考虑一个从1到N的整数的随机列表。您只想使用以下操作对其进行排序:
- 交换第一个和最后一个列表元素。(S)
- 弹出第一个元素并将其附加到列表的末尾。(P)
这总是可能的,因为任何列表都可以通过相邻元素的足够交换来排序。使用S和P可以交换任何相邻的元素,方法是调用P直到有问题的两个元素是列表中的第一和最后一个项目,然后调用S交换它们,然后再次调用P直到它们在原始索引中(现在已交换) )。
但是,就S和P操作的数量而言,此方法对于大多数列表而言不太可能是最佳方法。
挑战
编写一个程序或函数,将数字从1排列到N(N> 1)。它可以作为列表或字符串或任何方便的形式给出。它应该输出一个S和P序列,当从左到右应用该序列时将对排列进行排序。此序列不必最佳地短,但是最好短一些(请参阅评分)。
例
如果输入是[2, 1, 3]
输出,则可能是SP
因为
- 应用型,以
[2, 1, 3]
使得它[3, 1, 2]
, - 和P应用于
[3, 1, 2]
使它[1, 2, 3]
,它被排序。
验证者
该堆栈片段可用于验证序列是否确实对列表进行了排序。该列表应带有方括号,并以逗号分隔。SP序列只是一个字符串“ S
”和P
“”。
<style>*{font-family:monospace}</style><script>function swap(list) {var tmp = list[0];list[0] = list[list.length - 1];list[list.length - 1] = tmp;}function pop(list) {list.push(list.shift())}function check() {var result = 'Sorted sucessfully.';var details = '';try {var list = eval(document.getElementById('list').value);var seq = document.getElementById('seq').value;details += 'Sequence: ' + seq + '<br>Steps:<br>' + list + ' <-- original';for(var i = 0; i < seq.length; i++) {if (seq.charAt(i) == 'S')swap(list);else if (seq.charAt(i) == 'P')pop(list);details += ' (' + i + ')<br>' + list;}details += ' <-- final (' + i + ')';for(var i = 1; i < list.length; i++) {if (list[i-1] > list[i]) {result = 'Sorting failed!';break;}}} catch(e) {result = 'Error: ' + e;}document.getElementById('result').innerHTML = result;document.getElementById('details').innerHTML = details;}</script><p>List<br><input id='list'type='text'size='60'value='[2, 1, 3]'></p><p>SP Sequence<br><textarea id='seq'rows='1'cols='60'>SP</textarea><br></p><button type='button'onclick='check()'>Check</button><p id='result'></p><p id='details'></p>
计分
对于N = 2到256,您的算法必须产生正确但可能不是最佳的SP序列。对于此范围内的任何排列,它必须在一台像样的现代计算机上运行少于5分钟。
您的分数是算法对下面提供的所有30个列表进行排序所需的S和P操作总数。最低分获胜。
您可能没有对程序进行硬编码以适合此数据。如果有必要,我可以添加更多测试数据来确定获胜者。
1. Length 3
[2, 1, 3]
2. Length 7
[2, 7, 5, 3, 4, 6, 1]
3. Length 41
[7, 12, 17, 2, 14, 15, 33, 20, 37, 18, 9, 25, 41, 26, 39, 29, 16, 5, 23, 24, 35, 38, 32, 6, 11, 21, 27, 8, 40, 3, 10, 36, 13, 30, 31, 28, 1, 4, 19, 22, 34]
4. Length 52
[19, 49, 34, 26, 38, 3, 14, 37, 21, 39, 46, 29, 18, 6, 15, 25, 28, 47, 22, 41, 32, 51, 50, 5, 45, 4, 30, 44, 10, 43, 20, 17, 13, 36, 48, 27, 35, 24, 8, 12, 40, 2, 1, 16, 7, 31, 23, 33, 42, 52, 9, 11]
5. Length 65
[12, 53, 4, 5, 17, 32, 58, 54, 18, 43, 21, 26, 51, 45, 9, 2, 35, 28, 40, 61, 57, 27, 62, 39, 24, 59, 36, 25, 20, 33, 63, 56, 64, 47, 38, 7, 13, 34, 16, 30, 49, 22, 37, 3, 48, 11, 52, 1, 29, 42, 50, 23, 6, 8, 60, 65, 46, 10, 41, 31, 44, 15, 14, 19, 55]
6. Length 69
[58, 15, 63, 18, 24, 59, 26, 37, 44, 67, 14, 52, 2, 31, 68, 54, 32, 17, 55, 50, 42, 56, 65, 29, 13, 41, 7, 45, 53, 35, 21, 39, 61, 23, 49, 12, 60, 46, 27, 57, 28, 40, 10, 69, 1, 6, 19, 62, 8, 30, 64, 34, 3, 43, 38, 20, 25, 33, 66, 47, 4, 36, 16, 11, 5, 22, 51, 48, 9]
7. Length 75
