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Three-Phase Power

Medium#engineering#electrical#power· solved by 0 · time limit 2.0 s

For a balanced three-phase load: real power P=3 VLILcos⁡ϕP = \sqrt3\, V_L I_L \cos\phi, reactive power Q=3 VLILsin⁡ϕQ = \sqrt3\, V_L I_L \sin\phi, apparent power S=3 VLILS = \sqrt3\, V_L I_L. Print PP (kW), QQ (kvar) and SS (kVA), 2 decimals each.

Input

Line voltage VLV_L (V), line current ILI_L (A) and power factor cos⁡ϕ\cos\phi.

Output

PP, QQ, SS.

Constraints

0<VL≤1060 < V_L \le 10^6, 0<IL≤1050 < I_L \le 10^5, 0<cos⁡ϕ≤10 < \cos\phi \le 1

Sample 1

Input

415 20 0.85

Output

12.22 7.57 14.38

Sample 2

Input

400 10 1

Output

6.93 0.00 6.93

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