv(int deg) const {
assert((*this)[0] != mint(0));
if (deg == -1) deg = (int)this->size();
FormalPowerSeries<mint> res(deg);
res[0] = {mint(1) / (*this)[0]};
for (int d = 1; d < deg; d <<= 1) {
FormalPowerSeries<mint> f(2 * d), g(2 * d);
for (int j = 0; j < min((int)this->size(), 2 * d); j++) f[j] = (*this)[j];
for (int j = 0; j < d; j++) g[j] = res[j];
f.ntt();
g.ntt();
for (int j = 0; j < 2 * d; j++) f[j] *= g[j];
f.intt();
for (int j = 0; j < d; j++) f[j] = 0;
f.ntt();
for (int j = 0; j < 2 * d; j++) f[j] *= g[j];
f.intt();
for (int j = d; j < min(2 * d, deg); j++) res[j] = -f[j];
}
return res.pre(deg);
}
template <typename mint>
mint LinearRecursionFormula(long long k, FormalPowerSeries<mint> Q,
FormalPowerSeries<mint> P) {
Q.shrink();
mint ret = 0;
if (P.size() >= Q.size()) {
auto R = P / Q;
P -= R * Q;
P.shrink();
if (k < (int)R.size()) ret += R[k];
}
if ((int)P.size() == 0) return ret;
FormalPowerSeries<mint>::set_fft();
if (FormalPowerSeries<mint>::ntt_ptr == nullptr) {
P.resize((int)Q.size() - 1);
while (k) {
auto Q2 = Q;
for (int i = 1; i < (int)Q2.size(); i += 2) Q2[i] = -Q2[i];
auto S = P * Q2;
auto T = Q * Q2;
if (k & 1) {
for (int i = 1; i < (int)S.size(); i += 2) P[i >> 1] = S[i];
for (int i = 0; i < (int)T.size(); i += 2) Q[i >> 1] = T[i];
} else {
for (int i = 0; i < (int)S.size(); i += 2) P[i >> 1] = S[i];
for (int i = 0; i < (int)T.size(); i += 2) Q[i >> 1] = T[i];
}
k >>= 1;
}
return ret + P[0];
} else {
int N = 1;
while (N < (int)Q.size()) N <<= 1;
P.resize(2 * N);
Q.resize(2 * N);
P.ntt();
Q.ntt();
vector<mint> S(2 * N), T(2 * N);
vector<int> btr(N);
for (int i = 0, logn = __builtin_ctz(N); i < (1 << logn); i++) {
btr[i] = (btr[i >> 1] >> 1) + ((i & 1) << (logn - 1));
}
mint dw = mint(FormalPowerSeries<mint>::ntt_pr())
.inverse()
.pow((mint::get_mod() - 1) / (2 * N));
while (k) {
mint inv2 = mint(2).inverse();
// even degree of Q(x)Q(-x)
T.resize(N);
for (int i = 0; i < N; i++) T[i] = Q[(i << 1) | 0] * Q[(i << 1) | 1];
S.resize(N);
if (k & 1) {
// odd degree of P(x)Q(-x)
for (auto &i : btr) {
S[i] = (P[(i << 1) | 0] * Q[(i << 1) | 1] -
P[(i << 1) | 1] * Q[(i << 1) | 0]) *
inv2;
inv2 *= dw;
}
} else {
// even degree of P(x)Q(-x)
for (int i = 0; i < N; i++) {
S[i] = (P[(i << 1) | 0] * Q[(i << 1) | 1] +
P[(i << 1) | 1] * Q[(i << 1) | 0]) *
inv2;
}
}
swap(P, S);
swap(Q, T);
k >>= 1;
if (k < N) break;
P.ntt_doubling();
Q.ntt_doubling();
}
P.intt();
Q.intt();
return ret + (P * (Q.inv()))[k];
}
}
template <typename mint>
mint kitamasa(long long N, FormalPowerSeries<mint> Q,
FormalPowerSeries<mint> a) {
assert(!Q.empty() && Q[0] != 0);
if (N < (int)a.size()) return a[N];
assert((int)a.size() >= int(Q.size()) - 1);
auto P = a.pre((int)Q.size() - 1) * Q;
P.resize(Q.size() - 1);
return LinearRecursionFormula<mint>(N, Q, P);
}
/**
* @brief 線形漸化式の高速計算
* @docs docs/fps/kitamasa.md
*/
template <uint32_t mod>
struct LazyMontgomeryModInt {
using mint = LazyMontgomeryModInt;
using i32 = int32_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 ret = mod;
for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
return ret;
}
static constexpr u32 r = get_r();
static constexpr u32 n2 = -u64(mod) % mod;
static_assert(r * mod == 1, "invalid, r * mod != 1");
static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");
u32 a;
constexpr LazyMontgomeryModInt() : a(0) {}
constexpr LazyMontgomeryModInt(const int64_t &b)
: a(reduce(u64(b % mod + mod) * n2)){};
static constexpr u32 reduce(const u64 &b) {
return (b + u64(u32(b) * u32(-r)) * mod) >> 32;
}
constexpr mint &operator+=(const mint &b) {
