Difference between revisions of "Weighted Resource Average (Game Mechanics)"
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− | + | Note: Fraction amounts in WRA's are carried over, not chopped off. | |
− | + | ||
+ | To illustrate examples, lightsaber and armor schematics will be used. | ||
=='''The Basics'''== | =='''The Basics'''== | ||
Line 151: | Line 151: | ||
To demonstrate the equations I use the following resources: | To demonstrate the equations I use the following resources: | ||
− | Duralloy steel : Skisref - | + | Duralloy steel : Skisref - 40 Units |
* 611 CD | * 611 CD | ||
* 974 OQ | * 974 OQ | ||
Line 157: | Line 157: | ||
* 992 UT | * 992 UT | ||
− | Titanium aluminium : Vepacis - | + | Titanium aluminium : Vepacis - 22 Units |
* 382 CD | * 382 CD | ||
* 921 OQ | * 921 OQ | ||
Line 163: | Line 163: | ||
* 325 UT | * 325 UT | ||
− | Polymer : Iose - (These resources do not have Conductivity) | + | Polymer : Iose - 28 Units (These resources do not have Conductivity) |
* 993 OQ | * 993 OQ | ||
* 785 SR | * 785 SR | ||
* 982 UT | * 982 UT | ||
− | Culsion Inert Gas : Moilekit - (These resources do not have Conductivity or Unit Toughness) | + | Culsion Inert Gas : Moilekit - 28 Units (These resources do not have Conductivity or Unit Toughness) |
* 942 OQ | * 942 OQ | ||
− | Polysteel copper : Aloiam - | + | Polysteel copper : Aloiam - 28 Units |
* 969 CD | * 969 CD | ||
* 980 OQ | * 980 OQ | ||
Line 212: | Line 212: | ||
− | |||
+ | {| align="center" | ||
+ | |- | ||
+ | || | ||
+ | [[image:LightsaberExperimentalProperties.jpg|200px|thumb|Lightsaber Experimental Properties]] | ||
+ | |} | ||
− | |||
− | + | As with the previous armor example, resources that do not have the necessary stats are effectively removed from the calculation for that particular slot. For lightsabers this applies to Culsion Inert Gas and Polymer respectively for the values UT, and CD. Even though each of the experimental properties fall under a particular experimental line, the properties remain unique from each other in that they all have their own weighted resource average calculations. The WRA's will be used to construct the experimentation lines for each individual property. | |
− | <center>Overall Quality 66%:</center> | + | <br><br> |
+ | |||
+ | == Part I. == | ||
+ | |||
+ | <center><font size = 3>'''33% CD/66% OQ Minimum Damage, Maximum Damage & Force Power Cost'''</font></center> | ||
+ | |||
+ | |||
+ | The Minumum Damage, Maximum Damage and Force Power Cost properties on lightsabers all depend on Conductivity and Overall Quality at a ratio of 33%:66%. Each individual property will have its own unique weighted average. So for the Experimental Damage line, there will be 2 properties on it which will base their weighted averages off of a relation ship of 33% CD and 66% OQ. The Experimental Efficiency line will have 1 property based off of a 33% CD and 66% OQ relationship. To calculate the relationship we will obtain the weighted value for each resource stat CD and OQ respectively, then sum them at the end to obtain the weighted average for each experimental property:<br><br> | ||
+ | |||
+ | <center><font size = 3>'''Overall Quality 66%:'''</font></center><br><br> | ||
<center>OQ1: Material 1 Overall Quality</center> | <center>OQ1: Material 1 Overall Quality</center> | ||
Line 234: | Line 246: | ||
<center>n4: Number of Material 4 required in schematic</center> | <center>n4: Number of Material 4 required in schematic</center> | ||
<center>OQ5: Material 5 Overall Quality</center> | <center>OQ5: Material 5 Overall Quality</center> | ||
