/* * Copyright 2014 Takao Nakaguchi * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package org.trie4j.bv; import java.io.Serializable; import java.util.Arrays; import org.trie4j.util.IntArray; public class LongsSuccinctBitVector implements Serializable, SuccinctBitVector{ public LongsSuccinctBitVector(){ this(16); } public LongsSuccinctBitVector(int initialCapacity){ this.longs = new long[longsSize(initialCapacity)]; this.countCache0 = new int[countCache0Size(initialCapacity)]; this.indexCache0 = new IntArray(initialIndexCache0Size(initialCapacity)); } public LongsSuccinctBitVector(byte[] bytes, int bitsSize){ this.size = bitsSize; this.longs = new long[longsSize(bitsSize)]; this.countCache0 = new int[countCache0Size(bitsSize)]; this.indexCache0 = new IntArray(initialIndexCache0Size(bitsSize)); int n = bytes.length; for(int i = 0; i < n; i++){ int b = bytes[i] & 0xff; longs[i / 8] |= (long)b << ((7 - (i % 8)) * 8); byte[] zeroPosInB = BITPOS0[b]; int rest = bitsSize - i * 8; if(rest < 8){ // 残りより後の0の位置は扱わない int nz = zeroPosInB.length; for(int j = 0; j < nz; j++){ if(zeroPosInB[j] >= rest){ zeroPosInB = Arrays.copyOf(zeroPosInB, j); break; } } } int zeroCount = zeroPosInB.length; if(size0 < 3 && zeroCount > 0){ if(size0 == 0){ node1pos = zeroPosInB[0] + 8 * i; if(zeroPosInB.length > 1) node2pos = zeroPosInB[1] + 8 * i; if(zeroPosInB.length > 2) node3pos = zeroPosInB[2] + 8 * i; } else if(size0 == 1){ node2pos = zeroPosInB[0] + 8 * i; if(zeroPosInB.length > 1) node3pos = zeroPosInB[1] + 8 * i; } else{ node3pos = zeroPosInB[0] + 8 * i; } } int prevSize0 = size0; size0 += zeroCount; if((i + 1) % (BITS_IN_COUNTCACHE0 / 8) == 0){ countCache0[i / (BITS_IN_COUNTCACHE0 / 8)] = size0; } int indexOfIndexBlock = size0 / ZEROBITS_IN_EACH_INDEX; if(zeroCount > 0 && (indexOfIndexBlock != (prevSize0 / ZEROBITS_IN_EACH_INDEX))){ indexCache0.set( indexOfIndexBlock, i * 8 + zeroPosInB[zeroPosInB.length - (size0 % ZEROBITS_IN_EACH_INDEX) - 1]); } if(rest < 8) break; } countCache0[(size - 1) / BITS_IN_COUNTCACHE0] = size0; } public LongsSuccinctBitVector( long[] longs, int size, int size0, int node1pos, int node2pos, int node3pos, int[] countCache0, IntArray indexCache0) { this.longs = longs; this.size = size; this.size0 = size0; this.node1pos = node1pos; this.node2pos = node2pos; this.node3pos = node3pos; this.countCache0 = countCache0; this.indexCache0 = indexCache0; } @Override public String toString() { StringBuilder b = new StringBuilder(); int n = Math.min(size, 64); for(int i = 0; i < n; i++){ long m = 0x8000000000000000L >>> (i % BITS_IN_BLOCK); long bi = longs[(i / BITS_IN_BLOCK)] & m; b.append(bi != 0 ? "1" : "0"); } return b.toString(); } public long[] getLongs(){ return longs; } public int[] getCountCache0(){ return countCache0; } public IntArray getIndexCache0(){ return indexCache0; } @Override public boolean get(int pos) { return isOne(pos); } public boolean isZero(int pos){ return (longs[pos / BITS_IN_BLOCK] & (0x8000000000000000L >>> pos % BITS_IN_BLOCK)) == 0; } public boolean isOne(int pos){ return (longs[pos / BITS_IN_BLOCK] & (0x8000000000000000L >>> pos % BITS_IN_BLOCK)) != 0; } public int size(){ return size; } public int getSize0() { return size0; } public int getNode1pos() { return node1pos; } public int getNode2pos() { return node2pos; } public int getNode3pos() { return node3pos; } public void trimToSize(){ longs = Arrays.copyOf(longs, longsSize(size)); countCache0 = Arrays.copyOf(countCache0, countCache0Size(size)); indexCache0.trimToSize(); } public void append0(){ int longsi = size / BITS_IN_BLOCK; int countCachei = size / BITS_IN_COUNTCACHE0; if(longsi >= longs.length){ extendLongsAndCountCache0(); } if(size % BITS_IN_COUNTCACHE0 == 0 && countCachei > 0){ countCache0[countCachei] = countCache0[countCachei - 1]; } countCache0[countCachei]++; size0++; switch(size0){ case 1: node1pos = size; break; case 2: node2pos = size; break; case 3: node3pos = size; break; } if(size0 % ZEROBITS_IN_EACH_INDEX == 0){ indexCache0.set(size0 / ZEROBITS_IN_EACH_INDEX, size); } size++; } public void append1(){ int longsi = size / BITS_IN_BLOCK; int countCachei = size / BITS_IN_COUNTCACHE0; if(longsi >= longs.length){ extendLongsAndCountCache0(); } if(size % BITS_IN_COUNTCACHE0 == 0 && countCachei > 0){ countCache0[countCachei] = countCache0[countCachei - 1]; } longs[longsi] |= 0x8000000000000000L >>> (size % BITS_IN_BLOCK); size++; } public void append(boolean bit){ if(bit) append1(); else append0(); } public int rank1(int pos){ int cn = pos / BITS_IN_COUNTCACHE0; int ret = (cn > 0) ? cn * BITS_IN_COUNTCACHE0 - countCache0[cn - 1] : 0; int n = pos / BITS_IN_BLOCK; for(int i = (cn * BITS_IN_COUNTCACHE0 / BITS_IN_BLOCK); i < n; i++){ ret += Long.bitCount(longs[i]); } return ret + Long.bitCount(longs[n] & (0x8000000000000000L >> (pos % BITS_IN_BLOCK))); } public int rank0(int pos){ int cn = pos / BITS_IN_COUNTCACHE0; if((pos + 1) % BITS_IN_COUNTCACHE0 == 0) return countCache0[cn]; int ret = (cn > 0) ? countCache0[cn - 1] : 0; int n = pos / BITS_IN_BLOCK; for(int i = (cn * BITS_IN_COUNTCACHE0 / BITS_IN_BLOCK); i < n; i++){ ret += Long.bitCount(~longs[i]); } return ret + Long.bitCount(~longs[n] & (0x8000000000000000L >> (pos % BITS_IN_BLOCK))); } public int rank(int pos, boolean b){ if(b) return rank1(pos); else return rank0(pos); } @Override public int select0(int count) { if(count > size0) return -1; if(count <= 3){ if(count == 1) return node1pos; else if(count == 2) return node2pos; else if(count == 3) return node3pos; else return -1; } int idx = count / ZEROBITS_IN_EACH_INDEX; int start = 0; int end = 0; if(idx < indexCache0.size()){ start = indexCache0.get(idx); if(count % BITS_IN_COUNTCACHE0 == 0) return start; start /= BITS_IN_COUNTCACHE0; if(idx + 1 < indexCache0.size()){ end = indexCache0.get(idx + 1) / BITS_IN_COUNTCACHE0 + 1; } else{ end = countCache0Size(size); } } else if(idx > 0){ start = indexCache0.get(idx - 1) / BITS_IN_COUNTCACHE0; end = Math.min(start + BITS_IN_COUNTCACHE0, countCache0Size(size)); } int m = -1; int d = 0; if(start != end){ do{ m = (start + end) / 2; d = count - countCache0[m]; if(d < 0){ end = m; continue; } else if(d > 0){ if(start != m) start = m; else break; } else{ break; } } while(start != end); if(d > 0){ count = d; } else{ while(m >= 0 && count <= countCache0[m]) m--; if(m >= 0) count -= countCache0[m]; } } int n = longs.length; for(int i = (m + 1) * BITS_IN_COUNTCACHE0 / BITS_IN_BLOCK; i < n; i++){ long v = longs[i]; int c = Long.bitCount(~v); int cd = count - c; if(cd <= 0){ int b = 0, bc = 0; if((v & 0xffff000000000000L) != 0xffff000000000000L){ b = (int)(v >>> 56); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + BITPOS0[b][count + bc - 1]; b = (int)((v >>> 48) & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 8 + BITPOS0[b][count + bc - 1]; } if((v & 0x0000ffff00000000L) != 0x0000ffff00000000L){ b = (int)((v >>> 40) & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 16 + BITPOS0[b][count + bc - 1]; b = (int)((v >>> 32) & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 24 + BITPOS0[b][count + bc - 1]; } if((v & 0x00000000ffff0000L) != 0x00000000ffff0000L){ b = (int)((v >>> 24) & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 32 + BITPOS0[b][count + bc - 1]; b = (int)((v >>> 16) & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 40 + BITPOS0[b][count + bc - 1]; } b = (int)((v >>> 8) & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 48 + BITPOS0[b][count + bc - 1]; b = (int)(v & 0xff); bc = BITCOUNTS0[b]; count -= bc; if(count <= 0) return i * BITS_IN_BLOCK + 56 + BITPOS0[b][count + bc - 1]; /* if((v & 0xffffffff00000000L) == 0xffffffff00000000L){ v <<= 