# Experience and Levels

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## Experience Points and LevelsEdit

Your character starts each game at level 1, and gains subsequent levels upon reaching predefined amounts of experience points. The number of experience points required to level up increases with each level gained. The maximum character level is 200.

Each time your character levels up it gains 1/4 of the stats gained by increasing in age, as determined by its age and race, and gains one AP.

Note that leveling up has no impact on your character's ability to be reborn, and that your character's level does not dictate its ability to use skills.

Also note that experience points do not "overflow." When your character hits the threshold to level up, any experience gained beyond the required amount is lost.

## Experience Requirement CalculationEdit

The experience requirement to progress from level 1 to level 2 is set at 100. After that, all subsequent level requirements are determined by setting the 4th derivative to 24 (and therefore the 5th derivative to 0). In plain English, the difference between (1st derivative) the difference between (2nd) the difference between (3rd) the difference between (4th) the amount of experience required to level up is 24, for any level N and N+1 where N>1.

An excerpt illustrating this point:

level | Exp Required | 1st Derivative | 2nd Derivative | 3rd Derivative | 4th Derivative | 5th Derivative |

2 | 208 | 206 | 52 | 18 | 24 | 0 |

3 | 414 | 258 | 70 | 42 | 24 | 0 |

4 | 672 | 328 | 112 | 66 | 24 | 0 |

5 | 1000 | 440 | 178 | 90 | 24 | 0 |

6 | 1440 | 618 | 268 | 114 | 24 | 0 |

Note that each cell in the derivative columns shows the difference between the cell that is 1 down and 1 left and the cell that is 1 left. For example, 414-208=206; 178-112=66; 42-18=24; etc. Using some mathematics, the experience required to level up at any given level is given by the formula:

Exp to level up to level t + 1= t^4 - 11 * t^3 + 70 * t^2

And the cumulative experience at a given level is given by the formula:

Cumulative exp at level t = 40 + t * (t + 1) * (698 + t * (1237 + 3 * t * (4 * t - 49))) / 60

## Experience Requirement ChartEdit

Level | Experience Required to Level Up | Cumulative Experience Required to Level Up |
---|---|---|

1 | 100 | 100 |

2 | 208 | 308 |

3 | 414 | 722 |

4 | 672 | 1,394 |

5 | 1,000 | 2,394 |

6 | 1,440 | 3,834 |

7 | 2,058 | 5,892 |

8 | 2,944 | 8,836 |

9 | 4,212 | 13,048 |

10 | 6,000 | 19,048 |

11 | 8,470 | 27,518 |

12 | 11,808 | 39,326 |

13 | 16,224 | 55,550 |

14 | 21,952 | 77,502 |

15 | 29,250 | 106,752 |

16 | 38,400 | 145,152 |

17 | 49,708 | 194,860 |

18 | 63,504 | 258,364 |

19 | 80,142 | 338,506 |

20 | 100,000 | 438,506 |

21 | 123,480 | 561,986 |

22 | 151,008 | 712,994 |

23 | 183,034 | 896,028 |

24 | 220,032 | 1,116,060 |

25 | 262,500 | 1,378,560 |

Level | Experience Required to Level Up | Cumulative Experience Required to Level Up |
---|---|---|

26 | 310,960 | 1,689,520 |

27 | 365,958 | 2,055,478 |

28 | 428,064 | 2,483,542 |

29 | 497,872 | 2,981,414 |

30 | 576,000 | 3,557,414 |

31 | 663,090 | 4,220,504 |

32 | 759,808 | 4,980,312 |

33 | 866,844 | 5,847,156 |

34 | 984,912 | 6,832,068 |

35 | 1,114,750 | 7,946,818 |

36 | 1,257,120 | 9,203,938 |

37 | 1,412,808 | 10,616,746 |

38 | 1,582,624 | 12,199,370 |

39 | 1,767,402 | 13,966,772 |

40 | 1,968,000 | 15,934,772 |

41 | 2,185,300 | 18,120,072 |

42 | 2,420,208 | 20,540,280 |

43 | 2,673,654 | 23,213,934 |

44 | 2,946,592 | 26,160,526 |

45 | 3,240,000 | 29,400,526 |

46 | 3,554,880 | 32,955,406 |

47 | 3,892,258 | 36,847,664 |

48 | 4,253,184 | 41,100,848 |

49 | 4,638,732 | 45,739,580 |

50 | 5,050,000 | 50,789,580 |

## Experience GainedEdit

Formula :

(((Monster CP / Player CP ) + Map Modifier ) * Monster CP ) * (1 + (Player Luck / 300)) * Title Modifier