− | <center>n5: Number of Material 5 required in schematic </center> | + | <center>n5: Number of Material 5 required in schematic </center><br><br> |
+ | <center>Weighted Average For OQ</center><br><br> | ||
− | + | <center>( ((OQ1 x n1) + (OQ2 x n2) + (OQ3 x n3) + (OQ4 x n4) + (OQ5 x n5)) )</center><br> | |
− | <center>( ((OQ1 x n1) + (OQ2 x n2) + (OQ3 x n3) + (OQ4 x n4) + (OQ5 x n5)) ) | + | |
<center>--------------------------------------------------------------------------------</center> | <center>--------------------------------------------------------------------------------</center> | ||
<center>(n1 + n2 + n3 + n4 + n5)</center><br> | <center>(n1 + n2 + n3 + n4 + n5)</center><br> | ||
Line 244: | Line 256: | ||
<center>( 2/3 )</center> | <center>( 2/3 )</center> | ||
− | == | + | ( 38960 + 20262 + 27804 + 26376 + 27440 ) / ( 146 / (2/3) ) |
+ | |||
+ | |||
+ | 146 / (2/3) = 219<br><br> | ||
+ | |||
+ | 140842 / 219 = 643.1141553 WRA of OQ | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>'''Conductivity 33%'''</font></center><br><br> | ||
+ | |||
+ | |||
+ | <center>CD1: Material 1 Conductivity</center> | ||
+ | <center>n1: Number of Material 1 required in schematic</center> | ||
+ | <center>CD2: Material 2 Conductivity</center> | ||
+ | <center>n2: Number of Material 2 required in schematic</center> | ||
+ | <center>CD3: Material 3 Conductivity</center> | ||
+ | <center>n3: Number of Material 3 required in schematic</center> | ||
+ | |||
+ | <center>Weighted Average For CD</center><br><br> | ||
+ | |||
+ | |||
+ | <center>(( ((CD1 x n1) + (CD2 x n2) + (CD3 x n3)) )</center> | ||
+ | <center>--------------------------------------------------------------------------------</center> | ||
+ | <center>(n1 + n2 + n3)</center> | ||
+ | <center>--------------------------------------------------------------------------------</center> | ||
+ | |||
+ | <center>( 1/3 )</center> | ||
+ | |||
+ | |||
+ | (24440 + 8404 + 27132 ) / (90 / (1/3) ) | ||
+ | |||
+ | 90 / (1/3) = 270 | ||
+ | |||
+ | |||
+ | 59976 / 270 = 222 WRA of CD | ||
+ | |||
+ | |||
+ | To get the weighted average for Min/Max Damage and Force cost you add up the numbers for Overall Quality and Conductivity. | ||
+ | |||
+ | Weighted average of OQ + weighted average of CD = weighted average for each property; Min/Max Damage and Force cost. | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | 222 + 643.1141553 = 865.2474886 WRA | ||
+ | |||
+ | |||
+ | <center><font size = 3>Final Averages</font></center> | ||
+ | |||
+ | |||
+ | <center>'''Minumum Damage = 865.2474886 WRA'''</center><br> | ||
+ | <center>'''Maximum Damage = 865.2474886 WRA'''</center><br> | ||
+ | <center>'''Force Power Cost = 865.2474886 WRA'''</center><br> | ||
+ | |||
+ | == Part II. == | ||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>'''100% OQ Health, Action and Mind Cost</font></center><br><br> | ||
+ | |||
+ | |||
+ | The Attack Action, Attack Health, and Attack Mind Cost properties on lightsabers all depend on Overall Quality at a ratio of 100%. Each individual property will have its own unique weighted average. So for the Experimental Efficiency line, there will be 3 properties on it which will base their weighted averages off of a relation ship of 100% OQ. To calculate the relationship we will obtain the weighted value for the stat OQ, then sum them at the end to obtain the weighted average for each experimental property: | ||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>'''Overall Quality 100%:'''</font></center><br><br> | ||
+ | |||
+ | <center>OQ1: Material 1 Overall Quality</center><br> | ||
