Ultimate Weapon Plus - Golden Combo[edit | edit source]
Ultimate Weapon Plus abilities can only be unlocked when all 9 Ultimate Weapons are unlocked. Golden Combo increases cash and coins earned after Golden Tower finishes by x% for each kill. The equation to determine the bonus is shown below:
Bonus multiplier = ((1 + 0.0003 x (Level + 1))^Kill) - 1
Golden Combo will only count killed enemies that spawned during the activation. Enemies that were alive before the current Golden tower activation will not be included in the kill count.
UW+ Cost Table
|
---|
Level
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
---|
Cost
|
Unlocked
|
300
|
360
|
430
|
510
|
620
|
750
|
900
|
1100
|
1350
|
1650
|
---|
Value
|
0.03%
|
0.06%
|
0.09%
|
0.12%
|
0.15%
|
0.18%
|
0.21%
|
0.24%
|
0.27%
|
0.30%
|
0.33%
|
---|
The final bonus received very much depends on the duration of the GT.
K = Kills during GT = Kills per second * duration = Kps * d
B = Bonus multiplier = ((1 + 0.0003 x (Level + 1))^K) - 1
I = Income during GT = K * income per mob
T = Number of GT activations = Total duration / GT CD
FI = Final income = T * (I + I * B) => T * I * (1 + B) => T * Kps * d * income per mob * ((1 + 0.0003 x (Level + 1))^(Kps * d))
We can solve for FI(d+1) vs FI(d) as
T * Kps * (d + 1) * income per mob * ((1 + 0.0003 x (Level + 1))^(Kps * (d+1)))
---------------------------------------------------------------------------
T * Kps * d * income per mob * ((1 + 0.0003 x (Level + 1))^(Kps * d))
Which reduces to
(d + 1)
------- * ((1 + 0.0003 x (Level + 1))^Kps)
d
And thus we can make a table of the expected relative income when comparing both GT+ levels and duration.
Following table shows Relative income when comparing both GT+ levels and duration.Assumes 5s of mobs at the start of the GT+ that is not included the GT+ bonus and Kps=8.Numbers are relative to GT+10 at 60s.
Relative income when comparing both GT+ levels and duration.
Level/Duration
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
---|
40
|
0,177
|
0,192
|
0,209
|
0,227
|
0,247
|
0,269
|
0,292
|
0,318
|
0,345
|
0,376
|
41
|
0,183
|
0,199
|
0,217
|
0,237
|
0,258
|
0,281
|
0,306
|
0,334
|
0,364
|
0,397
|
42
|
0,189
|
0,206
|
0,225
|
0,246
|
0,269
|
0,294
|
0,321
|
0,351
|
0,383
|
0,419
|
43
|
0,195
|
0,213
|
0,233
|
0,256
|
0,280
|
0,307
|
0,336
|
0,368
|
0,403
|
0,441
|
44
|
0,201
|
0,220
|
0,242
|
0,266
|
0,292
|
0,320
|
0,352
|
0,386
|
0,424
|
0,465
|
45
|
0,207
|
0,228
|
0,251
|
0,276
|
0,303
|
0,334
|
0,368
|
0,404
|
0,445
|
0,490
|
46
|
0,213
|
0,235
|
0,259
|
0,286
|
0,316
|
0,348
|
0,384
|
0,424
|
0,467
|
0,515
|
47
|
0,219
|
0,242
|
0,268
|
0,297
|
0,328
|
0,363
|
0,401
|
0,443
|
0,490
|
0,542
|
48
|
0,226
|
0,250
|
0,277
|
0,307
|
0,341
|
0,378
|
0,418
|
0,464
|
0,514
|
0,570
|
49
|
0,232
|
0,258
|
