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Part III: Emerald, Diamond and Pearl breeding combinations compatibilities list

Discussion in 'Archives' started by Peterko, May 28, 2007.

  1. Peterko

    Peterko Never give up!
    is a Researcher Alumnusis a Contributor Alumnus

    Joined:
    Sep 20, 2005
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    1,070
    PART III
    Emerald, Diamond and Pearl breeding combinations compatibilities list


    Find the best parental IV combination for the fastest way to breed the baby you want.

    Other parts of the guide:
    Part I: Introduction to breeding
    http://www.smogon.com/forums/showthread.php?t=20653

    Part II: The Breeding Guide
    http://www.smogon.com/forums/showthread.php?t=20652

    Part IV: Hidden power breeding
    http://www.smogon.com/forums/showthread.php?t=20649


    Table of content, Part III:
    Section „A“: One flawless IV
    Section „B“: Two flawless IVs
    Section „C“: Three flawless IVs
    Section „D“: Four flawless IVs
    Section „E“: Five flawless IVs
    Section „F“: Six flawless IVs


    FORMAT: HP/attack/defense/sp.attack/sp.defense/speed
    -> „31“ means flawless (max) IV
    -> „x“ means any IV except 31

    BABY IVs (flawless ...)
    parent A (IVs) + parent B (IVs) = probability result = in % = one in how many eggs (rounded up)

    -> in the order of best probability (top) to worst (bottom) for a particular baby IV combination

    -> the combinations with three results were calculated „manually“ before X-Act made his program and proven to be accurate, the ones with two results (or one) were calculated by his program

    For example:

    31/x/x/x/x/x (flawless HP)
    31/x/x/x/x/x + 31/x/x/x/x/x = 37/192 = 19.27083333% = 1:6

    means that there is a 1 in 6 chance of the baby having a flawless 31 IV in HP if both the mother and father have a flawless 31 IV in HP. The more exact probability is 37/192, or 19.27083333%.


    ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
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    SECTION „A“: ONE FLAWLESS IV

    31/x/x/x/x/x (flawless HP)
    31/x/x/x/x/x + 31/x/x/x/x/x = 37/192 = 19.27083333% = 1:6
    31/x/x/x/x/x + x/x/x/x/x/x = 21/192 = 10.9375% = 1:10
    x/x/x/x/x/x + x/x/x/x/x/x = 5/192 = 2.604166667% = 1:39

    x/31/x/x/x/x (flawless attack)
    x/31/x/x/x/x + x/31/x/x/x/x = 99/192 = 51.5625% = 1:2
    x/31/x/x/x/x + x/x/x/x/x/x = 51/192 = 26.5625% = 1:4
    x/x/x/x/x/x + x/x/x/x/x/x = 3/192 = 1.5625% = 1:64

    x/x/31/x/x/x (flawless defense)
    x/x/31/x/x/x + x/x/31/x/x/x = 68/192 = 35.41666667% = 1:3
    x/x/31/x/x/x + x/x/x/x/x/x = 36/192 = 18.75% = 1:6
    x/x/x/x/x/x + x/x/x/x/x/x = 4/192 = 2.083333333% = 1:48

    x/x/x/31/x/x (flawless sp.attack)
    x/x/x/31/x/x + x/x/x/31/x/x = 99/192 = 51.5625% = 1:2
    x/x/x/31/x/x + x/x/x/x/x/x = 51/192 = 26.5625% = 1:4
    x/x/x/x/x/x + x/x/x/x/x/x = 3/192 = 1.5625% = 1:64

    x/x/x/x/31/x (flawless sp.defense)
    x/x/x/x/31/x + x/x/x/x/31/x = 99/192 = 51.5625% = 1:2
    x/x/x/x/31/x + x/x/x/x/x/x = 51/192 = 26.5625% = 1:4
    x/x/x/x/x/x + x/x/x/x/x/x = 3/192 = 1.5625% = 1:64

    x/x/x/x/x/31 (flawless speed)
    x/x/x/x/x/31 + x/x/x/x/x/31 = 99/192 = 51.5625% = 1:2
    x/x/x/x/x/31 + x/x/x/x/x/x = 51/192 = 26.5625% = 1:4
    x/x/x/x/x/x + x/x/x/x/x/x = 3/192 = 1.5625% = 1:64


    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––


    SECTION „B“: TWO FLAWLESS IVs

    31/31/x/x/x/x (flawless HP and attack)
    31/31/x/x/x/x + 31/31/x/x/x/x = 2572/30720 = 8.372395833% = 1:12
    31/31/x/x/x/x + x/31/x/x/x/x = 1500/30720 = 4.8828125% = 1:21
    31/31/x/x/x/x + 31/x/x/x/x/x = 1340/30720 = 4.361979167% = 1:23
    31/31/x/x/x/x + x/x/x/x/x/x = 780/30720 = 2.5390625% = 1:40
    31/x/x/x/x/x + x/31/x/x/x/x = 780/30720 = 2.5390625% = 1:40
    x/31/x/x/x/x + x/31/x/x/x/x = 428/30 720 = 1.393229167% = 1:72
    x/31/x/x/x/x + x/x/x/x/x/x = 220/30 720 = 0.716145833% = 1:140
    31/x/x/x/x/x + 31/x/x/x/x/x = 108/30 720 = 0.3515625 = 1:285
    31/x/x/x/x/x + x/x/x/x/x/x = 60/30 720 = 0.1953125% = 1:512
    x/x/x/x/x/x + x/x/x/x/x/x = 12/30 720 = 0.0390625% = 1:2560

    31/x/31/x/x/x (flawless HP and defense)
    31/x/31/x/x/x + 31/x/31/x/x/x = 1456/30 720 = 4.739583333% = 1:22
    31/x/31/x/x/x + x/x/31/x/x/x = 880/30 720 = 2.864583333% = 1:35
    31/x/31/x/x/x + 31/x/x/x/x/x = 800/30 720 = 2.604166667% = 1:39
    31/x/31/x/x/x + x/x/x/x/x/x = 480/30 720 =1.5625% = 1:64
    31/x/x/x/x/x + x/x/31/x/x/x = 480/30 720 =1.5625% = 1:64
    x/x/31/x/x/x + x/x/31/x/x/x = 304/30 720 = 0.989583333% = 1:102
    x/x/31/x/x/x + x/x/x/x/x/x = 160/30 720 = 0.520833333% = 1:192
    31/x/x/x/x/x + 31/x/x/x/x/x = 144/30 720 = 0.46875% = 1:214
    31/x/x/x/x/x + x/x/x/x/x/x = 80/30 720 = 0.260416666% = 1:384
    x/x/x/x/x/x + x/x/x/x/x/x = 16/30 720 = 0.052083333% = 1:1920

    31/x/x/31/x/x (flawless HP and sp.attack)
    31/x/x/31/x/x + 31/x/x/31/x/x = 2572/30720 = 8.372395833% = 1:12
    31/x/x/31/x/x + x/x/x/31/x/x = 1500/30720 = 4.8828125% = 1:21
    31/x/x/31/x/x + 31/x/x/x/x/x = 1340/30720 = 4.361979167% = 1:23
    31/x/x/31/x/x + x/x/x/x/x/x = 780/30 720 = 2.5390625 = 1:40
    31/x/x/x/x/x + x/x/x/31/x/x = 780/30 720 = 2.5390625 = 1:40
    x/x/x/31/x/x + x/x/x/31/x/x = 428/30 720 = 1.393229167% = 1:72
    x/x/x/31/x/x + x/x/x/x/x/x = 220/30 720 = 0.716145833% = 1:140
    31/x/x/x/x/x + 31/x/x/x/x/x = 108/30 720 = 0.3515625 = 1:285
    31/x/x/x/x/x + x/x/x/x/x/x = 60/30 720 = 0.1953125% = 1:512
    x/x/x/x/x/x + x/x/x/x/x/x = 12/30 720 = 0.0390625% = 1:2560

    31/x/x/x/31/x (flawless HP and sp.defense)
    31/x/x/x/31/x + 31/x/x/x/31/x = 2572/30720 = 8.372395833% = 1:12
    31/x/x/x/31/x + x/x/x/x/31/x = 1500/30720 = 4.8828125% = 1:21
    31/x/x/x/31/x + 31/x/x/x/x/x = 1340/30720 = 4.361979167% = 1:23
    31/x/x/x/31/x + x/x/x/x/x/x = 780/30 720 = 2.5390625 = 1:40
    31/x/x/x/x/x + x/x/x/x/31/x = 780/30 720 = 2.5390625 = 1:40
    x/x/x/x/31/x + x/x/x/x/31/x = 428/30 720 = 1.393229167% = 1:72
    x/x/x/x/31/x + x/x/x/x/x/x = 220/30 720 = 0.716145833% = 1:140
    31/x/x/x/x/x + 31/x/x/x/x/x = 108/30 720 = 0.3515625 = 1:285
    31/x/x/x/x/x + x/x/x/x/x/x = 60/30 720 = 0.1953125% = 1:512
    x/x/x/x/x/x + x/x/x/x/x/x = 12/30 720 = 0.0390625% = 1:2560

    31/x/x/x/x/31 (flawless HP and speed)
    31/x/x/x/x/31 + 31/x/x/x/x/31 = 2572/30720 = 8.372395833% = 1:12
    31/x/x/x/x/31 + x/x/x/x/x/31 = 1500/30720 = 4.8828125% = 1:21
    31/x/x/x/x/31 + 31/x/x/x/x/x = 1340/30720 = 4.361979167% = 1:23
    31/x/x/x/x/31 + x/x/x/x/x/x = 780/30 720 = 2.5390625 = 1:40
    31/x/x/x/x/x + x/x/x/x/x/31 = 780/30 720 = 2.5390625 = 1:40
    x/x/x/x/x/31 + x/x/x/x/x/31 = 428/30 720 = 1.393229167% = 1:72
    x/x/x/x/x/31 + x/x/x/x/x/x = 220/30 720 = 0.716145833% = 1:140
    31/x/x/x/x/x + 31/x/x/x/x/x = 108/30 720 = 0.3515625 = 1:285
    31/x/x/x/x/x + x/x/x/x/x/x = 60/30 720 = 0.1953125% = 1:512
    x/x/x/x/x/x + x/x/x/x/x/x = 12/30 720 = 0.0390625% = 1:2560

    x/31/31/x/x/x (flawless attack and defense)
    x/31/31/x/x/x +x/31/31/x/x/x = 4649/30 720 = 15.13346354% = 1:7
    x/31/31/x/x/x + x/31/x/x/x/x = 2505/30 720 = 8.154296875% = 1:13
    x/31/31/x/x/x + x/x/31/x/x/x = 2425/30 720 = 7.893880208% = 1:13
    x/31/31/x/x/x + x/x/x/x/x/x = 1305/30 720 = 4.248046875% = 1:24
    x/31/x/x/x/x + x/x/31/x/x/x = 1305/30 720 = 4.248046875% = 1:24
    x/31/x/x/x/x + x/31/x/x/x/x = 361/30 720 = 1.175130208% = 1:86
    x/x/31/x/x/x + x/x/31/x/x/x = 201/30 720 = 0.654296875% = 1:153
    x/31/x/x/x/x + x/x/x/x/x/x = 185/30 720 = 0.602213541% = 1:167
    x/x/31/x/x/x + x/x/x/x/x/x = 105/30 720 = 0.341796875% = 1:293
    x/x/x/x/x/x + x/x/x/x/x/x = 9/30 720 = 0.029296875 = 1:3414

    x/31/x/31/x/x (flawless attack and sp.attack)
    x/31/x/31/x/x + x/31/x/31/x/x = 6726/30 720 = 21.89453125% = 1:5
    x/31/x/31/x/x + x/31/x/x/x/x = 3510/30 720 = 11.42578125% = 1:9
    x/31/x/31/x/x + x/x/x/31/x/x = 3510/30 720 = 11.42578125% = 1:9
    x/31/x/31/x/x + x/x/x/x/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/31/x/x/x/x + x/x/x/31/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/31/x/x/x/x + x/31/x/x/x/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/31/x/x + x/x/x/31/x/x = 294/30 720 = 0.95703125% = 1:105
    x/31/x/x/x/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/31/x/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/x + x/x/x/x/x/x = 6/30 720 = 0.01953125 = 1:5120

    x/31/x/x/31/x (flawless attack and sp.defense)
    x/31/x/x/31/x + x/31/x/x/31/x = 6726/30 720 = 21.89453125% = 1:5
    x/31/x/x/31/x + x/31/x/x/x/x = 3510/30 720 = 11.42578125% = 1:9
    x/31/x/x/31/x + x/x/x/x/31/x = 3510/30 720 = 11.42578125% = 1:9
    x/31/x/x/31/x + x/x/x/x/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/31/x/x/x/x + x/x/x/x/31/x = 1830/30 720 = 5.95703125% = 1:17
    x/31/x/x/x/x + x/31/x/x/x/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/x/31/x + x/x/x/x/31/x = 294/30 720 = 0.95703125% = 1:105
    x/31/x/x/x/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/31/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/x + x/x/x/x/x/x = 6/30 720 = 0.01953125 = 1:5120

    x/31/x/x/x/31 (flawless attack and speed)
    x/31/x/x/x/31 + x/31/x/x/x/31 = 6726/30 720 = 21.89453125% = 1:5
    x/31/x/x/x/31 + x/31/x/x/x/x = 3510/30 720 = 11.42578125% = 1:9
    x/31/x/x/x/31 + x/x/x/x/x/31 = 3510/30 720 = 11.42578125% = 1:9
    x/31/x/x/x/31 + x/x/x/x/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/31/x/x/x/x + x/x/x/x/x/31 = 1830/30 720 = 5.95703125% = 1:17
    x/31/x/x/x/x + x/31/x/x/x/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/x/x/31 + x/x/x/x/x/31 = 294/30 720 = 0.95703125% = 1:105
    x/31/x/x/x/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/31 + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/x + x/x/x/x/x/x = 6/30 720 = 0.01953125 = 1:5120

