Problem p02635 (C++)

Buggy submission (status: Runtime Error):
/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author Ido Kessler
 */

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cstdint>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <unordered_map>
#include <unordered_set>
#include <vector>

#include <cmath>
#include <random>
#include <tuple>

using ll = long long int;
using ull = unsigned long long int;
using vi = std::vector<int>;
using vvi = std::vector<vi>;
using vll = std::vector<ll>;
using vvll = std::vector<vll>;
using pi = std::pair<int, int>;
using vpi = std::vector<pi>;
using vvpi = std::vector<vpi>;
using pll = std::pair<ll, ll>;
using vpll = std::vector<pll>;
using vvpll = std::vector<vpll>;
#define all(x) (x).begin(), (x).end()
#define fori(i, n) for (int i = 0; i < (int)(n); i++)
#define rep(i, s, e) for (int i = (int)(s); i <= (int)(e); ++i)
#define repr(i, s, e) for (int i = (int)(s); i >= (int)(e); --i)
#define pb push_back
template <typename T> void mk_unique(std::vector<T> &l) {
  if (!std::is_sorted(all(l)))
    std::sort(all(l));
  auto it = std::unique(l.begin(), l.end());
  auto d = std::distance(l.begin(), it);
  l.resize(d);
}
template <typename T> T &smax(T &l, const T &r) {
  if (l < r)
    l = r;
  return l;
}
template <typename T> T &smin(T &l, const T &r) {
  if (r < l)
    l = r;
  return l;
}
constexpr int MOD = 998244353; // 1000000007;
namespace io {
class input_reader {
  void throw_error() {
    throw std::runtime_error("No more inputs while reading number");
  }
  template <typename T> inline void readIntegerValue(T &f) {
    bool positive = true;
    f = 0;
    char c;
    if (!in.get(c))
      throw_error();
    while (c < '0' || c > '9') {
      if (c == '-')
        positive = false;
      if (!in.get(c))
        throw_error();
    }
    while (c >= '0' && c <= '9') {
      f = (f << 3) + (f << 1) + (c & 15);
      if (!in.get(c))
        break;
    }
    if (!positive)
      f *= -1;
  }

public:
  std::istream &in;
  explicit input_reader(std::istream &in) : in(in) {}
  inline void read(int &f) { readIntegerValue(f); }
  inline void read(short &f) { readIntegerValue(f); }
  inline void read(long int &f) { readIntegerValue(f); }
  inline void read(long long int &f) { readIntegerValue(f); }
  inline void read(unsigned int &f) { readIntegerValue(f); }
  inline void read(unsigned short &f) { readIntegerValue(f); }
  inline void read(unsigned long int &f) { readIntegerValue(f); }
  inline void read(unsigned long long int &f) { readIntegerValue(f); }
  template <typename T> inline void read(std::vector<T> &f) {
    for (auto &i : f)
      read(i);
  }
  template <typename T, int N> inline void read(std::array<T, N> &res) {
    for (auto &i : res)
      read(i);
  }
  template <typename T1, typename T2> inline void read(std::pair<T1, T2> &p) {
    read(p.first, p.second);
  }
  template <typename T> inline void read(T &f) { in >> f; }
  template <typename T, typename... Args>
  inline void read(T &t, Args &...args) {
    read(t), read(args...);
  }
  template <typename T> inline void readArray(int n, T *res) {
    while (n--)
      read(*(res++));
  }
  template <typename T> inline input_reader &operator>>(T &t) {
    return read(t), *this;
  }
};
} // namespace io
namespace io {
class output_writer {
  std::ostream &out;
  template <typename T> inline void printIntegerHelper(T x) {
    if (x >= 10)
      printIntegerHelper(x / 10);
    out.put(x % 10 + 48);
  }
  template <typename T> inline void printInteger(T x) {
    if (x < 0)
      out.put('-'), x = -x;
    printIntegerHelper(x);
  }
  template <typename T> inline void printArray(T &ar) {
    bool first = true;
    for (auto &t : ar)
      print((first) ? first = false, "" : " ", t);
  }

