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We present the first measurement of the angle phi_3 of the Unitarity Triangleusing a model-independent Dalitz plot analysis of B->DK, D->KsPiPi decays. Themethod uses an input measurements of the strong phase of the D->KsPiPiamplitude from the CLEO collaboration. The result is based on the full data setof 772x10^6 BBbar pairs collected by the Belle experiment at the Upsilon(4S)resonance. We obtain phi_3 = (77.3^{+15.1}_{-14.9} +- 4.1 +- 4.3)^{\circ} andthe suppressed amplitude ratio r_B = 0.145 +- 0.030 +- 0.010 +- 0.011. Here thefirst error is statistical, the second is the experimental systematicuncertainty, and the third is the error due to the precision of thestrong-phase parameters obtained by CLEO.

First Measurement of phi_3 with a Model-independent Dalitz Plot Analysis of B->DK, D->KsPiPi Decay