Overworld (Kaipo) Seed: 32 Index: 0 Overworld (Kaipo) Seed: 32 Index: 1 Step 6: 1 / Sand Man x4 (7.172s) Kaipo Seed: 32 Index: 37 Overworld (Kaipo) Seed: 32 Index: 37 Step 15: 2 / SandWorm x1 (7.100s) Step 23: 3 / Sand Man x4 (7.242s) Step 32: 4 / Sandpede x1, Sand Man x2 (7.096s) Watery Pass-South B1F Seed: 32 Index: 69 Step 23: 5 / Pike x2, EvilShel x2 (6.952s) Recruit Tellah Seed: 32 Index: 101 Watery Pass-South B1F Seed: 32 Index: 101 Watery Pass-South B2F Seed: 32 Index: 121 Step 20: 6 / Pike x2, EvilShel x2 (7.149s) Step 67: 7 / CaveToad x3 (7.014s) Watery Pass-South B2F Save Room Seed: 32 Index: 211 Extra Steps: 6 Watery Pass-South B2F Seed: 32 Index: 221 Watery Pass-South B3F Seed: 49 Index: 4 Step 23: 8 / Pike x3 (7.152s) Watery Pass-North B2F Seed: 49 Index: 38 Step 9: 9 / TinyMage x2, WaterHag x4 (8.120s) Step 20: 10 / Zombie x4 (7.148s) Watery Pass-North B1F Seed: 49 Index: 59 Step 2: 11 / TinyMage x2, WaterHag x4 (8.120s) Overworld (Kaipo) Seed: 49 Index: 119 Save: Before Waterfalls Seed: 49 Index: 128 Waterfalls B1F Seed: 49 Index: 128 Waterfalls B2F Seed: 49 Index: 129 Step 38: 12 / Zombie x6 (7.489s) Waterfalls Lake Seed: 49 Index: 174 Step 12: 13 / Aligator x1, WaterBug x2 (7.292s) Battle: Octomamm Seed: 49 Index: 211 Waterfalls Lake Seed: 49 Index: 211 Overworld (Kaipo) Seed: 49 Index: 212 Overworld (Damcyan) Seed: 49 Index: 223 Damcyan Seed: 49 Index: 227 Optional Steps: 1 Extra Steps: 64 Overworld (Damcyan) Seed: 66 Index: 43 Antlion B1F Seed: 66 Index: 43 Step 25: 14 / Imp x3, Imp Cap. x1 (6.755s) Step 35: 15 / Basilisk x1, Imp x3 (6.775s) Antlion B2F Inward Direct Seed: 66 Index: 81 Antlion B2F Seed: 66 Index: 81 Step 43: 16 / Cream x4 (7.552s) Antlion's Nest Seed: 66 Index: 161 Battle: Antlion Seed: 66 Index: 175 Antlion's Nest Seed: 66 Index: 175 Step 3: 17 / Weeper x1, Turtle x1, Basilisk x1 (7.339s) Antlion B2F Outward Charm Room Steps Seed: 66 Index: 190 Antlion B2F Seed: 66 Index: 190 Antlion B2F Treasure Room Seed: 66 Index: 241 Extra Steps: 26 Antlion B2F Seed: 83 Index: 11 Antlion B1F Seed: 83 Index: 45 Overworld (Damcyan) Seed: 83 Index: 83 Overworld (Kaipo) Seed: 83 Index: 83 Extra Steps: 2 Step 2: 18 / SandMoth x2, Larva x2 (7.135s) Kaipo Revisited Seed: 83 Index: 85 Overworld (Kaipo) Seed: 83 Index: 85 Overworld (Damcyan) Seed: 83 Index: 85 Save: Before Mt.Hobs Seed: 83 Index: 85 Mt.Hobs-West Seed: 83 Index: 85 Step 33: 19 / Bomb x3 (8.832s) Mt.Hobs Summit Seed: 83 Index: 124 Battle: MomBomb Seed: 83 Index: 139 Mt.Hobs Summit Seed: 83 Index: 139 Step 1: 20 / GrayBomb x2, Bomb x2 (8.430s) Mt.Hobs-East Seed: 83 Index: 145 Extra Steps: 4 Step 12: 21 / Turtle x2 (7.432s) Step 50: 22 / Gargoyle x1, Cocktric x2 (7.868s) Overworld (Fabul) Seed: 