[14, 69, 1, 43, 32, 42, 59, 37, 70, 63, 57, 60, 56, 73, 67, 6, 11, 36, 31, 22, 40, 7, 21, 35, 50, 64, 28, 41, 18, 17, 75, 54, 51, 19, 68, 33, 45, 61, 66, 52, 49, 65, 4, 72, 23, 34, 9, 15, 38, 16, 3, 71, 29, 30, 48, 53, 10, 8, 13, 47, 20, 55, 74, 27, 25, 62, 46, 24, 44, 39, 2, 26, 58, 12, 5]
8. Length 80
[3, 65, 44, 14, 19, 6, 11, 29, 79, 35, 42, 16, 68, 7, 62, 30, 38, 46, 15, 9, 75, 5, 52, 32, 22, 70, 64, 13, 21, 47, 10, 4, 55, 40, 45, 56, 77, 27, 23, 72, 17, 71, 53, 20, 18, 25, 73, 59, 36, 34, 37, 57, 1, 69, 24, 58, 33, 76, 2, 12, 49, 61, 78, 67, 66, 63, 50, 80, 28, 48, 26, 51, 41, 60, 31, 54, 39, 8, 74, 43]
9. Length 103
[40, 62, 53, 6, 32, 85, 8, 83, 33, 29, 87, 93, 22, 37, 80, 12, 74, 69, 64, 9, 18, 98, 17, 45, 60, 38, 10, 103, 19, 5, 54, 15, 90, 100, 79, 91, 46, 82, 43, 31, 51, 96, 30, 70, 76, 16, 55, 77, 11, 65, 58, 75, 61, 3, 28, 24, 101, 20, 41, 72, 86, 56, 35, 50, 78, 27, 67, 95, 44, 68, 48, 26, 39, 97, 21, 49, 102, 73, 63, 7, 71, 52, 1, 88, 34, 42, 14, 47, 36, 99, 4, 13, 94, 89, 59, 92, 57, 25, 23, 66, 81, 2, 84]
10. Length 108
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108]
11. Length 109
[48, 89, 25, 64, 8, 69, 81, 98, 107, 61, 106, 63, 59, 50, 83, 24, 86, 68, 100, 104, 56, 88, 46, 62, 94, 4, 47, 33, 19, 1, 77, 102, 9, 30, 44, 26, 16, 80, 67, 75, 70, 96, 108, 45, 79, 51, 12, 38, 73, 37, 65, 31, 60, 22, 28, 3, 43, 71, 105, 91, 93, 101, 13, 97, 29, 72, 82, 87, 27, 5, 17, 10, 34, 84, 53, 15, 78, 41, 85, 6, 14, 57, 76, 7, 23, 99, 32, 95, 49, 2, 21, 109, 74, 39, 11, 103, 18, 90, 35, 40, 58, 20, 55, 52, 36, 54, 42, 92, 66]
12. Length 151
[61, 7, 8, 79, 78, 4, 48, 13, 14, 117, 12, 96, 130, 118, 63, 110, 72, 57, 86, 126, 62, 10, 29, 102, 99, 28, 56, 135, 11, 151, 141, 97, 45, 109, 38, 150, 40, 149, 52, 140, 106, 80, 66, 134, 125, 137, 31, 85, 68, 94, 36, 26, 95, 92, 49, 25, 120, 148, 33, 73, 41, 100, 58, 127, 60, 122, 133, 9, 19, 81, 59, 55, 103, 146, 42, 21, 128, 75, 101, 82, 50, 142, 131, 76, 20, 69, 139, 83, 16, 64, 17, 124, 90, 138, 37, 1, 34, 43, 129, 77, 23, 35, 144, 121, 113, 115, 114, 67, 98, 70, 145, 104, 71, 5, 119, 6, 18, 88, 116, 111, 132, 39, 89, 24, 15, 107, 27, 65, 30, 47, 143, 93, 53, 108, 2, 74, 123, 44, 51, 54, 87, 147, 84, 3, 112, 46, 32, 91, 136, 22, 105]
13. Length 173
[93, 14, 141, 125, 64, 30, 24, 85, 44, 68, 91, 22, 103, 155, 117, 114, 123, 51, 131, 72, 67, 61, 5, 41, 10, 20, 129, 86, 154, 108, 161, 2, 82, 153, 96, 50, 136, 121, 128, 126, 120, 111, 89, 113, 104, 84, 18, 109, 42, 83, 162, 124, 173, 116, 12, 54, 52, 39, 122, 49, 46, 1, 130, 71, 152, 73, 56, 34, 149, 75, 133, 8, 74, 45, 88, 23, 7, 60, 115, 134, 53, 119, 106, 81, 112, 31, 35, 172, 159, 38, 59, 69, 142, 146, 110, 170, 160, 166, 43, 58, 4, 107, 78, 156, 47, 33, 145, 63, 163, 27, 70, 77, 36, 16, 100, 26, 19, 151, 57, 32, 15, 13, 40, 169, 98, 132, 135, 62, 66, 90, 102, 171, 99, 148, 80, 144, 147, 168, 94, 143, 17, 3, 140, 97, 11, 65, 55, 92, 95, 127, 167, 150, 87, 118, 28, 137, 9, 29, 105, 157, 25, 165, 158, 21, 164, 101, 79, 76, 6, 138, 48, 37, 139]
14. Length 177