public:
  explicit output_writer(std::ostream &out) : out(out) {}
  inline void flush() { out.flush(); }
  inline void print() {}
  inline void print(char x) { out.put(x); }
  inline void print(short x) { printInteger(x); }
  inline void print(int x) { printInteger(x); }
  inline void print(long int x) { printInteger(x); }
  inline void print(long long int x) { printInteger(x); }
  inline void print(unsigned short x) { printInteger(x); }
  inline void print(unsigned int x) { printInteger(x); }
  inline void print(unsigned long int x) { printInteger(x); }
  inline void print(unsigned long long int x) { printInteger(x); }
  template <typename T1> inline void print(const T1 &t1) { out << t1; }
  template <typename T1, typename T2>
  inline void print(const std::pair<T1, T2> &t1) {
    println(t1.first, ' ', t1.second);
  }
  template <typename T1> inline void print(const std::vector<T1> &t1) {
    printArray(t1);
  }
  template <typename T1, int N> inline void print(const std::array<T1, N> &t1) {
    printArray(t1);
  }
  template <typename T1, int N, int M>
  inline void print(const std::array<std::array<T1, M>, N> &t1) {
    for (auto &t : t1)
      println(t);
  }
  template <typename T1>
  inline void print(const std::vector<std::vector<T1>> &t1) {
    bool first = true;
    for (auto &t : t1)
      print((first) ? first = false, "" : "\n", t);
  }
  template <typename T, typename... Args>
  inline void print(const T &t, Args... args) {
    print(t), print(args...);
  }
  template <typename... Args> inline void println(Args... args) {
    print(args...), print('\n');
  }
  template <typename T> output_writer &operator<<(const T &t) {
    return print(t), *this;
  }
};
} // namespace io
inline ll pow_mod(ll a, ll b, const ll MOD) {
  ll res = 1;
  for (ll i = 1; b; b ^= b & i, i <<= 1, a = (a * a) % MOD)
    if (b & i)
      res = (res * a) % MOD;
  return res;
}
inline ll mod_inv(const ll a, const ll MOD) { return pow_mod(a, MOD - 2, MOD); }
template <typename T> inline T gcd(T a, T b) {
  T t;
  while (a != 0)
    t = a, a = b % a, b = t;
  return b;
}
template <typename T> T lcm(const T &a, const T &b) {
  assert(a != 0 && b != 0);
  return a / gcd(a, b) * b;
}
namespace math {
template <class T> int gMOD(T v) {
  int res = (int)(v % MOD);
  if (res >= 0)
    return res;
  return res + MOD;
};
class mod_int {
  using mi = mod_int;
  int v;

