import java.io.PrintWriter
import java.util.*

fun main(args: Array<String>) = IO().exec {
    val n = int()
    val t = LongArray(n){long()}
    val a = LongArray(n){long()}
    val tran = getRanges(t)
    if (tran == null) {
        println(0)
        return@exec
    }
    a.reverse()
    val aran = getRanges(a)
    if (aran == null) {
        println(0)
        return@exec
    }
    aran.reverse()
    val andRange = Array(n){0L..0L}
    for (i in 0 until n) {
        andRange[i] = tran[i].and(aran[i])
        if (andRange[i].isEmpty()) {
            println(0)
            return@exec
        }
    }
    var ret = co(1)
    for (i in 0 until n) {
        ret *= co(andRange[i].size())
    }
    println(ret)
}

infix fun LongRange.and(other: LongRange): LongRange =
        if (this.isEmpty() || other.isEmpty()) LongRange.EMPTY
        else if (this.last < other.first || other.last < this.first) LongRange.EMPTY
        else Math.max(this.first, other.first)..Math.min(this.last, other.last)

fun LongRange.size(): Long = this.last + 1 - this.first


fun getRanges(h: LongArray): Array<LongRange>? {
    val n = h.size
    val ran = Array(n){LongRange.EMPTY}
    ran[0] = h[0]..h[0]
    for (i in 1 until n) {
        when {
            h[i-1] > h[i] -> return null
            h[i-1] == h[i] -> ran[i] = 1..h[i]
            else -> ran[i] = h[i]..h[i]
        }
    }
    return ran
}

const val M = 1000000007L

fun co(n: Long) = Co(n % M)

data class Co(val n: Long) {
    override fun toString(): String = n.toString()
    operator fun plus(other: Co): Co {
        return co(n + other.n)
    }
    operator fun minus(other: Co): Co {
        return co((n - other.n) % M + M)
    }
    operator fun times(other: Co): Co {
        return co(n * other.n)
    }
    operator fun div(other: Co): Co {
        return this * other.pow(M - 2)
    }
    fun pow(k_: Long): Co {
        var k = k_
        var a = this
        var res = co(1)
        while (k > 0) {
            if (k.and(1) == 1L) {
                res *= a
            }
            a *= a
            k = k.shr(1)
        }
        return res
    }
}

class IO {
    val printable = 33..126
    val buffer = ByteArray(1024)
    var ptr = 0
    var buflen = 0
    val out = PrintWriter(System.out)
    fun hasNextByte(): Boolean {
        if (ptr < buflen) {
            return true
        } else {
            ptr = 0
            buflen = System.`in`.read(buffer)
            if (buflen <= 0) {
                return false
            }
        }
        return true
    }
    fun readByte(): Byte {
        return if (hasNextByte()) buffer[ptr++] else return -1
    }
    fun hasNext(): Boolean {
        while (hasNextByte() && buffer[ptr] !in printable) ptr++
        return hasNextByte()
    }
    fun string(): String {
        if (!hasNext()) throw NoSuchElementException()
        val sb = StringBuilder()
        var b = readByte()
        while (b in printable) {
            sb.appendCodePoint(b.toInt())
            b = readByte()
        }
        return sb.toString()
    }
    fun long(): Long {
        if (!hasNext()) throw NoSuchElementException()
        var n = 0L
        var minus = false
        var b = readByte()
        if (b == '-'.toByte()) {
            minus = true
            b = readByte()
        }
        if (b !in '0'.toByte()..'9'.toByte()) {
            throw NumberFormatException()
        }
        while (true) {
            if (b in '0'.toByte()..'9'.toByte()) {
                n *= 10
                n += b - '0'.toByte()
            } else if (b == (-1).toByte() || b !in printable) {
                return if (minus) -n else n
            } else {
                throw NumberFormatException()
            }
            b = readByte()
        }
    }
    fun int(): Int {
        val nl = long()
        if (nl !in Integer.MIN_VALUE..Integer.MAX_VALUE) throw NumberFormatException()
        return nl.toInt()
    }
    fun double(): Double {
        return string().toDouble()
    }
    fun print(obj: Any) = out.print(obj)
    fun print(i: Int) = out.print(i)
    fun print(l: Long) = out.print(l)
    fun println(obj: Any) = out.println(obj)
    fun println(i: Int) = out.println(i)
    fun println(l: Long) = out.println(l)
    inline fun exec(block: IO.() -> Unit) {
        block()
        out.flush()
    }
}

Measured memory_bytes: 53724