32; for(int j = 32; j < 64; j++){ if(v >= 0){ count--; if(count == 0) return i * BITS_IN_BLOCK + j; } v <<= 1; } } else{ for(int j = 0; j < 64; j++){ if(v >= 0){ count--; if(count == 0) return i * BITS_IN_BLOCK + j; } v <<= 1; } } */ return -1; } count = cd; } return -1; } @Override public int select1(int count) { for(int i = 0; i < longs.length; i++){ if(i * BITS_IN_BLOCK >= size) return -1; long v = longs[i]; int c = Long.bitCount(v); if(count <= c){ for(int j = 0; j < BITS_IN_BLOCK; j++){ if(i * BITS_IN_BLOCK + j >= size) return -1; if((v & 0x8000000000000000L) != 0){ count--; if(count == 0){ return i * BITS_IN_BLOCK + j; } } v <<= 1; } return -1; } count -= c; } return -1; } public int select(int count, boolean b){ if(b) return select1(count); else return select0(count); } public int next0(int pos){ if(pos >= size) return -1; if(pos <= node3pos){ if(pos <= node1pos) return node1pos; else if(pos <= node2pos) return node2pos; else return node3pos; } int longsi = pos / BITS_IN_BLOCK; int s = pos % BITS_IN_BLOCK; int n = longs.length - 1; if(longsi < n){ long v = longs[longsi] << s; for(int i = s; i < BITS_IN_BLOCK; i++){ if(v >= 0) return longsi * BITS_IN_BLOCK + i; v <<= 1; } longsi++; s = 0; for(; longsi < n; longsi++){ v = longs[longsi]; if(Long.bitCount(v) == BITS_IN_BLOCK) continue; for(int i = 0; i < BITS_IN_BLOCK; i++){ if(v >= 0) return longsi * BITS_IN_BLOCK + i; v <<= 1; } } } long v = longs[longsi] << s; if(Long.bitCount(v) != (BITS_IN_BLOCK - s)){ int in = size % BITS_IN_BLOCK; for(int i = s; i < in; i++){ if(v >= 0) return longsi * BITS_IN_BLOCK + i; v <<= 1; } } return -1; } private void extendLongsAndCountCache0(){ int longsSize = (int)(longs.length * 1.2) + 1; longs = Arrays.copyOf(longs, longsSize); countCache0 = Arrays.copyOf(countCache0, countCache0Size(longsSize * BITS_IN_BLOCK)); } private static int longsSize(int bitSize){ if(bitSize == 0) return 0; return (bitSize - 1) / BITS_IN_BLOCK + 1; } private static int countCache0Size(int bitSize){ if(bitSize == 0) return 0; return (bitSize - 1) / BITS_IN_COUNTCACHE0 + 1; } private static int initialIndexCache0Size(int bitSize){ if(bitSize == 0) return 0; return bitSize / 2 / ZEROBITS_IN_EACH_INDEX; } static final int BITS_IN_BLOCK = 64; static final int BITS_IN_COUNTCACHE0 = 1 * 64; static final int ZEROBITS_IN_EACH_INDEX = 1 * 64; private long[] longs; private int size; private int size0; private int node1pos = -1; private int node2pos = -1; private int node3pos = -1; private int[] countCache0; private IntArray indexCache0; private static final