public:
  mod_int(int v) : v(gMOD(v)) {}
  mod_int(unsigned int v) : v(gMOD(v)) {}
  mod_int(long long int v) : v(gMOD(v)) {}
  mod_int(unsigned long long int v) : v(gMOD(v)) {}
  mod_int(long int v) : v(gMOD(v)) {}
  mod_int(unsigned long int v) : v(gMOD(v)) {}
  mod_int() = default;
  mod_int(const mi &o) = default;
  mod_int(mi &&o) = default;
  inline mi &operator=(const mi &o) = default;
  inline mi &operator=(mi &&o) = default;
  inline mi &operator++() {
    if (v == MOD - 1)
      v = 0;
    else
      v++;
    return *this;
  }
  inline mi &operator--() {
    if (v == 0)
      v = MOD - 1;
    else
      v--;
    return *this;
  }
  inline mi operator++(int) {
    mi t = *this;
    ++(*this);
    return t;
  }
  inline mi operator--(int) {
    mi t = *this;
    --(*this);
    return t;
  }
  inline bool friend operator==(const mi &lhs, const mi &rhs) {
    return lhs.v == rhs.v;
  }
  inline bool friend operator!=(const mi &lhs, const mi &rhs) {
    return lhs.v != rhs.v;
  }
  template <typename T>
  inline bool friend operator==(const mi &lhs, const T &rhs) {
    return lhs == mi(rhs);
  }
  template <typename T>
  inline bool friend operator!=(const mi &lhs, const T &rhs) {
    return lhs != mi(rhs);
  }
  inline mi friend operator-(const mi &lhs, const mi &rhs) {
    mi res;
    res.v = lhs.v - rhs.v;
    if (res.v < 0)
      res.v += MOD;
    return res;
  }
  inline mi friend operator+(const mi &lhs, const mi &rhs) {
    mi res;
    res.v = lhs.v + rhs.v - MOD;
    if (res.v < 0)
      res.v += MOD;
    return res;
  }
  inline mi friend operator*(const mi &lhs, const mi &rhs) {
    return {((((long long int)lhs.v) * rhs.v))};
  }
  inline mi friend operator/(const mi &lhs, const mi &rhs) {
    return lhs * rhs.inv();
  }
  template <typename T>
  inline mi friend operator-(const mi &lhs, const T &rhs) {
    return lhs - mi(rhs);
  }
  template <typename T>
  inline mi friend operator+(const mi &lhs, const T &rhs) {
    return lhs + mi(rhs);
  }
  template <typename T>
  inline mi friend operator*(const mi &lhs, const T &rhs) {
    return lhs * mi(rhs);
  }
  template <typename T>
  inline mi friend operator/(const mi &lhs, const T &rhs) {
    return lhs / mi(rhs);
  }
  template <typename T> inline mi &operator-=(const T &rhs) {
    return *this = *this - rhs;
  }
  template <typename T> inline mi &operator+=(const T &rhs) {
    return *this = *this + rhs;
  }
  template <typename T> inline mi &operator*=(const T &rhs) {
    return *this = *this * rhs;
  }
  template <typename T> inline mi &operator/=(const T &rhs) {
    return *this = *this / rhs;
  }
  inline mi inv() const { return pow(MOD - 2); }
  inline mi pow(long long int pw) const {
    mi res = 1, val = *this;
    while (pw) {
      if (pw & 1)
        res *= val;
      val *= val;
      pw >>= 1;
    }
    return res;
  }
  inline operator int() const { return v; }
  inline friend std::istream &operator>>(std::istream &in, mi &rhs) {
    long long int v;
    in >> v;
    rhs = {v};
    return in;
  }
  inline friend std::ostream &operator<<(std::ostream &out, mi &rhs) {
    out << rhs.v;
    return out;
  }
};
} // namespace math
namespace math {
mod_int factorial(int n) {
  static std::vector<mod_int> mem;
  static mod_int last;
  if (mem.empty())
    last = {1}, mem.push_back(last);
  while (n >= (int)mem.size())
    mem.push_back(mem.back() * last++);
  return mem[n];
}

mod_int n_choose_k(int n, int k) {
  return factorial(n) / (factorial(k) * factorial(n - k));
}
} // namespace math
const double PI = 3.14159265358979323846264338327950288419716939937510;
std::mt19937 get_random_engine() {
  return std::mt19937(std::random_device()());
}
template <typename T = int> T myrand(T high = std::numeric_limits<T>::max()) {
  assert(high > 0);
  static std::mt19937 random_engine = get_random_engine();
  return std::uniform_int_distribution<T>(0, high - 1)(random_engine);
}
// #include "prioity_queue_with_changes/pq_with_changes.h"
// #include "points_query/point_query.hpp"
// #include "numeric/numeric.hpp"
// #include "hashes/hashes.hpp"
// #include "graphs/graphs.hpp"
// #include "geometry/geometry.hpp"
// #include "extension_operations/extensions.hpp"
// #include "ranges/ranges.hpp"
// #include "matching/unweighted_max_matching.hpp"
// #include "lists/lists.hpp"
using mi = math::mod_int;
using vmi = std::vector<mi>;
using vvmi = std::vector<std::vector<mi>>;

using namespace std;

class CShift {
  class Solver {
  public:
    io::input_reader in;
    io::output_writer out;