[68, 117, 61, 159, 110, 148, 3, 20, 169, 145, 136, 1, 120, 109, 21, 58, 52, 97, 65, 168, 34, 134, 111, 176, 13, 156, 172, 53, 55, 124, 177, 88, 92, 23, 72, 26, 104, 121, 133, 73, 39, 140, 25, 71, 119, 158, 146, 128, 18, 94, 113, 45, 60, 96, 30, 5, 116, 153, 90, 115, 67, 80, 112, 154, 9, 17, 10, 33, 81, 38, 95, 118, 35, 160, 151, 150, 76, 77, 14, 147, 173, 135, 162, 114, 27, 100, 167, 74, 69, 165, 108, 79, 91, 48, 105, 125, 129, 75, 93, 11, 12, 64, 24, 170, 142, 98, 44, 37, 43, 78, 16, 28, 166, 155, 138, 164, 122, 163, 107, 130, 86, 56, 2, 161, 63, 126, 131, 144, 82, 106, 103, 32, 132, 54, 41, 171, 70, 85, 19, 143, 137, 87, 84, 66, 99, 102, 15, 49, 123, 175, 89, 51, 141, 62, 50, 36, 152, 47, 42, 8, 7, 46, 29, 22, 149, 139, 4, 40, 83, 6, 59, 57, 174, 31, 127, 101, 157]
15. Length 192
[82, 130, 189, 21, 169, 147, 160, 66, 133, 153, 143, 116, 49, 13, 63, 61, 94, 164, 35, 112, 141, 62, 87, 171, 19, 3, 93, 83, 149, 64, 34, 170, 129, 182, 101, 77, 14, 91, 145, 23, 32, 92, 187, 54, 184, 120, 109, 159, 27, 44, 60, 103, 134, 52, 122, 33, 78, 88, 108, 45, 15, 79, 137, 80, 161, 69, 6, 139, 110, 67, 43, 190, 152, 59, 173, 125, 168, 37, 151, 132, 1, 178, 20, 114, 119, 144, 25, 146, 42, 136, 162, 123, 31, 107, 131, 127, 51, 105, 2, 65, 28, 102, 76, 24, 135, 174, 9, 111, 98, 39, 74, 142, 70, 121, 154, 38, 113, 75, 40, 86, 100, 106, 181, 117, 95, 85, 138, 41, 167, 172, 4, 186, 17, 16, 104, 71, 81, 73, 57, 8, 140, 118, 158, 12, 148, 53, 29, 185, 18, 150, 22, 188, 72, 128, 84, 96, 47, 192, 126, 56, 163, 50, 157, 165, 97, 166, 180, 7, 46, 30, 191, 124, 5, 48, 175, 68, 36, 89, 177, 11, 176, 183, 99, 90, 55, 26, 10, 58, 115, 155, 179, 156]
16. Length 201
[23, 8, 58, 24, 19, 87, 98, 187, 17, 130, 116, 141, 129, 166, 29, 191, 81, 105, 137, 171, 39, 67, 46, 150, 102, 26, 163, 183, 170, 72, 160, 43, 9, 197, 189, 173, 196, 68, 100, 16, 93, 175, 74, 28, 133, 122, 27, 79, 107, 162, 62, 192, 108, 104, 97, 12, 60, 155, 161, 82, 167, 158, 149, 30, 124, 22, 168, 115, 134, 94, 34, 184, 127, 121, 177, 112, 142, 95, 164, 41, 59, 55, 143, 85, 176, 3, 156, 148, 153, 42, 180, 145, 78, 147, 119, 109, 139, 178, 61, 181, 136, 157, 91, 84, 47, 71, 70, 118, 18, 63, 80, 56, 123, 194, 117, 195, 152, 66, 48, 11, 99, 201, 128, 151, 138, 64, 21, 131, 159, 103, 75, 49, 169, 113, 53, 114, 69, 54, 165, 38, 101, 76, 200, 199, 140, 125, 193, 88, 32, 51, 126, 14, 13, 77, 52, 50, 198, 172, 5, 92, 96, 15, 106, 182, 31, 83, 120, 57, 135, 65, 7, 154, 20, 25, 45, 1, 6, 73, 40, 174, 132, 10, 111, 186, 190, 4, 36, 188, 185, 146, 44, 110, 179, 2, 90, 86, 35, 37, 33, 89, 144]
17. Length 201
