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					|  |  |  | use arithmetic::{evaluate_opt, identity_permutation_mles, VPAuxInfo};
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					|  |  |  | use ark_ec::PairingEngine;
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					|  |  |  | use ark_poly::DenseMultilinearExtension;
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					|  |  |  | use ark_std::{end_timer, log2, println, start_timer, One, Zero};
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					|  |  |  | use ark_std::{end_timer, log2, start_timer, One, Zero};
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					|  |  |  | use std::{marker::PhantomData, rc::Rc};
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					|  |  |  | use subroutines::{
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					|  |  |  |     pcs::prelude::{Commitment, PolynomialCommitmentScheme},
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					|  |  | @ -591,7 +591,6 @@ where | 
			
		
	
		
			
				
					|  |  |  |         assert_eq!(comms.len(), proof.batch_openings.f_i_eval_at_point_i.len());
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					|  |  |  |         // check proof
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					|  |  |  |         println!("last step!!!");
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					|  |  |  |         let res = PCS::batch_verify(
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					|  |  |  |             &vk.pcs_param,
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					|  |  |  |             &comms,
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