    x/x/31/31/x/x (flawless defense and sp.attack)
    x/x/31/31/x/x + x/x/31/31/x/x = 4649/30 720 = 15.13346354% = 1:7
    x/x/31/31/x/x + x/x/x/31/x/x = 2505/30 720 = 8.154296875% = 1:13
    x/x/31/31/x/x + x/x/31/x/x/x = 2425/30 720 = 7.893880208% = 1:13
    x/x/31/31/x/x + x/x/x/x/x/x = 1305/30 720 = 4.248046875% = 1:24
    x/x/31/x/x/x + x/x/x/31/x/x = 1305/30 720 = 4.248046875% = 1:24
    x/x/x/31/x/x + x/x/x/31/x/x = 361/30 720 = 1.175130208% = 1:86
    x/x/31/x/x/x + x/x/31/x/x/x = 201/30 720 = 0.654296875% = 1:153
    x/x/x/31/x/x + x/x/x/x/x/x = 185/30 720 = 0.602213541% = 1:167
    x/x/31/x/x/x + x/x/x/x/x/x = 105/30 720 = 0.341796875% = 1:293
    x/x/x/x/x/x + x/x/x/x/x/x = 9/30 720 = 0.029296875 = 1:3414

    x/x/31/x/31/x (flawless defense and sp.defense)
    x/x/31/x/31/x + x/x/31/x/31/x = 4649/30 720 = 15.13346354% = 1:7
    x/x/31/x/31/x + x/x/x/x/31/x = 2505/30 720 = 8.154296875% = 1:13
    x/x/31/x/31/x + x/x/31/x/x/x = 2425/30 720 = 7.893880208% = 1:13
    x/x/31/x/31/x + x/x/x/x/x/x = 1305/30 720 = 4.248046875% = 1:24
    x/x/31/x/x/x + x/x/x/x/31/x = 1305/30 720 = 4.248046875% = 1:24
    x/x/x/x/31/x + x/x/x/x/31/x = 361/30 720 = 1.175130208% = 1:86
    x/x/31/x/x/x + x/x/31/x/x/x = 201/30 720 = 0.654296875% = 1:153
    x/x/x/x/31/x + x/x/x/x/x/x = 185/30 720 = 0.602213541% = 1:167
    x/x/31/x/x/x + x/x/x/x/x/x = 105/30 720 = 0.341796875% = 1:293
    x/x/x/x/x/x + x/x/x/x/x/x = 9/30 720 = 0.029296875 = 1:3414

    x/x/31/x/x/31 (flawless defense and speed)
    x/x/31/x/x/31 + x/x/31/x/x/31 = 4649/30 720 = 15.13346354% = 1:7
    x/x/31/x/x/31 + x/x/x/x/x/31 = 2505/30 720 = 8.154296875% = 1:13
    x/x/31/x/x/31 + x/x/31/x/x/x = 2425/30 720 = 7.893880208% = 1:13
    x/x/31/x/x/31 + x/x/x/x/x/x = 1305/30 720 = 4.248046875% = 1:24
    x/x/31/x/x/x + x/x/x/x/x/31 = 1305/30 720 = 4.248046875% = 1:24
    x/x/x/x/x/31 + x/x/x/x/x/31 = 361/30 720 = 1.175130208% = 1:86
    x/x/31/x/x/x + x/x/31/x/x/x = 201/30 720 = 0.654296875% = 1:153
    x/x/x/x/x/31 + x/x/x/x/x/x = 185/30 720 = 0.602213541% = 1:167
    x/x/31/x/x/x + x/x/x/x/x/x = 105/30 720 = 0.341796875% = 1:293
    x/x/x/x/x/x + x/x/x/x/x/x = 9/30 720 = 0.029296875 = 1:3414

    x/x/x/31/31/x (flawless sp.attack and sp.defense)
    x/x/x/31/31/x + x/x/x/31/31/x = 6726/30 720 = 21.89453125% = 1:5
    x/x/x/31/31/x + x/x/x/31/x/x = 3510/30 720 = 11.42578125% = 1:9
    x/x/x/31/31/x + x/x/x/x/31/x = 3510/30 720 = 11.42578125% = 1:9
    x/x/x/31/31/x + x/x/x/x/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/x/x/31/x/x + x/x/x/x/31/x = 1830/30 720 = 5.95703125% = 1:17
    x/x/x/31/x/x + x/x/x/31/x/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/x/31/x + x/x/x/x/31/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/31/x/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/31/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/x + x/x/x/x/x/x = 6/30 720 = 0.01953125 = 1:5120

    x/x/x/31/x/31 (flawless sp.attack and speed)
    x/x/x/31/x/31 + x/x/x/31/x/31 = 6726/30 720 = 21.89453125% = 1:5
    x/x/x/31/x/31 + x/x/x/31/x/x = 3510/30 720 = 11.42578125% = 1:9
    x/x/x/31/x/31 + x/x/x/x/x/31 = 3510/30 720 = 11.42578125% = 1:9
    x/x/x/31/x/31 + x/x/x/x/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/x/x/31/x/x + x/x/x/x/x/31 = 1830/30 720 = 5.95703125% = 1:17
    x/x/x/31/x/x + x/x/x/31/x/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/x/x/31 + x/x/x/x/x/31 = 294/30 720 = 0.95703125% = 1:105
    x/x/x/31/x/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/31 + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/x + x/x/x/x/x/x = 6/30 720 = 0.01953125 = 1:5120

    x/x/x/x/31/31 (flawless sp.defense and speed)
    x/x/x/x/31/31 + x/x/x/x/31/31 = 6726/30 720 = 21.89453125% = 1:5
    x/x/x/x/31/31 + x/x/x/x/31/x = 3510/30 720 = 11.42578125% = 1:9
    x/x/x/x/31/31 + x/x/x/x/x/31 = 3510/30 720 = 11.42578125% = 1:9
    x/x/x/x/31/31 + x/x/x/x/x/x = 1830/30 720 = 5.95703125% = 1:17
    x/x/x/x/31/x + x/x/x/x/x/31 = 1830/30 720 = 5.95703125% = 1:17
    x/x/x/x/31/x + x/x/x/x/31/x = 294/30 720 = 0.95703125% = 1:105
    x/x/x/x/x/31 + x/x/x/x/x/31 = 294/30 720 = 0.95703125% = 1:105
    x/x/x/x/31/x + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/31 + x/x/x/x/x/x = 150/30 720 = 0.48828125% = 1:205
    x/x/x/x/x/x + x/x/x/x/x/x = 6/30 720 = 0.01953125 = 1:5120


    ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
    ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––


    SECTION „C“: THREE FLAWLESS IVs

    31/31/31/x/x/x (flawless HP, attack and defense)
    31/31/31/x/x/x + 31/31/31/x/x/x = 60 539 / 3 932 160 = 1.539586385% = 1:65
    31/31/31/x/x/x + x/31/31/x/x/x = 38 891 / 3 932 160 = 0.9890492759% = 1:102
    31/31/31/x/x/x + 31/31/x/x/x/x = 34 603 / 3 932 160 = 0.8799997965% = 1:114
    31/31/31/x/x/x + 31/x/31/x/x/x = 32 299 / 3 932 160 = 0.8214060465% = 1:122
    31/31/31/x/x/x + x/31/x/x/x/x = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/31/x/x/x/x + x/31/31/x/x/x = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/31/31/x/x/x + x/x/31/x/x/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/x/x/x + x/31/31/x/x/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/31/31/x/x/x + 31/x/x/x/x/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    31/31/x/x/x/x + 31/x/31/x/x/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    x/31/31/x/x/x + x/31/31/x/x/x = 17 243 / 3 932 160 = 0.438512166% = 1:229
    x/31/31/x/x/x + 31/x/x/x/x/x = 0.295% = 1:340
    31/x/31/x/x/x + x/31/x/x/x/x = 0.295% = 1:340
    31/31/x/x/x/x + x/x/31/x/x/x = 0.295% = 1:340
    31/31/31/x/x/x + x/x/x/x/x/x = 0.295% = 1:340
    31/31/x/x/x/x + 31/31/x/x/x/x = 8667 / 3 932 160 = 0.220413208% = 1:454
    31/x/31/x/x/x + 31/x/31/x/x/x = 4059 / 3 932 160 = 0.103225708% = 1:969

    31/31/x/31/x/x (flawless HP, attack and sp.attack)
    31/31/x/31/x/x + 31/31/x/31/x/x = 102 482 / 3 932 160 = 2.606252035 % = 1:39
    31/31/x/31/x/x + x/31/x/31/x/x = 63 474 / 3 932 160 = 1.614227295% = 1:62
    31/31/x/31/x/x + 31/31/x/x/x/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/31/x/31/x/x + 31/x/x/31/x/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/31/x/31/x/x + x/31/x/x/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/x/x + x/31/31/x/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/31/x/x + x/x/x/31/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/x/x + x/31/x/31/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/31/x/x + 31/x/x/x/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    31/31/x/x/x/x + 31/x/x/31/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    x/31/x/31/x/x + x/31/x/31/x/x = 24 466 / 3 932 160 = 0.622202555% = 1:161
    31/31/x/x/x/x + x/x/x/31/x/x = 0.457% = 1:219
    31/x/31/x/x/x + x/31/x/x/x/x = 0.457% = 1:219
    x/31/x/31/x/x + 31/x/x/x/x/x = 0.457% = 1:219
    31/31/x/31/x/x + x/x/x/x/x/x = 0.457% = 1:219
    31/x/x/31/x/x + 31/x/x/31/x/x = 7314 / 3 932 160 = 0.186004638% = 1:538
    31/31/x/x/x/x + 31/31/x/x/x/x = 7314 / 3 932 160 = 0.186004638% = 1:538

    31/31/x/x/31/x (flawless HP, attack and sp.defense)
    31/31/x/x/31/x + 31/31/x/x/31/x = 102 482 / 3 932 160 = 2.606252035 % = 1:39
    31/31/x/x/31/x + x/31/x/x/31/x = 63 474 / 3 932 160 = 1.614227295% = 1:62
    31/31/x/x/31/x + 31/31/x/x/x/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/31/x/x/31/x + 31/x/x/x/31/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/31/x/x/31/x + x/31/x/x/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/x/x + x/31/x/x/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/31/x + x/x/x/x/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/31/x + x/31/x/x/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/31/x + 31/x/x/x/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    31/31/x/x/x/x + 31/x/x/x/31/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    x/31/x/x/31/x + x/31/x/x/31/x = 24 466 / 3 932 160 = 0.622202555% = 1:161
    31/31/x/x/x/x + x/x/x/x/31/x = 0.457% = 1:219
    31/x/x/x/31/x + x/31/x/x/x/x = 0.457% = 1:219
    x/31/x/x/31/x + 31/x/x/x/x/x = 0.457% = 1:219
    31/31/31/x/x/x + x/x/x/x/x/x = 0.457% = 1:219
    31/31/x/x/x/x + 31/31/x/x/x/x = 7314 / 3 932 160 = 0.186004638% = 1:538
    31/x/x/x/31/x + 31/x/x/x/31/x = 7314 / 3 932 160 = 0.186004638% = 1:538

    31/31/x/x/x/31 (flawless HP, attack and speed)
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 102 482 / 3 932 160 = 2.606252035 % = 1:39
    31/31/x/x/x/31 + x/31/x/x/x/31 = 63 474 / 3 932 160 = 1.614227295% = 1:62
    31/31/x/x/x/31 + 31/31/x/x/x/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/31/x/x/x/31 + 31/x/x/x/x/31 = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/31/x/x/x/31 + x/31/x/x/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/x/x + x/31/x/x/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/x/31 + x/x/x/x/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/x/31 + x/31/x/x/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/31/x/x/x/31 + 31/x/x/x/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    31/31/x/x/x/x + 31/x/x/x/x/31 = 29 330 / 3 932 160 = 0.745900472 = 1:135
    x/31/x/x/x/31 + x/31/x/x/x/31 = 24 466 / 3 932 160 = 0.622202555% = 1:161
    31/31/x/x/x/x + x/x/x/x/x/31 = 0.457% = 1:219
    31/x/x/x/x/31 + x/31/x/x/x/x = 0.457% = 1:219
    x/31/x/x/x/31 + 31/x/x/x/x/x = 0.457% = 1:219
    31/31/x/x/x/31 + x/x/x/x/x/x = 0.457% = 1:219
    31/31/x/x/x/x + 31/31/x/x/x/x = 7314 / 3 932 160 = 0.186004638% = 1:538
    31/x/x/x/x/31 + 31/x/x/x/x/31 = 7314 / 3 932 160 = 0.186004638% = 1:538

    31/x/31/31/x/x (flawless HP, defense and sp.attack)
    31/x/31/31/x/x + 31/x/31/31/x/x = 60 539 / 3 932 160 = 1.539586385 % = 1:65
    31/x/31/31/x/x + x/x/31/31/x/x = 38 891/3 932 160 = 0.9890492759% = 1:102
    31/x/31/31/x/x + 31/x/x/31/x/x = 34 603/3 932 160 = 0.8799997965% = 1:114
    31/x/31/31/x/x + 31/x/31/x/x/x = 32 299/3 932 160 = 0.8214060465% = 1:122
    31/x/31/31/x/x + x/x/x/31/x/x = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/x/x/31/x/x + x/x/31/31/x/x = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/x/31/31/x/x + x/x/31/x/x/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/x/x/x + x/x/31/31/x/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/31/x/x + 31/x/x/x/x/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    31/x/31/x/x/x + 31/x/x/31/x/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    x/x/31/31/x/x + x/x/31/31/x/x = 17 243/3 932 160 = 0.438512166% = 1:229
    31/x/31/x/x/x + x/x/x/31/x/x = 0.295% = 1:340
    31/x/x/31/x/x + x/x/31/x/x/x = 0.295% = 1:340
    x/x/31/31/x/x + 31/x/x/x/x/x = 0.295% = 1:340
    31/x/31/31/x/x + x/x/x/x/x/x = 0.295% = 1:340
    31/x/x/31/x/x + 31/x/x/31/x/x = 8667/3 932 160 = 0.220413208% = 1:454
    31/x/31/x/x/x + 31/x/31/x/x/x = 4059/3 932 160 = 0.103225708% = 1:969

    31/x/31/x/31/x (flawless HP, defense and sp.defense)
    31/x/31/x/31/x + 31/x/31/x/31/x = 60 539 / 3 932 160 = 1.539586385 % = 1:65
    31/x/31/x/31/x + x/x/31/x/31/x = 38 891/3 932 160 = 0.9890492759% = 1:102
    31/x/31/x/31/x + 31/x/x/x/31/x = 34 603/3 932 160 = 0.8799997965% = 1:114
    31/x/31/x/31/x + 31/x/31/x/x/x = 32 299/3 932 160 = 0.8214060465% = 1:122
    31/x/31/x/31/x + x/x/x/x/31/x = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/x/x/x/31/x + x/x/31/x/31/x = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/x/31/x/31/x + x/x/31/x/x/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/x/x/x + x/x/31/x/31/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/x/31/x + 31/x/x/x/x/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    31/x/31/x/x/x + 31/x/x/x/31/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    x/x/31/x/31/x + x/x/31/x/31/x = 17 243/3 932 160 = 0.438512166% = 1:229
    31/x/31/x/x/x + x/x/x/x/31/x = 0.295% = 1:340
    31/x/x/x/31/x + x/x/31/x/x/x = 0.295% = 1:340
    x/x/31/x/31/x + 31/x/x/x/x/x = 0.295% = 1:340
    31/x/31/x/31/x + x/x/x/x/x/x = 0.295% = 1:340
    31/x/x/x/31/x + 31/x/x/x/31/x = 8667/3 932 160 = 0.220413208% = 1:454
    31/x/31/x/x/x + 31/x/31/x/x/x = 4059/3 932 160 = 0.103225708% = 1:969