    Solver(std::istream &in, std::ostream &out) : in(in), out(out) {}

    void solve() {
      // <code here>
      string s;
      int k;
      in >> s >> k;
      s.pb('0');
      int number_of_1 = 0;
      for (char c : s)
        if (c == '1')
          number_of_1++;
      vi chunk_of_1;
      int n = s.size();
      for (int i = 0; i < n; i++) {
        int j = i;
        int cur = 0;
        while (j < n && s[j] == '1')
          cur++, j++;
        chunk_of_1.pb(cur);
        i = j;
      }
      n = chunk_of_1.size();
      vector<vvmi> dp(n + 1, vvmi(number_of_1 + 1, vmi(number_of_1 + 1)));
      dp[0][0][0] = 1;
      int ones_left = number_of_1;
      fori(i, n) {
        ones_left -= chunk_of_1[i];
        fori(action_used, number_of_1 + 1) {
          fori(action_paid_for, action_used + 1) {
            int cur = dp[i][action_used][action_paid_for];
            if (cur == 0)
              continue;
            fori(noo2u, chunk_of_1[i] + ones_left + 1) {
              if (noo2u < chunk_of_1[i]) {
                if (action_paid_for + chunk_of_1[i] - noo2u <= action_used) {
                  dp[i + 1][action_used]
                    [action_paid_for + chunk_of_1[i] - noo2u] += cur;
                }
              } else if (noo2u == chunk_of_1[i]) {
                dp[i + 1][action_used][action_paid_for] += cur;
              } else {
                int missing1 = noo2u - chunk_of_1[i];
                if (missing1 > ones_left)
                  break;

                int new_action = action_used + missing1;
                if (new_action > k)
                  break;
                dp[i + 1][new_action][action_paid_for] += cur;
              }
            }
          }
        }
      }
      mi ans = 0;
      fori(i, number_of_1 + 1) ans += dp.back()[i][i];
      // </code here>
      out.println(ans);
    }
  };

public:
  void solve(std::istream &in, std::ostream &out) { Solver(in, out).solve(); }
};

int main() {
  std::ios_base::sync_with_stdio(false), cin.tie(0);
  CShift solver;
  std::istream &in(std::cin);
  std::ostream &out(std::cout);
  solver.solve(in, out);
  return 0;
}


Fixed submission:
/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author Ido Kessler
 */

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cstdint>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <unordered_map>
#include <unordered_set>
#include <vector>

#include <cmath>
#include <random>
#include <tuple>

using ll = long long int;
using ull = unsigned long long int;
using vi = std::vector<int>;
using vvi = std::vector<vi>;
using vll = std::vector<ll>;
using vvll = std::vector<vll>;
using pi = std::pair<int, int>;
using vpi = std::vector<pi>;
using vvpi = std::vector<vpi>;
using pll = std::pair<ll, ll>;
using vpll = std::vector<pll>;
using vvpll = std::vector<vpll>;
#define all(x) (x).begin(), (x).end()
#define fori(i, n) for (int i = 0; i < (int)(n); i++)
#define rep(i, s, e) for (int i = (int)(s); i <= (int)(e); ++i)
#define repr(i, s, e) for (int i = (int)(s); i >= (int)(e); --i)
#define pb push_back
template <typename T> void mk_unique(std::vector<T> &l) {
  if (!std::is_sorted(all(l)))
    std::sort(all(l));
  auto it = std::unique(l.begin(), l.end());
  auto d = std::distance(l.begin(), it);
  l.resize(d);
}
template <typename T> T &smax(T &l, const T &r) {
  if (l < r)
    l = r;
  return l;
}
template <typename T> T &smin(T &l, const T &r) {
  if (r < l)
    l = r;
  return l;
}
constexpr int MOD = 998244353; // 1000000007;
namespace io {
class input_reader {
  void throw_error() {
    throw std::runtime_error("No more inputs while reading number");
  }
  template <typename T> inline void readIntegerValue(T &f) {
    bool positive = true;
    f = 0;
    char c;
    if (!in.get(c))
      throw_error();
    while (c < '0' || c > '9') {
      if (c == '-')
        positive = false;
      if (!in.get(c))
        throw_error();
    }
    while (c >= '0' && c <= '9') {
      f = (f << 3) + (f << 1) + (c & 15);
      if (!in.get(c))
        break;
    }
    if (!positive)
      f *= -1;
  }