83 Index: 195 Step 34: 23 / Imp Cap. x4, Imp x2 (8.467s) Save: Before Fabul Seed: 100 Index: 23 Fabul Seed: 100 Index: 23 Optional Steps: 10 Extra Steps: 16 Overworld (Fabul) Seed: 100 Index: 109 Step 6: 24 / Gargoyle x1, Cocktric x2 (8.236s) Fabul Boat and Leviatan Seed: 100 Index: 116 Overworld (Mysidia) Seed: 100 Index: 116 Mysidia Seed: 100 Index: 125 Overworld (Mysidia) Seed: 100 Index: 125 Overworld (Mt.Ordeals) Seed: 100 Index: 135 Step 13: 25 / Raven x1 (8.356s) Step 46: 26 / Imp Cap. x4, Imp x2 (8.344s) Step 82: 27 / Raven x1 (8.356s) Mt.Ordeals Seed: 100 Index: 229 Extra Steps: 6 Step 44: 28 / Spirit x2, Skelton x2 (8.285s) Mt.Ordeals-3rd station Seed: 117 Index: 22 Recruit Tellah Seed: 117 Index: 45 Mt.Ordeals-3rd station Seed: 117 Index: 45 Step 4: 29 / Ghoul x1, Red Bone x2, Skelton x2 (8.832s) Mt.Ordeals-7th station Seed: 117 Index: 50 Step 9: 30 / Revenant x1, Ghoul x3 (8.914s) Step 38: 31 / Ghoul x2, Soul x2 (9.197s) Save: Mt.Ordeals Summit Seed: 117 Index: 92 Mt.Ordeals Summit Seed: 117 Index: 92 Optional Steps: 1 Battle: Milon and Milon Z Seed: 117 Index: 119 Mt.Ordeals Summit Seed: 117 Index: 119 Paladin Seed: 117 Index: 123 Mt.Ordeals Summit Seed: 117 Index: 123 Optional Steps: 1 Extra Steps: 26 Step 43: 32 / Ghoul x2, Soul x2 (8.971s) Step 46: 33 / Lilith x1 (8.563s) Mt.Ordeals-7th station Seed: 117 Index: 172 Mt.Ordeals-3rd station Seed: 117 Index: 214 Step 4: 34 / Zombie x3, Ghoul x2, Revenant x2 (7.923s) Step 12: 35 / Zombie x2, Ghoul x2 (7.552s) Mt.Ordeals Seed: 117 Index: 244 Overworld (Mt.Ordeals) Seed: 134 Index: 32 Take Chocobo to Mysidia Seed: 134 Index: 45 Overworld (Mysidia) Seed: 134 Index: 45 Town of Baron Serpent Road Seed: 134 Index: 45 Old Water-way Seed: 134 Index: 49 Step 30: 36 / Pike x3, Piranha x3 (8.025s) Step 41: 37 / Crocdile x1, Piranha x2 (9.538s) Step 62: 38 / Pike x3, Piranha x3 (8.025s) Castle Baron B3F Seed: 134 Index: 139 Step 29: 39 / Crocdile x1, ElecFish x3 (10.343s) Castle Baron B2F Seed: 134 Index: 193 Step 15: 40 / AquaWorm x1, Hydra x1, Crocdile x1 (10.151s) Save: Castle Baron B1F Seed: 134 Index: 219 Castle Baron B1F Seed: 134 Index: 219 Castle Baron B1F Save Room Seed: 134 Index: 229 Castle Baron B1F Seed: 134 Index: 238 Castle Baron Seed: 151 Index: 6 Battle: Kainazzo Seed: 151 Index: 20 Overworld (Toroia) Seed: 151 Index: 20 Toroian Castle Seed: 151 Index: 21 Optional Steps: 3 Extra Steps: 10 Overworld (Toroia) Seed: 151 Index: 45 Optional Steps: 1 Step 38: 41 / Python x1, StingRat x2 (8.701s) Black Chocobo to Cave Magnes Seed: 151 Index: 83 Overworld (Toroia) Seed: 151 Index: 83 Save: Before Cave Magnes Seed: 151 Index: 84 Cave Magnes B1F Seed: 151 Index: 84 Step 21: 42 / Ogre x2 (8.223s) Step 65: 43 / Ogre