    31/x/31/x/x/31 (flawless HP, defense and speed)
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 60 539 / 3 932 160 = 1.539586385 % = 1:65
    31/x/31/x/x/31 + x/x/31/x/x/31 = 38 891/3 932 160 = 0.9890492759% = 1:102
    31/x/31/x/x/31 + 31/x/x/x/x/31 = 34 603/3 932 160 = 0.8799997965% = 1:114
    31/x/31/x/x/31 + 31/x/31/x/x/x = 32 299/3 932 160 = 0.8214060465% = 1:122
    31/x/31/x/x/31 + x/x/x/x/x/31 = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/x/x/x/x/31 + x/x/31/x/x/31 = 21 915 / 3 932 160 = 0.55732727% = 1:180
    31/x/31/x/x/31 + x/x/31/x/x/x = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/x/x/x + x/x/31/x/x/31 = 20 635 / 3 932 160 = 0.524775187% = 1:191
    31/x/31/x/x/31 + 31/x/x/x/x/x = 18 395 / 3 932 160 = 0.467809041% = 1:214
    31/x/31/x/x/x + 31/x/x/x/x/31 = 18 395 / 3 932 160 = 0.467809041% = 1:214
    x/x/31/x/x/31 + x/x/31/x/x/31 = 17 243/3 932 160 = 0.438512166% = 1:229
    31/x/31/x/x/x + x/x/x/x/x/31 = 0.295% = 1:340
    31/x/x/x/x/31 + x/x/31/x/x/x = 0.295% = 1:340
    x/x/31/x/x/31 + 31/x/x/x/x/x = 0.295% = 1:340
    31/x/31/x/x/31 + x/x/x/x/x/x = 0.295% = 1:340
    31/x/x/x/x/31 + 31/x/x/x/x/31 = 8667/3 932 160 = 0.220413208% = 1:454
    31/x/31/x/x/x + 31/x/31/x/x/x = 4059/3 932 160 = 0.103225708% = 1:969

    31/x/x/31/31/x (flawless HP, sp.attack and sp.defense)
    31/x/x/31/31/x + 31/x/x/31/31/x = 102 482 / 3 932 160 = 2.606252035 % = 1:39
    31/x/x/31/31/x + x/x/x/31/31/x = 63 474 / 3 932 160 = 1.614227295% = 1:62
    31/x/x/31/31/x + 31/x/x/31/x/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/x/x/31/31/x + 31/x/x/x/31/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/x/x/31/31/x + x/x/x/31/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/x/x + x/x/x/31/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/31/x + x/x/x/x/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/31/x + x/x/x/31/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/31/x + 31/x/x/x/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    31/x/x/31/x/x + 31/x/x/31/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    x/x/x/31/31/x + x/x/x/31/31/x = 24 466 / 3 932 160 = 0.622202555% = 1:161
    31/x/x/31/x/x + x/x/x/x/31/x = 0.457% = 1:219
    31/x/x/x/31/x + x/x/x/31/x/x = 0.457% = 1:219
    x/x/x/31/31/x + 31/x/x/x/x/x = 0.457% = 1:219
    31/x/x/31/31/x + x/x/x/x/x/x = 0.457% = 1:219
    31/x/x/31/x/x + 31/x/x/31/x/x = 7314 / 3 932 160 = 0.186004638% = 1:538
    31/x/x/x/31/x + 31/x/x/x/31/x = 7314 / 3 932 160 = 0.186004638% = 1:538

    31/x/x/31/x/31 (flawless HP, sp.attack and speed)
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 102 482 / 3 932 160 = 2.606252035 % = 1:39
    31/x/x/31/x/31 + x/x/x/31/x/31 = 63 474 / 3 932 160 = 1.614227295% = 1:62
    31/x/x/31/x/31 + 31/x/x/31/x/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/x/x/31/x/31 + 31/x/x/x/x/31 = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/x/x/31/x/31 + x/x/x/31/x/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/x/x + x/x/x/31/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/x/31 + x/x/x/x/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/x/31 + x/x/x/31/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/31/x/31 + 31/x/x/x/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    31/x/x/31/x/x + 31/x/x/x/x/31 = 29 330 / 3 932 160 = 0.745900472 = 1:135
    x/x/x/31/x/31 + x/x/x/31/x/31 = 24 466 / 3 932 160 = 0.622202555% = 1:161
    31/x/x/31/x/x + x/x/x/x/x/31 = 0.457% = 1:219
    31/x/x/x/x/31 + x/x/x/31/x/x = 0.457% = 1:219
    x/x/x/31/x/31 + 31/x/x/x/x/x = 0.457% = 1:219
    31/x/x/31/x/31 + x/x/x/x/x/x = 0.457% = 1:219
    31/x/x/31/x/x + 31/x/x/31/x/x = 7314 / 3 932 160 = 0.186004638% = 1:538
    31/x/x/x/x/31 + 31/x/x/x/x/31 = 7314 / 3 932 160 = 0.186004638% = 1:538

    31/x/x/x/31/31 (flawless HP, sp.defense and speed)
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 102 482 / 3 932 160 = 2.606252035 % = 1:39
    31/x/x/x/31/31 + x/x/x/x/31/31 = 63 474 / 3 932 160 = 1.614227295% = 1:62
    31/x/x/x/31/31 + 31/x/x/x/31/x = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/x/x/x/31/31 + 31/x/x/x/x/31 = 53 362 / 3 932 160 = 1.357065837% = 1:74
    31/x/x/x/31/31 + x/x/x/x/31/x = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/31/x + x/x/x/x/31/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/31/31 + x/x/x/x/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/x/31 + x/x/x/x/31/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117
    31/x/x/x/31/31 + 31/x/x/x/x/x = 29 330 / 3 932 160 = 0.745900472 = 1:135
    31/x/x/x/31/x + 31/x/x/x/x/31 = 29 330 / 3 932 160 = 0.745900472 = 1:135
    x/x/x/x/31/31 + x/x/x/x/31/31 = 24 466 / 3 932 160 = 0.622202555% = 1:161
    31/x/x/x/31/x + x/x/x/x/x/31 = 0.457% = 1:219
    31/x/x/x/x/31 + x/x/x/x/31/x = 0.457% = 1:219
    x/x/x/x/31/31 + 31/x/x/x/x/x = 0.457% = 1:219
    31/x/x/x/31/31 + x/x/x/x/x/x = 0.457% = 1:219
    31/x/x/x/31/x + 31/x/x/x/31/x = 7314 / 3 932 160 = 0.186004638% = 1:538
    31/x/x/x/x/31 + 31/x/x/x/x/31 = 7314 / 3 932 160 = 0.186004638% = 1:538

    x/31/31/31/x/x (flawless attack, defense and sp.attack)
    x/31/31/31/x/x + x/31/31/31/x/x = 178 060 / 3 932 160 = 4.528299967% = 1:23
    x/31/31/31/x/x + x/31/x/31/x/x = 100 044 / 3 932 160 = 2.544250488% = 1:40
    x/31/31/31/x/x + x/31/31/x/x/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/31/31/31/x/x + x/x/31/31/x/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/31/31/31/x/x + x/31/x/x/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/x/x + x/31/x/31/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/31/x/x + x/x/x/31/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/x/31/x/x + x/x/31/31/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/31/x/x + x/x/31/x/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/31/31/x/x/x + x/x/31/31/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/31/31/x/x/x + x/x/x/31/x/x = 0.728% = 1:138
    x/31/x/31/x/x + x/x/31/x/x/x = 0.728% = 1:138
    x/x/31/31/x/x + x/31/x/x/x/x = 0.728% = 1:138
    x/31/31/31/x/x + x/x/x/x/x/x = 0.728% = 1:138
    x/31/x/31/x/x + x/31/x/31/x/x = 22 028 / 3 932 160 = 0.560201009% = 1:179
    x/31/31/x/x/x + x/31/31/x/x/x = 13 452 / 3 932 160 = 0.34210205% = 1:293
    x/x/31/31/x/x + x/x/31/31/x/x = 13 452 / 3 932 160 = 0.34210205% = 1:293

    x/31/31/x/31/x (flawless attack, defense and sp.defense)
    x/31/31/x/31/x + x/31/31/x/31/x = 178 060 / 3 932 160 = 4.528299967% = 1:23
    x/31/31/x/31/x + x/31/x/x/31/x = 100 044 / 3 932 160 = 2.544250488% = 1:40
    x/31/31/x/31/x + x/31/31/x/x/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/31/31/x/31/x + x/x/31/x/31/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/31/31/x/31/x + x/31/x/x/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/x/x + x/31/x/x/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/31/x + x/x/x/x/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/x/x/31/x + x/x/31/x/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/31/x + x/x/31/x/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/31/31/x/x/x + x/x/31/x/31/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/31/31/x/x/x + x/x/x/x/31/x = 0.728% = 1:138
    x/31/x/x/31/x + x/x/31/x/x/x = 0.728% = 1:138
    x/x/31/x/31/x + x/31/x/x/x/x = 0.728% = 1:138
    x/31/31/x/31/x + x/x/x/x/x/x = 0.728% = 1:138
    x/31/x/x/31/x + x/31/x/x/31/x = 22 028 / 3 932 160 = 0.560201009% = 1:179
    x/31/31/x/x/x + x/31/31/x/x/x = 13 452 / 3 932 160 = 0.34210205% = 1:293
    x/x/31/x/31/x + x/x/31/x/31/x = 13 452 / 3 932 160 = 0.34210205% = 1:293

    x/31/31/x/x/31 (flawless attack, defense and speed)
    x/31/31/x/x/31 + x/31/31/x/x/31 = 178 060 / 3 932 160 = 4.528299967% = 1:23
    x/31/31/x/x/31 + x/31/x/x/x/31 = 100 044 / 3 932 160 = 2.544250488% = 1:40
    x/31/31/x/x/31 + x/31/31/x/x/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/31/31/x/x/31 + x/x/31/x/x/31 = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/31/31/x/x/31 + x/31/x/x/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/x/x + x/31/x/x/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/x/31 + x/x/x/x/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/x/x/x/31 + x/x/31/x/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/31/31/x/x/31 + x/x/31/x/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/31/31/x/x/x + x/x/31/x/x/31 = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/31/31/x/x/x + x/x/x/x/x/31 = 0.728% = 1:138
    x/31/x/x/x/31 + x/x/31/x/x/x = 0.728% = 1:138
    x/x/31/x/x/31 + x/31/x/x/x/x = 0.728% = 1:138
    x/31/31/x/x/31 + x/x/x/x/x/x = 0.728% = 1:138
    x/31/x/x/x/31 + x/31/x/x/x/31 = 22 028 / 3 932 160 = 0.560201009% = 1:179
    x/31/31/x/x/x + x/31/31/x/x/x = 13 452 / 3 932 160 = 0.34210205% = 1:293
    x/x/31/x/x/31 + x/x/31/x/x/31 = 13 452 / 3 932 160 = 0.34210205% = 1:293

    x/31/x/31/31/x (flawless attack, sp.attack and sp.defense)
    x/31/x/31/31/x + x/31/x/31/31/x = 253 638 / 3 932 160 = 6.4503479% = 1:16
    x/31/x/31/31/x + x/31/x/31/x/x = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/31/31/x + x/31/x/x/31/x = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/31/31/x + x/x/x/31/31/x = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/31/31/x + x/31/x/x/x/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/x + x/31/x/x/31/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/31/x + x/x/x/31/x/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/x + x/x/x/31/31/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/31/x + x/x/x/x/31/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/31/x + x/x/x/31/31/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/x + x/x/x/x/31/x = 0.999% = 1:101
    x/31/x/x/31/x + x/x/x/31/x/x = 0.999% = 1:101
    x/x/x/31/31/x + x/31/x/x/x/x = 0.999% = 1:101
    x/31/x/31/31/x + x/x/x/x/x/x = 0.999% = 1:101
    x/31/x/31/x/x + x/31/x/31/x/x = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/31/x/x/31/x + x/31/x/x/31/x = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/x/x/31/31/x + x/x/x/31/31/x = 19 590 / 3 932 160 = 0.498199462% = 1:201

    x/31/x/31/x/31 (flawless attack, sp.attack and speed)
    x/31/x/31/x/31 + x/31/x/31/x/31 = 253 638 / 3 932 160 = 6.4503479% = 1:16
    x/31/x/31/x/31 + x/31/x/31/x/x = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/31/x/31 + x/31/x/x/x/31 = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/31/x/31 + x/x/x/31/x/31 = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/31/x/31 + x/31/x/x/x/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/x + x/31/x/x/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/31 + x/x/x/31/x/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/x + x/x/x/31/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/31 + x/x/x/x/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/x/31 + x/x/x/31/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/31/x/x + x/x/x/x/x/31 = 0.999% = 1:101
    x/31/x/x/x/31 + x/x/x/31/x/x = 0.999% = 1:101
    x/x/x/31/x/31 + x/31/x/x/x/x = 0.999% = 1:101
    x/31/x/31/x/31 + x/x/x/x/x/x = 0.999% = 1:101
    x/31/x/31/x/x + x/31/x/31/x/x = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/31/x/x/x/31 + x/31/x/x/x/31 = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/x/x/31/x/31 + x/x/x/31/x/31 = 19 590 / 3 932 160 = 0.498199462% = 1:201