byte[] BITCOUNTS0 = { 8, 7, 7, 6, 7, 6, 6, 5, 7, 6, 6, 5, 6, 5, 5, 4, 7, 6, 6, 5, 6, 5, 5, 4, 6, 5, 5, 4, 5, 4, 4, 3, 7, 6, 6, 5, 6, 5, 5, 4, 6, 5, 5, 4, 5, 4, 4, 3, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 7, 6, 6, 5, 6, 5, 5, 4, 6, 5, 5, 4, 5, 4, 4, 3, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 5, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1, 7, 6, 6, 5, 6, 5, 5, 4, 6, 5, 5, 4, 5, 4, 4, 3, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 5, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1, 6, 5, 5, 4, 5, 4, 4, 3, 5, 4, 4, 3, 4, 3, 3, 2, 5, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1, 5, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1, 4, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 0, }; private static final byte[][] BITPOS0 = { {0, 1, 2, 3, 4, 5, 6, 7, }, // 0(0) {0, 1, 2, 3, 4, 5, 6, }, // 1(1) {0, 1, 2, 3, 4, 5, 7, }, // 2(2) {0, 1, 2, 3, 4, 5, }, // 3(3) {0, 1, 2, 3, 4, 6, 7, }, // 4(4) {0, 1, 2, 3, 4, 6, }, // 5(5) {0, 1, 2, 3, 4, 7, }, // 6(6) {0, 1, 2, 3, 4, }, // 7(7) {0, 1, 2, 3, 5, 6, 7, }, // 8(8) {0, 1, 2, 3, 5, 6, }, // 9(9) {0, 1, 2, 3, 5, 7, }, // 10(a) {0, 1, 2, 3, 5, }, // 11(b) {0, 1, 2, 3, 6, 7, }, // 12(c) {0, 1, 2, 3, 6, }, // 13(d) {0, 1, 2, 3, 7, }, // 14(e) {0, 1, 2, 3, }, // 15(f) {0, 1, 2, 4, 5, 6, 7, }, // 16(10) {0, 1, 2, 4, 5, 6, }, // 17(11) {0, 1, 2, 4, 5, 7, }, // 18(12) {0, 1, 2, 4, 5, }, // 19(13) {0, 1, 2, 4, 6, 7, }, // 20(14) {0, 1, 2, 4, 6, }, // 21(15) {0, 1, 2, 4, 7, }, // 22(16) {0, 1, 2, 4, }, // 23(17) {0, 1, 2, 5, 6, 7, }, // 24(18) {0, 1, 2, 5, 6, }, // 25(19) {0, 1, 2, 5, 7, }, // 26(1a) {0, 1, 2, 5, }, // 27(1b) {0, 1, 2, 6, 7, }, // 28(1c) {0, 1, 2, 6, }, // 29(1d) {0, 1, 2, 7, }, // 30(1e) {0, 1, 2, }, // 31(1f) {0, 1, 3, 4, 5, 6, 7, }, // 32(20) {0, 1, 3, 4, 5, 6, }, // 33(21) {0, 1, 3, 4, 5, 7, }, // 34(22) {0, 1, 3, 4, 5, }, // 35(23) {0, 1, 3, 4, 6, 7, }, // 36(24) {0, 1, 3, 4, 6, }, // 37(25) {0, 1, 3, 4, 7, }, // 38(26) {0, 1, 3, 4, }, // 39(27) {0, 1, 3, 5, 6, 7, }, // 40(28) {0, 1, 3, 5, 6, }, // 41(29) {0, 1, 3, 5, 7, }, // 42(2a) {0, 1, 3, 5, }, // 43(2b) {0, 1, 3, 6, 7, }, // 44(2c) {0, 1, 3, 6, }, // 45(2d) {0, 1, 3, 7, }, // 46(2e) {0, 1, 3, }, // 47(2f) {0, 1, 4, 5, 6, 7, }, // 48(30) {0, 1, 4, 5, 6, }, // 49(31) {0, 1, 4, 5, 7, }, // 50(32) {0, 1, 4, 5, }, // 51(33) {0, 1, 4, 6, 7, }, // 52(34) {0, 1, 4, 6, }, // 53(35) {0, 1, 4, 7, }, // 54(36) {0, 1, 4, }, // 55(37) {0, 1, 5, 6, 7, }, // 56(38) {0, 1, 5, 6, }, // 57(39) {0, 1, 5, 7, }, // 58(3a) {0, 1, 5, }, // 59(3b) {0, 1, 6, 