Overworld (Kaipo) Seed: 181 Index: 0
Overworld (Kaipo) Seed: 181 Index: 1
Step 8: 1 / Sandpede x1, Sand Man x2 (7.026s)
Step 20: 2 / SandMoth x2, Larva x2 (7.009s)
Kaipo Seed: 181 Index: 37
Overworld (Kaipo) Seed: 181 Index: 37
Step 4: 3 / Sandpede x1, Sand Man x2 (7.096s)
Watery Pass-South B1F Seed: 181 Index: 69
Recruit Tellah Seed: 181 Index: 101
Watery Pass-South B1F Seed: 181 Index: 101
Watery Pass-South B2F Seed: 181 Index: 121
Step 66: 4 / Pike x2, EvilShel x2 (7.149s)
Step 81: 5 / EvilShel x3, WaterBug x1 (7.081s)
Watery Pass-South B2F Save Room Seed: 181 Index: 211
Watery Pass-South B2F Seed: 181 Index: 215
Step 19: 6 / EvilShel x3, WaterBug x1 (7.081s)
Step 37: 7 / Pike x2, EvilShel x2 (7.149s)
Watery Pass-South B3F Seed: 181 Index: 254
Step 21: 8 / CaveToad x3 (7.014s)
Watery Pass-North B2F Seed: 198 Index: 32
Watery Pass-North B1F Seed: 198 Index: 53
Step 50: 9 / Zombie x4 (7.148s)
Step 53: 10 / CaveToad x2, Mad Toad x2 (7.163s)
Step 56: 11 / Zombie x4 (7.148s)
Overworld (Kaipo) Seed: 198 Index: 113
Waterfalls B1F Seed: 198 Index: 122
Extra Steps: 12
Waterfalls B2F Seed: 198 Index: 135
Step 21: 12 / Aligator x2 (7.544s)
Waterfalls Lake Seed: 198 Index: 180
Step 4: 13 / Jelly x4 (7.324s)
Battle: Octomamm Seed: 198 Index: 217
Waterfalls Lake Seed: 198 Index: 217
Overworld (Kaipo) Seed: 198 Index: 218
Step 3: 14 / Sandpede x1, Sand Man x2 (7.221s)
Overworld (Damcyan) Seed: 198 Index: 229
Damcyan Seed: 198 Index: 233
Optional Steps: 1
Overworld (Damcyan) Seed: 198 Index: 241
Antlion B1F Seed: 198 Index: 241
Step 37: 15 / Turtle x2 (7.487s)
Antlion B2F Inward Direct Seed: 215 Index: 23
Antlion B2F Seed: 215 Index: 23
Step 61: 16 / Basilisk x1, Imp x3 (6.775s)
Step 78: 17 / Basilisk x1, Turtle x1 (7.110s)
Antlion's Nest Seed: 215 Index: 103
Battle: Antlion Seed: 215 Index: 117
Antlion's Nest Seed: 215 Index: 117
Antlion B2F Outward Direct Seed: 215 Index: 132
Antlion B2F Seed: 215 Index: 132
Step 1: 18 / SandWorm x2 (6.858s)
Step 7: 19 / Basilisk x1, Turtle x1 (7.124s)
Step 65: 20 / Weeper x1, Turtle x1, Basilisk x1 (7.339s)
Step 68: 21 / Cream x4 (7.523s)
Step 69: 22 / Basilisk x1, Turtle x1 (7.124s)
Antlion B1F Seed: 215 Index: 212
Overworld (Damcyan) Seed: 215 Index: 250
Overworld (Kaipo) Seed: 215 Index: 250
Kaipo Revisited Seed: 215 Index: 250
Overworld (Kaipo) Seed: 215 Index: 250
Overworld (Damcyan) Seed: 215 Index: 250
Mt.Hobs-West Seed: 215 Index: 250
Step 9: 23 / Bomb x3 (8.832s)
Mt.Hobs Summit Seed: 232 Index: 33
Battle: MomBomb Seed: 232 Index: 48
Mt.Hobs Summit Seed: 232 Index: 48
Mt.Hobs-East Seed: 232 Index: 54
Overworld (Fabul) Seed: 232 Index: 100
Step 31: 24 / SwordRat x3, Needler x3 (7.663s)
Step 37: 25 / Imp Cap. x3, Needler x3 (8.555s)
Step 50: 26 / GrayBomb x2, Bomb x2 (8.808s)
Step 63: 27 / Imp Cap. x3, Needler x3 (8.555s)