    x/31/x/x/31/31 (flawless attack, sp.defense and speed)
    x/31/x/x/31/31 + x/31/x/x/31/31 = 253 638 / 3 932 160 = 6.4503479% = 1:16
    x/31/x/x/31/31 + x/31/x/x/31/x = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/x/31/31 + x/31/x/x/x/31 = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/x/31/31 + x/x/x/x/31/31 = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/31/x/x/31/31 + x/31/x/x/x/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/31/x + x/31/x/x/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/31/31 + x/x/x/x/31/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/31/x + x/x/x/x/31/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/31/31 + x/x/x/x/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/x/31 + x/x/x/x/31/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/31/x/x/31/x + x/x/x/x/x/31 = 0.999% = 1:101
    x/31/x/x/x/31 + x/x/x/x/31/x = 0.999% = 1:101
    x/x/x/x/31/31 + x/31/x/x/x/x = 0.999% = 1:101
    x/31/x/x/31/31 + x/x/x/x/x/x = 0.999% = 1:101
    x/31/x/x/31/x + x/31/x/x/31/x = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/31/x/x/x/31 + x/31/x/x/x/31 = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/x/x/x/31/31 + x/x/x/x/31/31 = 19 590 / 3 932 160 = 0.498199462% = 1:201

    x/x/31/31/31/x (flawless defense, sp.attack and sp.defense)
    x/x/31/31/31/x + x/x/31/31/31/x = 178 060 / 3 932 160 = 4.528299967% = 1:23
    x/x/31/31/31/x + x/x/x/31/31/x = 100 044 / 3 932 160 = 2.544250488% = 1:40
    x/x/31/31/31/x + x/x/31/31/x/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/x/31/31/31/x + x/x/31/x/31/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/x/31/31/31/x + x/x/x/31/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/31/x/x + x/x/x/31/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/31/31/x + x/x/x/x/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/x/31/x + x/x/x/31/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/31/31/x + x/x/31/x/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/x/31/31/x/x + x/x/31/x/31/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/x/31/31/x/x + x/x/x/x/31/x = 0.728% = 1:138
    x/x/31/x/31/x + x/x/x/31/x/x = 0.728% = 1:138
    x/x/x/31/31/x + x/x/31/x/x/x = 0.728% = 1:138
    x/x/31/31/31/x + x/x/x/x/x/x = 0.728% = 1:138
    x/x/x/31/31/x + x/x/x/31/31/x = 22 028 / 3 932 160 = 0.560201009% = 1:179
    x/x/31/31/x/x + x/x/31/31/x/x = 13 452 / 3 932 160 = 0.34210205% = 1:293
    x/x/31/x/31/x + x/x/31/x/31/x = 13 452 / 3 932 160 = 0.34210205% = 1:293

    x/x/31/31/x/31 (flawless defense, sp.attack and speed)
    x/x/31/31/x/31 + x/x/31/31/x/31 = 178 060 / 3 932 160 = 4.528299967% = 1:23
    x/x/31/31/x/31 + x/x/x/31/x/31 = 100 044 / 3 932 160 = 2.544250488% = 1:40
    x/x/31/31/x/31 + x/x/31/31/x/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/x/31/31/x/31 + x/x/31/x/x/31 = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/x/31/31/x/31 + x/x/x/31/x/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/31/x/x + x/x/x/31/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/31/x/31 + x/x/x/x/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/x/x/31 + x/x/x/31/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/31/x/31 + x/x/31/x/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/x/31/31/x/x + x/x/31/x/x/31 = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/x/31/31/x/x + x/x/x/x/x/31 = 0.728% = 1:138
    x/x/31/x/x/31 + x/x/x/31/x/x = 0.728% = 1:138
    x/x/x/31/x/31 + x/x/31/x/x/x = 0.728% = 1:138
    x/x/31/31/x/31 + x/x/x/x/x/x = 0.728% = 1:138
    x/x/x/31/x/31 + x/x/x/31/x/31 = 22 028 / 3 932 160 = 0.560201009% = 1:179
    x/x/31/31/x/x + x/x/31/31/x/x = 13 452 / 3 932 160 = 0.34210205% = 1:293
    x/x/31/x/x/31 + x/x/31/x/x/31 = 13 452 / 3 932 160 = 0.34210205% = 1:293

    x/x/31/x/31/31 (flawless defense, sp.defense and speed)
    x/x/31/x/31/31 + x/x/31/x/31/31 = 178 060 / 3 932 160 = 4.528299967% = 1:23
    x/x/31/x/31/31 + x/x/x/x/31/31 = 100 044 / 3 932 160 = 2.544250488% = 1:40
    x/x/31/x/31/31 + x/x/31/x/31/x = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/x/31/x/31/31 + x/x/31/x/x/31 = 95 756 / 3 932 160 = 2.435201009% = 1:42
    x/x/31/x/31/31 + x/x/x/x/31/x = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/x/31/x + x/x/x/x/31/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/x/31/31 + x/x/x/x/x/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/x/x/31 + x/x/x/x/31/31 = 53 580 / 3 932 160 = 1.362609863% = 1:74
    x/x/31/x/31/31 + x/x/31/x/x/x = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/x/31/x/31/x + x/x/31/x/x/31 = 46 220 / 3 932 160 = 1.175435384% = 1:86
    x/x/31/x/31/x + x/x/x/x/x/31 = 0.728% = 1:138
    x/x/31/x/x/31 + x/x/x/x/31/x = 0.728% = 1:138
    x/x/x/x/31/31 + x/x/31/x/x/x = 0.728% = 1:138
    x/x/31/x/31/31 + x/x/x/x/x/x = 0.728% = 1:138
    x/x/x/x/31/31 + x/x/x/x/31/31 = 22 028 / 3 932 160 = 0.560201009% = 1:179
    x/x/31/x/31/x + x/x/31/x/31/x = 13 452 / 3 932 160 = 0.34210205% = 1:293
    x/x/31/x/x/31 + x/x/31/x/x/31 = 13 452 / 3 932 160 = 0.34210205% = 1:293

    x/x/x/31/31/31 (flawless sp.attack, sp.defense and speed)
    x/x/x/31/31/31 + x/x/x/31/31/31 = 253 638 / 3 932 160 = 6.4503479% = 1:16
    x/x/x/31/31/31 + x/x/x/31/31/x = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/x/x/31/31/31 + x/x/x/31/x/31 = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/x/x/31/31/31 + x/x/x/x/31/31 = 136 614 / 3 932 160 = 3.474273682% = 1:29
    x/x/x/31/31/31 + x/x/x/31/x/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/x/x/31/31/x + x/x/x/31/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/x/x/31/31/31 + x/x/x/x/31/x = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/x/x/31/31/x + x/x/x/x/31/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/x/x/31/31/31 + x/x/x/x/x/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/x/x/31/x/31 + x/x/x/x/31/31 = 73 062 / 3 932 160 = 1.858062744% = 1:54
    x/x/x/31/31/x + x/x/x/x/x/31 = 0.999% = 1:101
    x/x/x/31/x/31 + x/x/x/x/31/x = 0.999% = 1:101
    x/x/x/x/31/31 + x/x/x/31/x/x = 0.999% = 1:101
    x/x/x/31/31/31 + x/x/x/x/x/x = 0.999% = 1:101
    x/x/x/31/31/x + x/x/x/31/31/x = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/x/x/31/x/31 + x/x/x/31/x/31 = 19 590 / 3 932 160 = 0.498199462% = 1:201
    x/x/x/x/31/31 + x/x/x/x/31/31 = 19 590 / 3 932 160 = 0.498199462% = 1:201


    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––


    SECTION „D“: FOUR FLAWLESS IVs

    31/31/31/31/x/x (flawless HP, attack, defense and sp.attack)
    31/31/31/31/x/x + 31/31/31/31/x/x = 0.252% = 1:397
    31/31/31/31/x/x + x/31/31/31/x/x = 0.195% = 1:513
    31/31/31/31/x/x + 31/31/x/31/x/x = 0.164% = 1:610
    31/31/31/31/x/x + 31/31/31/x/x/x = 0.147% = 1:682
    31/31/31/31/x/x + 31/x/31/31/x/x = 0.147% = 1:682
    x/31/31/31/x/x + x/31/31/31/x/x = 86 788/62 914 560 = 0.137945811% = 1:725
    31/31/x/31/x/x + x/31/31/31/x/x = 0.12% = 1:831
    31/31/31/x/x/x + x/31/31/31/x/x = 0.11% = 1:907
    31/x/31/31/x/x + x/31/31/31/x/x = 0.11% = 1:907
    31/31/31/x/x/x + 31/31/x/31/x/x = 0.094% = 1:1070
    31/x/31/31/x/x + 31/31/x/31/x/x = 0.094% = 1:1070
    31/31/31/x/x/x + 31/x/31/31/x/x = 0.084% = 1:1187
    31/31/x/31/x/x + 31/31/x/31/x/x = 47 780/62 914 560 = 0.075944264% = 1:1317
    31/31/31/x/x/x + 31/31/31/x/x/x = 26 132/62 914 560 = 0.04153569539% = 1:2408
    31/x/31/31/x/x + 31/x/31/31/x/x = 26 132/62 914 560 = 0.04153569539% = 1:2408

    31/31/31/x/31/x (flawless HP, attack, defense and sp.defense)
    31/31/31/x/31/x + 31/31/31/x/31/x = 0.252% = 1:397
    31/31/31/x/31/x + x/31/31/x/31/x = 0.195% = 1:513
    31/31/31/x/31/x + 31/31/x/x/31/x = 0.164% = 1:610
    31/31/31/x/31/x + 31/31/31/x/x/x = 0.147% = 1:682
    31/31/31/x/31/x + 31/x/31/x/31/x = 0.147% = 1:682
    x/31/31/x/31/x + x/31/31/x/31/x = 86 788/62 914 560 = 0.137945811% = 1:725
    31/31/x/x/31/x + x/31/31/x/31/x = 0.12% = 1:831
    31/31/31/x/x/x + x/31/31/x/31/x = 0.11% = 1:907
    31/x/31/x/31/x + x/31/31/x/31/x = 0.11% = 1:907
    31/31/31/x/x/x + 31/31/x/x/31/x = 0.094% = 1:1070
    31/x/31/x/31/x + 31/31/x/x/31/x = 0.094% = 1:1070
    31/31/31/x/x/x + 31/x/31/x/31/x = 0.084% = 1:1187
    31/31/x/x/31/x + 31/31/x/x/31/x = 47 780/62 914 560 = 0.075944264% = 1:1317
    31/31/31/x/x/x + 31/31/31/x/x/x = 26 132/62 914 560 = 0.04153569539% = 1:2408
    31/x/31/x/31/x + 31/x/31/x/31/x = 26 132/62 914 560 = 0.04153569539% = 1:2408

    31/31/31/x/x/31 (flawless HP, attack, defense and speed)
    31/31/31/x/x/31 + 31/31/31/x/x/31 = 0.252% = 1:397
    31/31/31/x/x/31 + x/31/31/x/x/31 = 0.195% = 1:513
    31/31/31/x/x/31 + 31/31/x/x/x/31 = 0.164% = 1:610
    31/31/31/x/x/31 + 31/31/31/x/x/x = 0.147% = 1:682
    31/31/31/x/x/31 + 31/x/31/x/x/31 = 0.147% = 1:682
    x/31/31/x/x/31 + x/31/31/x/x/31 = 86 788/62 914 560 = 0.137945811% = 1:725
    31/31/x/x/x/31 + x/31/31/x/x/31 = 0.12% = 1:831
    31/31/31/x/x/x + x/31/31/x/x/31 = 0.11% = 1:907
    31/x/31/x/x/31 + x/31/31/x/x/31 = 0.11% = 1:907
    31/31/31/x/x/x + 31/31/x/x/x/31 = 0.094% = 1:1070
    31/x/31/x/x/31 + 31/31/x/x/x/31 = 0.094% = 1:1070
    31/31/31/x/x/x + 31/x/31/x/x/31 = 0.084% = 1:1187
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 47 780/62 914 560 = 0.075944264% = 1:1317
    31/31/31/x/x/x + 31/31/31/x/x/x = 26 132/62 914 560 = 0.04153569539% = 1:2408
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 26 132/62 914 560 = 0.04153569539% = 1:2408

    31/31/x/31/31/x (flawless HP, attack, sp.attack and sp.defense)
    31/31/x/31/31/x + 31/31/x/31/31/x = 0.362% = 1:276
    31/31/x/31/31/x + x/31/x/31/31/x = 0.279% = 1:358
    31/31/x/31/31/x + 31/31/x/31/x/x = 0.217% = 1:460
    31/31/x/31/31/x + 31/31/x/x/31/x = 0.217% = 1:460
    31/31/x/31/31/x + 31/x/x/31/31/x = 0.217% = 1:460
    x/31/x/31/31/x + x/31/x/31/31/x = 123 554/62 914 560 = 0.196383794% = 1:510
    31/31/x/31/x/x + x/31/x/31/31/x = 0.161% = 1:621
    31/31/x/x/31/x + x/31/x/31/31/x = 0.161% = 1:621
    31/x/x/31/31/x + x/31/x/31/31/x = 0.161% = 1:621
    31/31/x/31/x/x + 31/31/x/x/31/x = 0.128% = 1:783
    31/31/x/31/x/x + 31/x/x/31/31/x = 0.128% = 1:783
    31/x/x/31/31/x + 31/31/x/x/31/x = 0.128% = 1:783
    31/31/x/31/x/x + 31/31/x/31/x/x = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/31/x/x/31/x + 31/31/x/x/31/x = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/x/x/31/31/x + 31/x/x/31/31/x = 45 538/62 914 560 = 0.0723807% = 1:1382

    31/31/x/31/x/31 (flawless HP, attack, sp.attack and speed)
    31/31/x/31/x/31 + 31/31/x/31/x/31 = 0.362% = 1:276
    31/31/x/31/x/31 + x/31/x/31/x/31 = 0.279% = 1:358
    31/31/x/31/x/31 + 31/31/x/31/x/x = 0.217% = 1:460
    31/31/x/31/x/31 + 31/31/x/x/x/31 = 0.217% = 1:460
    31/31/x/31/x/31 + 31/x/x/31/x/31 = 0.217% = 1:460
    x/31/x/31/x/31 + x/31/x/31/x/31 = 123 554/62 914 560 = 0.196383794% = 1:510
    31/31/x/31/x/x + x/31/x/31/x/31 = 0.161% = 1:621
    31/31/x/x/x/31 + x/31/x/31/x/31 = 0.161% = 1:621
    31/x/x/31/x/31 + x/31/x/31/x/31 = 0.161% = 1:621
    31/31/x/31/x/x + 31/31/x/x/x/31 = 0.128% = 1:783
    31/31/x/31/x/x + 31/x/x/31/x/31 = 0.128% = 1:783
    31/x/x/31/x/31 + 31/31/x/x/x/31 = 0.128% = 1:783
    31/31/x/31/x/x + 31/31/x/31/x/x = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 45 538/62 914 560 = 0.0723807% = 1:1382