+ | <center>n1: Number of Material 1 required in schematic</center><br> | ||
+ | <center>OQ2: Material 2 Overall Quality</center><br> | ||
+ | <center>n2: Number of Material 2 required in schematic</center><br> | ||
+ | <center>OQ3: Material 3 Overall Quality</center><br> | ||
+ | <center>n3: Number of Material 3 required in schematic</center><br> | ||
+ | <center>OQ4: Material 4 Overall Quality</center><br> | ||
+ | <center>n4: Number of Material 4 required in schematic</center><br> | ||
+ | <center>OQ5: Material 5 Overall Quality</center><br> | ||
+ | <center>n5: Number of Material 5 required in schematic</center> <br><br> | ||
+ | |||
+ | |||
+ | <center>Weighted average for OQ</center><br><br> | ||
+ | |||
+ | <center>( ((OQ1 x n1) + (OQ2 x n2) + (OQ3 x n3) + (OQ4 x n4) + (OQ5 x n5)) )</center> | ||
+ | <center>----------------------------------------------------------</center> | ||
+ | <center>(n1 + n2 + n3 + n4 + n5)</center> | ||
+ | |||
+ | |||
+ | (974 x 40) + (921 x 22) + (993 x 28) + (942 x 28) + (980 x 28) / (40 + 22 + 28 + 28 + 28) = | ||
+ | |||
+ | |||
+ | |||
+ | 140842 / 146 = 964.67123287671232876712328767123 | ||
+ | |||
+ | |||
+ | Weighted average OQ = weighted average Health, Action and Mind cost | ||
+ | |||
+ | |||
+ | <center>Final Averages </center> | ||
+ | |||
+ | <center>'''Attack Action Cost = 964.67123287671232876712328767123 WRA'''</center> | ||
+ | <center>'''Attack Health Cost = 964.67123287671232876712328767123 WRA'''</center> | ||
+ | <center>'''Attack Mind Cost = 964.67123287671232876712328767123 WRA'''</center> | ||
+ | |||
+ | == Part III. == | ||
+ | |||
+ | |||
+ | <center><font size = 3>'''Wound chance - 50% SR / 50% UT'''</font></center><br><br> | ||
+ | |||
+ | |||
+ | The Wound Chance property on lightsabers depends on Shock Resistance and Unit Toughness at a ratio of 50% / 50%. Each individual property will have its own unique weighted average. So for the Experimental Damage line, there will be 1 properties on it which will base their weighted averages off of a relation ship of 50% SR and 50% UT. To calculate the relationship we will obtain the weighted value for the stat SR and UT, then sum them at the end to obtain the weighted average for each experimental property: | ||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>'''Shock Resistance 50%:'''</font></center><br><br> | ||
+ | |||
+ | <center>SR1: Material 1 Shock Resistance</center><br> | ||
+ | <center>n1: Number of Material 1 required in schematic</center><br> | ||
+ | <center>SR2: Material 2 Shock Resistance</center><br> | ||
+ | <center>n2: Number of Material 2 required in schematic</center><br> | ||
+ | <center>SR3: Material 3 Shock Resistance</center><br> | ||
+ | <center>n3: Number of Material 3 required in schematic</center><br> | ||
+ | <center>SR4: Material 4 Shock Resistance</center><br> | ||
+ | <center>n4: Number of Material 4 required in schematic</center><br><br> | ||
+ | |||
+ | |||
+ | <center>Weighted Average For SR</center><br><br> | ||
+ | |||
+ | <center>( ((SR1 x n1) + (SR2 x n2) + (SR3 x n3) + (SR4 x n4)) )</center><br> | ||
+ | <center>------------------------------------------------------</center> | ||
+ | <center>(n1 + n2 + n3 + n4)</center><br> | ||
+ | <center>------------------------------------------------------</center> | ||
+ | <center>( 1/2 )</center><br> | ||
+ | |||
+ | |||
+ | ( 943 x 40 ) + (391 x 22) + (785 x 28 ) + (787 x 28 ) | ||
+ | ----------------------------------------------------- | ||
+ | 40 + 22 + 28 +28 | ||
+ | -------------------------------------------------- | ||
+ | 1/2 | ||
+ | |||
+ | |||
+ | |||
+ | 37720 + 8602 + 21980 + 22036 | ||
