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 diff: Record<number, number> = { 8: 1, 80: 2, 800: 3 }
  const pdiff = diff[P]
  const modp_i = B.length - pdiff

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

  let b_dp = Array(3 * 2 * 8 * 2 * 2).fill(0)
  let b_dp2 = Array(3 * 2 * 8 * 2 * 2)
  let a_dp = Array(3 * 2 * 8 * 2 * 2).fill(0)
  let a_dp2 = Array(3 * 2 * 8 * 2 * 2)

  function IDX(mod3: number, has3: boolean, mod8: number, modp: boolean, zero: boolean) {
    return (
      mod3 * 2 * 8 * 2 * 2 +
      (has3 ? 1 : 0) * 8 * 2 * 2 +
      mod8 * 2 * 2 +
      (modp ? 1 : 0) * 2 +
      (zero ? 1 : 0)
    )
  }

  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 <= 2 + pdiff
    const limit_m8 = check_m8 ? 8 : 1
    const check_zero = B.length - i <= pdiff
    const limit_zero = check_zero ? 2 : 1
    const limit_mp = check_zero ? 2 : 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) % 8 : 0
        const mp = b_max_state.modp || (i === modp_i ? m8 === 0 : false)
        const zero = check_zero ? j === 0 : false
        b_dp2[IDX(m3, has3, m8, mp, zero)] += 1
        if (i === B.length - 1) {
          if (
            (m3 === 0 || has3) &&
            !(mp && (P === 8 || (j === 0 && (P === 80 || b_max_state.zero))))
          ) {
            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) % 8 : 0
        const mp = a_max_state.modp || (i === modp_i ? m8 === 0 : false)
        const zero = check_zero ? j === 0 : false
        a_dp2[IDX(m3, has3, m8, mp, zero)] += 1
        if (i === B.length - 1) {
          if (
            (m3 === 0 || has3) &&
            !(mp && (P === 8 || (j === 0 && (P === 80 || a_max_state.zero))))
          ) {
            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++) {
            for (let mp = 0; mp < limit_mp; mp++) {
              for (let zero = 0; zero < limit_zero; zero++) {
                const t3 = (m3 * 10 + j) % 3
                const h3 = has3 === 1 || j === 3
                const t8 = check_m8 ? (m8 * 10 + j) % 8 : 0
                const tp = mp === 1 || (i === modp_i ? t8 === 0 : false)
                const t_zero = check_zero ? j === 0 : false
                const idx = IDX(t3, h3, t8, tp, t_zero)
                const idx0 = IDX(m3, has3 === 1, m8, mp === 1, zero === 1)
                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) {
                  if (
                    (t3 === 0 || h3) &&
                    !(tp && (P === 8 || (j === 0 && (P === 80 || zero === 1))))
                  ) {
                    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) % 8
    b_max_state.modp = b_max_state.modp || (i === modp_i ? b_max_state.mod8 === 0 : false)
    b_max_state.zero = b_digit === 0
    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) % 8
    a_max_state.modp = a_max_state.modp || (i === modp_i ? a_max_state.mod8 === 0 : false)
    a_max_state.zero = a_digit === 0
    ;[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.modp && (P === 8 || (b_max_state.zero && (P === 80 || B[B.length - 2] === '0'))))
  ) {
    b_count += 1
  }

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

// console.time()
main()
// console.timeEnd()