    31/31/x/x/31/31 (flawless HP, attack, sp.defense and speed)
    31/31/x/x/31/31 + 31/31/x/x/31/31 = 0.362% = 1:276
    31/31/x/x/31/31 + x/31/x/x/31/31 = 0.279% = 1:358
    31/31/x/x/31/31 + 31/31/x/x/31/x = 0.217% = 1:460
    31/31/x/x/31/31 + 31/31/x/x/x/31 = 0.217% = 1:460
    31/31/x/x/31/31 + 31/x/x/x/31/31 = 0.217% = 1:460
    x/31/x/x/31/31 + x/31/x/x/31/31 = 123 554/62 914 560 = 0.196383794% = 1:510
    31/31/x/x/31/x + x/31/x/x/31/31 = 0.161% = 1:621
    31/31/x/x/x/31 + x/31/x/x/31/31 = 0.161% = 1:621
    31/x/x/x/31/31 + x/31/x/x/31/31 = 0.161% = 1:621
    31/31/x/x/31/x + 31/31/x/x/x/31 = 0.128% = 1:783
    31/31/x/x/31/x + 31/x/x/x/31/31 = 0.128% = 1:783
    31/x/x/x/31/31 + 31/31/x/x/x/31 = 0.128% = 1:783
    31/31/x/x/31/x + 31/31/x/x/31/x = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 45 538/62 914 560 = 0.0723807% = 1:1382

    31/x/31/31/31/x (flawless HP, defense, sp.attack and sp.defense)
    31/x/31/31/31/x + 31/x/31/31/31/x = 0.252% = 1:397
    31/x/31/31/31/x + x/x/31/31/31/x = 0.195% = 1:513
    31/x/31/31/31/x + 31/x/x/31/31/x = 0.164% = 1:610
    31/x/31/31/31/x + 31/x/31/31/x/x = 0.147% = 1:682
    31/x/31/31/31/x + 31/x/31/x/31/x = 0.147% = 1:682
    x/x/31/31/31/x + x/x/31/31/31/x = 86 788/62 914 560 = 0.137945811% = 1:725
    31/x/x/31/31/x + x/x/31/31/31/x = 0.12% = 1:831
    31/x/31/31/x/x + x/x/31/31/31/x = 0.11% = 1:907
    31/x/31/x/31/x + x/x/31/31/31/x = 0.11% = 1:907
    31/x/31/31/x/x + 31/x/x/31/31/x = 0.094% = 1:1070
    31/x/x/31/31/x + 31/x/31/x/31/x = 0.094% = 1:1070
    31/x/31/31/x/x + 31/x/31/x/31/x = 0.084% = 1:1187
    31/x/x/31/31/x + 31/x/x/31/31/x = 47 780/62 914 560 = 0.075944264% = 1:1317
    31/x/31/31/x/x + 31/x/31/31/x/x = 26 132/62 914 560 = 0.04153569539% = 1:2408
    31/x/31/x/31/x + 31/x/31/x/31/x = 26 132/62 914 560 = 0.04153569539% = 1:2408

    31/x/31/31/x/31 (flawless HP, defense, sp.attack and speed)
    31/x/31/31/x/31 + 31/x/31/31/x/31 = 0.252% = 1:397
    31/x/31/31/x/31 + x/x/31/31/x/31 = 0.195% = 1:513
    31/x/31/31/x/31 + 31/x/x/31/x/31 = 0.164% = 1:610
    31/x/31/31/x/31 + 31/x/31/31/x/x = 0.147% = 1:682
    31/x/31/31/x/31 + 31/x/31/x/x/31 = 0.147% = 1:682
    x/x/31/31/x/31 + x/x/31/31/x/31 = 86 788/62 914 560 = 0.137945811% = 1:725
    31/x/x/31/x/31 + x/x/31/31/x/31 = 0.12% = 1:831
    31/x/31/31/x/x + x/x/31/31/x/31 = 0.11% = 1:907
    31/x/31/x/x/31 + x/x/31/31/x/31 = 0.11% = 1:907
    31/x/31/31/x/x + 31/x/x/31/x/31 = 0.094% = 1:1070
    31/x/x/31/x/31 + 31/x/31/x/x/31 = 0.094% = 1:1070
    31/x/31/31/x/x + 31/x/31/x/x/31 = 0.084% = 1:1187
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 47 780/62 914 560 = 0.075944264% = 1:1317
    31/x/31/31/x/x + 31/x/31/31/x/x = 26 132/62 914 560 = 0.04153569539% = 1:2408
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 26 132/62 914 560 = 0.04153569539% = 1:2408

    31/x/31/x/31/31 (flawless HP, defense, sp.defense and speed)
    31/x/31/x/31/31 + 31/x/31/x/31/31 = 0.252% = 1:397
    31/x/31/x/31/31 + x/x/31/x/31/31 = 0.195% = 1:513
    31/x/31/x/31/31 + 31/x/x/x/31/31 = 0.164% = 1:610
    31/x/31/x/31/31 + 31/x/31/x/31/x = 0.147% = 1:682
    31/x/31/x/31/31 + 31/x/31/x/x/31 = 0.147% = 1:682
    x/x/31/x/31/31 + x/x/31/x/31/31 = 86 788/62 914 560 = 0.137945811% = 1:725
    31/x/x/x/31/31 + x/x/31/x/31/31 = 0.12% = 1:831
    31/x/31/x/31/x + x/x/31/x/31/31 = 0.11% = 1:907
    31/x/31/x/x/31 + x/x/31/x/31/31 = 0.11% = 1:907
    31/x/31/x/31/x + 31/x/x/x/31/31 = 0.094% = 1:1070
    31/x/x/x/31/31 + 31/x/31/x/x/31 = 0.094% = 1:1070
    31/x/31/x/31/x + 31/x/31/x/x/31 = 0.084% = 1:1187
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 47 780/62 914 560 = 0.075944264% = 1:1317
    31/x/31/x/31/x + 31/x/31/x/31/x = 26 132/62 914 560 = 0.04153569539% = 1:2408
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 26 132/62 914 560 = 0.04153569539% = 1:2408

    31/x/x/31/31/31 (flawless HP, sp.attack, sp.defense and speed)
    31/x/x/31/31/31 + 31/x/x/31/31/31 = 0.362% = 1:276
    31/x/x/31/31/31 + x/x/x/31/31/31 = 0.279% = 1:358
    31/x/x/31/31/31 + 31/x/x/31/31/x = 0.217% = 1:460
    31/x/x/31/31/31 + 31/x/x/31/x/31 = 0.217% = 1:460
    31/x/x/31/31/31 + 31/x/x/x/31/31 = 0.217% = 1:460
    x/x/x/31/31/31 + x/x/x/31/31/31 = 123 554/62 914 560 = 0.196383794% = 1:510
    31/x/x/31/31/x + x/x/x/31/31/31 = 0.161% = 1:621
    31/x/x/31/x/31 + x/x/x/31/31/31 = 0.161% = 1:621
    31/x/x/x/31/31 + x/x/x/31/31/31 = 0.161% = 1:621
    31/x/x/31/31/x + 31/x/x/31/x/31 = 0.128% = 1:783
    31/x/x/31/31/x + 31/x/x/x/31/31 = 0.128% = 1:783
    31/x/x/x/31/31 + 31/x/x/31/x/31 = 0.128% = 1:783
    31/x/x/31/31/x + 31/x/x/31/31/x = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 45 538/62 914 560 = 0.0723807% = 1:1382
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 45 538/62 914 560 = 0.0723807% = 1:1382

    x/31/31/31/31/x (flawless attack, defense, sp.attack and sp.defense)
    x/31/31/31/31/x + x/31/31/31/31/x = 0.523% = 1:192
    x/31/31/31/31/x + x/31/x/31/31/x = 0.357% = 1:280
    x/31/31/31/31/x + x/31/31/31/x/x = 0.326% = 1:307
    x/31/31/31/31/x + x/31/31/x/31/x = 0.326% = 1:307
    x/31/31/31/31/x + x/x/31/31/31/x = 0.326% = 1:307
    x/31/31/31/x/x + x/31/x/31/31/x = 0.214% = 1:468
    x/31/x/31/31/x + x/31/31/x/31/x = 0.214% = 1:468
    x/31/x/31/31/x + x/x/31/31/31/x = 0.214% = 1:468
    x/31/31/31/x/x + x/31/31/x/31/x = 0.197% = 1:508
    x/31/31/31/x/x + x/x/31/31/31/x = 0.197% = 1:508
    x/31/31/x/31/x + x/x/31/31/31/x = 0.197% = 1:508
    x/31/x/31/31/x + x/31/x/31/31/x = 120 288/62 914 560 = 0.191192627% = 1:524
    x/31/31/31/x/x + x/31/31/31/x/x = 81 281/62 914 560 = 0.12919267% = 1:775
    x/31/31/x/31/x + x/31/31/x/31/x = 81 281/62 914 560 = 0.12919267% = 1:775
    x/x/31/31/31/x + x/x/31/31/31/x = 81 281/62 914 560 = 0.12919267% = 1:775

    x/31/31/31/x/31 (flawless attack, defense, sp.attack and speed)
    x/31/31/31/x/31 + x/31/31/31/x/31 = 0.523% = 1:192
    x/31/31/31/x/31 + x/31/x/31/x/31 = 0.357% = 1:280
    x/31/31/31/x/31 + x/31/31/31/x/x = 0.326% = 1:307
    x/31/31/31/x/31 + x/31/31/x/x/31 = 0.326% = 1:307
    x/31/31/31/x/31 + x/x/31/31/x/31 = 0.326% = 1:307
    x/31/31/31/x/x + x/31/x/31/x/31 = 0.214% = 1:468
    x/31/x/31/x/31 + x/31/31/x/x/31 = 0.214% = 1:468
    x/31/x/31/x/31 + x/x/31/31/x/31 = 0.214% = 1:468
    x/31/31/31/x/x + x/31/31/x/x/31 = 0.197% = 1:508
    x/31/31/31/x/x + x/x/31/31/x/31 = 0.197% = 1:508
    x/31/31/x/x/31 + x/x/31/31/x/31 = 0.197% = 1:508
    x/31/x/31/x/31 + x/31/x/31/x/31 = 120 288/62 914 560 = 0.191192627% = 1:524
    x/31/31/31/x/x + x/31/31/31/x/x = 81 281/62 914 560 = 0.12919267% = 1:775
    x/31/31/x/x/31 + x/31/31/x/x/31 = 81 281/62 914 560 = 0.12919267% = 1:775
    x/x/31/31/x/31 + x/x/31/31/x/31 = 81 281/62 914 560 = 0.12919267% = 1:775

    x/31/31/x/31/31 (flawless attack, defense, sp.defense and speed)
    x/31/31/x/31/31 + x/31/31/x/31/31 = 0.523% = 1:192
    x/31/31/x/31/31 + x/31/x/x/31/31 = 0.357% = 1:280
    x/31/31/x/31/31 + x/31/31/x/31/x = 0.326% = 1:307
    x/31/31/x/31/31 + x/31/31/x/x/31 = 0.326% = 1:307
    x/31/31/x/31/31 + x/x/31/x/31/31 = 0.326% = 1:307
    x/31/31/x/31/x + x/31/x/x/31/31 = 0.214% = 1:468
    x/31/x/x/31/31 + x/31/31/x/x/31 = 0.214% = 1:468
    x/31/x/x/31/31 + x/x/31/x/31/31 = 0.214% = 1:468
    x/31/31/x/31/x + x/31/31/x/x/31 = 0.197% = 1:508
    x/31/31/x/31/x + x/x/31/x/31/31 = 0.197% = 1:508
    x/31/31/x/x/31 + x/x/31/x/31/31 = 0.197% = 1:508
    x/31/x/x/31/31 + x/31/x/x/31/31 = 120 288/62 914 560 = 0.191192627% = 1:524
    x/31/31/x/31/x + x/31/31/x/31/x = 81 281/62 914 560 = 0.12919267% = 1:775
    x/31/31/x/x/31 + x/31/31/x/x/31 = 81 281/62 914 560 = 0.12919267% = 1:775
    x/x/31/x/31/31 + x/x/31/x/31/31 = 81 281/62 914 560 = 0.12919267% = 1:775

    x/31/x/31/31/31 (flawless attack, sp.attack, sp.defense and speed)
    x/31/x/31/31/31 + x/31/x/31/31/31 = 0.684% = 1:147
    x/31/x/31/31/31 + x/31/x/31/31/x = 0.435% = 1:230
    x/31/x/31/31/31 + x/31/x/31/x/31 = 0.435% = 1:230
    x/31/x/31/31/31 + x/31/x/x/31/31 = 0.435% = 1:230
    x/31/x/31/31/31 + x/x/x/31/31/31 = 0.435% = 1:230
    x/31/x/31/31/x + x/31/x/31/x/31 = 0.267% = 1:376
    x/31/x/31/31/x + x/31/x/31/x/31 = 0.267% = 1:376
    x/31/x/31/31/x + x/x/x/31/31/31 = 0.267% = 1:376
    x/31/x/x/31/31 + x/31/x/31/x/31 = 0.267% = 1:376
    x/31/x/31/x/31 + x/x/x/31/31/31 = 0.267% = 1:376
    x/31/x/x/31/31 + x/x/x/31/31/31 = 0.267% = 1:376
    x/31/x/31/31/x + x/31/x/31/31/x = 117 024/62 914 560 = 0.186004638% = 1:538
    x/31/x/31/x/31 + x/31/x/31/x/31 = 117 024/62 914 560 = 0.186004638% = 1:538
    x/31/x/x/31/31 + x/31/x/x/31/31 = 117 024/62 914 560 = 0.186004638% = 1:538
    x/x/x/31/31/31 + x/x/x/31/31/31 = 117 024/62 914 560 = 0.186004638% = 1:538

    x/x/31/31/31/31 (flawless defense, sp.attack, sp.defense and speed)
    x/x/31/31/31/31 + x/x/31/31/31/31 = 0.523% = 1:192
    x/x/31/31/31/31 + x/x/x/31/31/31 = 0.357% = 1:280
    x/x/31/31/31/31 + x/x/31/31/31/x = 0.326% = 1:307
    x/x/31/31/31/31 + x/x/31/31/x/31 = 0.326% = 1:307
    x/x/31/31/31/31 + x/x/31/x/31/31 = 0.326% = 1:307
    x/x/31/31/31/x + x/x/x/31/31/31 = 0.214% = 1:468
    x/x/31/31/x/31 + x/x/x/31/31/31 = 0.214% = 1:468
    x/x/31/x/31/31 + x/x/x/31/31/31 = 0.214% = 1:468
    x/x/31/31/31/x + x/x/31/31/x/31 = 0.197% = 1:508
    x/x/31/31/31/x + x/x/31/x/31/31 = 0.197% = 1:508
    x/x/31/x/31/31 + x/x/31/31/x/31 = 0.197% = 1:508
    x/x/x/31/31/31 + x/x/x/31/31/31 = 120 288/62 914 560 = 0.191192627% = 1:524
    x/x/31/31/31/x + x/x/31/31/31/x = 81 281/62 914 560 = 0.12919267% = 1:775
    x/x/31/31/x/31 + x/x/31/31/x/31 = 81 281/62 914 560 = 0.12919267% = 1:775
    x/x/31/x/31/31 + x/x/31/x/31/31 = 81 281/62 914 560 = 0.12919267% = 1:775