+ | |||
+ | 118 / (1/2) = 236 | ||
+ | |||
+ | |||
+ | 90338 / 236 = 382.78813559322033898305084745763 WRA for Sock Resist | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>'''Unit Toughness 50%:'''</font></center><br><br> | ||
+ | |||
+ | <center>UT1: Material 1 Unit Toughness</center><br> | ||
+ | <center>n1: Number of Material 1 required in schematic</center><br> | ||
+ | <center>UT2: Material 2 S Unit Toughness</center> | ||
+ | <center>n2: Number of Material 2 required in schematic</center><br> | ||
+ | <center>UT3: Material 3 Unit Toughness</center><br> | ||
+ | <center>n3: Number of Material 3 required in schematic</center><br> | ||
+ | <center>UT4: Material 4 Unit Toughness</center><br> | ||
+ | <center>n4: Number of Material 4 required in schematic</center><br> | ||
+ | |||
+ | <center>Weighted Average For UT</center><br><br> | ||
+ | |||
+ | |||
+ | <center>( ((UT1 x n1) + (UT2 x n2) + (UT3 x n3) + (UT4 x n4)) )</center><br> | ||
+ | <center>------------------------------------------------------</center> | ||
+ | <center>(n1 + n2 + n3 +n4)</center> | ||
+ | <center>------------------------------------------------------</center> | ||
+ | <center>( 1/2 )</center> | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | (992 x 40 ) + (325 x 22 ) + (982 x 28 ) + (776 x 28 ) | ||
+ | |||
+ | ------------------------------------------------------ | ||
+ | 40 + 22 + 28 + 28 | ||
+ | |||
+ | ------------------------------------------------------ | ||
+ | |||
+ | 1/2 | ||
+ | |||
+ | |||
+ | |||
+ | (39680 + 7150 + 27496 + 21728 ) | ||
+ | ------------------------------- | ||
+ | |||
+ | 118 / (1/2) = 236 | ||
+ | |||
+ | |||
+ | 96054 / 236 = 407.00847457627118644067796610169 WRA for UT. | ||
+ | |||
+ | |||
+ | Weighted average SR + weighted average UT = Weighted average Wound Chance | ||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>Final Averages</font><br><br></center> | ||
+ | <center>'''Wound Chance = 789.79661016949152542372881355929 WRA'''</center> | ||
+ | |||
+ | <br><br> | ||
+ | == Part IV. == | ||
+ | |||
+ | |||
+ | <center><font size = 3>'''Speed – 50% CD / 50% OQ:'''</font></center><br><br> | ||
+ | |||
+ | |||
+ | The Attack Speed property on lightsabers depends on Overall Quality and Conductivity at a ratio of 50% / 50%. Each individual property will have its own unique weighted average. So for the Experimental Damage line, there will be 1 properties on it which will base their weighted averages off of a relation ship of 50% CD and 50% OQ. To calculate the relationship we will obtain the weighted value for the stat CD and OQ, then sum them at the end to obtain the weighted average for each experimental property: | ||
+ | |||
+ | |||
+ | <center><font size = 3>'''Overall Quality 50%'''</font></center><br><br> | ||
+ | |||
+ | <center>OQ1: Material 1 Overall Quality</center><br> | ||
+ | <center>n1: Number of Material 1 required in schematic</center><br> | ||
+ | <center>OQ2: Material 2 Overall Quality</center><br> | ||
+ | <center>n2: Number of Material 2 required in schematic</center><br> | ||
+ | <center>OQ3: Material 3 Overall Quality</center><br> | ||
+ | <center>n3: Number of Material 3 required in schematic</center><br> | ||
+ | <center>OQ4: Material 4 Overall Quality</center><br> | ||
+ | <center>n4: Number of Material 4 required in schematic</center><br> | ||
+ | <center>OQ5: Material 5 Overall Quality</center><br> | ||
+ | <center>n5: Number of Material 5 required in schematic </center><br> | ||
+ | |||
+ | |||
+ | |||
+ | <center>Wighted Resource Average for OQ</center><br><br> | ||
+ | |||
+ | |||
