結果

問題 No.1334 Multiply or Add
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-01-08 22:20:07
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 45 ms / 2,000 ms
コード長 4,103 bytes
コンパイル時間 1,552 ms
コンパイル使用メモリ 157,276 KB
実行使用メモリ 14,072 KB
最終ジャッジ日時 2023-09-04 11:48:21
合計ジャッジ時間 5,190 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge15
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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 1 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 21 ms
13,208 KB
testcase_04 AC 20 ms
13,308 KB
testcase_05 AC 20 ms
14,072 KB
testcase_06 AC 20 ms
13,288 KB
testcase_07 AC 22 ms
12,992 KB
testcase_08 AC 21 ms
12,992 KB
testcase_09 AC 21 ms
13,468 KB
testcase_10 AC 21 ms
13,132 KB
testcase_11 AC 22 ms
13,148 KB
testcase_12 AC 21 ms
12,912 KB
testcase_13 AC 20 ms
13,124 KB
testcase_14 AC 20 ms
13,000 KB
testcase_15 AC 20 ms
13,048 KB
testcase_16 AC 21 ms
13,696 KB
testcase_17 AC 21 ms
13,004 KB
testcase_18 AC 22 ms
13,044 KB
testcase_19 AC 25 ms
13,120 KB
testcase_20 AC 26 ms
13,684 KB
testcase_21 AC 26 ms
13,280 KB
testcase_22 AC 20 ms
13,120 KB
testcase_23 AC 22 ms
13,212 KB
testcase_24 AC 20 ms
13,196 KB
testcase_25 AC 22 ms
13,124 KB
testcase_26 AC 21 ms
13,136 KB
testcase_27 AC 20 ms
13,188 KB
testcase_28 AC 20 ms
13,096 KB
testcase_29 AC 21 ms
13,184 KB
testcase_30 AC 21 ms
13,068 KB
testcase_31 AC 21 ms
13,064 KB
testcase_32 AC 21 ms
13,124 KB
testcase_33 AC 20 ms
13,000 KB
testcase_34 AC 22 ms
13,116 KB
testcase_35 AC 22 ms
13,856 KB
testcase_36 AC 22 ms
13,004 KB
testcase_37 AC 22 ms
13,072 KB
testcase_38 AC 22 ms
13,128 KB
testcase_39 AC 2 ms
4,376 KB
testcase_40 AC 9 ms
5,912 KB
testcase_41 AC 4 ms
4,376 KB
testcase_42 AC 5 ms
4,380 KB
testcase_43 AC 15 ms
8,748 KB
testcase_44 AC 8 ms
6,592 KB
testcase_45 AC 4 ms
4,380 KB
testcase_46 AC 9 ms
6,016 KB
testcase_47 AC 14 ms
7,300 KB
testcase_48 AC 10 ms
6,512 KB
testcase_49 AC 19 ms
12,576 KB
testcase_50 AC 40 ms
10,400 KB
testcase_51 AC 39 ms
10,428 KB
testcase_52 AC 39 ms
11,448 KB
testcase_53 AC 39 ms
10,464 KB
testcase_54 AC 39 ms
10,424 KB
testcase_55 AC 45 ms
11,164 KB
testcase_56 AC 1 ms
4,380 KB
testcase_57 AC 2 ms
4,376 KB
testcase_58 AC 1 ms
4,376 KB
testcase_59 AC 1 ms
4,380 KB
testcase_60 AC 1 ms
4,380 KB
testcase_61 AC 2 ms
4,380 KB
testcase_62 AC 1 ms
4,380 KB
testcase_63 AC 1 ms
4,376 KB
testcase_64 AC 1 ms
4,380 KB
testcase_65 AC 1 ms
4,376 KB
testcase_66 AC 33 ms
9,976 KB
testcase_67 AC 21 ms
7,472 KB
testcase_68 AC 3 ms
4,380 KB
testcase_69 AC 36 ms
10,044 KB
testcase_70 AC 34 ms
10,272 KB
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ソースコード

diff # 

import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }


struct ModInt(int M_) {
  import std.conv : to;
  alias M = M_;
  int x;
  this(ModInt a) { x = a.x; }
  this(long a) { x = cast(int)(a % M); if (x < 0) x += M; }
  ref ModInt opAssign(long a) { return (this = ModInt(a)); }
  ref ModInt opOpAssign(string op)(ModInt a) {
    static if (op == "+") { x += a.x; if (x >= M) x -= M; }
    else static if (op == "-") { x -= a.x; if (x < 0) x += M; }
    else static if (op == "*") { x = cast(int)((cast(long)(x) * a.x) % M); }
    else static if (op == "/") { this *= a.inv(); }
    else static assert(false);
    return this;
  }
  ref ModInt opOpAssign(string op)(long a) {
    static if (op == "^^") {
      if (a < 0) return (this = inv()^^(-a));
      ModInt t2 = this, te = ModInt(1);
      for (long e = a; e > 0; e >>= 1) {
        if (e & 1) te *= t2;
        t2 *= t2;
      }
      x = cast(int)(te.x);
      return this;
    } else return mixin("this " ~ op ~ "= ModInt(a)");
  }
  ModInt inv() const {
    int a = x, b = M, y = 1, z = 0, t;
    for (; ; ) {
      t = a / b; a -= t * b;
      if (a == 0) {
        assert(b == 1 || b == -1);
        return ModInt(b * z);
      }
      y -= t * z;
      t = b / a; b -= t * a;
      if (b == 0) {
        assert(a == 1 || a == -1);
        return ModInt(a * y);
      }
      z -= t * y;
    }
  }
  ModInt opUnary(string op: "-")() const { return ModInt(-x); }
  ModInt opBinary(string op, T)(T a) const {
    return mixin("ModInt(this) " ~ op ~ "= a");
  }
  ModInt opBinaryRight(string op)(long a) const {
    return mixin("ModInt(a) " ~ op ~ "= this");
  }
  bool opCast(T: bool)() const { return (x != 0); }
  string toString() const { return x.to!string; }
}

enum MO = 10^^9 + 7;
alias Mint = ModInt!MO;

enum LIM = 10L^^9;

void main() {
  try {
    for (; ; ) {
      const N = readInt();
      auto A = new long[N];
      foreach (i; 0 .. N) {
        A[i] = readLong();
      }
      
      long prod = 1;
      foreach (i; 0 .. N) {
        prod *= A[i];
        chmin(prod, LIM);
      }
      if (prod >= LIM) {
        int l, r;
        for (l = 0; l < N && A[l] == 1; ++l) {}
        for (r = N; r > 0 && A[r - 1] == 1; --r) {}
        Mint ans;
        if (l <= r) {
          ans = 1;
          foreach (i; l .. r) {
            ans *= A[i];
          }
          ans += l;
          ans += (N - r);
        } else {
          ans = N;
        }
        writeln(ans);
      } else {
        alias Entry = Tuple!(long, "score", long, "a");
        Entry[] es;
        auto dp = new long[N + 1];
        dp[0] = 0;
        foreach (i; 0 .. N) {
          chmax(dp[i + 1], dp[i] + A[i]);
          if (i == 0 || A[i] > 1) {
            es ~= Entry(dp[i], A[i]);
          }
          long now = 1;
          foreach_reverse (ref e; es) {
            now *= e.a;
            chmax(dp[i + 1], e.score + now);
          }
        }
        writeln(Mint(dp[N]));
      }
    }
  } catch (EOFException e) {
  }
}
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