    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––


    SECTION „E“: FIVE FLAWLESS IVs

    31/31/31/31/31/x (flawless HP, attack, defense, sp.attack and sp.defense)
    31/31/31/31/31/x + 31/31/31/31/31/x = 0.024% = 1:4221
    31/31/31/31/31/x + x/31/31/31/31/x = 0.02% = 1:5024
    31/31/31/31/31/x + 31/31/x/31/31/x = 0.017% = 1:5777
    x/31/31/31/31/x + x/31/31/31/31/x = 0.016% = 1:6205
    31/31/31/31/31/x + 31/31/31/31/x/x = 0.016% = 1:6440
    31/31/31/31/31/x + 31/31/31/x/31/x = 0.016% = 1:6440
    31/31/31/31/31/x + 31/x/31/31/31/x = 0.016% = 1:6440
    31/31/x/31/31/x + 31/31/x/31/31/x = 0.011% = 1:9152
    31/31/31/31/x/x + 31/31/31/31/x/x = 0.0070% = 1:13 580
    31/31/31/x/31/x + 31/31/31/x/31/x = 0.0070% = 1:13 580
    31/x/31/31/31/x + 31/x/31/31/31/x = 0.0070% = 1:13 580
    x/31/x/31/31/x + x/31/x/31/31/x = 0.0060% = 1:17 197
    x/31/31/31/x/x + x/31/31/31/x/x = 0.0040% = 1:25 446
    x/31/31/x/31/x + x/31/31/x/31/x = 0.0040% = 1:25 446
    x/x/31/31/31/x + x/x/31/31/31/x = 0.0040% = 1:25 446
    31/31/x/31/x/x + 31/31/x/31/x/x = 0.0020% = 1:47 681
    31/31/x/x/31/x + 31/31/x/x/31/x = 0.0020% = 1:47 681
    31/x/x/31/31/x + 31/x/x/31/31/x = 0.0020% = 1:47 681
    31/31/31/x/x/x + 31/31/31/x/x/x = 0.0010% = 1:90 719
    31/x/31/31/x/x + 31/x/31/31/x/x = 0.0010% = 1:90 719
    31/x/31/x/31/x + 31/x/31/x/31/x = 0.0010% = 1:90 719

    ++++++++++++++++++++++++
    4+4 (3overlap)
    4+3 (three overlap)
    ++++++++++++++++++++++++


    31/31/31/31/x/31 (flawless HP, attack, defense, sp.attack and speed)
    31/31/31/31/x/31 + 31/31/31/31/x/31 = 0.024% = 1:4221
    31/31/31/31/x/31 + x/31/31/31/x/31 = 0.02% = 1:5024
    31/31/31/31/x/31 + 31/31/x/31/x/31 = 0.017% = 1:5777
    x/31/31/31/x/31 + x/31/31/31/x/31 = 0.016% = 1:6205
    1/31/31/31/x/31 + 31/31/31/31/x/x = 0.016% = 1:6440
    31/31/31/31/x/31 + 31/31/31/x/x/31 = 0.016% = 1:6440
    31/31/31/31/x/31 + 31/x/31/31/x/31 = 0.016% = 1:6440
    31/31/x/31/x/31 + 31/31/x/31/x/31 = 0.011% = 1:9152
    31/31/31/31/x/x + 31/31/31/31/x/x = 0.0070% = 1:13 580
    31/31/31/x/x/31 + 31/31/31/x/x/31 = 0.0070% = 1:13 580
    31/x/31/31/x/31 + 31/x/31/31/x/31 = 0.0070% = 1:13 580
    x/31/x/31/x/31 + x/31/x/31/x/31 = 0.0060% = 1:17 197
    x/31/31/31/x/x + x/31/31/31/x/x = 0.0040% = 1:25 446
    x/31/31/x/x/31 + x/31/31/x/x/31 = 0.0040% = 1:25 446
    x/x/31/31/x/31 + x/x/31/31/x/31 = 0.0040% = 1:25 446
    31/31/x/31/x/x + 31/31/x/31/x/x = 0.0020% = 1:47 681
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 0.0020% = 1:47 681
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 0.0020% = 1:47 681
    31/31/31/x/x/x + 31/31/31/x/x/x = 0.0010% = 1:90 719
    31/x/31/31/x/x + 31/x/31/31/x/x = 0.0010% = 1:90 719
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 0.0010% = 1:90 719

    +++++++++++++++++++++++
    4+4 (three overlap)
    4+3
    +++++++++++++++++++++++


    31/31/31/x/31/31 (flawless HP, attack, defense, sp.defense and speed)
    31/31/31/x/31/31 + 31/31/31/x/31/31 = 0.024% = 1:4221
    31/31/31/x/31/31 + x/31/31/x/31/31 = 0.02% = 1:5024
    31/31/31/x/31/31 + 31/31/x/x/31/31 = 0.017% = 1:5777
    x/31/31/x/31/31 + x/31/31/x/31/31 = 0.016% = 1:6205
    31/31/31/x/31/31 + 31/31/31/x/31/x = 0.016% = 1:6440
    31/31/31/x/31/31 + 31/31/31/x/x/31 = 0.016% = 1:6440
    31/31/31/x/31/31 + 31/x/31/x/31/31 = 0.016% = 1:6440
    31/31/x/x/31/31 + 31/31/x/x/31/31 = 0.011% = 1:9152
    31/31/31/x/31/x + 31/31/31/x/31/x = 0.0070% = 1:13 580
    31/31/31/x/x/31 + 31/31/31/x/x/31 = 0.0070% = 1:13 580
    31/x/31/x/31/31 + 31/x/31/x/31/31 = 0.0070% = 1:13 580
    x/31/x/x/31/31 + x/31/x/x/31/31 = 0.0060% = 1:17 197
    x/31/31/x/31/x + x/31/31/x/31/x = 0.0040% = 1:25 446
    x/31/31/x/x/31 + x/31/31/x/x/31 = 0.0040% = 1:25 446
    x/x/31/x/31/31 + x/x/31/x/31/31 = 0.0040% = 1:25 446
    31/31/x/x/31/x + 31/31/x/x/31/x = 0.0020% = 1:47 681
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 0.0020% = 1:47 681
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 0.0020% = 1:47 681
    31/31/31/x/x/x + 31/31/31/x/x/x = 0.0010% = 1:90 719
    31/x/31/x/31/x + 31/x/31/x/31/x = 0.0010% = 1:90 719
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 0.0010% = 1:90 719

    +++++++++++++++++++++++
    4+4 (three overlap)
    4+3
    +++++++++++++++++++++++


    31/31/x/31/31/31 (flawless HP, attack, sp.attack, sp.defense and speed)
    31/31/x/31/31/31 + 31/31/x/31/31/31 = 0.031% = 1:3222
    31/31/x/31/31/31 + x/31/x/31/31/31 = 0.026% = 1:3839
    x/31/x/31/31/31 + x/31/x/31/31/31 = 0.021% = 1:4747
    31/31/x/31/31/31 + 31/31/x/31/31/x = 0.021% = 1:4793
    31/31/x/31/31/31 + 31/31/x/31/x/31 = 0.021% = 1:4793
    31/31/x/31/31/31 + 31/31/x/x/31/31 = 0.021% = 1:4793
    31/31/x/31/31/31 + 31/x/x/31/31/31 = 0.021% = 1:4793
    31/31/x/31/31/x + 31/31/x/31/31/x = 0.011% = 1:9354
    31/31/x/31/x/31 + 31/31/x/31/x/31 = 0.011% = 1:9354
    31/31/x/x/31/31 + 31/31/x/x/31/31 = 0.011% = 1:9354
    31/x/x/31/31/31 + 31/x/x/31/31/31 = 0.011% = 1:9354
    x/31/x/31/31/x + x/31/x/31/31/x = 0.0060% = 1:17 683
    x/31/x/31/x/31 + x/31/x/31/x/31 = 0.0060% = 1:17 683
    x/31/x/x/31/31 + x/31/x/x/31/31 = 0.0060% = 1:17 683
    x/x/x/31/31/31 + x/x/x/31/31/31 = 0.0060% = 1:17 683
    31/31/x/31/x/x + 31/31/x/31/x/x = 0.0020% = 1:50 252
    31/31/x/x/31/x + 31/31/x/x/31/x = 0.0020% = 1:50 252
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 0.0020% = 1:50 252
    31/x/x/31/31/x + 31/x/x/31/31/x = 0.0020% = 1:50 252
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 0.0020% = 1:50 252
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 0.0020% = 1:50 252

    +++++++++++++++++++++++
    4+4 (three overlap)
    4+3
    +++++++++++++++++++++++


    31/x/31/31/31/31 (flawless HP, defense, sp.attack, sp.defense and speed)
    31/x/31/31/31/31 + 31/x/31/31/31/31 = 0.024% = 1:4221
    31/x/31/31/31/31 + x/x/31/31/31/31 = 0.02% = 1:5024
    31/x/31/31/31/31 + 31/x/x/31/31/31 = 0.017% = 1:5777
    x/x/31/31/31/31 + x/x/31/31/31/31 = 0.016% = 1:6205
    31/x/31/31/31/31 + 31/x/31/31/31/x = 0.016% = 1:6440
    31/x/31/31/31/31 + 31/x/31/31/x/31 = 0.016% = 1:6440
    31/x/31/31/31/31 + 31/x/31/x/31/31 = 0.016% = 1:6440
    31/x/x/31/31/31 + 31/x/x/31/31/31 = 0.011% = 1:9152
    31/x/31/31/31/x + 31/x/31/31/31/x = 0.0070% = 1:13 580
    31/x/31/31/x/31 + 31/x/31/31/x/31 = 0.0070% = 1:13 580
    31/x/31/x/31/31 + 31/x/31/x/31/31 = 0.0070% = 1:13 580
    x/x/x/31/31/31 + x/x/x/31/31/31 = 0.0060% = 1:17 197
    x/x/31/31/31/x + x/x/31/31/31/x = 0.0040% = 1:25 446
    x/x/31/31/x/31 + x/x/31/31/x/31 = 0.0040% = 1:25 446
    x/x/31/x/31/31 + x/x/31/x/31/31 = 0.0040% = 1:25 446
    31/x/x/31/31/x + 31/x/x/31/31/x = 0.0020% = 1:47 681
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 0.0020% = 1:47 681
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 0.0020% = 1:47 681
    31/x/31/31/x/x + 31/x/31/31/x/x = 0.0010% = 1:90 719
    31/x/31/x/31/x + 31/x/31/x/31/x = 0.0010% = 1:90 719
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 0.0010% = 1:90 719

    +++++++++++++++++++++++
    4+4 (three overlap)
    4+3
    +++++++++++++++++++++++


    x/31/31/31/31/31 (flawless attack, defense, sp.attack, sp.defense and speed)
    x/31/31/31/31/31 + x/31/31/31/31/31 = 0.041% = 1:2458
    x/31/31/31/31/31 + x/31/31/31/31/x = 0.028% = 1:3555
    x/31/31/31/31/31 + x/31/31/31/x/31 = 0.028% = 1:3555
    x/31/31/31/31/31 + x/31/31/x/31/31 = 0.028% = 1:3555
    x/31/31/31/31/31 + x/31/x/31/31/31 = 0.031% = 1:3255
    x/31/31/31/31/31 + x/x/31/31/31/31 = 0.028% = 1:3555
    x/31/x/31/31/31 + x/31/x/31/31/31 = 0.021% = 1:4818
    x/31/31/31/31/x + x/31/31/31/31/x = 0.016% = 1:6424
    x/31/31/31/x/31 + x/31/31/31/x/31 = 0.016% = 1:6424
    x/31/31/x/31/31 + x/31/31/x/31/31 = 0.016% = 1:6424
    x/x/31/31/31/31 + x/x/31/31/31/31 = 0.016% = 1:6424
    x/31/x/31/31/x + x/31/x/31/31/x = 0.0050% = 1:18 189
    x/31/x/31/x/31 + x/31/x/31/x/31 = 0.0050% = 1:18 189
    x/31/x/x/31/31 + x/31/x/x/31/31 = 0.0050% = 1:18 189
    x/x/x/31/31/31 + x/x/x/31/31/31 = 0.0050% = 1:18 189
    x/31/31/31/x/x + x/31/31/31/x/x = 0.0040% = 1:27 283
    x/31/31/x/31/x + x/31/31/x/31/x = 0.0040% = 1:27 283
    x/31/31/x/x/31 + x/31/31/x/x/31 = 0.0040% = 1:27 283
    x/x/31/31/31/x + x/x/31/31/31/x = 0.0040% = 1:27 283
    x/x/31/31/x/31 + x/x/31/31/x/31 = 0.0040% = 1:27 283
    x/x/31/x/31/31 + x/x/31/x/31/31 = 0.0040% = 1:27 283

    +++++++++++++++++++++++
    4+4 (three overlap)
    4+3
    +++++++++++++++++++++++


    ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
    ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––


