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Find DC current through the diodes

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I am trying to perform the DC analysis of the following circuit:

enter image description here

Since we are performing the DC analysis, the ac voltage sources will be grounded. I have drawn the schematic when AC source is grounded. I am not able to find how the current I will be divided between D1, D2, D3, D4. Please give answers in terms of I. (Please forgive me for my schematic diagram where I have placed nodes in place of arrows)

schematic

simulate this circuit– Schematic created using CircuitLab


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