結果

問題 No.1334 Multiply or Add
ユーザー 👑 emthrmemthrm
提出日時 2021-01-08 22:39:16
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 29 ms / 2,000 ms
コード長 6,474 bytes
コンパイル時間 2,673 ms
コンパイル使用メモリ 212,132 KB
実行使用メモリ 6,784 KB
最終ジャッジ日時 2024-11-16 13:50:39
合計ジャッジ時間 5,607 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 1 ms
5,248 KB
testcase_03 AC 16 ms
5,504 KB
testcase_04 AC 16 ms
6,272 KB
testcase_05 AC 16 ms
6,016 KB
testcase_06 AC 14 ms
5,248 KB
testcase_07 AC 14 ms
5,376 KB
testcase_08 AC 13 ms
5,248 KB
testcase_09 AC 14 ms
5,248 KB
testcase_10 AC 15 ms
5,504 KB
testcase_11 AC 15 ms
5,888 KB
testcase_12 AC 14 ms
5,248 KB
testcase_13 AC 16 ms
6,656 KB
testcase_14 AC 16 ms
6,656 KB
testcase_15 AC 16 ms
6,784 KB
testcase_16 AC 16 ms
5,760 KB
testcase_17 AC 17 ms
6,528 KB
testcase_18 AC 16 ms
6,016 KB
testcase_19 AC 16 ms
6,400 KB
testcase_20 AC 17 ms
6,656 KB
testcase_21 AC 16 ms
6,400 KB
testcase_22 AC 14 ms
5,248 KB
testcase_23 AC 15 ms
5,248 KB
testcase_24 AC 14 ms
5,248 KB
testcase_25 AC 15 ms
5,888 KB
testcase_26 AC 14 ms
5,248 KB
testcase_27 AC 14 ms
5,248 KB
testcase_28 AC 16 ms
5,504 KB
testcase_29 AC 16 ms
6,272 KB
testcase_30 AC 15 ms
5,248 KB
testcase_31 AC 14 ms
5,248 KB
testcase_32 AC 15 ms
5,248 KB
testcase_33 AC 16 ms
6,656 KB
testcase_34 AC 17 ms
6,656 KB
testcase_35 AC 16 ms
6,528 KB
testcase_36 AC 16 ms
6,656 KB
testcase_37 AC 16 ms
6,656 KB
testcase_38 AC 16 ms
6,656 KB
testcase_39 AC 2 ms
5,248 KB
testcase_40 AC 8 ms
5,248 KB
testcase_41 AC 4 ms
5,248 KB
testcase_42 AC 4 ms
5,248 KB
testcase_43 AC 12 ms
5,760 KB
testcase_44 AC 8 ms
5,248 KB
testcase_45 AC 4 ms
5,248 KB
testcase_46 AC 8 ms
5,248 KB
testcase_47 AC 11 ms
5,504 KB
testcase_48 AC 9 ms
5,248 KB
testcase_49 AC 16 ms
6,272 KB
testcase_50 AC 27 ms
6,144 KB
testcase_51 AC 27 ms
6,144 KB
testcase_52 AC 28 ms
6,272 KB
testcase_53 AC 27 ms
6,272 KB
testcase_54 AC 28 ms
6,272 KB
testcase_55 AC 29 ms
6,272 KB
testcase_56 AC 2 ms
5,248 KB
testcase_57 AC 2 ms
5,248 KB
testcase_58 AC 2 ms
5,248 KB
testcase_59 AC 2 ms
5,248 KB
testcase_60 AC 2 ms
5,248 KB
testcase_61 AC 2 ms
5,248 KB
testcase_62 AC 2 ms
5,248 KB
testcase_63 AC 2 ms
5,248 KB
testcase_64 AC 2 ms
5,248 KB
testcase_65 AC 2 ms
5,248 KB
testcase_66 AC 22 ms
5,632 KB
testcase_67 AC 16 ms
5,248 KB
testcase_68 AC 3 ms
5,248 KB
testcase_69 AC 25 ms
5,888 KB
testcase_70 AC 25 ms
5,888 KB
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ソースコード