[97, 146, 168, 5, 56, 147, 189, 92, 154, 13, 185, 109, 45, 126, 17, 10, 53, 98, 88, 41, 163, 99, 157, 35, 125, 34, 173, 171, 138, 104, 149, 172, 60, 183, 36, 65, 32, 180, 87, 167, 59, 84, 188, 11, 69, 57, 174, 61, 66, 7, 8, 111, 91, 58, 128, 94, 141, 139, 31, 78, 156, 70, 16, 162, 26, 33, 106, 175, 103, 21, 164, 110, 159, 80, 200, 82, 123, 144, 44, 148, 4, 55, 179, 184, 186, 124, 63, 107, 54, 112, 137, 165, 121, 25, 132, 196, 90, 89, 71, 160, 95, 117, 197, 37, 108, 39, 115, 12, 52, 119, 120, 79, 29, 49, 93, 22, 122, 161, 76, 38, 72, 169, 85, 178, 77, 105, 190, 100, 9, 86, 177, 194, 2, 136, 114, 51, 68, 19, 47, 195, 113, 193, 67, 96, 182, 170, 50, 83, 143, 166, 3, 192, 24, 127, 140, 176, 134, 158, 116, 199, 1, 135, 118, 145, 14, 15, 155, 48, 42, 73, 46, 102, 191, 28, 201, 181, 75, 133, 153, 6, 131, 130, 81, 20, 198, 64, 142, 150, 27, 101, 18, 30, 40, 23, 129, 43, 62, 187, 152, 151, 74]
18. Length 205
[161, 197, 177, 118, 94, 112, 13, 190, 200, 166, 127, 80, 115, 204, 186, 60, 50, 97, 175, 32, 26, 65, 16, 4, 55, 120, 143, 187, 121, 29, 18, 82, 17, 21, 144, 20, 88, 195, 99, 67, 203, 23, 176, 126, 137, 77, 70, 30, 103, 182, 113, 119, 36, 47, 90, 98, 54, 3, 49, 105, 57, 135, 153, 142, 174, 155, 158, 11, 157, 22, 171, 110, 28, 196, 129, 163, 79, 63, 38, 145, 140, 2, 128, 180, 106, 59, 25, 184, 81, 164, 95, 39, 68, 78, 178, 156, 72, 51, 202, 66, 48, 101, 71, 108, 130, 5, 107, 147, 199, 12, 27, 150, 167, 91, 64, 170, 191, 151, 149, 168, 34, 125, 188, 181, 139, 58, 75, 189, 124, 152, 183, 7, 111, 89, 84, 52, 141, 83, 69, 62, 73, 43, 123, 14, 179, 162, 114, 138, 117, 159, 74, 85, 10, 96, 86, 31, 132, 1, 104, 109, 45, 165, 148, 172, 154, 92, 173, 40, 19, 56, 37, 205, 44, 193, 122, 185, 93, 133, 53, 9, 169, 6, 61, 136, 46, 76, 33, 15, 116, 198, 160, 194, 131, 41, 42, 35, 146, 134, 192, 8, 87, 201, 100, 24, 102]
19. Length 211
[200, 36, 204, 198, 190, 161, 57, 108, 180, 203, 135, 48, 134, 47, 158, 10, 41, 11, 23, 127, 167, 121, 109, 211, 201, 1, 42, 40, 86, 104, 147, 139, 145, 101, 144, 166, 176, 92, 118, 54, 182, 30, 58, 123, 124, 67, 125, 154, 187, 168, 103, 17, 72, 98, 12, 184, 59, 87, 174, 93, 45, 116, 73, 69, 74, 80, 56, 14, 34, 85, 38, 185, 165, 110, 164, 151, 43, 192, 62, 4, 140, 170, 197, 111, 173, 141, 65, 77, 70, 136, 206, 83, 100, 148, 25, 183, 209, 189, 150, 33, 46, 16, 64, 114, 71, 102, 91, 39, 177, 196, 169, 128, 129, 44, 75, 188, 146, 26, 84, 138, 162, 194, 105, 37, 35, 88, 156, 130, 193, 19, 179, 82, 106, 181, 153, 28, 53, 21, 195, 66, 159, 115, 113, 112, 191, 172, 63, 143, 178, 94, 160, 186, 31, 29, 90, 68, 205, 155, 119, 117, 157, 107, 60, 79, 171, 149, 6, 24, 27, 50, 51, 126, 15, 133, 2, 131, 7, 49, 207, 163, 18, 120, 199, 61, 52, 32, 208, 20, 210, 13, 78, 55, 137, 202, 152, 8, 81, 76, 9, 97, 22, 99, 132, 95, 122, 89, 175, 5, 3, 96, 142]
20. Length 226
[204, 79, 88, 98, 197, 32, 40, 117, 153, 167, 29, 74, 170, 115, 127, 210, 22, 109, 65, 47, 41, 132, 110, 158, 192, 99, 96, 224, 190, 143, 33, 225, 195, 19, 70, 73, 54, 161, 75, 179, 181, 207, 26, 221, 66, 130, 152, 131, 30, 35, 155, 69, 68, 38, 129, 95, 116, 214, 7, 186, 62, 27, 212, 125, 216, 86, 148, 164, 141, 4, 140, 222, 16, 46, 12, 215, 78, 219, 211, 134, 118, 171, 121, 52, 123, 56, 220, 15, 25, 100, 137, 163, 51, 91, 10, 83, 55, 187, 182, 201, 149, 160, 8, 14, 218, 77, 3, 184, 114, 43, 122, 135, 142, 104, 120, 198, 45, 108, 85, 189, 