x2 (8.223s) Cave Magnes B2F Seed: 151 Index: 152 Step 21: 44 / Mage x2 (8.585s) Cave Magnes B3F Inward Save Room Steps Seed: 151 Index: 193 Cave Magnes B3F Seed: 151 Index: 193 Cave Magnes B3F Save Room Seed: 151 Index: 201 Extra Steps: 66 Cave Magnes B3F Seed: 168 Index: 11 Cave Magnes B3F Passage Seed: 168 Index: 74 Cave Magnes B4F Inward Direct Seed: 168 Index: 85 Cave Magnes B4F Seed: 168 Index: 85 Step 10: 45 / Panther x2, Ogre x1, CaveNaga x1 (9.026s) Battle: Dark Elf Seed: 168 Index: 115 Overworld (Toroia) Seed: 168 Index: 115 Black Chocobo to Toroia Seed: 168 Index: 117 Toroian Castle 1F Inward Extra Steps Area Steps Seed: 168 Index: 117 Toroian Castle 1F Seed: 168 Index: 117 Optional Steps: 3 Extra Steps: 84 Overworld (Toroia) Seed: 168 Index: 205 Optional Steps: 2 Save: Before Tower of Zot Seed: 168 Index: 208 Tower of Zot 1F Seed: 168 Index: 208 Tower of Zot 2F Seed: 168 Index: 246 Step 31: 46 / Ice Liz x1, Slime x3 (9.423s) Step 51: 47 / Ice Liz x1, Slime x3 (9.423s) Battle: FlameDog Seed: 185 Index: 42 Tower of Zot 2F Seed: 185 Index: 42 Tower of Zot 3F Seed: 185 Index: 59 Step 4: 48 / Marion (summons Puppet) x1, Puppet x2 (9.023s) Step 86: 49 / Jelly x1, Slime x2, Cream x1 (7.808s) Tower of Zot 4F Seed: 185 Index: 145 Step 27: 50 / Gremlin x2, Ice Liz x2 (9.444s) Step 42: 51 / Gremlin x2, Ice Liz x2 (9.444s) Tower of Zot 5F Seed: 185 Index: 205 Save: Tower of Zot 5F Seed: 185 Index: 217 Tower of Zot 5F Seed: 185 Index: 217 Battle: Magus Sisters Seed: 185 Index: 229 Tower of Zot 5F Seed: 185 Index: 229 Tower of Zot 6F Seed: 185 Index: 230 Battle: Valvalis Seed: 185 Index: 244 Castle Baron Seed: 185 Index: 244 Fly to Agart Seed: 202 Index: 7 Overworld (Eblan) Seed: 202 Index: 7 Underworld (Castle of Dwarves) Seed: 202 Index: 8 Save: Before Dwarf Castle Seed: 202 Index: 9 Castle of Dwarves Warp (Double) Seed: 202 Index: 9 Castle of Dwarves Seed: 202 Index: 9 Optional Steps: 0 Underworld (Castle of Dwarves) Seed: 202 Index: 110 Step 25: 52 / Tortoise x2, Armadilo x1, BlackLiz x1 (6.876s) Step 41: 53 / Armadilo x2 (8.100s) Step 89: 54 / Armadilo x2 (8.100s) Step 111: 55 / Armadilo x2 (8.100s) Tower of Bab-il 1F Seed: 202 Index: 233 Tower of Bab-il 2F Seed: 202 Index: 251 Tower of Bab-il 3F Seed: 219 Index: 33 Step 3: 56 / BlackLiz x3 (6.973s) Step 41: 57 / BlackLiz x2 (8.214s) Tower of Bab-il 4F Seed: 219 Index: 91 Save: Tower of Bab-il 4F Seed: 219 Index: 97 Tower of Bab-il 4F Seed: 219 Index: 97 Step 31: 58 / Tortoise x2, BlackLiz x1 (7.003s) Step 36: 59 / Egg (BlackLiz) x1 (7.624s) Tower of Bab-il 5F Seed: 219 Index: 158 Step 17: 60 / Chimera x1, FlameDog x2 (7.034s) Step 39: 61 / Chimera x1, Tofu x3 (7.080s) Step 43: 62 / Chimera x1, Tofu x3 (7.080s) Tower