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1 | 1 | package problems.onsearching;
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2 | 2 |
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3 | 3 | public class RoatetedArray {
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| 4 | + static class Solution { |
| 5 | + |
| 6 | + public int searchasc(int[] a, int key, int l, int h) { |
| 7 | + // int l = 0; |
| 8 | + // int h = a.length-1; |
| 9 | + if (l >= 0 && h < a.length) { |
| 10 | + while (l <= h) { |
| 11 | + int m = l + (h - l) / 2; |
| 12 | + if (a[m] == key) { |
| 13 | + return m; |
| 14 | + } else if (a[m] > key) { |
| 15 | + h = m - 1; |
| 16 | + } else { |
| 17 | + l = m + 1; |
| 18 | + } |
| 19 | + } |
| 20 | + |
| 21 | + } |
| 22 | + return -1; |
| 23 | + } |
| 24 | + |
| 25 | + public int searchdesc(int[] a, int key, int l, int h) { |
| 26 | + // int l = 0; |
| 27 | + // int h = a.length-1; |
| 28 | + if (l >= 0 && h <= a.length) { |
| 29 | + while (l <= h) { |
| 30 | + int m = l + (h - l) / 2; |
| 31 | + if (a[m] == key) { |
| 32 | + return m; |
| 33 | + } else if (a[m] > key) { |
| 34 | + l = m + 1; |
| 35 | + } else { |
| 36 | + h = m - 1; |
| 37 | + } |
| 38 | + } |
| 39 | + |
| 40 | + } |
| 41 | + return -1; |
| 42 | + } |
| 43 | + |
| 44 | + public int piv(final int[] a, int key) { |
| 45 | + int l = 0; |
| 46 | + int h = a.length - 1; |
| 47 | + while (l <= h) { |
| 48 | + int m = l + (h - l) / 2; |
| 49 | + if ((m > 0 && a[m - 1] < a[m]) && (m + 1 < a.length && a[m] > a[m + 1])) { |
| 50 | + return m; |
| 51 | + } else if (a[m] >= a[l]) { |
| 52 | + l = m + 1; |
| 53 | + } else { |
| 54 | + h = m - 1; |
| 55 | + } |
| 56 | + } |
| 57 | + return -1; |
| 58 | + } |
| 59 | + |
| 60 | + public int search(final int[] a, int key) { |
| 61 | + int pivot = piv(a, key); |
| 62 | + int asc = searchdesc(a, key, 0, Math.max(0, pivot - 1)); |
| 63 | + if (asc > 0) return asc; |
| 64 | + int desc = searchasc(a, key, Math.max(pivot, 0), a.length - 1); |
| 65 | + return Math.max(-1, desc); |
| 66 | + } |
| 67 | + |
| 68 | + |
| 69 | + public int pivEle(final int[] a) { |
| 70 | + int l = 0; |
| 71 | + int h = a.length - 1; |
| 72 | + while (l <= h) { |
| 73 | + int m = l + (h - l) / 2; |
| 74 | + if ((m > 0 && a[m - 1] < a[m]) && (m + 1 < a.length && a[m] > a[m + 1])) { |
| 75 | + return a[m]; |
| 76 | + } else if (a[m] >= a[l]) { |
| 77 | + l = m + 1; |
| 78 | + } else { |
| 79 | + h = m - 1; |
| 80 | + } |
| 81 | + } |
| 82 | + return -1; |
| 83 | + } |
| 84 | + |
| 85 | + |
| 86 | + public int solve(int[] a) { |
| 87 | + if (a.length == 1) return a[0]; |
| 88 | + int piv = pivEle(a); |
| 89 | + if (piv > 0) return piv; |
| 90 | + if (a[0] > a[1]) return a[0]; |
| 91 | + return a[a.length - 1]; |
| 92 | + |
| 93 | + } |
| 94 | + |
| 95 | + |
| 96 | + public int searchmat(int[][] a, int key) { |
| 97 | + int l = 0; |
| 98 | + int h = a.length - 1; |
| 99 | + if (l >= 0 && h < a.length) { |
| 100 | + while (l <= h) { |
| 101 | + int m = l + (h - l) / 2; |
| 102 | + if( a[m][0] == key || (a[m][0] < key && a[m][a[m].length-1] >=key)) { |
| 103 | + return m; |
| 104 | + } else if (a[m][0] > key) { |
| 105 | + h = m - 1; |
| 106 | + } else { |
| 107 | + l = m + 1; |
| 108 | + } |
| 109 | + } |
| 110 | + |
| 111 | + } |
| 112 | + return Math.min(l,a.length-1); |
| 113 | + } |
| 114 | + |
| 115 | + public int searchmatrow(int[][] a, int key, int rowno) { |
| 116 | + int l = 0; |
| 117 | + int h = a[0].length - 1; |
| 118 | + while (l <= h) { |
| 119 | + int m = l + (h - l) / 2; |
| 120 | + if (a[rowno][m] == key) { |
| 121 | + return m; |
| 122 | + } else if (a[rowno][m] > key) { |
| 123 | + h = m - 1; |
| 124 | + } else { |
| 125 | + l = m + 1; |
| 126 | + } |
| 127 | + } |
| 128 | + |
| 129 | + return -1; |
| 130 | + } |
| 131 | + |
| 132 | + public int search2power(long key) { |
| 133 | + long l = 0; |
| 134 | + long h = 100000; |
| 135 | + while (l <= h) { |
| 136 | + long m = l + (h - l) / 2; |
| 137 | + long blocks = (m*(m+1))/2; |
| 138 | + if (blocks == key) { |
| 139 | + return (int)m; |
| 140 | + } else if (blocks > key) { |
| 141 | + h = m - 1; |
| 142 | + } else { |
| 143 | + l = m + 1; |
| 144 | + } |
| 145 | + } |
| 146 | + return (int) (l*(l+1)/2 > key ? l-1:l); |
| 147 | + } |
| 148 | + |
| 149 | + } |
| 150 | + |
| 151 | + //2 |
| 152 | + |
| 153 | + |
| 154 | + public static void main(String[] args) { |
| 155 | + Solution solution = new Solution(); |
| 156 | + int[][] m = {{3, 3, 11, 12, 14}, |
| 157 | + {16, 17, 30, 34, 35}, |
| 158 | + {45, 48, 49, 50, 52}, |
| 159 | + {56, 59, 63, 63, 65}, |
| 160 | + {67, 71, 72, 73, 79}, |
| 161 | + {80, 84, 85, 85, 88}, |
| 162 | + {88, 91, 92, 93, 94}}; |
| 163 | + |
| 164 | +// System.out.println(solution.searchmat(m,94)); |
| 165 | +// System.out.println(solution.searchmatrow(m,94,solution.searchmat(m, 94))); |
| 166 | + |
| 167 | + System.out.println(solution.search2power(1000000000)); |
| 168 | + |
| 169 | + } |
4 | 170 | }
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