151, 175, 136, 165, 226, 97, 124, 200, 60, 172, 20, 67, 1, 174, 87, 102, 119, 188, 223, 199, 103, 89, 49, 213, 57, 9, 101, 112, 36, 176, 194, 92, 145, 180, 168, 111, 94, 178, 39, 166, 193, 17, 2, 154, 58, 156, 217, 13, 80, 202, 206, 169, 107, 177, 144, 205, 139, 93, 34, 64, 106, 150, 146, 126, 185, 208, 63, 203, 105, 18, 191, 53, 183, 209, 6, 23, 84, 5, 61, 59, 162, 128, 37, 50, 28, 159, 173, 196, 24, 31, 72, 138, 82, 48, 133, 147, 42, 113, 81, 90, 71, 21, 11, 157, 76, 44]
21. Length 227
[197, 52, 91, 42, 29, 113, 82, 68, 147, 225, 80, 167, 117, 142, 140, 216, 65, 195, 97, 61, 133, 209, 214, 58, 152, 71, 56, 182, 201, 163, 227, 186, 63, 171, 207, 102, 161, 136, 224, 146, 92, 175, 45, 217, 6, 99, 20, 119, 210, 93, 77, 211, 21, 70, 90, 96, 115, 100, 183, 173, 69, 98, 172, 75, 111, 203, 19, 129, 35, 155, 74, 37, 23, 51, 192, 212, 33, 64, 59, 194, 112, 135, 1, 184, 5, 166, 185, 84, 199, 138, 144, 86, 128, 26, 190, 73, 179, 27, 118, 223, 46, 95, 159, 153, 226, 25, 180, 132, 189, 60, 32, 208, 123, 89, 87, 22, 181, 143, 47, 18, 198, 219, 156, 148, 193, 122, 110, 28, 106, 39, 30, 103, 4, 176, 114, 3, 131, 107, 204, 218, 141, 169, 16, 206, 36, 188, 174, 54, 94, 50, 205, 104, 170, 160, 72, 165, 78, 24, 222, 8, 108, 81, 76, 15, 13, 126, 79, 7, 105, 125, 162, 83, 41, 145, 139, 66, 127, 38, 12, 187, 130, 221, 48, 164, 191, 157, 88, 168, 196, 10, 9, 53, 124, 150, 31, 116, 49, 34, 200, 134, 220, 121, 2, 62, 149, 158, 101, 17, 202, 11, 109, 85, 55, 67, 120, 43, 154, 44, 215, 177, 178, 40, 57, 14, 213, 151, 137]
22. Length 230
[69, 204, 215, 61, 97, 149, 9, 11, 137, 71, 37, 219, 92, 115, 156, 159, 200, 222, 3, 89, 172, 177, 203, 45, 54, 82, 147, 176, 168, 6, 26, 81, 25, 132, 212, 70, 228, 122, 225, 141, 100, 12, 124, 30, 146, 73, 19, 49, 52, 62, 217, 166, 191, 102, 163, 50, 181, 7, 134, 58, 76, 199, 179, 169, 197, 108, 174, 22, 186, 171, 114, 103, 173, 68, 65, 4, 13, 117, 64, 10, 126, 77, 206, 133, 121, 60, 40, 38, 59, 178, 224, 211, 187, 80, 220, 140, 8, 34, 130, 41, 95, 105, 227, 66, 210, 180, 192, 106, 209, 107, 157, 188, 170, 101, 131, 87, 14, 165, 78, 182, 136, 193, 190, 20, 67, 125, 36, 5, 145, 218, 99, 138, 154, 16, 29, 152, 194, 53, 148, 93, 202, 229, 198, 109, 43, 214, 150, 51, 128, 216, 1, 83, 196, 135, 74, 119, 75, 42, 142, 72, 226, 185, 116, 162, 63, 2, 112, 33, 184, 158, 15, 213, 144, 223, 98, 57, 160, 143, 90, 44, 205, 35, 21, 48, 151, 85, 123, 32, 47, 39, 189, 161, 56, 207, 84, 94, 230, 46, 164, 113, 175, 18, 195, 110, 127, 96, 129, 88, 17, 153, 104, 91, 86, 31, 118, 111, 120, 201, 28, 221, 23, 139, 24, 27, 167, 208, 183, 155, 79, 55]
23. Length 238
