A non-empty array A consisting of N integers is given.
A peak is an array element which is larger than its neighbors. More precisely, it is an index P such that 0 < P < N − 1, A[P − 1] < A[P] and A[P] > A[P + 1].
For example, the following array A:
A[0] = 1 A[1] = 2 A[2] = 3 A[3] = 4 A[4] = 3 A[5] = 4 A[6] = 1 A[7] = 2 A[8] = 3 A[9] = 4 A[10] = 6 A[11] = 2has exactly three peaks: 3, 5, 10.
We want to divide this array into blocks containing the same number of elements. More precisely, we want to choose a number K that will yield the following blocks:
- A[0], A[1], ..., A[K − 1],
- A[K], A[K + 1], ..., A[2K − 1],
...- A[N − K], A[N − K + 1], ..., A[N − 1].
What's more, every block should contain at least one peak. Notice that extreme elements of the blocks (for example A[K − 1] or A[K]) can also be peaks, but only if they have both neighbors (including one in an adjacent blocks).
The goal is to find the maximum number of blocks into which the array A can be divided.
Array A can be divided into blocks as follows:
- one block (1, 2, 3, 4, 3, 4, 1, 2, 3, 4, 6, 2). This block contains three peaks.
- two blocks (1, 2, 3, 4, 3, 4) and (1, 2, 3, 4, 6, 2). Every block has a peak.
- three blocks (1, 2, 3, 4), (3, 4, 1, 2), (3, 4, 6, 2). Every block has a peak. Notice in particular that the first block (1, 2, 3, 4) has a peak at A[3], because A[2] < A[3] > A[4], even though A[4] is in the adjacent block.
However, array A cannot be divided into four blocks, (1, 2, 3), (4, 3, 4), (1, 2, 3) and (4, 6, 2), because the (1, 2, 3) blocks do not contain a peak. Notice in particular that the (4, 3, 4) block contains two peaks: A[3] and A[5].
The maximum number of blocks that array A can be divided into is three.
Write a function:
func Solution(A []int) int
that, given a non-empty array A consisting of N integers, returns the maximum number of blocks into which A can be divided.
If A cannot be divided into some number of blocks, the function should return 0.
For example, given:
A[0] = 1 A[1] = 2 A[2] = 3 A[3] = 4 A[4] = 3 A[5] = 4 A[6] = 1 A[7] = 2 A[8] = 3 A[9] = 4 A[10] = 6 A[11] = 2the function should return 3, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- each element of array A is an integer within the range [0..1,000,000,000].
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i]
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i :=
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i := 1; i <= block; i++{
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i := 1; i <= block; i++{
if peakArray[i*block-1]
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i := 1; i <= block; i++{
if peakArray[i*block-1] >
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastP
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
}
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
}
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
result := 0
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length - 1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
panic: runtime error: index out of range goroutine 1 [running]: solution.Solution(0xc20803a060, 0xc, 0xc, 0x56c370) /tmp/workspace/src/solution/solution.go:34 +0x431 main.main() /tmp/workspace/src/main/exec.go:157 +0x1a0 goroutine 2 [runnable]: runtime.forcegchelper() /usr/local/go/src/runtime/proc.go:90 runtime.goexit() /usr/local/go/src/runtime/asm_amd64.s:2232 +0x1 goroutine 3 [runnable]: runtime.bgsweep() /usr/local/go/src/runtime/mgc0.go:82 runtime.goexit() /usr/local/go/src/runtime/asm_amd64.s:2232 +0x1 goroutine 4 [runnable]: runtime.runfinq() /usr/local/go/src/runtime/malloc.go:712 runtime.goexit() /usr/local/go/src/runtime/asm_amd64.s:2232 +0x1
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
panic: runtime error: index out of range goroutine 1 [running]: solution.Solution(0xc20803a060, 0xc, 0xc, 0x56c370) /tmp/workspace/src/solution/solution.go:34 +0x42b main.main() /tmp/workspace/src/main/exec.go:157 +0x1a0 goroutine 2 [runnable]: runtime.forcegchelper() /usr/local/go/src/runtime/proc.go:90 runtime.goexit() /usr/local/go/src/runtime/asm_amd64.s:2232 +0x1 goroutine 3 [runnable]: runtime.bgsweep() /usr/local/go/src/runtime/mgc0.go:82 runtime.goexit() /usr/local/go/src/runtime/asm_amd64.s:2232 +0x1 goroutine 4 [runnable]: runtime.runfinq() /usr/local/go/src/runtime/malloc.go:712 runtime.goexit() /usr/local/go/src/runtime/asm_amd64.s:2232 +0x1
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length -1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= block; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length -1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= divi; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length -1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= divisor; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length -1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= divisor; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
package solution
// you can also use imports, for example:
// import "fmt"
// import "os"
// you can write to stdout for debugging purposes, e.g.
// fmt.Println("this is a debug message")
func Solution(A []int) int {
peaks := 0
var divisors []int
peakArray := []int{0}
length := len(A)
result := 0
for i := 1; i < length -1; i++{
if A[i-1] < A[i] && A[i] > A[i+1]{
peaks++
}
peakArray = append(peakArray, peaks)
if length % i == 0{
divisors = append(divisors, i)
}
}
peakArray = append(peakArray, peaks)
for _, divisor := range divisors{
block := length / divisor
lastPeak := 0
ok := true
for i := 1; i <= divisor; i++{
if peakArray[i*block-1] > lastPeak{
lastPeak = peakArray[i*block-1]
} else{
ok = false
break
}
}
if ok {
result = divisor
}
}
return result
}
The solution obtained perfect score.