public:
  std::istream &in;
  explicit input_reader(std::istream &in) : in(in) {}
  inline void read(int &f) { readIntegerValue(f); }
  inline void read(short &f) { readIntegerValue(f); }
  inline void read(long int &f) { readIntegerValue(f); }
  inline void read(long long int &f) { readIntegerValue(f); }
  inline void read(unsigned int &f) { readIntegerValue(f); }
  inline void read(unsigned short &f) { readIntegerValue(f); }
  inline void read(unsigned long int &f) { readIntegerValue(f); }
  inline void read(unsigned long long int &f) { readIntegerValue(f); }
  template <typename T> inline void read(std::vector<T> &f) {
    for (auto &i : f)
      read(i);
  }
  template <typename T, int N> inline void read(std::array<T, N> &res) {
    for (auto &i : res)
      read(i);
  }
  template <typename T1, typename T2> inline void read(std::pair<T1, T2> &p) {
    read(p.first, p.second);
  }
  template <typename T> inline void read(T &f) { in >> f; }
  template <typename T, typename... Args>
  inline void read(T &t, Args &...args) {
    read(t), read(args...);
  }
  template <typename T> inline void readArray(int n, T *res) {
    while (n--)
      read(*(res++));
  }
  template <typename T> inline input_reader &operator>>(T &t) {
    return read(t), *this;
  }
};
} // namespace io
namespace io {
class output_writer {
  std::ostream &out;
  template <typename T> inline void printIntegerHelper(T x) {
    if (x >= 10)
      printIntegerHelper(x / 10);
    out.put(x % 10 + 48);
  }
  template <typename T> inline void printInteger(T x) {
    if (x < 0)
      out.put('-'), x = -x;
    printIntegerHelper(x);
  }
  template <typename T> inline void printArray(T &ar) {
    bool first = true;
    for (auto &t : ar)
      print((first) ? first = false, "" : " ", t);
  }

public:
  explicit output_writer(std::ostream &out) : out(out) {}
  inline void flush() { out.flush(); }
  inline void print() {}
  inline void print(char x) { out.put(x); }
  inline void print(short x) { printInteger(x); }
  inline void print(int x) { printInteger(x); }
  inline void print(long int x) { printInteger(x); }
  inline void print(long long int x) { printInteger(x); }
  inline void print(unsigned short x) { printInteger(x); }
  inline void print(unsigned int x) { printInteger(x); }
  inline void print(unsigned long int x) { printInteger(x); }
  inline void print(unsigned long long int x) { printInteger(x); }
  template <typename T1> inline void print(const T1 &t1) { out << t1; }
  template <typename T1, typename T2>
  inline void print(const std::pair<T1, T2> &t1) {
    println(t1.first, ' ', t1.second);
  }
  template <typename T1> inline void print(const std::vector<T1> &t1) {
    printArray(t1);
  }
  template <typename T1, int N> inline void print(const std::array<T1, N> &t1) {
    printArray(t1);
  }
  template <typename T1, int N, int M>
  inline void print(const std::array<std::array<T1, M>, N> &t1) {
    for (auto &t : t1)
      println(t);
  }
  template <typename T1>
  inline void print(const std::vector<std::vector<T1>> &t1) {
    bool first = true;
    for (auto &t : t1)
      print((first) ? first = false, "" : "\n", t);
  }
  template <typename T, typename... Args>
  inline void print(const T &t, Args... args) {
    print(t), print(args...);
  }
  template <typename... Args> inline void println(Args... args) {
    print(args...), print('\n');
  }
  template <typename T> output_writer &operator<<(const T &t) {
    return print(t), *this;
  }
};
} // namespace io
inline ll pow_mod(ll a, ll b, const ll MOD) {
  ll res = 1;
  for (ll i = 1; b; b ^= b & i, i <<= 1, a = (a * a) % MOD)
    if (b & i)
      res = (res * a) % MOD;
  return res;
}
inline ll mod_inv(const ll a, const ll MOD) { return pow_mod(a, MOD - 2, MOD); }
template <typename T> inline T gcd(T a, T b) {
  T t;
  while (a != 0)
    t = a, a = b % a, b = t;
  return b;
}
template <typename T> T lcm(const T &a, const T &b) {
  assert(a != 0 && b != 0);
  return a / gcd(a, b) * b;
}
namespace math {
template <class T> int gMOD(T v) {
  int res = (int)(v % MOD);
  if (res >= 0)
    return res;
  return res + MOD;
};
class mod_int {
  using mi = mod_int;
  int v;