[202, 18, 122, 135, 11, 57, 103, 35, 86, 2, 84, 232, 208, 186, 54, 77, 145, 101, 105, 137, 210, 234, 207, 93, 55, 63, 230, 66, 160, 10, 223, 36, 34, 216, 104, 174, 121, 25, 166, 75, 167, 176, 61, 32, 118, 89, 68, 5, 14, 27, 204, 99, 149, 88, 91, 222, 37, 144, 108, 78, 128, 131, 190, 17, 65, 168, 225, 165, 41, 49, 38, 72, 43, 147, 158, 74, 130, 7, 82, 64, 97, 69, 100, 22, 152, 85, 48, 33, 218, 47, 228, 113, 40, 185, 219, 112, 180, 120, 4, 213, 179, 194, 51, 96, 221, 44, 238, 31, 117, 114, 229, 81, 164, 193, 236, 26, 59, 30, 151, 12, 115, 170, 24, 70, 227, 159, 133, 52, 134, 203, 15, 197, 155, 83, 50, 111, 195, 139, 109, 127, 188, 87, 62, 157, 226, 142, 98, 76, 211, 138, 58, 140, 198, 220, 16, 46, 183, 107, 106, 29, 163, 173, 209, 217, 215, 1, 177, 233, 199, 110, 172, 23, 212, 79, 94, 102, 39, 20, 178, 150, 175, 119, 8, 13, 42, 156, 201, 73, 200, 124, 53, 161, 92, 123, 224, 143, 196, 28, 9, 6, 80, 56, 148, 125, 214, 60, 171, 153, 231, 181, 205, 19, 95, 206, 154, 132, 169, 116, 3, 126, 187, 162, 191, 67, 136, 45, 192, 189, 235, 129, 21, 141, 237, 184, 90, 146, 182, 71]
24. Length 241
[2, 33, 49, 83, 207, 204, 13, 57, 115, 86, 102, 219, 232, 44, 177, 197, 171, 227, 191, 10, 25, 162, 62, 11, 76, 214, 163, 201, 130, 91, 233, 194, 112, 179, 66, 139, 183, 116, 196, 193, 150, 211, 30, 144, 209, 97, 174, 3, 68, 38, 120, 165, 56, 64, 87, 15, 79, 131, 206, 96, 188, 7, 99, 195, 129, 8, 186, 78, 212, 125, 161, 230, 225, 239, 47, 107, 53, 218, 164, 106, 198, 215, 181, 226, 6, 175, 167, 236, 67, 80, 210, 128, 155, 40, 63, 74, 113, 89, 18, 190, 124, 221, 59, 149, 103, 42, 156, 157, 200, 168, 34, 77, 65, 146, 5, 187, 222, 231, 140, 141, 172, 234, 100, 94, 132, 237, 24, 216, 152, 22, 51, 69, 35, 43, 105, 23, 61, 1, 72, 135, 104, 9, 12, 21, 46, 192, 159, 205, 158, 109, 28, 98, 50, 122, 111, 71, 166, 229, 37, 114, 173, 134, 136, 81, 121, 185, 118, 223, 20, 14, 108, 82, 178, 54, 26, 153, 36, 39, 117, 147, 95, 90, 16, 17, 170, 119, 199, 19, 84, 213, 88, 93, 151, 4, 101, 142, 110, 184, 55, 138, 75, 133, 148, 145, 45, 70, 217, 143, 224, 241, 31, 240, 182, 52, 238, 126, 85, 154, 137, 160, 27, 180, 60, 29, 32, 169, 235, 123, 176, 48, 220, 203, 228, 127, 41, 58, 73, 92, 189, 202, 208]
25. Length 241
[105, 160, 132, 32, 10, 117, 76, 2, 190, 108, 178, 51, 71, 237, 232, 47, 14, 124, 100, 31, 169, 196, 8, 184, 21, 151, 223, 86, 42, 127, 55, 58, 229, 4, 219, 46, 238, 179, 24, 194, 203, 122, 66, 15, 81, 146, 172, 106, 129, 135, 216, 120, 92, 231, 144, 195, 181, 162, 69, 45, 137, 136, 9, 30, 5, 188, 91, 49, 147, 233, 198, 17, 241, 163, 36, 18, 183, 59, 16, 29, 116, 182, 41, 48, 23, 39, 154, 210, 68, 167, 95, 213, 79, 225, 37, 157, 109, 143, 78, 142, 173, 155, 200, 110, 20, 73, 141, 168, 156, 126, 150, 201, 114, 1, 230, 211, 217, 131, 140, 204, 209, 149, 103, 199, 165, 175, 35, 107, 74, 63, 193, 239, 218, 234, 197, 224, 174, 121, 60, 88, 22, 171, 133, 207, 152, 34, 43, 228, 125, 115, 101, 7, 12, 220, 82, 153, 134, 52, 130, 70, 72, 44, 177, 89, 65, 98, 94, 53, 208, 227, 161, 3, 123, 236, 221, 87, 102, 50, 90, 180, 185, 186, 67, 77, 26, 212, 27, 222, 6, 145, 11, 13, 84, 25, 164, 64, 85, 139, 214, 189, 61, 96, 191, 128, 93, 138, 148, 19, 119, 202, 75, 176, 159, 56, 104, 206, 40, 187, 215, 62, 166, 240, 112, 226, 170, 83, 97, 57, 99, 38, 28, 113, 205, 158, 235, 111, 54, 192, 118, 80, 33]
