g2101_2200.s2187_minimum_time_to_complete_trips.Solution.kt Maven / Gradle / Ivy

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package g2101_2200.s2187_minimum_time_to_complete_trips

// #Medium #Array #Binary_Search #2023_06_26_Time_660_ms_(90.91%)_Space_51.5_MB_(100.00%)

class Solution {
    fun minimumTime(time: IntArray, totalTrips: Int): Long {
        return bs(0, Long.MAX_VALUE, time, totalTrips.toLong())
    }

    private fun bs(left: Long, right: Long, time: IntArray, totalTrips: Long): Long {
        if (left > right) {
            return Long.MAX_VALUE
        }
        val mid = left + right shr 1
        return if (isPossible(time, mid, totalTrips)) {
            Math.min(
                mid,
                bs(left, mid - 1, time, totalTrips),
            )
        } else {
            bs(mid + 1, right, time, totalTrips)
        }
    }

    private fun isPossible(time: IntArray, mid: Long, totalTrips: Long): Boolean {
        var count: Long = 0
        for (i in time) {
            count += mid / i
            if (count >= totalTrips) {
                return true
            }
        }
        return false
    }
}