public:
  mod_int(int v) : v(gMOD(v)) {}
  mod_int(unsigned int v) : v(gMOD(v)) {}
  mod_int(long long int v) : v(gMOD(v)) {}
  mod_int(unsigned long long int v) : v(gMOD(v)) {}
  mod_int(long int v) : v(gMOD(v)) {}
  mod_int(unsigned long int v) : v(gMOD(v)) {}
  mod_int() = default;
  mod_int(const mi &o) = default;
  mod_int(mi &&o) = default;
  inline mi &operator=(const mi &o) = default;
  inline mi &operator=(mi &&o) = default;
  inline mi &operator++() {
    if (v == MOD - 1)
      v = 0;
    else
      v++;
    return *this;
  }
  inline mi &operator--() {
    if (v == 0)
      v = MOD - 1;
    else
      v--;
    return *this;
  }
  inline mi operator++(int) {
    mi t = *this;
    ++(*this);
    return t;
  }
  inline mi operator--(int) {
    mi t = *this;
    --(*this);
    return t;
  }
  inline bool friend operator==(const mi &lhs, const mi &rhs) {
    return lhs.v == rhs.v;
  }
  inline bool friend operator!=(const mi &lhs, const mi &rhs) {
    return lhs.v != rhs.v;
  }
  template <typename T>
  inline bool friend operator==(const mi &lhs, const T &rhs) {
    return lhs == mi(rhs);
  }
  template <typename T>
  inline bool friend operator!=(const mi &lhs, const T &rhs) {
    return lhs != mi(rhs);
  }
  inline mi friend operator-(const mi &lhs, const mi &rhs) {
    mi res;
    res.v = lhs.v - rhs.v;
    if (res.v < 0)
      res.v += MOD;
    return res;
  }
  inline mi friend operator+(const mi &lhs, const mi &rhs) {
    mi res;
    res.v = lhs.v + rhs.v - MOD;
    if (res.v < 0)
      res.v += MOD;
    return res;
  }
  inline mi friend operator*(const mi &lhs, const mi &rhs) {
    return {((((long long int)lhs.v) * rhs.v))};
  }
  inline mi friend operator/(const mi &lhs, const mi &rhs) {
    return lhs * rhs.inv();
  }
  template <typename T>
  inline mi friend operator-(const mi &lhs, const T &rhs) {
    return lhs - mi(rhs);
  }
  template <typename T>
  inline mi friend operator+(const mi &lhs, const T &rhs) {
    return lhs + mi(rhs);
  }
  template <typename T>
  inline mi friend operator*(const mi &lhs, const T &rhs) {
    return lhs * mi(rhs);
  }
  template <typename T>
  inline mi friend operator/(const mi &lhs, const T &rhs) {
    return lhs / mi(rhs);
  }
  template <typename T> inline mi &operator-=(const T &rhs) {
    return *this = *this - rhs;
  }
  template <typename T> inline mi &operator+=(const T &rhs) {
    return *this = *this + rhs;
  }
  template <typename T> inline mi &operator*=(const T &rhs) {
    return *this = *this * rhs;
  }
  template <typename T> inline mi &operator/=(const T &rhs) {
    return *this = *this / rhs;
  }
  inline mi inv() const { return pow(MOD - 2); }
  inline mi pow(long long int pw) const {
    mi res = 1, val = *this;
    while (pw) {
      if (pw & 1)
        res *= val;
      val *= val;
      pw >>= 1;
    }
    return res;
  }
  inline operator int() const { return v; }
  inline friend std::istream &operator>>(std::istream &in, mi &rhs) {
    long long int v;
    in >> v;
    rhs = {v};
    return in;
  }
  inline friend std::ostream &operator<<(std::ostream &out, mi &rhs) {
    out << rhs.v;
    return out;
  }
};
} // namespace math
namespace math {
mod_int factorial(int n) {
  static std::vector<mod_int> mem;
  static mod_int last;
  if (mem.empty())
    last = {1}, mem.push_back(last);
  while (n >= (int)mem.size())
    mem.push_back(mem.back() * last++);
  return mem[n];
}