7, }, // 60(3c) {0, 1, 6, }, // 61(3d) {0, 1, 7, }, // 62(3e) {0, 1, }, // 63(3f) {0, 2, 3, 4, 5, 6, 7, }, // 64(40) {0, 2, 3, 4, 5, 6, }, // 65(41) {0, 2, 3, 4, 5, 7, }, // 66(42) {0, 2, 3, 4, 5, }, // 67(43) {0, 2, 3, 4, 6, 7, }, // 68(44) {0, 2, 3, 4, 6, }, // 69(45) {0, 2, 3, 4, 7, }, // 70(46) {0, 2, 3, 4, }, // 71(47) {0, 2, 3, 5, 6, 7, }, // 72(48) {0, 2, 3, 5, 6, }, // 73(49) {0, 2, 3, 5, 7, }, // 74(4a) {0, 2, 3, 5, }, // 75(4b) {0, 2, 3, 6, 7, }, // 76(4c) {0, 2, 3, 6, }, // 77(4d) {0, 2, 3, 7, }, // 78(4e) {0, 2, 3, }, // 79(4f) {0, 2, 4, 5, 6, 7, }, // 80(50) {0, 2, 4, 5, 6, }, // 81(51) {0, 2, 4, 5, 7, }, // 82(52) {0, 2, 4, 5, }, // 83(53) {0, 2, 4, 6, 7, }, // 84(54) {0, 2, 4, 6, }, // 85(55) {0, 2, 4, 7, }, // 86(56) {0, 2, 4, }, // 87(57) {0, 2, 5, 6, 7, }, // 88(58) {0, 2, 5, 6, }, // 89(59) {0, 2, 5, 7, }, // 90(5a) {0, 2, 5, }, // 91(5b) {0, 2, 6, 7, }, // 92(5c) {0, 2, 6, }, // 93(5d) {0, 2, 7, }, // 94(5e) {0, 2, }, // 95(5f) {0, 3, 4, 5, 6, 7, }, // 96(60) {0, 3, 4, 5, 6, }, // 97(61) {0, 3, 4, 5, 7, }, // 98(62) {0, 3, 4, 5, }, // 99(63) {0, 3, 4, 6, 7, }, // 100(64) {0, 3, 4, 6, }, // 101(65) {0, 3, 4, 7, }, // 102(66) {0, 3, 4, }, // 103(67) {0, 3, 5, 6, 7, }, // 104(68) {0, 3, 5, 6, }, // 105(69) {0, 3, 5, 7, }, // 106(6a) {0, 3, 5, }, // 107(6b) {0, 3, 6, 7, }, // 108(6c) {0, 3, 6, }, // 109(6d) {0, 3, 7, }, // 110(6e) {0, 3, }, // 111(6f) {0, 4, 5, 6, 7, }, // 112(70) {0, 4, 5, 6, }, // 113(71) {0, 4, 5, 7, }, // 114(72) {0, 4, 5, }, // 115(73) {0, 4, 6, 7, }, // 116(74) {0, 4, 6, }, // 117(75) {0, 4, 7, }, // 118(76) {0, 4, }, // 119(77) {0, 5, 6, 7, }, // 120(78) {0, 5, 6, }, // 121(79) {0, 5, 7, }, // 122(7a) {0, 5, }, // 123(7b) {0, 6, 7, }, // 124(7c) {0, 6, }, // 125(7d) {0, 7, }, // 126(7e) {0, }, // 127(7f) {1, 2, 3, 4, 5, 6, 7, }, // 128(80) {1, 2, 3, 4, 5, 6, }, // 129(81) {1, 2, 3, 4, 5, 7, }, // 130(82) {1, 2, 3, 4, 5, }, // 131(83) {1, 2, 3, 4, 6, 7, }, // 132(84) {1, 2, 3, 4, 6, }, // 133(85) {1, 2, 3, 4, 7, }, // 134(86) {1, 2, 3, 4, }, // 135(87) {1, 2, 3, 5, 6, 7, }, // 136(88) {1, 2, 3, 5, 6, }, // 137(89) {1, 2, 3, 5, 7, }, // 138(8a) {1, 2, 3, 5, }, // 139(8b) {1, 2, 3, 6, 7, }, // 140(8c) {1, 2, 3, 6, }, // 141(8d) {1, 2, 3, 7, }, // 142(8e) {1, 2, 3, }, // 143(8f) {1, 2, 4, 5, 6, 7, }, // 144(90) {1, 2, 4, 5, 6, }, // 145(91) {1, 2, 4, 5, 7, }, // 146(92) {1, 2, 4, 5, }, // 147(93) {1, 2, 4, 6, 7, }, // 148(94) {1, 2, 4, 6, }, // 149(95) {1, 2, 4, 7, }, // 150(96) {1, 2, 4, }, // 151(97) {1, 2, 5, 6, 7, }, // 152(98) {1, 2, 5, 6, }, // 153(99) {1, 2, 5, 7, }, // 