+ | <center>(( ((OQ1*n1) + (OQ2*n2) + (OQ3*n3) + (OQ4*n4) ) + (OQ5*n5)) ) = Weighted average OQ</center><br> | ||
+ | <center>---------------------------------------------------------------------</center><br> | ||
+ | <center>(n1+n2+n3+n4+n5)</center><br> | ||
+ | <center>---------------------------------------------------------------------</center><br> | ||
+ | <center>( 1/2 )</center><br> | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | (974 x 40 ) + (921 x 22 ) + (993 x 28 ) + (942 x 28 ) + (980 x 28 ) | ||
+ | |||
+ | ------------------------------------------------------- | ||
+ | |||
+ | 40 + 22 + 28 +28 + 28 | ||
+ | |||
+ | ----------------------------- | ||
+ | |||
+ | 1/2 | ||
+ | |||
+ | |||
+ | 38960 + 20262 + 27804 + 26376 + 27440 | ||
+ | |||
+ | ----------- | ||
+ | |||
+ | 146 | ||
+ | ------------ | ||
+ | 1/2 | ||
+ | |||
+ | |||
+ | 146 / ( 1/2) = 292 | ||
+ | |||
+ | |||
+ | 140842 / 292 = 482.33561643835616438356164383562 WRA for OQ | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>'''Conductivity 50%:'''</font></center><br><br> | ||
+ | |||
+ | <center>CD1: Material 1 Conductivity</center><br> | ||
+ | <center>n1: Number of Material 1 required in schematic</center><br> | ||
+ | <center>CD2: Material 2 Conductivity</center><br> | ||
+ | <center>n2: Number of Material 2 required in schematic</center><br> | ||
+ | <center>CD3: Material 3 Conductivity</center><br> | ||
+ | <center>n3: Number of Material 3 required in schematic</center><br><br> | ||
+ | |||
+ | |||
+ | <center>Wighted Resource Average for CD</center><br><br> | ||
+ | |||
+ | <center>( ((CD1 x n1) + (CD2 x n2) + (CD3 x n3)) )</center><br> | ||
+ | <center>-----------------------------------------------------------</center><br> | ||
+ | <center>(n1 + n2 + n3)</center><br> | ||
+ | <center>-----------------------------------------------------------</center><br> | ||
+ | <center>( 1/2 )</center><br> | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | ( 611 x 40 ) + ( 382 x 22 ) + (969 x 28 ) | ||
+ | ------------------------------------------- | ||
+ | 40 + 22 + 28 | ||
+ | ------------------------------------------- | ||
+ | 1/2 | ||
+ | |||
+ | |||
+ | 24440 + 8404 + 27132 | ||
+ | --------------------- | ||
+ | 90 | ||
+ | |||
+ | |||
+ | 90 / (1/2) = 180 | ||
+ | |||
+ | 59976 / 180 = 333.2 WRA for CD | ||
+ | |||
+ | |||
+ | Weighted average CD + weighted average OQ = Weighted average Speed | ||
+ | |||
+ | |||
+ | |||
+ | <center><font size = 3>Final Average</font></center><br><br> | ||
+ | |||
+ | |||
+ | <center>'''Attack Speed = 815.5356164383561643835616438356 WRA'''</center><br> | ||
+ | |||
+ | <br><br> | ||
+ | |||
+ | == Resource Weight Ratios == | ||
− | The following is a list of | + | The following is a list of currently known resource weight ratios available to crafted items. |
− | 1. 50/50<br> | + | '''1.)''' 50%/50%<br><br> |
− | 2. 33/66<br> | + | '''2.)''' 33% / 66%<br><br> |
− | 3. 100<br> | + | '''3.)''' 100%<br><br> |
− | 4. 25/25/50<br> | + | '''4.)''' 25% / 25% / 50%<br><br> |
− | 5. 25/75<br> | + | '''5.)''' 25% / 75%<br><br> |
− | 6. 20/50/30<br> | + | '''6.)''' 20% / 50% / 30%<br><br> |
− | 7. 75/25<br> | + | '''7.)''' 75% / 25%<br><br> |
− | 8. 66/33<br> | + | '''8.)''' 66% / 33%<br><br> |
− | 9. 33/33/33<br> | + | '''9.)''' 33% / 33% / 33%<br><br> |
− | 10. 50/25/25<br> | + | '''10.)''' 50% / 25% / 25%<br><br> |
− | 11. 40/20/40<br> | + | '''11.)''' 40% / 20% / 40%<br><br> |
− | 12. 60/40<br> | + | '''12.)''' 60% / 40%<br><br> |
− | 13. 66/16/16<br> | + | '''13.)''' 66% / 16% / 16%<br><br> |
− | 14. 40/60<br> | + | '''14.)''' 40% / 60%<br><br> |