0,286
|
0,318
|
0,354
|
0,393
|
0,437
|
0,485
|
0,539
|
0,599
|
50
|
0,238
|
0,265
|
0,296
|
0,329
|
0,367
|
0,409
|
0,455
|
0,507
|
0,564
|
0,629
|
51
|
0,245
|
0,273
|
0,305
|
0,341
|
0,380
|
0,425
|
0,474
|
0,529
|
0,591
|
0,660
|
52
|
0,251
|
0,281
|
0,315
|
0,352
|
0,394
|
0,441
|
0,494
|
0,553
|
0,618
|
0,692
|
53
|
0,258
|
0,289
|
0,325
|
0,364
|
0,409
|
0,458
|
0,514
|
0,577
|
0,647
|
0,726
|
54
|
0,264
|
0,297
|
0,335
|
0,376
|
0,423
|
0,476
|
0,535
|
0,602
|
0,676
|
0,761
|
55
|
0,271
|
0,306
|
0,345
|
0,389
|
0,438
|
0,494
|
0,557
|
0,627
|
0,707
|
0,797
|
56
|
0,278
|
0,314
|
0,355
|
0,401
|
0,453
|
0,512
|
0,579
|
0,654
|
0,739
|
0,834
|
57
|
0,285
|
0,323
|
0,365
|
0,414
|
0,469
|
0,531
|
0,601
|
0,681
|
0,771
|
0,874
|
58
|
0,292
|
0,331
|
0,376
|
0,427
|
0,485
|
0,550
|
0,625
|
0,709
|
0,805
|
0,914
|
59
|
0,299
|
0,340
|
0,387
|
0,440
|
0,501
|
0,570
|
0,649
|
0,739
|
0,840
|
0,956
|
60
|
0,306
|
0,349
|
0,398
|
0,454
|
0,518
|
0,591
|
0,674
|
0,769
|
0,877
|
1,000
|
61
|
0,313
|
0,358
|
0,409
|
0,468
|
0,535
|
0,612
|
0,699
|
0,800
|
0,914
|
1,045
|
62
|
0,320
|
0,367
|
0,420
|
0,482
|
0,552
|
0,633
|
0,726
|
0,832
|
0,953
|
1,092
|
63
|
0,327
|
0,376
|
0,432
|
0,496
|
0,570
|
0,655
|
0,753
|
0,865
|
0,993
|
1,141
|
64
|
0,334
|
0,385
|
0,443
|
0,511
|
0,588
|
0,678
|
0,780
|
0,899
|
1,035
|
1,192
|
65
|
0,341
|
0,394
|
0,455
|
0,526
|
0,607
|
0,701
|
0,809
|
0,934
|
1,078
|
1,245
|
66
|
0,349
|
0,404
|
0,467
|
0,541
|
0,626
|
0,724
|
0,838
|
0,970
|
1,123
|
1,299
|
67
|
0,356
|
0,413
|
0,480
|
0,556
|
0,645
|
0,749
|
0,869
|
1,008
|
1,169
|
1,356
|
68
|
0,364
|
0,423
|
0,492
|
0,572
|
0,665
|
0,774
|
0,900
|
1,046
|
1,216
|
1,414
|
69
|
0,371
|
0,433
|
0,505
|
0,588
|
0,686
|
0,799
|
0,932
|
1,086
|
1,266
|
1,475
|
70
|
0,379
|
0,443
|
0,517
|
0,605
|
0,707
|
0,826
|
0,965
|
1,127
|
1,317
|
1,538
|
71
|
0,387
|
0,453
|
0,530
|
0,621
|
0,728
|
0,852
|
0,998
|
1,169
|
1,369
|
1,604
|
72
|
0,394
|
0,463
|
0,544
|
0,638
|
0,750
|
0,880
|
1,033
|
1,213
|
1,424
|
1,671
|
73
|
0,402
|
0,473
|
0,557
|
0,656
|
0,772
|
0,908
|
1,069
|
1,258
|
1,480
|
1,742
|
74
|
0,410
|
0,484
|
0,571
|
0,673
|
0,794
|
0,937
|
1,106
|
1,304
|
1,538
|
1,814
|
75
|
0,418
|
0,494
|
0,585
|
0,691
|
0,818
|
0,967
|
1,143
|
1,352
|
1,598
|
1,890
|
76
|
0,426
|
0,505
|
0,599
|
0,710
|
0,841
|
0,997
|
1,182
|
1,401
|
1,661
|
1,968
|
77
|
0,434
|
0,516
|
0,613
|
0,728
|
0,866
|
1,028
|
1,222
|
1,452
|
1,725
|
2,049
|
78
|
0,442
|
0,527
|
0,627
|
0,747
|
0,890
|
1,060
|
1,263
|
1,504
|
1,791
|
2,133
|
79
|
0,450
|
0,538
|
0,642
|
0,767
|
0,916
|
1,093
|
1,305
|
1,558
|
1,860
|
2,220
|
80
|
0,459
|
0,549
|
0,657
|
0,787
|
0,941
|
1,127
|
1,348
|
1,613
|
1,931
|
2,310
|
IE, at 40s duration a GT+10 is 213% better than a GT+1. At 80s duration it is 504% better income.
