node_num: 103 -> 130(103 - 7 + 34)
stage1_node_idx: len=103
	[  0   1   3   7   8   9  10  11  12  13  15  16  17  20  21  22  23  24
  25  29  31  32  33  34  35  36  37  39  40  41  42  43  45  46  47  48
  51  52  53  54  56  58  59  61  62  63  65  66  67  68  69  70  73  74
  76  77  78  79  80  81  82  83  84  85  86  87  88  89  91  92  93  94
  95  96  97  99 100 101 102 103 104 105 107 108 109 112 113 115 116 117
 118 123 124 125 126 127 129 130 131 132 134 135 136]
stage2_node_idx: len=130
	[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 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, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 133, 134, 135, 136]
remain_in_stage2_node_idx: len=96
	[  0   1   3   7   8   9  10  12  13  15  16  20  21  22  23  24  25  29
  31  32  33  34  35  36  37  39  41  42  43  45  46  47  48  51  52  53
  54  56  58  59  61  62  63  65  66  67  68  69  70  73  74  76  77  78
  79  80  82  83  84  85  86  87  88  89  91  92  93  94  95  96  97  99
 100 101 102 104 105 108 109 112 113 115 116 117 118 123 124 125 126 127
 129 130 131 134 135 136]
retire_in_stage2_node_idx: len=7
	[ 11  17  40  81 103 107 132]
newadd_in_stage2_node_idx: len=34
	[  2   4   5   6  14  18  19  26  27  28  30  38  44  49  50  55  57  60
  64  71  72  75  90  98 106 110 111 114 119 120 121 122 128 133]
