Problem p02974 (C++)

Buggy submission (status: Runtime Error):
#include <bits/stdc++.h>
using namespace std;

using VS = vector<string>;
using LL = long long;
using VI = vector<int>;
using VVI = vector<VI>;
using PII = pair<int, int>;
using PLL = pair<LL, LL>;
using VL = vector<LL>;
using VVL = vector<VL>;

#define ALL(a) begin((a)), end((a))
#define RALL(a) (a).rbegin(), (a).rend()
#define SZ(a) int((a).size())
#define SORT(c) sort(ALL((c)))
#define RSORT(c) sort(RALL((c)))
#define UNIQ(c) (c).erase(unique(ALL((c))), end((c)))
#define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++)
#define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--)
// #pragma GCC optimize ("-O3")
#ifdef YANG33
#include "mydebug.hpp"
#else
#define DD(x)
#endif
const int INF = 1e9;
const LL LINF = 1e16;
const LL MOD = 1000000007;
const double PI = acos(-1.0);

/* -----  2019/07/20  Problem: ABC 134 F / Link:
 * http://abc134.contest.atcoder.jp/tasks/abc134_f  ----- */

int test(int n, int k) {
  vector<int> p(n);
  iota(p.begin(), p.end(), 1);
  int ans = 0;
  do {
    int sum = 0;
    FOR(i, 0, n) { sum += abs((i + 1) - p[i]); }
    ans += sum == k;
  } while (next_permutation(p.begin(), p.end()));
  return ans;
}

void maintest() {
  int n;
  while (cin >> n, n) {
    FOR(k, 0, n * n + 1) { cout << test(n, k) << ", "; }
    cout << endl;
    cout << "---" << endl;
  }
}

LL str_mod(const string &s, LL mod) {
  LL res = 0;
  for (auto c : s) {
    res *= 10;
    res += (c - '0');
    res %= mod;
  }
  return res;
}

void cap() {
  string i, n;
  vector<vector<LL>> x(51);
  int id = -1;
  while (cin >> i >> n) {
    if (n == "1") {
      id++;
    }
    if (id <= 50)
      x[id].push_back(str_mod(n, LL(1e9 + 7)));
  }
  cout << "map<PII,int>m={";
  FOR(y, 1, 8) {
    int cnt = 0;
    for (auto it : x[y]) {
      cout << "{{" << y << "," << cnt * 2 << "},";
      cout << "" << it << "},";
      cnt++;
    }
  }
  cout << "};";
}
// map<PII, int>m = {
// 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// };

void solve_umekomi() {
  map<PII, int> m;
  int n, k;
  cin >> n >> k;
  if (k % 2 == 1)
    cout << 0 << endl;
  else {
    cout << m[PII(n, k)] << endl;
  }
}
template <std::uint_least32_t MODULO> class modint {
public:
  using uint32 = std::uint_least32_t;
  using uint64 = std::uint_least64_t;
  using iint64 = std::int_fast64_t;
  class optimize_tag_t {};
  static constexpr optimize_tag_t optimize_tag{};