if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
return *this;
}
constexpr mint &operator-=(const mint &b) {
if (i32(a -= b.a) < 0) a += 2 * mod;
return *this;
}
constexpr mint &operator*=(const mint &b) {
a = reduce(u64(a) * b.a);
return *this;
}
constexpr mint &operator/=(const mint &b) {
*this *= b.inverse();
return *this;
}
constexpr mint operator+(const mint &b) const { return mint(*this) += b; }
constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }
constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }
constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }
constexpr bool operator==(const mint &b) const {
return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
}
constexpr bool operator!=(const mint &b) const {
return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
}
constexpr mint operator-() const { return mint() - mint(*this); }
constexpr mint pow(u64 n) const {
mint ret(1), mul(*this);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
constexpr mint inverse() const { return pow(mod - 2); }
friend ostream &operator<<(ostream &os, const mint &b) {
return os << b.get();
}
friend istream &operator>>(istream &is, mint &b) {
int64_t t;
is >> t;
b = LazyMontgomeryModInt<mod>(t);
return (is);
}
constexpr u32 get() const {
u32 ret = reduce(a);
return ret >= mod ? ret - mod : ret;
}
static constexpr u32 get_mod() { return mod; }
};
const int xn = 1e5 + 10;
int n, m, kmp[xn], z[xn];
int dp[xn];
string s;
int main() {
using mint = LazyMontgomeryModInt<998244353>;
using fps = FormalPowerSeries<mint>;
cin.tie(nullptr); ios::sync_with_stdio(false);
cin >> n >> m >> s;
for (int i = 2; i <= n; ++ i) {
kmp[i] = kmp[i - 1];
while (kmp[i] && s[kmp[i]] != s[i - 1])
kmp[i] = kmp[kmp[i]];
if (s[i - 1] == s[kmp[i]]) kmp[i] ++;
}
z[0] = 26;
z[n - 1] -= 1;
int ptr = kmp[n];
while (ptr) {
z[n - ptr] = z[n - ptr] + 26;
z[n - ptr - 1] = z[n - ptr - 1] - 1;
ptr = kmp[ptr];
}
dp[0] = 1;
for (int i = 1; i < n; ++ i) {
dp[i] = 1ll * dp[i - 1] * 26 % 998244353;
}
// if(n >= 65535) return cout << 0 << '\n', 0;
// long long N, K;
// cin >> N >> K;
fps a(n), c(n);
for (int i = 0; i < n; i++) a[i] = dp[i];
for (int i = 0; i < n; i++) c[i] = z[i];
c = fps{1} - (c << 1);
cout << kitamasa<mint>(m - 1, c, a)*26 - kitamasa<mint>(m, c, a) << endl;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3652kb
input:
6 7 aaaaaa
output:
25
result:
ok answer is '25'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
3 5 aba
output:
675
result:
ok answer is '675'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
1 1 a
output:
1
result:
ok answer is '1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
5 7 ababa
output:
675
result:
ok answer is '675'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3900kb
input:
1 3 a
output:
625
result:
ok answer is '625'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
10 536870912 njjnttnjjn
output:
826157401
result:
ok answer is '826157401'
Test #7:
score: 0
Accepted
time: 129ms
memory: 9976kb
input:
65535 536870912 aaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaeaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaeaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaeaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaraaaoaaaoaaaoaaayaaaoaaaoaaao...
output:
996824286
result:
ok answer is '996824286'
Test #8:
score: 0
Accepted
time: 258ms
memory: 15812kb
input:
99892 536870912 wwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwwawwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwwawwwwbwwwwb...