    SECTION „F“: SIX FLAWLESS IVs

    31/31/31/31/31/31 (flawless HP, attack, defense, sp.attack, sp.defense and speed)
    31/31/31/31/31/31 + 31/31/31/31/31/31 = 1:59 916
    31/31/31/31/31/31 + x/31/31/31/31/31 = 1:68 307
    31/31/31/31/31/31 + 31/31/x/31/31/31 = 1:76 440
    x/31/31/31/31/31 + x/31/31/31/31/31 = 1:79 432
    31/31/31/31/31/31 + 31/x/31/31/31/31 = 1:84 049
    31/31/31/31/31/31 + 31/31/31/x/31/31 = 1:84 049
    31/31/31/31/31/31 + 31/31/31/31/x/31 = 1:84 049
    31/31/31/31/31/31 + 31/31/31/31/31/x = 1:84 049
    x/31/31/31/31/31 + x/31/x/31/31/31 = 1:105 374
    31/31/x/31/31/31 + 31/31/x/31/31/31 = 1:105 551
    x/31/31/31/31/31 + x/31/31/31/31/x = 1:115 059
    x/31/31/31/31/31 + x/31/31/31/x/31 = 1:115 059
    x/31/31/31/31/31 + x/31/31/x/31/31 = 1:115 059
    x/31/31/31/31/31 + x/x/31/31/31/31 = 1:115 059
    31/31/x/31/31/31 + x/31/x/31/31/31 = 1:126 066
    31/x/31/31/31/31 + 31/x/31/31/31/31 = 1:140 734
    31/31/31/x/31/31 + 31/31/31/x/31/31 = 1:140 734
    31/31/31/31/x/31 + 31/31/31/31/x/31 = 1:140 734
    31/31/31/31/31/x + 31/31/31/31/31/x = 1:140 734
    x/31/x/31/31/31 + x/31/x/31/31/31 = 1:156 480
    x/31/31/31/31/x + x/31/x/31/31/31 = 1:157 216
    x/31/31/31/x/31 + x/31/x/31/31/31 = 1:157 216
    x/31/31/x/31/31 + x/31/x/31/31/31 = 1:157 216
    x/31/x/31/31/31 + x/x/31/31/31/31 = 1:157 216
    31/31/x/31/31/31 + 31/31/x/31/31/x = 1:157 561
    31/31/x/31/31/31 + 31/31/x/31/x/31 = 1:157 561
    31/31/x/31/31/31 + 31/31/x/x/31/31 = 1:157 561
    31/31/x/31/31/31 + 31/x/x/31/31/31 = 1:157 561
    31/x/31/31/31/31 + x/x/31/31/31/31 = 1:168 088
    31/31/31/x/31/31 + x/31/31/x/31/31 = 1:168 088
    31/31/31/31/x/31 + x/31/31/31/x/31 = 1:168 088
    31/31/31/31/31/x + x/31/31/31/31/x = 1:168 088
    x/31/31/31/31/x + x/31/31/31/x/31 = 1:171 759
    x/31/31/31/31/x + x/31/31/x/31/31 = 1:171 759
    x/31/31/31/x/31 + x/31/31/x/31/31 = 1:171 759
    x/31/31/31/31/x + x/x/31/31/31/31 = 1:171 759
    x/31/31/31/x/31 + x/x/31/31/31/31 = 1:171 759
    x/31/31/x/31/31 + x/x/31/31/31/31 = 1:171 759
    31/31/x/31/31/x + x/31/x/31/31/31 = 1:192 736
    31/31/x/31/x/31 + x/31/x/31/31/31 = 1:192 736
    31/31/x/x/31/31 + x/31/x/31/31/31 = 1:192 736
    31/x/x/31/31/31 + x/31/x/31/31/31 = 1:192 736
    31/x/31/31/31/31 + 31/x/x/31/31/31 = 1:193 705
    31/31/31/x/31/31 + 31/31/x/x/31/31 = 1:193 705
    31/31/31/31/x/31 + 31/31/x/31/x/31 = 1:193 705
    31/31/31/31/31/x + 31/31/x/31/31/x = 1:193 705
    x/31/31/31/31/x + x/31/31/31/31/x = 1:208 640
    x/31/31/31/x/31 + x/31/31/31/x/31 = 1:208 640
    x/31/31/x/31/31 + x/31/31/x/31/31 = 1:208 640
    x/x/31/31/31/31 + x/x/31/31/31/31 = 1:208 640
    31/x/31/31/31/31 + 31/x/31/31/31/x = 1:216 173
    31/x/31/31/31/31 + 31/x/31/31/x/31 = 1:216 173
    31/x/31/31/31/31 + 31/x/31/x/31/31 = 1:216 173
    31/31/31/x/31/31 + 31/31/31/x/31/x = 1:216 173
    31/31/31/x/31/31 + 31/31/31/x/x/31 = 1:216 173
    31/31/31/x/31/31 + 31/x/31/x/31/31 = 1:216 173
    31/31/31/31/x/31 + 31/31/31/31/x/x = 1:216 173
    31/31/31/31/x/31 + 31/31/31/x/x/31 = 1:216 173
    31/31/31/31/x/31 + 31/x/31/31/x/31 = 1:216 173
    31/31/31/31/31/x + 31/31/31/31/x/x = 1:216 173
    31/31/31/31/31/x + 31/31/31/x/31/x = 1:216 173
    31/31/31/31/31/x + 31/x/31/31/31/x = 1:216 173
    31/31/x/31/31/x + x/31/31/31/31/x = 1:238 271
    31/31/x/31/x/31 + x/31/31/31/x/31 = 1:238 271
    31/31/x/x/31/31 + x/31/31/x/31/31 = 1:238 271
    31/x/x/31/31/31 + x/x/31/31/31/31 = 1:238 271
    31/31/x/31/31/x + 31/31/x/31/x/31 = 1:242 636
    31/31/x/31/31/x + 31/31/x/x/31/31 = 1:242 636
    31/31/x/31/31/x + 31/x/x/31/31/31 = 1:242 636
    31/31/x/31/x/31 + 31/31/x/x/31/31 = 1:242 636
    31/31/x/31/x/31 + 31/x/x/31/31/31 = 1:242 636
    31/31/x/x/31/31 + 31/x/x/31/31/31 = 1:242 636
    x/31/x/31/31/31 + x/31/x/31/31/x = 1:248 131
    x/31/x/31/31/31 + x/31/x/31/x/31 = 1:248 131
    x/31/x/31/31/31 + x/31/x/x/31/31 = 1:248 131
    x/31/x/31/31/31 + x/x/x/31/31/31 = 1:248 131
    31/31/31/31/x/x + x/31/31/31/31/x = 1:263 888
    31/31/31/31/x/x + x/31/31/31/x/31 = 1:263 888
    31/31/31/x/31/x + x/31/31/31/31/x = 1:263 888
    31/31/31/x/31/x + x/31/31/x/31/31 = 1:263 888
    31/31/31/x/x/31 + x/31/31/31/x/31 = 1:263 888
    31/31/31/x/x/31 + x/31/31/x/31/31 = 1:263 888
    31/x/31/31/31/x + x/31/31/31/31/x = 1:263 888
    31/x/31/31/31/x + x/x/31/31/31/31 = 1:263 888
    31/x/31/31/x/31 + x/31/31/31/x/31 = 1:263 888
    31/x/31/31/x/31 + x/x/31/31/31/31 = 1:263 888
    31/x/31/x/31/31 + x/31/31/x/31/31 = 1:263 888
    31/x/31/x/31/31 + x/x/31/31/31/31 = 1:263 888
    31/31/31/31/x/x + 31/31/x/31/31/x = 1:306 655
    31/31/31/31/x/x + 31/31/x/31/x/31 = 1:306 655
    31/31/31/x/31/x + 31/31/x/31/31/x = 1:306 655
    31/31/31/x/31/x + 31/31/x/x/31/31 = 1:306 655
    31/31/31/x/x/31 + 31/31/x/31/x/31 = 1:306 655
    31/31/31/x/x/31 + 31/31/x/x/31/31 = 1:306 655
    31/31/x/31/31/x + 31/x/31/31/31/x = 1:306 655
    31/x/31/31/31/x + 31/x/x/31/31/31 = 1:306 655
    31/31/x/31/x/31 + 31/x/31/31/x/31 = 1:306 655
    31/x/31/31/x/31 + 31/x/x/31/31/31 = 1:306 655
    31/31/x/x/31/31 + 31/x/31/x/31/31 = 1:306 655
    31/x/31/x/31/31 + 31/x/x/31/31/31 = 1:306 655
    x/31/31/31/31/x + x/31/x/31/31/x = 1:309 472
    x/31/31/31/x/31 + x/31/x/31/x/31 = 1:309 472
    x/31/31/x/31/31 + x/31/x/x/31/31 = 1:309 472
    x/x/31/31/31/31 + x/x/x/31/31/31 = 1:309 472
    31/31/x/31/31/x + 31/31/x/31/31/x = 1:310 618
    31/31/x/31/x/31 + 31/31/x/31/x/31 = 1:310 618
    31/31/x/x/31/31 + 31/31/x/x/31/31 = 1:310 618
    31/x/x/31/31/31 + 31/x/x/31/31/31 = 1:310 618
    x/31/31/31/31/x + x/31/31/31/x/x = 1:338 635
    x/31/31/31/31/x + x/31/31/x/31/x = 1:338 635
    x/31/31/31/31/x + x/x/31/31/31/x = 1:338 635
    x/31/31/31/x/31 + x/31/31/31/x/x = 1:338 635
    x/31/31/31/x/31 + x/31/31/x/x/31 = 1:338 635
    x/31/31/31/x/31 + x/x/31/31/x/31 = 1:338 635
    x/31/31/x/31/31 + x/31/31/x/31/x = 1:338 635
    x/31/31/x/31/31 + x/31/31/x/x/31 = 1:338 635
    x/31/31/x/31/31 + x/x/31/x/31/31 = 1:338 635
    x/x/31/31/31/31 + x/x/31/31/31/x = 1:338 635
    x/x/31/31/31/31 + x/x/31/31/x/31 = 1:338 635
    x/x/31/31/31/31 + x/x/31/x/31/31 = 1:338 635
    31/31/31/31/x/x + 31/31/31/x/31/x = 1:342 334
    31/31/31/31/x/x + 31/31/31/x/x/31 = 1:342 334
    31/31/31/x/31/x + 31/31/31/x/x/31 = 1:342 334
    31/31/31/31/x/x + 31/x/31/31/31/x = 1:342 334
    31/31/31/31/x/x + 31/x/31/31/x/31 = 1:342 334
    31/x/31/31/31/x + 31/x/31/31/x/31 = 1:342 334
    31/31/31/x/31/x + 31/x/31/31/31/x = 1:342 334
    31/31/31/x/31/x + 31/x/31/x/31/31 = 1:342 334
    31/x/31/31/31/x + 31/x/31/x/31/31 = 1:342 334
    31/31/31/x/x/31 + 31/x/31/31/x/31 = 1:342 334
    31/31/31/x/x/31 + 31/x/31/x/31/31 = 1:342 334
    31/x/31/31/x/31 + 31/x/31/x/31/31 = 1:342 334
    31/x/x/31/31/31 + x/x/x/31/31/31 = 1:409 076
    31/31/x/31/31/x + x/31/x/31/31/x = 1:409 076
    31/31/x/31/x/31 + x/31/x/31/x/31 = 1:409 076
    31/31/x/x/31/31 + x/31/x/x/31/31 = 1:409 076
    31/31/31/31/x/x + 31/31/31/31/x/x = 1:465 926
    31/31/31/x/31/x + 31/31/31/x/31/x = 1:465 926
    31/31/31/x/x/31 + 31/31/31/x/x/31 = 1:465 926
    31/x/31/31/31/x + 31/x/31/31/31/x = 1:465 926
    31/x/31/31/x/31 + 31/x/31/31/x/31 = 1:465 926
    31/x/31/x/31/31 + 31/x/31/x/31/31 = 1:465 926
    31/x/x/31/31/31 + 31/x/x/31/31/x = 1:527 413
    31/x/x/31/31/31 + 31/x/x/31/x/31 = 1:527 413
    31/x/x/31/31/31 + 31/x/x/x/31/31 = 1:527 413
    31/31/x/31/31/x + 31/31/x/31/x/x = 1:527 413
    31/31/x/31/31/x + 31/31/x/x/31/x = 1:527 413
    31/31/x/31/31/x + 31/x/x/31/31/x = 1:527 413
    31/31/x/31/x/31 + 31/31/x/31/x/x = 1:527 413
    31/31/x/31/x/31 + 31/31/x/x/x/31 = 1:527 413
    31/31/x/31/x/31 + 31/x/x/31/x/31 = 1:527 413
    31/31/x/x/31/31 + 31/31/x/x/31/x = 1:527 413
    31/31/x/x/31/31 + 31/31/x/x/x/31 = 1:527 413
    31/31/x/x/31/31 + 31/x/x/x/31/31 = 1:527 413
    x/31/x/31/31/x + x/31/x/31/31/x = 1:598 919
    x/31/x/31/x/31 + x/31/x/31/x/31 = 1:598 919
    x/31/x/x/31/31 + x/31/x/x/31/31 = 1:598 919
    x/x/x/31/31/31 + x/x/x/31/31/31 = 1:598 919
    31/31/31/31/x/x + x/31/31/31/x/x = 1:613 614
    31/31/31/x/31/x + x/31/31/x/31/x = 1:613 614
    31/31/31/x/x/31 + x/31/31/x/x/31 = 1:613 614
    31/x/31/31/31/x + x/x/31/31/31/x = 1:613 614
    31/x/31/31/x/31 + x/x/31/31/x/31 = 1:613 614
    31/x/31/x/31/31 + x/x/31/x/31/31 = 1:613 614
    31/31/31/31/x/x + 31/31/x/31/x/x = 1:735 574
    31/31/31/x/31/x + 31/31/x/x/31/x = 1:735 574
    31/31/31/x/x/31 + 31/31/x/x/x/31 = 1:735 574
    31/x/31/31/31/x + 31/x/x/31/31/x = 1:735 574
    31/x/31/31/x/31 + 31/x/x/31/x/31 = 1:735 574
    31/x/31/x/31/31 + 31/x/x/x/31/31 = 1:735 574
    31/31/31/31/x/x + 31/31/31/x/x/x = 1:822 161
    31/31/31/31/x/x + 31/x/31/31/x/x = 1:822 161
    31/31/31/x/31/x + 31/31/31/x/x/x = 1:822 161
    31/31/31/x/31/x + 31/x/31/x/31/x = 1:822 161
    31/31/31/x/x/31 + 31/31/31/x/x/x = 1:822 161
    31/31/31/x/x/31 + 31/x/31/x/x/31 = 1:822 161
    31/x/31/31/31/x + 31/x/31/31/x/x = 1:822 161
    31/x/31/31/31/x + 31/x/31/x/31/x = 1:822 161
    31/x/31/31/x/31 + 31/x/31/31/x/x = 1:822 161
    31/x/31/31/x/31 + 31/x/31/x/x/31 = 1:822 161
    31/x/31/x/31/31 + 31/x/31/x/31/x = 1:822 161
    31/x/31/x/31/31 + 31/x/31/x/x/31 = 1:822 161
    x/31/31/31/x/x + x/31/31/31/x/x = 1:898 379
    x/31/31/x/31/x + x/31/31/x/31/x = 1:898 379
    x/31/31/x/x/31 + x/31/31/x/x/31 = 1:898 379
    x/x/31/31/31/x + x/x/31/31/31/x = 1:898 379
    x/x/31/31/x/31 + x/x/31/31/x/31 = 1:898 379
    x/x/31/x/31/31 + x/x/31/x/31/31 = 1:898 379
    31/31/x/31/x/x + 31/31/x/31/x/x = 1:1 746 111
    31/31/x/x/31/x + 31/31/x/x/31/x = 1:1 746 111
    31/31/x/x/x/31 + 31/31/x/x/x/31 = 1:1 746 111
    31/x/x/31/31/x + 31/x/x/31/31/x = 1:1 746 111
    31/x/x/31/x/31 + 31/x/x/31/x/31 = 1:1 746 111
    31/x/x/x/31/31 + 31/x/x/x/31/31 = 1:1 746 111
    31/31/31/x/x/x + 31/31/31/x/x/x = 1:3 492 222
    31/x/31/31/x/x + 31/x/31/31/x/x = 1:3 492 222
    31/x/31/x/31/x + 31/x/31/x/31/x = 1:3 492 222
    31/x/31/x/x/31 + 31/x/31/x/x/31 = 1:3 492 222


    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
    –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
  2. Mizuumi

    Mizuumi

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    GEEZ that list is huge! And I can hardly imagine how long it took to put it all together! More great work guys. Give yourselves a pat on the back (or a cookie, if you prefer ^^) (In fact... *gives cookies to X-act and peterko*)
  3. Too_Hungry35

    Too_Hungry35

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    Is this for only flawless IVs, or all the probabilites for IVs even if they aren't perfect?
  4. david stone

    david stone Fast-moving, smart, sexy and alarming.
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    Apparently, all IVs have an equal chance of being selected when chosen at random, so if you, for some reason, want to have an HP IV of 24 for whatever reason, then just replace all mentions of 31 HP with 24 HP on the single "flawless" HP section.