diff # 

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

template <int MOD>
struct MInt {
  unsigned val;
  MInt(): val(0) {}
  MInt(long long x) : val(x >= 0 ? x % MOD : x % MOD + MOD) {}
  static int get_mod() { return MOD; }
  static void set_mod(int divisor) { assert(divisor == MOD); }
  MInt pow(long long exponent) const {
    MInt tmp = *this, res = 1;
    while (exponent > 0) {
      if (exponent & 1) res *= tmp;
      tmp *= tmp;
      exponent >>= 1;
    }
    return res;
  }
  MInt &operator+=(const MInt &x) { if((val += x.val) >= MOD) val -= MOD; return *this; }
  MInt &operator-=(const MInt &x) { if((val += MOD - x.val) >= MOD) val -= MOD; return *this; }
  MInt &operator*=(const MInt &x) { val = static_cast<unsigned long long>(val) * x.val % MOD; return *this; }
  MInt &operator/=(const MInt &x) {
    // assert(std::__gcd(static_cast<int>(x.val), MOD) == 1);
    unsigned a = x.val, b = MOD; int u = 1, v = 0;
    while (b) {
      unsigned tmp = a / b;
      std::swap(a -= tmp * b, b);
      std::swap(u -= tmp * v, v);
    }
    return *this *= u;
  }
  bool operator==(const MInt &x) const { return val == x.val; }
  bool operator!=(const MInt &x) const { return val != x.val; }
  bool operator<(const MInt &x) const { return val < x.val; }
  bool operator<=(const MInt &x) const { return val <= x.val; }
  bool operator>(const MInt &x) const { return val > x.val; }
  bool operator>=(const MInt &x) const { return val >= x.val; }
  MInt &operator++() { if (++val == MOD) val = 0; return *this; }
  MInt operator++(int) { MInt res = *this; ++*this; return res; }
  MInt &operator--() { val = (val == 0 ? MOD : val) - 1; return *this; }
  MInt operator--(int) { MInt res = *this; --*this; return res; }
  MInt operator+() const { return *this; }
  MInt operator-() const { return MInt(val ? MOD - val : 0); }
  MInt operator+(const MInt &x) const { return MInt(*this) += x; }
  MInt operator-(const MInt &x) const { return MInt(*this) -= x; }
  MInt operator*(const MInt &x) const { return MInt(*this) *= x; }
  MInt operator/(const MInt &x) const { return MInt(*this) /= x; }
  friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; }
  friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; }
};
namespace std { template <int MOD> MInt<MOD> abs(const MInt<MOD> &x) { return x; } }
template <int MOD>
struct Combinatorics {
  using ModInt = MInt<MOD>;
  int val;  // "val!" and "mod" must be disjoint.
  std::vector<ModInt> fact, fact_inv, inv;
  Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) {
    fact[0] = 1;
    for (int i = 1; i <= val; ++i) fact[i] = fact[i - 1] * i;
    fact_inv[val] = ModInt(1) / fact[val];
    for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i;
    for (int i = 1; i <= val; ++i) inv[i] = fact[i - 1] * fact_inv[i];
  }
  ModInt nCk(int n, int k) const {
    if (n < 0 || n < k || k < 0) return 0;
    assert(n <= val && k <= val);
    return fact[n] * fact_inv[k] * fact_inv[n - k];
  }
  ModInt nPk(int n, int k) const {
    if (n < 0 || n < k || k < 0) return 0;
    assert(n <= val);
    return fact[n] * fact_inv[n - k];
  }
  ModInt nHk(int n, int k) const {
    if (n < 0 || k < 0) return 0;
    return k == 0 ? 1 : nCk(n + k - 1, k);
  }
};
using ModInt = MInt<MOD>;

// https://codeforces.com/contest/1461/problem/F
ModInt solve(vector<int> a) {
  int n = a.size();
  if (n == 1) return a[0];
  if (n == 2) return 1LL * a[0] * a[1];
  vector<ll> mul(n);
  mul[0] = a[0];
  FOR(i, 1, n) mul[i] = min(mul[i - 1] * a[i], 1LL * INF);
  if (mul[n - 1] == INF) {
    ModInt res = 1;
    for (int e : a) res *= e;
    return res;
  }
  vector<int> b;
  for (int i = 0; i < n;) {
    int j = i + 1;
    if (a[i] == 1) {
      while (j < n && a[j] == 1) ++j;
      b.emplace_back(j - i);
    } else {
      int mul = a[i];
      while (j < n && a[j] > 1) mul *= a[j++];
      b.emplace_back(mul);
    }
    i = j;
  }
  int m = b.size();
  assert(m % 2 == 1);
  vector<ll> dp(m, -LINF);
  vector<int> prev(m, -1);
  dp[0] = b[0];
  prev[0] = 0;
  for (int i = 2; i < m; i += 2) {
    dp[i] = dp[i - 2] + b[i - 1] + b[i];
    prev[i] = i;
    int mul = b[i];
    for (int j = i - 2; j >= 0; j -= 2) {
      mul *= b[j];
      if (dp[i] < (j == 0 ? 0 : dp[j - 2] + b[j - 1]) + mul) {
        dp[i] = (j == 0 ? 0 : dp[j - 2] + b[j - 1]) + mul;
        prev[i] = j;
      }
    }
  }
  int pos = m - 1;
  vector<bool> plus(m, true);
  while (pos >= 0) {
    FOR(i, prev[pos], pos) plus[i] = false;
    pos = prev[pos] - 2;
  }
  string ans = "";
  bool ast = true;
  for (int i = 0, idx = 0; i < n; ++idx) {
    int j = i;
    if (a[i] == 1) {
      while (j < n && a[j] == 1) {
        ans += ast ? '*' : '+';
        ++j;
      }
    } else {
      while (j < n && a[j] > 1) {
        ans += '*';
        ++j;
      }
      ans.pop_back();
      ast = !plus[idx];
      ans += ast ? '*' : '+';
    }
    i = j;
  }
  ans.pop_back();
  ModInt res = 0, cur = a[0];
  for (int i = 1; i < n; ++i) {
    if (ans[i - 1] == '+') {
      res += cur;
      cur = a[i];
    } else if (ans[i - 1] == '*') {
      cur *= a[i];
    }
  }
  return res + cur;
}

int main() {
  int n; cin >> n;
  vector<int> a(n); REP(i, n) cin >> a[i];
  ModInt ans = 0;
  for (int i = 0; i < n;) {
    if (a[i] == 1) {
      ans += a[i++];
      continue;
    }
    int j = n - 1;
    while (j >= i && a[j] == 1) --j;
    ans += solve(vector<int>(a.begin() + i, a.begin() + j + 1));
    ans += n - (j + 1);
    break;
  }
  cout << ans << '\n';
  return 0;
}
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