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| 1 | +package _20160910_4th_contest; |
| 2 | + |
| 3 | +import java.util.HashSet; |
| 4 | +import java.util.Iterator; |
| 5 | +import java.util.LinkedList; |
| 6 | +import java.util.Queue; |
| 7 | +import java.util.Set; |
| 8 | + |
| 9 | +public class IntegerReplacement { |
| 10 | + public static int integerReplacement_failed(int n) { |
| 11 | + if(n == 1) return 0; |
| 12 | + int steps = 0; |
| 13 | + while(n != 1){ |
| 14 | + if(n%2 == 1 && n > 1) { |
| 15 | + n -= 1; |
| 16 | + steps++; |
| 17 | + } |
| 18 | + |
| 19 | + n /= 2; |
| 20 | + steps++; |
| 21 | + } |
| 22 | + return steps; |
| 23 | + } |
| 24 | + |
| 25 | + public static int integerReplacement_failed_2(int n) { |
| 26 | + if(n == 1) return 0; |
| 27 | + int temp = 2, steps = 1; |
| 28 | + while(temp <= n){ |
| 29 | + temp *= 2; |
| 30 | + steps++; |
| 31 | + |
| 32 | + if(temp%2 == 1){ |
| 33 | + temp += 1; |
| 34 | + steps++; |
| 35 | + } |
| 36 | + } |
| 37 | + return steps; |
| 38 | + } |
| 39 | + |
| 40 | + public static int integerReplacement(int n) { |
| 41 | + long min = Long.MAX_VALUE; |
| 42 | + Set<long[]> set = new HashSet(); |
| 43 | + Queue<long[]> q = new LinkedList(); |
| 44 | + long[] pair = new long[]{n, 0}; |
| 45 | + q.offer(pair); |
| 46 | + while(!q.isEmpty()){ |
| 47 | + int size = q.size(); |
| 48 | + for(int i = 0; i < size; i++){ |
| 49 | + long[] curr = q.poll(); |
| 50 | + if(curr[0] == 1) set.add(curr); |
| 51 | + else { |
| 52 | + |
| 53 | + if (curr[0] % 2 == 0) { |
| 54 | + curr[0] /= 2; |
| 55 | + curr[1]++; |
| 56 | + q.offer(curr); |
| 57 | + } else { |
| 58 | + long[] minus = new long[2]; |
| 59 | + minus[0] = curr[0] - 1; |
| 60 | + minus[1] = curr[1] + 1; |
| 61 | + q.offer(minus); |
| 62 | + |
| 63 | + long[] plus = new long[2]; |
| 64 | + plus[0] = curr[0] + 1; |
| 65 | + plus[1] = curr[1] + 1; |
| 66 | + q.offer(plus); |
| 67 | + } |
| 68 | + } |
| 69 | + } |
| 70 | + } |
| 71 | + |
| 72 | + Iterator<long[]> it = set.iterator(); |
| 73 | + while(it.hasNext()){ |
| 74 | + min = Math.min(min, it.next()[1]); |
| 75 | + } |
| 76 | + return (int) min; |
| 77 | + } |
| 78 | + |
| 79 | + public static void main(String...strings){ |
| 80 | + System.out.println(integerReplacement(2147483647)); |
| 81 | + System.out.println(integerReplacement(65535));//should be 17 |
| 82 | + System.out.println(integerReplacement(1234));//should be 14 |
| 83 | +// System.out.println(integerReplacement(1)); |
| 84 | +// System.out.println(integerReplacement(2)); |
| 85 | +// System.out.println(integerReplacement(3)); |
| 86 | + System.out.println(integerReplacement(5));//should be 3 |
| 87 | +// System.out.println(integerReplacement(7)); |
| 88 | + } |
| 89 | +} |
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