output:
718505966
result:
ok answer is '718505966'
Test #9:
score: 0
Accepted
time: 262ms
memory: 15736kb
input:
100000 536870912 rrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrnnrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrttrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrnnrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrarrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrnnrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrm...
output:
824845147
result:
ok answer is '824845147'
Test #10:
score: 0
Accepted
time: 267ms
memory: 15904kb
input:
99892 1000000000 ggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggbggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggbggggjgggg...
output:
971128221
result:
ok answer is '971128221'
Test #11:
score: 0
Accepted
time: 265ms
memory: 15720kb
input:
100000 625346716 kwfuguxrbiwlvyqsbujelgcafpsnxsgefwxqoeeiwoolreyxvaahagoibdrznebsgelthdzqwxcdglvbpawhdgaxpiyjglzhiamhtptsyyzyyhzjvnqfyqhnrtbwgeyotmltodidutmyvzfqfctnqugmrdtuyiyttgcsjeupuuygwqrzfibxhaefmbtzfhvopmtwwycopheuacgwibxlsjpupdmchvzneodwuzzteqlzlfizpleildqqpcuiechcwearxlvplatyrzxfochdfjqcmzt...
output:
0
result:
ok answer is '0'
Test #12:
score: 0
Accepted
time: 203ms
memory: 14176kb
input:
65536 35420792 pkmyknsqmhwuevibxjgrftrinkulizarxbkmgorddvuvtrhdadnlxfrxsyqhueuefdkanysaixmhbdqyskjdrzntlaqtwoscxldmyzahzwximvjgsjuddejbsbwtxgkbzfzdusucccohjwjuaasnkindxjjtxdbxmitcixrcmawdezafgnigghdtoyzazyfedzsuwsrlkdtarcmzqnszgnyiqvzamjtamvfrhzucdsfscyzdbvbxutwraktnmfrdfbejcbhjcgczgwiucklwydmuuozlu...
output:
0
result:
ok answer is '0'
Test #13:
score: 0
Accepted
time: 269ms
memory: 16268kb
input:
100000 1000000000 nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn...
output:
545362217
result:
ok answer is '545362217'
Test #14:
score: 0
Accepted
time: 254ms
memory: 16156kb
input:
100000 536870911 ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg...
output:
332737929
result:
ok answer is '332737929'
Test #15:
score: 0
Accepted
time: 262ms
memory: 15712kb
input:
100000 536870911 qodtwstdnykduvzvvvzmpawqaajvcdatuzzjisoezaqtvqhghmixvlfyhznvrlhdslyyhxoqchflfdjiefikpfrykekhjqywxpwmihiojcfzcmqelrkddbpkcnqcaopdyhldawyrvkqfbqpybewrtusifbfdtxiflxtkzdjqbocozdpupunehraytkhqnobhzeohkvbjyrdfebstqfjlvrcabimlybsnuaqgfcldvklwnyuywvfpdqwmortctexzaufmazyatybltglyonllufofiyr...
output:
592710827
result:
ok answer is '592710827'
Test #16:
score: 0
Accepted
time: 41ms
memory: 14372kb
input:
100000 100000 ciawhxojdqnivfonswbklnoocigwmkbjtkzahqgysihfdeqhialusobeeazqaqzryakqycapfswxpithldpuiflxzpgsysjwnpinfubqlyadphswzvzbrxcdbbhavtzkvwrcqecfnzawisgkvsopjnfzfnlecuesnffqzcknunwsxlrbvdzqbduypfrwgqqnrjstxgjaeuqxxajfbmidkwhrgkpjduftivfwnuugxomyznpbtbcstdkdaitvpdtuvyzipygztosvjwwdascbqthqdgkbit...
output:
1
result:
ok answer is '1'
Test #17:
score: 0
Accepted
time: 266ms
memory: 15712kb
input:
100000 1000000000 zujpixywgppdzqtwikoyhvlwqvxrfdylopuqgprrqpgqmgfkmhbucwkgdljyfzzbtaxxnltmbptwhknjjqlbeuiowdblqppqeeuunexkghdxjtbidlacmycgwvulgaeazyiwzedaxhtskacflodouylwxfjydzfbthotdwrfcpwrkcgnxpjsmkafaaojlctmqckabidgalvptziemzphncrgtqxlvllgwwgkoqxwhziuxvkadgaohdlceuggwwzmpywsgoecwwhhbotaleesjexdxg...
output:
879141501
result:
ok answer is '879141501'
Extra Test:
score: 0
Extra Test Passed