mod_int n_choose_k(int n, int k) {
  return factorial(n) / (factorial(k) * factorial(n - k));
}
} // namespace math
const double PI = 3.14159265358979323846264338327950288419716939937510;
std::mt19937 get_random_engine() {
  return std::mt19937(std::random_device()());
}
template <typename T = int> T myrand(T high = std::numeric_limits<T>::max()) {
  assert(high > 0);
  static std::mt19937 random_engine = get_random_engine();
  return std::uniform_int_distribution<T>(0, high - 1)(random_engine);
}
// #include "prioity_queue_with_changes/pq_with_changes.h"
// #include "points_query/point_query.hpp"
// #include "numeric/numeric.hpp"
// #include "hashes/hashes.hpp"
// #include "graphs/graphs.hpp"
// #include "geometry/geometry.hpp"
// #include "extension_operations/extensions.hpp"
// #include "ranges/ranges.hpp"
// #include "matching/unweighted_max_matching.hpp"
// #include "lists/lists.hpp"
using mi = math::mod_int;
using vmi = std::vector<mi>;
using vvmi = std::vector<std::vector<mi>>;

using namespace std;

class CShift {
  class Solver {
  public:
    io::input_reader in;
    io::output_writer out;

    Solver(std::istream &in, std::ostream &out) : in(in), out(out) {}

    void solve() {
      // <code here>
      string s;
      int k;
      in >> s >> k;
      s.pb('0');
      int number_of_1 = 0;
      for (char c : s)
        if (c == '1')
          number_of_1++;
      vi chunk_of_1;
      int n = s.size();
      for (int i = 0; i < n; i++) {
        int j = i;
        int cur = 0;
        while (j < n && s[j] == '1')
          cur++, j++;
        chunk_of_1.pb(cur);
        i = j;
      }
      n = chunk_of_1.size();
      vector<vvmi> dp(n + 1, vvmi(number_of_1 + 1, vmi(number_of_1 + 1)));
      dp[0][0][0] = 1;
      int ones_left = number_of_1;
      fori(i, n) {
        ones_left -= chunk_of_1[i];
        fori(action_used, number_of_1 + 1) {
          fori(action_paid_for, action_used + 1) {
            int cur = dp[i][action_used][action_paid_for];
            if (cur == 0)
              continue;
            fori(noo2u, chunk_of_1[i] + ones_left + 1) {
              if (noo2u < chunk_of_1[i]) {
                if (action_paid_for + chunk_of_1[i] - noo2u <= action_used) {
                  dp[i + 1][action_used]
                    [action_paid_for + chunk_of_1[i] - noo2u] += cur;
                }
              } else if (noo2u == chunk_of_1[i]) {
                dp[i + 1][action_used][action_paid_for] += cur;
              } else {
                int missing1 = noo2u - chunk_of_1[i];
                if (missing1 > ones_left)
                  break;

                int new_action = action_used + missing1;
                if (new_action > k || new_action > number_of_1)
                  break;
                dp[i + 1][new_action][action_paid_for] += cur;
              }
            }
          }
        }
      }
      mi ans = 0;
      fori(i, number_of_1 + 1) ans += dp.back()[i][i];
      // </code here>
      out.println(ans);
    }
  };

public:
  void solve(std::istream &in, std::ostream &out) { Solver(in, out).solve(); }
};

int main() {
  std::ios_base::sync_with_stdio(false), cin.tie(0);
  CShift solver;
  std::istream &in(std::cin);
  std::ostream &out(std::cout);
  solver.solve(in, out);
  return 0;
}