Fabul Seed: 232 Index: 184
Optional Steps: 10
Extra Steps: 18
Overworld (Fabul) Seed: 249 Index: 16
Fabul Boat and Leviatan Seed: 249 Index: 23
Overworld (Mysidia) Seed: 249 Index: 23
Mysidia Seed: 249 Index: 32
Overworld (Mysidia) Seed: 249 Index: 32
Overworld (Mt.Ordeals) Seed: 249 Index: 42
Step 15: 28 / SwordRat x2, Imp x2, TinyMage x2 (7.401s)
Step 23: 29 / SwordRat x2, Imp x2, TinyMage x2 (7.401s)
Step 84: 30 / Imp Cap. x3, Needler x1 (7.932s)
Step 87: 31 / SwordRat x2, Imp x2, TinyMage x2 (7.401s)
Mt.Ordeals Seed: 249 Index: 136
Step 25: 32 / Red Bone x1, Skelton x3 (8.067s)
Step 43: 33 / Spirit x2, Skelton x2 (8.285s)
Mt.Ordeals-3rd station Seed: 249 Index: 179
Step 14: 34 / Lilith x1, Red Bone x2 (9.259s)
Recruit Tellah Seed: 249 Index: 202
Mt.Ordeals-3rd station Seed: 249 Index: 202
Mt.Ordeals-7th station Seed: 249 Index: 207
Step 18: 35 / Zombie x3, Ghoul x2, Revenant x2 (7.869s)
Mt.Ordeals Summit Seed: 249 Index: 249
Optional Steps: 1
Battle: Milon and Milon Z Seed: 10 Index: 11
Mt.Ordeals Summit Seed: 10 Index: 11
Step 2: 36 / Zombie x3, Ghoul x2, Revenant x2 (7.808s)
Paladin Seed: 10 Index: 15
Mt.Ordeals Summit Seed: 10 Index: 15
Optional Steps: 1
Step 20: 37 / Soul x2, Ghoul x2, Revenant x2 (9.991s)
Mt.Ordeals-7th station Seed: 10 Index: 38
Mt.Ordeals-3rd station Seed: 10 Index: 80
Step 1: 38 / Zombie x2, Ghoul x2 (7.552s)
Mt.Ordeals Seed: 10 Index: 110
Overworld (Mt.Ordeals) Seed: 10 Index: 154
Step 5: 39 / Imp Cap. x4, Imp x2 (8.400s)
Take Chocobo to Mysidia Seed: 10 Index: 167
Overworld (Mysidia) Seed: 10 Index: 167
Town of Baron Serpent Road Seed: 10 Index: 167
Extra Steps: 12
Old Water-way Seed: 10 Index: 183
Step 40: 40 / Piranha x2, FangShel x1, EvilShel x1 (9.096s)
Step 72: 41 / Piranha x2, ElecFish x2 (8.877s)
Castle Baron B3F Seed: 27 Index: 17
Step 35: 42 / AquaWorm x1, Piranha x3 (9.542s)
Step 43: 43 / AquaWorm x1, Piranha x3 (9.542s)
Castle Baron B2F Seed: 27 Index: 71
Step 21: 44 / Guard x2 (8.494s)
Step 25: 45 / AquaWorm x1, Hydra x1, Crocdile x1 (10.151s)
Castle Baron B1F Inward Direct Seed: 27 Index: 97
Castle Baron B1F Seed: 27 Index: 97
Castle Baron Seed: 27 Index: 118
Battle: Kainazzo Seed: 27 Index: 132
Overworld (Toroia) Seed: 27 Index: 132
Toroian Castle Seed: 27 Index: 133
Optional Steps: 2
Overworld (Toroia) Seed: 27 Index: 146
Optional Steps: 0
Black Chocobo to Cave Magnes Seed: 27 Index: 183
Overworld (Toroia) Seed: 27 Index: 183
Cave Magnes B1F Seed: 27 Index: 184
Step 22: 46 / Panther x2 (8.033s)
Step 55: 47 / Panther x2 (8.033s)
Step 67: 48 / Python x1, StingRat x2 (8.525s)
Cave Magnes B2F Seed: 27 Index: 252
Step 1: 49 / Ogre x1, Panther x2 (8.591s)
Step 30: 50 / Mage x2 (8.585s)
Cave Magnes B3F Inward Save Room Steps Seed: 44 Index: 37
Cave Magnes B3F Seed: 44 Index: 37
Cave Magnes B3F Save Room Seed: 44 Index: 45
Extra Steps: 50