Similarly, a GT+10 at 80s duration is 231% better than the one at 60s.
If GT is already at 100% uptime (such as when using MVN or GC), the calculation changes a bit.
T = Number of GT activations = Total duration / d
FI = Final income =T * (I + I * B) => T * I * (1 + B) => Total duration * Kps * income per mob * ((1 + 0.0003 x (Level + 1))^(Kps * d)
Following table shows Relative income when comparing both GT+ levels and duration for GT duration >= 100%.Assumes 5s of mobs at the start of the GT+ that is not included the GT+ bonus and Kps=8.Numbers are relative to GT+10 at 60s.You CANNOT compare the numbers in the above table with numbers in this table. That's like comparing apples to oranges. The calculations are based on difference premises.
Relative income when comparing both GT+ levels and duration for 100% GT uptime
Level/Duration
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
---|
60
|
0,306
|
0,349
|
0,398
|
0,454
|
0,518
|
0,591
|
0,674
|
0,769
|
0,877
|
1,000
|
61
|
0,307
|
0,351
|
0,402
|
0,459
|
0,525
|
0,601
|
0,687
|
0,785
|
0,898
|
1,027
|
62
|
0,308
|
0,354
|
0,405
|
0,465
|
0,533
|
0,611
|
0,700
|
0,802
|
0,920
|
1,054
|
63
|
0,310
|
0,356
|
0,409
|
0,470
|
0,541
|
0,621
|
0,714
|
0,820
|
0,942
|
1,082
|
64
|
0,311
|
0,359
|
0,413
|
0,476
|
0,548
|
0,632
|
0,727
|
0,838
|
0,965
|
1,111
|
65
|
0,313
|
0,361
|
0,417
|
0,482
|
0,556
|
0,642
|
0,742
|
0,856
|
0,988
|
1,141
|
66
|
0,314
|
0,364
|
0,421
|
0,488
|
0,564
|
0,653
|
0,756
|
0,875
|
1,012
|
1,171
|
67
|
0,316
|
0,367
|
0,425
|
0,494
|
0,573
|
0,664
|
0,771
|
0,894
|
1,037
|
1,203
|
68
|
0,317
|
0,369
|
0,429
|
0,499
|
0,581
|
0,675
|
0,785
|
0,913
|
1,062
|
1,235
|
69
|
0,319
|
0,372
|
0,434
|
0,506
|
0,589
|
0,687
|
0,801
|
0,933
|
1,088
|
1,268
|
70
|
0,321
|
0,375
|
0,438
|
0,512
|
0,598
|
0,699
|
0,816
|
0,954
|
1,114
|
1,302
|
71
|
0,322
|
0,377
|
0,442
|
0,518
|
0,606
|
0,710
|
0,832
|
0,974
|
1,141
|
1,336
|
72
|
0,324
|
0,380
|
0,446
|
0,524
|
0,615
|
0,722
|
0,848
|
0,996
|
1,169
|
1,372
|
73
|
0,325
|
0,383
|
0,451
|
0,530
|
0,624
|
0,735
|
0,865
|
1,017
|
1,197
|
1,409
|
74
|
0,327
|
0,386
|
0,455
|
0,537
|
0,633
|
0,747
|
0,881
|
1,040
|
1,226
|
1,446
|
75
|
0,328
|
0,388
|
0,459
|
0,543
|
0,642
|
0,760
|
0,898
|
1,062
|
1,256
|
1,485
|
76
|
0,330
|
0,391
|
0,464
|
0,550
|
0,652
|
0,773
|
0,916
|
1,085
|
1,286
|
1,525
|
77
|
0,332
|
0,394
|
0,468
|
0,556
|
0,661
|
0,786
|
0,933
|
1,109
|
1,318
|
1,565
|
78
|
0,333
|
0,397
|
0,473
|
0,563
|
0,671
|
0,799
|
0,952
|
1,133
|
1,350
|
1,607
|
79
|
0,335
|
0,400
|
0,477
|
0,570
|
0,680
|
0,812
|
0,970
|
1,158
|
1,382
|
1,650
|
80
|
0,336
|
0,403
|
0,482
|
0,577
|
0,690
|
0,826
|
0,989
|
1,183
|
1,416
|
1,694
|
As can be seen, the GT+ level scales the same, but the duration loses some efficacy.