26. Length 244
[89, 13, 154, 161, 235, 225, 92, 188, 215, 194, 54, 58, 128, 21, 165, 85, 144, 205, 142, 77, 109, 24, 83, 69, 72, 7, 224, 240, 191, 204, 183, 203, 68, 70, 63, 95, 206, 170, 153, 180, 45, 178, 35, 27, 190, 132, 222, 41, 40, 156, 97, 20, 217, 177, 167, 65, 23, 136, 216, 234, 38, 201, 236, 164, 82, 241, 10, 141, 148, 229, 5, 125, 113, 159, 193, 187, 130, 179, 52, 108, 86, 196, 174, 123, 56, 116, 227, 30, 239, 98, 186, 67, 135, 118, 163, 43, 32, 50, 231, 226, 232, 172, 200, 99, 6, 143, 39, 93, 107, 34, 129, 157, 100, 127, 15, 84, 81, 73, 121, 220, 44, 8, 57, 105, 91, 171, 162, 211, 244, 104, 112, 238, 212, 133, 71, 192, 145, 160, 87, 181, 60, 184, 119, 4, 55, 96, 53, 12, 213, 124, 94, 22, 42, 3, 48, 131, 117, 140, 138, 228, 219, 155, 59, 29, 202, 169, 114, 101, 47, 233, 176, 139, 207, 33, 79, 16, 51, 66, 75, 90, 198, 168, 166, 31, 151, 49, 208, 150, 111, 14, 25, 197, 17, 76, 80, 78, 9, 173, 26, 137, 19, 120, 199, 106, 152, 88, 147, 36, 158, 28, 243, 221, 110, 74, 175, 237, 61, 2, 62, 214, 189, 134, 195, 218, 18, 102, 46, 103, 11, 122, 146, 185, 182, 209, 1, 149, 115, 64, 37, 126, 230, 223, 242, 210]
27. Length 246
[28, 186, 214, 18, 220, 73, 20, 88, 234, 187, 27, 102, 22, 129, 10, 228, 196, 56, 47, 2, 16, 67, 124, 137, 177, 179, 223, 147, 188, 23, 103, 109, 149, 60, 229, 99, 222, 90, 49, 80, 158, 93, 171, 71, 175, 143, 19, 212, 40, 226, 219, 120, 146, 66, 167, 232, 94, 174, 237, 9, 173, 70, 122, 241, 58, 82, 191, 211, 180, 104, 53, 36, 83, 37, 131, 25, 162, 32, 210, 144, 145, 69, 135, 63, 154, 165, 46, 57, 50, 74, 128, 140, 112, 118, 125, 231, 221, 233, 95, 200, 153, 6, 166, 98, 208, 91, 89, 141, 4, 26, 134, 86, 8, 30, 157, 156, 224, 201, 243, 7, 161, 1, 84, 115, 44, 230, 78, 79, 5, 17, 194, 148, 152, 121, 193, 107, 240, 181, 29, 43, 65, 164, 45, 110, 64, 195, 216, 127, 59, 197, 178, 151, 139, 85, 75, 11, 204, 184, 77, 54, 51, 205, 108, 142, 130, 138, 238, 87, 38, 101, 96, 31, 215, 244, 242, 172, 213, 136, 97, 35, 39, 76, 42, 245, 123, 227, 24, 168, 33, 159, 217, 239, 55, 176, 68, 207, 106, 132, 15, 116, 61, 198, 62, 182, 225, 202, 105, 150, 183, 81, 170, 13, 41, 199, 3, 185, 235, 14, 155, 21, 126, 119, 169, 72, 12, 236, 48, 209, 190, 113, 218, 100, 52, 111, 189, 92, 192, 114, 117, 160, 133, 203, 163, 34, 206, 246]
28. Length 250
[119, 57, 59, 181, 212, 120, 236, 121, 99, 247, 138, 187, 175, 108, 107, 197, 123, 101, 141, 77, 201, 3, 52, 60, 56, 240, 157, 39, 42, 199, 23, 18, 136, 74, 137, 143, 229, 170, 20, 160, 206, 219, 191, 185, 46, 223, 150, 190, 116, 96, 198, 221, 220, 159, 238, 48, 176, 113, 168, 33, 44, 142, 67, 244, 13, 218, 122, 246, 214, 234, 237, 27, 165, 24, 153, 90, 84, 154, 235, 196, 80, 111, 102, 231, 228, 135, 16, 148, 26, 45, 10, 71, 156, 224, 183, 232, 72, 94, 132, 54, 58, 248, 144, 213, 139, 129, 245, 115, 25, 164, 87, 19, 193, 81, 32, 78, 91, 167, 171, 40, 92, 226, 109, 69, 86, 38, 61, 5, 14, 118, 145, 103, 53, 93, 172, 