Cave Magnes B3F Seed: 44 Index: 95
Step 30: 51 / CaveNaga x1, Python x2 (8.779s)
Cave Magnes B3F Passage Seed: 44 Index: 158
Cave Magnes B4F Inward Direct Seed: 44 Index: 169
Cave Magnes B4F Seed: 44 Index: 169
Battle: Dark Elf Seed: 44 Index: 199
Overworld (Toroia) Seed: 44 Index: 199
Black Chocobo to Toroia Seed: 44 Index: 201
Toroian Castle 1F Inward Extra Steps Area Steps Seed: 44 Index: 201
Toroian Castle 1F Seed: 44 Index: 201
Optional Steps: 3
Overworld (Toroia) Seed: 44 Index: 205
Optional Steps: 2
Tower of Zot 1F Seed: 44 Index: 208
Step 28: 52 / Marion (summons Puppet) x1, Puppet x2 (9.023s)
Tower of Zot 2F Seed: 44 Index: 246
Step 34: 53 / Centaur x1, IceBeast x2 (10.314s)
Battle: FlameDog Seed: 61 Index: 42
Tower of Zot 2F Seed: 61 Index: 42
Step 11: 54 / Centaur x1, IceBeast x2 (10.314s)
Tower of Zot 3F Seed: 61 Index: 59
Step 9: 55 / Centaur x2, IceBeast x2 (10.289s)
Step 19: 56 / SwordMan x2 (12.756s)
Step 40: 57 / Ice Liz x1, Slime x3 (9.423s)
Step 65: 58 / Ice Liz x1, Slime x3 (9.423s)
Tower of Zot 4F Seed: 61 Index: 145
Tower of Zot 5F Seed: 61 Index: 205
Battle: Magus Sisters Seed: 61 Index: 228
Tower of Zot 5F Seed: 61 Index: 228
Tower of Zot 6F Seed: 61 Index: 229
Battle: Valvalis Seed: 61 Index: 243
Castle Baron Seed: 61 Index: 243
Fly to Agart Seed: 78 Index: 6
Overworld (Eblan) Seed: 78 Index: 6
Underworld (Castle of Dwarves) Seed: 78 Index: 7
Castle of Dwarves Walk Seed: 78 Index: 8
Castle of Dwarves Seed: 78 Index: 8
Optional Steps: 22
Extra Steps: 4
Underworld (Castle of Dwarves) Seed: 78 Index: 145
Step 50: 59 / Dark Imp x3, Armadilo x1, BlackLiz x1 (6.753s)
Step 102: 60 / BlackLiz x3 (6.787s)
Tower of Bab-il 1F Seed: 95 Index: 12
Step 8: 61 / Marion (summons EvilDoll) x1, EvilDoll x3 (7.121s)
Tower of Bab-il 2F Seed: 95 Index: 30
Step 9: 62 / FlameDog x4 (7.111s)
Step 20: 63 / Marion (summons EvilDoll) x1, EvilDoll x2 (7.038s)
Tower of Bab-il 3F Seed: 95 Index: 68
Tower of Bab-il 4F Seed: 95 Index: 126
Step 22: 64 / Chimera x1 (9.065s)
Step 55: 65 / Tortoise x2, BlackLiz x2 (7.069s)
Tower of Bab-il 5F Seed: 95 Index: 188
Step 17: 66 / Chimera x2 (8.558s)
Step 42: 67 / Chimera x2 (8.558s)
Tower of Bab-il 6F Seed: 95 Index: 245
Tower of Bab-il 7F Seed: 112 Index: 1
Step 32: 68 / Alert (summons Naga) x1 (7.238s)
Tower of Bab-il 8F Seed: 112 Index: 44
Battle: Dr.Lugae Seed: 112 Index: 69
Tower of Bab-il 8F Seed: 112 Index: 69
Step 13: 69 / Chimera x1, FlameDog x2 (6.996s)
Tower of Bab-il 7F Seed: 112 Index: 95
Step 19: 70 / Medusa x2 (8.181s)
Step 21: 71 / Alert (summons FlameDog) x1 (7.185s)
Tower of Bab-il 6F Seed: 112 Index: 139
Tower of Bab-il 5F Seed: 112 Index: 152
Step 14: 72 / Chimera x1, FlameDog x2 (6.996s)
Battle: Dark Imps Seed: 112 Index: 194
Tower of Bab-il 5F Seed: 112 Index: 194
Step 24: 73 / Chimera x1, Tofu x3 (10.537s)