of Bab-il 6F Seed: 219 Index: 215 Tower of Bab-il 7F Seed: 219 Index: 227 Tower of Bab-il 8F Seed: 236 Index: 14 Step 20: 63 / Alert (summons Chimera) x1 (7.249s) Battle: Dr.Lugae Seed: 236 Index: 39 Tower of Bab-il 8F Seed: 236 Index: 39 Tower of Bab-il 7F Seed: 236 Index: 65 Step 1: 64 / Alert (summons FlameDog) x1 (7.185s) Step 33: 65 / Medusa x2 (8.181s) Tower of Bab-il 6F Seed: 236 Index: 109 Tower of Bab-il 5F Seed: 236 Index: 122 Step 28: 66 / Chimera x1 (8.946s) Step 41: 67 / Chimera x1 (8.946s) Battle: Dark Imps Seed: 236 Index: 164 Tower of Bab-il 5F Seed: 236 Index: 164 Tower of Bab-il 4F Seed: 236 Index: 208 Step 19: 68 / Tortoise x2, BlackLiz x1 (9.348s) Step 46: 69 / Egg (BlackLiz) x1 (7.850s) Step 48: 70 / Egg (BlackLiz) x1 (7.850s) Tower of Bab-il 3F Seed: 253 Index: 14 Step 23: 71 / BlackLiz x3 (9.086s) Tower of Bab-il 2F Seed: 253 Index: 64 Step 33: 72 / BlackLiz x2 (8.519s) Tower of Bab-il 1F Seed: 253 Index: 102 Travel to Baron Seed: 253 Index: 117 Overworld (Baron) Seed: 253 Index: 117 Castle Baron Seed: 253 Index: 117 Airship Hook Seed: 253 Index: 130 Overworld (Eblan) Seed: 253 Index: 130 Cave Eblana B1F Seed: 253 Index: 131 Step 30: 73 / Staleman x1, Skull x2 (10.023s) Cave Eblana B2F Shop Walk Seed: 253 Index: 173 Cave Eblana B2F Seed: 253 Index: 173 Optional Steps: 0 Pass to Bab-il (south) Seed: 253 Index: 229 Pass to Bab-il (north) Seed: 14 Index: 4 Step 9: 74 / GiantBat x4 (11.694s) Step 25: 75 / Red Bone x3, Skull x2 (7.180s) Step 31: 76 / Egg (Lamia) x1 (8.155s) Pass to Bab-il (south) Seed: 14 Index: 37 Step 27: 77 / GiantBat x3, Cave Bat x3 (8.043s) Pass to Bab-il (north) Inward Direct Seed: 14 Index: 101 Pass to Bab-il (north) Seed: 14 Index: 101 Recruit Edge Seed: 14 Index: 123 Remove Dwarf Axe in Edge Menu Seed: 14 Index: 123 Pass to Bab-il (north) Seed: 14 Index: 123 Tower of Bab-il 1F Seed: 14 Index: 126 Step 32: 78 / Sorcerer (summons Green D.) x1, BladeMan x2 (7.209s) Tower of Bab-il B2F Seed: 14 Index: 208 Step 4: 79 / Sorcerer (summons BlackCat) x1, BladeMan x2 (7.156s) Step 15: 80 / Mad Ogre x1, BlackCat x1, Balloon x2 (7.166s) Step 47: 81 / Mad Ogre x1, BlackCat x1, Balloon x2 (7.166s) Step 55: 82 / Balloon x4 (7.171s) Tower of Bab-il B3F Seed: 31 Index: 26 Tower of Bab-il B4F Seed: 31 Index: 39 Step 13: 83 / Balloon x3 (7.108s) Step 21: 84 / Egg (Lamia) x1 (7.878s) Step 30: 85 / Balloon x3, Grudger x1 (7.145s) Step 53: 86 / Sorcerer (summons Green D.) x1, BladeMan x2 (7.209s) Tower of Bab-il B3F Seed: 31 Index: 106 Save: Tower of Bab-il B3F Seed: 31 Index: 142 Tower of Bab-il B3F Seed: 31 Index: 142 Tower of Bab-il B4F Seed: 31 Index: 149 Tower of Bab-il B5F Seed: 31 Index: 152 Battle: Rubicant Seed: 31 Index: 179 Equip Dwarf