178, 225, 68, 163, 210, 179, 192, 208, 169, 17, 12, 50, 233, 6, 55, 243, 158, 88, 188, 242, 36, 173, 126, 155, 184, 216, 149, 47, 76, 200, 1, 112, 28, 161, 174, 41, 73, 222, 66, 37, 63, 64, 124, 89, 205, 9, 186, 202, 70, 203, 127, 105, 250, 182, 79, 43, 133, 8, 241, 114, 128, 51, 83, 98, 49, 209, 7, 95, 151, 162, 189, 180, 75, 195, 62, 207, 21, 104, 30, 117, 110, 140, 29, 227, 249, 82, 152, 11, 34, 85, 106, 217, 211, 2, 35, 215, 4, 230, 134, 31, 194, 97, 22, 125, 130, 100, 239, 131, 166, 65, 15, 146, 177, 204, 147]
29. Length 253
[46, 245, 174, 180, 85, 29, 141, 70, 252, 119, 214, 225, 86, 91, 41, 67, 219, 118, 127, 243, 2, 71, 157, 114, 55, 92, 5, 200, 199, 139, 191, 235, 153, 102, 206, 171, 117, 58, 223, 249, 11, 211, 202, 175, 156, 133, 57, 163, 47, 65, 213, 247, 189, 111, 177, 49, 124, 154, 164, 145, 80, 15, 232, 142, 39, 69, 201, 185, 229, 215, 170, 42, 3, 248, 169, 136, 149, 218, 237, 90, 135, 7, 242, 246, 23, 186, 31, 4, 167, 207, 173, 132, 195, 196, 78, 212, 22, 35, 194, 54, 184, 183, 222, 230, 88, 43, 144, 151, 34, 97, 6, 109, 37, 147, 72, 158, 134, 33, 51, 238, 165, 162, 9, 63, 166, 113, 137, 198, 50, 121, 106, 224, 19, 104, 95, 129, 193, 79, 192, 122, 30, 12, 234, 168, 76, 103, 73, 66, 188, 178, 172, 176, 250, 182, 110, 231, 155, 26, 197, 10, 152, 98, 131, 25, 36, 81, 138, 150, 227, 24, 112, 120, 204, 75, 8, 179, 94, 17, 140, 32, 77, 61, 233, 38, 205, 93, 99, 27, 208, 56, 216, 48, 241, 20, 130, 240, 115, 83, 60, 108, 28, 13, 89, 128, 160, 82, 40, 126, 16, 253, 21, 251, 228, 59, 159, 64, 203, 236, 52, 18, 181, 105, 107, 239, 220, 44, 74, 125, 209, 84, 226, 217, 210, 190, 101, 100, 68, 116, 161, 148, 244, 221, 96, 45, 123, 187, 62, 87, 53, 1, 146, 143, 14]
30. Length 256
[159, 248, 75, 43, 111, 38, 4, 17, 155, 87, 81, 208, 53, 230, 65, 11, 108, 228, 146, 212, 137, 225, 144, 189, 86, 105, 84, 128, 97, 50, 223, 15, 83, 169, 217, 47, 88, 236, 114, 181, 115, 177, 102, 250, 246, 104, 80, 45, 240, 14, 196, 52, 247, 41, 198, 32, 182, 206, 226, 101, 70, 94, 113, 49, 254, 59, 42, 154, 77, 253, 112, 215, 99, 25, 134, 92, 95, 150, 64, 178, 118, 79, 130, 63, 129, 131, 57, 218, 85, 204, 3, 163, 158, 186, 10, 199, 24, 125, 251, 51, 74, 160, 207, 120, 233, 30, 19, 9, 56, 167, 58, 117, 164, 54, 220, 229, 234, 203, 211, 103, 205, 69, 39, 5, 31, 191, 106, 180, 116, 245, 21, 222, 91, 235, 8, 2, 214, 29, 238, 176, 135, 61, 227, 202, 122, 252, 231, 89, 187, 37, 149, 96, 190, 172, 73, 18, 71, 1, 179, 46, 156, 201, 165, 256, 151, 27, 242, 188, 126, 124, 244, 100, 107, 143, 170, 72, 255, 40, 67, 192, 185, 219, 20, 157, 98, 237, 136, 168, 141, 224, 232, 44, 139, 132, 22, 60, 109, 90, 175, 171, 62, 23, 161, 12, 76, 210, 68, 184, 93, 243, 48, 209, 174, 200, 121, 123, 36, 173, 140, 133, 145, 6, 110, 152, 142, 241, 55, 138, 147, 193, 213, 127, 7, 34, 66, 153, 26, 13, 162, 183, 239, 78, 249, 221, 28, 194, 16, 35, 33, 82, 195, 148, 216, 119, 166, 197]
[2,1]
,[2,1,4,3]
,[1,2,6,4,5,3]
。以防万一人们正在尝试更棘手的事情:)