Created
March 1, 2018 03:28
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SHORTEST RANGE IN K SORTED LISTS from https://www.youtube.com/watch?v=zplklOy7ENo, solution explained in the video
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package main | |
import ( | |
"container/heap" | |
"fmt" | |
) | |
type mHeap struct { | |
value int | |
array int | |
} | |
type minHeap []mHeap | |
func (m minHeap) Len() int { return len(m) } | |
func (m minHeap) Swap(i, j int) { m[i], m[j] = m[j], m[i] } | |
func (m minHeap) Less(i, j int) bool { return m[i].value < m[j].value } | |
func (m *minHeap) Push(x interface{}) { | |
*m = append(*m, x.(mHeap)) | |
} | |
func (m *minHeap) Pop() interface{} { | |
old := *m | |
n := len(old) | |
x := old[n-1] | |
*m = old[0 : n-1] | |
return x | |
} | |
type maxHeap []mHeap | |
func (m maxHeap) Len() int { return len(m) } | |
func (m maxHeap) Swap(i, j int) { m[i], m[j] = m[j], m[i] } | |
func (m maxHeap) Less(i, j int) bool { return m[i].value > m[j].value } | |
func (m *maxHeap) Push(x interface{}) { | |
*m = append(*m, x.(mHeap)) | |
} | |
func (m *maxHeap) Pop() interface{} { | |
old := *m | |
n := len(old) | |
x := old[n-1] | |
*m = old[0 : n-1] | |
return x | |
} | |
func main() { | |
k0 := []int{4, 10, 15, 24} | |
k1 := []int{0, 9, 12, 20} | |
k2 := []int{5, 18, 22, 30} | |
k := [][]int{k0, k1, k2} | |
x, y, z := 0, 0, 0 | |
indexes := []int{x, y, z} | |
minRange := 1000 | |
minRangeMin := 0 | |
minRangeMax := 0 | |
// Initialize our heaps. | |
minH := &minHeap{} | |
maxH := &maxHeap{} | |
heap.Init(minH) | |
heap.Init(maxH) | |
// Add first values | |
for i := range k { | |
heap.Push(minH, mHeap{k[i][indexes[i]], i}) | |
heap.Push(maxH, mHeap{k[i][indexes[i]], i}) | |
} | |
for { | |
// Pop values from heaps | |
pMin := heap.Pop(minH) | |
pMax := heap.Pop(maxH) | |
// restore the max | |
heap.Push(maxH, pMax) | |
// Grab current values | |
min := pMin.(mHeap).value | |
max := pMax.(mHeap).value | |
Range := max - min | |
// Store values if this is the minimum range so far. | |
if Range < minRange { | |
minRange = Range | |
minRangeMin = min | |
minRangeMax = max | |
} | |
// Find out the index of the min value | |
i := pMin.(mHeap).array | |
// Increment this index | |
indexes[i]++ | |
// If we reached the end of one of the lists. | |
if indexes[i] >= len(k[i]) { | |
break | |
} | |
// Add new elements to the heap | |
heap.Push(minH, mHeap{k[i][indexes[i]], i}) | |
heap.Push(maxH, mHeap{k[i][indexes[i]], i}) | |
} | |
fmt.Printf("Min: %v\n", minRangeMin) | |
fmt.Printf("Max: %v\n", minRangeMax) | |
fmt.Printf("Result: %v\n", minRange) | |
} |
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