public:
  using value_type = uint32;
  value_type a;
  static constexpr value_type cst(iint64 x) noexcept {
    x %= static_cast<iint64>(MODULO);
    if (x < static_cast<iint64>(0)) {
      x += static_cast<iint64>(MODULO);
    }
    return static_cast<value_type>(x);
  }
  constexpr modint(optimize_tag_t, const value_type &x) noexcept : a(x) {}
  constexpr modint() noexcept : a(static_cast<value_type>(0)) {}
  constexpr modint(const iint64 &x) noexcept : a(cst(x)) {}
  constexpr modint operator+(const modint &o) const noexcept {
    return modint(optimize_tag, a + o.a < MODULO ? a + o.a : a + o.a - MODULO);
  }
  constexpr modint operator-(const modint &o) const noexcept {
    return modint(optimize_tag, a < o.a ? a + MODULO - o.a : a - o.a);
  }
  constexpr modint operator*(const modint &o) const noexcept {
    return modint(optimize_tag,
                  static_cast<value_type>(static_cast<uint64>(a) *
                                          static_cast<uint64>(o.a) %
                                          static_cast<uint64>(MODULO)));
  }
  constexpr modint operator/(const modint &o) const {
    return modint(optimize_tag,
                  static_cast<value_type>(static_cast<uint64>(a) *
                                          static_cast<uint64>((~o).a) %
                                          static_cast<uint64>(MODULO)));
  }
  modint &operator+=(const modint &o) noexcept {
    if ((a += o.a) >= MODULO)
      a -= MODULO;
    return *this;
  }
  modint &operator-=(const modint &o) noexcept {
    if (a < o.a)
      a += MODULO;
    a -= o.a;
    return *this;
  }
  modint &operator*=(const modint &o) noexcept {
    a = static_cast<value_type>(static_cast<uint64>(a) *
                                static_cast<uint64>(o.a) %
                                static_cast<uint64>(MODULO));
    return *this;
  }
  modint &operator/=(const modint &o) {
    a = static_cast<uint64>(a) * (~o).a % MODULO;
    return *this;
  }
  constexpr modint inverse() const noexcept {
    assert(a != static_cast<value_type>(0) && "0 does not have inverse");
    return pow(static_cast<uint64>(MODULO - static_cast<value_type>(2)));
  }
  constexpr modint operator~() const noexcept { return inverse(); }
  constexpr modint operator-() const noexcept {
    if (a == static_cast<value_type>(0)) {
      return modint(optimize_tag, static_cast<value_type>(0));
    } else {
      return modint(optimize_tag, MODULO - a);
    }
  }
  modint &operator++() noexcept {
    if (++a == MODULO) {
      a = static_cast<value_type>(0);
    }
    return *this;
  }
  modint &operator--() noexcept {
    if (a == static_cast<value_type>(0)) {
      a = MODULO;
    }
    --a;
    return *this;
  }
  constexpr bool operator==(const modint &o) const noexcept { return a == o.a; }
  constexpr bool operator!=(const modint &o) const noexcept { return a != o.a; }
  constexpr bool operator<(const modint &o) const noexcept { return a < o.a; }
  constexpr bool operator<=(const modint &o) const noexcept { return a <= o.a; }
  constexpr bool operator>(const modint &o) const noexcept { return a > o.a; }
  constexpr bool operator>=(const modint &o) const noexcept { return a >= o.a; }
  constexpr explicit operator bool() const noexcept { return a; }
  constexpr explicit operator value_type() const noexcept { return a; }
  modint pow(iint64 inx) const noexcept {
    if (inx < 0)
      assert(a != static_cast<value_type>(0) && "not pow index < 0");
    uint64 x = inx;
    uint64 t = a, u = 1;
    while (x) {
      if (x & 1)
        u = u * t % MODULO;
      t = (t * t) % MODULO;
      x >>= 1;
    }
    return modint(optimize_tag, static_cast<value_type>(u));
  }
  constexpr value_type get() const noexcept { return a; }
};
using mint = modint<MOD>;

mint dp[51][51][2503];
void solve_dp() {
  LL N, score;
  cin >> N >> score;
  dp[0][0][0] = 1;
  // (i,j left, score sum)
  FOR(i, 0, N) {
    FOR(j, 0, i + 1) {
      FOR(k, 0, score + 1) {
        { // o---o
          int nj = j;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k];
        }
        { // o...o
          int nj = j + 1;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k];
        }
        { // o/...o
          int nj = j;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k] * (2 * j);
        }
        if (j) { // o/..\o
          int nj = j - 1;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k] * (j * j);
        }
      }
    }
  }
  mint ans = dp[N][0][score];
  cout << ans.get() << "\n";
}
int main() {
  cin.tie(0);
  ios_base::sync_with_stdio(false);