Step 32: 74 / Chimera x1 (10.965s)
Tower of Bab-il 4F Seed: 112 Index: 238
Tower of Bab-il 3F Seed: 129 Index: 44
Step 2: 75 / Egg (BlackLiz) x1 (7.850s)
Step 36: 76 / Tortoise x2, BlackLiz x1 (9.348s)
Tower of Bab-il 2F Seed: 129 Index: 94
Step 18: 77 / Marion (summons EvilDoll) x1, EvilDoll x2 (9.160s)
Tower of Bab-il 1F Seed: 129 Index: 132
Travel to Baron Seed: 129 Index: 147
Overworld (Baron) Seed: 129 Index: 147
Castle Baron Seed: 129 Index: 147
Airship Hook Seed: 129 Index: 160
Overworld (Eblan) Seed: 129 Index: 160
Cave Eblana B1F Seed: 129 Index: 161
Cave Eblana B2F Shop Walk Seed: 129 Index: 203
Cave Eblana B2F Seed: 129 Index: 203
Optional Steps: 2
Pass to Bab-il (south) Seed: 146 Index: 5
Pass to Bab-il (north) Seed: 146 Index: 36
Step 9: 78 / GiantBat x4 (11.694s)
Pass to Bab-il (south) Seed: 146 Index: 69
Step 38: 79 / Ironback x1, Armadilo x1, BlackLiz x1 (9.426s)
Step 41: 80 / GiantBat x3, Cave Bat x3 (8.043s)
Step 73: 81 / Staleman x1, Skull x2 (10.023s)
Pass to Bab-il (north) Inward Save Room Steps Seed: 146 Index: 151
Pass to Bab-il (north) Seed: 146 Index: 151
Step 1: 82 / Red Bone x3, Skull x2 (7.180s)
Pass to Bab-il (north) Save Room Seed: 146 Index: 155
Extra Steps: 20
Pass to Bab-il (north) Seed: 146 Index: 175
Recruit Edge Seed: 146 Index: 198
Remove Dwarf Axe before Q.Eblan/K.Eblan Seed: 146 Index: 198
Pass to Bab-il (north) Seed: 146 Index: 198
Tower of Bab-il 1F Seed: 146 Index: 201
Step 15: 83 / Egg (Green D.) x1 (7.652s)
Step 42: 84 / BlackCat x2 (7.164s)
Step 66: 85 / Balloon x3 (7.107s)
Step 71: 86 / Mad Ogre x2 (7.060s)
Tower of Bab-il B2F Seed: 163 Index: 27
Step 48: 87 / Sorcerer (summons Green D.) x1, BladeMan x2 (7.209s)
Tower of Bab-il B3F Seed: 163 Index: 101
Step 7: 88 / Mad Ogre x1, BlackCat x1, Balloon x2 (7.166s)
Tower of Bab-il B4F Seed: 163 Index: 114
Step 24: 89 / Sorcerer (summons Green D.) x1, BladeMan x2 (7.209s)
Tower of Bab-il B3F Seed: 163 Index: 181
Step 15: 90 / Mad Ogre x2, BlackCat x2 (7.171s)
Step 23: 91 / Grudger x1, Mad Ogre x1, Balloon x2 (7.154s)
Tower of Bab-il B4F Seed: 163 Index: 223
Tower of Bab-il B5F Seed: 163 Index: 226
Step 22: 92 / Sorcerer (summons BlackCat) x1, BladeMan x2 (7.153s)
Battle: Rubicant Seed: 163 Index: 253
Equip Dwarf Axe When Removing Strength Ring Seed: 163 Index: 253
Tower of Bab-il B5F Seed: 163 Index: 253
Tower of Bab-il 8F (revisit) Seed: 163 Index: 254
Step 11: 93 / Sorcerer (summons Q.Lamia) x1, BlackCat x2 (7.204s)
Tower of Bab-il 7F (revisit) Seed: 180 Index: 14
Step 7: 94 / Q.Lamia x1, Egg (Lamia) x1, BlackCat x2 (7.857s)
Tower of Bab-il 6F (revisit) Seed: 180 Index: 38
Step 3: 95 / Q.Lamia x1, Egg (Lamia) x1, BlackCat x2 (7.857s)
Fly to Castle of Dwarves Seed: 180 Index: 88
Underworld (Castle of Dwarves) Seed: 180 Index: 88
Castle of Dwarves Seed: 180 Index: 88
