Problem:
Score: 200 points

Problem Statement

M-kun has the following three cards:

A red card with the integer A.

A green card with the integer B.

A blue card with the integer C.

He is a genius magician who can do the following operation at most K times:

Choose one of the three cards and multiply the written integer by 2.

His magic is successful if both of the following conditions are satisfied after the operations:

The integer on the green card is strictly greater than the integer on the red card.

The integer on the blue card is strictly greater than the integer on the green card.

Determine whether the magic can be successful.

Constraints

1 \leq A, B, C \leq 7

1 \leq K \leq 7

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B C
K

Output

If the magic can be successful, print Yes; otherwise, print No.

Sample Input 1

7 2 5
3

Sample Output 1

Yes

The magic will be successful if, for example, he does the following operations:

First, choose the blue card. The integers on the red, green, and blue cards are now 7, 2, and 10, respectively.

Second, choose the green card. The integers on the red, green, and blue cards are now 7, 4, and 10, respectively.

Third, choose the green card. The integers on the red, green, and blue cards are now 7, 8, and 10, respectively.

Sample Input 2

7 4 2
3

Sample Output 2

No

He has no way to succeed in the magic with at most three operations.

Solution in Go (1.14.1) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"fmt"
	"io"
	"os"
	"strconv"
)

var (
	scanner *bufio.Scanner
	buffer  *bufio.Writer
	writer  io.Writer
)

func main() {
	defer flush()
	initWordScanner()
	initBufWriter()

	a := readInt()
	b := readInt()
	c := readInt()
	x := readInt()

	f := false
	for i := 0; i <= x; i++ {
		for j := 0; j <= x-i; j++ {
			for k := 0; k <= x-i-j; k++ {
				ta := a * 2 * i
				tb := b * 2 * j
				tc := c * 2 * k
				if ta < tb && tb < tc {
					f = true
					break
				}
			}
		}
	}

	if f {
		println("Yes")
	} else {
		println("No")
	}
}

func initLineScanner() {
	scanner = bufio.NewScanner(os.Stdin)
	buf := make([]byte, 1e4)
	scanner.Buffer(buf, bufio.MaxScanTokenSize)
}

func initWordScanner() {
	initLineScanner()
	scanner.Split(bufio.ScanWords)
}

func readLine() string {
	if scanner.Scan() {
		return scanner.Text()
	}
	return ""
}

func readInt() int {
	scanner.Scan()
	n, err := strconv.Atoi(scanner.Text())
	if err != nil {
		panic(err)
	}
	return n
}

func readFloat() float64 {
	scanner.Scan()
	n, err := strconv.ParseFloat(scanner.Text(), 64)
	if err != nil {
		panic(err)
	}
	return n
}

func readRunes() []rune {
	scanner.Scan()
	var ns []rune
	for _, v := range scanner.Text() {
		ns = append(ns, v)
	}
	return ns
}

func readString() string {
	if scanner.Scan() {
		return scanner.Text()
	}
	return ""
}

func readStrings() []string {
	scanner.Scan()
	var ss []string
	for _, v := range scanner.Text() {
		ss = append(ss, string(v))
	}
	return ss
}

func initWriter() {
	buffer = nil
	writer = os.Stdout
}

func initBufWriter() {
	buffer = bufio.NewWriter(os.Stdout)
	writer = buffer
}

func printf(f string, args ...interface{}) (int, error) {
	return fmt.Fprintf(writer, f, args...)
}

func println(args ...interface{}) (int, error) {
	return fmt.Fprintln(writer, args...)
}

func eprintf(f string, args ...interface{}) (int, error) {
	return fmt.Fprintf(os.Stderr, f, args...)
}

func eprintln(args ...interface{}) (int, error) {
	return fmt.Fprintln(os.Stderr, args...)
}

func flush() {
	if writer != nil {
		buffer.Flush()
	}
}

func string2int(s string) int {
	n, e := strconv.Atoi(s)
	if e != nil {
		panic(e)
	}
	return n
}

func int2string(n int) string {
	s := strconv.Itoa(n)
	return s
}

func string2float(s string) float64 {
	n, e := strconv.ParseFloat(s, 64)
	if e != nil {
		panic(e)
	}
	return n
}

func sum(ns []int) int {
	s := 0
	for _, n := range ns {
		s += n
	}
	return s
}

func min(a, b int) int {
	if a < b {
		return a
	}
	return b
}

func max(a, b int) int {
	if a < b {
		return b
	}
	return a
}

func abs(n int) int {
	if n < 0 {
		return -n
	}
	return n
}

func gcd(a, b int) int {
	if b == 0 {
		return a
	}
	return gcd(b, a%b)
}

func lcm(a, b int) int {
	return a / gcd(a, b) * b
}