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Wednesday, July 13, 2011

Problem #41

Problem link
Solution:
package main

import (
"strconv"
"strings"
)

func main() {
a := make([]bool, 87654322)
a[0], a[1] = true, true
prime := 3
var k int
finished := false
for !finished {
for k = 2 * prime; k < len(a); k += prime {
a[k] = true
}
for k = prime + 2; k < len(a) && a[k]; k += 2 {
}
if k < len(a) {
prime = k
} else {
finished = true
}
}
//a now has false values for the primes and multiples of 2
//but we skip even numbers in our iteration.
for i := int64(87654321); i > 0; i -= 2 {
if !a[i] && isPandigital(i) {
println(i)
return
}
}
}

func isPandigital(in int64) bool {
str := strconv.Itoa64(in)
n := len(str)
for i := 1; i <= n; i++ {
if !strings.Contains(str, strconv.Itoa(i)) {
return false
}
}
return true
}



Result: 7652413
Time: 0m15.596s

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