Level Up Patterns (FE1-3)

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This content was originally provided by Nitrodon.

This is a phenomenon that occurs in Dark Dragon and Sword of Light, Fire Emblem Gaiden and Mystery of the Emblem due a fallacy in the Random Number Generator (RNG) when continuous strings of Random Numbers (RNs) are created.

Although every character has a defined set of growth rates for each stat, which are the percentage chance of them gaining a point in that stat during a Level Up, in practice the stats gained during a Level Up fall into only a limited set of patterns.

During a Level Up, one RN (with a value from 0-99) is "rolled" for each stat; if the RN is lower than the growth rate for the stat, that stat will increase. In these three games specifically, the value of the next RN is simply the value of the previous RN plus a constant.

Normally, the game relies on the element of time to create variety in the value of RNs, but this is not the case during a Level Up where multiple RNs need to be generated in a very short time period. The close relationship between each RN in the RN string used in Level Ups leads to observable stat gain patterns.

FE1

Next RN = [Previous RN (range: 0-255) + 55] * (10 / 25) rounded down <Max value 100>
If the value in the square brackets is over 256, subtract 256 from it
Order of stats during Level Up: MHP DEF LCK SPD WLV SKL STR

FE2

Next RN = [Previous RN (range: 0-255) + 55] * (100 / 256) rounded down <Max value 99>
If the value in the square brackets is over 256, subtract 256 from it
Order of stats during Level Up: MHP DEF LCK SPD SKL STR

FE3

Next RN = [Previous RN (range: 0-255) + 143] * (100 / 256) rounded down <Max value 99>
If the value in the square brackets is over 256, subtract 256 from it
Order of stats during Level Up: STR SKL SPD LCK DEF RES MHP WLV

Examples

Patterns