Optional Steps: 4
Underworld (Castle of Dwarves) Seed: 180 Index: 115
Sealed Cave Seed: 180 Index: 116
Underworld (Tomra) Seed: 180 Index: 123
Return to Castle of Dwarves Seed: 180 Index: 124
Castle of Dwarves Seed: 180 Index: 124
Underworld (Castle of Dwarves) Seed: 180 Index: 125
Return to Mysidia Seed: 180 Index: 126
Walk to the Big Whale Seed: 180 Index: 126
Overworld (Mysidia) Seed: 180 Index: 126
Fly to Lunar Path Seed: 180 Index: 129
Lunar Overworld Seed: 180 Index: 129
Lunar Path (west) Seed: 180 Index: 134
Step 31: 96 / Procyote x1, Pudding x2 (7.804s)
Step 36: 97 / Red Worm x1, Grenade x3 (7.658s)
Lunar Overworld Seed: 180 Index: 172
Step 15: 98 / Slime x1, Tofu x1, Pudding x1 (7.440s)
Step 30: 99 / Slime x1, Tofu x1, Pudding x1 (7.440s)
Lunar Path (east) Seed: 180 Index: 207
Step 27: 100 / Pudding x4 (7.832s)
Lunar Overworld Seed: 180 Index: 238
Recruit FuSoYa Seed: 180 Index: 255
Lunar Overworld Seed: 180 Index: 255
Lunar Path (east) Seed: 197 Index: 17
Step 2: 101 / Juclyote x1, Procyote x2 (7.957s)
Lunar Overworld Seed: 197 Index: 48
Lunar Path (west) Seed: 197 Index: 83
Step 20: 102 / Balloon x2, Grenade x2 (7.731s)
Step 23: 103 / Red Worm x1, Procyote x1, Juclyote x1 (7.885s)
Lunar Overworld Seed: 197 Index: 121
Giant of Bab-il Mouth Seed: 197 Index: 126
Optional Steps: 1
Step 9: 104 / Machine x2, Beamer x2 (7.818s)
Giant of Bab-il Neck Seed: 197 Index: 145
Giant of Bab-il Chest Seed: 197 Index: 147
Step 9: 105 / Searcher (summons MacGiant) x1 (7.400s)
Step 37: 106 / MacGiant x1 (7.514s)
Step 67: 107 / Horseman x1, Beamer x1, Machine x1 (7.709s)
Step 74: 108 / MacGiant x1 (7.514s)
Giant of Bab-il Stomach Seed: 197 Index: 229
Step 49: 109 / Horseman x2 (7.607s)
Grind Fight Search Seed: 214 Index: 22
Giant of Bab-il Passage Seed: 214 Index: 22
(Step 62: 110 / MacGiant x1, Machine x1, Beamer x1)
(Step 79: 111 / MacGiant x1, Horseman x1, Beamer x1)
(Step 111: 112 / MacGiant x1, Horseman x1, Beamer x1)
(Step 117: 113 / D.Machin x1)
(Step 178: 114 / Horseman x1, Machine x2)
(Step 179: 115 / MacGiant x2)
(Step 185: 116 / Searcher (summons Horseman) x1, Beamer x2)
(Step 220: 117 / Searcher (summons Horseman) x1, Beamer x2)
(Step 237: 118 / Searcher (summons Horseman) x1, Beamer x2)
Giant of Bab-il Lung Seed: 214 Index: 83
Step 1: 110 / Searcher (summons D.Machin) x1, Beamer x2 (7.658s)
(Step 18: 111 / D.Machin x1)
(Step 50: 112 / D.Machin x1)
(Step 56: 113 / MacGiant x1, Horseman x1, Beamer x1)
(Step 117: 114 / Searcher (summons Horseman) x1, Beamer x2)
(Step 118: 115 / MacGiant x2)
(Step 124: 116 / Machine x3, Beamer x2)
(Step 159: 117 / Machine x3, Beamer x2)
(Step 176: 118 / Machine x3, Beamer x2)
(Step 228: 119 / Machine x3, Beamer x2)
Battle: Elements Seed: 214 Index: 91
Giant of Bab-il Lung Seed: 214 Index: 91
Giant of Bab-il CPU Seed: 214 Index: 98