    In other words (and correct me if I'm wrong here), it doesn't matter how high you want the IV to be, if you're going for a fixed number and the parents have that same fixed number, these are the probabilities.
  5. Too_Hungry35

    Too_Hungry35

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    Is there any way for a Pokemon to pass down 3 flawless IVs and another parent just passing down one?
  6. ToP

    ToP

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    That'd be passing 4 IVs down, so no. The baby's random IVs might potentially match, giving it the appearance that 4 were down, so it's possible to get the IVs you're looking for, but not in the way that you described.
  7. Too_Hungry35

    Too_Hungry35

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    But it shows the probabilities up there that there's a chance that it can be passed down though.
  8. ToP

    ToP

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    Yes, I know. They also are saying that 4 IVs aren't actually passed down. Only 3 are passed down. The fourth is randomly generated, and it happens to match a perfect IV from a parent.
  9. Too_Hungry35

    Too_Hungry35

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    So would it still be good to put both good IV parents then even if you only pass down three? And is there a bigger chance the offspring will have better IVs if both parents have good IVs? Like 2 Bagons have 23 and 25 attack. Is there a chance the offspring can have a better attack?
  10. david stone

    david stone Fast-moving, smart, sexy and alarming.
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    If Attack is not selected, then yes.
  11. Peterko

    Peterko Never give up!
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    I call it "waiting for a random high (max) IV", it is quite worth doing it with HP as
    - HP has the highest probability to be chosen at random, the lowest probability to be passed through breeding
    - defense has a lower probability to be chosen at random than HP but a higher probability to be passed through breeding
    - attack/special attack/special defense/speed -> they will be passed very often so don´t try to wait for a random high on these

    it should be clear what you should aim for when breeding for a particular IV combination, just take a look at the numbers

    example: you want max HP/at/speed
    you can get attack first
    x/31/x/x/x/x + x/x/x/x/x/x = 51/192 = 26.5625% = 1:4

    then speed to have both
    x/31/x/x/x/x + x/x/x/x/x/31 = 1830/30 720 = 5.95703125% = 1:17

    you want a parent with HP
    31/x/x/x/x/x + x/31/x/x/x/x = 780/30720 = 2.5390625% = 1:40, or
    31/x/x/x/x/x + x/x/x/x/x/31 = 780/30 720 = 2.5390625 = 1:40

    best case scenario -> you have a 31at/speed parent and 31HP/at or 31HP/speed parent, now to get 31/31/x/x/x/31,
    31/31/x/x/x/x + x/31/x/x/x/31 = 33 810 / 3 932 160 = 0.859832763% = 1:117

    so ideally, after 158 eggs you have your max HP/at/speed pkmn, but what if you want both defs to be 20+ or 25+? you would try to get both parents with 31hp/at/speed (another 62 eggs) and wait for random defs to be high (now you get 31 hp/at/speed every 39 eggs), but they are passed really often so it would take too much time...

    so why not aim for 31at/sD/speed? the easiest combination to obtain -> in 84 eggs (4+17+9+54), to have both parents with 31at/sD/speed in just 113 eggs (compared to 220 in the first example), and now you get a 31at/sD/speed baby in every !16! eggs with a good chance to get a high random HP...which way would you go?
  12. ΩDonut

    ΩDonut don't glaze me bro
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    It was first realized when BobDoily presented some data that showed that out of the many Pokemon he bred, HP and Defense were being passed down less often than the other stats. I'm not sure what happened after that, but I think loadingNOW took a look at the ROM and then found the code responsible for this effect.
  13. Too_Hungry35

    Too_Hungry35

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    What do the extra space and numbers mean on some of them? Like when your looking at how to get six flawless stats, after the ratio there's a space and more numbers. What would that mean?
  14. david stone

    david stone Fast-moving, smart, sexy and alarming.
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    The last line is

    31/x/31/x/x/31 + 31/x/31/x/x/31 = 1:3 492 222

    The ratio is 1:3 492 222, which is the same as 1:3,492,222 and 1:3492222
  15. Thomaz

    Thomaz

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    So basically, to use my current breeding project as an example.

    I'm breeding for an Adamant BellyZard with 30/31/20+/x/20+/31.

    I have a max Atk/Spd Charmander and I'm breeding it with my 30 HP / 30 Atk / 31 Spd Ditto in hopes of passing the 30 HP and 31 Spd. Would I be better of breeding that Atk/Spd Char with an Adamant Ditto that has either Atk or Spd and another max stat (sadly I don't have a max Atk/Spd Ditto) then continue with this one and just hope I get lucky?

    Of course, if I get a very good Defensive Chari, I suppose I could shoot for a lower HP.

    I've always wondered how people breed these monster Pokes I'm seeing everywhere in the threads.
  16. Toothache

    Toothache Let the music play!
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    There are some other possibilities as well as the ones listed.

    For example, say you have a parent with 31/x/31/x/x/x and you are breeding with a parent with no max IVs. It is still possible to pull out a third (or more) max IV stat as well as passing down the HP and Def, albeit somewhat rarer than the other parent having a max IV to contribute
  17. X-Act

    X-Act np: Biffy Clyro - Shock Shock
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    Use my applet if you want that probability.
  18. Pim

    Pim

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    Well, I'm trying to breed a Smeargle with 6 31's (yes, I've seen the probabilities, but I'd like to try anyway xD) and I've been trying to work out the best way to do so. I've now got several Smeargle's with 2 perfect IV's in Attack, Sp. Attack, Sp. Defense or Speed, and one with 3 perfect IV's in HP, Sp Attack and Speed.

    Would it be best to first make one with 3 flawless in Attack/Sp. Attack/Sp. Defense/Speed and then try to make another triple flawless and breed those to get a quad flawless in "Attack/Sp. Attack/Sp. Defense/Speed" Which I can use to "wait for a max IV"
    or to use the HP/Sp Attack/Speed one, with one with flawless Sp. Def and Attack to get quad with easily passable flawless immidiately (replacing any parent with 3 easily passable flawless if I get one.)

    So in short:

    31/x/x/31/x/31 + x/31/x/x/31/x = Better parent

    or

    First get parents with 3 easily passable IV's, then breed those to get quad flawless.


    Also, maybe it'd be nice to mention the applet in the guide itself, as I only saw it when I read the posts.
  19. X-Act

    X-Act np: Biffy Clyro - Shock Shock
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    The applet is mentioned in the breeding guide; not in Part III though.

    As for your question:

    The best way would be to have two parents whose IVs, when interlaced, become a set of six perfect IVs. So if you have an x/31/x/x/x/31, this is best bred with 31/x/31/31/31/x. If you have 31/x/x/31/31/x, this is best bred with x/31/31/x/x/31. So first it's better to actually breed for two such parents, and then breed two such parents together.

    Say you end up with 31/x/x/31/31/x and x/31/31/x/x/31. Breeding these, you should eventually get a Pokemon with four 31 IVs. Switch this Pokemon with the appropriate parent and breed those... until you end up with a perfect 31/31/31/31/31/31 Pokemon.
  20. Mario With Lasers

    Mario With Lasers Why am I so shit
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    Hmm, now, I'm breeding for Ponytas, and I'm aiming for 31/31/20+/x/20+/31. The parents are 31/31/25/x/x/31 and x/31/x/x/x/31. I already know the chances of getting another 31/31/x/x/x/31 are 1:62, but how do I calculate the chances to get at least 20+ at both defenses?
  21. X-Act

    X-Act np: Biffy Clyro - Shock Shock
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    Calculating it manually would be very difficult, so I'll just give you a rough estimate.

    The odds of getting a 20+ IV at random is 12/32. The odds of getting two 20+ IVs at random is thus 12/32 x 12/32 = 9/64.

    Since getting a 31/31/x/x/x/31 baby has 1/62 odds, the odds of getting a 31/31/20+/x/20+/31 is roughly 9/64 x 1/62 = 0.002268 = 1:441 eggs.

    This is a rough estimate, but the real answer shouldn't be very far off this estimate.
  22. Bozo

    Bozo

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    i know this is a pretty old topic, but i have a question about the actual calculation of some of these numbers. in particular this one:

    31/31/x/x/x/31 + x/31/x/x/x/31 --> 31/31/x/x/x/31.

    i seem to get 1/120 whenever i try and calculate it manually (rather than the stated 1/62). i must be doing something wrong, because 1/62 is on the chart here, and also on the applet.

    ignoring random 31's for the time being.....

    the way i see it is that the hp must be passed in the first turn, with a 1/12 chance. the second IV to be passed is chosen from 10 possibilities (now that HP is not selected), and must be the atk or spd of either parent, so 4/10. the third IV to be passed is chosen from 8 possibilities (now that HP and Def are not selected), and it must be whichever of atk/spd was not chosen in the 2nd step, so this probability is 2/8. thus the probability of thw three stats being passed is

    1/12 x 4/10 x 2/8 = 1/120.

    i know there are also random chances (eg two 31's are passed, and another 31 appears by chance) but surely these are small enough not to bring it back up to the full 1/62?????

    i'd appreciate some clarification from the experts, along with (possibly?) an explanation/derivation.
  23. X-Act

    X-Act np: Biffy Clyro - Shock Shock
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    I'll answer Bozo's question later on today. Just posting this so that you don't think that I didn't see it.
  24. Peterko

    Peterko Never give up!
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    I did most of these manually back then...the right anwer to your question (not taking random IVs passing into consideration) is:

    1/12 x 1/5 x 1/4 = 1/240
    1/12 x 1/5 x 1/4 = 1/240
    1/240 + 1/240 = 1/120

    your calcs were right but your assumption that the random HP wouldn´t raise the probability that much was wrong
    ------------------------------------------------------
    HP passed, one of at/speed passed and one random 31
    1/12 x 1/5 x 2/4 x 1/32 = 2/7680
    1/12 x 1/5 x 2/4 x 1/32 = 2/7680
    1/12 x 4/5 x 1/4 x 1/32 = 4/7680
    1/12 x 4/5 x 1/4 x 1/32 = 4/7680
    -------------------------------------------------------
    attack and speed passed, HP random 31
    1/6 x 1/5 x 2/4 x 1/32 = 2/3840
    1/6 x 1/5 x 2/4 x 1/32 = 2/3840
    1/6 x 4/5 x 1/4 x 1/32 = 4/3840
    1/6 x 4/5 x 1/4 x 1/32 = 4/3840
    5/6 x 1/5 x 1/4 x 1/32 = 5/3840
    5/6 x 1/5 x 1/4 x 1/32 = 5/3840
    ------------------------------------------------------
    HP passed, other 2 random
    1/12 x 3/5 x 2/4 x 1/1024 = 1/81920
    -----------------------------------------------------
    one of attack/speed passed, other two random
    1/6 x 3/5 x 2/4 x 1/1024 = 1/20480
    1/6 x 3/5 x 2/4 x 1/1024 = 1/20480
    4/6 x 1/5 x 2/4 x 1/1024 = 1/15360
    4/6 x 1/5 x 2/4 x 1/1024 = 1/15360
    4/6 x 4/5 x 1/4 x 1/1024 = 1/7680
    4/6 x 4/5 x 1/4 x 1/1024 = 1/7680
    ----------------------------------------------------
    all 3 random
    3/6 x 3/5 x 2/4 x 1/32768
    ---------------------------------------------------
    = 1/120 + 1/640 + 11/1920 + 1/2048 + 18/ 3 932 160
    = 32768 + 6144 + 22528 + 1920 + 18 / 3 932 160
    = 63 378 / 3 932 160

    checking with the list
    31/31/x/x/31/x + x/31/x/x/31/x = 63 474 / 3 932 160 = 1.614227295% = 1:62

    I made a little mistake somewhere...but I´m very close to the accurate result...here you have it


  25. X-Act

    X-Act np: Biffy Clyro - Shock Shock
    is a Site Staff Alumnusis a Programmer Alumnusis a CAP Contributor Alumnusis a Researcher Alumnusis a Tiering Contributor Alumnusis a Contributor Alumnusis an Administrator Alumnus

    Joined:
    Feb 17, 2006
    Messages:
    4,675
    Thank you Peterko for working it out!

    The mistake you made is here:

    The fractions are all correct, but their product is 1/40960, not 1/81920.

    Also when you added up, you forgot to add the above probability (the one that was wrong).

    Adding them up with this correction:

    = 1/120 + 1/640 + 11/1920 + 1/40960 + 1/2048 + 18/ 3 932 160
    = (32768 + 6144 + 22528 + 96 + 1920 + 18) / 3 932 160
    = 63 474 / 3 932 160

    which is spot on.

    EDIT: This is off-topic, but if you read this Peterko, I'd like to apologize for not being able to answer the PM you sent me about one month (or was it two?) ago.

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