  // maintest();
  // cap();
  // return 0;
  // solve_umekomi();
  solve_dp();

  return 0;
}


Fixed submission:
#include <bits/stdc++.h>
using namespace std;

using VS = vector<string>;
using LL = long long;
using VI = vector<int>;
using VVI = vector<VI>;
using PII = pair<int, int>;
using PLL = pair<LL, LL>;
using VL = vector<LL>;
using VVL = vector<VL>;

#define ALL(a) begin((a)), end((a))
#define RALL(a) (a).rbegin(), (a).rend()
#define SZ(a) int((a).size())
#define SORT(c) sort(ALL((c)))
#define RSORT(c) sort(RALL((c)))
#define UNIQ(c) (c).erase(unique(ALL((c))), end((c)))
#define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++)
#define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--)
// #pragma GCC optimize ("-O3")
#ifdef YANG33
#include "mydebug.hpp"
#else
#define DD(x)
#endif
const int INF = 1e9;
const LL LINF = 1e16;
const LL MOD = 1000000007;
const double PI = acos(-1.0);

/* -----  2019/07/20  Problem: ABC 134 F / Link:
 * http://abc134.contest.atcoder.jp/tasks/abc134_f  ----- */

int test(int n, int k) {
  vector<int> p(n);
  iota(p.begin(), p.end(), 1);
  int ans = 0;
  do {
    int sum = 0;
    FOR(i, 0, n) { sum += abs((i + 1) - p[i]); }
    ans += sum == k;
  } while (next_permutation(p.begin(), p.end()));
  return ans;
}

void maintest() {
  int n;
  while (cin >> n, n) {
    FOR(k, 0, n * n + 1) { cout << test(n, k) << ", "; }
    cout << endl;
    cout << "---" << endl;
  }
}

LL str_mod(const string &s, LL mod) {
  LL res = 0;
  for (auto c : s) {
    res *= 10;
    res += (c - '0');
    res %= mod;
  }
  return res;
}

void cap() {
  string i, n;
  vector<vector<LL>> x(51);
  int id = -1;
  while (cin >> i >> n) {
    if (n == "1") {
      id++;
    }
    if (id <= 50)
      x[id].push_back(str_mod(n, LL(1e9 + 7)));
  }
  cout << "map<PII,int>m={";
  FOR(y, 1, 8) {
    int cnt = 0;
    for (auto it : x[y]) {
      cout << "{{" << y << "," << cnt * 2 << "},";
      cout << "" << it << "},";
      cnt++;
    }
  }
  cout << "};";
}
// map<PII, int>m = {
// 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// };

void solve_umekomi() {
  map<PII, int> m;
  int n, k;
  cin >> n >> k;
  if (k % 2 == 1)
    cout << 0 << endl;
  else {
    cout << m[PII(n, k)] << endl;
  }
}
template <std::uint_least32_t MODULO> class modint {
public:
  using uint32 = std::uint_least32_t;
  using uint64 = std::uint_least64_t;
  using iint64 = std::int_fast64_t;
  class optimize_tag_t {};
  static constexpr optimize_tag_t optimize_tag{};

