diff --git a/src/push_solve.rs b/src/push_solve.rs
index 5db32f0..1d24109 100644
--- a/src/push_solve.rs
+++ b/src/push_solve.rs
@@ -286,10 +286,24 @@ fn get_best_push_ray_and_indices(
 	}
 }
 
+fn get_touch_time(ray:&Ray,c:&Contact)->Planar64{
+	(ray.origin-c.position).dot(c.normal)/(c.velocity-ray.direction).dot(c.normal)
+}
+fn get_first_touch(pnv_list:&Vec<Contact>,ray:&Ray,indices:&Indices)->Option<(Planar64,usize)>{
+	pnv_list.iter()
+		.enumerate()
+		.filter(|&(i,contact)|
+			!indices.contains(&i)
+			&&contact.relative_dot(ray.direction)< -EPSILON
+		)
+		.map(|(i,contact)|(get_touch_time(ray,contact),i))
+		.min_by_key(|&(t,_)|t)
+}
+
 pub fn push_solve(pnv_list:&Vec<Contact>,point:Planar64Vec3)->Option<Planar64Vec3>{
 	let (mut ray,mut indices)=get_best_push_ray_and_indices_0(point)?;
 	loop{
-		let (next_index,next_t)=get_first_touch(pnv_list,ray,indices)?;
+		let (next_t,next_index)=get_first_touch(pnv_list,&ray,&indices)?;
 
 		if Planar64::ZERO<=next_t{
 			return Some(ray.origin);