結果

問題 No.315 世界のなんとか3.5
ユーザー yagisumi
提出日時 2021-04-01 19:06:27
言語 TypeScript
(5.7.2)
結果
TLE  
実行時間 -
コード長 4,608 bytes
コンパイル時間 8,131 ms
コンパイル使用メモリ 229,992 KB
実行使用メモリ 89,652 KB
最終ジャッジ日時 2024-12-31 16:37:18
合計ジャッジ時間 43,416 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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ファイルパターン 結果
other AC * 31 TLE * 5
権限があれば一括ダウンロードができます

ソースコード

diff # 

import * as fs from 'fs'

// import * as readline from 'readline'
// const rl = readline.createInterface({ input: process.stdin, output: process.stdout })
// const ask = (query: string) => new Promise<string>((resolve) => rl.question(query, resolve))
// // Don't forget `rl.close()`.

const INT = Math.floor

declare global {
  interface Array<T> {
    last(): T | undefined
    isEmpty(): boolean
  }
}
Array.prototype.last = function () {
  return this.length === 0 ? undefined : this[this.length - 1]
}
Array.prototype.isEmpty = function () {
  return this.length === 0
}

const bigIntMax = (...args: bigint[]) => args.reduce((m, e) => (e > m ? e : m))
const bigIntMin = (...args: bigint[]) => args.reduce((m, e) => (e < m ? e : m))
const bigIntAbs = (arg: bigint) => (arg < 0 ? -arg : arg)

declare const stdin: number
function read_stdin() {
  return fs.readFileSync(process.env.NODE_ENV === 'debug' ? stdin : process.stdin.fd, 'utf8')
}
class Input {
  readonly inputs: string[]
  private index = 0
  constructor(str?: string) {
    this.inputs = (str ? str : read_stdin()).split(/\s+/)
  }
  number() {
    return Number(this.inputs[this.index++])
  }
  numbers(n: number) {
    return this.inputs.slice(this.index, (this.index += n)).map(Number)
  }
  bigint() {
    return BigInt(this.inputs[this.index++])
  }
  bigints(n: number) {
    return this.inputs.slice(this.index, (this.index += n)).map(BigInt)
  }
  word() {
    return this.inputs[this.index++]
  }
  words(n: number) {
    return this.inputs.slice(this.index, (this.index += n))
  }
}

function array<T>(len: number, init: T): T[] {
  return Array(len).fill(init)
}

function array2<T>(h: number, w: number, init: T): T[][] {
  return array(h, 0).map(() => array(w, init))
}

function main() {
  const input = new Input()

  const A_ = input.word()
  const B = input.word()
  const A = A_.padStart(B.length, '0')
  const P = input.number()
  const M = 10 ** 9 + 7

  const b_max_state = {
    mod3: 0,
    has3: false,
    mod8: 0,
  }
  const a_max_state = {
    mod3: 0,
    has3: false,
    mod8: 0,
  }
  let b_count = 0
  let a_count = 0

  let b_dp = Array(3 * 2 * P).fill(0)
  let b_dp2 = Array(3 * 2 * P)
  let a_dp = Array(3 * 2 * P).fill(0)
  let a_dp2 = Array(3 * 2 * P)

  function IDX(mod3: number, has3: boolean, mod8: number) {
    return mod3 * 2 * P + (has3 ? 1 : 0) * P + mod8
  }

  for (let i = 0; i < B.length; i++) {
    b_dp2.fill(0)
    a_dp2.fill(0)
    const b_digit = Number(B[i])
    const a_digit = Number(A[i])

    const check_m8 = B.length - i <= 5
    const limit_m8 = check_m8 ? P : 1
    for (let j = 0; j < 10; j++) {
      if (j < b_digit) {
        const m3 = (b_max_state.mod3 * 10 + j) % 3
        const has3 = b_max_state.has3 || j === 3
        const m8 = check_m8 ? (b_max_state.mod8 * 10 + j) % P : 0
        b_dp2[IDX(m3, has3, m8)] += 1
        if (i === B.length - 1 && (m3 === 0 || has3) && m8 !== 0) {
          b_count += 1
        }
      }
      if (j < a_digit) {
        const m3 = (a_max_state.mod3 * 10 + j) % 3
        const has3 = a_max_state.has3 || j === 3
        const m8 = check_m8 ? (a_max_state.mod8 * 10 + j) % P : 0
        a_dp2[IDX(m3, has3, m8)] += 1
        if (i === B.length - 1 && (m3 === 0 || has3) && m8 !== 0) {
          a_count += 1
        }
      }
      for (let m3 = 0; m3 < 3; m3++) {
        for (let has3 = 0; has3 < 2; has3++) {
          for (let m8 = 0; m8 < limit_m8; m8++) {
            const t3 = (m3 * 10 + j) % 3
            const h3 = has3 === 1 || j === 3
            const t8 = check_m8 ? (m8 * 10 + j) % P : 0
            const idx = IDX(t3, h3, t8)
            const idx0 = IDX(m3, has3 === 1, m8)
            b_dp2[idx] = (b_dp2[idx] + b_dp[idx0]) % M
            a_dp2[idx] = (a_dp2[idx] + a_dp[idx0]) % M
            if (i === B.length - 1 && (t3 === 0 || h3) && t8 !== 0) {
              b_count = (b_count + b_dp[idx0]) % M
              a_count = (a_count + a_dp[idx0]) % M
            }
          }
        }
      }
    }

    b_max_state.mod3 = (b_max_state.mod3 * 10 + b_digit) % 3
    b_max_state.has3 = b_max_state.has3 || b_digit === 3
    b_max_state.mod8 = (b_max_state.mod8 * 10 + b_digit) % P
    a_max_state.mod3 = (a_max_state.mod3 * 10 + a_digit) % 3
    a_max_state.has3 = a_max_state.has3 || a_digit === 3
    a_max_state.mod8 = (a_max_state.mod8 * 10 + a_digit) % P
    ;[b_dp, b_dp2, a_dp, a_dp2] = [b_dp2, b_dp, a_dp2, a_dp]
  }

  if ((b_max_state.mod3 === 0 || b_max_state.has3) && b_max_state.mod8 !== 0) {
    b_count += 1
  }

  const r = (b_count - a_count) % M
  console.log(r < 0 ? r + M : r)
}

main()
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