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| 1 | +public class CountNumBinaryStr { |
| 2 | + public static long startTime; |
| 3 | + public static long endTime; |
| 4 | + public static void startAlgo() { |
| 5 | + startTime=System.currentTimeMillis(); |
| 6 | + } |
| 7 | + public static long endAlgo() { |
| 8 | + endTime=System.currentTimeMillis(); |
| 9 | + return endTime-startTime; |
| 10 | + } |
| 11 | + public static int numStrIS(int n) { |
| 12 | + int[] zeros=new int[n]; |
| 13 | + int []ones=new int[n]; |
| 14 | + //seed |
| 15 | + zeros[0]=1; |
| 16 | + ones[0]=1; |
| 17 | + for(int i=1;i<n;i++) { |
| 18 | + zeros[i]=zeros[i-1]+ones[i-1]; |
| 19 | + ones[i]=zeros[i-1]; |
| 20 | + } |
| 21 | + int ans=zeros[n-1]+ones[n-1]; |
| 22 | + return ans; |
| 23 | + } |
| 24 | + private class Binary{ |
| 25 | + int ones; |
| 26 | + int zeros; |
| 27 | + int ans; |
| 28 | + Binary(int ones,int zeros){ |
| 29 | + this.ones=ones; |
| 30 | + this.zeros=zeros; |
| 31 | + this.ans=0; |
| 32 | + } |
| 33 | + Binary(){} |
| 34 | + } |
| 35 | + public Binary numStrR(int n) { |
| 36 | + if(n==1) { |
| 37 | + Binary br=new Binary(1,1); |
| 38 | + return br; |
| 39 | + } |
| 40 | + Binary mr=new Binary(); |
| 41 | + Binary rr=numStrR(n-1); |
| 42 | + mr.zeros=rr.zeros+rr.ones; |
| 43 | + mr.ones=rr.zeros; |
| 44 | + mr.ans=mr.zeros+mr.ones; |
| 45 | + return mr; |
| 46 | + } |
| 47 | + public static int countStrings(int n, int lastDigit) |
| 48 | + { |
| 49 | + if (n == 0) { |
| 50 | + return 0; |
| 51 | + } |
| 52 | + |
| 53 | + // if only one digit is left |
| 54 | + if (n == 1) { |
| 55 | + return (lastDigit == 1) ? 1: 2; |
| 56 | + } |
| 57 | + |
| 58 | + // if last digit is 0, we can have both 0 and 1 at current pos |
| 59 | + if (lastDigit == 0) { |
| 60 | + return countStrings(n - 1, 0) + countStrings(n - 1, 1); |
| 61 | + } |
| 62 | + // if last digit is 1, we can have only 0 at current position |
| 63 | + else { |
| 64 | + return countStrings(n - 1, 0); |
| 65 | + } |
| 66 | + } |
| 67 | + |
| 68 | + |
| 69 | +} |
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