− | 15. 25/25/25/25<br> | + | '''15.)''' 25% / 25% / 25% / 25%<br><br> |
==Source References== | ==Source References== |
Latest revision as of 06:04, 16 May 2008
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Game Mechanics - Mechanics Category
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Weighted Resource AverageThis section describes how the weighted average experimental quality is calculated based on resource attributes. Essentially, for each experimental statistic there is weighted average quality that depends on
The BasicsWhen you experiment on a piece of armor, you get three options, one of which is Experimental Quality. Experimenting on experimental quality raises the base resists of the item. However, in order to know how experimentation will effect the base item, you first need to calculate the weighted average quality of the item for that particular experimental statistic. The weighted average quality for Experimental Quality on all armor is based on the Overall Quality and Shock Resistance at a 50-50 ratio. The shock resistance of each material multiplied by the quantity used divided by the sum of the total quantites of the materials used. This will give you the average shock resistance for the item. The same process is performed for Overall Quality and a weighted average of the two (50/50 in this case) is determined. For materials that do not have one of the values (for example solid petrochem fuel), the equation simply removes that factor from the calculation. For example, say you're making a composite helm using the following materials (we're only going to list the OQ/Shock of these theoretical materials, since that's all applies to resistances):
You're looking effectively using the following total quality of material...
((((70*800) + (70*950) + (35*700) + (40*600) + (30*700) + (30*900)) / (70 + 70 + 35 + 40 + 30 + 30 )) + (((70*900) + (35*900) + (40*800) + (30*400) + (30*600)) / (70 + 36 + 40 + 30 + 30)))) / 2
The full equation for finding the weighted average attribute quality is described below:
OQ1: Material 1 Overall Quality OQ2: Material 2 Overall Quality OQ3: Material 3 Overall Quality
Variable Resource WeightsAnother way of looking at the weighted averages is by examining how this system works within the confines of lightsaber construction. The following examples will be using 4th generation light saber schematics which require a total of 5 distinct resources, being Duralloy Steel, Titanium Aluminum, Polymer, Culsion Inert Gas, Polysteel Copper.
Duralloy steel : Skisref - 40 Units
Titanium aluminium : Vepacis - 22 Units
Polymer : Iose - 28 Units (These resources do not have Conductivity)
Culsion Inert Gas : Moilekit - 28 Units (These resources do not have Conductivity or Unit Toughness)
Polysteel copper : Aloiam - 28 Units
Lightsabers have the following experimentation lines and properties:
Part I.
( 38960 + 20262 + 27804 + 26376 + 27440 ) / ( 146 / (2/3) )
140842 / 219 = 643.1141553 WRA of OQ
90 / (1/3) = 270
Weighted average of OQ + weighted average of CD = weighted average for each property; Min/Max Damage and Force cost.
Part II.
140842 / 146 = 964.67123287671232876712328767123
Part III.
40 + 22 + 28 +28 1/2
37720 + 8602 + 21980 + 22036 118 / (1/2) = 236
40 + 22 + 28 + 28 1/2
(39680 + 7150 + 27496 + 21728 ) 118 / (1/2) = 236
Part IV.
40 + 22 + 28 +28 + 28 1/2
146 1/2
( 611 x 40 ) + ( 382 x 22 ) + (969 x 28 ) 40 + 22 + 28 1/2
90
59976 / 180 = 333.2 WRA for CD
Resource Weight RatiosThe following is a list of currently known resource weight ratios available to crafted items.
Source References
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