Extra Steps: 1
Return to Moon Seed: 214 Index: 101
Lunar Overworld Seed: 214 Index: 101
Lunar Path (west) Seed: 214 Index: 106
Step 27: 111 / Procyote x1, Juclyote x2 (7.792s)
Step 33: 112 / Procyote x1, Juclyote x2 (7.792s)
Lunar Overworld Seed: 214 Index: 144
Lunar Path (east) Seed: 214 Index: 179
Step 21: 113 / Red Worm x2 (7.573s)
Step 22: 114 / Juclyote x1, Procyote x2 (7.797s)
Step 28: 115 / Red Worm x2 (7.573s)
Lunar Overworld Seed: 214 Index: 210
Lunar Subterrane B1 Seed: 214 Index: 227
Step 32: 116 / Warlock x1 (6.227s)
Lunar Subterrane B2 Seed: 231 Index: 4
Lunar Subterrane B3 Seed: 231 Index: 33
Lunar Subterrane B4 Seed: 231 Index: 47
Lunar Subterrane B4 Passage Seed: 231 Index: 103
Step 28: 117 / D.Fossil x1 (6.210s)
Lunar Subterrane B4 Seed: 231 Index: 132
Extra Steps: 16
Step 5: 118 / D.Bone x1 (6.178s)
Step 18: 119 / D.Bone x1 (6.178s)
Step 31: 120 / D.Bone x1 (6.178s)
Lunar Subterrane B5 Seed: 231 Index: 163
Lunar Subterrane B5 Passage A Seed: 231 Index: 180
Step 10: 121 / King-Ryu x1 (6.565s)
Step 12: 122 / D.Fossil x1 (6.210s)
Lunar Subterrane B5 Seed: 231 Index: 213
Lunar Subterrane B5 Passage B Seed: 231 Index: 222
Step 6: 123 / King-Ryu x1, Ging-Ryu x1 (6.611s)
Lunar Subterrane B5 Inward Direct Seed: 231 Index: 254
Lunar Subterrane B5 Seed: 231 Index: 254
Get Ninja Star on Lunar Core B3 Seed: 248 Index: 10
Lunar Subterrane B6 Seed: 248 Index: 10
Lunar Subterrane B6 Passage Seed: 248 Index: 47
Step 10: 124 / King-Ryu x1 (6.565s)
Lunar Subterrane B7 Inward Direct Seed: 248 Index: 60
Lunar Subterrane B7 Seed: 248 Index: 60
Step 5: 125 / D.Fossil x1 (6.210s)
Step 66: 126 / D.Fossil x1 (6.210s)
Step 69: 127 / King-Ryu x1 (6.565s)
Lunar Core B1 Seed: 248 Index: 140
Step 21: 128 / EvilMask x1 (12.170s)
Step 39: 129 / Behemoth x1 (7.463s)
Step 53: 130 / Behemoth x1 (7.463s)
Lunar Core B2 Seed: 248 Index: 208
Step 17: 131 / Behemoth x1 (7.463s)
Lunar Core B3 Seed: 9 Index: 7
Step 28: 132 / EvilMask x1 (12.171s)
Lunar Core B4 Seed: 9 Index: 63
Step 18: 133 / Mind x1 (11.353s)
The following images show maps on which to take extra steps for this route. The exact location to take these steps is only a suggestion. Feel free to find a location that works better for you, but be mindful of tiles that don't count as steps. You might also review the Summary or Detail tabs for important encounter information. Most of them are shown here, but due to limitations in the current route output format, they can't always be assigned to the correct map.
If you have any trouble following these maps, or if you think there is an error, please contact me. I've tried my best to ensure their accuracy, but they are automatically generated and errors may have crept in nonetheless. If there is a problem, I can fix it, and if there isn't, I can at least point out where you made a mistake.