public:
  using value_type = uint32;
  value_type a;
  static constexpr value_type cst(iint64 x) noexcept {
    x %= static_cast<iint64>(MODULO);
    if (x < static_cast<iint64>(0)) {
      x += static_cast<iint64>(MODULO);
    }
    return static_cast<value_type>(x);
  }
  constexpr modint(optimize_tag_t, const value_type &x) noexcept : a(x) {}
  constexpr modint() noexcept : a(static_cast<value_type>(0)) {}
  constexpr modint(const iint64 &x) noexcept : a(cst(x)) {}
  constexpr modint operator+(const modint &o) const noexcept {
    return modint(optimize_tag, a + o.a < MODULO ? a + o.a : a + o.a - MODULO);
  }
  constexpr modint operator-(const modint &o) const noexcept {
    return modint(optimize_tag, a < o.a ? a + MODULO - o.a : a - o.a);
  }
  constexpr modint operator*(const modint &o) const noexcept {
    return modint(optimize_tag,
                  static_cast<value_type>(static_cast<uint64>(a) *
                                          static_cast<uint64>(o.a) %
                                          static_cast<uint64>(MODULO)));
  }
  constexpr modint operator/(const modint &o) const {
    return modint(optimize_tag,
                  static_cast<value_type>(static_cast<uint64>(a) *
                                          static_cast<uint64>((~o).a) %
                                          static_cast<uint64>(MODULO)));
  }
  modint &operator+=(const modint &o) noexcept {
    if ((a += o.a) >= MODULO)
      a -= MODULO;
    return *this;
  }
  modint &operator-=(const modint &o) noexcept {
    if (a < o.a)
      a += MODULO;
    a -= o.a;
    return *this;
  }
  modint &operator*=(const modint &o) noexcept {
    a = static_cast<value_type>(static_cast<uint64>(a) *
                                static_cast<uint64>(o.a) %
                                static_cast<uint64>(MODULO));
    return *this;
  }
  modint &operator/=(const modint &o) {
    a = static_cast<uint64>(a) * (~o).a % MODULO;
    return *this;
  }
  constexpr modint inverse() const noexcept {
    assert(a != static_cast<value_type>(0) && "0 does not have inverse");
    return pow(static_cast<uint64>(MODULO - static_cast<value_type>(2)));
  }
  constexpr modint operator~() const noexcept { return inverse(); }
  constexpr modint operator-() const noexcept {
    if (a == static_cast<value_type>(0)) {
      return modint(optimize_tag, static_cast<value_type>(0));
    } else {
      return modint(optimize_tag, MODULO - a);
    }
  }
  modint &operator++() noexcept {
    if (++a == MODULO) {
      a = static_cast<value_type>(0);
    }
    return *this;
  }
  modint &operator--() noexcept {
    if (a == static_cast<value_type>(0)) {
      a = MODULO;
    }
    --a;
    return *this;
  }
  constexpr bool operator==(const modint &o) const noexcept { return a == o.a; }
  constexpr bool operator!=(const modint &o) const noexcept { return a != o.a; }
  constexpr bool operator<(const modint &o) const noexcept { return a < o.a; }
  constexpr bool operator<=(const modint &o) const noexcept { return a <= o.a; }
  constexpr bool operator>(const modint &o) const noexcept { return a > o.a; }
  constexpr bool operator>=(const modint &o) const noexcept { return a >= o.a; }
  constexpr explicit operator bool() const noexcept { return a; }
  constexpr explicit operator value_type() const noexcept { return a; }
  modint pow(iint64 inx) const noexcept {
    if (inx < 0)
      assert(a != static_cast<value_type>(0) && "not pow index < 0");
    uint64 x = inx;
    uint64 t = a, u = 1;
    while (x) {
      if (x & 1)
        u = u * t % MODULO;
      t = (t * t) % MODULO;
      x >>= 1;
    }
    return modint(optimize_tag, static_cast<value_type>(u));
  }
  constexpr value_type get() const noexcept { return a; }
};
using mint = modint<MOD>;

mint dp[51][51][3503];
void solve_dp() {
  LL N, score;
  cin >> N >> score;
  dp[0][0][0] = 1;
  // (i,j left, score sum)
  FOR(i, 0, N) {
    FOR(j, 0, i + 1) {
      FOR(k, 0, score + 1) {
        { // o---o
          int nj = j;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k];
        }
        { // o...o
          int nj = j + 1;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k];
        }
        { // o/...o
          int nj = j;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k] * (2 * j);
        }
        if (j) { // o/..\o
          int nj = j - 1;
          dp[i + 1][nj][k + 2 * nj] += dp[i][j][k] * (j * j);
        }
      }
    }
  }
  mint ans = dp[N][0][score];
  cout << ans.get() << "\n";
}
int main() {
  cin.tie(0);
  ios_base::sync_with_stdio(false);

  // maintest();
  // cap();
  // return 0;
  // solve_umekomi();
  solve_dp();

  return 0;
}