Axe When Removing Strength Ring Seed: 31 Index: 179 Tower of Bab-il B5F Seed: 31 Index: 179 Tower of Bab-il 8F (revisit) Seed: 31 Index: 180 Step 8: 87 / BladeMan x1, BlackCat x1, Q.Lamia x1 (7.188s) Tower of Bab-il 7F (revisit) Seed: 31 Index: 196 Step 24: 88 / Grudger x2, BladeMan x2 (7.291s) Tower of Bab-il 6F (revisit) Seed: 31 Index: 220 Step 33: 89 / Ironman x1, BlackCat x2 (7.210s) Fly to Castle of Dwarves Seed: 48 Index: 14 Underworld (Castle of Dwarves) Seed: 48 Index: 14 Castle of Dwarves Seed: 48 Index: 14 Optional Steps: 0 Underworld (Castle of Dwarves) Seed: 48 Index: 37 Sealed Cave Seed: 48 Index: 38 Underworld (Tomra) Seed: 48 Index: 45 Return to Castle of Dwarves Seed: 48 Index: 46 Castle of Dwarves Seed: 48 Index: 46 Underworld (Castle of Dwarves) Seed: 48 Index: 47 Return to Mysidia Seed: 48 Index: 48 Fly the Falcon to the Big Whale Seed: 48 Index: 48 Overworld (Mysidia) Seed: 48 Index: 48 Fly to Lunar Path Seed: 48 Index: 49 Lunar Overworld Seed: 48 Index: 49 Lunar Path (west) Seed: 48 Index: 54 Step 4: 90 / Red Worm x1, Procyote x1, Juclyote x1 (7.764s) Step 7: 91 / Procyote x1, Pudding x2 (7.804s) Lunar Overworld Seed: 48 Index: 92 Lunar Path (east) Seed: 48 Index: 127 Lunar Overworld Seed: 48 Index: 158 Recruit FuSoYa Seed: 48 Index: 175 Lunar Overworld Seed: 48 Index: 175 Step 11: 92 / Juclyote x2, MoonCell x2, Grenade x1 (8.044s) Lunar Path (east) Seed: 48 Index: 193 Lunar Overworld Seed: 48 Index: 224 Step 12: 93 / MoonCell x2, Pudding x2 (7.923s) Step 22: 94 / Procyote x1, Pudding x2 (7.859s) Lunar Path (west) Seed: 65 Index: 3 Step 25: 95 / Red Worm x1, Procyote x1, Juclyote x1 (7.885s) Step 27: 96 / Balloon x2, Grenade x2 (7.731s) Lunar Overworld Seed: 65 Index: 41 Hummingway Cave Seed: 65 Index: 46 Lunar Overworld Seed: 65 Index: 78 Save: Before Giant of Bab-il Seed: 65 Index: 79 Giant of Bab-il Mouth Seed: 65 Index: 79 Optional Steps: 0 Giant of Bab-il Neck Seed: 65 Index: 97 Giant of Bab-il Chest Seed: 65 Index: 99 Step 25: 97 / Machine x2, Beamer x2 (7.818s) Step 79: 98 / Machine x2, Beamer x2 (7.818s) Giant of Bab-il Stomach Seed: 65 Index: 181 Grind Fight Search Seed: 65 Index: 230 Save: Giant of Bab-il Passage Seed: 65 Index: 230 Giant of Bab-il Passage Seed: 65 Index: 230 Step 2: 99 / Searcher (summons D.Machin) x1, Beamer x2 (7.658s) Step 20: 100 / Searcher (summons Horseman) x1, Beamer x2 (7.604s) Step 27: 101 / Horseman x1, Machine x2 (7.737s) Step 34: 102 / Horseman x1, Machine x2 (7.737s) Step 36: 103 / MacGiant x1, Horseman x1, Beamer x1 (7.674s) Step 74: 104 / Horseman x1, Machine x2 (7.737s) (Step 144: 105 / MacGiant x1, Machine x1, Beamer x1) (Step 166: 106 / MacGiant x1, Machine x1, Beamer x1) (Step 183: 107 / Horseman