154(9a) {1, 2, 5, }, // 155(9b) {1, 2, 6, 7, }, // 156(9c) {1, 2, 6, }, // 157(9d) {1, 2, 7, }, // 158(9e) {1, 2, }, // 159(9f) {1, 3, 4, 5, 6, 7, }, // 160(a0) {1, 3, 4, 5, 6, }, // 161(a1) {1, 3, 4, 5, 7, }, // 162(a2) {1, 3, 4, 5, }, // 163(a3) {1, 3, 4, 6, 7, }, // 164(a4) {1, 3, 4, 6, }, // 165(a5) {1, 3, 4, 7, }, // 166(a6) {1, 3, 4, }, // 167(a7) {1, 3, 5, 6, 7, }, // 168(a8) {1, 3, 5, 6, }, // 169(a9) {1, 3, 5, 7, }, // 170(aa) {1, 3, 5, }, // 171(ab) {1, 3, 6, 7, }, // 172(ac) {1, 3, 6, }, // 173(ad) {1, 3, 7, }, // 174(ae) {1, 3, }, // 175(af) {1, 4, 5, 6, 7, }, // 176(b0) {1, 4, 5, 6, }, // 177(b1) {1, 4, 5, 7, }, // 178(b2) {1, 4, 5, }, // 179(b3) {1, 4, 6, 7, }, // 180(b4) {1, 4, 6, }, // 181(b5) {1, 4, 7, }, // 182(b6) {1, 4, }, // 183(b7) {1, 5, 6, 7, }, // 184(b8) {1, 5, 6, }, // 185(b9) {1, 5, 7, }, // 186(ba) {1, 5, }, // 187(bb) {1, 6, 7, }, // 188(bc) {1, 6, }, // 189(bd) {1, 7, }, // 190(be) {1, }, // 191(bf) {2, 3, 4, 5, 6, 7, }, // 192(c0) {2, 3, 4, 5, 6, }, // 193(c1) {2, 3, 4, 5, 7, }, // 194(c2) {2, 3, 4, 5, }, // 195(c3) {2, 3, 4, 6, 7, }, // 196(c4) {2, 3, 4, 6, }, // 197(c5) {2, 3, 4, 7, }, // 198(c6) {2, 3, 4, }, // 199(c7) {2, 3, 5, 6, 7, }, // 200(c8) {2, 3, 5, 6, }, // 201(c9) {2, 3, 5, 7, }, // 202(ca) {2, 3, 5, }, // 203(cb) {2, 3, 6, 7, }, // 204(cc) {2, 3, 6, }, // 205(cd) {2, 3, 7, }, // 206(ce) {2, 3, }, // 207(cf) {2, 4, 5, 6, 7, }, // 208(d0) {2, 4, 5, 6, }, // 209(d1) {2, 4, 5, 7, }, // 210(d2) {2, 4, 5, }, // 211(d3) {2, 4, 6, 7, }, // 212(d4) {2, 4, 6, }, // 213(d5) {2, 4, 7, }, // 214(d6) {2, 4, }, // 215(d7) {2, 5, 6, 7, }, // 216(d8) {2, 5, 6, }, // 217(d9) {2, 5, 7, }, // 218(da) {2, 5, }, // 219(db) {2, 6, 7, }, // 220(dc) {2, 6, }, // 221(dd) {2, 7, }, // 222(de) {2, }, // 223(df) {3, 4, 5, 6, 7, }, // 224(e0) {3, 4, 5, 6, }, // 225(e1) {3, 4, 5, 7, }, // 226(e2) {3, 4, 5, }, // 227(e3) {3, 4, 6, 7, }, // 228(e4) {3, 4, 6, }, // 229(e5) {3, 4, 7, }, // 230(e6) {3, 4, }, // 231(e7) {3, 5, 6, 7, }, // 232(e8) {3, 5, 6, }, // 233(e9) {3, 5, 7, }, // 234(ea) {3, 5, }, // 235(eb) {3, 6, 7, }, // 236(ec) {3, 6, }, // 237(ed) {3, 7, }, // 238(ee) {3, }, // 239(ef) {4, 5, 6, 7, }, // 240(f0) {4, 5, 6, }, // 241(f1) {4, 5, 7, }, // 242(f2) {4, 5, }, // 243(f3) {4, 6, 7, }, // 244(f4) {4, 6, }, // 245(f5) {4, 7, }, // 246(f6) {4, }, // 247(f7) {5, 6, 7, }, // 248(f8) {5, 6, }, // 249(f9) {5, 7, }, // 250(fa) {5, }, // 251(fb) {6, 7, }, // 252(fc) {6, }, // 253(fd) {7, }, // 254(fe) {}, // 255(ff) }; private static final long serialVersionUID = -7658605229245494623L; }