x1, Machine x2) (Step 221: 108 / MacGiant x1) (Step 255: 109 / MacGiant x1, Machine x1, Beamer x1) Giant of Bab-il Lung Seed: 82 Index: 48 (Step 70: 105 / Searcher (summons D.Machin) x1, Beamer x2) (Step 92: 106 / Searcher (summons D.Machin) x1, Beamer x2) (Step 109: 107 / Searcher (summons Horseman) x1, Beamer x2) (Step 147: 108 / MacGiant x2) (Step 181: 109 / Searcher (summons D.Machin) x1, Beamer x2) (Step 247: 110 / Searcher (summons Horseman) x1, Beamer x2) Battle: Elements Seed: 82 Index: 56 Giant of Bab-il Lung Seed: 82 Index: 56 Giant of Bab-il CPU Seed: 82 Index: 63 Return to Moon Seed: 82 Index: 65 Lunar Overworld Seed: 82 Index: 65 Lunar Path (west) Seed: 82 Index: 70 Lunar Overworld Seed: 82 Index: 108 Step 10: 105 / Balloon x2, Grenade x2 (7.663s) Step 32: 106 / Balloon x2, Grenade x2 (7.663s) Lunar Path (east) Seed: 82 Index: 143 Step 14: 107 / Juclyote x1, Procyote x2 (7.792s) Lunar Overworld Seed: 82 Index: 174 Lunar Subterrane B1 Seed: 82 Index: 191 Step 4: 108 / Warlock x1, Kary x1 (6.350s) Lunar Subterrane B2 Seed: 82 Index: 224 Step 5: 109 / Warlock x1, Kary x1, RedGiant x1 (6.432s) Lunar Subterrane B3 Seed: 82 Index: 253 Lunar Subterrane B4 Seed: 99 Index: 11 Step 28: 110 / D.Bone x1, Warlock x1 (6.366s) Step 39: 111 / King-Ryu x2 (6.739s) Step 40: 112 / King-Ryu x2 (6.739s) Lunar Subterrane B4 Passage Seed: 99 Index: 67 Step 24: 113 / King-Ryu x1, Ging-Ryu x1 (6.738s) Lunar Subterrane B4 Seed: 99 Index: 96 Step 6: 114 / Ging-Ryu x1 (6.682s) Lunar Subterrane B5 Seed: 99 Index: 111 Lunar Subterrane B5 Passage A Seed: 99 Index: 128 Step 20: 115 / King-Ryu x1, Ging-Ryu x1 (6.738s) Lunar Subterrane B5 Seed: 99 Index: 161 Lunar Subterrane B5 Passage B Seed: 99 Index: 170 Step 11: 116 / Tricker x1 (6.815s) Lunar Subterrane B5 Inward Direct Seed: 99 Index: 202 Lunar Subterrane B5 Seed: 99 Index: 202 Get Ninja Star on Lunar Core B3 Seed: 99 Index: 214 Lunar Subterrane B6 Seed: 99 Index: 214 Step 3: 117 / Ging-Ryu x1, RedGiant x1 (6.738s) Lunar Subterrane B6 Passage Seed: 99 Index: 251 Lunar Subterrane B7 Seed: 116 Index: 8 Step 9: 118 / Tricker x1 (6.815s) Save: Lunar Subterrane B7 Save Room Seed: 116 Index: 31 Lunar Subterrane B7 Save Room Seed: 116 Index: 31 Lunar Subterrane B7 Seed: 116 Index: 38 Step 11: 119 / Tricker x1 (6.815s) Step 21: 120 / Tricker x1 (6.815s) Step 50: 121 / D.Fossil x1 (6.354s) Lunar Core B1 Seed: 116 Index: 96 Lunar Core B2 Seed: 116 Index: 164 Step 2: 122 / EvilMask x1 (12.186s) Step 54: 123 / Behemoth x1 (7.413s) Lunar Core B3 Seed: 116 Index: 219 Step 7: 124 / Behemoth x1 (7.413s) Lunar Core B4 Seed: 133 Index: 19 Step 27: 125 / Mind x1 (12.517s) Step 60: 126 / Mind x1 (12.517s)
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.